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makvit [3.9K]
3 years ago
6

Daniel is buying trophies and mounting stands for the upcoming basketball awards ceremony. The trophies come in boxes of 12 and

the mounting stands come in boxes of 10. He wants to buy the same number of trophies and mounting stands, but he wants to buy the least number of boxes as possible. How much should Daniel expect to pay if each box of trophies costs $10 and each box of mounting stands costs $6. Explain.
Mathematics
1 answer:
AveGali [126]3 years ago
4 0

So, first, you have to find the smallest number that is divisible by both 12 and 10. Which is 60. So, you need 5 boxes of trophies and 6 boxes of stands

Now to get how much it will cost you now multiply the respective costs by the amount of boxes so you get

5 x 10 = 50

6 x 6 = 36

Then you add both

50 + 36 = 86

He will spend a total of $86 on both trophies and stands.

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X-9= 1/4x + (1/4x + 12) + (1/4x - 3) what’s that answer?
konstantin123 [22]

Answer:

x = 72

Step-by-step explanation:

Make the problem simpler by eliminating the fractional coefficients:

x-9= 1/4x + (1/4x + 12) + (1/4x - 3), when multiplied by 4, becomes:

4x - 36 = x + x + 48 + x - 12

Summing up all the x terms, we get:

4x - 2x - x = 48 - 12 + 36

Then x = 72

7 0
3 years ago
Unit rate of 1/2 hour:$1.25
GREYUIT [131]
What I would do with is just multiply the 125 by half an hour yeah or just multiply the ones we five by in half an hour and get your final answer I multiply the 1.25 by 1.2 and I got 1.5 + If I multiply the 1.25 + 2i would get 2.5
4 0
2 years ago
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Dafna1 [17]
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3 0
3 years ago
Write the interval using interval notation to describe the set of values shown above.
jenyasd209 [6]

The interval on the number line is (-∞, 2) U [3, ∞)

<h3>How to determine the interval?</h3>

From the number line, we have the following inequalities

x < 2 and x ≥ 3

In inequalities, < and > are represented by brackets i.e. ( and )

While ≤ and ≥ are represented by square brackets i.e. [ and ]

So, we have:

x < 2 and x ≥ 3 = 2) and [3

The intervals must be closed and opened with infinity symbols.

So, we have:

x < 2 and x ≥ 3 = (-∞, 2) and [3, ∞)

Replace and with U

x < 2 and x ≥ 3 = (-∞, 2) U [3, ∞)

Hence, the interval on the number line is (-∞, 2) U [3, ∞)

Read more about interval notation at:

brainly.com/question/13048073

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6 0
1 year ago
Help, please. I just need an answer, so if anyone is bored, for the love of god please... ​
Alla [95]

Answer:B & E

Step-by-step explanation:

We can first rearrange the function to isolate y. Then, we can find the slope as the function is in the form y=mx+b.

3x-4y=7\\-4y=-3x+7\\y=\frac{3}{4}x-\frac{7}{4}

Since parallel lines have the same slope, we can put the slope of 3/4 into the point slope form to get the answer.

<em>For reference, the point-slope form is </em>y-y_1=m(x-x_1)

y+2=\frac{3}{4}(x+4)\\y+2=\frac{3}{4}x+3\\y=\frac{3}{4}x+1

The first line is found in option E, so option E is one of the correct options.

We can also move the x to the other side, as two of the 5 options have both variables on the left (B and C).

-\frac{3}{4}x+y=1

If we multiply the whole equation by -4, we can get rid of the fraction.

-4(-\frac{3}{4}x+y)=-4(1)\\3x-4y=-4

Hence, option B is also correct.

7 0
1 year ago
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