MATHEMATICS MIDDLE SCHOOL

i need help with a math problem it says solve for t: -3(t - 2) + 7t=9t-9 can you show all the work please​

Answers

Answer 1
Answer:

Answer:

t = 3

Step-by-step explanation:

Given

- 3 (t - 2) + 7t = 9t - 9 ← distribute left side and simplify

- 3t + 6 + 7t = 9t - 9

4t + 6 = 9t - 9 ( subtract 9t from both sides )

- 5t + 6 = - 9 ( subtract 6 from both sides )

- 5t = - 15 ( divide both sides by - 5 )

t = 3
Answer 2
Answer:

Answer:

t = 3.

Step-by-step explanation:

-3(t - 2) + 7t = 9t - 9   Distribute the -3 over the parentheses:

-3t + 6 + 7t = 9t - 9     Subtract  9t from both sides:

-3t - 9t + 7t + 6 = -9    Subtract 6 from both sides:

-3t - 9t + 7t = -9 - 6  

-5t = -15

t = -15/-5

t = 3 (answer).

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What is the difference of the two polynomials?

(9x2 + 8x) – (2x2 + 3x)

Answers

Answer:

(9x² + 8x) - (2x² + 3x)

= 7x² + 5x

Step-by-step explanation:

(9x² + 8x) - (2x² + 3x)

open the bracket

= 9x² + 8x - 2x² - 3x

collect like terms

= 9x² - 2x² + 8x - 3x

= 7x² + 5x
(9x^2+8x)-(2x^2+3x)
9x^2+8x-2x^2-3x
7x^2+5x

the common ratio of a geometric series is 3 and the sum of the first 8 terms is 3280. what is the first term of the series?

Answers

Answer: 1

Step-by-step explanation:

The formula for calculating the sum of a Geometric series if the common ratio is greater than 1 is given as :

S_(n) = (a(r^(n)-1) )/(r-1)

Where S_(n) is the sum of terms , a is the first term , r is the common ratio and n is the number of terms.

From the question:

S_(n) = 3280

a = ?

r = 3

n = 8

Substituting this into the formula , we have

3280 = (a(3^(8)-1) )/(3-1)

3280 = (a(6561-1))/(2)

Multiply through by 2 , we have

6560 = a ( 6560)

divide through by 6560, we have

6560/6560 = a(6560)/6560

Therefore : a = 1

The first term of the series is thus 1

Answer:

1

Step-by-step explanation:

Amanda, Bryan, and Colin are in a book club. Amanda reads twice as many books as Bryan per month and Colin reads 4 fewer than 3 times as many books as Bryan in a month. In 4 months the number of books Amanda reads is equal to 5/8 the sum of the number of books Bryan and Colin read in 4 months. How many books does each person read each month?

Answers

A=2bC=3b-4. A=5/8x4 = b+cx4If Brian read let's say 3 books a month then amanda reads 6 and Collin reads 5So the answer would be B= Brian's books. A= Amanda's books and c= Collins booksSo a=2xbB=bC=(3b)-4

Line l has a slope of...

Answers

Hey there! :)

Answer:

Option C.

Step-by-step explanation:

A perpendicular line to 2/3 will be the reciprocal and negative of this fraction. Therefore:

Slope of perpendicular line = -3/2.

Remember, the equation for solving for the slope is:

m = \frac{\text{rise}}{\text{run}} = (y_2 - y_1)/(x_2 - x_1)

We must find points that when plugged into this equation, equal to -3/2.

Plugging in the points in option A:

(2)/(3) \neq (-3)/(2)

Option B:

(3)/(4) \neq (-3)/(2)

Option C: This is the correct answer.

(-3)/(2) = (-3)/(2)

Option D:

(2)/(10)\neq (-3)/(2)
Hi the answer is c. Hope this helped:)

Plz show your work !!2 paper clips weigh about  1 gram.
1 nickel weights about  5 grams
200 nickels weigh about 1000 grams or 1 kilogram.

1.) There are 100 paper clips in a box. How many grams would a box of paper clips weigh?
It would weight ____________ grams.

2.) There are 20 boxes of paper clips in a carton. How many grams would a carton of paper clips weigh?
The carton would weigh ___________ grams.

3.) How many grams would a roll of 40 nickels weigh?
The roll would weigh _____________ grams

4.) How many nickels would weigh 5 kilograms?
____________ nickels would weigh 5 kilograms.

5.) A truck is hauling 6 crates. Each crate weighs 35 kilograms. How much do all the crates weigh?
They weigh ___________ kilograms.

Answers

1) 50g
2)1000g
3)200g
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