write the prime factorization of the following
(A) 27
(B) 64
(C) 125

Answer:

Emily will contribute $24 and Anna will contribute $96

Step-by-step explanation:

From the given information:

Let Emily's salary be x

and let Anna's salary be 4x since Anna's salary is four times Emily's salary.

They were to share the cost of a $120 gift card.

SO, x+4x = 120

5x = 120

x = 120/5

x = 24

Therefore, Emily will contribute x = $24

and Anna will contribute 4x = 4 × $24  = $96

Answer:

(1.2, –4.7)

Step-by-step explanation:

Since in the question it is mentioned that on the plane of coordinate, a line is made from point A (7,-2) to point B(-8,-9)

Also, the ratio of A to B is 5:8

Based on this, the x and y coordinates at point C is

[tex]= [\frac{5\times (-8) + 8\times 7}{5 + 8} , \frac{5\times (-9) + 8\times -2}{5 + 8}]\\\\= [\frac{16}{3}, \frac{-61}{13}][/tex]

= (1.2, –4.7)

Hence, the x and y coordinates of point C is (1.2, –4.7)

Therefore the last option is correct

Answer:

D

Step-by-step explanation:

Find common denomianators.

1/4 = 5/20

1/10 = 2/20

Add.

5/20 + 2/20 = 7/20

Therefore, the answer is 7/20.

Best of Luck!

Answer:7/20

Step-by-step explanation:first you have to find the common denominator which is twenty. Since 4x5 is 20 you multiply the 1 by five and get 5/20.

Then since 10x2 is 20 you have to muliply

1x2 and you get 2/20. Then you and 5/20 and 2/2o and you get 7/20

Answer:

We need to perform a multiplication.

Notice that all non-fraction factors are placed in the numerator.

The only factor in the new denominator is:

3

So most likely C.

Answer:

real, rational

Step-by-step explanation:

The set to which the fraction 5/8 belongs to are real numbers and rational numbers.

A real number is a number that is both a rational number and an irrational number. A rational number is a number that can be expressed as a fraction of two integers

Examples of rational numbers are 1, 0, - 1, 5/8.

To learn more about rational numbers, please check: https://brainly.com/question/20435423

#SPJ2

Step-by-step explanation:

f{g(x)}

= -x²+2

now,

(fog)(3)= -3²+2

Answer:

$54.25

Step-by-step explanation:64-9.75=54.75

Answer:64-9.75=54.25

Step-by-step explanation:

Answer:

a = 0, b = 6, c = 4

Step-by-step explanation:

Given

f(x) = - x² + x + 6 , then

f(- 2) = - (- 2)² + (- 2) + 6 = - 4 - 2 + 6 = 0 ← a

f(0) = 0 + 0 + 6 = 6 ← b

f(2) = - (2)² + 2 + 6 = - 4 + 2 + 6 = 4 ← c

Answer:

a = 0

b = 6

c = 4

Step-by-step explanation:

f(x) = -x² + x + 6

a = -(-2)² + (-2) + 6 = 0

b = -(0)² + (0) + 6 = 6

c = -(2)² + (2) + 6 = 4

Answer:

[tex]x+7<-3[/tex]

Step-by-step explanation:

Sum = +

Less than = <

Merge all together accordingly you get ;

[tex]x +7<-3[/tex]

If you solve the equation , you will get;

x<-10

Answer:

23

Step-by-step explanation:

Since it says f(x) that means that when we see f(-6) we are substituting x for -6.

This means that the equation will become

f(-6) = -3(-6) + 5

First multiply -3 and -6 (18)

f(-6) = 18 + 5

Next add 18 and 5 (23)

This means that f(-6) = 23

23

This problem is basically asking you to plug in -6 for x and solve using the order of operations (PEMDAS)

[tex]f( - 6) = - 3( - 6) + 5[/tex]

[tex]f( - 6) = 18 + 5[/tex]

[tex]f( - 6) = 23[/tex]

Answer:

-1/7

Step-by-step explanation:

8 - 9x -6-5x =4

2-14x = 4

-14x = 2

x = -1/7

Answer:

9. 3

10,1

Step-by-step explanation:

Answer: The value of x is 20

Step-by-step explanation:

The angles are vertical angles so they have to equal each other in other to solve for x.

(x + 40) = 3x          

x + 40 = 3x     subtract x from both sides

-x            -x

40 = 2x     Divide both side by 2

x= 20

Answer

A

Step-by-step explanation:

Problems a through c are asking you what the values would be at those values.

What will the value of [tex]f(x)[/tex] be at [tex]x=0[/tex]? Let's look at the graph.

It seems at [tex]x=0[/tex], [tex]f(x)=0[/tex], meaning that [tex]f(0)=0[/tex]

Let's do the same for the others.

At [tex]x=-3[/tex], [tex]f(-3)=2[/tex]

At [tex]x=2[/tex], [tex]f(2)=-4[/tex]

For the last question, it is giving us the [tex]f(x)[/tex] value and asking us which [tex]x[/tex] values would give us that.

At [tex]f(x)=3[/tex], [tex]x=-2[/tex].

*Note* this function is continuous to the right, meaning that there is another point where [tex]f(x)=3[/tex].

Hope this helps.

頑張って!

Answer: x/2-30

Step-by-step explanation: half= divide by 2 30 less= minus 30

Answer:

$15 in debt

Step-by-step explanation:

Subtract 33 from 18

18 - 33

= -15

So, he will be $15 in debt

Answer:

es 0.225 ... I believe so

Answer:

See Explanation

Step-by-step explanation:

8. (1)

Area of trapezoid = 1/2(sum of || sides) *perpendicular distance

36 =1/2(x+ y) * 6

36 = ((x + y)*3

36/3 = x + y

12 = x + y

x + y = 12.... (1)

8(2)

It is given that:

x = 2y....(2)

From equations (1) & (2)

2y + y = 12

3y = 12

y = 12/3

y = 4

From equation (2)

x = 2y = 2*4

x = 8

9.

Area of square = 1 square m

Side of square = 1 m

Area of circle = 1 square m

[tex]\pi {r}^{2} = 1 \\ {r}^{2} = \frac{1}{\pi} \\ r = \frac{1}{ \sqrt{\pi} } \\ c = 2\pi \: r \\ c = 2\pi \times \frac{1}{ \sqrt{\pi} } \\ c = 2 \sqrt{\pi} \\ c = 2 \sqrt{3.14} \\ c = 2 \times 1.77200451 \\ c = 3.54400902 \\ c = 3.544 \\ difference = 3.544 - 1 = 2.544 \\difference \approx \: 2.54[/tex]

Answer:

12 letters

Step-by-step explanation:

Step-by-step explanation:

According to Boyle's law,

[tex]$ V \propto \frac{1}{P} $[/tex]

or  [tex]$ V = \frac{k}{P} $[/tex]     , where k is the proportionality constant

Given that volume is 360 cubic feet and the pressure is 46 psi.

Therefore, replacing V with 360 cubic feet and P with 46 psi in the above equation gives

[tex]$ 360 = \frac{k}{46} $[/tex]

(360)(46) = k

k = 16560

Answer:

B. 12 square units

Step-by-step explanation:

Answer: 12 square units

Step-by-step explanation: 1/2(6)(4)

Answer:

16

Step-by-step explanation:

20-4=16

Answer:

Rational Number

Step-by-step explanation:

A rational number is, by definition, a number that can be expressed as the quotient or fraction of p/q of two integers, a numerator p and a non-zero denominator q.  33/3 is a fraction of p/q of two integers, a numerator p, or 33, and a non-zero denominator q, or 3.  This makes 33/3 a rational number.

[tex]\sqrt{12}[/tex] is an irrational number

B) f(g(1))= -8 is your answer

Answer:

9?

Step-by-step explanation:

just try imputing number until you get the closet to what you need(Don't Take my answer as a fasho I haven't done this in a while