1/2 of the time
d=st
distance=speed times time
we want to find time
divide both sides by speed
d/s=t
d=20
s=40
20/40=t
1/2=t
this is in hours
she drove for 1/2 hour or 30 mins
Answer:
18 gray puppies
Step-by-step explanation:
Think of this as finding equivalent fractions/ratios. 3/5 puppies are gray. what over 30 puppies would be gray? to find 3/5=?/30, you multiply the numerator and denominator by 6. 3 times 6 is 18.
The value placed in the box that makes the system of equation with infinitely many solution is 12.
<h3>How to solve an infinitely many solution equation?</h3>
An infinite solution has both sides equal. For example, 6x + 2y - 8 = 12x +4y - 16. If we simplify the equation we will notice both sides are equal. This means the equation has an infinitely many solution.
Hence,
y = -2x + 4
Therefore,
6x + 3y = 12
divide the equation(ii) by 3
2x + y = 4
y = -2x + 4
Therefore, both equation are equal if the the box is filled with 12. This means for the value placed in the box that makes the system of equation with infinitely many solution is 12.
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Answer:
The length of the diameter is 18 cm
Step-by-step explanation:
In this question, we are asked to calculate the diameter of a right cylinder, given that the radius and the height are equal and given the value of the surface area.
Mathematically, the surface area of a cylinder can be represented by the equation;
A = 2 π r( r + h)
since r = h, we can say h = r
Thus, the equation becomes;
A = 2 π r( r + r)
A = 2 π r(2r)
A = 4 π r^2
From the question, we can see that the value of A = 324 π
substituting this, we have;
324 π = 4 π r^2
4r^2 = 324
r^2 = 324/4
r^2 = 81
r = root of 81
r = 9 cm
The value of the diameter is two times the radius
Hence D = 2r = 2 * 9 = 18 cm
The integer that represents Omar's score is -14.
<h3>What is the integer represents Omar’s score?</h3>
Integers are whole numbers. It is a number without a fraction or decimal component. Integers can either be positive, negative or zero.
When Omar wins, the points are added and when he losses, the points are subtracted.
0 + 8 - (6 x 4) + 2
0 + 8 - 24 + 2 = -14
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