Answer:
3 metres
Step-by-step explanation:
If we draw this out, we'll see that there are actually two similar right triangles (see attachment), which means that we can set up a proportion.
The height of the lookout tower corresponds to the height of the wooden column, while the shadow of the lookout tower corresponds to the shadow of the wooden column. We can then write:
(height of lookout tower) / (shadow of tower) = (height of column) / (shadow of column)
16 / 12 = 4 / x , where x is the shadow / unknown we want to find
Cross-multiply:
16x = 48
x = 3
The answer is thus 3 metres.
Answer:
$43
Step-by-step explanation:
Given
Required
Calculate the amount spent
First, we need to calculate the total amount she had.
Represent amount spent with x.
The relationship between total amount, spending and amount left is:
Collect Like Terms
I feel like the answer would be <span>A) 12,13,14.
</span>
Answer:
Step-by-step explanation:
|-10|=10 so x will equal anything above the number 10. This means that the answer would be A and C since both numbers are more than 10.
Answer:
We know blend A costs 5.50 and blend B costs 4.30. We know that Pablo made 153 pounds of coffee this month. Let's let A=amount of blend A used and B=amount of blend B used. Since he made 153lbs coffee, we know that
A+B=153.
But he spent 756.30. The total amount he spent on a blend of coffee is the price * amount used. So he spent 5.50*A on blend A and 4.30*B on B, so in total, he spent 5.50*A+4.30*B in coffee. But this must add to 756.30! So
5.5A+4.3B = 756.30
Now we have two equations:
A+B = 153
5.5A + 4.3B = 756.30
We need to solve for B. I hate decimals so let's get rid of them in the second equation by multiplying both sides of the equation by 100 (which simply moves the decimals on everything two to the right). So now we have
A+B = 153
550A + 430 B = 75630
Now let's multiply the first equation by 550 (so we can eventually get rid of pesky A). So multiply the left and right side of the first equation by 550, so we have
550A + 550B = 84150
550A + 430B = 75630
Now subtract the second equation from the first, notice that since both have 550A, they cancel, so we obtain
120B = 8520
Now divide by 120 into both sides to solve for B, we get
B= 8520/120 = 71
So Pablo used 71lbs of blend B.
Step-by-step explanation:
Hope this helps you!!!!! :D
