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2 years ago

Q1) Ms. Garcia baked a 12 pound cake for a birthday party. Bryant ate 1/4 of 1 point

Mathematics

1 answer:

olga55 [171]2 years ago

3 0

Answer:

3 pounds

Step-by-step explanation:

12/4=3 (because we need to see how much bryant ate first)

12-3=9 (original - what bryant ate)

9/3=3 (what was left after bryant finish and what 1/3 of 9 is)

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If a is the average (arithmetic mean) of 6m and 10, b is the average of 4m and 4, and c is the average of 14m and 16, what is th

Paha777 [63]

Answer:

6m+7.5

Step-by-step explanation:

the arithmetic mean is the average of two numbers

it is given that a is average of 6m and 10

so $a=\frac{6m+10}{2}$

b is the average of 4m and 4

so $b=\frac{4m+4}{2}$

c is the average of 14m and 16

so $c=\frac{14m+16}{2}$

now the average of a ,b and c is given by

$average=\frac{a+b+c}{3}=\frac{\frac{6m+10}{2}+\frac{4m+4}{2}+\frac{14m+16}{2}}{3}=6m+7.5$

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2 years ago

Two cyclists, Alan and Brian, are racing around oval track of length 450m on the same direction simultaneously from the same poi

skelet666 [1.2K]

Answer:

Alan: 200 m/min

Brian: 150 m/min

Step-by-step explanation:

Given : Two cyclists, Alan and Brian, are racing around oval track of length 450m on the same direction simultaneously from the same point. Alan races around the track in 45 seconds before Brian does and overtakes him every 9 minutes.

To find : What are their rates, in meters per minute?

Solution :

Let n represent the number of laps that Alan completes in 9 minutes.

Then n-1 is the number of laps Brian completes.

45 seconds = 3/4 minutes.

The difference in their lap times in minutes per lap is

$\frac{9}{(n -1)}-\frac{9}{n} =\frac{3}{4}$

Solving the equation we get,

$\frac{9n-9n+9}{n(n -1)} =\frac{3}{4}$

$9\times 4=3\times n(n -1)$

$36=3\times n(n -1)$

$n^2-n-12=0$

$n^2-4n+3n-12=0$

$n(n-4)+3(n-4)=0$

$(n-4)(n+3)=0$

$n=4,-3$

Neglecting n=-3

So, n=4

Then Alan's speed in m/min is

$S=\frac{D}{T}$

$S_a=\frac{4\times 450}{9}$

$S_a=200 m/min$

Brian completes 3 laps in that 9-minute time, so his rate is

$S_b=\frac{3\times 450}{9}$

$S_b=150 m/min$

Therefore, Alan: 200 m/min

Brian: 150 m/min

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3 years ago

12. Find the slope from the table.

Katena32 [7]

Answer:

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2 years ago

A triangle has two sides of length 9 and 7. What is the smallest possible whole-number length for the third side?

Basile [38]

Answer:

Step-by-step explanation:

I am not positive but I think the answer might be 8?

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Is it possible to create two triangles with congruent side lengths but different angle measurements?

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2 years ago