9514 1404 393
Answer:
Step-by-step explanation:
In order to solve this, we need to assume that the angles involving x are supplementary, and the angles involving y are complementary.
(7x -8) +(13x -32) = 180
20x -40 = 180 . . . . . . . . . collect terms
20x = 220 . . . . . . . . . add 40
x = 11 . . . . . . . . . . divide by 20
__
(10y +22) +(7y) = 90
17y = 68 . . . . . . . . . . . . collect terms, subtract 22
y = 4 . . . . . . . . . . divide by 17
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
Answer:
x = - 2
Step-by-step explanation:
Don't let the points disturb you. They are actually meant to confuse you.
Answer:
x=3
Step-by-step explanation:
1. set the sides equal to each other
8x-12=12
2. solve for x
8x=24
x=3
The only set of elements that satisfied the equation 2x-1= -13 is {-6}.
<h3>What is a set?</h3>
A set is a combination of specific quantities in which the meaning of each variable must be the same.
For example {1,2,3,4,5,6...} is a set of natural numbers in which each variable is representing a natural number so the overall meaning is the same among all.
Another example could be a set of whole numbers like that.
Given the equation,
2x-1= -13
By taking -1 right-hand side
2x = -13 + 1 = -12
By dividing 2
x = -6
Hence "The only set of elements that satisfied the equation 2x-1= -13 is {-6}".
To learn more about the sets,
brainly.com/question/8053622
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