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andrew11 [14]
3 years ago
6

A teacher spent $240.75 including tax on school supplies. If the tax rate is 7%, find the price of the supplies before taxes. PL

EASE HELP will mark as Brainliest
Mathematics
1 answer:
kifflom [539]3 years ago
3 0

Answer:

$225.

Step-by-step explanation:

Let the  price before taxes be x dollars. Then we have the equation:

x + 7% of x = 240.75

x + 0.07x = 240.75

1.07x = 240.75

x = 240.75/1.07

= $225.

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If one pack of blueberries cost $4, how many packages of blueberries can be bought for $12
Elenna [48]

Answer:

Step-by-step explanation:

One pack blueberries = $4

? Pack blueberries = $12

All you have to do is divide 12 by 4 :)

8 0
3 years ago
A baker is building a rectangular solid box from cardboard to be able to safely deliver a birthday cake. The baker wants the vol
k0ka [10]

The length of the rectangular delivery box must be equal to 4 inches.

Let the length of the box be L.

Let the width of the box be W.

Let the height of the box be H.

<u>Given the following data:</u>

  • Volume of box = 224 cubic inches.

Translating the word problem into an algebraic expression;

W = 3 + L  ......equation 1

H = 4 + L  ......equation 2.

Mathematically, the volume of a rectangular solid is given by the formula;

Volume = length * width * height  .....equation 3.

Substituting the values into equation, we have;

224 = L * (3 + L) * (4 + L)\\\\224 = (3L + L^{2})* (4 + L)\\\\224 = 12L + 3L^{2} + 4L^{2} + L^{3} \\\\224 = 12L + 7L^{2} + L^{3}

Rearranging the polynomial, we have;

L^{3} + 7L^{2} +  12L - 224 = 0

We would apply the remainder theorem to solve the polynomial.

According to the remainder theorem, if a polynomial P(x) is divided by (x - r) and there is a remainder R; then P(r) = R.

When x = 3

(x - 3) = 0\\x = 3

P(3) = 3^{3} + 7(3^{2}) + 12(3) - 224\\\\P(3) = 27 + 7(9)  + 36 - 224\\\\P(3) = 27 + 63 + 36 - 224 = -98 \neq 0

We would try with 4;

P(4) = 4^{3} + 7(4^{2}) + 12(4) - 224\\\\P(4) = 64 + 7(16)  + 48 - 224\\\\P(4) = 64 + 112 + 48 - 224\\\\P(4) = 224  - 224 = 0

Therefore, 4 is one of its roots.

Hence, the length of the rectangular delivery box must be equal to 4 inches.

Find more information on polynomial here: brainly.com/question/10689855

3 0
3 years ago
Every year Ethan ears 38,428. Every year he spends 21,728 on expenses. How much money should Ethan have leftover?
svlad2 [7]

Answer:

16,700

Step-by-step explanation:

38,428

_

21,728

=

16,700

4 0
3 years ago
what is the perimeter of triangle PQR vertices P(-2, 9), Q(7,-3), and R(-2, -3) in the coordinate plane?
kipiarov [429]
This is a diffficult question was there a chart
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In the accompanying diagram, line n is parallel to
mote1985 [20]
Here too same procedure
4) 156 is the answer
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