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oee [108]
2 years ago
12

Suppose you have 20 coins that total $3.00. Some coins are nickels and some are quarters. Which of the following pairs of equati

ons would you use to find out how many of each coin you have?
A. n + q = 30
5n + 25q = 20
B. n + q = 30
n + q = 3.00
C. n + q = 3.0020
0.05n + 0.25q = 3.00
D. n + q = 20
5n + 25q = 300
Mathematics
1 answer:
shusha [124]2 years ago
6 0

Answer: D. n + q = 20

5n + 25q = 300

Step-by-step explanation:

Let n represent the number of nickels that you have.

Let q represent the number of quarters that you have.

Suppose you have 20 coins. It means that

n + q = 20

The total value of the coins is $3. The value of a quarter is $0.25 and the value if a nickel is $0.05. Therefore, the equation would be

0.05n + 0.25q = 3

Multiplying both sides of the equation by 100, it becomes

5n + 25q = 300

The correct option is

D. n + q = 20

5n + 25q = 300

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Answer:

0.16 gallons of paint are used on each piece of furniture.

The answer lies between the whole numbers 0 and 1.

Step-by-step explanation:

we know that

Four gallons of paint are used to paint 20 chairs and 5 small tables.

if each chair and table used the same amount of paint

then

sum the total pieces of furniture

20+5=25 pieces

Find the unit rate

Divide the total gallons of paint used by the total pieces

\frac{4}{25}=0.16\ \frac{gallons}{piece}

therefore

0.16 gallons of paint are used on each piece of furniture.

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7 0
2 years ago
Write each fraction as a sum of unit fractions 7/10
seropon [69]

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3/10+4/10=7/10

Step-by-step explanation:

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2 years ago
The combined average weight of an okapi and a llama is 450450450 kilograms. The average weight of 333 llamas is 190190190 kilogr
notsponge [240]
First of all, lets consider that you made a litte mistake and you meant this problem.........

<span>"The combined average weight of an okapi and a llama is 450 kilograms. The average weight of 3 llamas is 190 kilograms more than the average weight of one okapi. On average, how much does an okapi weigh, and how much does a llama weigh?"

This is a system of two equations.

Let it be X the average weight of a LLAMA
And Y the average weight of an OKAPI

X + Y = 450 kg   1)
3X = 190 kg +Y   2)

So, with 1) we have that  Y = 450 - X
We subsitute in 2) and we have 

3X = 190 + (450 -X).............We solve for X ....==> 4X = 640kg ==> X = 160kg

..We replace X in 1 and get => Y = 450kg -X = 450kg -160kg = 290kg


</span>160kg....... average weight of a LLAMA
290kg........average weight of an OKAPI
3 0
2 years ago
Read 2 more answers
Sydney needs to earn $35 so she can buy her father a birthday present. her mom said she can make $6 per hour cleaning around the
Dmitry_Shevchenko [17]

Answer:

if i can be brainliest that would be great

f(x) = x^2+3x-10

f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5

f(x+5) = (x^2+10x+25)+3(x+5)-10

f(x+5) = x^2+10x+25+3x+15-10

f(x+5) = x^2+13x+30

Compare this with x^2+kx+30 and we see that k = 13

Factor and solve the equation below

x^2+13x+30 = 0

(x+10)(x+3) = 0

x+10 = 0 or x+3 = 0

x = -10 or x = -3

The smallest zero is x = -10 as its the left-most value on a number line.

4 0
2 years ago
Choose yes or no to tell whether each term is equivalent to the slope in a proportional relationship.
Anna007 [38]

Answer:

A. Constant of proportionality : Yes

B. Origin : No.

C. Inverse : No.

D. Rise per run : Yes

E. Unit rate : Yes.

Step-by-step explanation:

We have to choose yes or no to tell whether each item in the given options is equivalent to the slope in a proportional relationship.

A. Constant of proportionality: Yes

B. Origin: No.

C. Inverse: No.

D. Rise per run: Yes

E. Unit rate: Yes.  

The constant of proportionality, the rise per run and the unit rate are equivalent to slope in a proportional relationship. (Answer)

5 0
2 years ago
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