Complete the equation describing how x and y are related.

Answer:

x = 21°

y = 29°

Step-by-step explanation:

a) Solving for x

Note that:

(3x - 3)° and 60° are Alternate interior angles, and alternate interior angles are equal to each other, hence:

3x - 3 = 60° (Alternate interior angles)

Add 3 to both sides

3x - 3 +3 = 60 + 3

3x = 63°

x = 63°/3

x = 21°

b) Solving for y

Notes that:

(3x - 3)° and (4y + 4)° are Consecutive interior angles and the sum consecutive interior angles is 180°

3x - 3 + 4y + 4 = 180°

3x + 4y - 3 + 4 = 180°

3x + 4y + 1 = 180°

Note that x = 21

Hence

3(21) + 4y + 1 = 180°

63 + 1 + 4y = 180°

64 + 4y = 180°

Subtract 64 from both sides

64 - 64 + 4y = 180° - 64

4y = 116°

y = 116/4

y => 29°

Answer:

Step-by-step explanation:

lets replace x with 3

f(3)= -2(3)^3+3(3+2)=-2*27+15=-54+15=-39

I don't really know but I believe it is:

Rounded to the nearest thousandth, the conditional relative frequency that an eleventh grader likes tennis is 69%.

ROunded to the nearest thousandth, the conditional relative frequency that a twelfth grader likes tennis is 51%.

Since 51% is less than 69%, a greater percent of eleventh grader like tennis.

Step-by-step explanation:

208

= 128 + 64 + 16

= 1 * 2⁷ + 1 * 2⁶ + 1 * 2⁴

= 11010000. (base 2)

Answer: B

Step-by-step explanation:

Answer:

y=5x-7

Step-by-step explanation:

1. find slope

-2-0

1-1.4

is 5

2. find y intercept

y-0=5(x-1.4)

y=5x-7

Answer:

5x - 7

Step-by-step explanation:

Option B since -7/15 equals -0.4666...

Hope it helps!

Answer: 20 percent

The school hall is 60 percent boys and 40 percent girls.

Answer:

2m^6

Step-by-step explanation:

6m^8/3m^2 =

6/3 = 2

m^8 - m^2 = m6

Answer:

p=5

Step-by-step explanation:

Answer:

p = 5

Step-by-step explanation:

-12 + 3p = 3

3p = 3 + 12

    = 15

p = 15 ÷ 3

p = 5

Answer:

y=1.50x ...........

Step-by-step explanation:

Let x be the per-bottle price of the energy drink. Then:

3x=y=4.50

x=4.50/3

 =1.50

Then:

y=1.50x ...................

Answer:

0; 2; 6; 0 or -1

Step-by-step explanation:

If the question says "f(a)=" they are asking for the y value with the given x such as the two first ones.

If it's "f(x)=a than x=" they are asking you what x is when the (bolded) x is a given value.

Answer:

$49

Step-by-step explanation:

78 - 29 = 49

To get 49, I subtracted 29 from 78.

Answer:

The answer is B

Step-by-step explanation:

Your welcome

Answer:

Infinite number of solutions

Step-by-step explanation:

when you solve for V, you notice that the term in "v" goes away, and you end up with a true statement:

2 = 2

This is a true statement no matter what values the variable V has, so it is true for all possible (infinite) values of "v".

9514 1404 393

Answer:

  (x, y, z) = (-8 2/7, -10, -7 3/7)

Step-by-step explanation:

A graphing calculator or matrix solver can find the solution easily. It is ...

  (x, y, z) = (-8 2/7, -10, -7 3/7)

__

You can find y by subtracting the second equation from the third:

  (2x -y +z) -(2x -3y +z) = (-14) -(6)

  2y = -20

  y = -10

Putting this value into the first equation and either of the others gives ...

  x -3z = 14

  2x +z = -24

Subtracting twice the first of these from the second gives ...

  (2x +z) -2(x -3z) = (-24) -2(14)

  7z = -52

  z = -52/7 = -7 3/7

  x = 14 +3(-7 3/7) = -8 2/7

So, the solution is (x, y, z) = (-8 2/7, -10, -7 3/7).

Answer:

Step-by-step explanation:

No Solution!

Answer: 5:2

Step-by-step explanation:

Well, you are going to find a number they both divide by in this case it is 2

10/2=5

4/2=2

Now when rewriting your numbers make sure to put what comes first first

5:2

5 and 2 can not be divided evenly anymore so your final answer is 5:2

Hope this helped!

Answer:

2.24

Step-by-step explanation:

This problem can actually be changed from a subtraction problem to an addition problem. Two negative signs together make a positive.

So, the problem becomes:

-96.43

+ 98.67

Now, remember this phrase to help solve problems like this:

Same sides add and keep. Different signs subtract. Keep the sign of the higher number.

Answer:

B. (3, -2)

Step-by-step explanation:

The solution of the system of the equations given, can be determined using the graph. The coordinate of the point where the two lines of both equations intersect is the solution.

Both lines intersect at x = 3, when y = -2.

Therefore, the solution would be (3, -2).

Answer:

Step-by-step explanation:

3/4 x 9/4 = 1.6875 or 27/16

Answer:

1[tex]\frac{11}{16}[/tex]

Step-by-step explanation:

When multiplying mixed numbers, you would want to turn them into improper fractions first before evaluating.

[tex]\frac{3}{4}[/tex] × 2[tex]\frac{1}{4}[/tex] = [tex]\frac{3}{4}[/tex] × [tex]\frac{9}{4}[/tex]

Now you can just directly multiply the fractions (denominators with denominators and numerators with numerators)

[tex]\frac{3}{4}[/tex] × [tex]\frac{9}{4}[/tex] = [tex]\frac{27}{16}[/tex]

You know that is still an improper fraction, so you need to turn it back to a mixed number.

[tex]\frac{27}{16}[/tex] = 1[tex]\frac{11}{16}[/tex]

Answer:

the slope is 3/1 or 3

Step-by-step explanation:

you look at a point where the line goes thru the graph lines and count spaces in between

dont forget to mark me brainliest plzzzz

Answer:

the answer  is 3/1 or 3

Step-by-step explanation:

don't forget to brainliest me please.

Answer: this is wrong there will be 28

Step-by-step explanation:

Answer:

Its 9

Step-by-step explanation:

Answer:

Step-by-step explanation:

P1 = (0,2)

M =8/2= 4

y-2=4(x-0)

y-2 = 4x

y= 4x +2

:)

Answer:

The price was reduced from $60 to $45 - So the price was reduced by $15. $15 is what percent of the original price of $60? Percentages can be expressed as fractions or decimals. For example, 30% is the same as 0.30 or 30/100.

Simplify the expression.

− 52

Answer:

Solution in photo

Step-by-step explanation:

Answer:

4ab8c

4(8)(4)(8(12)

(32)(38)(12)

(1216)(12)

14592

Step-by-step explanation:

Answer: 45

Step-by-step explanation:

The store has to sell  

45

pairs of shoes.

Explanation:

The store has a base cost of  

$

1800

, the cost per pair of shoes is  

$

25

. Each pair of shoes is sold for  

$

65

, therefore the profit per pair of shoes is

$

65

−

$

25

=

$

40

The formula for calculating the amount that needs to be sold would look like this;

40

x

=

1800

To determine the value of  

x

, we take this formula;

x

=

1800

40

x

=

45

Therefore, the store needs to sell  

45

pairs of shoes to break even.

Answer:

30in²

Step-by-step explanation:

A=1/2(4)(5+10)

A=2x15

A=30in²