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3 years ago

Robin earned $4,581 in 9 weeks. How much does he earn per week? $ per week

Mathematics

2 answers:

Bess [88]3 years ago

8 0

Answer: $509

Step-by-step explanation:

Given: The amount earned by Robin in 9 weeks = $4,581

To find the amount he earn per week, we need to divide the amount earned in 9 weeks i.e. $4,581 by 9 , we get

The amount earned by him in each week = $\frac{4581}{9}$

⇒The amount earned by him in each week = $509

Hence, Robin earn $509 per week.

NikAS [45]3 years ago

3 0

Answer: $509 per week

Explanation:

in order to find how much Robin earned per week, we just need to divide the total amount earned by the number of weeks:

$earn/week = \frac{total}{Nweeks}$

In this case, we have

total amount = $4,581

Nweeks = 9

So, the earn per week is

$earn/week = \frac{4,581}{9}=509$

So, Robin earned $509 per week.

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A triangle has a base of x 1/2 m and a height of x 3/4 m. If the area of te triangle is 16m to the power of 2, what are the base

Olenka [21]

Answer:

The base of triangle is $\frac{8}{\sqrt{3}} \ m$ and the height of triangle is $\frac{12}{\sqrt{3}} \ m.$

Step-by-step explanation:

Given:

A triangle has a base of x 1/2 m and a height of x 3/4 m. If the area of the triangle is 16m to the power of 2.

Now, to find the base and height of the triangle.

The base of triangle = $x\times\frac{1}{2} =\frac{x}{2} \ m.$

The height of triangle = $x\times \frac{3}{4} =\frac{3x}{4}\ m.$

The area of triangle = $16\ m^2.$

Now, we put the formula of area to solve:

$Area=\frac{1}{2} \times base\times height$

$16=\frac{1}{2} \times \frac{x}{2} \times \frac{3x}{4}$

$16=\frac{3x^2}{16}$

Multiplying both sides by 16 we get:

$256=3x^2$

Dividing both sides by 3 we get:

$\frac{256}{3} =x^2$

Using square root on both sides we get:

$\frac{16}{\sqrt{3}}=x$

$x=\frac{16}{\sqrt{3}}$

Now, by substituting the value of $x$ to get the base and height:

$Base=\frac{x}{2}\\\\Base=\frac{\frac{16}{\sqrt{3}}}{2} \\\\Base=\frac{8}{\sqrt{3}} \ m.$

So, the base of triangle = $\frac{8}{\sqrt{3}} \ m.$

$Height=x\times\frac{3}{4} \\\\Height=\frac{16}{\sqrt{3}}\times \frac{3}{4} \\\\Height=\frac{12}{\sqrt{3}} \ m.$

Thus, the height of triangle = $\frac{12}{\sqrt{3}} \ m.$

Therefore, the base of triangle is $\frac{8}{\sqrt{3}} \ m$ and the height of triangle is $\frac{12}{\sqrt{3}} \ m.$

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4 years ago

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zubka84 [21]

Answer:

x=35/4

Step-by-step explanation:

S1- Divide both sides of the equation by the same term

-2100=-240x

-2100/-240=-240x/-240

S2- Simplify

DIvide #

Cancel terms

Move the variable to the left

x=35/4

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2 years ago

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Ik this is the easiest question but who wanna do it for me?:(

sladkih [1.3K]

Answer:

Step-by-step explanation:

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3 years ago

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You have two circular flower beds, as shown. The sum of the areas of two flower beds is 136 pi square feet. Find the radius of e

finlep [7]

Answer:

Radius of larger flower bed = 10 feet

Radius of smaller flower bed = 6 feet

Step-by-step explanation:

Complete question:

"You have two circular flower beds, as shown. The sum of the areas of two flower beds is 136 pi square feet. Find the radius of each bed."

Radius of larger flower bed = r

Radius of smaller flower bed = r - 4

Now,

Area of circle is $\pi r^2$

Since, total area is $136\pi$ , we can write:

$\pi r^2 + \pi (r-4)^2=136\pi$

Expanding and solving for r:

$\pi r^2 + \pi (r-4)^2=136\pi\\r^2+(r-4)^2=136\\r^2 + r^2 - 8r + 16 = 136\\2r^2-8r-120=0\\2(r+6)(r-10)=0\\r=-6,10$

Radius cannot be negative, so r = 10 & r-4 = 10 -4 = 6

Radius of larger flower bed = 10 feet

Radius of smaller flower bed = 6 feet

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3 years ago

How high is a tree that cast a 26ft shadow at the same time a6ft post casts a shadow which is 11ft long

Norma-Jean [14]

Set up a ratio:

6/11 = x/26

Cross multiply:

11x = 156

Divide both sides by 11:

X = 14.18 feet ( round answer as needed.)

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3 years ago