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2 years ago

-11x - 72 = 84 + x And I also need to do the check part

Mathematics

1 answer:

Montano1993 [528]2 years ago

6 0

Answer:

Step-by-step explanation:

-11x - 72 = 84 + x

combine like terms on opposite side of =

(-11x )+ (-1x) = (84) + (72)

-12x = 156

divide both sides by -12 to isolate x

-12/-12 = 156/-12

x = -13

insert (-13) for x

(-11 * -13) -72 = 84 + (-13)

71 = 71

equality means its right

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Find the GCF of 44 and 66

NISA [10]

The factors of 44 are: 1, 2, 4, 11, 22, 44

The factors of 66 are: 1, 2, 3, 6, 11, 22, 33, 66

Then the greatest common factor is 22.

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2 years ago

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A jar of quarters and dimes has total value of $20.70. The jar has 10 more quarters than dimes. To find the numbers of quarters

lakkis [162]

There are 62 quarters and 52 dimes in the jar.

Step-by-step explanation:

Given,

Worth of jar coins = $20.70 = 20.70*100 = 2070 cents

1 Quarter = 25 cents

1 Dime = 10 cents

Let,

Number of quarters = x

Number of dimes = y

According to given statement;

25x+10y=2070 Eqn 1

x=y+10 Eqn 2

Putting value of x from Eqn 2 in Eqn 1

$25(y+10)+10y=2070\\25y+250+10y=2070\\35y=2070-250\\35y=1820\\$

Dividing both sides by 35

$\frac{35y}{35}=\frac{1820}{35}\\y=52$

Putting y=52 in Eqn 2

$x=52+10\\x=62$

There are 62 quarters and 52 dimes in the jar.

Keywords: linear equation, substitution method

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3 years ago

Use P E M D A S to solve this number problem.

eimsori [14]

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2 years ago

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The Bureau of Labor Statistics1 in the US tells us that, in 2010, the unemployment rate for high school graduates with no colleg

mars1129 [50]

Answer:

$p_1 -p_2 = 0.097-0.052 = 0.045$

So then the difference between the two proportions is 0.045 and if we convert this into % we got

$0.045*100= 4.5%$

Step-by-step explanation:

For this case we can define the following notation:

$p_1$ represent the unemployment rate for high school graduates with no college degree

$p_2$ represent the unemployment rate for college graduates with a bachelor's degree

And for this case we need to find the difference in proportions of those unemployed between these two groups, we want to find:

$p_1 -p_2$

From the info given we have $p_1 = \frac{9.7}{100}=0.097$

$p_2 = \frac{5.2}{100}=0.052$

And the difference:

$p_1 -p_2 = 0.097-0.052 = 0.045$

So then the difference between the two proportions is 0.045 and if we convert this into % we got

$0.045*100= 4.5%$

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3 years ago

What is 8 1/5 as a improper fraction

krek1111 [17]

Answer:

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Step-by-step explanation:

So the answer is that 8 1/5 as a decimal is 8.2.

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