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3 years ago

Student Council earned $26 selling

Mathematics

1 answer:

olasank [31]3 years ago

8 0

Option A

The greatest possible price per item is $ 2

Solution:

Given that,

Student Council earned $26 selling bottled water

$32 selling oranges

$28 selling energy bars

If all items cost the same, what is the greatest possible price per item

Which means, we have to find the greatest common factor of 26, 32 , 28

Find GCF of 26, 32 , 28

The factors of 26 are: 1, 2, 13, 26

The factors of 28 are: 1, 2, 4, 7, 14, 28

The factors of 32 are: 1, 2, 4, 8, 16, 32

Then the greatest common factor is 2

Thus the greatest possible price per item is $ 2

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What is the least common multiple of 5 and 150?

Anni [7]

Its 150 because thats the lcm

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3 years ago

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Compare 6.23 * 10^14 and 8.912 * 10^12

Masteriza [31]

Answer:

623,000,000,000,000 > 8,912,000,000,000

Step-by-step explanation:

8.912·10^12

The exponent is 12, making it 10 to the power of 12. As the exponent is positive, the solution is a number greater than the origin or base number. To find our answer, we move the decimal to the right 12 time(s):

8.912 -> 8,912,000,000,000

6.23·10^14

The exponent is 14, making it 10 to the power of 14. As the exponent is positive, the solution is a number greater than the origin or base number. To find our answer, we move the decimal to the right 14 time(s):

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3 years ago

RSM wants to send four of its 18 Math Challenge teachers to a conference. How many combinations of four teachers include exactly

tatiyna

Answer:

1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.

Step-by-step explanation:

The order in which the teachers 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.

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

In this question:

1 from a set of 2(Either Mrs. Vera or Mr. Jan).

3 from a set of 18 - 2 = 16. So

$C_{2,1}C_{16,3} = \frac{2!}{1!1!} \times \frac{16!}{3!13!} = 1120$

1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.

4 0

3 years ago

Please I’m struggling

insens350 [35]

Answer:

1080cm²

Step-by-step explanation:

surface area=sum of the area of all the shapes

area of triangle=1/2*base*height

1/2*24*10=120*2(because there are two triangles)=240cm²

10*14=140cm²

24*14=336cm²

Area of slanting figure=26*14=364cm²

add all the results

240+140+336+364=1080cm²

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3 years ago

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Solve the equation identify extraneous solutions

PIT_PIT [208]

Answer:

Step-by-step explanation:

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$x^2=-3x+40$

Get everything on one side of the equals sign and set the quadratic equal to 0:

$x^2+3x-40=0$

Throw this into the quadratic formula to get that the solutions are x = 5 and -8. We need to see if only one works, both work, or neither work in the original equation.

Does $5=\sqrt{-3(5)+40}$ ?