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3 years ago

Determine the intercepts of the line. y= 4x +7 -intercept: y-intercept: 2

Mathematics

2 answers:

kati45 [8]3 years ago

8 0

Answer:

2=4x+7

Step-by-step explanation:

Archy [21]3 years ago

8 0

Answer:

x-intercept: (-7/4, 0)

y-intercept: (0, 7)

Step-by-step explanation:

i hope this helps :))

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Vivenne, John and nassim ran for 6th grade class president. Vivenne got four votes for every 3 votes that John got. Nassim got t

andreev551 [17]

Percentage of the votes did John got overall is 25 %

Solution:

Given, Vivenne, John and nassim ran for 6th grade class president.

Vivenne got four votes for every 3 votes that John got.

Nassim got two votes for every vote that Vivenne got.

Now, ratio of vivenne votes to john votes = 4 : 3

a : b can be written in fraction as $\frac{a}{b}$

$\rightarrow \frac{\text {vivenne votes}}{\text {john votes}}=\frac{4}{3} \rightarrow(1)$

Now, ratio of nassim votes to vivenne votes = 2 : 1

$\rightarrow \frac{\text {nassim votes}}{\text {vivenne votes}}=\frac{2}{1} \rightarrow(2)$

Now, multiply the above two fractions,

$\begin{array}{l}{\rightarrow \frac{\text {vivenne votes}}{\text {john votes}} \times \frac{\text {nassim votes}}{\text {vivenne votes}}=\frac{4}{3} \times \frac{2}{1}} \\\\ {\rightarrow \frac{\text {nassim votes}}{\text {john votes}}=\frac{8}{3} \rightarrow(3)}\end{array}$

Now, add (1) and (3),

$\begin{array}{l}{\rightarrow \frac{\text {vivenne votes}}{\text {john votes}}+\frac{\text {nassim votes}}{\text {john votes}}=\frac{4}{3}+\frac{\mathrm{s}}{3}} \\\\ {\rightarrow \frac{\text {vivenne votes+nassim votes}}{\text {john votes}}=\frac{4+8}{3}}\end{array}$

We know that total votes = vivenne votes+nassim votes+john votes

Hence substitute "vivenne votes+nassim votes = total votes - john votes "

Hence we get,

$\begin{array}{l}{\rightarrow \frac{\text {total votes}-\text {john votes}}{\text {john votes}}=\frac{12}{3}} \\\\ {\rightarrow \frac{\text {total votes}}{\text {john votes}}-\frac{\text {john votes}}{\text {john votes}}=4} \\\\ {\rightarrow \frac{\text {total votes}}{\text {john votes}}-1=4} \\\\ {\rightarrow \frac{\text {total votes}}{\text {john votes}}=5} \\\\ {\rightarrow \frac{\text {john votes}}{\text {total votes}}=\frac{1}{5}}\end{array}$

Multiplying 100 on both sides,

$\rightarrow \frac{\text {john votes}}{\text {total votes}} \times 100=\frac{1}{5} \times 100$

The above expression is the formula used to calculate John vote percentage

Hence John votes percentage = 25%

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3 years ago

What is 36 divided by 21,312?

solong [7]

Answer:

0.00168918918

Step-by-step explanation:

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4. What percent of 8 is 20?

ser-zykov [4K]

Answer:

Step-by-step explanation:

250 percent

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La base de un rectangulo es doble que su altura Cuales son sus dimensiones si el perímetro mide 108 cm

marysya [2.9K]

Answer:

el ancho es

pulgadas y la longitud es

pulgadas.

Step-by-step explanation:

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3 years ago

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X 4 6 9 11 15

Kitty [74]

The mean of this discrete random variable is 7.96

Solution:

Given that,

x 4 6 9 11 15

P(x) 0.20 0.34 0.15 0.22 0.09

Mean is given as:

$\mu_{x}=\sum[x \times P(x)]$

Therefore,

$\mu_{x} = (4 \times 0.20) + (6 \times 0.34 ) + (9 \times 0.15 ) + (11 \times 0.22 ) + (15 \times 0.09)\\\\Simplify\\\\\mu_{x} = 0.8 + 2.04 + 1.35 + 2.42 + 1.35\\\\\mu_{x} = 7.96$

Thus, mean of this discrete random variable is 7.96

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3 years ago