No change. She gave the salesperson exactly the right amount to buy the racecar.
Answer:
-72
Step-by-step explanation:
-32 + (2-6)(10).
PEMDAS
parentheses first
-32 + -4*10
Then multiply
-32 -40
Then subtract
-72
Answer:
The angles are vertical
Step-by-step explanation:
x+42+2x+1=180
put the like terms together i.e 2x+x+42+1=180
you get: 3x+43=180
Take 43 to th other side of 180 i.e 3x=180-43 i.e (180-43=137)
You get 3x=137
Divide both sides by 3
you get x=45.666666666667(Round off to get 45.67)
Substitute the value of x to the angles
x+42(45.67+42=87.67)
2x+1(2(45.67)+1=92.34
Add 87.67+92.34=180
THis shows that the angles are vertical
There are two ways you can do this. You can use the longer way:
15+16+17+18+19+20+21+22+23+24 = 195 (starting from the top row, which has 15 logs, up until the bottom row, which has 24 logs, on condition that each second row has one log more than the previous one)
You can also use the formula (where n is the number of rows)
x= (n(first term+last term))/2
x= (10(15+24))/2
x= (10*39)/2
x=390/2
x=195
Either way, there are 195 logs in the stack.
Answer:
x = 2 or x = -2
Step-by-step explanation:
5x² - 15 = 5
⇌
5x² = 15 + 5
⇌
5x² = 20
⇌
x² = 20/5 = 4
⇌
x² = 2²
⇌
x² - 2² = 0
⇌
(x - 2)(x + 2) = 0
⇌ we use the zero product property
x - 2 = 0 or x + 2 = 0
⇌
x = 2 or x = -2
