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3 years ago

Plz help! I’m tired and can’t think of the answer!

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Mathematics

1 answer:

Leokris [45]3 years ago

5 0

$\frac{24 + 4x}{10 + x} = 3 \\ \\ 24 + 4x = 30 + 3x \\ \\ 4x - 3x = 30 - 24 \\ \\ x = 6$

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A chemist wants to mix a solution of 20% chlorine with a solution of 60% chlorine to make 120 liters of 30% solution of chlorine

Mama L [17]

Answer:

90 and 30 liters

Step-by-step explanation:

1) if solution of 20% is 'x' and of 60% is 'y' liters, then

2) the pure chlorine is: for solution of 20% - 0.2x, for solution of 60% - 0.6y and

3) the mix of the two solutions is 120=x+y.

4) using these items it is possible to make up the system of two equations:

$\left \{ {{x+y=120} \atop {0.2x+0.6y=0.3(x+y)}} \right.$

5) finally, x=90 liters of 20%; y=30 liters of 60% solution.

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2 years ago

How to write 32,005,008 in expanded form?

Anna [14]

32,005,008 = 30,000,000 + 2,000,000 + 5,000 + 8

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3 years ago

Drag the tiles to the correct boxes to complete the pairs.

Ne4ueva [31]

Answer:

Part 1) $-1.25$ -------> $2.75/(-2.2)$

Part 2) $-4\frac{1}{3}$ --------> $(-2\frac{3}{5}) / (\frac{3}{5})$

Part 3) $\frac{2}{3}$ ------> $(-\frac{10}{17}) / (-\frac{15}{17})$

Part 4) $3$ ------> $(2\frac{1}{4}) / (\frac{3}{4})$

Step-by-step explanation:

Part 1) we have

$2.75/(-2.2)$

To calculate the division problem convert the decimal number to fraction number

$2.75=275/100\\ -2.2=-22/10$

$(275/100)/(-22/10)$

Remember that

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

$(275/100)/(-22/10)=(275/100)*(-10/22)=-(275*10)/(22*100)=-(275)/(220)$

Simplify

Divide by 22 both numerator and denominator

$-(275)/(220)=-125/100=-1.25$

Part 2) we have

$(-2\frac{3}{5}) / (\frac{3}{5})$

To calculate the division problem convert the mixed number to an improper fraction

$(-2\frac{3}{5})=-\frac{2*5+3}{5}=-\frac{13}{5}$

$(-\frac{13}{5}) / (\frac{3}{5})$

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

$(-\frac{13}{5}) / (\frac{3}{5})=(-\frac{13}{5})*(\frac{5}{3})=-\frac{13*5}{5*3}=-\frac{13}{3}$

Convert to mixed number

$-\frac{13}{3}=-(\frac{12}{3}+\frac{1}{3})=-4\frac{1}{3}$

Part 3) we have

$(-\frac{10}{17}) / (-\frac{15}{17})$

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

$(-\frac{10}{17}) / (-\frac{15}{17})=(-\frac{10}{17})*(-\frac{17}{15})=\frac{10*17}{17*15}=\frac{10}{15}$

Simplify

Divide by 5 both numerator and denominator

$\frac{10}{15}=\frac{2}{3}$

Part 4) we have

$(2\frac{1}{4}) / (\frac{3}{4})$

To calculate the division problem convert the mixed number to an improper fraction

$(2\frac{1}{4})=\frac{2*4+1}{4}=\frac{9}{4}$

$(\frac{9}{4}) / (\frac{3}{4})$

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

$(\frac{9}{4}) / (\frac{3}{4})=(\frac{9}{4})*(\frac{4}{3})=\frac{9*4}{4*3}=\frac{9}{3}=3$

8 0

3 years ago

You are at the store you buy a jacket that is regularly priced at $84 it is on sale for 30% off. When you take it up to the cash

Zepler [3.9K]

$63.54 is the price after the discount and tax

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3 years ago

Which value is a solution to the inequality x – 4 > 15.5?

Alex Ar [27]

Answer:

x>19.5

Step-by-step explanation:

Let's solve your inequality step-by-step.

x−4>15.5

Step 1: Add 4 to both sides.

x−4+4>15.5+4

x>19.5

Answer:

x>19.5

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3 years ago