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3 years ago

Flower bed has the shape of a rectangle 24 ft long and 9 ft wide what is the area in square yards

Mathematics

2 answers:

natali 33 [55]3 years ago

6 0

The answer is 24 square yards
24ft=8yd
9ft=3yd
So 8*3=24 square yard

Hope this helps

dangina [55]3 years ago

3 0

The area would be, well i think it would be, 24 x 9 = 216 square ft but converted to yards it is, 72 yards

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Stephon has a square brick patio. He wants to reduce the width by 4 feet and increase the length by 4 feet.

alekssr [168]

Answer: The expressions for the length and width of the new patio are

$\ell=x+4,~~w=x-4.$

And the area of the new patio is 384 sq. feet.

Step-by-step explanation: Given that Stephen has a square brick patio. He wants to reduce the width by 4 feet and increase the length by 4 feet.

The length of one side of the square patio is represented by x.

We are to write the expressions for the length and width of the new patio and then to find the area of the new patio if the original patio measures 20 feet by 20 feet.

Since Stephen wants to reduce width of the patio by 4 feet, so the width of the new patio will be

$w=(x-4)~\textup{feet}.$

The length of the patio is increased by 4 feet, so the length of the new patio will be

$\ell=(x+4)~\textup{feet}.$

Now, if the original patio measures 20 feet by 20 feet, then we must have

$w=x-4=20-4=16~\textup{feet}$

and

$\ell=x+4=20+4=24~\textup{feet}.$

Therefore, the area of the new patio is given by

$A_n=\ell \times w=24\times16=384~\textup{sq. feet}.$

Thus, the expressions for the length and width of the new patio are

$\ell=x+4,~~w=x-4.$

And the area of the new patio is 384 sq. feet.

4 0

4 years ago

There are 8 students on the minibus.five of the students are boys.what fraction of the students are boys

PolarNik [594]

5/8 of the students are boys

5 representing boys
8 representing all students

4 0

3 years ago

What are 3 consecutive integers whose product is -120

iren2701 [21]

Consecutive integers are 1 apart
x,x+1,x+2
(x)(x+1)(x+2)=-120
x^3+3x^2+3x=-120
add 120 to both sides
x^3+3x^2+3x+120=0
factor
(x+6)(x^2-3x+20)=0
set each to zero

x+6=0
x=-6

x^2-3x+20=0
will yeild non-real result, discard
x=-6
x+1=-5
x+2=-4
the numbers are -4,-5,-6

use trial and error and logic
factor 120
120=2*2*2*3*5
how can we rearange these numbers in (x)(y)(z) format such that they multiply to 120?
obviously, the 5 has to stay since 2*5=10 which is out of range
so 2*2*2*3 has to arrange to get 3,4 or 4, 6 or 6,7
obviously, 7 cannot happen since it is prime
3 and 4 results in in 12, but 2*2*2*3=24
therfor answer is 4 and 6
they are all negative since negaive cancel except 1

the numbers are -4,-5,-6

5 0

3 years ago

Solve 3x^2 = 6x– 3 by graphing.

denpristay [2]

Answer:

x= square root of 2x-1

Step-by-step explanation:

First you move the 3 to the right side of the equation and since it was multiplied; you have to divide it making it 2x-1.

Then, you have to square it so you can get x by itself and since 2x and -1 do not have a square root you just leave it.

7 0

4 years ago

Mrs. Cho is bringing cans and bottles to a recycling center. For a type A can, she gets 5 cents. For type B can, she gets 10 cen

Grace [21]

Answer:

One possible solution be -

Mrs. Cho is brings type A cans = 10

Mrs. Cho is brings type B cans = 3

Step-by-step explanation:

Let us assume

Mrs. Cho is brings type A cans = x

Mrs. Cho is brings type B cans = y

As given,

For a type A can, she gets 5 cents and For type B can, she gets 10 cents

As we have x Type A cans and y Type B cans

And she has redeemed no more than 95 cents

⇒5x + 10y ≤ 95 .......(1)

Also given,

She has redeemed at least 11 cans

⇒ x + y ≥ 11 ........(2)

∴ we get

x + y ≥ 11

5x + 10y ≤ 95

By applying graphical method , we get

The equations become

5x + 10y = 95 .......(1)

x + y = 11 ........(2)

Table for equation (1) -

x y

0 9.5

19 0

Table for equation (2) -

x y

0 11

11 0

The two lines intersect at point (3, 8)

So the possible combinations are in the shaded portion which is covered by both the lines.

One possible combination is ( 10, 3) which lies in the shaded region.

So,

Mrs. Cho is brings type A cans = x = 10

Mrs. Cho is brings type B cans = y = 3

5 0

3 years ago