51(x - 21) = x + 58
<em><u>Distributive property</u></em>
51x - 1071 = x + 58
<em><u>Subtract x from both sides</u></em>
50x - 1071 = 58
<em><u>Add 1071 to both sides</u></em>
50x = 1129
<em><u>Divide both sides by 50</u></em>
x = 22.58
We were given the distance, d as a function of time, t.
.
To find
, we put
, in to

This implies that,


This means that in 15 seconds light covers a distance of 4,500,000 kilometers
If two shapes are 'similar', it means that the dimensions of the shapes have the same ratio towards each other. In this example, we can see that the side with a length of 2 correlates to the side with a length of 4. That means, the scaling ratio is 4:2, which can be reduced to 2:1.
The next step is to look at the other side. We know that the width of the smaller shape is 1, and that the second shape is twice the size of the smaller shape (which is what a scale of 2:1 means). Therefore, you just need to multiply the known width by two to get the unknown.
1 * 2 = 2
The missing side _d_ has a length of 2.
Hope that helped =)
4,000,000,39
there you go!
Answer:
25%
Step-by-step explanation:
Say we start from the beginning with $40. If the pants are discounted but we don't know the percent discount, then we need a variable, x:
40 - x% * 40 = 30
The total is 40. When we take a discount off of 40, we are taking a percent of 40 and subtracting that from 40. From the problem, this should be 30. Thus, the equation above.
Add x%*40 to both sides and subtract 30 from both sides:
x%*40 = 10
Divide by 40:
x% = 1/4 = 0.25
Multiply each side by 100:
x = 25
The answer is 25%.