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fredd [130]
3 years ago
11

Sophia is 6 years older than her brother Eric. The sum of their ages is 28

Mathematics
1 answer:
Step2247 [10]3 years ago
7 0

Answer:

Sophia is 17 years old. Sophia's brother is 11 years old.

Step-by-step explanation:

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4. Five cards are randomly chosen from a deck of 52 (13 denominations with 4 suits). a. How many ways are there to receive 5 car
yan [13]

Answer:

There are 2,598,960 ways to receive 5 cards from a deck of 52.

Step-by-step explanation:

The order in which the cards are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

a. How many ways are there to receive 5 cards from a deck of 52?

C_{52,5} = \frac{52!}{5!(47)!} = 2598960

There are 2,598,960 ways to receive 5 cards from a deck of 52.

4 0
3 years ago
Use r =27 &amp; x =3<br><br> <img src="https://tex.z-dn.net/?f=-%5Cfrac%7Br%7D%7B9%7D%2B%205x" id="TexFormula1" title="-\frac{r}
MrRa [10]

Answer:

12

Step-by-step explanation:

First substitute the equation with the variable replacements given:

-r/9 + 5x <--- Before

-27/9 + 5(3) <--- After

Next Solve the parts of the Equation

-27/9 + 5(3)

-3 + 15 <--- -27 divided by 9 is -3, 5 times 3 is 15.

= 12 <--- 15 - 3 = 12.

I hope this helps!

4 0
3 years ago
Read 2 more answers
Mr. Smith paid $36.36 for a carpet. This amount includes a tax of 10%. What was the cost of the carpet before tax?
ser-zykov [4K]

Answer:

32.72

Step-by-step explanation:

36.36/100

0.3636

0.3636 times 90 (I use 90 because 100-10=90) 10% tax, so 90% original cost.

32.72

8 0
3 years ago
A shipment includes several different types of apples, as shown below.
artcher [175]
B. If im right can i get brainlest? Never had 1 before.
6 0
3 years ago
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The ratio of cups of grape juice concentrate to cups of water in punch is 1:3. If Sherry made 32 cups of punch, how many cups of
lana66690 [7]
All she needed was 8 cups should I explain
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3 years ago
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