She should use 72 ounces for solution a and 108 ounces foe solution b.
What is an ounce?It is a several different unit of mass, weight or volume. And it is almost unchanged. It is a unit of weight in the avoirdupois system.
The number of ounces of solution a be x and the number of ounces of solution b be y.
x + y = 180, y = 180 - x
60x + 85y = 75(180)
60x + 85y = 135
60x + 85y = 13500
60x + 85(180 - x) = 13500
60x + 15300 - 85x = 13500
-25x = -1800
x = 72ounces
y = 180 - 72
y = 108 ounces
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a cowboy agreed to work for one year for plus a horse. he quit after 7 months and was paid plus a horse. how many dollars was the horse worth, if the paid salary reflects the fair proportion of his yearly salary?
The worth of the horse is 1800 dollars
Given that a cowboy worked for one year for 19,200 plus a horse.
After 7 months, he quit and was paid 10,450 but got to keep the horse.
We need to find the worth of the horse.
Here, the horse is part of the payment in total, so it has to be used as a variable when setting up the proportion.
Let us consider the net worth of the horse to be H
solving for H,
[19,200 + H] / 12 = [10,450 + H] / 7
Now, cross multiply
134,400 + 7H = 125,400 + 12H
134,400 - 125,400 = 12H - 7H
9,000 = 5H
H = 9,000 / 5
H = $1,800
Hence, the net worth of the horse, H is $1,800.
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Whoever Answers First I Will Make Brainiest
12−{1+2[−1(3−8)]2}
Answer:
-39
Step-by-step explanation:
12 - {1+2[-1(3-8)]²}
=12 - {1+2[-1(5)]²} solve the parenthesis first
=12 - {1+2[5]²} multiple the 5 by -1
=12 - {1+2[25]} then square the 5
=12 - {1+50} multiple 25 by 2
=12 - 51 solve the curly bracket
= -39 finally solve it
Question Progress
Towns K and L are shown on a map.
a) Work out the actual distance
between towns K and L.
Homework Progress
18/ 45 Marks
b) A third town, M, is 150 km due
South of town K.
Mark M on the map with
c) Measure the bearing of town L
from town K.
Xx
भ
42%
Scale: 1 cm represents 50 km
Answer:
a) When measuring, use a ruler.
b) Convert to centimeters and then draw the unit on the diagram using a ruler.
c) From K, calculate the angle between K and L.
Details are provided below.
A map displays the towns of K and L.
Calculate the exact distance.
among the towns of K and L.
A third town, M, is 150 kilometers away.
South of the city K.
Mark M with X on the map.
d) Calculate the town L's bearing.
of the town K.
Scale: 1 centimeter equals 50 km
Use a ruler to measure the distance between the towns of K and L in order to determine their real distance from one another.
You'd provide a centimeter-based response (cm).
Given the scale, 1 centimeter equals 50 km, so the answer would be multiplied by 50 km.
So, you'll receive the exact distance in kilometers.
c) This tells us that M is 150 miles overdue.
South of the city K.
Since the first diagram's length is expressed in centimeters, we must determine how many centimeters are equivalent to 150 kilometers.
50km = 1cm
(150 km x 1 cm)/50 km = 150 cm/50
150km = 3cm
The distance between K and M can now be shown on the diagram.
Using a ruler, measure 3 cm away from K in the south (straight line downwards). M would be 3 cm to the south of K when compared to K.
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the graph of y equals negative x - 4 shown below use the grass seeds form in which the ordered pair is a solution of the equation select all correct answers
The solution are
[tex]\begin{gathered} y=-1-4=-5 \\ (1,-5) \end{gathered}[/tex][tex]\begin{gathered} y=4-4=0 \\ (-4,0) \end{gathered}[/tex]The answer is B and D.
Alexa is looking at T-Mobile for getting an Iphone. The promotion states that they will charge her $45 for activation fee and $64 per month. Write a linear equation for the amount T-Mobile will charge Alexa.
The linear equation for the situation mentioned can be written as T=a+mf, where "T" is the total cost of the the iPhone, "a" is then activation fee, "m" is the number of months of membership and "f" is the monthly membership fee. Hence T = 45 + 64m is our required equation.
As per the question statement, Alexa is looking at T-Mobile for getting an iPhone and the promotion states that they will charge her $45 for activation fee and $64 per month. We are supposed write a linear equation for the amount T-Mobile will charge Alexa.
Let the equation depicting the situation be T = a + mf, where
T = Total cost of the the iPhone
a = Activation fee
m= number of months of membership/installments
f = monthly fee amount for iPhone
If a = $45 and m=$64 then the equation becomes, T = 45 + 64m
So, if she pays for 10 months straight, m = 10, total price T will be:
T = 45 + 64(10) = 45 + 640 = $685.00.
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In 2014, Country x had 783 miles of paved roads. Starting in 2015, the country has been building 8 miles of new paved roads each year. After 2 years, how many miles of road will there be?
Work out the area of this triangle. 11 cm 4 cm 6 cm
Answer: 22, 12 or 33
Step-by-step explanation:
11cm is the base and 4 is the height your answer is 22 if 6cm is the base and 4 is the height your answer is 12 and if 6 is your height and 11 is your base your answer is 33
Define the domain of the followingA) {-3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8}B) {3, -1, 2, 0, -2}C) {-3, -1, 1, 3, 6}D All real Numbers
The domain is a set tht contains all possible x-values in a relataion or a function. In this problem, we just need to know what the x-coordinates are to be able to identify the domain.
Let us first list down the coordinates of the given points. We have:
The x-coordinates are: -3, -1, 1, 3, and 6.
So the domain is: {-3, -1, 1, 3, 6}. The answer is option C.
please tell me what is 9 divided by 7
3
Answer: 3.86
Step-by-step explanation:
Here we will show you how to calculate 9 divided by 7/3. We will give you the answer in fraction form and decimal form.
Here is 9 divided by 7/3 displayed mathematically:
9
÷
7
3
The numbers in 9 divided by 7/3 are labelled below:
9 = whole number
7 = numerator
3 = denominator
To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:
9 x 3
7
=
27
÷
7
Thus, the answer to 9 divided by 7/3 in fraction form is:
27
÷
7
To make the answer to 9 divided by 7/3 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
27 / 7 = 3.86
The answer is rounded to the nearest two decimal points if necessary.
27/7 is an improper fraction and should be written as 3 6/7.
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9 divided by 7/3 is equal to 27/7 or 3 6/7.
To divide 9 by 7/3, we can rewrite the division as a multiplication by the reciprocal of the divisor.
The reciprocal of 7/3 is obtained by flipping the fraction, which means interchanging the numerator and denominator.
Therefore, the reciprocal of 7/3 is 3/7.
So, we can rewrite the division as:
9 ÷ (7/3) = 9 × (3/7)
To multiply fractions, we simply multiply the numerators together and the denominators together.
So, multiplying 9 and 3 gives us 27, and multiplying 7 and 1 gives us 7.
Therefore:
9 ÷ (7/3) = 27/7
The result, 27/7, is an improper fraction. It means we have 27 parts divided into 7 equal parts.
However, if you prefer, we can also express the result as a mixed number, which consists of a whole number and a proper fraction.
To convert 27/7 into a mixed number, we divide the numerator (27) by the denominator (7).
The quotient is the whole number part, and the remainder becomes the numerator of the proper fraction.
27 ÷ 7 = 3 remainder 6
So, the mixed number representation of 27/7 is:
27/7 = 3 6/7
Therefore, 9 divided by 7/3 is equal to 27/7 or 3 6/7.
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With children, there is an apparent strong correlation between low family income and poor performance in school. How did susan mayer’s research undermine the hypothesis that low income causes poor school performance?.
Greater access to school boards and greater time for homeschooling would be advantageous for higher-income families.
These two elements will aid in educating the kids and directing them toward academic excellence, which will ultimately benefit those kids in the long run.
Susan has a destitute family to support in addition to her plans to attend college.
She tells her parents she would live with them and support them financially, but in truth, she plans to attend college and pursue her education while leaving her family behind.
She is battling an internal conflict where she prioritizes her needs over those of her family.
The biggest issue today is one of health. The absence of illness does not imply good health. Illness is caused by a variety of circumstances, including a person's psychological, social, and physical health.
Poverty is correlated with low income, illiteracy, gender inequality, and environmental degradation. Poverty can also result from poor health. Wealthier individuals spend more on their health.
Additionally, the government invests in public health-related projects.
Therefore,
Greater access to school boards and greater time for homeschooling would be advantageous for higher-income families.
These two elements will aid in educating the kids and directing them toward academic excellence, which will ultimately benefit those kids in the long run.
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Volume of a conical heap of salt that is 3.5 meters in diameters high
No height value is given, thus the volume cannot be found. The equation is:
1/3πr²h, r = d/2
1/3π(d/2)²h
1/3(3.14)(3.5/2)²h
1/3(3.14)(1.75)²h
1/3(3.14)(3.0625)h
1.053(3.0625)h
3.22h
The volume of the cone is approximately 3.22h.
last week the springville nursery sales at the farmers market were 2,375.24. The expenses were $1,593.08 for the items sold how much profit did they make ?
please help asap tysm
find the area of a circle
Answer: 3.14 * 3^2 = 28.26
Answer:28.26
Step-by-step explanation:
(-1,4) -3
in slope intercept form and how to do it
The equation of line that passes through the point (-1,4) and slope = -3 , in slope intercept form is y = (-3)x + 1 .
The Slope Intercept Form of the line is represented by
y=mx+c
where , m is the slope
and
c is the y-intercept
In the question ,
it is given that
the slope of the line is = -3 .
So, the equation of line becomes
y = (-3)x+c ...(i)
As this line passes through (-1,4) , it will satisfy the equation of line
Substituting the values x as -1 , y as 4 , in equation(i) ,
we get
4 = (-1)(-3) + c
4 = 3 + c
c = 4-3
c = 1
So, the y intercept(c) is 1 .
Hence the equation of line becomes y = (-3)x + 1 .
Therefore , the equation of line that passes through the point (-1,4) and slope = -3 , in slope intercept form is y = (-3)x + 1 .
The given question is incomplete , the complete question is
write the equation of line in slope intercept form that passes through the point (-1,4) and has slope as -3 .
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Rewrite as a simplified fraction 3.16
Answer: 3 4/25
Step-by-step explanation:
250+15x=750-10x
Can someone solve this for me please
Answer:
x = 20
Step-by-step explanation:
250 + 15x = 750 - 10x ( add 10x to both sides )
250 + 25x = 750 ( subtract 250 from both sides )
25x = 500 ( divide both sides by 25 )
x = 20
Answer: x=20
Step-by-step explanation:
1 you Rearrange terms 250+15x=750-10x, 15x+250=-10x+750
2 you Rearrange terms 15x+250=750-10x, 15x+250=10x+750
3 subtracts 350 from both sides 15x+250=-10x+750, 15x+250-250=-10x+750-250
Find the value of f(-8)
Answer:
f(-8) = 2
Step-by-step explanation:
y = f(x)
Here, x co-ordinate is an input value, and the y co-ordinate of each point is the corresponding output value.
x = -8. The corresponding y value of -8 is 2
f(-8) = 2
Daniel earned $18 at his job when he worked for 2 hours. Fill out a table of equivalent ratios and plot the points on the coordinate axes provided.
H E
2 18
4 36
6 54
8 72
10 90
H = Hours
E = Earned
These are all equivalent.
If you want to do this on your own, write out the multiplication then remove odd ones, that's exactly what I did.
which equation has no solution?
13y + 2 - 2y = 10y + 3 - y
9(3y + 7) - 2 = 3(-9y + 9)
32.1y + 3.1 + 2.4y - 8.2 = 34.5y - 5.1
5(2.2y + 3.4) = 5(y - 2) + 6y
PLEASE HELP ASAP!! THANKS IN ADVANCE! :)
Simplify.
Answer:
[tex]\frac{(x+3)(x-1)}{x}[/tex]
Step-by-step explanation:
So the first thing you want to do is factor out the polynomials.
[tex]x^2+4x+3 ; (x+3)(x+1)[/tex]
[tex]x^2+x; x(x+1)[/tex]
[tex]2x^2-3x+1; (2x-1)(x-1)[/tex]
Once you have factored these out, you can write out the division using keep-change-flip;
[tex]\frac{(x+3)(x+1)}{2x-1}*\frac{(2x-1)(x-1}{x(x+1)}[/tex]
Before trying to multiply all of the factors, rule out factors that appear both in the numerator and the denominator;
[tex]\frac{(x+3)}{1}*\frac{(x-1)}{x}[/tex]
Now you can multiply the fractions and receive [tex]\frac{(x+3)(x-1)}{x}[/tex]
Which statement describes when the plans are based on the same number of aerobic exercise sessions?
Each plan utilizes a combination of 2 strength-training sessions and 2 aerobic exercise sessions per week.
Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week.
Each plan utilizes a combination of 3 strength-training sessions and 2 aerobic exercise sessions per week.
Each plan utilizes a combination of 3 strength-training sessions and 3 aerobic exercise sessions per week.
From the statements that are provided in the question, the statement that best describes when the plans is Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week.
What is word problem?A word problem are sentences describing a real-life scenario where a problem needs to be solved by mathematical calculation.
Ideally, for the best health benefits, such as increasing strength and aerobic and reduction in heart diseases, it is suggested to do a combination of strength training and aerobic training for at least five times a week.
Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week. is the correct statement
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In a blueprint of a building, a conference room is 6 inches long and 4 inches wide. The scale factor is 2 inches: 7 feet.
What are the dimensions of the conference room? Enter the answer in each box.
The conference room is
feet long and
feet wide.
The conference room is 21 feet long and 14 feet wide.
Given that, in a blueprint of a building, a conference room is 6 inches long and 4 inches wide.
What is the scale factor?Scale factor is a number by which the size of any geometrical figure or shape can be changed with respect to its original size. It is used to draw the enlarged or reduced shape of any given figure and to find the missing length, area, or volume of an enlarged or reduced figure.
Here, the scale factor is 2 inches : 7 feet.
Now, length = 6 inches
= 2 inches + 2 inches + 2 inches
= 7 feet + 7 feet + 7 feet
= 21 feet
Width = 4 inches
= 2 inches + 2 inches
= 7 feet + 7 feet
= 14 feet
Therefore, the conference room is 21 feet long and 14 feet wide.
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A recipe for sparkling lemonade calls for 1/2 tablespoon of lemonade mix and 3/4
A recipe for sparkling lemonade calls for 1/2 tablespoon of lemonade mix and 3/4 cup of sparkling water. Find how many tablespoons of lemonade mix it takes per cup of sparkling water. pls, help me :(
The tablespoons of lemonade mix that it takes per cup of sparkling water is 0.67 tablespoon.
How to calculate the value?From the information, a recipe for sparkling lemonade calls for 1/2 tablespoon of lemonade mix and 3/4 cup of sparkling water.
Let the number of tablespoon be represented as x.
Based on the information given, the expression will be:
1/2 / 3/4 = x/1
0.5 / 0.75 = x/1
Cross multiply
0.75 × x = 0.5
0.75x = 0.5
Divide
x = 0.5 / 0.75
x = 0.67
0.67 tablespoon is needed.
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last one im asking i swear
Find the perimeter.
15 24/14
14
10/
12²/
12/3/1
10/1/
35 -/-/
Perimeter = 119
Simplify your answer completely.
?
[tex]\displaystyle\\Answer:\ 119\ \boxed{\frac{4}{7} }[/tex]
Step-by-step explanation:
[tex]\displaystyle\\P=10\frac{1}{7}+12\frac{2}{7}+15\frac{3}{14} +24\frac{1}{14} +12\frac{2}{7} +10\frac{1}{7}+35\frac{3}{7} \\\\P=(10\frac{1}{7}+12\frac{2}{7}+12\frac{2}{7} +10\frac{1}{7}+35\frac{3}{7})+(15\frac{3}{14} +24\frac{1}{14}) \\\\P=(\frac{71}{7} +\frac{86}{7} +\frac{86}{7}+\frac{71}{7} +\frac{248}{7} )+(\frac{213}{14}+\frac{337}{14})\\\\[/tex]
[tex]\displaystyle\\ P=\frac{71+86+86+71+248}{7} +\frac{213+337}{14} \\\\P=\frac{562}{7} +\frac{550}{14} \\\\P=\frac{562}{7}+\frac{2(275)}{2(7)} \\\\P=\frac{562}{7} +\frac{275}{7}\\\\P=\frac{562+275}{7} \\\\P=\frac{837}{7}\\\\P=119\frac{4}{7}[/tex]
let's firstly convert the mixed fractions to improper fractions and then add them up.
[tex]\stackrel{mixed}{10\frac{1}{7}}\implies \cfrac{10\cdot 7+1}{7}\implies \stackrel{improper}{\cfrac{71}{7}} ~\hfill \stackrel{mixed}{12\frac{2}{7}}\implies \cfrac{12\cdot 7+2}{7}\implies \stackrel{improper}{\cfrac{86}{7}} \\\\\\ \stackrel{mixed}{15\frac{3}{14}}\implies \cfrac{15\cdot 14+3}{14}\implies \stackrel{improper}{\cfrac{213}{14}} ~\hfill \stackrel{mixed}{24\frac{1}{14}}\implies \cfrac{24\cdot 14+1}{14}\implies \stackrel{improper}{\cfrac{337}{14}}[/tex]
[tex]\stackrel{mixed}{35\frac{3}{7}}\implies \cfrac{35\cdot 7+3}{7}\implies \stackrel{improper}{\cfrac{248}{7}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{71}{7}+\cfrac{71}{7}+\cfrac{86}{7}+\cfrac{86}{7}+\cfrac{213}{14}+\cfrac{337}{14}+\cfrac{248}{7}\hspace{5em}\textit{so we have an LCD of 14} \\\\\\ \cfrac{(2)71+(2)71+2(86)+2(86)+(1)213+(1)337+2(248)}{14} \\\\\\ \cfrac{1674}{14}\implies \cfrac{837}{7}\implies 119\frac{4}{7}[/tex]
Your test scores are 85 and 89 what possible scores can you earn on your next test to average between 87 and 91 inclusive?
Answer:
85,100
Step-by-step explanation:
85 <= (81 + 89 + x) / 3 <=90
255 <= 81 + 89 + x <=270
255 <= 81 + 89 + x <=270
174 <= 89 + x <= 189
85 <= x <= 100
x = 85, 100
An inspector examines items coming from an assembly line. A review of her record reveals that she accepts only 8% of all defective items. It was also found that 1% of all items from the assembly line are both defective and accepted by the inspector. What is the probability that a randomly chosen item from this assembly line is defective? write your answer in decimals, not percentage. Do not round your answer.
The probability that a randomly chosen item from this assembly line is defective is 0.125.
How to calculate the probability?Probability simply means the likelihood of the occurence of an event.
From the information, the review of her record reveals that she accepts only 8% of all defective items and it was also found that 1% of all items from the assembly line are both defective and accepted by the inspector.
Therefore, the probability will be:
= Percentage of detectives / Percentage of defective accepted
= 1% / 8%
= 0.01 / 0.08
= 0.125
The probability is 0.125.
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a drawing of a surboard in a catalog shows it's length as 8 1/2 inches. find the actual length of surfboard if 1/2 inch length on the drawing correspond to 3/8 foot of actual length.
The actual length of surfboard based on the information is 6 3/8 feet.
How to calculate the length?From the information illustrated, the drawing of a surboard in a catalog shows it's length as 8 1/2 inches.
The actual length of surfboard if 1/2 inch length on the drawing correspond to 3/8 foot of actual length will be illustrated thus:
Let the actual length be x.
1/2 / 3/8 = 8 1/2 / x
0.5 / 0.375 = 8.5 / x
Cross multiply
0.375 × 8.5 = 0.5x
x = (0.375 × 8.5) / 0.5
x = 6.375 = 6 3/8 feet
The length is 6 3/8 feet.
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Dawn bought 10 apples and 6 mangoes for $58.00. Each mango was $1.00 cheaper than an apple. Sita bought 4 apples and 4 mangoes from the same vendor. How much did Sita pay for the apples and mangoes if the prices were unchanged?
write an inequality to represent the following problem:
6 less than a number greater than four
The inequality that represents the problem "6 less than a number greater than four" is x - 6 > 4.
An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.
Consider the statement,
6 less than a number greater than four.
Let x be the number.
The symbol " > " can be represented as a number greater than another.
Then 6 less than a number greater than 4 can be represented as:
x - 6 > 4
The inequality x - 6 > 4 can be represented for the problem " 6 less than a number greater than four".
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