<span>58000000=5.8⋅<span>10<span>
The 10 is to the 7th power.
I hope that helps!!!!!!
: )
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Answer:
x = 2
Step-by-step explanation:
4(2x - 1) = 3x + 6
Simplify
8x - 4 = 3x + 6
Subtract 3x from both sides
8x - 3x - 4 = 3x - 3x + 6
5x - 4 = 6
Add 4 to both sides
5x - 4 + 4 = 6 + 4
5x = 10
Divide both sides by 5
5x/5 = 10/5
x = 2
Answer:
$39.60
Step-by-step explanation:
We are finding 66 - 40%
66 less 40% = 60% of 66
60% of 66 is the price of the item now.
Convert 60% to decimal form by dividing by 100.
60%/100 = 0.60
Multiply the decimal form by 66
66 X 0.6 = 39.60
Since we are dealing with money, keep 2 decimal places, even if the last digit is 0.
The price of the item now is $39.60.
Answer:
3. The missing angle is 56°
4. x = 7
Step-by-step explanation:
3.
We know sum of 3 angles in a triangle is 180°.
Looking at the top triangle, we can figure out the third angle. Let third angle be x:
85 + 35 + x = 180
120 + x = 180
x = 180 - 120
x = 60
<u>The angle "x" and the angle that is missing from the "bottom" triangle in the figure, are vertical angles, and hence, are EQUAL.</u>
So the bottom triangle now has 2 angles, 60 and 64 (given). Let the third angle be y(the one with a question mark). So we can write:
60 + 64 + y = 180
124 + y = 180
y = 180 - 124
y= 56
This is the missing angle.
4.
10x - 5 AND 8x + 9 are vertical angles. They ARE EQUAL.
Thus we can write the equation:
(10x-5) = (8x+9)
10x-8x=9+5
2x=14
x=14/2
x=7
So x = 7
Answer:
a. 19.68 miles per gallon.
b. 26.32 miles per gallon.
Step-by-step explanation:
Mean gas mileage (μ) = 23.0 mpg
Standard deviation (σ) = 4.9 mpg
In a normal distribution, for any length X, the z-score is determined by the following expression:

In a normal distribution, the 25th percentile (first quartile) of a normal distribution has a corresponding z-score of z = -0.677 and the 75th percentile has a corresponding z-score of z = 0.677
a. The first quartile of the distribution of gas mileage is

19.68 miles per gallon.
b. The third quartile of the distribution of gas mileage is

26.32 miles per gallon.