To make 18 bags of snack mix, Sherry needs
Sherry needs 6 cups of granola to make
cups of almonds.
The recipe will make
bags of the snack mix.
If Sherry uses 1 cup of cranberries, she will need to use
cups of raisins.
bags of the snack mix if Sherry uses only 1 cup of granola.
The completed statement obtained using the proportional relationship between the recipes and the number of bags of snack mix made are presented as follows;'
To make 18 bags of snack mix, Sherry needs 4.5 cups of almondsSherry needs 6 cups of granola to make 12 bags of the snack mixIf Sherry uses 1 cup of cranberries, she will need to use 2 cups of raisins The recipe will make 2 bags of the snack mix if Sherry uses only 1 cup of granolaWhat is a proportional relationship?A proportional relationship is one in which the output variable is a constant multiple of the input variable.
The possible recipe to make 6 bags of snacks obtained froma similar question is presented as follows;
3 cups of granola
1 cup of raisins
1.5 cup of almonds
0.5 cup of cranberries
0.75 cup of chocolate chips
The evaluation of the possible statements in the question that requires completion using proportional relationships of the recipe, are presented as follows;
1. To make 18 bags of snack mix, Sherry needs ___ cups of almonds
18 = 3 × 6
Therefore, the amount ingredients required to make 18 bags of the snack mix is 3 times the amount of ingredients in the recipe, which indicates;
The number of cups of almonds Sherry needs = 3 × 1.5 = 4.5
To make 18 bags of snack mix, Sherry needs 4.5 cups of almonds2. Sherry needs 6 cups of granola to make ___ bags of the snacks
The number of granola required for 6 bags = 3 cups
6 = 2 × 3
The number of bags of the snack mix 6 cups of granola can make is twice the number made by 3 cups, of granola or 2 × 6 = 12 bags of snack mix.
Sherry needs 6 cups of granola to make 12 bags of the snacks3. If Sherry uses 1 cup of cranberries, she will need to use ___ cups of resins
The number of cups of cranberries in the recipe = 0.5 cups
Number of cups of resins in the recipe = 1 cup of resin
Therefore, 1 cup of resin is required for 0.5 cups of cranberries
2 × 1 = 2 cups of resins will be required for 2 × 0.5 = 1 cup of cranberries
4. The recipe will make ___ bags of snack mix if Sherry uses only 1 cup of granola
3 cups of granola are required for 6 bags of snack mix
Therefore; 3/3 = 1 cup of granola will be required for 6/3 = 2 bags of the snack mix
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if a car salesman makes $1100 a month plus a 3% commission on all sales, how much money did he make in a month where all his sales totaled $120,000?
Answer:
Step-by-step explanation:
Stop Cheating.
chapter 4 review worksheet You want to get the new Iphone. You have two options when purchasing the phone. You can pay a one-time charge of 200$ and then an additional $15 per month . The second option is not paying any money at this time and having a monthly bill of 40$ a month Set up a system of equations to represent this situation. Remeber to define a variable. Find the time in months when both of these plans would pay off the same amout of money for the new phone
The months when both of these plans would pay off the same amout of money for the new phone is 8 months.
How many months will both of these plans would pay off the same amount?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario
Let the number of months be x
You can pay a one-time charge of 200$ and then an additional $15 per month. This will be 200 + 15x. The second option is not paying any money at this time and having a monthly bill of 40$ a month. This will be 40x.
The equation will be
200 + 15x = 40x
Collect like terms
40x - 15x = 200
25x = 200
Divide
x = 200/25
x = 8
The number of months is 8.
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what is the equation of the function shown in the graph, given that the equation of the parent function is f(x)=(17)x?
The equation is shown in the graph as (C) g(x) = (1/7)^x - 4.
What are equations?A relationship between two terms on either side of an equal sign is described by a straightforward equation.
Additionally, addition, basic arithmetic, multiplication, and division are one or more of the four arithmetic calculations that simple equations undertake.
The system of equations can be expressed in three different ways: in point-slope form, standard form, and slope-intercept form.
So, the parent function is therefore known to be:
f(x) = (1/7)^x
Observe that the y-intercept results from evaluating this in zero:
f(0) = (1/7)^0 = 1
The graph's y-intercept is located at y = -3.
As a result, the function was translated downward by 4 units, bringing it to a point 4 units below the y-intercept of the parent function.
Thus, the graphed function is as follows:
g(x) = f(x) - 4
g(x) = (1/7)^x - 4
Therefore, the equation is shown in the graph as (C) g(x) = (1/7)^x - 4.
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Complete question:
What is the equation of the function shown in the graph, given that the equation of the parent function is f(x)=(1/7)^x ?
A. g(x)=(1/7)^x−3
B. g(x)=(1/7)^x−2
C. g(x)=(1/7)^x−4
D. g(x)=(1/7)^x+3
Xp-rx=ah
Solve for P
(Steps needed)
The value of p in the equation is as follows:
p = ah / x + rHow to find the subject of a formula?The subject of a formula is the variable which is expressed in terms of the other variables.
In other words, the subject of the formula is the variable which is on the left hand side of the formula.
Therefore, let's make p the subject of the formula in the equation xp - rx = ah.
xp - rx = ah
add rx to both sides of the equation
xp - rx = ah
xp - rx + rx = ah + rx
xp = ah + rx
divide both sides by x
xp = ah + rx
xp / x = ah / x + rx / x
Therefore, the value of p = ah / x + r
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tell whether the orthocenter is inside, on, or outside the triangle. then find the coordinates of the orthocenter. x(-3,2)
Therefore , the solution of the given problem of triangle comes out to be
Orthocentre (0, - 5 ).
How do triangles function?Triangles are polygons with three sides and three vertices. The triangle's angles are created by joining its three sides end to end at a single point. The triangle has three angles, and the sum of them is 180 degrees.
Here,
We need the lengths of the triangle's three sides in order to identify which of the aforementioned cases the triangle fits into.
Make the length calculations using the distance formula.
d = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]
L(0, 5) and M(3, 1)
LM =d = [tex]\sqrt{(3-0)^{2}+(1-5)^{2}}[/tex] = 5
L(0, 5) and (N(8, 1)
LN = d = [tex]\sqrt{(8-0)^{2}+(1-5)^{2}}[/tex] = √80
M(3, 1) and (N(8, 1)
MN = [tex]\sqrt{(8-3)^{2}+(1-1)^{2}}[/tex] = 5
If a triangle has three sides, a, b, and c, and side c is the longest, then
• Right triangle formed by a2 + b2 = c2
• a2 + b2 c2 - acute triangle
Triangle with angles a2, b2, and c.
A, B, and C are equal to five in this instance.
a² + b² = 5² + 5² = 25 + 25 = 50
c² = (4 )² = 80
A triangle is obtuse and the orthocentre lies outside the triangle because a2 + b2 c2.
The place where the triangle's three altitudes converge is known as the orthocentre.
For the orthocentre's coordinates, we only need to simultaneously solve
the equations for two of the altitudes.
A line drawn at a right angle from a vertex to the other side is known as an altitude.
Altitude from M to LN
Calculate the slope of LN using the slope formula
m = (y2 - y1 )/ (x2- x1 ) = 1-5/8-0 ⇒ = 2
Equation of altitude
y - 1 = 2(x - 3)
y - 1 = 2x - 6
y = 2x - 5 → (1)
Altitude between M and LN
Utilize the slope formula to determine LN's slope.
m = (y2 - y1)/ (x2- x1) = 1-5/8-0 ⇒ = 2
formula for altitude
y - 1 = 2(x - 3) (x - 3)
y - 1 = 2x - 6
y = 2x - 5 → (1) (1)
Altitude between N and LM
m = (y2 - y1)/ (x2- x1) = 1-5/3-0 ⇒ -3/4
formula for altitude
y - 1 = (x - 8) (x - 8)
y - 1 = x - 6
y = x - 5 → (2) (2)
Adding (1) to (2)
2x - 5 Equals x - 5 ( multiply through by 4 ) ( multiply through by 4 )
8x - 20 = 3x - 20
5x - 20 = - 20 ( add 20 on both sides ) ( add 20 to both sides )
5x = 0 ⇒ x = 0
Place x = 0 in place of (1)
y = 0 - 5 = - 5
It is the orthocentre (0, - 5 )
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9/17 in decimal form rounded to the nearest hundredth
Answer:
0.53
Step-by-step explanation:
0.6 because you divide 9 and 17
Why is square a regular polygon?
A Polygon is a closed figure made up of line segments (not curves) in a two-dimensional plane. Polygon is the combination of two words, i.e. poly (meaning many) and gon (meaning sides). Usually , a minimum of three line segments is required to connect end to end, to make a closed figure. In terms of geometry, a polygon is a plane figure that is described by a finite number of straight line segments (greater than 3) connected to form a closed polygonal chain.
A regular polygon is a polygon with sides equal in length and angles equal in measure. For example, a square has all four sides equal and all four angles equal to 90 degrees. Hence, it is a regular polygon.
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Shaundra went to 4 stores and found these prices for cases of water.
Super Buy: 12 bottles for $3.96
Fresh Grocers: 8 bottles for $2.08
Saveway: 24 bottles for $5.52
Shop and Go: 36 bottles for $7.56
Lod
Which store charges the least amount per bottle?
Answer:
Step-by-step explanation:To determine which store charges the least amount per bottle, you need to calculate the price per bottle for each store. You can do this by dividing the total price of the cases by the number of bottles in each case.
For Super Buy, the price per bottle is $3.96 / 12 bottles = $0.33 per bottle.
For Fresh Grocers, the price per bottle is $2.08 / 8 bottles = $0.26 per bottle.
For Saveway, the price per bottle is $5.52 / 24 bottles = $0.23 per bottle.
For Shop and Go, the price per bottle is $7.56 / 36 bottles = $0.21 per bottle.
Based on these calculations, it looks like Shop and Go charges the least amount per bottle at $0.21.
What is the answer to this equation 12 1/4 - 5 2/3
Answer:
6 7/12
Step-by-step explanation:
"12 1/4 - 5 2/3" is an expression. It is not said to equal anything. The "=" sign makes it an equation. But we can evalute an expression by simplyfying it. Let's do the subtraction. We first need to convert one of the fractions so that it has the same denominator as the other.
12 1/4 - 5 2/3 can be written as (12 - 5)+(1/4 - 2/3)
(12 - 5)+(1/4 - 2/3)
(7)+(1/4 - 2/3) Let's convert both fractions to have denominators of 12 [since 4*3 = 12]
7 + 1/4 - 2/3
7 + (1/4)*(3/3) - (2/3)*(4/4) [Multiply the tqo fractions by (3/3) and (4/4), repectively. This is OK since both are the equivalent of multiply by 1. But it converts the denominators so that we can now add or subtract.
7 + (3/12) - (8/12)
7 - (5/12)
or 6 7/12
What equals number nineteen
13+16 are the numbers that equals to 19.
What is equal number?The equal sign in the mathematics describes by equality between the values,. Of the equations, or expressions are the written on both sides. There symbol for equal to is two be the small horizontal lines placed to parallelly. We place the to the 'equal to' sign is between two things that are to the same or equal.
As we know,
If two things are equal or if one thing is equal to the another, they are the same or in the size, number, standard, or values .
As per the question we have to find equal number of 19.
So 13+6 are the equal number that equals to 19.
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David rowed a boat upstream for three miles and then returned to point he started from. The entire journey took four hours. The speed of the stream is one mile per hour. Find David's speed in still water.
David's speed in still water 2 mile per hour , using downstream and upstream concept in river .
What is downstream and upstream in river?
Downstream : Towards the river where flow ends
In this river speed get added in rowing boat speed.
Upstream : Opposite to the flow of river
In this river speed gets subtracted from rowing boat speed.
In given que , one time boat is rowed by David in upstream and got back to original place i.e. case of downstream.
Speed of river = 1mile per hour
Let speed of David = x mile per hour.
Total time taken = 4 hour
As we know time = total distance / speed
Total distance covered by David = 3+3 = 6 miles
In upstream speed = x-1
In downstream speed = x+1
So, time = 3/(x-1 )+ 3/(x+1)
4/3 = 1/x-1 + 1/x+1
Solving this we get,
2x^2 - 3x - 2 = 0
Solution for this eq will be
x = 2, -1/2
But speed can't be negative.
So, x= 2mile per hour.
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veterinarians often use nonsteroidal anti-inflammatory drugs (nsaids) to treat lameness in horses. a group of veterinary researchers wanted to find out how widespread the practice was in the united states. they obtained a list of all veterinarians treating large animals, including horses. they sent questionnaires to all the veterinarians on the list. such a survey is called a census. the response rate was 40%. which statement is correct?
All veterinarians that responded to the questionnaire were included in the sample.
Which of the subsequent claims is true?All veterinarians who responded to the survey made up the sample.the total number of veterinarians in the US who treat horses and other large animals.Non-steroidal anti-inflammatory medicines are frequently prescribed by veterinarians to treat lameness in horses.Researchers in the field of veterinary medicine were interested in learning how prevalent the practise was in the country.They were given a list of all vets who cared for horses and other large animals.All the veterinarians on the list received questionnaires.A census is the name given to such a survey.Complete Question : Veterinarians often use non-steroidal anti-inflammatory drugs to treat lameness in horses. A group of veterinary researchers wanted to find out how widespread the practice was in the United States. They obtained a list of all veterinarians treating large animals, including horses. They sent questionnaires to all the veterinarians on the list. Such a survey is called a census. The response rate was 40%. Which of the following statement is correct?
a. The sample consisted of all veterinarians on the list and therefore equaled the target population.
b. The sample consisted of all veterinarians who returned the questionnaire.
c. The sample consisted of all veterinarians who treat horses with NSAIDs.
d. None of the choices are correct.
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How do you solve 3(x−4)=15?
Answer:
9
Step-by-step explanation:
3(x-4)=15
Use distributive property with the 3 (multiply 3 times x and 3 times -4)
3x-12=15
Add the 12 to both sides.
3x=27
divide 27 by 3.
x=9
Answer:
x = 9
Step-by-step explanation:
How do you solve 3(x−4)=15?
3(x − 4) = 15
divide both side by 3
x - 4 = 5
x = 5 + 4
x = 9
----------------
check
3(9 - 4) = 15
9 - 4 = 5
5 = 5
the answer is good
a concesquence can be defined as
Answer:
an outcome
Step-by-step explanation:
Find the total future amount if $500 is invested at 6.5% simple interest for 8 years
Answer: $552
Step-by-step explanation:
Let x be the number of year and y is the total amount
We have the equation
y= 6.5x + 500
Then put 8 in for the x
y= 6.5(8) + 500
y= $552
Desde un punto en tierra ubicado a 4m de un poste, se divisa su parte alta con un ángulo de elevación de 37°. ¿Cuál es la altura del poste?
The height of the pole will be 3m (approx.)
What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.We have the ground located 4 m from a pole, its upper part can be seen with an elevation angle of 37°.
We can write the height of the pole as -
h = 4 tan(37°)
h = 4 x 0.75
h = 3 m (approx.)
Therefore, the height of the pole will be 3m (approx.)
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[Question in english -
From a point on the ground located 4m from a pole, its upper part can be seen with an elevation angle of 37°. What is the height of the pole?]
Find the absolute value. |4 - 5i|
The absolute value for |4 - 5i| =[tex]\sqrt{41}[/tex].
Without taking into account direction, absolute value describes how far a number is from zero on the number line. A number's absolute value can never be negative. Look at some illustrations. 5 is the sum of its absolute values. There are 5 units between 5 and 0. A negative number has a positive absolute value, too. If x 0, then |x| = -x gives the absolute value of the supplied number.
For illustration, |-2| = 2. No matter what the numerical value's sign, the absolute value is always positive.
Here complex number form =|a+ib|
= |4-5i| Here a=4, b=(-5).
[tex]|a+ib| = \sqrt{a^{2}+b^{2} } \\\\\sqrt{4^{2}+5^{2} } \\\\\sqrt{16+25} \\\\\sqrt{41} \\[/tex]
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to make one pan of baklava, dorothea needs 400 grams of filo pastry. if dorothea plans to make 6 pans of baklava, how many kilograms of filo pastry will she need?
Dorothea needs 2.4 kilograms of filo pastry to make on pan of baklava.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b.
Given that,
The quantity needed of filo pastry to make one pan of baklava = 400 grams
To find the quantity of pastry to make 6 pans of baklava
Use ratio property,
1 pan of baklava needed = 400 grams
6 pans of baklava needed = 400 x 6 = 2400 grams
Since, 1000 gram = 1 kilogram
2400 gram = 2.4 kilograms
Hence, Dorothea needs 2.4 kilograms of filo pastry.
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Last year, Kareem opened an investment account with $8500. At the end of the year, the amount in the account had decreased by 6.6%. How much is this decrease in dollars? How much money was in his account at the end of last year?
Using Percentage concept, Kareem had $7939 at the end of last year
What is PercentagePercentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.
In this problem, we could attempt to use reverse of simple interest formula, however, we can directly find 6.6% of 8500 and subtract it from the principal.
This is calculated as;
6.6/100 = x / 8500
0.066 = x / 8500
x = 8500 * 0.06
x = 561
The investment decreased by $561
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1. Stephen has discovered a blow-out sale at the music store in the mall. The cost of 3 sets of guitar
strings, 2 guitars, and 2 amps is $472. The cost of 2 sets of guitar strings and 1 guitar is $212. The cost
of 4 sets of strings and 1 guitar is $322. If x represents sets of guitar strings, y represents guitars, and z
represents amps, write a system of equations that can be used to determine the sale price of the sets
of strings, the guitars, and the amps? What is the cost for each amp?
Each amp costs_____?
The system of equations that can be used to determine the sale price of the sets of strings, the guitars, and the amps.
3x + 2y + 2z = 472
2x + y = 212
4x + y = 322
The cost of each amp is $51.
What is an equation?An equation is a mathematical statement made up of two expressions connected by an equal sign.
We have,
3x + 2y + 2z = 472 ____(1)
2x + y = 212 ____(2)
4x + y = 322 ____(3)
From (2) and (3) we get,
Multiply 2 on (2).
4x + 2y = 424
4x + y = 322
(-) (-) (-)
y = 102
Now,
2x + y = 212
2x = 212 - y
2x = 212 - 102
x = 110/2
x = 55
Now,
x = 55
y = 102
From (1) we get,
3x + 2y + 2z = 472
3 x 55 + 2 x 102 + 2z = 471
165 + 204 + 2z = 471
2z = 102
z = 51
Thus,
The system of equations that can be used to determine the sale price:
3x + 2y + 2z = 472
2x + y = 212
4x + y = 322
The cost of each amp is $51.
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Josh bought 4.4 pounds of green
beans for $1.65 per pound. How
much did he pay for the green
beans?
Answer:
$7.26 with out tax
Step-by-step explanation:
If beans cost $1.65 per pound and Josh bought $.4 pounds, the you multiply 4.4 * 1.65= 7.26 then you add a $ at the begining
Answer:
Josh payed $7.26 for the green beans.
Step-by-step explanation:
⭐What does "per pound" mean in the context of this problem?
"per pound" means that 1 pound of green beans costs $1.65In this problem, we are given the ratio of cost to pounds.
⭐What is a ratio?
a ratio is a fraction that compares two unitsin this problem, the two units are the cost and the poundsIf we want to find how much it costs for Josh to purchase 4.4 pounds of green beans, we need to create a proportion.
⭐What is a proportion?
a proportion is when you set two ratios equal to each other to solve for one of the unknown unitsFirst, let's create 2 ratios. Let x= the cost for 4.4 pounds:
[tex]\frac{1.65}{1 pound}[/tex] . . . (1)
[tex]\frac{x}{4.4 pounds}[/tex] . . . (2)
Next, set these ratios equal to each other to create a proportion. Make sure the same units stay in the numerator or denominator:
[tex]\frac{1.65}{1 pound} = \frac{x}{4.4 pounds}[/tex]
Then, multiply the LHS and RHS by 4.4 pounds to isolate the "x" variable:
[tex]\frac{1.65}{1 pound} (4.4) = \frac{x}{4.4}(4.4)[/tex]
[tex]\frac{7.26}{1} = x[/tex]
∴ It costs Josh $7.26 for 4.4 pounds of green beans.
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If you have two main effects, and one main effect is significant, this means that a. The other main effect may or may not be significant but the interaction effect is definitely significant b.The other main effect and the interaction effect are not significant
c. The other main effect and the interaction effect are significant d. The other main effect and the interaction effect may or may not be significant
If you have two main effects, and one main effect is significant, this means that d. The other main effect and the interaction effect may or may not be significant
What exactly is a significant effect in research?A statistically significant result indicates that it is unlikely to be explained solely by chance or random factors. In other words, if there is no true effect in a research study, a statistically significant result has a very low chance of occurring.
The significance level is the threshold at which one can accept whether an event is statistically significant. Researchers use the p-value to determine statistical significance: if the p-value is less than the significance level, the result is statistically significant.
If you have two main effects and one of them is significant, the other one and the interaction effect may or may not be significant.
In conclusion, based on the information illustrated, the correct option is D.
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Use I = PRT to solve.
(time is in years).
P = $400 find I
R = 9%
T = 0.25 years
(Remember 9% = .09 in decimal form)
Answer:
Step-by-step explanation:
Given,
[tex]P = $400 find I\\R = 9%\\\\T = 0.25 years[/tex]
[tex]T=0.25[/tex](Remember 9% = .09 in decimal form)
So We convert it into a decimal form
[tex]\frac{9}{100} =0.09[/tex]
Now we find the Interest,
[tex]I=PRT\\[/tex][tex]I = 400X0.09X0.25\\I=36X0.25\\I=9$[/tex]
9$ is the answer
I will mark right answer brainy thing
Answer: D
Step-by-step explanation:
Answer: D
Step-by-step explanation:
We are trying to find out how this situation leads to 30 miles for d.
We know he has 14 miles to the gas station, and he has gone an unknown amount in 2 hours, t.
30=Xt+14
Solving for X: 30=X(2)+14
X=8
a dealer sold a total of 60 of the three appliances listed in the table above for a total of $4,200. if the dealer sold twice as many food processors as mixers, what was the ratio of the number of blenders sold to the number of food processors sold?
On solving the provided question, we got to know that, Blenders sold as a percentage of food processors sold is 30/20, or 3/2.
What is equation?Since equations are essentially questions, efforts to systematically find answers to those questions have been the driving force behind the development of mathematics. From straightforward algebraic equations that just require addition or multiplication to differential equations, exponential equations that use exponential expressions, and integral equations, there are many different types of equations that range in complexity.
Compared to mixers, the dealer sold twice as many food processors.
Let M be the quantity of mixers sold.
Therefore, 2M is the quantity of food processors sold.
A total of 60 of the three appliances were sold by the dealer.
M + 2M = 3M
Thus, 3M is a representation of the whole sales of mixers and food processors.
60 appliances were purchased in total, thus 60 - 3M equals the quantity of blenders purchased.
Everything was sold by the merchant for a total of $4,200.
We get: (30)(M) + (120)(2M) + (50)(60 - 3M) = 4,200
30M + 240M + 3000 - 150M = 4200
130M + 3000 = 4200
120M = 1200
M = 10
The retailer so sold 10 mixers.
This indicates that the vendor sold 20 food processors and 30 food processors.
Blenders sold as a percentage of food processors sold is 30/20, or 3/2.
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5) At the Corelle Factory Outlet Store, all baking dishes are marked 30% off from the
original price. If the item stays in the store longer than one month, it is reduced
10% more off the sale price. What would be the price of a set of baking dishes
that stays on the shelf longer than a month and originally sold for $75?
75 (0.10) = $15
A
B
C
$35
$47.25
$52.25
D $53.75
(closest)
960
Answer:
$47.25
Step-by-step explanation:
When the price goes down by 30%, you pay 70% of the original price.
When the price goes down by 10%, you pay 90% of the original price.
0.9 × 0.7 × $75 = $47.25
DOUBLE POINTS!!! Please help!
answer
x=-10
x=0
Step-by-step explanation:
x(x+10) =0
apply zero product property
sorry if this is a straight forward answer
Answer:
The first solution is -10 and the second solution is 0
Step-by-step explanation:
The question is x * (x+10) = 0
When the product of factors equals 0, at least one factor is 0:
x = 0
x+10 = 0 which can be simplified to x = -10 by subtracting 10 from both sides. Thus, the two solutions to x * (x+10) = 0 is -10 and 0.
See screenshot below.
Using system of linear equations he will require 20kg of 15% copper and 30kg of 70% copper to produce an alloy of 48% in 50kg
System of Linear EquationThe system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1. Linear equations can have one variable, two variables, or three variables.
To solve this problem, we need to write a system of linear equations and find the equivalent amount of the metal required to make the desired amount of the alloy.
0.15x + 0.7y = 0.48(50) ..eq(i)
0.15x + 0.7y = 24 ...eq(i)
x + y = 50 ...eq(ii)
solving equation (i) and (ii)
x = 20, y = 30
He needs 20kg of 15% copper and 30kg of 70% copper to get 48% of 50kg of alloy.
Learn more on system of linear equation here;
https://brainly.com/question/13729904
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g suppose a small library has five book shelves labeled a-e. in how many different ways can 30 books be placed on these shelves if the books are all different
There are 150 different ways can 30 books be placed on these shelves if the books are all different.
The number of shelves on a bookshelf is 5.
The number of books on one shelf is 30.
The number of books on 5 shelves= The number of books on one shelf *The number of shelves.
which implies that, the total number of books =30*5
By multiplying 30 by 5 we get 150
total number of books =150.
hence, bookshelves have 150 books if books are placed differently.
To learn more about the arrangments of books on shelves, click on brainly.com/question/23160291.
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