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Harrizon [31]
3 years ago
11

the ratios in an equivalent ratio table are 3:12, 4:16, and 5:20. if the first number of the ratio is 10, what is the second num

ber? justify your reasoning.​
Mathematics
2 answers:
chubhunter [2.5K]3 years ago
5 0

Answer:

10:40

Step-by-step explanation:

Step 1: Reduce ratio to lowest value

3 : 12 = 1 : 4

<em>*Divide by </em>3

Step 2: Solve ratio

<em>Let 'x' represent the second number </em>

1 : 4 = 10 : x

<em>Multiple the left side by 10</em>

10 : 40 = 10 : x

Therefore the second number in the ratio with 10 is 40

Dimas [21]3 years ago
4 0

Answer:

10:40

Step-by-step explanation:

3x4 = 12

4 x 4 = 16

5 x 4 = 20

so 10 x 4 = 40 (10:40)

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What is the equation of a circle whose center is begin ordered pair negative 4 comma 6 end ordered pair and whose radius is 9 cm
solong [7]

Answer:

(x+4)^2+(y-6)^2=81

Step-by-step explanation:

We want to find equation of a circle with center (-4,6) and radius 9cm.

The equation of a circle with center (h,k) and radius r units is given by;

(x-h)^2+(y-k)^2=r^2

We substitute the radius and the center to obtain;

(x+4)^2+(y-6)^2=9^2

The required equation is:

(x+4)^2+(y-6)^2=81

3 0
3 years ago
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butalik [34]

Answer:

The equation is following the mathematical rule of multiplying exponents.

Step-by-step explanation:

As an example to back up the answer, when you have half of a dollar, that is $0.50, if you took a half (1/2) of $0.50 that would be one fourth (1/4) of a dollar, but half of 50 cents ($0.50) A similar thing is happening with this problem. When you have two numbers (2 and 4) when you multiply them together, they equal to eight (8) for this problem, when you multiply two exponents together, you are raising the coefficient (a real number like 6) to the power of 2, and then taking that number and multiplying it by the power of 4. This is similar to the half of 50 cents, is equal to 1/4 of dollar  ($0.25)

Hope this helps explain multiplying exponents together, and the mathematical rule behind it.

5 0
3 years ago
On a standardized exam, the scores are normally distributed with a mean of 300 and
Misha Larkins [42]

Answer:

-1.5

Step-by-step explanation:

8 0
3 years ago
8. The height of a ball t seconds after
Nina [5.8K]

Answer:

B) 16

Step-by-step explanation:

We have h(t)=0, because the ball is on the ground.

So we have:

-8(2t-32)=0

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3 years ago
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LiRa [457]

Answer:

Option B is correct

Step-by-step explanation:

because when you compare the table with graph you can understand easily.

8 0
3 years ago
Read 2 more answers
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