All categories

3 years ago

Solution to 7(y-3) =2(y-9) +2y

Mathematics

1 answer:

dolphi86 [110]3 years ago

4 0

<h3><u>The value of y is equal to 1.</u></h3>

7(y - 3) = 2(y - 9) + 2y

Distributive property.

7y - 21 = 2y - 18 + 2y

Combine like terms.

7y - 21 = 4y - 18

Subtract 4y from both sides.

3y - 21 = -18

Add 21 to both sides.

3y = 3

Divide both sides by 3.

y = 1

You might be interested in

Given the polynomial 21x 4 + 3y - 6x 2 + 34 What polynomial must be subtracted from it to obtain 29x 2 - 7 ? What polynomial mus

fredd [130]

Answer:

1. 21x⁴+3y-35x² + 41

2. -21x⁴-3y+6x² + x

Step-by-step explanation:

When adding and subtracting polynomials , you can use the distributive property to add or subtract the coefficients of like terms.

1. The polynomial is 21x⁴ + 3y -6x² + 34

To obtain polynomial 29x² -7 , we must subtract some polynomial from it.

Let that polynomial be k.

So, 21x⁴ + 3y -6x² + 34 - k = 29x² -7

k = 21x⁴ + 3y - 6x² +34 - 29x² +7 = 21x⁴ + 3y - 35x² + 41

2. To obtain a first degree polynomial, let that polynomial be x +34

So, 21x⁴ + 3y - 6x² + 34 + K = x + 34

K = x + 34 - 21x⁴ -3y + 6x² - 34

= -21x⁴ - 3y + 6x² + x

6 0

3 years ago

There are fifteen teams in a high school baseball league. How many different orders of finish are possible for the first four p

ankoles [38]

There are 32,760 different orders for the first four positions.

This is a permutation where repetition is not allowed; the formula for that is:

$_nP_r=\frac{n!}{(n-r)!}$

For our problem, we have:
$_{15}P_4=\frac{15!}{(15-4)!}=\frac{15!}{11!}=32760$

3 0

3 years ago

A number is divisible by 3 if the sum of the digits is divisible by 3 true or false

shtirl [24]

ANSWER:
It is true as the divisibility rule of three says -
WE HAVE TO ADD ALL THE DIGITS OF THE NUMBER AND IF THAT SUM IS DIVISIBLE BY THREE THEN THE PARTICULAR NUMBER IS DIVISIBLE BY THREE.
EXAMPLE 2+7=9 and 3*3=9
HOPE IT HELPS!!!!
PLEASE MARK BRAINLIEST!!!!

8 0

3 years ago

What is the rate of change in decimal form for the points (1,5) (0,-3)

seraphim [82]

Answer:

The rate of change between (1, 5) and (0, -3) would be 8.0.

Step-by-step explanation:

"What is the rate of change between these two points" is the same as asking "what is the slope between these two points".

We are given the two points (1, 5) and (0, -3) and we are asked to find the rate of change (slope) between these two points. To do this, we could use the slope formula to find the rate of change between the two points. The slope formula is:

$\frac{y_2-y_1}{x_2-x_1}$

where (x₂, y₂) and (x₁, y₁) are the two points that we are trying to find the slope between.

Lets make (x₂, y₂) = (1, 5) and (x₁, y₁) = (0, -3). (It does not matter which is (x₂, y₂) and which is (x₁, y₁)). Now plug (x₂, y₂) = (1, 5) and (x₁, y₁) = (0, -3) into the equation:

$\frac{5-(-3)}{1-0} =\frac{8}{1}=8$

8 = 8.0, so the answer would be 8.0.

The rate of change between the two points would be 8.0.

I hope you find my answer helpful. :)

3 0

3 years ago

the 8th grade class planned a trip to kings dominion and 120 students went. Ten students rode with their parents. The rest rode

Papessa [141]

120-10=110/2=55 students per bus

5 0

4 years ago

Read 2 more answers