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2 years ago

Annie buys a picnic table priced at $407. If the sales tax is 6%, what will be the total cost including tax?

Mathematics

1 answer:

Oksi-84 [34.3K]2 years ago

3 0

Answer:

-$407

-tax:6%

407 times 6 divided by 100

413/100

4.13

407 plus 4.13

$411.13

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The 60-foot rope was cut into two pieces. One of the pieces was 10 feet longer than 4 times the length of the other piece. How l

koban [17]

Answer:

50 and 10

Step-by-step explanation:

x+4x+10=y

y is 60

x+4x+10=60

5x+10=60

5x=50

x=10

10*4=40

40+10=50

50+10=60

3 0

3 years ago

Hi! Please help, I'd appreciate it!

Romashka-Z-Leto [24]

The volume of sphere is $\frac{1372}{3}\pi$ feet cubed.

Step-by-step explanation:

Given,

Surface area of sphere = 196π square feet

Surface area of sphere = 4πr²

We will find radius of sphere.

$4\pi r^2=196\pi$

Dividing both sides by 4π

$\frac{4\pi r^2}{4\pi}=\frac{196\pi}{4\pi}\\\\r^2=49$

Taking square root on both sides

$\sqrt{r^2}=\sqrt{49}\\r=7$

The radius is 7 feet.

Volume of sphere = $\frac{4}{3}\pi r^3$

$Volume=\frac{4}{3}\pi (7)^3\\\\Volume= \frac{4}{3}\pi *343\\\\Volume = \frac{1372}{3}\pi$

The volume of sphere is $\frac{1372}{3}\pi$ feet cubed.

Keywords: volume, surface area

Learn more about surface area at:

#LearnwithBrainly

3 0

3 years ago

A company produces and sells widgets and gizmos. In January the company sold 350 items for a total of $9,000. If each widget sol

iren [92.7K]

Answer:

The company sold 100 widgets and 250 gizmos.

Step-by-step explanation:

Let $x_1$ be the number of widgets sold and $x_2$ be the number of gizmos sold.

We are told that the company sold 350 items. We can represent this information in an equation as:

$x_1+x_2=350...(1)$

We have been given that a each widget sold for $35 and each gizmo sold for $22. The company sold 350 items for a total of $9,000.

We can represent this information in an equation as:

$35x_1+22x_2=9,000...(2)$

From equation (1), we will get:

$x_2=350-x_1$

Substitute this value in equation (2):

$35x_1+22(350-x_1)=9,000$

$35x_1+7,700-22x_1=9,000$

$13x_1+7,700=9,000$

$13x_1+7,700-7,700=9,000-7,700$

$13x_1=1,300$

$\frac{13x_1}{13}=\frac{1,300}{13}$

$x_1=100$

Therefore, the company sold 100 widgets.

Substitute $x_1=100$ in equation (1):

$100+x_2=350$

$100-100+x_2=350-100$

$x_2=250$

Therefore, the company sold 250 gizmos.

3 0

3 years ago

Read 2 more answers

Evaluate the expression for X=6 y= -1 4x + 5y

rodikova [14]

<h2>Answer:</h2>

19 ans.

<h2>Step-by-step explanation:</h2><h3>Given:</h3>

x = 6
y = -1

Evaluate 4x + 5y

<h3>Solution:</h3>

We know the value of x and y,

x = 6 and y = -1 [Given]

<u>Substitute the </u><u>value,</u>

4x + 5y
4(6) + 5(-1)
24 + (-5)
24 - 5
19 Ans.

8 0

1 year ago

Radius of 80 meters use 3.14 to find how far she skatws

telo118 [61]

20096m.

Since the radius is 80, the formula is x²×3.14.
80²=6400
6400×3.14=20096
m is the unit
Answer: 20096 meters

4 0

3 years ago