How would i solve this problem example optional

Answer:

48

Step-by-step explanation:

Vertical angles are congruent

7x - 22 = 4x + 8     {Add 22 to both sides}

         7x = 4x + 8 + 22

        7x = 4x + 30         { subtract 4x from both sides}

7x - 4x = 30

         3x = 30

           x = 30/3

x = 10

4x + 8 = 4*10 + 8

          = 40 + 8

          = 48

7x - 22 = 7*10 - 22

            = 70 - 22

            = 48

Answer:

17

Step-by-step explanation:

x + 3x = 68

4x = 68

x = 17

Answer:

Good for him also there is no question

Step-by-step explanation:

Answer: whats the car prices that was in the news paper

Step-by-step explanation:

Answer:

The answer to the question provided is

[tex] \frac{5}{24} [/tex]

Answer:

5/24

Step-by-step explanation:

0.21 is the decimal form

The value of x=2 and y=1.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

3x+2y=8

5x+2y=12

Now, solving both using method of Elimination Method

3x - 5x = 8-12

-2x= -4

x = -4/ -2

x= 2

and, 3x+ 2y = 8

3(2) + 2y = 8

6  + 2y = 8

2y = 8-6

2y = 2

y = 2/2

y= 1

Hence, the value of x=2 and y=1.

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Given:

A figure.

To find:

The values of x and y.

Solution:

We know that, in a right angled triangle,

[tex]\sin \theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\sin 60^\circ =\dfrac{x}{16}[/tex]

[tex]\dfrac{\sqrt{3}}{2} =\dfrac{x}{16}[/tex]

Multiply both sides by 16.

[tex]\dfrac{\sqrt{3}}{2}\times 16=\dfrac{x}{16}\times 16[/tex]

[tex]8\sqrt{3}=x[/tex]

And,

[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]

[tex]\cos 60^\circ =\dfrac{y}{16}[/tex]

[tex]\dfrac{1}{2}=\dfrac{y}{16}[/tex]

Multiply both sides by 16.

[tex]\dfrac{16}{2}=y[/tex]

[tex]8=y[/tex]

Therefore, the missing side lengths are [tex]x=8\sqrt{3}[/tex] and [tex]y=8[/tex].

Answer:

33/40

Step-by-step explanation:

cross multiply

5 x 5 = 25

8 x 1 = 8

25 + 8 = 33 (our numerator)

8 x 5 = 40 (our least common denominator)

Answer:

The answer is 12 hours.

Step-by-step explanation:

If she completes 1/4 of a page in an hour completing one page will take her 4 hours after that you multiply it by 3 and get the total of 12 hours that is takes for her to do her homework

Answer:

the answer is 12 :)))))

Step-by-step explanation:

3/6=k/7

cross multiply then

6k=21

divide by the coefficient of k

k=3.5

Answer:

86 heartbeats per minute

Step-by-step explanation:

i assume that's your question?

the number of heartbeats per minute is 86.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, 473 heartbeats in [tex]5\frac{1}{2}[/tex] = 11/2minutes

Number of heart beats per minute = Total number of heart beats ÷ Number of minutes

= 473÷ 11/2

= 473×2/11

= 43×2

= 86 beats per minute

Therefore, the number of heartbeats per minute is 86.

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Answer:

14

Step-by-step explanation:

A number that is exactly halfway between 1 and 27 is the middle number

In other words, we want to find the median between 1 and 27

Median = (x + y) / 2

Let

x = 1

y = 27

Median = (x + y) / 2

= (1 + 27) / 2

= 28/2

= 14

Therefore, the number between 1 and 27 is 14

Answer:

$16.10

Step-by-step explanation

14.00x .15=2.10

14.00+2.10=16.10

Answer:

7

Step-by-step explanation:

Answer:

I would say about 67 minutes

Answer:

[tex]5x^2-5x-6x+6[/tex]

Step-by-step explanation:

[tex]5x^2-11x+6\\5x^2-5x-6x+6[/tex]

we need to factorize it so the X-term expanded should satisfy two conditions

1) +5 times +6 should be +30

2) add or subtract any two numbers which multiply and give -11

so here -5 times -6 gives +30 and -5 added to -6 equals -11

Answer:

The slope is 2/1 and the y-intercept is -6.

Step-by-step explanation:

With the y=mx+b formula, m is the slope and b is the intercept.

Answer: -6

Step-by-step explanation:

Answer:

h(4) = 3

f-1(-3) = - 1

Step-by-step explanation:

One

h(x) = 2x - 5

h(4) = 2*4 - 5

h(4) = 8 - 5

h(4) = 3

Two

Let y = f(x)

y = 5x + 2           Interchange x and y

x = 5y + 2           Subtract 2 from both sides

(x - 2) = 5y          Divide by 5

(x - 2)/5 =  y

but y = f'(x)

so f(x) = (x - 2)/5

f-1(-3) = (-3 - 2) / 5

f-1(-3) = -5/5

f-1(-3) = - 1

Answer:

B.9

Step-by-step explanation:

What I did is I used ratio.

20:12

15:X

Cross multiply:15x12

Answer:180

The answer you get divided by 20.

180/20=9.

Answer:

B

Step-by-step explanation:

Given y varies directly as x, then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition when x = 20, y = 12, then

12 = 20k ( divide both sides by 20 )

k = [tex]\frac{12}{20}[/tex] = [tex]\frac{3}{5}[/tex]

y = [tex]\frac{3}{5}[/tex] x ← equation of variation

When x = 15, then

y = [tex]\frac{3}{5}[/tex] × 15 = 9

Answer:

b) y = -2/3 + 1

Step-by-step explanation:

The format for the equation is y = mx + b

(m is the slope, and b is the y intercept)

Slope is rise over run (the units the line moves up and the units the line moves to the right)

In this case, the slope is: -2/3 because it goes down 2 and to the right 3.

The y intercept is 1.

This makes our equation:

y = -2/3 + 1

Step-by-step explanation:

Since X : Y = 1 : 2, X = 0.5Y.

Since Y : Z = 2 : 5, Z = 2.5Y.

We have X + Y + Z = 4Y = 40. Hence Y = 10.

[tex]y=10[/tex]

Given -

[tex]x+y+z=40\\x:y=1:2\\y:x=2:5[/tex]

To find - [tex]y[/tex]

Since,

[tex]x:y=1:2,x=0.5y\\y:x=2:5,z=2.5y\\x+y+z=4y+40\\y=10[/tex]

Therefore, [tex]y=10[/tex].

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Answer: you didnt post graphs to look at

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Answer:

First angle = 117 degrees.

Second angle = 63 degrees.

Step-by-step explanation:

Answer:

25 - 3x = 40            ​x=-5

1/3x - 12 = -3           x=27

Step-by-step explanation:

25-3x=40 -> subtract 25 each side .... -3x=15 -> divide -3 each side...... x= -5

Answer: (-5,1)

Step-by-step explanation: Explanation in picture.

Answer:

-2 and 109

Step-by-step explanation:

just put that

Answer 2 and -109

Step-by-step explanation:

I did the test

Answer:

The answer to this question 6(4a-3b)

Answer:

6(4a-3b)

Step-by-step explanation: