The rectangular vegetable garden in 6 feet longer than 2 times its width. If the perimeter is 48 feet, what is the garden's width? Remember, the perimeter of a rectangle is the sum of all its sides.

Answers

Answer 1

Answer: Since there are 4 sides in a rectangle, we'll divide 48 by 4

$(48)/(4)$ = 12

We know that the length is 6 feet longer than 2 times it width.

12 + 6 = 18

The length of one side of a rectangle is 18.

The total length of both sides is 36 because 18 + 18 = 36

48 - 36 = 12

The width of both sides of a rectangles is 12. Now if we divide 12 by 2 we'll get the width of one side of a rectangle..

$(12)/(2)$ = 6

The width of one side of the rectangle is 6.
The length of one side of the rectangle is 18.

Let's check and see if our answer is correct. We need to get a 48 as an answer since that's the perimeter of the rectangle.

2 × ( length + width )
2 × ( 18 + 6 ) = 48

Yay! We got it right!! Hope you understood this :)

Answer 2

Answer:

Final answer:

The width of the garden is 6 feet. We found this by expressing the length in terms of width, substituting into the perimeter equation, simplifying to find the value of width.

Explanation:

In solving this problem, we will follow a few simple steps. First, we know that the perimeter of a rectangle is given by the formula: Perimeter = 2*length + 2*width. We know from the problem that the perimeter is 48 feet and the length of the garden is 6 feet longer than 2 times its width.

Let's denote the width as 'w'. Then, the length would be 2w + 6. Substituting these into the perimeter equation, we have: 48 = 2*(2w+6) + 2*w. Simplifying this equation gives 48 = 4w + 12 + 2w, which further simplifies to 48 = 6w + 12. If we now deduct 12 from both sides, we have: 36 = 6w. Finally, dividing by 6 gives us the width: w = 6 feet.

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a store mixes red fescue worth $12 per pound and chewings fescue worth $16 per pound. The mixture is to sell for $15 per pound. Find out how much of each should be used to make a 552- pound mixture.

Answers

Answer is: 414 pounds of red fescue and 138 pounds of chewings fescue is needed to produce 552 pounds of mixture.

Explanation:
x - how much of red fescue is needed for one pound of mixture
y - how much of chewings fescue is needed for one pound of mixturex*12+ y*16 = 15x + y = 1
so, x=1-y
putting it into first line:(1-y)*12 + y*16 = 15
12 - 12*y + 16*y = 15
4*y = 3
y=3/4
so, x= 1-3/4; x=1/4So to produce 552 pounds of mixture we need..To produce 1 pound of mixture we need: 3/4 pound of red fescue and 1/4 pound of chewing fescue so to produce 552 pounds of miture we need:
552*3/4 - red fescue, which is 414 pounds needed
and
552/4 - chewings fescue, which is 138 pounds needed

Answer:

e+ f = 8 (total solution)

8e + 56f = 20*8 (total saline)

---

e+ f = 8

e + 7f = 20

------------ Subtract

-6f = -12

f = 2

e = 6

Divide 7/24 by 35/48 and reduce the quotient to the lowest fraction

Answers

Given:
1st fraction - 7/24
2nd fraction - 34/48

Rules in dividing fractions:

1) Get the reciprocal of the 2nd fraction.
34/48 becomes 48/34

2) Multiply the 1st fraction to the reciprocal of the 2nd fraction
7/24 * 48/34 = 7*48 / 24*34 = 336/816

3) Simplify the fraction
336/816 ⇒ 112/272 ⇒ 56/136 ⇒ 14/34 ⇒ 7/17

336 ÷ 3 = 112
816 ÷ 3 = 272

112 ÷ 2 =   56
272 ÷ 2 = 136

56 ÷ 4 = 14
136 ÷ 4 =   34

14 ÷ 2 =    7
34 ÷ 2 =   17

7/24 ÷ 35/48 = 7/17

7/24 ÷ 35/48

= 7/24 × 48/35. 7 into 35 is 5. 24 into 48 is 2.

= 2/5

−6, −3, 2, 9, 18, . . . nth term

Answers

Answer:

Your answer would be

X^2-7

Step-by-step explanation:

Hope it helps .

Good luck .

Write the ratio 6 ft to 4yd as a fraction in simplest form.

Answers

First you have to switch yard to feet. 1 yd=3 ft so you have to change 4 to 12. Then you put the 6 over the 12. You simplify it to 1/2 so it'll be one half in simplest form.

A student plays a total of 20 rounds of rock paper scussordbhe wins 75% of them. How many rounds did he win

Answers

Answer:

15 rounds

Step-by-step explanation:

Change 75% into a decimal (0.75).

Multiply 20 by 0.75.

When doing so, you get 15 rounds.

To check this: 15/20 = 3/4 = 0.75

Answer:

if that student is scussordbhe then they won 15 rounds, if they arent they won 5.

Step-by-step explanation:

HELP NEEDED, GIVING BRAINLIEST!Apply the dilation D to the polygon with the given vertices. Name the coordinates of the image points. Identify and describe the transformation.

D: ( x, y ) ---> ( 4x, 4y )

A ( 2, 1 ), B ( 4, 1 ), C ( 4, -3 )

A. This is a dilation about (0, 0) with a scale factor of 0.25; A'(8, 4), B' (16, 4), C' (16, -12).

B. This is a dilation about (0, 0) with a scale factor of 4; A'(8, 4), B' (16, 4), C' (16, -12).

C. This is a dilation about (0, 0) with a scale factor of 0.25; A'(0.5, 0.25), B, (1, 0.25), C' (1, - 0.75).

D. This is a dilation about (0, 0) with a scale factor of 4; A'(0.5, 0.25), B'(1, 0.25), C'(1, -0.75)