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Temka [501]
3 years ago
14

Adrian purchases a book for $4.86 and a poster for $3.44. If she gives the cashier

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
8 0

Answer:

$6.70

Step-by-step explanation:

Adrian purchases a book for 4.86 and a poster for 3.44

The total amount he owes would be 4.86 + 3.44 = $8.30

If she gives the cashier 15 dollars she should receive 15 - 8.30 = $6.70 back.

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[TON OF POINTS] [3 QUESTIONS - Easy money :)]
kherson [118]
The <u>correct answers</u> are:

1/6πd³;
3; and 
9 cm.

Explanation:

For the <u>first question</u>:

The formula for the volume of a sphere is:

V=\frac{4}{3}\pi r^3

We have the diameter, not the radius.  The diameter is twice as much as the radius; this means to find the radius using the diameter, we divide by 2.  This gives us:

V=\frac{4}{3}\pi (\frac{d}{2})^3

When we raise a fraction to a power, we raise both the numerator and the denominator to that power.  This gives us:

V=\frac{4}{3}\pi(\frac{d^3}{2^3})&#10;\\&#10;\\=\frac{4}{3}\pi(\frac{d^3}{8})

We start multiplying this:
V=\frac{4\pi}{3}(\frac{d^3}{8})&#10;\\&#10;\\=\frac{4\pi d^3}{3\times 8}&#10;\\&#10;\\=\frac{4\pi d^3}{24}&#10;\\&#10;\\=\frac{4}{24}\pi d^3&#10;\\&#10;\\=\frac{1}{6}\pi d^3

For the <u>second question</u>:

The planes of symmetry are the planes through which we can fold the figure in half.  These are in the middle horizontally through the figure; in the middle vertically (through the width) through the figure; and in the middle vertically (through the length) through the figure.  This makes 3.

For the <u>third question</u>:

The formula for the volume of a triangular prism is:

V=\frac{1}{3}(\frac{1}{2}bh)H,

where b is the base of the triangular base of the pyramid, h is the height of the triangular base of the pyramid, and H is the height of the pyramid.

We know the volume is 90; the base of the triangle is 12 and the height is 5:

90 = \frac{1}{3}(\frac{1}{2}\times 12\times 5)H&#10;\\&#10;\\90 = \frac{1}{3}(\frac{1}{2}\times 60)H&#10;\\&#10;\\90 = \frac{1}{3}(30)H&#10;\\&#10;\\90 = 10H

We divide both sides by 10:

90/10 = 10H/10
9 = H
4 0
4 years ago
If you have 3⁄8 of one pie, what does the denominator tell you?
serg [7]

the pie cut into 8 pieces
8 0
3 years ago
How much time has passed from the first clock to the second clock? The time passed us less than 12 hours.
Elodia [21]

5 hours and 4 minutes

<h3>Reason</h3>

The first clock is 4:25

The second clock is 9:29

9:29-

4:25=

5:04

7 0
4 years ago
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Vlada [557]

Answer:

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8 0
3 years ago
ΔRST and ΔXYZ are equilateral triangles. The ratio of the perimeter of ΔRST to the perimeter of ΔXYZ is 1 to 3. The area of ΔRST
Eduardwww [97]

Answer: D- 97.4

Step-by-step explanation:

For the scale factor of 1:3. Use ratio and proportion to solve for the area of the triangle. 

area of triangle RST/ area of triangle XYZ = (1/3)^2

where

area of traianlge RST = 10.825 inch^2

Area of triangle XYZ= Area of triangle RST x (3)^2

Substitute the given values=97.4 inch^2

6 0
4 years ago
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