1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alborosie
3 years ago
7

Three pumpkins and two squash weigh 27.5 pounds. Four pumpkins and three squash weigh 37.5 pounds. Each pumpkin weighs the same

as the other pumpkins, and each squash weighs the same as the other squash. How much does each pumpkin weigh? How much does each squash weigh?
Mathematics
1 answer:
Luda [366]3 years ago
8 0

Answer:

Each pumpkin weighs 7.5 pounds.

Each squash weighs 2.5 pounds.

Step-by-step explanation:

Let x represent weight of each pumpkin and y represent weight of each squash.

We have been given three pumpkins and two squash weigh 27.5 pounds. We can represent this information in an equation as:

3x+2y=27.5...(1)

We are also told that four pumpkins and three squash weigh 37.5 pounds. We can represent this information in an equation as:

4x+3y=37.5...(2)

From equation (1), we will get:

y=\frac{27.5-3x}{2}

Substitute this value in equation (2):

4x+3(\frac{27.5-3x}{2})=37.5

4x+1.5(27.5-3x)=37.5

4x+41.25-4.5x=37.5

41.25-0.5x=37.5

41.25-41.25-0.5x=37.5-41.25

-0.5x=-3.75

\frac{-0.5x}{-0.5}=\frac{-3.75}{-0.5}

x=7.5

Therefore, the weight of each pumpkin is 7.5 pounds.

Substitute x=7.5 in equation (1):

3(7.5)+2y=27.5

22.5+2y=27.5

22.5-22.5+2y=27.5-22.5

2y=5

\frac{2y}{2}=\frac{5}{2}

y=2.5

Therefore, the weight of each squash is 2.5 pounds.

You might be interested in
John plans to practice piano at least 2 1 2 212 hours this weekend. If he practices 1 1 6 116 hours on Saturday and 1 1 4 114 ho
Irina18 [472]
Kigyunbrjnhbbhncbnuybnmk
7 0
3 years ago
The answer please for my online class
Eddi Din [679]

Answer:

B. -500

Step-by-step explanation:

\dfrac{(2a^4)^2}{a^0a^5} =

= \dfrac{2^2a^8}{a^5}

= 4a^3

= 4(-5)^3

= 4(-125)

= -500

3 0
3 years ago
A charity is holding a raffle to raise money. There is one car worth $30,000 and five $100 gift cards being raffled off. Each ti
Dennis_Churaev [7]
There is a total of $35,000 worth of prizes being given out for 5,000 tickets.  We can find the expected value for each ticket by dividing 35,000/5,000.  This equals $7.00.
4 0
3 years ago
Read 2 more answers
Solve independent system equations for: <br><br>5x-9y=-65<br>10x-3y=20<br>x=?<br>y=?<br>​
Sergio039 [100]
5x-9y=-65
10x-3y=20

Multiple the first equation by 2
10x-18y=-130
10x -3y=20
Then subtract the two equations to get rid of the x

21y=-150
Divide the -150 by 21
Y=-7.14

Plug the y into the original equation. (Either one)

5x-9(-7.14)=-65
5x-64.28=-65
Then add 64.28 to the -65
5x=-0.72
Divide by 5
X=-0.144

I hope this is right
3 0
3 years ago
Given the same triangle from part C, if line segment AB measures 12 inches and line segment BC measures 5 inches what is the mea
exis [7]

Answer:

4.615 in

Step-by-step explanation:

Triangle ABC and ABD are similar because they have two corresponding congruent triangles that is right angle and ∠A. Triangle ABC and BCD are similar because they have two corresponding congruent triangles that is right angle and ∠C. Therefore Triangle ABC, ABD and BCD are similar. Since they are similar, then their sides are proportional in length.

In triangle ABC, using Pythagoras theorem:

AC² = AB² + BC²

AC² = 12² + 5²

AC² = 144 + 25 = 169

AC² = 169

AC = √169 = 13 in

Using similar triangle for ΔABC and ΔABD:

\frac{AC}{AB}= \frac{BC}{BD} \\\\\frac{13}{12}=\frac{5}{BD}\\\\BD=\frac{12*5}{13}\\ BD=4.615\ in

5 0
3 years ago
Other questions:
  • Select the expression that represents the following statement, half the product of 5 and 4 multiply by 3.
    11·1 answer
  • After a deposit of $250, a withdrawal of $312, and a
    5·1 answer
  • Find the gcf for the list. 28y4, 20y3
    12·1 answer
  • 98-x2=0 solve this with the quadratic formula
    14·1 answer
  • The diference between<br>12•6 and a number<br>is 5•4. find two possible values for thenumber​
    15·1 answer
  • How do you use the digits in a hundredths decimal to write a percent?
    7·1 answer
  • PLEASE ANSWER ASAP 20 pts
    14·1 answer
  • Given that O is the center of the circle, find the measure of angle c.
    11·1 answer
  • Inverse variation equation that relates x and y.
    8·1 answer
  • What is 11/2 + 4/9 simplified
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!