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Hoochie [10]
3 years ago
13

Given the system of equations presented here: 3x + 5y = 29 x + 4y = 16 Which of the following actions creates an equivalent syst

em such that, when combined with the other equation, one of the variables is eliminated? (5 points) Select one: a. Multiply the second equation by −1 to get −x − 4y = −16 b. Multiply the second equation by −3 to get −3x − 12y = −48 c. Multiply the first equation by −1 to get −3x − 5y = −29 d. Multiply the first equation by −3 to get −9x − 15y = −87
And pls show work
Mathematics
1 answer:
lesantik [10]3 years ago
3 0
It would be b. If you combine -3x-5y and 3x+5y, the x's cancel out. That would be the variable.
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A total of 20 quarters and nickels add up to $4.00. How many nickels are there?
mariarad [96]

Answer:

5 nickels

Step-by-step explanation:

You can setup and solve a system of equations, or you can solve by trial and error until you get the correct answer.

Here is the solution by trial and error.

If all 20 coins are quarters, the value is 20 * $0.25 = $5

That is too much value.

Let's try 16 quarters. 16 quarters are worth 16 * $0.25 = $4.

That is the correct value, but it is only with quarters, and only 16 of them.

We need fewer quarters than 16.

Try 12 quarters: 12 * $0.25 = $3.00

The number of nickels is: 20 - 12 = 8

8 nickels are worth 8 * $0.05 = $0.40

12 quarters and 8 nickels are worth $3.00 + $0.40 = $3.40

There are 20 coins, but the value is too low.

The number of quarters is between 12 and 16.

Try 14 quarters and 6 nickels:

14 * $0.25 + 6 * $0.05 = $3.50 + $0.30 = $3.80

We are closer to $4 but not there yet.

Try 15 quarters and 5 nickels.

15 * $0.25 + 5 * $0.05 = $3.75 + $0.25 = $4

The total value is $4 and there are 20 coins. This is the answer.

15 quarters and 5 nickels works.

Answer: 5 nickels

8 0
3 years ago
. An Olympic runner completed a 100-meter race with a time of 12.5 seconds. What was her average speed?
svet-max [94.6K]
So you would do 100 divided by 12.5 and that equals 8. So the answer would be 8mph
5 0
2 years ago
To what place is 220.0 accurate?
natulia [17]
the answer of the question is tens
5 0
3 years ago
Greq and Sam oredered a pizza for lunch. Greg ate 3/4 of the pizza, and Sam ate 1/8 of the pizza. How much of the whoe pizza was
MatroZZZ [7]
Convert 3/4 to a denominator of 8 by multiplying by two, getting you:

6/8 + 1/8

Add those and you get D) 7/8
3 0
3 years ago
Sal built a card table with a top area of 900 square inches. What is the length, in inches, of one side of the table?
Klio2033 [76]
Answer:
30

Explanation:
It’s pretty simple actually, you just need to get the square root of 900 by seeing what two equal numbers give you 900. The answer in this scenario would be 30 since 30x30 would give you 900. Since it is a square all sides are equal and your answer would only be 30.
Hope this helped you :)
7 0
3 years ago
Read 2 more answers
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