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3 years ago

If the mean of x and 4x is 10, the x = ?

2 answers:

7 0

$\dfrac{x+4x}{2}=10\\\\\dfrac{5x}{2}=10\ \ \ \ |multiply\ both\ sides\ by\ 2\\\\5x=20\ \ \ |divide\ both\ sides\ by\ 5\\\\\boxed{x=4}$

Tom [10]3 years ago

4 0

Divide the 10 by 4, which makes the x be 2.5. You can check it by multiplying 4 by 2.5, which will give you 10.

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Three consecutive odd integers have a sum of 27. Find the integers.

jek_recluse [69]

$\sf \bf {\boxed {\mathbb {GIVEN:}}}$

Sum of three consecutive odd integers = $27$

$\sf \bf {\boxed {\mathbb {TO\:FIND:}}}$

The values of the three integers.

$\sf \bf {\boxed {\mathbb {SOLUTION:}}}$

$\sf\purple{The\:three\:consecutive \:odd\:integers\:are\:7,\:9\:and\:11.}$

$\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}$

Let us assume the three consecutive odd integers to be $x$ , $(x+2)$ and $(x+4)$ .

As per the condition, we have

$Sum \: \: of \: \: the \: \: three \: \: consecutive \: \: odd \: \: integers = 27$

$➺ \: x + (x + 2) + (x + 4) = 27$

$➺ \: x + x + 2 + x + 4 = 27$

Now, collect the like terms.

$➺ \: (x + x + x) + (2 + 4) = 27$

$➺ \: 3x + 6 = 27$

$➺ \: 3x = 27 - 6$

$➺ \: 3x = 21$

$➺ \: x = \frac{21}{3} \\$

$➺ \: x = 7$

Therefore, the three consecutive odd integers whose sum is $27$ are $\boxed{ 7 }$ , $\boxed{ 9 }$ and $\boxed{ 11 }$ respectively.

$\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}$

$⇢ 7 + 9 + 11 = 27$

$⇢ 27 = 27$

⇢ L. H. S. = R. H. S.

$\sf\blue{Hence\:verified.}$

$\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}$

4 0

3 years ago

Solve for x. -3.5x = -35

r-ruslan [8.4K]

Answer:

$- 3.5x = - 35 \\ x = \frac{ - 35}{ - 3.5}( - \div - = + ) = \frac{35}{35 \times .1} \\ = \frac{1}{.1} = 10 \\ x = 10 \\ thank \: you$

7 0

3 years ago

Read 2 more answers

A rectangular game board measures 126 centimeters by 90 centimeters. The game board is divided into small squares of equal size.

Ivahew [28]

The area of your game board is = 126 * 90 = 11340 cm^2;
A small suares has x^2 his area; where x measure his length;

Prime factorization

11340 | 2
5670 | 2
2835 | 5
567 | 3
189 | 3
63 | 3
21 | 3
7 | 7
1

11340 = 2^2 * 3^4 * 5 * 7 = 2^2 * ( 3^2 ) ^ 2 * 5 * 7 = 18^2 * 5 * 7

We observ that the possible length of the side is 18( we have 35 small squares ).

8 0

4 years ago

Anna can buy 3 sweatshirts for a total of $45.How much would it cost if she were to buy 5 sweatshirts at same price?

Lelechka [254]

Answer: Anna could buy 5 sweatshirts for $75.

Step-by-step explanation:

lets figure out the price of one sweatshirt.

45/3 = 15

one sweatshirt is $15

5*15=75

so 5 sweatshirts cost $75

5 0