Fill in the blanks to express the quantities given in ratio language. Ratios must be expressed in simplest form.

\text{Number of Votes Cast for Each Candidate:}

Number of Votes Cast for Each Candidate:

Candidate Votes

Candidate A 35

Candidate B 49

Candidate C 28


For every (blank)

votes cast for Candidate B, there were (blank )

votes cast for Candidate A.

Answers

Answer 1

Answer:

For every 7 votes cast for Candidate B, there were 5  votes cast for Candidate A.

Step-by-step explanation:

Given:

Candidate          Votes

Candidate A        35

Candidate B        49

Candidate C        28

To find:

For every (blank)  votes cast for Candidate B, there were (blank )  votes cast for Candidate A

Solution:

First we have to find the ratio of B and A

B : A

49 : 35

Now lets simplify the above ratio:

reduce the ratio using greatest common factor (GCF).

Use factorization method:

Write the numbers 35 and 49 as the product of their divisors.

The factors of 35 are: 1, 5, 7, 35  

This means 35 is divided by 1, 5, 7 and 35 itself

The factors of 49 are: 1, 7, 49  

This means 49 is divided by 1, 7 and 49 itself

Both have 7 common in them

Hence the greatest common factor is 7.

Next, divide both terms i.e. 35 and 49 by the greatest common factor, 7

49 / 7 = 7

35 / 7 = 5

The ratio 49 : 35 can be reduced to lowest terms by dividing both terms by the greatest common factor GCF = 7

So,

49 : 35 = 7 : 5

Hence

For every 7 votes cast for Candidate B, there were 5  votes cast for Candidate A.


Related Questions

There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
To the nearest meter, how many meters are in 119 inches?

Answers

Answer:

there is 5.0546meters

Step-by-step explanation:

1m=100cm

x =2.54cm

2.54cm=0. 0254m

so,

0.0254m=1inch

y =199inch

y = 0.0254×199m

y=5.0546m

whats the value of x (9x+5)° (5x+1)°

Answers

Answer:

x=1

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

Estimate the square root. Round to the nearest integer.
V56

Answers

The 2 square numbers closest to 56 are 49(7x7) and 64 (8x8)

So the square root is somewhere between 7 and 8

56 is 7 away from 49 and 8 away from 64 so we know the number will round to 7 but be fairly close to 7.5.

A good estimation would be 7.4

It’s asking you to round to the nearest integer (no decimals) so this would be 7

Because square roots are both positive and negative and it’s asking for it as an integer (includes negative numbers), the answers is +7 or -7. Both are the correct answer

What is 2x(3x+4)????

Answers

Answer:

The answer to your question is: 6x² + 8x.

A line has this equation: y = -2x-5 Write an equation for the parallel line that goes through (-3,-5).​

Answers

Answer:

Step-by-step explanation:

y + 5 = -2(x + 3)

y + 5 = -2x - 6

y = -2x - 11

help needed please!!

Answers

Answer:

B

Step-by-step explanation:

Supplementary angles are when the sum of 2 angles is 180 degrees this does not mean the angles are congruent, the only way for them to be congruent is if they both were 90 degrees.

Find the coordinates of the missing endpoint if B is the midpoint of AC. A(1,7),B(-3,1)

Answers

Answer:

C(-7,-5)

Step-by-step explanation:

b is the mid point of AC

the coordinate of A ( 1,7)

the coordinate of B (-3,1)

XB=  (XA+XC)/2

-3 = (1+XC)/2

-6=1+XC

XC=-6-1 =-7

YB=(YA+YC) /2

1=(7+YC)/2

2=7+YC

YC=2-7

YC=-5

C(-7,-5)

A factory is fabricating seats for a minor league baseball stadium. The stadium holds 7,500 individuals and the factory can fabricate 300 seats per day. If 600 seats have already been made, how long will it take for the factory to finish 7,500 seats in total?

Answers

Answer: 23 days

Step-by-step explanation:

7500-600 = 6900

6900/300 = 23

image

The figure above shows the graph of h(x) = x+1−−−−√3– 2, a translation of the parent function g(x) = x−−√3. How is the graph of the parent function translated?

Question 5 options:

A)

Left 1 unit and up 2 units

B)

Left 1 unit and down 2 units

C)

Right 1 unit and up 2 units

D)

Right 1 unit and down 2 units

Answers

Answer:

B.

Step-by-step explanation:

                                   

The graph is translated 2units to the left and 1 unit up.

What is transformation of graph?

Transformation of a graph is defined as the changes in the shape of the coordinate plane of the given function by rotation, reflection and translation. Translation is rigid movement in the parent graph either vertically or horizontally.

According to the question,

Parent square function f(x) is transformed to create a new function g(x) .

f(x) = √x

g(x) = √x-2+1

As we can see x is shift by x-2 which explains graph is translate 2 units to the left.

(x-2+1) : +1 is representing 1 unit up.

Hence, the graph is translated 2units to the left and 1 unit up.

Learn more about transformation of graph here.

brainly.com/question/10059147

#SPJ2

Explain why kilobytes and terabytes would not be descriptive measurements for the amount of space on an average USB storage device (8 - 256 GB).

Answers

Answer:

The storage capacity of the USB is far greater than Kilobytes, but less than a Terabyte.

Step-by-step explanation:

QUESTION 1 Solve. -10x + 5 = 7x + 5​

Answers

Answer:

x=0

Step-by-step explanation:

Mary spent $8 of the $40 that
she had. What is this as a
fraction?

Answers

Answer:

8/40 is the correct answer

Simplify by combining like terms.

0.5x-x​

Answers

Answer:

[tex]-0.5x[/tex]

Step-by-step explanation:

[tex]0.5x-x[/tex]

First we need to simplify 0.5x-x.

[tex]0.5x+-x[/tex]

We need to combine like terms. Now add parenthesis.

[tex](0.5x+-x)[/tex]

[tex]-0.5x[/tex]

Now you got an answer!

Hope this helps!

How do you determine where to put the units in the conversion factor when filing in your fraction to work with

Answers

well first you have to find which is the top number and the top is called the numerator and which is the bottom number And it’s the called the denominator.

6x+2y=-2 plus 3x-2y=-5

Answers

The equation 9x=-7 But X is equal to x=-7/9

If 3(m+2)-5=m+2, what is the value of m+2

Answers

Answer:

m=.5

Step-by-step explanation:

There were 25 problems on a test. For each correct answer, 4 points given. For each incorrect answer, 1 point was subtracted. Tania answered all 25 problems. Her score was 85. How many correct and incorrect answers did she have?

Answers

Answer:

the answer is that tania got  21 correct and 4 incorrect

Step-by-step explanation:

Find x I been trying to find this it so long

Answers

the answer is 35 centimeters

PLEASE HELP ITS DUE IN A FEW

Answers

Answer: a= 1/6 b+5/6 c
The answer is A=1/6b +5/6c

Which expression is equivalent to 10p - 35?
a) 5(2p-7)
10(-35)
5p(2-7)
d
10p(-35)

Answers

Answer:

a: [tex]5\left(2p-7\right)[/tex]

Step-by-step explanation:

[tex]10p-35[/tex]

[tex]5* \:2p-5* \:7[/tex]

[tex]5\left(2p-7\right)[/tex]

pls help asap!!!!!!!!!!!!!!!!

Answers

Answer:

7 seconds

Step-by-step explanation:

Since we know that the car travels 3 feet per second, we can divide 21 feet by 3 feet to find the number of seconds ( 21÷3=7)

7 secs 21 feet by 3 feet

What does theorem mean in geometry?

Answers

Answer:

A theorem is a statement that can be demonstrated to be true by accepted mathematical operations and arguments. In general, a theorem is an embodiment of some general principle that makes it part of a larger theory. The process of showing a theorem to be correct is called a proof.

Step-by-step explanation:

:)

Answer:

A theorem is a statement that can be demonstrated to be true by accepted mathematical operations and arguments. In general, a theorem is an embodiment of some general principle that makes it part of a larger theory. The process of showing a theorem to be correct is called a proof.

(6x9) x 10^3 the value

Answers

The answer is 54,000

That is the answer because:
Following PEMDAS
6*9=54
So you now have
54*10^3
10^3=1000
54*1000=54000

1. What is the product of 6.8 and 4.7?
A. 3.196
AB. 31.96
C. 319.6
D. 3196

Answers

Answer:

A

Step-by-step explanation:

Answer:

31.96

Step-by-step explanation:

Product means muliplaction.

6.8*4.7=31.96

Which sequence of transformations proves congruence from parallelogram EFGH to parallelogram
E'F'G'H'?

A. Reflect across the x-axis, then rotate 180°

B. Rotate 180°, then reflect across the x-axis

C. Translate 12 units down, rotate 90° clockwise, then reflect across the y-axis

D. Rotate 90° counterclockwise, reflect across the y-axis, then reflect across the x-axis​

Answers

Answer:

D.

Step-by-step explanation:

Answer:

its definitely D hope I helped

What value of y satisfies the system of equations {9x+2y=24y=6x+19

Answers

Step-by-step explanation:

Equation 1: 9x + 2y = 24y, 9x = 22y, x = 22/9 y.

Equation 2: 24y = 6x + 19,

24y = 6(22/9 y) + 19

24y = 44/3 y + 19

28/3 y = 19

Hence, y = 19 * 3/28 = 57/28.

I am confused. what is 5r– 7 = 2r+ 14

Answers

Answer:

r=7

Step-by-step explanation:

5r-7=2r+14

add sevento both sides

5r=2r+21

Subtract 2r from both sides.

3r=21

divide both sides by 3

r=7

4/7 ,5/8 ,6/11 ,2/3 write in ascending order.​

Answers

Answer:

6/11, 4/7, 5/8, 2/3

Step-by-step explanation:

I would really appreciate some help :)

Answers

Answer:

is the answer 7 i think sorry if it not correct but i think it is

Answer:

x ≥ 1: first photox ≥ 3: second photo

What is the y-intercept of the function, y = 3x -5?

Answers

Answer:

If you plug in 0 for the x value, you get y=−11.

Step-by-step explanation:

okkkkkk

hope it help mark as brainlist

Answer:

-5

Step-by-step explanation:

y=3x-5

-3x+y=-5

y=-5

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