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2 years ago

The length of a rectangular garden is 5 times its width.

Mathematics

1 answer:

Delvig [45]2 years ago

3 0

Answer:

10 m and 50 m

Step-by-step explanation:

<h3>Given</h3>

l = 5w
A = 500 m²

Length and width

<h3>Solution</h3>

Area formula

A = lw
A= 5w*w= 5w²
5w² = 500
w²= 100
w = √100
w = 10 m

Then

l = 5w = 5*10 m = 50 m

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Which expression is equivalent to:

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Answer:

It's 3 (a + 11)

Step-by-step explanation:

I don't know if you said that the 3 was a negative but if you did then don't choose my answer.

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2 years ago

Read 2 more answers

Each person in a group of college students was identified by graduating year and asked when he or she preferred taking classes:

swat32

Answer:

Step-by-step explanation:

The frequency table is attached below.

We have to calculate, the probability that the student preferred morning classes given he or she is a junior.

i.e $P(\text{Morning }|\text{ Junior})$

We know that,

$P(A\ |\ B)=\dfrac{P(A\ \cap\ B)}{P(B)}$

So,

$P(\text{Morning }|\text{ Junior})=\dfrac{P(\text{Morning }\cap \text{ Junior})}{P(\text{Junior})}$

Putting the values from the table,

$\dfrac{P(\text{Morning }\cap \text{ Junior})}{P(\text{Junior})}=\dfrac{\frac{16}{143}}{\frac{26}{143}}=\dfrac{16}{26}=0.615$

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3 years ago

Sarah earns $3.25 an hour stuffing envelopes. Write a rule to describe how the amount of money, m, earned is a function of the n

DENIUS [597]

Answer is 3.25h = m
That’s because Sarah’s earning 3.25 per hour so if you want to figure out how much money she’s making you can just substitute your value for h. Pls mark brainliest if possible, have a nice day

3 0

2 years ago

The volume of a prism is the product of its height and area of its base, V = Bh. A rectangular prism has a volume of 16y4 + 16y3

Zepler [3.9K]

Answer:

We have a prism with a volume of 16y⁴ + 16y³ + 48y² cubic units.

Its volume is equal to the area of its base times its height.

Of course, for those to be the base area and height of this prism, they would have to multiply to 16y⁴ + 16y³ + 48y² cubic units.

Let's test each of these answers to see which gives us the correct volume.

--------------------------------------------------------------------------------------------------

a base area of 4y square units and height of 4y² + 4y + 12 units

We find the volume by multiplying the base area by the height...

4y(4y² + 4y + 12)

Distribute the 4y to each term inside the parentheses.

16y³ + 16y² + 48y

This is not the right volume, so these can not be dimensions of our prism.

--------------------------------------------------------------------------------------------------

a base area of 8y² square units and height of y² + 2y + 4 units

We find the volume by multiplying the base area by the height...

8y²(y² + 2y + 4)

Distribute the 8y² to each term inside the parentheses.

8y⁴ + 16y³ + 32y²

This is not the right volume, so these can not be dimensions of our prism.

--------------------------------------------------------------------------------------------------

a base area of 12y square units and height of 4y² + 4y + 36 units

We find the volume by multiplying the base area by the height...

12y(4y² + 4y + 36)

Distribute the 12y to each term inside the parentheses.

48y³ + 48y² + 432y

This is not the right volume, so these can not be dimensions of our prism.

--------------------------------------------------------------------------------------------------

a base area of 16y² square units and height of y² + y + 3 units

We find the volume by multiplying the base area by the height...

16y²(y² + y + 3)

Distribute the 16y² to each term inside the parentheses.

16y⁴ + 16y³ + 48y²

The volume fits, so these could be the base area and height of our prism.

--------------------------------------------------------------------------------------------------

D. a base area of 16y² square units and height of y² + y + 3 units

--------------------------------------------------------------------------------------------------

Step-by-step explanation:

7 0

3 years ago

HELP WILL GIVE BRAINLIEST

AnnyKZ [126]

<h2>Good evening ,</h2>

<em><u>Answer</u></em>:

q=-10

<em><u>Step-by-step explanation:</u></em>

D:y=-3x+q

let’s find q

A(-4,2)∈D ⇔ 2=-3(-4)+q ⇔ q=-10

then D:y=-3x-10

look at the photo for more details.

______________

5 0

3 years ago