MATHEMATICS HIGH SCHOOL

Which of the following numbers has a prime factorization of 2 x 3 x 7?21
48
42
35

Answers

Answer 1
Answer:

Answer:

42

Step-by-step explanation:

2 x 3 x 7 = 42

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Use the information to find the length of WX in parallelogram WXYZ. The perimeter is 58 cm. YZ is 11 cm less than XY. (Hint: Sketch the diagram.)

Answers

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what does 7 1/5 - 6 2/5 equal exactly? i've done enough math today that my brain isn't happy and i can't think straight.

Answers

(36)/(5) - (32)/(5) = (4)/(5)

Turn them both into improper fractions, and solve from there. 

What is the approximate circumference of a circle with a radius of 40 inches? Use π ≈ 3.14.A.
125.6 inches

B.
251.2 inches

C.
502.4 inches

D.
5024 inches

Answers

To find cirfumfrence we use the formula C = 2 \pi r
Soooo
\pi = 3.14
r = 40 inches
So now we plug it in :P
C = 2 x 3.14 x 40 = 251.2 
answer = B.) 251.2 inches 

A women-only gym has 60% of its members married. 75% of the married women exercise in the morning and 30% of the single women exercise in the morning. Are being married and exercising in the morning independent?A) Yes. P(married | exercise in the morning) = P(exercise in the morning | married) = 75%
B) Yes. P(married and exercise in the morning) = P(married)·P(exercise in the morning) = 45%
C) No. P(married and exercise in the morning) = 60% & P(married)·P(exercise in the morning) = 42%
D) No. P(married and exercise in the morning) = 45% & P(married)·P(exercise in the morning) = 34.2%

Answers

Given:
Women only gym:
60% married women
75% of the married women exercise in the morning
30% of the single women exercise in the morning

60% married women + 40% single women = total women members

60% married
75% exercise in the morning
25% exercise in the afternoon or evening

40% single
30% exercise in the morning
70% exercise in the afternoon or evening

Exercise in the morning
married: 60% x 75% = 45%
single: 40% x 30% = 12%

B) Yes. P(married and exercise in the morning) = P(married)·P(exercise in the morning) = 45% 

Answer:

D) No. P(married and exercise in the morning) = 45% & P(married)·P(exercise in the morning) = 34.2%

Step-by-step explanation:

Change 1/4 to a decimal, then a percent.

Answers

Changing to decimal
1 / 4 = 0.25

Changing to percent, it should be multiplied with 100
0.25*100
25 percent

We can write a fraction as a decimal by dividing the denominator of the fraction into the numerator of the fraction.

Image provided.

To write a decimal as a percent, we can multiply by 100 which moves the decimal point two places to the right.

Image provided.

Expand and simplify: 1.(n-2)(3n+7)+2n(2n+3)

factor each expression fully:
2. 4xsquared-25

Answers

1.\n(n-2)(3n+7)+2n(2n+3)\n\n=n\cdot3n+n\cdot7-2\cdot3n-2\cdot7+2n\cdot2n+2n\cdot3\n\n=3n^2+7n-6n-14+4n^2+6n\n\n=7n^2+7n-14

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2.\n4x^2-25=(2x)^2-5^2=(2x-5)(2x+5)
1.(n-2)(3n+7)+2n(2n+3)
We'll start with (n-2)(3n+7)
Use the FOIL method to simplify: First, Outside, Inside, Last. 
Multiply the first numbers of each bracket (n and 3n), the outside numbers (n and 7), the inside numbers (-2 and 3n) and the last numbers (-2 and 7)
F=  3n×n= 3n²
O= n×7= 7n
I= -2×3n= -6n
L= -2×7= -14
Add them together, you get 3n² + n -14.
The second part is 2n(2n+3)
Multiply both numbers inside the bracket by 2n
2n×2n= 4n²
3×2n= 6n
Add these terms with the previous ones
7n² + 7n -14
Because they all have a common factor of 7, we can represent the equation as 
7(n² + n -2)

2. 4x²-25
To factor this, we convert it into two expressions that we multiply together (like converting -9 into 3×-3)
2x × 2x= 4x²
5 × -5= -25
The answer is (2x+5)(2x-5)
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