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Phantasy [73]
3 years ago
12

5х + 10 = 24 + 6x – 3х​

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
5 0

Answer:

Here, 5x + 10 = 24 + 6x - 3x

or, 5x  + 10 = 24 + 3x ( 6x-3x )

or, 5x - 3x = 24 - 10

or, 2x = 14

or, x = 14/2

Hence answer is 7.

You might be interested in
Add and Subtract Rational Expressions with a Common Denominator
Sladkaya [172]

Answer:

\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{q^2+9}{q^2+6q+5}

Step-by-step explanation:

<u>Simplifying Rational Expressions</u>

If two or more rational expressions have the same denominator, the add and subtract operations are done only with the numerator. The final denominator will be the common of both.

The expression is:

\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}

Operating on the numerators:

\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{4q^2-q+3-(3q^2-q-6)}{q^2+6q+5}

Removing parentheses:

\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{4q^2-q+3-3q^2+q+6}{q^2+6q+5}

Simplifying:

\boxed{\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{q^2+9}{q^2+6q+5}}

The expression cannot be further simplified.

7 0
3 years ago
Jean bought a $1,980 snow thrower on the installment plan. The installment agreement included a 10% down payment and 18 monthly
enyata [817]

Answer:

Jean paid $2,286 for the snow thrower, with a finance charge of $306.

Step-by-step explanation:

Given that Jean bought a $ 1,980 snow thrower through an initial payment of 10% of the initial value, and 18 monthly payments of $ 116, to determine the final price paid by Jean, the following calculation is required:

(1,980 x 0.1) + (18 x 116) = X

198 + 2,088 = X

2,286 = X

Therefore, the final price paid for Jean was $ 2,286.

In turn, the finance charge arises from the difference between the final price and the list price, that is:

2,286 - 1,980 = X

306 = X

Thus, the finance charge is $ 306.

8 0
3 years ago
Bart uses 3/12 cup milk to make muffin. Write a fraction that is equivalent to 3/12
vichka [17]
Your fraction that is equal to 3/12 is 1/4
8 0
3 years ago
May you please help me figure out every angle?​
djyliett [7]

Answer:

<D = 82°

<E = 49°

<F = 49°

Step-by-step explanation:

This is an isosceles triangle because two of the sides are the same length which means the 2 bottom angles are the exact same which means we can set them equal to each other to solve for it.

8 0
3 years ago
An online shopping club has 10,000 members when it charges $7 per month for membership. For each $1 monthly
Sonja [21]

Answer:

The function that can be used in the online shopping club about its monthly revenue is:

R = -400x^{2} +7200x+70000

Step-by-step explanation:

First, we're gonna take into account the different values we have in the exercise:

  1. 10,000 members
  2. $7 per month for membership
  3. Loses of 400 members by each $1 monthly increase

How the variable x represents the price increase, we can do the formula below:

  • (10000 - 400x) * (7+x)

In this formula, we represent in the first part that by each 1 in the variable x, the total of members will be reduced in 400, in the second part, we mention that at the same time, the membership fee will be increased in the same value of x. Now we must simplify this function:

  • (10000 - 400x) * (7+x)

We operate the values:

  • 70000+10000x-2800x-400x^{2}

Solve we can:

  • 70000+7200x-400x^{2}

And organize:

  • -400x^{2} +7200x+70000

At the end, how R represents the monthly revenue received by the club, we use that variable for our formula:

  • R=-400x^{2} +7200x+70000

4 0
3 years ago
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