MATHEMATICS HIGH SCHOOL

Henrietta buys twelve pounds of bananas and ten pounds of apples for $ 12 . Gustavo buys eight pounds of bananas and five pounds of apples for $ 7 . What is the price per pound of bananas and apples?

Answers

Answer 1

Answer:

Answer:

The price per pound of bananas is $0.5 and the price per pound of apples is $0.6

Step-by-step explanation:

Let

x -----> the price per pound of bananas

y -----> the price per pound of apples

we know that

12x+10y=12 -----> equation A

8x+5y=7 ----> equation B

Solve the system of equations by graphing

Remember that the solution is the intersection point both graphs

The intersection point is (0.5,0.6)

see the attached figure

therefore

The price per pound of bananas is $0.5

The price per pound of apples is $0.6

Related Questions

The sum of all of the solutions for the equation (6x+k)(3x-11)=0 is 1. What is the value of k?
Russian ice breaker yamal can move forward 2.3 meters thick ice at a speed of 5.5 kilometers per hour how long will it take to travel 82.5 kiolometers
In ΔHIJ, the measure of ∠J=90°, the measure of ∠H=35°, and IJ = 72 feet. Find the length of HI to the nearest tenth of a foot.
Sandra is making vegetable soup. If she makes 12 cups of soup, how many cups of onions does she need? Each 3 cups uses 1/8 of onions
Simplify 2x7.5+2x11thanks!

At the newest animated movie, for every 99 9 children, there are 44 4 adults. There are a total of 3939 39 children and adults at the movie. How many children are at the movie?

Answers

Answer:

27 children.

Step-by-step explanation:

We are told that at the newest animated movie, for every 9 children, there are 4 adults. There are a total of 39 children and adults at the movie.

We can see that number of children is proportional to number of adults. So we will use proportions to solve for number of children at the movie.

$\frac{\text{Number of children}}{\text{Number of children + Adults}}=(9)/(4+9)$

$\frac{\text{Number of children}}{\text{Number of children + Adults}}=(9)/(13)$

Let us substitute number of children and adults in our proportion.

$\frac{\text{Number of children}}{39}=(9)/(13)$

Multiply both side of equation by 39.

$39*\frac{\text{Number of children}}{39}=39*(9)/(13)$

$\text{Number of children}=39*(9)/(13)$

$\text{Number of children}=3*9$

$\text{Number of children}=27$

Therefore, 27 children are at the movie.

Points A(-2,-2) and B(6,2) are of end points of line AB, if C(0,5) is also on the same coordiante place, find the are of triangle ABC

Answers

I took the route the question was calling me to but I may be wrong because I may have made tiny assumption

at murky middle school, 372 students ride the bus to school. if this number is 60% of high school enrollment, then how many students are enrolled at the school

Answers

372 divided by 60 give you 1% or 6.2. Take 6.2 times 100 for 100% of the students or 620 total students

X+5-4x+8

PLEASE GIVE THE STEPS AND THE ANSWER

Answers

Answer: -3x+13

Step-by-step explanation: Combine like terms (-4x + x) and (5 + 8)

-4x + x = -3x

5 + 8 = 13

Hope this helps! If it doesn't, I'm sorry!

A long distance telephone company advertised the rates of 5 minutes for 85¢ and 10 minutes for $1.10.Use a linear equation to find the cost of a 25 minute phone call.

Answers

Let x represent the number of minutes and y the cost. Then
y - 0.85 = (1.10 - 0.85)/(10 - 5) (x - 5)
y - 0.85 = 0.25/5 (x - 5) = 1/20 (x - 5) = 1/20 x - 1/4
y = 0.05x - 0.25 + 0.85 = 0.05x + 0.6
y = 0.05x + 0.6

The cost of 25 minutes = 0.05(25) + 0.6 = 1.25 + 0.6 = $1.85

4=(-8)+3x solve for x

Answers

Answer: x=4
4=-8+3x
4+8=+8+3x
12=3x
x=4

4=(-8)+3x -3x=-8-4 -3x=-12 X=-12 divided by -3 X=4

Other Questions

Three consecutive intergers have a sum of 234. What are the three intergers

A triangle is placed in a semicircle with a radius of 9 cmFind the area of the shaded region. Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.

-9y-6+7y=16 What is the answer for this?

Emily earned $45.50 for 6 hours of work. Harrisonearned $24 for 3 hours of work. Carla earned $36for 4 hours of work. Who earned the most moneyPER HOUR?: