Complete all 10 problems

Answer:

x = 2

Step-by-step explanation:

The two angles are congruent because they are alternative interior angles.

9x + 4 = 3x + 16

9x - 3x + 4 = 3x - 3x + 16

6x + 4 = 16

6x + 4 - 4 = 16 - 4

6x = 12

x = 2

Answer:

a b c d e f g h i j k l m n o p q r s t u v w x y z

Step-by-step explanation:

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Answer:

10

Step-by-step explanation:

log4(x+6)=2

x+6=4²

x=4²-6

x=10

Answer:

[tex]x=10[/tex]

Step-by-step explanation:

[tex]log_4(x+6)=2[/tex]

[tex]4^{log_4(x+6)}=4^2[/tex]

[tex]x+6=16[/tex]

[tex]x=10[/tex]

Remember that logarithmic functions are the inverses of exponential functions. Therefore, we raise the base of the logarithm to the logarithm to undo the operation.

Set up an equation:

4x + 8y = 200

200/4 = 50

200/8 = 25

They callus sell 50 student tickets and 0 adult tickets

They could sell 0 student tickets and 25 adult tickets.

They could sell 10 student tickets and 20 adult tickets

They could sell 10 adult tickets and 30 student tickets

Answer:

(2x+3)square+2

Step-by-step explanation:

(2x) square +2 (2x)(3)+(3)square

2x square +12x+9

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For every 5 minutes of jogging, I ran 500 yards

To Find : Use ratio language to describe the relationship of any two things

Determine the unit rate

Solution:

every 5 minutes of jogging, I ran 500 yards

=> 500/5 = 100 yards/ minute

For every 20 minutes ,  I can type 1000 words in

unit rate = 1000/20  = 50 words per minute

For every 1 hr (60 minutes)  I can solve 10 Questions

unit rate = 10/60     = 1/6 Question per minute  

For every 10 minutes , i can read 5 pages

unit rate = 5/10   = 1/2 pages per minute

Learn More:

Selma uses a jogging trail that runs through a park near her home ...

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Keith is saving money for a car. He has saved the same amount ...

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Answer:

111

Step-by-step explanation:

multiply 33 by 6 because 6 is being subtracted every time and then subtract 198 from 309

Answer:

117

Step-by-step explanation:

Hope this helps!

Answer:

See answers below

Step-by-step explanation:

slope-intercept form- y=-2x+3

point slope form- y-11=-2(x+4)

Use the given slope and point to substitute into the point-slope formula

then you can solve for y=mx+b

Answer:

6x + 12 < 10

Step-by-step explanation:

The side 10 is greater than 6x+12

Answer:

750/100 or 7 1/2 whichever way u need

Step-by-step explanation:

Answer:

5%

Step-by-step explanation:

Based on the given conditions, formulate: (26460-25200)÷25200

Calculate the sum or difference: 1260/25200

Cross out the common factor: 1/20

Multiply a number to both the numerator and the denominator: 1/20 * 5/5

Write as a single fraction: 5/20*5

Calculate the product or quotient: 5/100

Rewrite a fraction with denominator equals 100 to a percentage: 5%

Answer:

Any number(except 0) to the power 0 is equal to 1. So the the answer is 1.

Step-by-step explanation:

The required change in the price of the share of stock is $4.4.

Given that,
On September 1, you own 12.5 shares of stock that are worth $149.87. On December 1, the shares are worth $94.87, and the change in the price per share of stock is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Initial total cost shares of stock = $149.87
A total number of shares = 12.5
The initial cost of single share = 149.87/ 12.5 = $11.98
Now final cost of the total share = $94.87
The final cost of the single share is = 94.87 / 12.5 = $7.58
Change in price of shares of stock = 11.98 - 7.58 = $4.4

Thus, the required change in the price of the share of stock is $4.4.

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Answer:

15 batteries

Step-by-step explanation:

a. We have

5 batteries = 3 days

5 batteries/3 days = 1

5 batteries/3 days

we need to convert this to 9 days, so

x amount of batteries = 9 days

x batteries / 9 days = 1

5 batteries / 3 days = x batteries / 9 days

b.

5 batteries / 3 days = x batteries / 9 days

multiply both sides by 9 days to get rid of the denominators as well as the days variable

5 batteries * 9 days / 3 days = x batteries

5 batteries * 3 = x batteries

15 batteries = x batteries

x = 15

The proportion for the given situation is 3 : 5 :: 9 : x and 15 batteries required for 9 days trip.

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Let x be number of batteries required for 9 days trip.

a) So, the proportion is

3 : 5 :: 9 : x

b) Solve for x, that is

3x=45

⇒ x=15

Therefore, the number of batteries required for 9 days trip is 15.

To learn more about the proportions visit:

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Answer:

option A

Step-by-step explanation:

The given Series:

10,14,18,22,26... is an Arithmetic Progression.

Concept:

The difference between consecutive numbers always remains the same.

For instance:

14 - 10 = 18 - 14 = 22 - 18 = 4

This difference is known as the common difference.

In an A.P., the nth (an) term of a series can be found out by:

[tex] \boxed{ \sf{a _{n} = a + (n - 1)d}}[/tex]

Here,

[Don't get confused by (n- 1), it's simply the number of terms - 1. If the number of terms, somehow, is (n - 1) itself, your formula will be an = a + ((n - 1) -1)d]

Soltution:

The first term of the given Series is 10.

==> a1 = 10

Finding an:

the nth term will be:

an = 10 + (n - 1)4

==> 10 + 4n - 4

==> 6 + 4n

Strategy:

All the given options have an and a(n-1). So we have to deduce a relation between an and a(n- 1).

Finding a(n-1):

==> a(n-1) = 10 + ((n - 1) -1)4

= 10 + (n- 2)4

= 10 + 4n - 8

= 4n + 2

Subtracting a(n-1) from an:

==> an - a(n-1) = 6 + 4n - (4n + 2)

==> an - a(n-1) = 6 + 4n - 4n - 2

==> an - a(n-1) = 4

==> an = 4 + a(n-1)

Hence, option A is the answer.

Answer:

[tex]15\sqrt{3}[/tex] inches

Step-by-step explanation:

[tex]2\sqrt{12} +2\sqrt{27} +\sqrt{12}+3\sqrt{3}[/tex]

[tex]2\sqrt{4*3} +2\sqrt{9*3} +\sqrt{4*3} +3\sqrt{3}[/tex]

[tex]4\sqrt{3} +6\sqrt{3} +2\sqrt{3} +3\sqrt{3}[/tex]

[tex]15\sqrt{3}[/tex] inches

Hope this helps!

Answer:

154

Step-by-step explanation:

42 is 35% of 120, and 78 is 65% of 120. Thus 35% of 440 is 154 people who would shop for shoes.

Please like and thank, hope this helps.

The number of customers that would shop for children's shoes during an average month is 154.

Number of randomly selected customers = 120

Number of customers willing to shop for children's shoes = 42

As we know that percentage is the value per hundred.

So, (42/120) *100 = 35%

So, 42 is 35% of 120.

This means that 35% of customers are willing to shop for children's shoes.

Average customers per month = 440

35% of 440 = (35*440)*100

35% of 440 =154

So, the number of customers that would shop for children's shoes

during an average month =154.

Therefore, the number of customers that would shop for children's shoes during an average month is 154.

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Answer:

30%

Step-by-step explanation:

[tex]\frac{1020}{3400} =\frac{30}{100}[/tex]

Answer:

30%

Step-by-step explanation:

given

Total:3400

satisfied people:1020

we know that,

percent of satisfied:3400/1020x100%

=30%

Answer:

Step-by-step explanation:

Slope form: y=mx+b

given slope and x intercept:

y=3x+b

let y=0

0=3(7)+b

b=-21

so:

ANSWER: y=3x-21

Answer:

The expression "-424 +122-72+2" doesn't seem to have anything to do with the rest of the problem.  The sum of what was written is -372.  There are no unknowns (x's) in this expression, and yet the work shows x's in the analysis.

Step-by-step explanation:

What does "by using

202+1

polynomial long division."  mean??

do the numbers after the x's represent exponents?

e.g.:  "2x + 1) - 4x4 + 12x3 - 7x + 2" is really "2x + 1) - 4x4 + 12x^3 - 7x + 2"

Answer:

I can help you with it

Step-by-step explanation:

Answer:

x=-5, y=-8. (-5, -8).

Step-by-step explanation:

-x+2y=-11

5x-8y=39

---------------

5(-x+2y)=5(-11)

5x-8y=39

---------------------

-5x+10y=-55

5x-8y=39

--------------------

2y=-16

y=-16/2

y=-8

-x+2(-8)=-11

-x-16=-11

-x=-11+16

-x=5

x=-5

Answer:

m = 200

Step-by-step explanation:

Substitute n = 50 in the equation

         n = 2/5m - 30

       50 = 2/5m - 30

50 + 30 = 2/5m

       80 = 2/5m

         m = 80 ÷ 2/5

         m = 200