MATHEMATICS MIDDLE SCHOOL

Angles C and E are supplementary. The M>C = 112 and M>E = (3x + 50) Solve for X.

Answers

Answer 1

Answer:

Answer:

The value of x is 6

Step-by-step explanation:

we know that

If two angles are supplementary, then their sum is equal to 180 degrees

In this problem

m∠C+m∠E=180°

we have

m∠C=112°

m∠E=(3x+50)°

substitute and solve for x

112°+(3x+50)°=180°

3x+162=180

3x=180-162

3x=18

x=6

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solve the system of equations below by graphing both equations with a pencil and paper what is the solution y=2x-4 y=-x+5

Answers

Answer:

The coordinate of the points on the graph as shown , where ( x ,y ) = ( 3 , 2 )

Step-by-step explanation:

Given as :

The two algebraic equation is

y = 2 x - 4 .......A and y = - x + 5 ........B

The given two algebraic equation can be solved by putting the one variable to the other equation

Now , put the value of y from Eq A into the Eq B

I.e 2 x - 4 = - x + 5

or, 2 x + x = 5 + 4

or, 3 x = 9

∴ x = $(9)/(3)$

I.e x = 3

So The value of x = 3

Again, put the value of x in the equation A

I.e y = 2 x - 4

or, y = 2 × 3 - 4

∴ y = 6 - 4

I.e y = 2

So The value of y = 2

So , The coordinate of points on the graph as ( x , y ) = ( 3 , 2 )

Hence The coordinate of the points on the graph as shown , where ( x ,y ) = ( 3 , 2 ) Answer

Answer:

3,2

Step-by-step explanation:

Need help ASAP1) A new truck that sells for $42,000 depreciates 11% each year. write a function that models the value of the truck. Find the value of the truck after 8 years. Round to the nearest dollar.

2) Earl mows lawns one weekend. He earns $15 for each lawn that he mows. He spends $50 on gas and other supplies. What function equation represents Earl's profit from mowing x lawns?

A)f(x)=50x-15
B)f(x)=50x+15
C)f(x)=15x-50
D)f(x)=15+50

3) find the common geometric series.
-2,-4,-8,-16.....

Answers

Answer:

$\boxed{1) V = 40 000(0.89)^(n), \text{\$15 746; }\text{2) C) f(x) = 15x - 50 ; 3) }a_(n) = -2^(n)}$

Step-by-step explanation:

1) Depreciation

The formula for the value V of an asset after depreciation by an annual percentage rate is

V = P(1 - r)ⁿ

where

P = present value

r = annual percentage rate

n = number of years

Data:

V = 40 000

r = 11 % = 0.11

n = 8 yr

Calculations:

(a) Function model

V= 40 000(1 - 0.11)ⁿ = 40 000(0.89)ⁿ

The function model is $\boxed{ V= 40 000(0.89)^(n) }$

(b) Future value

V = 40 000(0.89)ⁿ = 40 000 × 0.393 659 = $15 746

In eight years, the truck will be worth $\boxed{ \text{\$15 476}}.$

2) Profit function

Income from 1 lawn = $15

Income from x lawns = 15x

Less gas and supplies = -50

Net income = 15x – 50

The function is $\boxed{f(x) = 15x - 50}$ .

3) Geometric series

(a) Calculate the common ratio

a₁ = -2

a₂ = -4

a₃ = -8

a₄ = =16

The ratios of consecutive pairs are

a₄/a₃ = -16/(-8) = 2

a₃/a₂ = -8/(-4) = 2

a₂/a₁ = -4/(-2) = 2

All adjacent pairs have the same common ratio r = 2.

(b) Write the formula for the series

The formula for the nth term of a geometric series is

aₙ = a₁rⁿ⁻¹

If a₁ = -2, the formula for the series is

aₙ = -2(2)ⁿ⁻¹ = -2ⁿ

The formula for the series is $\boxed{a_(n) = -2^(n)}$ .

Kim needs to place 32 mystery books and 56 biography books on library shelves. She is to place the maximum number of books on each shelf so that all the shelves have the same number of books. Each shelf will contain only one type of book. Part A:
Determine the number of books to be placed on each shelf.
Part B:
How many shelves will Kim use for each type of book?

Answers

8 books will be on each shelf. There will be 4 shelves for the mystery books and 7 shelves for the biography books.

What is 3.29 as a mixed number

Answers

3.29 into a fraction is 3 29/100
and thats a mixed fraction 3 29/100

Hope this helped! :D

Estimate to the nearest doallar , the total cost $23.45+$3.98+$16.66+$12.08 (answer with suggesting work please)

Answers

Answer:

$56.

Step-by-step explanation:

Given : $23.45+$3.98+$16.66+$12.08

To Find : Estimate to the nearest dollar , the total cost

Solution:

Total cost = $23.45+$3.98+$16.66+$12.08

Total cost = $56.17

So, The total cost = 56.17

Find the place value you want to round off and look to the digit just to the right of it.

If that digit is less than 5, do not change the "rounding digit"

If that digit is greater than or equal to 5, add one to the rounding digit and change all digits to the right of the rounding digit to zero.

So, Now The total cost to nearest dollar is $56.

well all of that equals $56.17 and rounded to the nearest dollar will be...$56.00

Alexander found the means-to-MAD ratio of two data sets to be 3.4.What can he conclude about the distributions?

A.
They are similar.

B.
They are somewhat similar.

C.
They are different.

D.
They are identical.