Find the GCF of 28p4 and 44p2q.

Answer:

60 adults

Step-by-step explanation:

There are 60 adults in the dance because as we have 150 people and the ratio of adults to students is 2:3, we need to add 2+3=5. Now we have 5 parts, so 150÷5=30. This means that there are 30 people per part, and as adults hold 2 parts of it, 30 x 2=60. So, there are 60 adults in the dance. Hope it helps!

The answer is B. Hope this helped.

x₁ = 5

x₂ = - 2

Hi there !

x² - 3x - 10 = 0

x² + 2x - 5x - 10 = 0

x(x + 2) - 5(x + 2) = 0

(x - 5)(x + 2) = 0

x - 5 = 0 => x₁ = 5

x + 2 = 0 => x₂ = - 2

Good luck !

Answer:

true

Step-by-step explanation:

if the vertical lines are not parallel, then the corresponding angles are not congruent.

8x + 2 = 14x - 76

8x - 14x = -76 -2

-6x = -78

x = 13

8(13) + 2 = 14(13) - 76

106 = 106---- equal

the vertical lines is a bit confusing.... they looks like not a parallel lines

Answer:

the answer is (-4,1)

Step-by-step explanation:

Answer:

It's A

Step-by-step explanation:

Answer:

-7/4

Step-by-step explanation:

Since we have two points we can use the slope formula

m = ( y2-y1)/(x2-x1)

  = ( 3 - -4)/( -3 -1)

  ( 3+4) / ( -3 -1)

   7/-4

   -7/4

Answer:

See Below

Step-by-step explanation:

6.333 x 10^2

10^2 = 100

since there is 2 zeros, move the decimal to the right twice.

633.3

Answer:

B- x= 10

Step-by-step explanation:

40x=400 ->  40 x 10= 400

The value of x in the expression 40x = 400 by combining like terms would be 10. Hence, option B is true.

Given that,

The expression is,

40x = 400

Used the concept of expression by combining like terms.

Here, the expression is,

40x = 400

Divide both sides by 40,

x = 400/40

Therefore, the solution of x is,

x = 10

So, Option B is true.

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Answer:

2.5

Step-by-step explanation:

If the ratio is 5:2, then you just have to divide 5 / 2.

5 / 2 = 2.5

Answer:

If 5 cups of flour= 2 cups of sugar

1 cup=1×2/5

        =2/5

Step-by-step explanation:

Answer: 6 trips

Step-by-step explanation:

[1]   4x - 2y + 3z = 1

[2]   x + 3y - 4z = -7

[3]   3x + y + 2z = 5

Add -4 [2] to [1], and add -3 [2] to [3] to eliminate x :

-4 (x + 3y - 4z) + (4x - 2y + 3z) = -4 (-7) + 1

-4x - 12y + 16z + 4x - 2y + 3z = 28 + 1

[4]   -14y + 19z = 29

-3(x + 3y - 4z) + (3x + y + 2z) = -3 (-7) + 5

-3x - 9y + 12z + 3x + y + 2z = 21 + 5

-8y + 14z = 26

[5]   -4y + 7z = 13

Add 2 [4] to -7 [5] to eliminate y :

2 (-14y + 19z) - 7 (-4y + 7z) = 2 (29) - 7 (13)

-28y + 38z + 28y - 49z = 58 - 91

-11z = -33

z = 3

Plug this into either [4] or [5] to solve for y :

-4y + 7 (3) = 13

-4y + 21 = 13

-4y = -8

y = 2

Plug both of these solutions into either of [1], [2], or [3] to solve for x :

x + 3 (2) - 4 (3) = -7

x + 6 - 12 = -7

x = -1

Answer:

the answer is 27

i did this by doing 6 x 2 which is 12 so i then did 16 - 12 which is 4 then i add the 2 in it which is 42 i then did 6 x 7 which is 42 and thats 0

this is my statement and i did this on paper and got this right!

Answer:

27

Step-by-step explanation:

See photo below

Answer:

48 1/4

Step-by-step explanation:

plug in the values of m,n,p

4*7+23+2/8-3

= 28+23+1/4-3

= 28+23-3+1/4

= 28+20+1/4

= 48 1/4

Answer:

4/13

Step-by-step explanation:

To find the perpendicular slope, find the negative reciprocal, which is 4/13 in this case. All you do is flip the numerator and denominator, and change the sign.

Answer:

4/13 should be the answer as it is the reciprocal.

Step-by-step explanation:

I learned this like 2 or 3 years ago so im a bit rusty but im pretty sure thats the answer

Answer:

y = -5x+0

or y = -5

because the gradient is -5 and the y intercept is 0

Answer:

a

    [tex]P(M  \  n \  J ) = 0.0802 [/tex]

b

  Yes

Step-by-step explanation:

From the question we are told that

    The  probability that a random  selected person of age 40  years or older  is a jogger is [tex]P(J) =  0.274[/tex]

    The  probability that a random  selected person of age 40  years or older  is a male given that he/she jogs  is  [tex]P(M |J) = 0.293[/tex]

Generally the probability that a randomly selected person age 40 years or older is male and jogs

    [tex]P(M  \  n \  J ) = P(M|J) *  P(J)[/tex]

    [tex]P(M  \  n \  J ) = 0.293 * 0.274 [/tex]

     [tex]P(M  \  n \  J ) = 0.0802 [/tex]

Generally it would  be unusual  because the probability that a randomly selected person age 40 years or older is male and jogs is  greater than 0.05[border line for statistical  significance]

Answer:

12 pieces

Step-by-step explanation:

80 pieces of candy

1/4 is 25% or 20 pieces of candy

10% would be 8 pieces of candy

subtract the two. Your answer is 12

Answer:

He had 14 more pieces

Step-by-step explanation:

So 80/4 is 20 pieces. So we know John has 20. Now she has 60 left since 80-20 is 60. Now 10 percent of 60 would be 6 pieces. We can subtract 6 from 20 to find out how many more pieces John had. 20-6 is 14. So John had 14 more than Lisa

Answer:

Use a^2 + b^2 = c^2 and substitute

18^2 + 24^2 = c^2

Solve what we know

324 + 576 = c^2

324 + 576 = 900

Square root 900 to get C

sqrt of 900 equals 30

So, yes he can fit the baseball bat in his suitcase

Answer:

1:6

Step-by-step explanation:

There are 20 triangles and four squares, so we know the first part of the ratio is 4. The total number of shapes is 24, so we get 4:24, and if we simplify, we then get 1:6.

Hope this helps!

There is a total of 16 squares, then the ratio of squares to total shapes is 4:9.

The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

As per the given information provided by the question is,

Total number of squares = 16

Total number of shapes = 16 + 20 = 36

Ratio between squares and total shapes,

= 16 : 36

= 4 : 9.

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Answer:

4 is the correct answer.

Step-by-step explanation:

If you're taking FLVS math then this is the right answer, I got it correct on my test.

The required measure of EF is 4. Option c is correct.

ΔABC ≅ ΔEDF
A(−1, 1), B(2, 4), and C(3, 1).

In congruent geometry, the shapes that are so identical. Can be coincide to themselves.

Here,
ΔABC ≅ ΔEDF
SO, AC = EF
EF = [tex]\sqrt{(3+1)^2+(1-1)^2 }[/tex]
EF = 4

Thus, the required measure of EF is 4.

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Answer:

300+40+7

Step-by-step explanation:

Answer:

B. 25%

Step-by-step explanation:

25 percent of 60 would be 15, then if you subtract 15 from 60, you end up with 45, meaning that 25 percent was subtracted.

The percentage is the ratio of change with respect to the original thus cost of a pair of shoes has been reduced by 25% thus option (B) will be correct.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The initial cost of a pair of shoes = $60

Final cost of a pair of shoes = $45

Change in cost = 60 - 45 = 15

The percentage change = change / initial value

Percentage = 15/60

⇒ 0.25 × 100 = 25%

Hence "The cost of a pair of shoes has been reduced by 25%".

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Answer:

12

Step-by-step explanation:

-4 + 4 = 0

0 + 8 = 8

4 + 8 = 12

Answer: Your answer is 56 fluid ounces

Step-by-step explanation: 1 cup (in the us) is equivalent to 8 fluid ounces (in the us) and 8 times 7 is 56!

Hope this helps, if not, comment below please!!!

Answer:

56 fluid ounces

Step-by-step explanation:

One cup has 8 fluid ounces and one fluid ounce is 0.13 cups.

cup * 8 = fl-oz

Answer:

x = 11

Step-by-step explanation:

I hope this helps!