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
oksano4ka [1.4K]
3 years ago
13

10) Gabe put up a fence around his rectangular vegetable garden this weekend.

Mathematics
1 answer:
dybincka [34]3 years ago
3 0

Answer:

The length is 16 ft, and the width is 3 ft.

Step-by-step explanation:

Let L = length & let W = width.

The perimeter of a rectangle is

P = 2(L + W)

The area of a rectangle is

A = LW

We know the perimeter and the area, so we substitute those values int he equations above and we switch sides in both equations.

Perimeter: 2(L + W) = 38

Divide both sides by 2:

L + W = 19

Area: LW = 48

We have a system of two equations in two unknowns:

L + W = 19

LW = 48

Solve the first equation for L and substitute it into the second equation.

L = 19 - W

(19 - W)W = 48

19W - W^2 - 48 = 0

Multiply both sides by -1, and rearrange the order of the terms.

W^2 - 19W + 48 = 0

(W - 16)(W - 3) = 0

W - 16 = 0 or W - 3 = 0

W = 16 or W = 3

Use W = 3 to find L

L = 19 - W

L = 19 - 3

L = 16

Answer: The length is 16 ft, and the width is 3 ft.

You might be interested in
Jack is organizing his shots he has 20 pair of socks there are seven pair of black socks eight pair of blue socks and the rest o
katovenus [111]
20 - 7 = 13

8 - 13 = 5

13 + 5 = 18

20 - 18 = 2

So two is your answer because.....

13 + 5 + 2 = 20
8 0
3 years ago
What is the slope of the line graph in this picture?
MrMuchimi

Answer:

-5/4

Step-by-step explanation:

y2 - y1

x2 - x1

________

-2 - 3 = -5

5 - 1 = 4

Slope = -5/4

7 0
3 years ago
It takes Serina 8 hours to drive to Georgia. Her route is 4800 miles. What is Serina’s average speed?
Nookie1986 [14]

Answer:

time

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Which is equivalent toStartRoot 10 EndRoot Superscript three-fourths x ?
DENIUS [597]

Answer:

I THINK its the last one (8 root 10 to the power of 3x)

Step-by-step explanation:

A square root is the same thing as raising something to the 1/2. So the expression we have is (10^1/2)^3/4x.

Due to exponent rules we can multiply to get

10^3/8x which is the same thing as 10^3x/8

The 8 goes to the root and the 3x becomes the exponent

4 0
3 years ago
Lynn is making custom bricks. She combines 39 pounds of water and 48 pounds of brick dust in a mixing bucket. She spills 13 poun
artcher [175]

Answer:

A. 10 bricks

B. 4 pounds

Step-by-step explanation:

Water = 39 pounds

brick dust = 48 pounds

Total mixture = water + brick dust

= 39 + 48

= 87 pounds

She spills 13 pounds of the mixture while stirring

Remaining mixture = Total mixture - Spillage

= 87 pounds - 13 pounds

= 74 pounds

The mixture is then poured into small dirt holes to make bricks. Each brick requires 7 pounds of mixture

Number of bricks made = Remaining mixture / pounds per brick

= 74 pounds / 7 pounds

= 10 bricks remaining 4 pounds of the mixture

A. What is the greatest number of bricks Lynn can make?

10 bricks

B. How many pounds of mixture will be washed out of the bucket if Lynn makes the greatest number of bricks?

4 pounds

6 0
4 years ago
Other questions:
  • The function G(x)=f(x+3)+2 which of the following is true of the graph of g(x)?
    13·1 answer
  • A ball is thrown into the air with an upward velocity of 28 ft/s. Its height (h) in feet after t seconds is given by the functio
    5·1 answer
  • For every left handed person, there are about 4 right-handed people. If there are 30 students in a class, predict the number of
    6·2 answers
  • Which of the following shows the graph of y = –(2)x – 1?
    13·2 answers
  • The length of a rectangle is 15 ft greater than its width. If each dimension is decreased by 2 ft, the area will be decreased by
    14·1 answer
  • By eating 1 egg, 1 cupcake and 1 slice of pizza, a child consumes 303mg of cholesterol. If the child eats 3 cupcakes and 4 slice
    14·1 answer
  • The length of a rectangular pool is 20 feet and the width is 15 feet. The
    11·1 answer
  • Solve the equation by finding the value of x.<br> x-3.4=16.8
    5·2 answers
  • -8.2 +9.1<br> Yes I’m just making sure I got this question right but tell me what the answer is pls!
    12·1 answer
  • From a point on the ground 12 ft. from the base of a flagpole, the angle of elevation of the top of the pole measures 53°. How t
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!