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Goshia [24]
3 years ago
10

A total of 120,000 votes were cast for 2 opposing candidates, Garcia and Pérez. If Garcia won by a ratio of 5 to 3, what was the

number of votes cast for Pérez?
Mathematics
1 answer:
elena55 [62]3 years ago
6 0
Total votes = 120,000
Gracia won by a ratio of 5 : 3
so, total votes earned by Gracia = 5/8 * 120,000 = 75000


<span>So, number of votes cast for Pérez = (120000 - 75000)
</span>                                                   = 
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a parent died and left an estate to four children. One inherited 1/2 the second inherited 1/8 and the third inherited 1/4. how m
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1/2+1/8+1/4=7/8    
4/8+1/8+2/8=7/8

1-7/8 = 3/8
the fourth on inherited 3/8 of the estate.
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A map is drawn to scale so that 1.2 cm represents 30 miles.How many miles does 1.4 cm represent?
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The length of a rectangle is four times its width. If the perimeter of the rectangle is 90 cm, find its area
Sunny_sXe [5.5K]

Answer:

324

Step-by-step explanation:

L = 4W

P = 2L + 2W = 90

---

2L + 2W = 90

2(4W) + 2W = 90

8W + 2W = 90

10W = 90

---

W = 9

L = 36

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A = 324

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7 0
3 years ago
What is the change in y between the points (1, 4) and (6, -19)? -15 -23 5
Ksivusya [100]

Answer: -23

Step-by-step explanation:

The change in y value can be determined by subtracting the first value from the second.

-19 - 4 = -23

Or if you think about it logically you are going from a positive number to a negative so the total distance will be greater than both of your values.

5 0
3 years ago
Give the equation of a line that goes through the point ( − 21 , 2 ) and is perpendicular to the line 7 x − 4 y = − 12 . Give yo
nlexa [21]

Given:

Equation of line 7x-4y=-12.

To find:

The equation of line  that goes through the point ( − 21 , 2 ) and is perpendicular to the given line.

Solution:

The given equation of line can be written as

7x-4y+12=0

Slope of line is

\text{Slope}=-\dfrac{\text{Coefficient of x}}{\text{Coefficient of y}}

m_1=-\dfrac{7}{(-4)}

m_1=\dfrac{7}{4}

Product of slopes of two perpendicular lines is -1. So, slope of perpendicular line is

m_1m_2=-1

m_2=-\dfrac{1}{m_1}

m_2=-\dfrac{4}{7}           [\because m_1=\dfrac{7}{4}]

Now, the slope of perpendicular line is m_2=\dfrac{4}{7} and it goes through (-21,2). So, the equation of line is

y-y_1=m_2(x-x_1)

y-2=-\dfrac{4}{7}(x-(-21))

y-2=-\dfrac{4}{7}x-\dfrac{4}{7}(21)

y-2=-\dfrac{4}{7}x-12

y=-\dfrac{4}{7}x-12+2

y=-\dfrac{4}{7}x-10

Therefore, the required equation in slope intercept form is y=-\dfrac{4}{7}x-10.

7 0
3 years ago
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