It takes karina 36 minutes to solve 22 problems. What is her unit rate in problems per minute

Jim is enclosing a rectangular garden with 170 feet of fencing. The length of the garden is 10 feet more than twice it’s width,

Darina [25.2K]

Answer:

$1,500\ ft^2$

Step-by-step explanation:

Let

L ----> the length of the rectangular garden in feet

w ---> the width of the rectangular garden in feet

step 1

Find the width

we know that

The perimeter of the rectangular garden is

$P=2(L+W)$

$P=170\ ft$

so

$170=2(L+W)$

Simplify

$85=(L+W)$ ----> equation A

$L=2W+10$ ----> equation B

substitute equation B in equation A and solve for W

$85=(2W+10+W)$

$85-10=3W$

$3W=75$

$W=25\ ft$

Find the value of L

$L=2(25)+10=60\ ft$

step 2

Find the area

we know that

The area of the rectangular garden is

$A=(LW)$

substitute the values

$A=(60)(25)=1,500\ ft^2$

6 0

3 years ago

What times what equals 4

ElenaW [278]

A number times 1 always equals itself, so: 4×1 = 4, OR 2×2 = 4

3 0

3 years ago

Read 2 more answers

A mural of Elvis Presley takes 56 days to complete by seven painters 28 volunteers join the team after the first six days how ma

denpristay [2]

Answer:

10 days

Step-by-step explanation:

We are given that

Each person takes 56 days

7 painters take time= $56\times 7=392$ painter days

In first 6 days , 7 painters take time= $7\times 6=42$ painter days

After 6 days , 28 volunteers are added then,

Total persons=28+7=35

Now, remaining days=392-42=350

Therefore, number of days are required before the painting of the king of rock 'n' roll is completed= $\frac{350}{35}=10$ days

Hence,10 more days are required before the painting of the king of rock 'n' roll is completed

6 0

3 years ago

A particular fruit's weights are normally distributed, with a mean of 406 grams and a standard deviation of 27 grams.The heavies

Tom [10]

Given

mean of 406 grams and a standard deviation of 27 grams.

Find

The heaviest 14% of fruits weigh more than how many grams?

Explanation

given

mean = 406 gms

standard deviation = 27 gms

using standard normal table ,

$\begin{gathered} P(Z>z)=14\% \\ 1-P(Zso , [tex]\begin{gathered} x=z\times\sigma+\mu \\ x=1.08\times27+406 \\ x=435.16 \end{gathered}$

Final Answer

Therefore , The heaviest 14% of fruits weigh more than 435.16 gms

8 0

1 year ago

Duane is making cookies. The recipe calls for two times as many cups of sugar as butter, two times as many cups of oats as sugar

Ronch [10]

Answer:

Step-by-step explanation:

Let b represent the number of cups of butter needed.

Let s represent the number of cups of sugar needed.

Let o represent the number of cups of oat needed.

Let f represent the number of cups of flour needed.

The recipe calls for two times as many cups of sugar as butter. It means that

s = 2b

Two times as many cups of oats as sugar. It means that

o = 2s

Two times as many cups of flour as oats. It means that

f = 2o

If Duane puts in one cup of butter, it means that b = 1

Therefore,

s = 2 × 1 = 2 cups

o = 2s = 2 × 2 = 4 cups

f = 2o = 2 × 4 = 8 cups

Therefore, he needs to add 8 cups of flour

7 0

3 years ago