Find −30÷(6a)-30÷(6a) when a=−5a=-5 . Write the answer in simplest form

(b) The monthly salary of a staff working in a doll shop is Rs. 7,500. She sold the dolls of Rs. 1,20,000 in a month. If she ear

SSSSS [86.1K]

Answer:

5%

Step-by-step explanation:

Let the rate of commission is x%.

<u>Total earning is:</u>

7500 + 120000*x/100 = 13500
1200x = 13500 - 7500
1200x = 6000
x = 6000/1200
x = 5

7 0

2 years ago

Read 2 more answers

Reid will be driving through Spain this summer. He did some research and knows that the average price of gas in Spain is approxi

Molodets [167]

Answer:

(a)The amount of fuel in dollars = $1.62

(b)The rate equivalent to in U.S. dollars per gallon = $ 1.45

Step-by-step explanation:

Reid will be driving through Spain this summer. He did some research and knows that the average price of gas in Spain is approximately 1.12 euros per liter.

1 USD = 0.69 euros

We have to find the money that we should pay in order to get the same amount of fuel.

1 euro = $\frac{1}{0.69}$

1 euro = $1.45

So 1.12 euros = 1.12 $\times$ 1.45 = $1.62

(a)The amount of fuel in dollars = $1.62

(b)The rate equivalent to in U.S. dollars per gallon = $ 1.45

5 0

3 years ago

For each expression, select all equivalent expressions from the list.

ratelena [41]

$\qquad\qquad\huge\underline{{\sf Answer}}$

Let's find the equivalent expressions ~

#1. PROBLEM

$\qquad \tt \dashrightarrow \:11x - 4x + 10x$

$\qquad \tt \dashrightarrow \:21x - 4x$

$\qquad \tt \dashrightarrow \:17x$

#2. PROBLEM

$\qquad \tt \dashrightarrow \:2(1 + 8y)$

$\qquad \tt \dashrightarrow \:(2 \times 1) + (2 \times 8y)$

$\qquad \tt \dashrightarrow \:2 + 16y$

8 0

2 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

2 years ago

-2 1/2 * (1 2/3) = what?

TiliK225 [7]

Answer:

4.16

Step-by-step explanation:

Mixed Number = 4 1/6

Decimal = 4.16

Fraction = 4.1666666

Percentage = 416%

7 0

2 years ago

Read 2 more answers