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3 years ago

Susie has a bag with 8 hair pins, 7 pencils, 2 snacks, and 4 books. What is the ratio of books to pencils?

Mathematics

2 answers:

ladessa [460]3 years ago

6 0

There are 7 pencils
And 4 Books
The ratio of book: pencils = 4:7

Viefleur [7K]3 years ago

4 0

<h3>Hello there!</h3>

The first thing we need to do here is see which information is relevant.

The question is asking for the ratio of books to pencils.

Therefore, we only need the number of books and pencils - all other information given is irrelevant in this scenario.

Number of books - 4

Number of pencils - 7

Now, we can order this as a ratio.

A ratio is two numbers put as a proportion. It's normally written out as first number : second number.

In this case, it's the ratio of number of books : number of pencils.

Fill in the number of books and number of pencils into each side of the equation.

number of books : number of pencils

4 books : 7 pencils (the unit is normally dropped)

So therefore, 4:7 would be your final answer.

Hope this helped!

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A rental car company charges $30 a day plus $0.05 a mile. Which expression could be used to find the cost of renting a car for m

Gnoma [55]

Answer:

Step-by-step explanation:

Since the company earns $0.05 for every mile, we would multiply m by 0.05. We also add it with 30 since it is a base charge. This makes it C

It can't be A or B since that would mean the company earns $30.05 for every mile.

It can't be D since that would mean the company earns $30 for every mile with a base charge of $0.05.

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2 years ago

The distance of planet Mercury from the Sun is approximately 5.8 ⋅ 10^7 kilometers, and the distance of Earth from the Sun is 1.

egoroff_w [7]

Answer:

The answer is 9.2 * 10^7

Step-by-step explanation:

(1.5*10^8)-(5.8*10^7)=92,000,000

92,000,000= 9.2* 10^7

6 0

2 years ago

Read 2 more answers

Solve the following ODE's: c) y* - 9y' + 18y = t^2

Nastasia [14]

Answer:

y = $C_1e^{3t}+C_2e^{6t}$ + $\dfrac{1}{18}(t^2+\frac{2t}{6} + \frac{2}{36}+\frac{2t}{3}+\frac{2}{18}+\frac{2}{9})$

Step-by-step explanation:

y''- 9 y' + 18 y = t²

solution of ordinary differential equation

using characteristics equation

m² - 9 m + 18 = 0

m² - 3 m - 6 m+ 18 = 0

(m-3)(m-6) = 0

m = 3,6

C.F. = $C_1e^{3t}+C_2e^{6t}$

now calculating P.I.

$P.I. = \frac{t^2}{D^2 - 9D +18}$

$P.I. = \dfrac{t^2}{(D-3)(D-6)}\\P.I. =\dfrac{1}{18}(1-\frac{D}{3})^{-1}(1-\frac{D}{6})^{-1}(t^2)\\P.I. =\dfrac{1}{18}(1-\frac{D}{3})^{-1}(1+\frac{D}{6}+\frac{D^2}{36}+....)(t^2)\\P.I. =\dfrac{1}{18}(1-\frac{D}{3})^{-1}(t^2+\frac{2t}{6} + \frac{2}{36})\\P.I. =\dfrac{1}{18}(1+\frac{D}{3}+\frac{D^2}{9}+....)(t^2+\frac{2t}{6} + \frac{2}{36})\\P.I. =\dfrac{1}{18}(t^2+\frac{2t}{6} + \frac{2}{36}+\frac{2t}{3}+\frac{2}{18}+\frac{2}{9})$

hence the complete solution

y = C.F. + P.I.

y = $C_1e^{3t}+C_2e^{6t}$ + $\dfrac{1}{18}(t^2+\frac{2t}{6} + \frac{2}{36}+\frac{2t}{3}+\frac{2}{18}+\frac{2}{9})$

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2 years ago

An Angle measures 64 more than the measure of its supplementary angle what is the measure of each angle

ValentinkaMS [17]

Answer:

Original angle = 122*

Supplementary angle = 58*

Step-by-step explanation:

A supplementary angle is one of two angles that make up 180*

If one angle is 30*, its supplementary angle is 150*. 30 + 150 = 180.

So in this case we have two angles, the original and the supplementary angle. The original angle is 64* more than the supplementary angle. The key word is MORE.

The formula to figure it out would look like this: x + (x + 64) = 180

x is the supplementary angle

x + 64 is the original angle (64 MORE than its supplementary angle)

180 is the total measure of the two angles because they are supplementary and we know that supplementary angles always equals 180* when added together.

Take the formula and do a little algebra.

x + (x + 64) = 180

Subtract 64 from both sides

x + x = 116

Combine the x's

2x = 116

Divide both side by 2

x = 58

Remeber we know that the original angle is 64 more than the supplementary angle, so we'll add the 64 to the value of x and we get 122.

x + 64 = 122

Check our work:

x + (x + 64) = 180