Can someone please help find slope/rate of change a. 1/3 b. 3 c. 30 d. 10

A rectangular field is eight times as long as it is wide. If the perimeter of the field is 900 feet, what are the dimensions of

Bas_tet [7]

Answer:

400 feet long

50 feet wide

Step-by-step explanation:

Length = l

Width = w

2l + 2w = 900

l = 8w

Plug the l from the bottom equation into the top equation

2 x 8w+ 2w = 900

16w = 900

Divide both sides by 16

16w/16 = 900/16

w = 50

The width is 50 feet

Now plug the new w into one of the original equations; we'll use the bottom one

l = 8(50)

l = 400

3 0

3 years ago

What is the distance between Harry’s home and his office?

Svetach [21]

Answer:

The distance between Harry’s home and his office? is 15 miles.

Step-by-step explanation:

The speed, distance time formula is:

$Speed(s)=\frac{Distance(d)}{Time(t)}$

Given:

Speed (s) = 30 miles/hour

Then the relation between distance and time is:

$s=\frac{d}{t} \\30=\frac{d}{t}\\d=30t...(i)$

If Speed was 60 miles/hour the time taken is $(t-\frac{1}{4})$ hours.

Then the relation between distance and time is:

$s=\frac{d}{t} \\60=\frac{d}{(t-\frac{1}{4}) }\\d=60t-15...(ii)$

Use the value of d = 30t in (ii)

$d=60t-15\\30t=60t-15\\30t=15\\t=\frac{1}{2} hour$

Determine the distance as follows:

$d=30t\\=30\times\frac{1}{2} \\=15\ miles$

Thus, the distance between Harry’s home and his office? is 15 miles.

5 0

4 years ago

What is the answer for this problem in the picture

DENIUS [597]

Answer:

The correct answer option is $= 8 x ^ 4 y z ^ 4 \sqrt{2yz}$ .

Step-by-step explanation:

We are given the following expression and we are to simplify it and determine whether which of the given expressions is equivalent to it, assuming $y\geq 0$ and $z\geq 0$ :

$\sqrt { 128 x ^ 8 y ^ 3 z ^ 9 }$

Breaking the terms to get:

$\sqrt { 128 x ^ 8 y ^ 3 z ^ 9 }$ $=8\sqrt{2yz} \times x^{8\times\frac{1}{2} } \times y^{2\times \frac{1}{2} } \times z^{8\times \frac{1}{2} }$

$= 8 x ^ 4 y z ^ 4 \sqrt{2yz}$

4 0

4 years ago

Read 2 more answers

Use the polygon below to find the value of x.

-Dominant- [34]

Answer : 1.6
Explanation : you add all of the x value and constant values and then divide x by the constant value

6 0

3 years ago

How long was each sprinkler used? The water output rate for the Rodriguez family's sprinkler was 15L per hour. The water output

Lelechka [254]

Answer:

Rodriguez family's sprinkler used for 40 hours

Perry family's sprinkler used for 15 hours.

Step-by-step explanation:

Let "x" be the number of hours Rodriguez family's sprinkler used and "y" be the number of hours Perry family's sprinkler used.

Now let's form two equations using the given information.

x + y = 55 ------------(1)

Using the output, we can form another equation.

15x + 20y = 900 -----(2)

Now we have to solve these two equations to find the number of hours each sprinkler used.

We can use substitution method to solve these two equations.

From the equation (1), we can write

x = 55 - y

Now plug in x = 55 - y in the equation (2), we get

15(55 - y) + 20y = 900

Using the distributive property a(b -c) = ab - ac, we get

15(55) - 15y + 20 y = 900

825 - 15y + 20y = 900

Simplifying the above equation, we get

5y = 900 - 825

5y = 75

Dividing both sides by 5, we get

y = 15

Now plug y = 15 in x = 55 - y to find the value of x.

x = 55 - 15

x = 40

So, Rodriguez family's sprinkler used for 40 hours

Perry family's sprinkler used for 15 hours.

3 0

3 years ago

Can someone please helpfind slope/rate of changea. 1/3b. 3c. 30d. 10​

Can someone please helpfind slope/rate of changea. 1/3b. 3c. 30d. 10