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3 years ago

Angelica had 8 more pairs of shoes than her mom. Together they have 30 pairs of shoes. How many pair of shoes does each one have

Mathematics

1 answer:

MAVERICK [17]3 years ago

5 0

Answer:

The answer to your question is Angelica 19, her mom = 11

Step-by-step explanation:

Data

Angelica has 8 more than her mother

total number of shoes = 30 pairs

The Number of pairs Angelica has = a = ?

The Number of pairs her mother has = m = ?

Process

1.- Write two equation that help to solve this problem

a = m + 8 Equation l

a + m = 30 Equation ll

2.- Solve the system of equations by substitution

Substitute equation l in equation ll

(m + 8) + m = 30

-Solve for m

m + 8 + m = 30

2m = 30 - 8

2m = 22

m = 22/2

m = 11

3.- Find a

a = 11 + 8

a = 19

4.- Conclusion

Angelica has 19 pairs of shoes and her mom has 11

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Each of the 6 cats in a pet store was weighed. what is the mean and median weights of these cats. 9, 8, 14, 12, 5

tresset_1 [31]

Mean= 9+8+14+12+5+14 divided by 6
which gives you 62 divided by 6
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2 years ago

A 56-foot piece of siding is cut into three pieces so that the second piece is twice as long as the first piece and the third pi

ELEN [110]

The lengths of the first, second and third piece are respectively 8 ft, 16 ft and 32 ft

<h3>How to solve Algebra word Problems?</h3>

Let the length of the first piece be x.

Let the length of the second piece be 2x

Let the length of the thrid piece be 4x

Since the total length of the piece is 56 ft, then we can say that;

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x = 56/7

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Thus, length of first piece = 8 ft

Length of second piece = 2 * 8 = 16 ft

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Thus, the lengths of the first, second and third piece are respectively 8 ft, 16 ft and 32 ft

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2 years ago

On Monday, Lou drives his ford escort with 28-inch tires, averaging x miles per hour. On Tuesday, Lou switches the tires on his

weeeeeb [17]

Answer:

$\% Change = \frac{|28-32|}{32} *100 = 12.5\%$

(B) Decrease by 12.5%

Step-by-step explanation:

For this case we know that the revolution is proportional to the circumference.

And we know that the average number of revolutions of 32 inch tires for Tuesday is higher than the original value of 28 inch tires for Monday.

We know that we have x mi/hr, so we can select a value fo x in order to find the average revolutions with the following formula:

$Avg = \frac{x}{mi}$

Let's say that we select a value for x for example x= 28*32 = 896, since this value is divisible by 32 and 28.

If we find the average revolutions per each case we got:

Tuesday:

$Avg = \frac{896}{32}=28$

Monday:

$Avg = \frac{896}{28}=32$

And then we can find the % of change like this:

$\% Change= \frac{|Final-Initial|}{Initial} *100$

And if we replace we got:

$\% Change = \frac{|28-32|}{32} *100 = 12.5\%$

Because we are assuming that the initial amount is the value for Monday and the final value for Tuesday.

So then the best answer for this case would be:

(B) Decrease by 12.5%

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3 years ago

after every 9th visit to a restaurant you receive a free beverage after every 12th visit you receive a free appetizer if you vis

Fed [463]

100th visit this is easy

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2 years ago

Does the expression 1.016x repersent a percent increase greater than 12% if the original amount is x? Rewrite the expression as

jeyben [28]

Let
x---------> the original amount

we know that
<span>a percent increase of 12% of x is
x*[100%+12%]/100------> x*[112]/100----> x*1.12

</span>1.016x
x*[100%+1.6%]/100------> x*[101.6%]/100---> 1.016x
so
1.016x-------> represent a percent increase of 1.6% of x

so

the answer is
1.016x is not a percent increase greater than 12%

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2 years ago