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3 years ago

Rafael has ridden 14 miles of a bike course. The course is 40 miles long. What percentage of the course has Rafael ridden so far

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

5 0

Percentage ridden = 14/40 x 100 = 35%

Answer: 35%

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Simplify the expression by distributing, then combining like terms! 4 (3x + 2) - 6

egoroff_w [7]

Answer:

$\boxed {12x + 2}$

Step-by-step explanation:

Solve the following expression:

$4(3x + 2) - 6$

-Use Distributive Property:

$4(3x + 2) - 6$

$12x + 8 - 6$

-Combine like terms:

$12x + 8 - 6$

$\boxed {12x + 2}$

4 0

3 years ago

Read 2 more answers

Find the sum of the geometric series.

sveticcg [70]

Answer:

40/3 option B

Step-by-step explanation:

20-10+5-5/2+ ...

We need to find the sum of infinite geometric series

$S_n = \frac{a}{1-r}$

a is the first term (20)

r is the common ratio

To find common ratio we divide second term by first term

r= $\frac{-10}{20} = -\frac{1}{2}$

now we plug in the values

$S_n = \frac{20}{1-(-\frac{1}{2}}$

$S_n = \frac{20}{1+\frac{1}{2}}$

$S_n = \frac{20}{\frac{3}{2}}$

$S_n = 20 * \frac{2}{3}$

sum = 40/3

7 0

4 years ago

The pie chart shows information about voters in an election. 2800 more women vote than men. Work out the total number of voters.

Dmitry [639]

The picture in the attached figure

let
x--------> men voters
y-------> women voters

we know that
y=x+2800------> y-x=2800------> equation 1

step 1
find the percentage of women and men voters
in the graph
central angle by men voters=130°
central angle by women voters=(360°-130°)-------> 230°
by using proportion
men voters
$\frac{360}{100} = \frac{130}{M} \\ M=(100*130)/360 \\ M=36.11$ %

women voters
$\frac{360}{100} = \frac{230}{F} \\ F=(100*230)/360 \\ F=63.89$ %

remember equation 1
y-x=2800
so
F-M=63.89%-36.11%----> 27.78%

if 27.78% correspond to 2800 voters
100%---------------------->T
T=100*2800/27.78-------> T=10,079.19 voters

the answer is
about 10,079 voters