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adell [148]
3 years ago
8

A box of 120 crayons contains variations of three colors: blue, red, and purple. The ratio of blue crayons to red crayons is 11:

2, and the ratio of the number of red crayons to purple crayons is 2:7. If all of the purple crayons were removed, how many crayons would be left in the box?
E. 16
F. 42
G. 78
H. 113
Mathematics
2 answers:
Kaylis [27]3 years ago
4 0
113 I’m pretty sure or 78 so H or G
Luden [163]3 years ago
3 0
I think it’s should be H
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Y=3/5 +2 plot the slope of the line
Ipatiy [6.2K]
The slope is equal to ³/₅.

6 0
3 years ago
Given the function f(x) = 4x - 2, explain and show how to find the average rate of change between x = 2 and x = 4.
zalisa [80]

Answer:

The average rate of change between x = 2 and x = 4 is of 4.

Step-by-step explanation:

Average rate of change:

The average rate of change of a function f(x) in an interval [a,b] is given by:

A = \frac{f(b)-f(a)}{b-a}

In this question:

f(x) = 4x - 2, b = 4, a = 2

Thus:

f(b) = f(4) = 4(4) - 2 = 16 - 2 = 14

f(a) = f(2) = 4(2) - 2 = 8 - 2 = 6

Average rate of change:

A = \frac{f(b)-f(a)}{b-a}

A = \frac{14-6}{4-2}

A = \frac{8}{2}

A = 4

The average rate of change between x = 2 and x = 4 is of 4.

7 0
3 years ago
Devisibility rules for 3, 6, and 9
fenix001 [56]

Answer:

<u>★</u><u> </u><u>Divisibility</u><u> </u><u>rule</u><u> </u><u>for</u><u> </u><u>3</u><u> </u><u>-</u>

If the sum of all the digits divisible by 3 then the number is divisible by 3.

Here, we take an example for better understanding -

<u>Example</u><u> </u><u>1</u><u> </u><u>-</u> 3525

Add up the digits - 3 + 5 + 2 + 5

→ 15

As, 15 is divisible by 3. So, 3525 is a factor of 3.

★<u> </u><u>Divisibility</u><u> rule</u><u> </u><u>for</u><u> </u><u>6</u><u> </u><u>-</u>

A number is to be divisible by 6 , if the number is also divisible by 2 and 3.

<u>Exampl</u><u>e</u><u> </u><u>2</u><u> </u><u>-</u> 132

Add up the digits = 1 + 3 + 2 = 6

As, 6 is divisible by 2 and it's also divisible by 3. Then, 132 is a factor of 6.

★ <u>Divisibility</u><u> rule</u><u> for</u><u> </u><u>9</u><u> </u><u>-</u>

If the sum of all the digits is divisible by 9 then the number is divisible by 9. Just like we'd in 3.

<u>Example</u><u> </u><u>3</u><u> </u><u>-</u> 1052

Add up the digits - 10 + 5 + 2 = 17

As, 17 is not divisible by 9. So, 1052 is also not divisible by 9.

3 0
3 years ago
9 + (-8) using a number line
Lelu [443]

Answer:

9 + (-8) = 1

Step-by-step explanation:

4 0
2 years ago
Given log Subscript 3 Baseline 2 almost-equals 0. 631 and log Subscript 3 Baseline 7 almost-equals 1. 771, what is log Subscript
kari74 [83]

You can use the properties of logarithm to get to the solution.

The approximate value for given term is given by

log_3(14) \approx 2.402

<h3>What is logarithm and some of its useful properties?</h3>

When you raise a number with an exponent, there comes a result.

Lets say you get

a^b = c

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

b = log_a(c)

Some properties of logarithm are:

log_a(b) = log_a(c) \implies b = c\\\\\log_a(b) + log_a(c) = log_a(b \times c)\\\\log_a(b) - log_a(c) = log_a(\frac{b}{c})

<h3>Using the above properties</h3>

log_3(2) + log_3(7) = log_3(2 \times 7) = log_3(14)\\\\0.631 + 1.771  = log_3(14)\\\\log_3(14) = 2.402

Thus,

The approximate value for given term is given by

log_3(14) \approx 2.402

Learn more about logarithm here:

brainly.com/question/20835449

5 0
2 years ago
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