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serious [3.7K]
2 years ago
9

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is

the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.
x + y = 24

3x + 5y = 100

What does the solution of this system indicate about the questions on the test?

The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.
Mathematics
1 answer:
aniked [119]2 years ago
7 0

Answer:

10 three-point questions and 14 five-point questions.

Step-by-step explanation:

x+y = 24

3x+5y = 100

We can solve this system of equations using elimination. In order to do this, let's first multiply the first equation by 3...

3x+3y=72

3x+5y=100

Now, subtract the first equation from the second equation...

2y=28

Divide both sides by 2

y=14

Plug this back into any of the equations to solve for x...

x+14=24

x=10

There were 10 three-point questions and 14 five-point questions

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Round 68,413 to the nearest thousand
meriva
8 is in the thousands place.

Look to the number in the hundreds (right next to it). It is a 4. Because 4 is less than 5, round down.

68413 rounded down in the thousands place becomes 68000

68000 is your answer


hope this helps
5 0
3 years ago
MEDAL !!! TRUE OR FALSE. Jonathan is catering an event for one of his clients. He has a maximum of $200 to spend on appetizers.
DochEvi [55]

182.5 US dollars so yes

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5 0
3 years ago
In two hours Holden completed 3/4 of his race how long will it take Holden to complete the entire race?
vivado [14]

Answer:

\frac{1}{4} = 50 Minutes

Whole Race Time : 2 Hour and 50 Minutes

Step-by-step explanation:

so 2 Hour = \frac{3}{4} Race completed

we need to find what 1/4 Race = x Hours

so 200 divided by 4 because \frac{3}{4} Race is done.

we need to find how long to finish the whole race also known as \frac{4}{4}.

200 divided by 4 = 50

so Holden still need 50 Minutes to finish the race.

8 0
3 years ago
Write an algebraic expression for the given quantity. Let x represent the unknown value. One-eight of the sum of a number and th
Mashcka [7]

<u>Answer: </u>

Required expression for one-eight of the sum of a number and three is \frac{x}{8} + 3

<u>Solution: </u>

Given that unknown value is represented by variable x.

Need to create algebraic expression for One-eight of the sum of a number and three.

Let’s first find one eight of the number that is 1/8th of x = \frac{x}8}

Now on adding three we get  

\frac{x}{8} + 3

Hence required expression for one-eight of the sum of a number and three is \frac{x}{8} + 3

7 0
3 years ago
At a historical landmark, candles are used to simulate an authentic atmosphere. A volunteer is currently putting new candles in
myrzilka [38]

Answer:

Each small candleholder holds 3 candles, and each large one holds 5 candles.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of candles that a small candleholder holds.

y is the number of candles that a large candleholder holds.

24 small candle holders and 3 large candle holders, using a total of 87 candles.

This means that

24x + 3y = 87

Simplifying by 3

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y = 29 - 8x

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This means that 14x + 7y = 77

Simplifying by 7

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y = 11 - 2x

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x = \frac{18}{6}

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y = 29 - 8x = 29 - 8*3 = 29 - 24 = 5

Each small candleholder holds 3 candles, and each large one holds 5 candles.

5 0
3 years ago
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