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Mumz [18]
2 years ago
13

Lacey is attending a university where the cost for one year is $10,500. She has a scholarship worth $6,000 and a grant worth $90

0. She earns $45 a day at her job. How many days does she need to work to pay for 50% of the remaining amount?
Mathematics
1 answer:
Alexus [3.1K]2 years ago
7 0
She needs to work 40 days. $10,500 - $6,900 = $3,600. Half of this is $1800, so then we set up an equation. If d represents days, the 45d = $1800. Divide each side by 45 to isolate the variable. $1800 divided by 45 gives us 40 days (d = 40).
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Marge cut 16 pieces of tape for mounting pictures on posterboard each piece of tape is 3/8 inches long how much tape did Marge u
daser333 [38]

Answer:

6 inches of tape

Step-by-step explanation:

To find the total amount of tape that Marge used, you can take the measure of each piece (\frac{3}{8}) and multiply by the total number of pieces cut (16):

\frac{3}{8}*\frac{16}{1}=\frac{48}{8}=6inches

So, Marge used 6 inches of tape altogether.

7 0
2 years ago
Which of the following options is an equivalent function to f(x) = 4(3)2X?
Paha777 [63]

Answer:

f(x)=4(6x)

Step-by-step explanation:

Given:

the given expression is.

f(x)=4(3)2x

Simplify the given expression.

f(x)=4(3)2x

f(x)=4(3\times 2x)

f(x)=4(6x)

Therefore, the option f(x)=4(6x) is an equivalent function to f(x)=4(3)2x.

8 0
2 years ago
1. Three friends pooled their money to purchase a new game system that costs $298. One person
iragen [17]

Answer:

First person: $107

Second person: $98

Third person: $93

Step-by-step explanation:

Let be "f" the amount of money (in dollars) that the first person contributed to the purchase, "s" the amount of money (in dollars) that the second person contributed to the purchase and "t" the amount of money (in dollars) that the third person contributed to the purchase.

With the information given in the exercise, you can set up the following equations:

Equation 1 → f+s+t=298

Equation 2 → s=f-9

Equation 3 → t=f-14

Substitute the Equations 2 and 3 into the Equation 1 and then solve for "f":

f+(f-9)+(f-14)=298\\\\3f-23=298\\\\f=\frac{321}{3}\\\\f=107

Finally, substitute the value of "f" into the Equation 2 and then into the Equation 3, in order to find the values of "s" and "t".

Therefore, you get:

s=107-9\\\\s=98\\\\\\t=107-14\\\\t=93

5 0
2 years ago
If AD=20 and AC=3x+4, find the value of x. Then find AC and DC.<br><br> I don't understand.
Fofino [41]
<span>Using the information we have 3x+4=40 Do the same to each side of the equation to eliminate for x. 3x+4=40 Minus 4 from each side 3x=40-4 3x=36 Divide 3 from each side x=36/3 x=12 AC=3x+4 insert the value of x 3(12)+4=40 AC=40 AD=20</span>
5 0
2 years ago
2 Classify the triangle by its sides. The diagram is not to scale. A straight B equilateral C scalene D isosceles (sides are 8,6
kow [346]

Answer:

D) Isosceles

Step-by-step explanation:

An isosceles triangle is the triangle that has 2 sides that are the same.

8 0
2 years ago
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