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marshall27 [118]
3 years ago
5

Gemma had $2,054 in her checking account. She wrote a check for $584 to pay the rent on her apartment. After the landlord cashed

the check, how much money did Gemma have left in her checking account?
Mathematics
2 answers:
gtnhenbr [62]3 years ago
8 0
This can be solved by subtracting 584 from 2,054.
2,054-584
=1470

Gemma would have $1470 left in her checking account.

Hope this helps!
-Benjamin
jeyben [28]3 years ago
3 0

Answer:

Gemma have left $1,470 in her checking account.

Step-by-step explanation:

Given: Gemma had $2,054 in her checking account. She wrote a check for $584 to pay the rent on her apartment.

To find: After the landlord cashed the check, how much money did Gemma have left in her checking account?

Solution: To find the money Gemma have left in her checking account. After the landlord cashed the check, we need to subtract the amount she pays as the rent on her apartment from the money Gemma had in her checking account.

Gemma had $2,054 in her checking account.

She wrote a check for $584 to pay the rent on her apartment.

So, the amount Gemma have left in her checking account after the landlord cashed the check

=2054-584

=1470

Hence, Gemma have left $1,470 in her checking account.

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zhuklara [117]

Answer:

Slope = \frac{3}{2}

Step-by-step explanation:

Slope = \frac{6}{4} =\frac{3}{2}

4 0
2 years ago
What are the measurements of the sides of a pentagon that has the area of 32?
LenaWriter [7]

Answer:

4.31 units

Step-by-step explanation:

A pentagon is a polygon with five straight sides.

The formula to apply here will be finding area from side length, assuming that this is  a regular pentagon with five sides of equal length.

Lets take each side length to be x units

Divide the pentagon into five triangles by joining a line from the center to any vertex of the pentagon.

Now you have five equal triangle.Take the base triangle and divide it into two(take a line from center of pentagon to hit the base at 90°)

This will divide the base triangle of length x unit into two equal triangles with base length x/2 units.

The angle at the pentagon center for the small formed triangle will be 36°. Here you have a triangle with base x/2 units and angle 36° at top center.

To get the height of the triangle you apply formula for tangent of an angle;

height, h=0.5x /tan 36°

Find area of the small triangle;

Area=1/2 *b*h

where b is base length=0.5x and h is height = 0.5x/tan 36°

Area=1/2*0.5x * (0.5x /tan 36°) Area for one small triangle.

However, you notice that you will have 10 small triangles for the whole pentagon, hence multiply this area by 10 which should be equal to the area of the pentagon given 32.

32=1/2 * 0.5x *(0.5x /tan 36°) *10

32=1.25x² /tan 36°

32*0.7265=1.25x²

18.60=x²

√18.60=x

4.31=x

Measurement of one side is 4.31 units

3 0
3 years ago
A chemist wishes to mix a 30% acid solution with a 65% acid solution to obtain 175 quarts of 55% acid solution . How many quarts
Eva8 [605]

x = quarts of 30% acid solution

y = quarts of 65% solution

x + y = 175

Each quart of the 30% solution contributes 0.30x quarts of acid; similarly, each quart of the 65% solution contributes 0.65y quarts of acid. So

0.3x + 0.65y = 0.55*175 = 96.25

That is, the chemist wants 175 quarts of a new mixture with a 55% concentration of acid, which comes out to 95.25 total quarts of acid. The total amounts of acid from either sides of this equation must balance out.

Now solve for x and y:

x + y = 175  ==>  y = 175 - x

0.3x + 0.65y = 96.25  ==>  0.3x + 0.65(175 - x) = 96.25

==>  0.3x + 113.75 - 0.65x = 96.25

==>  17.5 = 0.35x

==>  x = 50  ==>  y = 125

7 0
2 years ago
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Firlakuza [10]
That is an irrational number
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2 years ago
Sometimes, lenders allow or require a down payment before they extend you the loan. What would be the advantage to the lender.?
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Answer:

The advantage to the lender would be that he’s getting money & if the person doesn’t pay the rest of the price they at least got some money , and the advantage for the borrower is that they can pay the rest later.

Step-by-step explanation:

6 0
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