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son4ous [18]
3 years ago
13

What is the greatest common factor (GCF) of 24 and 40?

Mathematics
2 answers:
o-na [289]3 years ago
6 0

Question:

What is the greatest common factor (GCF) of 24 and 40?

Answer:

8

Step-by-step explanation:

Viktor [21]3 years ago
4 0

Answer:

8

Step-by-step explanation:

40=2×2×2×5

24=2×2×2×3 then we take the common 2×2×2=8

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Mancini's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what
Anvisha [2.4K]

Question:

Mancini's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what he found.

Type of Crust Number Sold

Thin crust          312

Thick crust          245

Stuffed crust          179

Pan style                  304

Based on this information, of the next  4500 pizzas he sells, how many should he expect to be thick crust? Round your answer to the nearest whole number. Do not round any intermediate calculations.

Answer:

1060 thick crusts

Step-by-step explanation:

Given

The above table

Required

Expected number of thick crust for the next 4500

For last week data, calculate the proportion of thick crust sold

\hat p = \frac{Thick\ crust}{Total}

\hat p = \frac{245}{312+245+179+304}

\hat p = \frac{245}{1040}

\hat p = 0.235577

For the next 4500;

n = 4500

The expected number of thick crust is (E(x)):

E(x) = \hat p * n

E(x) = 0.235577 * 4500

E(x) = 1060.0965

E(x) \approx 1060

3 0
2 years ago
The first term of a geometric sequence is –2 and the common ratio is -1/4 . What are the next three terms of the sequence
rodikova [14]

well -2(-1/4) is .5

so -2, .5,(multiply each by -1/4)

-2, 0.5, -0.125, 0.03125

5 0
3 years ago
Read 2 more answers
A 28 ft ladder is leaned against the side of a building and its base is 5 ft away from the building. How far up the building wil
Sonja [21]

Answer:

27.55ft

Step-by-step explanation:

28²-5²=x

784-25=759

square root of 759=27.55

5 0
2 years ago
Let C be the positively oriented square with vertices (0,0), (1,0), (1,1), (0,1). Use Green's Theorem to evaluate the line integ
liq [111]

Answer:

1/2

Step-by-step explanation:

The interior of the square is the region D = { (x,y) : 0 ≤ x,y ≤1 }. We call L(x,y) = 7y²x, M(x,y) = 8x²y. Since C is positively oriented, Green Theorem states that

\int\limits_C {L(x,y)} \, dx + {M(x,y)} \, dy = \int\limits^1_0\int\limits^1_0 {(Mx - Ly)} \, dxdy

Lets calculate the partial derivates of M and L, Mx and Ly. They can be computed by taking the derivate of the respective value, treating the other variable as a constant.

  • Mx(x,y) = d/dx 8x²y = 16xy
  • Ly(x,y) = d/dy 7y²x = 14xy

Thus, Mx(x,y) - Ly(x,y) = 2xy, and therefore, the line ntegral is equal to the double integral

\int\limits^1_0\int\limits^1_0 {2xy} \, dxdy

We can compute the double integral by applying the Barrow's Rule, a primitive of 2xy under the variable x is x²y, thus the double integral can be computed as follows

\int\limits^1_0\int\limits^1_0 {2xy} \, dxdy = \int\limits^1_0 {x^2y} |^1_0 \,dy = \int\limits^1_0 {y} \, dy = \frac{y^2}{2} \, |^1_0 = 1/2

We conclude that the line integral is 1/2

4 0
2 years ago
In how many ways can 2 singers be selected from 4 who came to an audition?
Svetlanka [38]
First part  its 4C2  = 4*3 / 2 = 6

Second part
12 * 100
----------    =   4.3 %
   280
3 0
3 years ago
Read 2 more answers
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