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Mademuasel [1]
3 years ago
6

Riverside Elementary School is holding a school-wide election to choose a school color. Five eighths of the votes were for blue,

five ninths of the remaining votes were for green, and the remaining 48 votes were for red. How many votes were for blue? How many votes for green?
Mathematics
1 answer:
Lapatulllka [165]3 years ago
6 0
1) Write out what you know
       Blue: 5/8
       Green: 5/9 (of 3/8 because it is the remaining parts) so 5/24
       Red: 1 - (5/8 + 5/24) = 1/6
2) Find the total amount of people
       You know that 1/6 of the population is 48, so the total population is 288 (48×6)
3) Multiply the total population by the fractions to get the number of votes
       Blue: 288 × 5/8 = 180 votes
       Green: 288 × 5/24 = 60 votes

Check: 180 + 60 + 48 = 288 votes

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How to find the equation of this line?
Bad White [126]

Answer:

y = - \frac{6}{7} x - \frac{10}{7}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 4, 2 ) and (x₂, y₂ ) = (3, - 4) ← 2 points on the line

m = \frac{-4-2}{3+4} = - \frac{6}{7} , thus

y = - \frac{6}{7} x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 4, 2 ), then

2 = \frac{24}{7} + c ⇒ c = 2 - \frac{24}{7} = - \frac{10}{7}

y = - \frac{6}{7} x - \frac{10}{7} ← equation of line

5 0
3 years ago
How many inches are there a in 13 feet
Andrews [41]

Answer:

156

Step-by-step explanation:

13 x 12 = 156

4 0
3 years ago
If 18.9 million computers were in use in 1980 and the number is rising by 19% annually, predict the number of computers in use i
4vir4ik [10]
18.9(1+0.19)^35, 35 is the number of years
use your calculator, you should get 661.5, round to the newest whole number 662million

4 0
3 years ago
7. In the accompanying diagram of rhombus CDEF, diagonal FD is drawn and the
tatiyna

Answer:

m∠CFD is 70°

Step-by-step explanation:

In the rhombus

  • Diagonals bisect the vertex angles
  • Every two adjacent angles are supplementary (their sum 180°)

Let us solve the question

∵ CDEF is a rhombus

∵ ∠E and ∠F are adjacent angles

→ By using the second property above

∴ ∠E and ∠F are supplementary

∵ The sum of the measures of the supplementary angles is 180°

∴ m∠E + m∠F = 180°

∵ m∠E = 40°

∴ 40° + m∠F = 180°

→ Subtract 40 from both sides

∵ 40 - 40 + m∠F = 180 - 40

∴ m∠F = 140°

∵ FD is a diagonal of the rhombus

→ By using the first property above

∴ FD bisects ∠F

→ That means FD divides ∠F into 2 equal angles

∴ m∠CFD = m∠EFD = \frac{1}{2} m∠F

∴ m∠CFD = \frac{1}{2} (140°)

∴ m∠CFD = 70°

6 0
3 years ago
Consider the following 8 numbers, where one labelled
cupoosta [38]

Answer:

x = 73

x = -35

Step-by-step explanation:

Here are the 8 numbers:

34, 31, 15, x, 17, 4, 20, 25

Here are the 8 numbers in ascending order with x as the greatest number:

4, 15, 17, 20, 25, 31, 34, x

x - 4 = 69

x = 73

Here are the 8 numbers in ascending order with x as the smallest number:

x, 4, 15, 17, 20, 25, 31, 34

34 - x = 69

-x = 69 - 34

-x = -35

x = -35

Answer:

x = 73

x = -35

8 0
2 years ago
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