Answer:
y=7x+
Step-by-step explanation:
y=mx + b
b is the number y is at when x is at
0
m us the slope or the number y goes up for each 1 number x does
in this set you can see when x is at 0 y is at 1 then for the next one you see when x is 1 y is 8 which is a 7 increase for
IN THIS AREA
20 The density of apple juice is 1.05 grams per cm³.
The density of fruit syrup is 1.4 grams per cm³.
The density of carbonated water is 0.99 grams per cm³.
25 cm³ of apple juice are mixed with 15 cm³ of fruit syrup and
280 cm³ of carbonated water to make a drink with a volume of 320 cm³.
Work out the density of the drink.
Give your answer correct to 2 decimal places.
The density of drink is 1.01 g/cm³ when 25 cm³ of apple juice are mixed with 15 cm³ of fruit syrup and 280 cm³ of carbonated water to make a drink with a volume of 320 cm³.
What is density?The density of a substance demonstrates the substance's density in a particular area. Mass per unit volume is the definition of density for a material. In essence, density is an indicator of how closely together matter is arranged.
It is one of an object's special physical characteristics. Greek scientist Archimedes was the first to understand the density principle. Knowing the formula and the corresponding units will make calculating density simple. Density can be symbolized by the letter D or by the symbol.
We know that the formula for density is
D = m/V
Where,
D = Density
m = mass,
V = Volume
25 cm³ of apple juice are mixed with 15 cm³ of fruit syrup and
280 cm³ of carbonated water to make a drink with a volume of 320 cm³.
Let us find the mass of each drink mixed to make the new drink
mass = density × volume
mass of apple juice = 1.05 × 25
= 26.25 g
Mass of fruit syrup = 1.4 × 15
= 21 g
Mass of carbonated water = 0.99 × 280
= 277.2 g
Total mass of the drink = 26.25 g + 21 g + 277.2 g
= 324.45 g
Volume of the given drink = 320 cm³
Density of the drink = total mass of liquids/ volume
= 324.45g/320cm³
= 1.01 g/cm³
Thus, the density of drink is 1.01 g/cm³ when 25 cm³ of apple juice are mixed with 15 cm³ of fruit syrup and 280 cm³ of carbonated water to make a drink with a volume of 320 cm³.
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Helpppp this assignment is due in like 30 minutessss
a student has 273 matchsticks with which make a pattern of nested triangles.if all matches are used,how many matchstick will each side of the biggest triangle contain
The number of matchsticks that each side of the biggest triangle contains is; 137 matchsticks
How to find the biggest side of a triangle?
We know that for a diagram to be a triangle, then two smallest sides must not be greater than the third side.
Now, if there are 273 matchsticks, then the greatest side of the triangle must not be less than 273/2 = 136.5 ≈ 137
Thus, the largest side will have at least 137 matchsticks
Using the function, y = 2x-1
generate a coordinate pair for an x value of 7.
A (13,7)
B (7,13)
C (7.26)
D (7.8)
Can someone help me it's due tomorrow
Doing one problem would work for me
The common denominator for the fractions given will be:
1. The common denominator is 8.
2. The common denominator is 6.
3. The common denominator is 10.
4. The common denominator is 12.
How to illustrate the denominator?It should be noted that when a fraction is illustrated as a/b.
a = numerator
b = denominator.
1. We have 1/8 and 1/4. The common denominator is 8 since that's the lowest common multiple for the denominators.
2. We have 4/6 and 1/2. The common denominator is 6 since that's the lowest common multiple for the denominators.
3. We have 2/5 and 1/2. The common denominator is 10 since that's the lowest common multiple for the denominators.
4. We have 5/12 and 1/4. The common denominator is 12 since that's the lowest common multiple for the denominators.
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Graph the line with the equation y=1/5x-2
The graph of the equation "y = 1/5x - 2" is shown: (Refer to the graph attached below.)
What is a graph?In mathematics, a graph is a visual representation or diagram that shows data or values in an ordered way. The relationships between two or more things are frequently represented by the points on a graph. Bar graphs, circle graphs, and line graphs are the three most frequently used types of graphs. Different types of data can be displayed using different types of graphs.Graphs and charts are useful visual aids because they make information accessible and quick to understand. Therefore, it is not surprising that print and electronic media frequently use graphs. When data is presented as a graph rather than a table, it can sometimes be easier to understand because the graph can show a trend or comparison.So, graph of equation: y = 1/5x - 2
Then, the graph of the equation "y = 1/5x - 2": (Refer to the graph of the equation attached below.)The coordinates will be, (0, -2).Therefore, the graph of the equation "y = 1/5x - 2" is shown.
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work out the area of a circle with radius of 7.5cm take pi to be 3.142 and give your answer to 2.d.p
The area of the circle is found to be 176.74 cm² up to two decimal points.
What is defined as the term circle?A circle is a round figure with no corners as well as edges.A circle is defined in geometry as a closed, 2-dimensional curved shape.The center of the a circle is the point in such a circle from which all distances to the circle's points are equal. This distance is known as the circle's radius.Semicircle is ½ a circle because semi means half. It is made by cutting a complete circle across a line segment that passes through the circle's center. This line segment has been known as the circle's diameter.For the given question,
The radius of the circle is 7.5 cm.
The formula for the area of the circle is;
Area = πr²
π = 3.142 and r is the radius.
Put the values.
Area = 3.142 × 7.5²
Area = 176.74
Thus, the area of the circle is found to be 176.74 cm² up to two decimal points.
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Simplify. 4·(−6)+(−6)-(-5)
please help, I'm working on overdue work and im reslly stressed because if I don't get this done i wont be able to see my long distance gf next week. Thank you for your time.
Answer:
= -7
Step-by-step explanation:
(−6)+(−6)-(-5)
= -6 - 6 + 5
= -7
Festival A will be in a rectangular field with an area of 80 000 m²
The greatest number of people allowed to attend Festival A is 425
Festival B will be in a rectangular field 700 m by 2000 m.
The greatest number of people allowed to attend Festival B is 6750
The area per person allowed for Festival B is greater than the area per person allowed
for Festival A.
(a) How much greater?
Give your answer correct to the nearest whole number.
The area per person allowed for Festival B is 19 m² greater than the area per person allowed for Festival A.
How is the area per person determined?To compute the area per person for each festival, we determine the total areas for Festival A and Festival B.
The total area for each festival is then divided by the most significant number of persons allowed.
Remember that the area is the product of length and width squared.
The area of the rectangular field for Festival A = 80,000 m²
The length of the field for Festival B = 2,000 m
The width of the field for Festival B = 700 m
The area of the rectangular field for Festival B = 1,400,000 m² (700 x 2,000)
The most significant number of persons attending Festival A = 425
The greatest number of persons attending Festival B = 6,750
The area per person for Festival A = 188 m² (80,000 m²/425)
The area per person for Festival B = 207 m² (1,400,000 m²/6,750)
The difference between the area per person for Festival A and Festival B = 19 m² (207 - 188).
Thus, we can conclude that Festival B has 19 m² areas per person allowed than Festival A.
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Graph AFGH with vertices F(- 2, 2) , G(- 2, - 4) and H(- 4, - 4) and its image after the similarity transformation.
Dilation: (x, y) -> (3/4 * x, 3/4 * y)
Reflection: in the x-axis
The reflection over the x- axis are F" (-3/2 , -3/2), G" (-3/2 , 3) ,
H" (-3 , -3).
Given,
Dilation: (x, y) -> (3/4 * x, 3/4 * y)
From the graph,
Angle FGH with vertices F(- 2, 2) , G(- 2, - 4) and H(- 4, - 4)
To find the reflection.
Now, According to the question:
Let's know the Reflection over x - axis:
The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
Come to the solution:
F(- 2, 2) , G(- 2, - 4) and H(- 4, - 4)
Dilation: (x, y) -> (3/4 * x, 3/4 * y)
F' (3/4 × -2 , 3/4 × 2) = (-3/2 , 3/2)
G' (3/4 × -2 , 3/4 × -4) = (-3/2 , -3)
H' (3/4 × -4 , 3/4 × -4) = (-3 , -3)
Reflection in the x -axis of FGH are:
F" (-3/2 , -3/2)
G" (-3/2 , 3)
H" (-3 , -3)
Hence, The reflection over the x- axis are F" (-3/2 , -3/2), G" (-3/2 , 3) ,
H" (-3 , -3).
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Log (2x+1) - log(3x -1) =1
Find x
Answer:
11/28
Step-by-step explanation:
[tex]\log \left(\frac{2x+1}{3x-1} \right)=1 \\ \\ \frac{2x+1}{3x-1}=10 \\ \\ 2x+1=30x-10 \\ \\ 11=28x \\ \\ x=11/28[/tex]
On checking this solution in the original equation, we see it works.
You are being asked to create a new design and propose this to sm prime holdings. the following are needed in your proposal: 1. the total number of seats in the coliseum must be between 18 000 and 22 500. one ring of the seats all the way around the court at the center is considered a row and row 1 is the row closest to the court. 2. the number of seats in each row must form an arithmetic sequence , increasing by the same number in each subsequent row. 3. your task is to decide on the total number of seats in the coliseum by designing a seating arrangement that has reasonable number of rows by determining ; a. the number of seats in the first row. b. the number of rows required. c. the number of seats by which each row increase. d. the number of seats in the last row. e. the total number of seats in the arena. >how many seats are they in the first row? >how many seats increased in each rows? >how many seats in the last row? >how many seats are they in the arena?
Using the properties of arithmetic sequence , we calculate
a) 100 seats in the first row (b) 40 rows are required (c) 22 more seats in each row (d) 958 seats in the last row.
The overlap of any two doubly infinite arithmetic progressions seems to be either empty or another arithmetic progression, according to the Chinese remainder theorem.
If every pair of advancements in a family of twice infinite arithmetic progressions has a non-empty intersection, then there is a number that connects all of the pairs; consequently, an infinite arithmetic progression is a member of the Helly family.
However, rather than being an unending progression in and of itself, the intersection of an infinite number of infinite arithmetic progressions might be a particular number.
We know that the AP has the total number of seats between 18 000 and 22 500.
So if we take first term as 100 common difference as 22 and 40 rows we get :
sum = [tex]\frac{40}{2} [2\times 100+(40-1)22] = 21160[/tex]
Therefore the number of seats in the arena matches the required description.
and the last row will have 100+(39)22 = 968 seats.
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Can someone please help me with this?
Answer:
constant of proportionality = 10
Step-by-step explanation:
the equation to find the constant of proportionality is,
y = kx
where k is the constant of proportionality
by substituting any value of y and x from the table,
30 = k3
thus, k = 10
for any given number of counselor the children will be it's ten times.
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form
Please show a picture below where the lines are plotted!
The slope of the given line is 0.8.
From the given graph, the coordinate points are (0, 3.5) and (-4.5, 0)
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope of a line is defined as the change in y-coordinate with respect to the change in x-coordinate of that line.
So, slope = (y2-y1)/(x2-x1)
= (0-3.5)/(-4.5-0)
= 3.5/4.5
= 0.77
≈ 0.8
Therefore, the slope of the given line is 0.8.
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Please solve this problem and show work.
Option c) 4.8 is solution to this equation.
Define cube root.The factor we multiply by itself three times to obtain a number is its cube root. 3 cube root of, end cubic root is the symbol for the cube root. The definition of a cube is the process of multiplying a number by itself three times, and a cube root is the opposite of a cube. Alternately, we could state that a number's cube root gives us a number that, when cubed, gives us the same number and is referred to as a perfect cube. Both the prime factorization approach and the long division method can be used to get a number's cube root.
Given Data
x³ + 9 = 117
x³ = 117 - 9
x³ = 108
x =∛108
Cube root:
x = 4.76
Option c) 4.8 is solution to this equation.
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The ratio of men to women working for a company is 5 to 6. If there are 102 women working for the company, what is the total number of employees?
Answer:
187 people
Step-by-step explanation:
5 to 6 is the same as 5/6. 5 is the men and 6 is the women. We know that there are 102 women so we can arrange this equation.
[tex]\frac{5}{6}[/tex] = [tex]\frac{x}{102}[/tex]
Re-arrange the equation to find x, or the number of men in the company.
[tex]\frac{(102*5)}{6}[/tex] = x
x = 82
We have found the number of men in the company. Now add the number of men and women.
102 + 82 = 187
187 total people!
Answer: 187 employees
Step-by-step explanation:
ratio of men to women: 5:6
number women working for company: 102
to work out the number of men working for the company, you must first find out what you have to multiply 6 by to get to 102
therefore you do 102/6 which is 17
now you do 17x5 to work out how many men are working for the company which is 85
total number of employees: 102+85=187
-5y+4=-11 what does y equal
Answer:
y=3
Step-by-step explanation:
-5y = -15
divide by -5 on both sides to get y=3
Answer: y= -7/5
steps in the picture below!
Kira the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday there were 2 clients who did Plan A and 3 who did Plan B. On Thursday there were 5 clients who did Plan A and 6 who did Plan B. Kira trained her Wednesday clients for a total of 3 hours and her Thursday clients for a total of 7 hours. How long does each of the workout plans last?
The length of Plan A is 1 hour. The duration of Plan B is 1/3 hours
How long does each of the workout plans last?The first step is to formulate a set of linear equations :
2a + 3b = 3 equation 1
5a + 6b = 7 equation 2
Where:
a - duration of Plan A b = duration of Plan BIn order to determine the value of a, take the following steps:
Multiply equation 1 by 2:
4a + 6b = 6 equation 3
Subtract equation 3 from equation 2
a = 1
In order to determine the value of b, substitute for the value of a in equation 3:
4(1) + 6b = 6
4 + 6b = 6
6b = 6 - 4
6b = 2
b = 2/6
b = 1/3 hours
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To decorate a cake, you make a shade of purple icing using 2 drops of red food coloring for every 3 drops of blue.
How many drops of blue food coloring would you need if you use 12 drops of red food coloring?
Answer: 18
Step-by-step explanation:
To get the answer you need to divide 12 by 2 to see what it was multiplied by. (6) Now that you know what the first part of the ratio was multiplied by, you can multiply the other part of it as well.
3 x 6 = 18
You can fact-check it by simplifying the fraction 12/18 which is 2/3.
Answer:
18
Step-by-step explanation:
12 drops of blue would be 6 sets of colouring, meaning you need to do the number of sets multiplied by the drops, giving us 6x3
And 6x3 is 18
20 points !!
Which equation describes the
relationship shown in the table?
Ay=1.2(500)*
Oy=500+100
Oy=500(1.2)"
Oy 100+500x
Answer:
this is a rip off there at no 20 points it only 10
Step-by-step explanation:
Please help
Solve for r
3r - -2 = 20
(The two minus’s wasn’t a mistake it’s minus negative 2)
Answer: r = 6
Step-by-step explanation:
3r - (-2) = 20
The double minus sign makes it a +2 so lets rewrite
3r + 2 = 20
3r = 18
r = 6
Write the next three terms of the following sequence: 160,136,112,88, …
Answer:
64,40,16
Step-by-step explanation:
its just the previous number -24
Answer:
take away 24
64,40,16
Step-by-step explanation:
hope it helps and have a nice day!!! :)
BRAINIEST is appreciated it would really help
pls help it’s urgent will mark brainliest
y = -1/5x + 3 which is a line perpendicular to 5x - 3y = -2 passing through the point (-5, 2).
What is a perpendicular line?The two distinct lines that cross each other at a 90° angle are called perpendicular lines. Have you noticed any similarities between the walls' intersecting corners, such as the letter "L"? They are the parallel lines, which are straight lines that cross each other at the proper angle.
If two lines cross at a 90° angle, we say that they are perpendicular to one another.
We know that perpendicular lines have reciprocal and opposite sign slope, so the slope of 5x - 3y = -2 is 5 and according the y intercept form,
3y = 5x + 2b
And for a perpendicular line the slope will be -1/5
Now using the point-slope form we will find the line perpendicular to Point (-5, 2)
y − y₁ = m(x − x₁)
Put m as -1/5, y₁ as 2 and x₁ as -5, and we will get
y − 2 = -1/5(x − 5)
y - 2 = -1/5x + 1
y = -1/5x + 1 + 2
y = -1/5x + 3
Thus y = -1/5x + 3 which is a line perpendicular to 5x - 3y = -2 passing through the point (-5, 2).
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Addison earned a score of 510 on Exam A that had a mean of 550 and a standarddeviation of 40. She is about to take Exam B that has a mean of 26 and a standarddeviation of 5. How well must Addison score on Exam B in order to do equivalentlywell as she did on Exam A? Assume that scores on each exam are normallydistributed
Exam A:
[tex]\begin{gathered} \text{Score (x)=510} \\ \mu\text{ (mean)=55}0 \\ \sigma\text{ (standard deviation)=40} \end{gathered}[/tex][tex]\begin{gathered} Z\text{ = }\frac{x\text{ -}\mu}{\sigma} \\ Z\text{ = }\frac{510-550}{40}=-1 \end{gathered}[/tex]Z = -1, then...
Exam B:
[tex]\begin{gathered} x\text{ = ?} \\ \mu=26 \\ \sigma=5 \end{gathered}[/tex][tex]x=Z\times\sigma+\mu=-1\times5+26=21.00[/tex]Answer: 21
6 (2c+3d) = 5 (4c-3d) ; d
The value of d = [tex]\frac{8c}{33}[/tex] (in terms of c)
How to find d from the equation?
The given equation is:
6 (2c+3d) = 5 (4c-3d)
⇒ 12c + 18d = 20c - 15 d
Grouping like terms,
⇒ 18 d + 15d = 20c - 12c
⇒ 33 d = 8 c
[tex]d =\frac{8c}{33}[/tex]
What is an equation?
A mathematical statement that has two expressions with equal values separated by the ' = ' symbol is called an equation. The values of the variables that must fulfill the equality to constitute the answer are known as the unknowns.The unknowns' values that fulfill the equality are known as the equation's solutions.To learn more about equations, refer:
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what is 1,234 rounded to the nearest hundred?
plss give me answer this is for tomorow
Answer:
1,200
Step-by-step explanation:
IF Amanda ran 3/8 miles on Wednesday, how much more did she run on monday and Tuesday?
The most appropriate choice for fraction will be given by-
Distance more Amanda ran on Monday and Tuesday than on Wednesday = [tex]3\frac{7}{24}[/tex] miles
What is fraction?
Suppose there is a collection of objects and a part of the collection are taken. Fraction represents that part of the object which are taken. In other words it can be said that fraction represents part of a whole collection of objects.
The upper part of the fraction is called numerator and the lower part of the fraction is called denominator of the fraction
Distance Amanda ran on Monday = [tex]1\frac{1}{6}[/tex] miles = [tex]\frac{7}{6}[/tex] miles
Distance Amanda ran on Tuesday = [tex]2\frac{1}{2}[/tex] miles = [tex]\frac{5}{2}[/tex] miles
Total Distance Amanda ran on Monday and Tuesday = [tex](\frac{7}{6} +\frac{5}{2})[/tex] miles
= [tex](\frac{7+15}{6})[/tex] miles
= [tex]\frac{22}{6}[/tex] miles
= [tex]\frac{11}{3}[/tex] miles
Distance Amanda ran on Wednesday = [tex]\frac{3}{8}[/tex] miles
Distance more Amanda ran on Monday and Tuesday than on Wednesday
= [tex](\frac{11}{3} - \frac{3}{8})[/tex] miles
= [tex](\frac{88 - 9}{24})[/tex] miles
= [tex]\frac{79}{24}[/tex] miles
= [tex]3\frac{7}{24}[/tex] miles
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a survey of 50 young professionals found that they spent an average of $19.31 when dining out, with a standard deviation of $12.11. can you conclude statistically that the population means is greater than $18.00?
We draw the conclusion that the population mean is not higher than $18 and do not reject the null hypothesis.
Define hypothesis.A hypothesis is a statement that makes sense in light of the available information but hasn't been proved true or wrong. A hypothesis in statistics is a claim that will serve as the foundation for hypothesis testing (also known as a statistical hypothesis). In a scientific setting, a hypothesis is a tested claim regarding the relationship between two or more variables or a hypothesized cause of an observed occurrence.
Given,
The formula for our hypothesis is
H₀ u< 18, which states that the population mean cannot be higher than $18.
H₁ u > 18 denotes that the average income of the population is higher than $18.
They spent an average of $19.31 when dining out, with a standard deviation of $12.11.
Using given values,
= 19.31 -18/12.11÷√50
= 0.764
Now,
n - 1 = 49
P(tₙ₋₁ > Test statistics)
P(t₄₉ > 0.764)
Using t distribution table,
= 0.224
We draw the conclusion that the population mean is not higher than $18 and do not reject the null hypothesis.
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At Sunny's Pizza Parlor, 5 out of every 9 pizzas sold are
pepperoni. Out of the next 144 pizzas, how many would
not be pepperoni?
====================================================
Work Shown:
5 out of 9 are pepperoni, so 4 out of 9 are not pepperoni
(4 not pepperoni)/(9 pizzas) = (x not pepperoni)/(144 pizzas)
4/9 = x/144
4*144 = 9x
576 = 9x
9x = 576
x = 576/9
x = 64
------------------
Slightly alternative route:
(5 pepperoni)/(9 pizzas) = (y pepperoni)/(144 pizzas)
5/9 = y/144
5*144 = 9y
720 = 9y
9y = 720
y = 720/9
y = 80
Out of the next 144 pizzas, 80 are expected to be pepperoni. That means there should be 144-80 = 64 pizzas that aren't pepperoni.
∠3 and ∠4 are supplementary. if the measurement of ∠3 is 2x+8 and the measurement of ∠4 is 6x+12, what is the measurement of ∠4?
The measurement of ∠4 is 132° when ∠3 and ∠4 are supplementary angles.
According to the question,
We have the following information:
∠3 and ∠4 are supplementary. if the measurement of ∠3 is 2x+8 and the measurement of ∠4 is 6x+12.
We know that when two angles are supplementary then it means that the sum of the given angles is 180°.
Now, before finding the measurement of ∠4, we will have to find the value of x.
∠3+∠4 = 180°
2x+8+6x+12 = 180°
8x+20 = 180
8x = 180-20
8x = 160
x = 160/8
x = 20°
Now, putting this value of x in ∠4.
∠4 = (6x+12)°
∠4 = (6*20+12)°
∠4 = (120+12)°
∠4 = 132°
Hence, the measurement of ∠4 is 132°.
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