Answer:
A
Step-by-step explanation:
To turn a fraction into a percent, you divide the numerator by the denominator.
8 divided by 9 = .8 repeated
To turn it into a percent, you move the decimal to the right 2 spaces.
.8 turns into 88.8 repeated
Then you round to the nearest hundredth
88.8 repeated rounds to 88.89.
Both angles need to equal 180 degrees .
Add them together:
2x +10 + 3x-5 = 180
5X +5 = 180
Subtract 5 from each side:
5x = 175
Divide both sides by 5:
X = 175 / 5
X = 35
Now replace X with 35 in each equation:
2x +10 = 2(35) +10 = 70 +10 = 80
3x-5 = 3(35) - 5 = 105 -5 = 100
The answer is A. 80 and 100
Answer:
y = 1/2x -3
Step-by-step explanation:
The slope of the given line is the x-coefficient: -2. The slope of the perpendicular line is the negative reciprocal of this:
-1/(-2) = 1/2
The only answer choice with a slope of 1/2 is ...
y = 1/2x -3
Answer:
212 children, and 265 adults
Step-by-step explanation:
To find the number of children and adults, we can set up a systems of equations.
x= number of children
y= number of adults
Equation 1: Price
1.50x+2.25y=914.25
Equation 2: Total number of people
x+y=477
Now, let's solve the equation using substitution.
Rearrange the second equation to solve for one variable.
x+y=477
x=477-y
Now plug x equals into the first equation, and solve for y.
1.50x+2.25y=914.25
1.50(477-y)+2.25y=914.25
715.5-1.50y+2.25y=914.25
715.5+0.75y=914.25
0.75y=198.75
y=265
We just solved for the number of adults. Now let's plug y equals into the second equation to find the number of children.
x+y=477
x+265=477
x=212
Answer:
2.05 × 10⁷
Step-by-step explanation:
0.000000205
We'll move the decimal point after the first non-zero digit (as per the scientific notation rules) and the standard form would be :
=> 2.05 × 10⁷
