In 79 CE, a volcano erupted near Pompeii. Within a day, the city was buried under nine feet of ash. How many inches of ash buried the city? One foot is the same as 12 inches.
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Ming-Li spent $15 at the movies. She then earned $30 babysitting. She spent $12 at the bookstore. She now has $18 left. How much money did Ming-Li have to begin with?
At a table Tennis tournament, two games went on for a total of 32 minutes long. One game took 12 minutes longer than the other. How long did it take to complete each game? Use letters to represent the unknowns. Solve the problem
The product of x and y is less than or equal to 4
Whats the step to find the answer
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Let
x--------> the amount in dollars that Luis make last week
we know that
------> equation that represent the situation
solve for x
Divide by both sides
therefore
the answer is
Answer:
He made $90 last week
Step-by-step explanation:
Since we are told that Louis made 80% of what he made last week and since Louise made $72 this week, to get how much he made this week, we will follow the step below:
let x be the amount he made last week
80% of x = $72
80% × x = $72
= $72
the fraction 80x/100 can be reduced to 4x/5. Hence;
= $72
Multiply both-side of the equation by 5
x 5 = $72 x 5
4x =360
Divide both-side of the equation by 4 to get the value of x
On the left-hand side of the equation 4 will cancel-out 4 while on the right-hand side of the equation 360 will be divided by 4
x = $90
Therefore he made $90 last week
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In this question, you're using synthetic division to solve the problem.
Use synthetic division:
___________
-3 | 1 2 -2 3
First. you have to drop the 1, and then solve:
___________
-3 | 1 2 -2 3
↓
1
___________
-3 | 1 2 -2 3
-3
1
___________
-3 | 1 2 -2 3
-3
1 -1
___________
-3 | 1 2 -2 3
-3 3
1 -1
___________
-3 | 1 2 -2 3
-3 3
1 -1 1
___________
-3 | 1 2 -2 3
-3 3 -3
1 -1 1
___________
-3 | 1 2 -2 3
-3 3 -3
1 -1 1 0
x² x c r
When you're done solving, turn it into polynomial form:
x² - x + 1
Answer:
x² - x + 1
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Solve for y over the real numbers:
7 y^2 + 18 y + 22 = 6 y^2 + 34 y - 41
Subtract 6 y^2 + 34 y - 41 from both sides:
y^2 - 16 y + 63 = 0
The left hand side factors into a product with two terms:
(y - 9) (y - 7) = 0
Split into two equations:
y - 9 = 0 or y - 7 = 0
Add 9 to both sides:
y = 9 or y - 7 = 0
Add 7 to both sides:
Answer: y = 9 or y = 7