Ben makes $39,600 a year. What the maximum amount he can afford for a mortgage each month ?

Answer:

x = 17°, m∠ A = 114°

Step-by-step explanation:

We can tell that these pair of angles are corresponding, provided;

Line 1 ║ Line 2, AB ∩ Line 1 and Line 2 ⇒ corresponding ∠s ≅,

m∠ A = m∠ B ⇒ Substitute values of A and B,

6x + 12 = 3x + 63 ⇒ Subtract 3x on either side,

3x + 12 = 63 ⇒ Subtract 12 on either side of equation,

3x = 51 ⇒ Divide either side by 3,

x = 17 ⇒ Substitute value of x to solve for m∠ A,

m∠ A = 6 * ( 17 ) + 12,

m∠ A = 102 + 12,

m∠ A = 114

Solution; x = 17°, m∠ A = 114°

Answer:

x = 17, ∠A = 114°

Step-by-step explanation:

I'm 8 years old and I know how to do this.

6x + 12 = 3x + 63

3x + 12 = 63

3x = 51

x = 17

6(17) + 12

102 + 12 = 114

Answer:

1. 20 + 2x ≤ 60

2. Yes, see explanation

Step-by-step explanation:

Let x equal the amount of exercises Anna can perform.

The inequality will look like this:

20 + 2x ≤ 60

Let's go over each of the values and why there in the equation.

20: The amount of minutes Anna has already spent in the gym

2: The amount of minutes per exercise

x: The amount of exercises Anna can perform

≤: The amount of exercises must be less than or equal to the amount of time Anna is willing to spend in the gym.

60: The amount of minutes in an hour; the amount of time Anna is willing to spend at the gym.

Now, plug in 18 for x for question 2.

20 + 2(18) ≤ 60

Evaluating 2*18, the inequality becomes 20 + 36 ≤ 60.

Evaluating 20 + 36, the inequality becomes 56 ≤ 60.

Since 56 is less than 60, we can determine that Anna has time to do 18 more exercises.

Answer:

3 and -3

Step-by-step explanation:

because both have the same which is equal to 9 so it not above 25 or equal to 25

Answer:

c & F

Step-by-step explanation:

A. 25>25 true

B.144>25,true

C.9>25false

D.25>25 true

E.144>25 true

F.9>25 false

Answer:

23

Step-by-step explanation:

23 + 24 + 25 = 72

Answer:

16x and 2x have like terms

Answer:

the ancer is 1

Step-by-step explanation:

Answer:

2 2/4 or 2 1/2

Step-by-step explanation:

since its like denominators,

3 minus 1= 2

then you move onto fractions

3/4 minus 1/4= 2/4

and if you wanted to simplify 2/4= 1/2

Answer:

The stem and leaf plot is not shown, so I will answer the question in a general way.

Suppose you have the following stem and leaf plot

I 2 I 0 5 8

I 3 I 4 4 7 8

I 4 I 0

Then, the data is: 20, 25, 28, 34, 34, 37, 38, 40. In consequence, one department stores has exactly 37 pairs of glasses. But if your stem and leaf plot is:

I 2 I 0 5 8

I 3 I 7 7 7 8

I 4 I 0

then, three department stores have 37 pairs of glasses, and none of them have 34 pairs of glasses.

Answer:

B.

Step-by-step explanation:

Given: expressions

To find: the expression whose value is closest to e

Solution:

Value of e is 2.718

[tex]\left ( 1+\frac{1}{19} \right )^{19}=\left ( \frac{20}{19} \right )^{19}=2.65\\\left ( 1+\frac{1}{22} \right )^{22}=\left ( \frac{23}{22} \right )^{22}=2.659\\\left ( 1+\frac{1}{20} \right )^{20}=\left ( \frac{21}{20} \right )^{20}=2.653\\\left ( 1+\frac{1}{21} \right )^{21}=\left ( \frac{22}{21} \right )^{21}=2.656[/tex]

Therefore, value 2.659 is closest to the value of e.

So, option B. is correct.

Answer:

B

Step-by-step explanation:

The line graph is bettee.

The better display for the survey of 18 students about the number of movies they watched this past summer is a circle graph.

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

Given that, Mrs. Harless surveyed 18 students about the number of movies they watched this past summer, she used a circle graph and a line graph.

Since, a line graph used to track changes over short and long periods of time, It represents the change in a quantity with respect to another quantity. It shows how the value of something changes over time, or compare how several things change.

Whereas, a circle graph helps organize and show data as a percentage of a whole, it is divided into slices to illustrate numerical proportion.

Therefore, if Mrs Harless used a circle graph, it would be better to understand the data of the students.

Hence, the better display for the survey of 18 students about the number of movies they watched this past summer is a circle graph.

Learn more about graph, click;

https://brainly.com/question/17267403

#SPJ3

Answer:D

Step-by-step explanation:

The answer to the equation-12^6/12^4 is -144

So is-12^2.

Both equations equal -144 making -12^2 equivalent to -12^6/12^4

Hope I helped

Answer:

x= -4, x = 4

Step-by-step explanation:

Step-by-step explanation:

f(x) = 1/3|x|

then

f(x) = 1/3x  , if x ≥ 0

and

f(x) = -1/3x  , if x ≤ 0

the slope of f(x) = 1/3x is 1/3

the slope of f(x) = -1/3x is -1/3

this two above conditions apply on to the fourth graph to the right.

Answer:

n=37

Step-by-step explanation:

45-8=37

Answer:

n=37 easy math :)

Answer:

5.64

Step-by-step explanation:

v=pi(r)2h

hope this helps

Answer:

n=11

Step-by-step explanation:

n+1=4(n-8)

11+1=4(11-8)

12=4(3)

12=12

Answer:

a)400V2 plus 3,600 m2

Step-by-step explanation:

Answer:

400V2 + 3,600 m2

Step-by-step explanation:

Got it right on edge

Answer:

Step-by-step explanation:let x be the number of bicycles,

let y be the number of tricycles

given x+y=20→equation 1

also given 2x+3y=44→equation 2

from eq 1, y=20-x

substitudin ineq 2

2x+3(20-x)=44

2x+60-3x=44

60-x=44

-x=44-60

=-16

x=+16

then y=20-16=4

no of bicycles=16

no of tricycles=4

hope this helps

plzz mark me brainliest

Answer:

Step-by-step explanation:

General equation of line

y = mx + c

m is slope

y = (1/9)x - 1

1/9 is slope

Since the other line that passes through the point is perpendicular, the product of both slopes is -1

1/9 * m = -1

m = -9

Using point-slope method

y-y1 = m(x-x1)

y-3 = -9(x-(-1))

y-3 = -9(x + 1)

y-3 = -9x -9

y = -9x-6

Answer:

Step-by-step explanation:

[tex]3d^{-4}*4d^{4}=3*4*d^{-4+4}\\\\ =12d^{0}\\\\=12*1\\\\=12[/tex]

Answer:

12

Step-by-step explanation:

[tex]3 {d}^{ - 4} .4{d}^{ 4} \\ \\ = 3.4 \frac{{d}^{ 4}}{{d}^{ 4}} \\ \\ = 12[/tex]

Answer:

2x+9=12x-21

-2.      -2

9=10x -21

+21           +21

30=10x

Divide by 10 on both sides

30/10

x=3

Step-by-step explanation:

Answer:

61 ft

Step-by-step explanation:

Answer:

The length of rectangle is 3x.

Step-by-step explanation:

Given that the perimeter of rectangle formula is P = 2l + 2w where l represents length and w is width. Then you have to substitute the expressions into the formula :

[tex]p = 2l + 2w[/tex]

Let p = 8x - 2,

Let w = x - 1,

[tex]8x - 2 = 2l + 2(x - 1)[/tex]

[tex]8x - 2 = 2l + 2x - 2[/tex]

Next you have to find the expression for length by moving all the unrelated terms to the other side :

[tex]8x - 2 - 2x + 2 = 2l[/tex]

[tex]2l = 6x[/tex]

[tex]l = 3x[/tex]

Answer:

A mirror

Step-by-step explanation:

thats all

Answer:

B.

Step-by-step explanation:

If you extend the middle line, you will find that the two angles that the line makes are 60° and 40° by alternate interior angles.

Then, you can just make an equation:

2x + 2x - y + y + 60 + 40 = 360

4x = 260

x = 65°

Now you can use same side interior angles to make another equation:

2x - y + 60 = 180

130 + 60 - y = 180

y = 10

Answer:

HOK =167

Step-by-step explanation:

HOK = HOI +IOJ + JOK

         = 44+46+ 77

          =167

Answer:

Let x be the number of tickets sold to adults and y the number sold to students:

x + y = 315. But we know that y was double x, then :

y = 2x

Plug the value of y (in the 1st equation) by 2x:

 x+ 2x = 315

3x = 315

and x = 105 (which is the number of tickets sold to adults

Read more on Brainly.com - https://brainly.com/question/4429543#readmore

Step-by-step explanation: