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3 years ago

Calculate the volume of the given pyramid to the nearest tenth

Mathematics

1 answer:

ankoles [38]3 years ago

4 0

Answer:(A.)

Step-by-step explanation:The reason why its a its because that 13x8=104x17=1,768/3=589.3. Therefore 589.3 can not be round to the nearest tenth.

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Four friends shared 1/2 of one carton of orange juice and 1/4 of another carton of apple juice. What fraction of each carton of

Natalka [10]

Answer:

$\dfrac{1}{16}$

$\dfrac{1}{32}$

$\dfrac{3}{32}$

Step-by-step explanation:

So in the first carton of orange juice 4 friends shared the juice.

This can be shown as:

$\dfrac{(\dfrac{1}{2})}{4}$

$\dfrac{(\dfrac{1}{2})}{4}=\dfrac{1}{16}$

The 4 friends got 1/16 of the carton each in the first carton of OJ.

Next for the second carton, it can be shown as:

$\dfrac{(\dfrac{1}{4})}{4}$

$\dfrac{(\dfrac{1}{2})}{4}=\dfrac{1}{32}$

The 4 friends got 1/32 of the carton each in the first carton of OJ.

Now to see how much they got in total each, we simply add 1/16 to 1/32

$Total OJ each = \dfrac{1}{16}+\dfrac{1}{32}$

$Total OJ each = \dfrac{3}{32}$

Each friend got a total of $\dfrac{3}{32}$ each from both cartons of OJ.

3 0

3 years ago

Ariana is going to invest in an account paying an interest rate of 1.9% compounded monthly. How much would Ariana need to invest

Brrunno [24]

Answer:

110000=p(1+0.019)^168

23.62p=110000

p=4660

8 0

3 years ago

Which is an equation of the line that passes through the points (-1,9) and (4, 24)?

choli [55]

Answer:

y = 3x + 12

Step-by-step explanation:

Slope (m) = 24-9/4-(-1)

= 25/5

= 3

Using point (-1 , 9)

y - y1 = m (x - x1)

y - 9 = 3 (x - -1)

y - 9 = 3 (x + 1)

y - 9 = 3x + 3

y = 3x + 3 + 9

y = 3x + 12

4 0

3 years ago

Paaaa hellllpppp po with solution po sana

ira [324]

<h2>Solving Equations</h2>

To solve linear equations, we must perform inverse operations on both sides of the equal sign to <em>cancel values out</em>.

If something is being added to x, subtract it from both sides.
If something is being subtracted from x, add it on both sides.
Same with multiplication and division. If x is being divided, multiply. If x is being multiplied, divide.

We perform inverse operations to<em> combine like terms</em>. This means to get x to one side and everything else on the other.

<h2>Solving the Questions</h2><h3>Question 1</h3>

$5x+7=15$

Because 7 is being added to x, subtract it from both sides:

$5x+7-7=15-7\\5x=8$

Because x is being multiplied by 5, divide both sides by 5:

$\dfrac{5x}{5}=\dfrac{8}{5}\\\\x=\dfrac{8}{5}$

Therefore. $x=\dfrac{8}{5}$ .

<h3>Question 2</h3>

$7x+4=5x-18$

Here, we can group all the x values on the left side of the equation. Subtract 5x from both sides:

$7x+4-5x=5x-18-5x\\2x+4=-18$

To isolate x, subtract 4 from both sides:

$2x+4-4=-18-4\\2x=-22$

Divide both sides by 2:

$\dfrac{2x}{2}=\dfrac{-22}{2}\\\\x=-11$

Therefore, $x=-11$ .

6 0

2 years ago

Austen needs to buy a bathroom mirror that is 2 feet wide and 3 feet long. If the mirror

PtichkaEL [24]

<h2><u>Question :-</u></h2>

Austen needs to buy a bathroom mirror that is 2 feet wide and 3 feet long. If the mirror sells for $5.00 per square foot, what will the total cost of the mirror be?

<h2><u>Solution :-</u></h2>

<h3><u>Given Information :-</u></h3>

<u>Length of the mirror Austen needs to buy ➢</u> 3 ft
<u>Width of the mirror Austen needs to buy ➢</u> 2 ft
<u>Cost of mirror per square foot ➢</u> $5.00

Total cost of the mirror Austen needs to buy.

<h3><u>Formula Used :-</u></h3>

Area of Mirror = Length × Width
Total cost of mirror = Area of mirror × Cost of mirror per square foot

<h3><u>Calculation :-</u></h3>

<u>Area of mirror :-</u>

<em><u>Substituting the values given in the 1st formula, We get, </u></em>

⇒ Area of mirror = ( 3 × 2 ) ft²

⇒ Area of mirror = 6 ft²

<u>Now finding the total cost of mirror,</u>

<em><u>Substituting the values calculated above in the 2nd formula, We get </u></em>

⇒ Total Cost of mirror = $ ( 6 × 5.00 )

⇒ Total Cost of mirror = $30

<h2><u>Final Answer :-</u></h2>

Total cost of the mirror Austen needs to buy will be $30

7 0

3 years ago