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3 years ago

Evan bought k bottles of pasta sauce at $4 each. He gave $10 to the cashier. How much change should he receive?

Mathematics

2 answers:

umka2103 [35]3 years ago

7 0

Evan bought 2 bottles of pasta and got 2 dollars back

irakobra [83]3 years ago

3 0

2 dollars because he gave $10 which is exactly 2 bottles which is 8 Dollars

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What is the scale factor of ABC to A DEF?

vampirchik [111]

Answer:

Step-by-step explanation:

All sides of triangle EFD have x6 of BAC.

E.g.: BA = 2. ED = 2 x 6 = 12

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3 years ago

Derek measured the height of a window frame as 5.49 feet, but the actual height was 6 feet. What is the percentage of error in D

KIM [24]

Actual = 6 feet.

Measure = 5.49 feet

Error = 6 - 5.49 = 0.51

% Error = (Error / Actual) * 100%

= 0.51/6 * 100% = 8.5%

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3 years ago

The volume of a spherical sculpture is 256 ft³. Rhianna wants to estimate the surface area of the sculpture. To do the estimate,

Brrunno [24]

Answer:

192 $ft^2$

Step-by-step explanation:

Given that

Volume of spherical sculpture = 256 ft³

$\pi$ is used as 3.

To find:

Surface area of sculpture = ?

Solution:

First of all, let us learn about the formula for Volume and Surface Area of Sphere:

1. $Volume =\frac{4}{3}\pi r^3$

2. $Surface\ Area = 4\pi r^2$

Given volume is 256 ft³.

$256 = \dfrac{4}{3}\pi r^3\\\Rightarrow 256 = \dfrac{4}{3}\times 3 r^3\\\Rightarrow 256 = 4 r^3\\\Rightarrow r^3=64\\\Rightarrow \bold{r = 4\ ft}$

Now, let us put r = 4 in the formula of Surface Area to find the value of Surface Area:

$Surface\ Area = 4\pi 4^2 = 4 \times 3 \times 16 = \bold{192\ ft^2}$

So, approximate surface area of sculpture is 192 $ft^2$ .

3 0

2 years ago

A. find the value of a. B. Find the value of the marked angles.

Marat540 [252]

The marked angles are opposite angles, and as such they have the same measure. So, we have

$6a+11 = 2a+83$

Subtract 2a and 11 from both sides to get

$4a = 72$

Divide both sides by 4 to get

$a = \dfrac{72}{4} = 18$

Now that we know the value of a, we can compute the measure of the angles. We can also verify that the solution we found is correct by verifying that both expressions actually give the same result:

$6a+11 = 6\cdot 18 + 11 = 119$

$2a+83 = 2\cdot 18 + 83 = 119$

8 0

3 years ago

Read 2 more answers

A water tank is in the shape of a cylinder with a diameter of 20 feet and a height of 20 feet. The tank is 70% full. About how m

fomenos

Answer:

32901 gallons

Step-by-step explanation:

First, we find the volume of the cylindrical water tank when it is full.

The volume of a cylinder is given as:

V = $\pi r^2h$

where r = radius and h = height of the cylinder

The diameter of the tank is 20 feet, hence, its radius is 10 feet.

Volume, V, is therefore:

V = $\pi * 10^2*20 = 6283.19 ft^3$

This is the volume of the tank, when it is full.

When it is 70% full, the volume will be:

$\frac{70}{100} * 6283.19 = 4398.23 ft^3$

1 cubic foot ( $ft^3$ ) is 7.48 gallons.

Therefore, the volume of the 70% full tank in gallons will be:

4398.23 * 7.48 = 32901.05 gallons ≅ 32901 gallons

The tank contains 32901 gallons of water.

7 0

2 years ago

Read 2 more answers