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3 years ago

What is the value of x in the equation 5(4x-10)+10x=4(2x-3)+2(x-4) ?

2 answers:

6 0

5(4x - 10) + 10x = 4(2x - 3) + 2(x - 4)
20x - 50 + 10x = 8x - 12 + 2x - 8
30x - 50 = 10x - 20
30x - 10x = -20 + 50
20x = 30
x = 3/2 <==

PilotLPTM [1.2K]3 years ago

3 0

Answer:

$\frac{3}{2}$

Step-by-step explanation:

Here, the given expression is,

$5(4x-10)+10x=4(2x-3)+2(x-4)$

By distributive property,

$20x - 50 + 10x = 8x - 12 + 2x - 8$

By combining like terms,

$30x -50=10x-20$

Adding 50 on both sides,

$30x=10x-20+50$

$30x = 10x + 30$

Subtracting 10x on both sides,

$20x = 30$

Divide both sides by 20,.

$x=\frac{3}{2}$

Hence, LAST option is correct.

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Andy has 31 coins made up of quarters and half dollars, and their total value is $11.00. How many quarters does he have?

charle [14.2K]

Answer:

Step-by-step explanation:

This situation has two unknowns - the total number of half dollars and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.

h+q=31 is an equation representing the total number of coins
0.50h+0.25q=11 is an equation representing the total value in money based on the number of coin. 0.50 and 0.25 come from the value of a half dollar and quarter individually.

We write the first equation in terms of q by subtracting it across the equal sign to get h=31-q. We now substitute this for h in the second equation.

0.50(31-q)+0.25q=11

15.5-0.50q+0.25q=11

15.5-0.25q=11

After simplifying, we subtract 15.5 across and divide by the coefficient of q.

-0.25q=-4.5

q=4

We now know of the 31 coins that 4 are quarters.

3 0

3 years ago

The The geometrics decide to play a concert in the gym. The gym measures 100 feet long by 60 feet wide by 30 feet tall. The band

hammer [34]

So what you do is multiply 60, 30, and 100 together to get 180,000. Then divide 180,000 by 18,000 (simplify it to 180 ÷ 18) and the answer is 10. So they could turn it up 10 notches.

7 0

3 years ago

How many 4/5 cup servings in 8 cups

Molodets [167]

To solve this question, we use simple division:
$\frac{8}{ \frac{4}{5} } = 8* \frac{5}{4} = \frac{40}{4} = 10$

So, there are 10 servings of 4/5 of a cup in 8 cups.

5 0

3 years ago

Read 2 more answers

Which expression is equivalent to:1/m6

Valentin [98]

Answer:

Step-by-step explanation:

6 is a power. So both C and D are wrong because 6 is being treated as an ordinary integer.

So the answer must be either A or B.

B is not correct because to move an expression from the denominator to the numerator changes the sign in the base (which is m in this question).

A is correct. the power is changed from 6 in the denominator to -6 in the numerator. m is shifted to the numerator as well.

8 0

2 years ago

Multiply and simplify: –3x2y2 • x4 –3x5y2 9x5y2 –3x6y2 –3x5y6

Contact [7]

Answer:

Multiplying and simplifying the term $-3x^2y^2 \:.\: x^4$ we get $\mathbf{-3x^6y^2}$

Option C is correct option.

Step-by-step explanation:

We need to multiply and simplify: $-3x^2y^2 \:.\: x^4$

Simplifying the term:

$-3x^2y^2 \:.\: x^4$

While multiplying, the variables with same bases are multiplied: $a^m\:.\:a^n=a^{m+n}$

In the given question only x^2 and x^4 are variables with same bases, So we get:

$=-3(x^{2+4})y^2\\=-3x^6y^2$

So, multiplying and simplifying the term $-3x^2y^2 \:.\: x^4$ we get $\mathbf{-3x^6y^2}$

Option C is correct option.

4 0

3 years ago