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3 years ago

THERE ARE 18 RED CRAYONS

Mathematics

2 answers:

yulyashka [42]3 years ago

6 0

Answer:

3:4

Step-by-step explanation:

The original ratio between the red and green crayons would be 18:24, but you would need to simplify that to reach your definite simplified answer. Doing this, you find the least common factor between 18 and 24 which is 3 for 18 and 4 for 24.

HACTEHA [7]3 years ago

3 0

Answer:

4 : 3

Step-by-step explanation:

So to answer this, we must find the greatest common factor(GCF) of 18 adn 24 , then divide by that to get the ratio.

So, what are the factors of 18?

Now what are the factors of 24?

All of these work, but we need to GCF, which is the largest factor that goes into both numbers.

Looking at them, it would be 6.

So lets divide both numbers by 6 and see what we get:

18/6

24/6

So now there are 3 red crayons and 4 green crayons.

For every 3 red crayons there are 4 green crayons.

This makes the ratio:

3 : 4

Hope this helps!

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A social media website had 350,000 followers in 2010. The number y of followers

Zolol [24]

Answer:

a) $y(t) = 350(1.02)^t$

b) 394 thousand = 394,000 people will be following the website in 2016

Step-by-step explanation:

Exponential equation for an amount:

The exponential equation for an amount after t years has the following format:

$y = y(0)(1+r)^t$

In which y(0) is the initial value and r is the growth rate, as a decimal.

A social media website had 350,000 followers in 2010. The number y of followers increases by 2% each year.

This means that: $y(0) = 350, r = 0.02$

a. Write an exponential growth function that represents the number of followers t years after 2010

In thousands:

$y(t) = 350(1 + 0.02)^t$

$y(t) = 350(1.02)^t$

b. How many people will be following the website in 2016?

2016 is 6 years after 2010, so this is y(6).

$y(6) = 350(1.02)^6 = 394.2$

Rounding to the nearest thousand:

394 thousand = 394,000 people will be following the website in 2016

5 0

3 years ago

Given △XPS≅△DNF, find the values of x and y.

White raven [17]

Answer:

x = 3

y = 15

Step-by-step explanation:

If △XPS ≅△DNF, their corresponding sides would be congruent. This implies that:

XP ≅ DN

PS ≅ NF

XS ≅ DF

Given that:

XP = 4y - 3

DN = 57

NF = 51

XS = 17x + 3

DF = 54

Therefore:

XP = DN

4y - 3 = 57 (Substitution)

Add 3 to both sides

4y = 57 + 3

4y = 60

Divide both sides by 4

y = 60/4

y = 15

Also,

XS = DF

17x + 3 = 54 (substitution)

Subtract 3 from each side

17x = 54 - 3

17x = 51

Divide both sides by 17

x = 51/17

x = 3

4 0

3 years ago

137,638+52,091 round

hichkok12 [17]

137,638+52,091 is 189729.

6 0

3 years ago

The table shows the number of words a person types of different amounts of time. What is the rate of words per minute?

Setler [38]

Answer:

35 words per minute.

Step-by-step explanation:

To find the answer you have to divide Minutes by Words Typed.

105 ÷ 3 = 35.

175 ÷ 5 = 35.

315 ÷ 9 = 35.

Therefore, our answer is 35.

8 0

3 years ago

Marcie bought a total of 20 used books and cds during a yard sale for a total of 54.50$. of books cost 1.50$ each and cds 5$ eac

melomori [17]

Let numbers of books be 'b' and numbers of CDs be 'c'

We can set up two equations:
Equation [1] ⇒ $b+c=20$
Equation [2] ⇒ $1.50b+5c=54.50$

We are solving for the number of books and the number of CDs bought

When we have two equations in terms of two different variables; $b$ and $c$ , that we need to solve, then this becomes a simultaneous equation problem.

First, rearrange Equation [1] to make either $b$ or $c$ the subject:
$b+c=20$
$b=20-c$

Then we substitute $b=20-c$ into Equation [2]
$1.50b+5c=54.50$
$1.50(20-c)+5c=54.50$
$30-1.50c+5c=54.50$
$5c-1.5c=54.50-30$
$3.5c=24.50$
$c=7$

Now we know the value of $c$ which is $c=7$ , substitute this value into $b=20-c$ we have $b=20-7=13$

Answer:
Numbers of books = 13
Numbers of CDs = 7

5 0

3 years ago