According to the Census Bureau, in 2014 California had an estimated population of 3.88 × 107 and Wyoming had a population of 5.84 × 105. Complete the following sentences.

Answer:

1. a) 3x + 21 = 6x - 60

  b) x = 27

  c) angle measure = 102º

2. a) 12x - 18 = 8x + 10

   b) x = 7

   c) angle measure = 66º

3. a) 7x + 9 + 5x + 3 = 180 (simplified: 12x + 12 = 180)

   b) x = 14

   c) 107º; 73º

4. a) 3x + 10 + 3x -28 = 180 (simplified: 6x -18 = 180)

   b) x = 33

   c) 109º; 71º

5. a) 12x + 15 = 15x

   b) x = 5

   c) 75º

Step-by-step explanation:

1. a) they're the same angle so set them equal to each other: 3x + 21 = 6x - 60

  b) solve from the equation above

      3x + 21 = 6x - 60        subtract 3x from both sides

       21 = 3x - 60                add 60 to both sides

       81 = 3x                        divide both sides by 3

       x = 27

  c) plug back into each equation (they should be the same, but do both just to check)

      3(27) + 21 = 81 +21 = 102º

      6(27) - 60 = 162 - 60 = 102º

2. a) again, they're the same angle measure so set them equal to each other: 12x - 18 = 8x + 10

   b) solve the equation for x

      12x - 18 = 8x + 10            subtract 8x from both sides

       4x - 18 = 10                     add 18 from both sides

       4x = 28                           divide both sides by 4

       x = 7

  c) plug back into each equation (they should be the same, but do both just to check)

      12(7) - 18 = 84 - 18 = 66º

      8(7) + 10 = 56 + 10 = 66º

3.  a) the sum of the two angles is 180º so 7x + 9 + 5x + 3 = 180

         if you want the equation simplified: 12x +12 = 180

     b) solve for x, i will be using the simplified equation

         12x + 12 = 180            subtract 12 from both sides

         12x = 168                    divide both sides by 12

         x = 14            

     c) plug into each equation to get the two angle measures

         7(14) + 9 = 98 + 9 = 107º

         5(14) + 3 = 70 + 3 = 73º

4. a) the sum of the two angles is 180º so 3x + 10 + 3x -28 = 180

       if you want it simplified: 6x -18 = 180

   b) solve for x, i will be using the simplified equation

       6x - 18 = 180                    add 18 to both sides

       6x = 198                           divide both sides by 6

       x = 33

   c) plug into each equation to get the two angle measures

      3(33) + 10 = 99 + 10 = 109º

      3(33) - 28 = 99 - 28 = 71º

5. a) they're the same angle measure so set them equal to each other: 12x + 15 = 15x

   b) solve for x with the equation above

        12x + 15 = 15x                   subtract 12x from both sides

        15 = 3x                              divide both sides by 3

        x = 5

  c) plug back into each equation (they should be the same, but do both just to check)

      12(5) + 15 = 60 + 15 = 75º

      15(5) = 75º    

Answer:

263 remainder of 5

*for your comment* 100 would be a reasonable estimate.

Answer: The answer is 3

Step-by-step explanation:

I believe the answer is 3

I really hope this helps you! :)

The zero pairs that can be created in the model 2 x tiles and 1 negative x tile. 3 plus sign tiles and 2 negative tiles is '12'.

A pair of numbers that add up to zero is referred to as a zero pair. The two numbers must contain both a positive and a negative number, according to the concept of a zero pair.

Combination of all zero pair:

The given data is, 2 x tiles and 1 negative x tile. 3 plus sign tiles and 2 negative tiles.

Rewrite the combinations as below,

[x] [-x]   [+] [-]

[x]         [+] [-]

            [+]

Formation of zero pair combinations:

[x][-x]

[-x][x]

[x][-][x]

[x][+][-][x]

[+][x][+][-][x]

[x][+][-x]

[-][x][x]

[-][x][+][x]

[+][x][+][-x]

[-][-x][-][x]

[-][x][-][-x]

[-][-x][+][-][x]

Therefore, the total number of combinations used for making zero pair are '12'.

To know more about addition and subtraction of negative numbers, here

https://brainly.com/question/4915187

#SPJ2

Answer:

I believe it's 16. sorry if I'm wrong.

Step-by-step explanation:

if 4 inches = 50% than multiply by 2 to get 100% which is 8 inches

Answer:

12.89

Step-by-step explanation:

Answer:

13.38

Step-by-step explanation:

Subtract -0.47 from 13.36 to get ur answer.

TRUST me it works!

Answer:

120 square cm

Step-by-step explanation:

Just times 40 by 3 and that would look like 1:3 (because 40 is the one value)

40:120

1:3

Answer:

c

Step-by-step explanation:

40*3 = 120

Answer:

56 is the answer

Step-by-step explanation:

Answer:

Set up camras get ur proof

Step-by-step explanation:

Answer:

B:9

Step-by-step explanation:

the exponents cancel each other out so you are left with 3^2

3 multiplied by 3 equals 9

Answer:

9

Step-by-step explanation:

When dividing the same base raised to an exponent, you can simply subtract the denominator's exponent from the numerator's.

In this case then, we have 3⁴ / 3², which is exactly the same as 3⁽⁴⁻²⁾, or 3².

Three squared is equal to nine, and that is the answer.

Answer:

Natalie: 12

Fred: 24

Step-by-step explanation:

x= natalie

y= fred

x+y=36

y+4x=72

Let's start by isolating a variable

x+y=36

x-36= -y

-x+36=y

(we do this step because it's important that the y is a negative)

We can plug this into the second equation

-x+36+4x=72

solve for x

3x=36

x=12

Plug in this x value into any of the two beginning equations

12+y=36

y=24

Answer:

Answer is A

Step-by-step explanation:

2/5 x 1/5

2x3=6

5x3=15

1/3

1x5=5

3x5=15

6/15x5/15

6x3=30

30 divided by 15 =2

2/15

Answer: A, B and F are all true

Step-by-step explanation:  Multiplying the fractions, we get the product, 2/15 so A is correct.

When he divides each third into five parts, each of those parts is 1/15 of the whole, so B is correct.

He shades two of those parts is given, so F is correct.

Answer:

Slope Intercept Form is y=2x.

Step-by-step explanation:

Since slope-intercept form is y=mx+b, you need to rewrite 2x-y=0 in Slope-Intercept Form.

First, you want to subtract 2x from both sides. That comes out to -y = (-2x.)

Then, multiply each term by -1. A negative times another negative is a possitive, so -y would become y, and -2x would become 2x, giving you the answer of y=2x.

Answer:

the ratio is 2:3

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

Answer:

(30$+17$)+(65$+10$)=

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. 9/12 and 5/12

2. 80

Answer:

if i had to chose i think it be (B)

Step-by-step explanation:

Answer:

it's D

Step-by-step explanation:

Answer:

this makes no sense

Step-by-step explanation:

Answer:

-54

Step-by-step explanation:

-72+12+6

Answer:

37

Step-by-step explanation:

A manager gives gift cards to every 80th customer. On Saturday, 1210 customers entered, while on Sunday, 1814 customers entered. We are asked to find the number of people who received gift cards.

Consider Saturday:

(1) Probably the most efficient method is to divide 1210 by 80.

(The first gift card was given to the 80th person and 80/80=1. The second to the 160th person and 160/80=2. The third to the 240th person and 240/80=3, etc...)

So 1210 divided by 80 is 15 with a remainder of 10.

15 people received gift cards on Saturday.

(2) We could set up a linear inequality where the unknown x represents the number of people receiving gift cards. Then 80x<1210 and x<15.125 so x=15.

(3) You could just keep adding, perhaps in a table, until you got to the last person:

(# customers, # gift cards): (80,1), (160,2), (240,3)...(1120,14), (1200,15)

The answer will not change, but the manager can either start counting at zero again on Sunday, or continue from the previous day making the first person in on Sunday number 11.

Again we take 1814 divided by 80 to get 22 with a remainder of 54. (With the additional 10 from Saturday we would have remainder 64, but still not enough people to give out another card.)

15 cards given out Sat with 22 cards given out Sun means that there were a total of 15+22=37 people who received gift cards.

Sorry its alot

Answer:

Area of the rectangle is 300, The perimeter is 70.

Step-by-step explanation:

Area = length x width

Area = 20 x 15

Area = 300

Perimeter = 2 x (length + width)

Perimeter = 2 x (20 + 15)

Perimeter = 2 x 35

Perimeter = 70

Answer:

He ran a total of 8.439 miles. Over the three days he ran less than he needed to for his goal, he has to run 0.061 more miles to gain his goal

Step-by-step explanation:

simple! add all of the data numbers and you get a total of 8.439 miles. He has to run 8.5 miles but he does not reach that. he has to run 0.061 miles to gain his goal (8.5-8.439) I hope this helps! (got here as soon as possible)

Answer:

5085

Step-by-step explanation:

113x45= 5085

Answer:

you did not have any money for savings last month

Step-by-step explanation:

Answer:

D

Step-by-step explanation: