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2 years ago

13

In a marble collection, 1/8 of the marbles are blue. Of the blue marbles, 1/2 have sparkles. What fraction of the marbles in the

collection are blue with sparkles?
A. 1/12
B. 4
C. 1/16
D. 5/8

1 answer:

Delvig [45]2 years ago

8 0

Answer:

1/16

Step-by-step explanation:

if half the amount of blue marbles have sparkles you need to divide the amount of blue marbles in half

so 1/2 of 1/8 is 1/16

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yawa3891 [41]

Answer:

1)

<em> </em><em>a</em><em>.</em><em> </em>4,000,000

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2)

<em>a</em><em>.</em><em> </em>30,000,000

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3 years ago

Find the value of the expression below. Express your answer in scientific notation.

nirvana33 [79]

The value of the expression is $8.8 \times 10^{-2}$ .

Solution:

Given expression:

$$\frac{\left(4.8 \times 10^{8}\right)}{\left(1.2 \times 10^{4}\right)} \times\left(2.2 \times 10^{-6}\right)$

<u>To find the value of the given expression:</u>

Using exponent rule: $a^m\times a^n=a^{m+n}$

$$\Rightarrow\frac{\left(4.8 \times 10^{8-6}\right)}{\left(1.2 \times 10^{4}\right)} \times\left(2.2 \right)$

$$\Rightarrow\frac{\left(4.8 \times 10^{2}\right)}{\left(1.2 \times 10^{4}\right)} \times\left(2.2 \right)$

Using exponent rule: $\frac{a^m}{a^n} =a^{m-n}$

$$\Rightarrow\frac{\left(4.8 \times 10^{2-4}\right)}{1.2} \times 2.2$

$$\Rightarrow\frac{\left(4.8 \times 10^{-2}\right)}{1.2} \times 2.2$

Since $\frac{4.8}{1.2}=4$

$$\Rightarrow(4 \times 10^{-2})\times 2.2$

$$\Rightarrow 8.8 \times 10^{-2}$

Hence the value of the expression is $8.8 \times 10^{-2}$ .

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3 years ago

Your parents offer you 50%<br> interest every day if you<br> invest your 4 dollars with<br> them.

N76 [4]

Answer:

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Step-by-step explanation:

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2 years ago

If you buy tomato sauce for $.90 a quart how much does it cost for 5 pints

Dima020 [189]

<h2>Hello!</h2>

The answer is: the price of 5 pints of tomato sauce is $2.25.

<h2>Why?</h2>

To calculate how much does it cost 5 pints, we need to perform a unit conversion with the following unit relationship:

$0.5Quart=Pints$

Now, calculating how much is a pint:

$\frac{0.9}{quarter}*\frac{0.5Quart}{1Pint}=0.45$

A pint is $0.45.

Then, calculating how much are 5 pints:

$Price=0.45*NoOfPints=0.45*5=2.25$

Hence, the price of 5 pints of tomato sauce is $2.25.

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3 years ago

Find the shortest side of a triangle whose perimeter is 64 if the ratio of two of its sides is 4:3 and the third side is 20 less

Sergio039 [100]

Answer:

The shortest side of the triangle is 18

Step-by-step explanation:

Let the sides the triangle be x, y and z.

From the question, the perimeter of the rectangle is 64, that is

x + y + z = 64 ...... (1)

Also, the ratio of two of its sides is 4:3, that is x:y = 4:3, then we can write that x/y = 4/3 ⇒ 3x = 4y ...... (2)

The third side, z, is 20 less than the sum of the other two, that is

z + 20 = x + y ...... (3)

Substitute equation (3) into (1)

Then,

z + 20 + z = 64

2z +20 = 64

2z = 64 - 20

2z = 44

z = 44/2 k

z = 22

From equation (3)

z + 20 = x + y

Then, k

22 + 20 = x +y

42 = x + y

x = 42 - y ...... (4)

Substitute this into equation 2

3x = 4y

3(42-y) = 4y

126 - 3y = 4y

4y + 3y = 126

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y = 126/7

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Substitute this into equation (4)

x = 42 - y

x = 42 - 18

x = 24

∴ x = 24, y = 18 and z = 22

Hence, the shortest side of the triangle is 18.

4 0

2 years ago