Find the value of x such that the data set has the given mean.
99, 122, 107, 114, 107, x; mean 114

Answer:

1520/4=380 per month

Step-by-step explanation:

The monthly payments for Anita and Casey are 230 and 150.

"An equation is a formula that expresses the equality of two expressions consisting of variables and/or numbers, by connecting them with the equals sign =."

Assume

Monthly payments for Anita = x

Monthly payments for Casey = y

We have

Anita pays 80 more than Casey does each month.

We can write the equation

x = y + 80

x - y = 80 ...........................(1)

Over the course of 4 months, their combined bill is 1,520.

We can write the equation

4x + 4y = 1520...................(2)

Solving equations (1) and (2) by substituting equation x = y + 80 in equation (2)

⇒4x + 4y = 1520

⇒4(y + 80) + 4y = 1520

⇒4y + 320 + 4y = 1520

⇒8y = 1520-320

⇒8y = 1200

⇒y = [tex]\frac{1200}{8}[/tex]

⇒y = 150

Substitute y = 150 in equation (1)

⇒x - y = 80

⇒x - 150 = 80

⇒x = 80+150

⇒x = 230

Hence, the monthly payments for Anita and Casey are 230 and 150.

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Answer:

The surface area is 12 square yards.

Step-by-step explanation:

Answer:

[tex] \frac{(x - 8) + 4}{(x - 5) + 3} = \frac{4}{3} \\ \frac{x - 4}{x - 2} = \frac{4}{3} \\ 3(x - 4) = 4(x - 2) \\ 3x - 12 = 4x - 8 \\ x = - 4[/tex]

Answer:

B is the correct answer..

Answer:

No, not a probability distribution.

Step-by-step explanation:

It appears that one of the probabilities in the table (-.3) is negative, which is not allowed.

Answer: A, 1/2

Step-by-step explanation:

he is simply using 1 cup of bs for each cup of ws so when you do it its i cup of ws then its hald of 1 bs

Answer:

it is 1/2 i.e. the first option

this is simple ratio method;

white : brown

      2 : 1

       1 : x

x = 1/2 cups

Hope this helps!

I would really appreciate if you mark me brainliest as I have been trying to get there for a veryyy long time now :)

Answer:

multiplication and subtraction

Step-by-step explanation:

4(n-3)

Answer:

r = 28 ft

Step-by-step explanation:

In a right triangle we have:

45² + r² = ( 25 + r )²

2025 + r² = 625 + 50r + r²

1400 = 50r

r = 28 ft

Answer:

56 cm

Step-by-step explanation:

Answer:

No need to spend more than $ 1,000

Step-by-step explanation:

assume the coach needs 10 set

10 set will cover 10×56 = 560 people that more than 453.

so,

the cost is only 10× $99 = $ 990

that less than $ 1,000

Answer:

Fewer  than 10 sets of bleachers are needed. This is because 5610  560​, which is greater than  453. The cost of 10 sets of bleachers would be ​$9910​ $ 990​, which is  less than  ​$1,000. The coach  will not  need to spend more than​ $1,000 for the bleachers.

This question is incomplete, the complete question is;

If 8 people invest $500 each in a stamp collection and after a year the collection is worth $3,800, how much did each person lose? show work​

Answer:

Each person lost $25

Step-by-step explanation:

Given the data in the question;

Number people that invested = 8

Amount each invested = $500

worth after a year the collection = $3,800

Now, the amount each person lost will be;

[tex]Lost_{each-person[/tex] = Total loss / total number of persons

[tex]Lost_{each-person[/tex] = [ ( 500 × 8 ) - 3800 ] / 8

[tex]Lost_{each-person[/tex] = [ 4000 - 3800 ] / 8

[tex]Lost_{each-person[/tex] = 200 / 8

[tex]Lost_{each-person[/tex] = 25

Therefore, each person lost $25

Answer:B

Step-by-step explanation:

just took the test

Answer:

B because you multiply all the similar numbers together then at the end you add them all up.Step-by-step explanation:

Answer:

i cant read half the stuff on the paper

bye

Answer:

C

Step-by-step explanation:

(2x+3)(x+4) = 2x² + 8x + 3x + 12

                  = 2x² + 11x + 12     ≠  2x² + 10x + 12

Answer:

y=1/2x-3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-7-(-1))/(-8-4)

m=(-7+1)/-12

m=-6/-12

m=1/2

y-y1=m(x-x1)

y-(-1)=1/2(x-4)

y+1=1/2x-4/2

y=1/2x-2-1

y=1/2x-3

Answer:

I dont know how to write the answer but i hope my math helped.

Step-by-step explanation:

192 divided by 32 is 6 so it will take Cameron a total of 6 weeks to get is pictures.

Answer:

32x>192

Step-by-step explanation:

I'm not 100% sure, but if you said you needed an inequality the money could be more than 192. So if you have $32 per week (x) is greater than 192 and solve, Camerson could work 6 weeks OR greater. I hope this helps :)

Answer:

Step-by-step explanation:

To fins this you need to find the other side. To do this you need to do 3 squared plus 5 squared and find the square root of the product. That is about 5.8.

Then you need to do 10 squared plus 5.8 squared, which is 133.6, then find the square root of that, which is 11.6 .

Answer: 9.8 ft

Step-by-step explanation: did on delta math:)

Answer:

9.8 ft

Step-by-step explanation:

(attached images) source: deltamath

9514 1404 393

Answer:

  1/6

Step-by-step explanation:

16 2/3% = (16 2/3)/100 = (50/3)/100 = 50/300 = 1/6

Answer:

n= 2x-5

Step-by-step explanation:

The Expression for the statement is x= 2y -5.

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Given:

A number is five less than twice another number.

let the number be x and the another be y.

So, the mathematical Expression is

five less than twice another number.

= 2y -5

So, the expression is

x= 2y -5.

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Answer:

Step-by-step explanation:

Hope it helps u!!

The values of x are 7) 155°, 8) 90°, 9) 140° and 10) 20°.

Polygons are closed figures which has at least three set of line segments joined together.

The polygon with least number of sides is triangle.

7) It is a polygon with 4 sides (quadrilateral)

Sum of the interior angles of a quadrilateral = 360°

45° + 65° + 95° + x = 360°

x = 360° - (45° + 65° + 95°)

x = 155°

8) Sum of the interior angles of a polygon = (n - 2)180°, where n is the number of sides.

There are 6 sides.

Sum of the interior angles = (6 - 2)180° = 720°

x + 140 + 130 + 120 + 90 + 150 = 720

x = 90°

9) n = 5

Sum of the interior angles = (5 - 2) 180° = 540°

2x + 90 + 100 + 70 = 540

2x = 280

x = 140°

10) Sum of the exterior angles of a polygon is 360°.

4x + x + 98 + 162 = 360

5x = 100

x = 20°

Hence the values of x are found.

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Answer:

On day 5, he should be able to do 11

Step-by-step explanation:

Day 1 - 3

Day 2 - 5 (2 more than day before)

Day 3 - 7 (2 more than day before)

Day 4 - 9 (2 more than day before)

Following this pattern of +2, day 5 should be 11.

that's my thought process, so I hope it works

Answer:

-8 yd. lost in football

Step-by-step explanation:

$972.84 is invested in total after 1 year.

Correct option is (D)

Compound interest is generally understood to be interest that is earned on both the original investment and any subsequent interest. Compound interest is, thus, the interest earned on both the initial principal and the interest that has already been accrued on this principal.

As per the given data:

Compounding frequency (n) = 12

Final value (FV) = $1000

Time period (t) = 12 months = 1 year

[tex]FV = P(1+\frac{r}{n})^{nt}[/tex]

FV – Future worth of the investment is the final balance in our calculation.

P – Initial balance (the value of the investment);

r – Annual interest rate (in decimal);

n – Number of times the interest is compounded per year (compounding frequency); and

t – Numbers of years the money is invested for.

Substituting the given values

[tex]1000 = P(1+\frac{0.06}{12})^{12 \times 1}[/tex]

[tex]P = \$ 972.84[/tex]

Hence, $972.84 is invested in total after 1 year.

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Answer:

Step-by-step explanation:

1.) 6

2.) A

3.)5

Answer:

B

Step-by-step explanation:

A is correct because [tex]log_5(12)[/tex] was added on both sides, which is supported by the Additive Property of Equality

C is correct because the Quotient Property of Logarithms states that [tex]log_bM-log_bN=log_b(\frac{M}{N} )[/tex]

   so [tex]log_5(x)-log_5(12)=log_5(\frac{x}{12} )[/tex] is correct

D is correct because using the fact that [tex]log_5x=log_512[/tex] it is easy to figure out that x=12

For B, there is no property supporting that statement.

Answer:

answer: its c 108

Step-by-step explanation:

for the rectangles I just did base x height for all of them and got 24, 32, and 40 then I do the two triangles for those its just base x height ÷ 2 So 4 x 3 = 12 then I divide that by 2 and get 6 but since there's two of those triangles I multiply by 2 and end up with twelve again then I add all of these numbers up so...

24 + 32 + 40 + 12 = 108 Hope this makes sense to you!

Answer:

8a) false

8b) true

8c) true

8d) false