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aliina [53]
3 years ago
12

Branliest to correct answer explain how you solved it please

Mathematics
1 answer:
nika2105 [10]3 years ago
4 0

Answer:

{1}

Step-by-step explanation:

A ∩ B ∩ C means A intersection B intersection C. That means the question is asking for a set of numbers that are in sets A, B, and C.

{1} is the answer since it is the only number that is in all three sets.

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The ratio of the volume of two solids is 1331:729. What is the ratio of the surface area
katovenus [111]
Volume ratio = 1331/729 which is the cube of the linear scale factor.
To find the linear scale factor, let find the cubic root of the numerator & the denominator:

∛1331 = ∛11³  = 11

&  ∛729 = ∛9³  = 9

So the linear scale is 11/9 ==> then the ratio of their surface area will be:

11²/9² ==> 121/81.
Note, if you have a linear scale, then the surface will be the square othis scale & the volume will be the cube of the linear scale
8 0
3 years ago
Danny's truck has a fuel tank with a capacity of 20 gallons of gas. The truck averages 17 miles per gallon of gas. The function
Fittoniya [83]

For this case we have the following function:

M (g) = 17g

Where,

g: number of gallons of gas

M (g): number of miles that Danny's truck travels

We know that the maximum capacity is 20 gallons of gas.

Therefore, the maximum distance the truck can travel is given by:

M (20) = 17 (20)

M (20) = 340

Thus, the domain of the function is:

0 \leq g \leq 20

The range of the function is:

0 \leq M(g) \leq 340

Answer:

A domain and range that are reasonable for the function are:

D. D: 0 ≤ g ≤ 20

R: 0 ≤ M (g) ≤ 340

5 0
3 years ago
The area of a circular fountain is 121pi square feet. What is the diameter of the fountain?
Alla [95]

Answer:

22 feet

Step-by-step explanation:

Area of circle = pi(r²)

the square root of 121 is 11, so r = 11

d = 2r

d = 22

7 0
3 years ago
A cleaning company charges x dollars per hour to clean floors and y dollars per hour to clean the rest of the house
Nina [5.8K]

Answer:

(15,18)

Step-by-step explanation:

write two equations with the information provided.

2x + 3y = 84

x + 4y = 87

use the property of substitution to answer.

x + 4y = 87,   x = 87 - 4y

2(87 - 4y) + 3y = 84

174 - 8y + 3y = 84

174 - 84 = 8y - 3y

90 = 5y

90/5 = y

y = 18

Add the value of Y to an original equation. Solve for X

2x + 3(18) = 84

2x + 54 = 84

2x = 84 - 54

2x = 30

x = 30/2

x = 15

8 0
3 years ago
-1/2+2/5 in simplest form
Effectus [21]

Answer:

-1/10

Step-by-step explanation:

We need to get a common denominator of 10

-1/2 *5/5 = -5/10

2/5*2/2 = 4/10

-5/10 +4/10 = -1/10

4 0
3 years ago
Read 2 more answers
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