Since 2 2/5 is equal to 12/5, (12/5)/(1/5), or 12 cubes can fit along the length of the brick.
Answer:
Peter 8 and Alice 10 home runs.
Step-by-step explanation:
Let the home runs by peter be represented by "x" and the home runs of Alice be represented by "y".
Altogether the hit 18 home runs. This means sum of x and y would be 18. So we can write the equation as:
x + y = 18 Equation 1
Peter hit twice the difference of the number of home runs Alice hit and 6. Difference of the number of home runs Alice hit and 6 is y - 6 and twice of this difference would be 2(y - 6). So, we can set up the second equation as:
x = 2(y - 6) Equation 2
Substituting the value of x from Equation 2 into Equation 1, we get:
2(y - 6) + y = 18
2y - 12 + y = 18
3y = 30
y = 10
Substituting the value of y in Equation 2, we get:
x = 2(y - 6) = 2(10 - 6) = 2(4) = 8
This means, Peter hit 8 home runs and Alice hit 10 home runs.
Answer:
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Step-by-step explanation:
Basically all you have to do is 5,000 x 5% = 250 Hope this helps.
<u>Given</u>:
The diameter of the circle P is 30 cm.
The radius of the circle P is 15 cm.
The measure of ∠RPS is 125°
We need to determine the arc length of QR.
<u>Measure of ∠QPR:</u>
The angles QPR and RPS are linear pairs.
Thus, we have;

Substituting the values, we have;


Thus, the measure of ∠QPR is 55°
<u>Arc length of QR:</u>
The arc length of QR can be determined using the formula,

Substituting
and r =15, we get;



Thus, the arc length of QR is 14.4 cm.
Hence, Option d is the correct answer.