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IgorLugansk [536]

3 years ago

12

Maria estimates college tuition and fees, room and board, books, and other charges total $10,100. She will receive a scholarship

for $1100. If she has 4 years to save, how much should she save per month to cover the costs of college (minus the scholarship)?
A.
$2525.00

B.
$2250.00

C.
$210.42

D.
$187.50

1 answer:

Olenka [21]3 years ago

3 0

the answer is d.

10100-1100 is 9,000.

12 months× 4 years= 48 months

9,000÷48= 187.5

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Roger served 5/8 pound of crackers, which was 2/3 of the entire box. what was the weight of the crackers originally in the box

ira [324]

5/8 = 2/3 the entire box

Half of 2/3 is 1/3, and 2/3 + 1/3 = 1

So find half of 5/8 and add it to 5/8.

5/8 * 1/2 = 5/16

5/8 + 5/16

Change 5/8 to a fraction with a denominator of 16:

10/16 + 5/16 = 15/16

So the original weight is 15/16 pounds.

4 0

3 years ago

How to do that? Thanks

Vladimir [108]

9) We need to find the limit as x approaches 2 of f(x) - g(x).
When we are approaching a certain value, we are essentially finding values that are infinitesimally approaching x = 2, to the point where we find the exact value when x hits 2.

Thus, by substituting x = 2 into f(x) - g(x), we are finding the value at which the functions' difference hits x = 2.

$\lim_{x \to 2} [f(x) - g(x)] = \lim_{x \to 2}[\frac{3x + 2}{4} - x^{2} + 3]$
$= \frac{3(2) + 2}{4} - 2(2)^{2} + 3$
$= \frac{8}{4} - 8 + 3$
$= 2 - 8 + 3$
$= -3$

Every other question repeats this process, so by applying the above process, your answers should come out smoothly.
Let me know if you need any more assistance, and I can guide you through them.

5 0

3 years ago

20 POINTS!!!!! What is the value of p in the equation below? 4/5p + 6= -1/3p - 3 <br> p=?

Misha Larkins [42]

For this case we must solve the following equation:

$\frac {4} {5} p + 6 = - \frac {1} {3} p-3$

Adding $\frac {1} {3} p$ to both sides of the equation we have:

$\frac {4} {5} p + \frac {1} {3} p + 6 = -3\\\frac {3 * 4 + 5 * 1} {3 * 5} p + 6 = -3\\\frac {12 + 5} {15} p + 6 = -3\\\frac {17} {15} p + 6 = -3$

Subtracting 6 from both sides of the equation:

$\frac {17} {15} p = -3-6$

Equal signs are added and the same sign is placed:

$\frac {17} {15} p = -9$

We multiply by 15 on both sides of the equation:

$17p = -9 * 15\\17p = -135$

We divide between 17 on both sides of the equation:

$p = - \frac {135} {17}$

Thus, the value of the variable p is $- \frac {135} {17}$

Answer:

$p = - \frac {135} {17}$

4 0

3 years ago

What is the volume of a triangular pyramid that has a base area of 8.2 square centimeters and a height of 4

Harman [31]

Answer:

$\boxed {\boxed {\sf V \approx 10.9 \ cm^3}}$

Step-by-step explanation:

The volume of a triangular pyramid can be found using the following formula:

$V=\frac{1}{3} A_b\times h$

Basically, we have to multiply 1/3, the height, and the base area.

We know that the base area is 8.2 square centimeters and the height is 4 centimeters.

$A_b=8.2 \ cm^2 \\h= 4 \ cm$

Substitute the values into the formula.

$V=\frac{1}{3} (8.2 \ cm^2)\times (4 \ cm)$

Multiply 8.2 square centimeters and 4 centimeters.

8.2 cm² * 4 cm= 32.8 cm³

$V=\frac{1}{3} (32.8 \ cm^3)$

Multiply 1/3 and 32.8 cubic centimeters.

$V= 10.9333333 \ cm^3$

Round to the nearest tenth.

The 3 in the hundredth place tells us to leave the 9 in the tenth place.

$V \approx 10.9 \ cm^3$

The volume of the triangle pyramid is about 10.9 cubic centimeters.

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3 years ago

Solve the inequality.<br> 8+8(x + 4) >32<br> The solution is

dsp73

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form: x > - 1

Step-by-step explanation:

6 0

3 years ago

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