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3 years ago

The ratio of yes votes to no votes is 5 to 4 if there’s 5,292 votes how many are yes?

Mathematics

2 answers:

vesna_86 [32]3 years ago

8 0

$5292 \div \frac{5}{4}$

NeTakaya3 years ago

8 0

Add 5 and 4 together, obtaining 9. Divide 5292 by 9, obtaining 588.

The number of Yes votes is then 5(588) = 2940, and the number of No votes is 4(588) = 2352.

Check: does the ratio 2940 / 2352 come out to 5/4? YES.

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Read 2 more answers

Elio makes candles that are 14 cm tall. Each candle burns 8 hours before going out. He is wondering how many hours a 21 cm tall

MAXImum [283]

Elio is right in assuming the relationship between the height and the hours it burns is proportional.

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14 ÷ 8 = 1.75 cm/h

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8 0

3 years ago

Write an equation in slope intercept form for the line that passes through (-1, -2) and (3, 4)

LenaWriter [7]

Answer:

The slope-intercept form of the line equation is:

$y=\:\frac{3}{2}x\:-\frac{1}{2}$

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slope

b is the y-intercept

Given the points

(-1, -2)

(3, 4)

Determining the slope between (-1, -2) and (3, 4)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-1,\:-2\right),\:\left(x_2,\:y_2\right)=\left(3,\:4\right)$

$m=\frac{4-\left(-2\right)}{3-\left(-1\right)}$

$m=\frac{3}{2}$

Thus, the slope of the line is:

m = 3/2

substituting m = 3/2 and the point (3, 4) in the slope-intercept form of the line equation

y = mx+b

$4=\frac{3}{2}\left(3\right)+b$

switch sides

$\frac{3}{2}\left(3\right)+b=4$

$\frac{9}{2}+b=4$

subtract 9/2 from both sides

$\frac{9}{2}+b-\frac{9}{2}=4-\frac{9}{2}$

$b=-\frac{1}{2}$

now substituting m = 3/2 and b = -1/2 in the slope-intercept form of the line equation

$y = mx+b$

$y=\:\frac{3}{2}x\:+\:\left(-\frac{1}{2}\right)$

$y=\:\frac{3}{2}x\:-\frac{1}{2}$

Therefore, the slope-intercept form of the line equation is:

$y=\:\frac{3}{2}x\:-\frac{1}{2}$

8 0

3 years ago

(HELP ASAP!!) An exterior angle of a triangle is 152°. If the non-adjacent angles are congruent, then what are the measures of a

tresset_1 [31]

Answer:

c) 28°, 76°, 76°

Step-by-step explanation:

The two remote interior angles sum to 152°. Since they are congruent, their measures are 152°/2 = 76°. The adjacent interior angle is the supplement of 152°, so is 180°-152° = 28°.

The interior angles are 28°, 76°, 76°. . . . . matches choice C

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4 years ago