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scoray [572]
2 years ago
4

In a crayon box there are 5 dark colors for every 8 light colors if there are 20 dark colors how many light colors are there?

Mathematics
1 answer:
NeX [460]2 years ago
3 0
<span>32 Light Colors. Since there are 5 dark for every 8 light, you can expand that ratio over the 20 dark that are present. 5:8 is the same as 20:32. Therefore, there are 32 light colors in the box.</span>
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7. If W = 3Z, and Z is 30% of R, then W is what
dem82 [27]

Answer:

90%

Step-by-step explanation:

Let R = 100

Since, Z = 30% of R

Therefore, Z = 30% *100 = 30

Since, W = 3Z

Therefore, W = 3*30 = 90

Percentage of W of R

= \frac{Value \: of \: W}{Value \: of \: R} \times 100\\\\=\frac{90}{100} \times 100\\\\Percentage \:of \:W \:of \:R =90\%

7 0
2 years ago
A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associ
OleMash [197]

Answer:

Each associate costs the client $700 per day, so a associates will cost the client 700a dollars per day. Each partner costs the client $1500 per day, so p partners will cost the client 1500p dollars per day. The total amount charged 700a+1500p :$14100:

700a+1500p=14100

700a+1500p=14100

Since there were a total of 11 lawyers assigned to the case (associates and partners), we know a+pa+p must equal 11.11.

a+p=11

a+p=11

\underline{\text{Write System of Equations:}}

Write System of Equations:

​

700a+1500p=

700a+1500p=14100

14100

a+p=11

11

8 0
2 years ago
Max invests some money in a savings bond.
WITCHER [35]

Answer:

£288150

Step-by-step explanation:

We'll use the formula

PRT/100= interest

But in this case we are looking for principal P

Rate= 2%

Interest= £5763

T=1

P= (I*100)/(RT)

P= (5763*100)/(2*1)

P= 288150

The principal is £288150

5 0
2 years ago
A six-sided fair die is rolled and a fair coin is tossed. If event M represents getting an odd number on the die and event N rep
poizon [28]
<span>Answer:

The two events are independent. In the given scenario, P(M and N) =0.25

Explanation:

1) Independent events are those that do not affect each other. In this case the number that you roll does not change the flip of the coin. So, whatever number you get with the die, the probabilities of landing tail or head when tossing the coin are the same.

2) The probability of the two simultaneous events: getting an odd number and landing a tail, since they are independent, is equal to the product of the two independent events:
P(M and N) = P(M) x P (N) (only because they are independent)

3) The probability of getting and odd number is 0.5 (half of the numbers are odd and half are even => probability = 1/2)

4) The probability of the coin lands tail is 0.5 (1/2).

5) Then the joint probability is 0.5 x 0.5 = 0.25</span>
3 0
2 years ago
What is x2 – 6 = 16x + 30 rewritten in standard form, then factored? What value(s) of x make the equation true?
Cloud [144]
I don't know how to explain but x= 18, -2
3 0
2 years ago
Read 2 more answers
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