In an election for school president, the loser received 70% of the winner's votes. If 969 votes were cast, how many did each receive?

Answer:

m∠B = 105°

Step-by-step explanation:

Given

We know that the sum of angles in a triangle = 180°

A + B + C = 180°

x + 5 + 3x + x = 180°

5x + 5 = 180°

5x = 180° - 5

5x = 175

x = 175 / 5

x = 35

Thus, the measure of ∠B will be:

m∠B = 3x

         = 3(35)

         = 105°

m∠B = 105°

Answer:

the awnser is 4g because if you multiply the -4 by 6 and 5 g you get the equation: -24+-20g.. subtract -24 from -20 you will get 4g

Answer:

3/2, 0.75,-3/2, -24

Step-by-step explanation:

I think that's the answer

Answer:  The flagpole is about 22.3 feet tall.

This is roughly the size of a two story building, assuming each floor is 10 feet or so.

Since this height is under 25 ft, this flagpole is in compliance with the regulation.

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Work Shown:

The horizontal leg of the triangle is 36 ft. This is the adjacent leg to the reference angle 25 degrees.

The vertical leg of the triangle is x-5.5, and this leg is the opposite side to the reference angle 25 degrees.

Use the tangent rule to connect the opposite and adjacent sides.

Solve for x.

tan(angle) = opposite/adjacent

tan(25) = (x-5.5)/36

36*tan(25) = x-5.5

x-5.5 = 36*tan(25)

x = 36*tan(25)+5.5

x = 22.28707569358

x = 22.3 ft is the approximate height of the flagpole

Make sure your calculator is in degree mode.

The height is not over 25 ft, so this flagpole meets the requirements.

Answer:

C

Step-by-step explanation:

Pls make me brainliest

Answer:

The answer is C 1/2 and 7/14

Two equivalent ratios for a proportion

To determine whether the two ratios form a proportion, you can compare them using a common denominator

1/2 = 7/14

1x7 = 7

2x7 = 14

7/14 = 7/14

Answer:

Here is the domain and range

Step-by-step explanation:

(0,0), (-6,6) , (3,1), (3,2), (3,-2), (8,9), (0,1), (1,0)

Answer:

Step-by-step explanation:

The standard form is (x - h)2 = 4p (y - k), where the focus is (h, k + p) and the directrix is y = k - p. If the parabola is rotated so that its vertex is (h,k) and its axis of symmetry is parallel to the x-axis, it has an equation of (y - k)2 = 4p (x - h), where the focus is (h + p, k) and the directrix is x = h - p.

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x < 33/4

Interval Notation:

(− ∞, 33/4)

Answer:

687

Step-by-step explanation:

1 yard=3 feet

229 yds x 3 ft=687 ft

Answer:5 inches

Step-by-step explanation:

Answer:

it will go up 1 dollar now i had to do it in my head

Step-by-step explanation:

mabey if im wrong sorry

Answer:

It's true,

I'm sure about it

Answer:(24/60)*7=2.8 miles

Step-by-step explanation:

24/60x7

Answer:

the answer to your question is 33.4

Answer:

it is 862.5

Step-by-step explanation:

each inch is 115 miles, so if theres two inches theres double the amount that there would be if there was 1 inch, so if theres 7 inches then you would have 7 times the amount it would be if there was 1 inch, in this situation theres 7.5 so you would multiply the 115 miles by 7.5 becuase that's how many inches there is, so multiplying that is the same as adding 115 plus 115 plus 115, and so on till you get the amount you need. did this help?

15/20

Figure out what number to use for simplify

Which is 5

Divide the numerator and denominator by 5

15/5=3

20/5=4

Answer:3/4

Answer:

five trucks per hour

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

The student solved the inequality correctly, but the graph incorrectly represents the solution calculated.

Step-by-step explanation:

Answer:

3r = 7/10

3r = 0.7

r = 0.7/3

r = 0.23

Step-by-step explanation:

Answer:

the green caterpillar is 5/3 inches or 1 2/3 inches longer than the orange caterpillar

Step-by-step explanation:

Subtract 3 1/3 by 1 2/3

Answer:

1 2/3 in longer

Step-by-step explanation:

Green: 3 1/3 = 10/3 (Multiply the whole number by the denominator and add that to the numerator for the new numerator).

Orange: 1 2/3 = 5/3

Difference: 10/3 - 5/3 = 5/3 (When subtracting fractions with the same denominators, just subtract the numerators and leave the denominators the same).

5/3 = 1 2/3 (To convert to a mixed number, divide numerator by denominator. The remainder is the new numerator and the quotient is the whole number).

Answers:

mean annual income =  $13,646.35

median annual income = $3,650

The median is a better measure of center

=======================================================

Explanation:

If you earn $10 a day, and do so for 365 days, then you earn 365*10 = 3650 dollars per year.

If there are 999 employees earning this amount, then the amount earned is 999*3650 = 3,646,350

Add on the 10,000,000 to get

10,000,000+3,646,350 = 13,646,350

The total amount earned is $13,646,350

Divide this over the 1000 people (999 workers + 1 boss)

We get: (13,646,350)/(1,000) = 13,646.35

The mean is annual income is $13,646.35

--------------------------------

The median is the middle most value. If you list out the pay amounts of just the workers, you'll get the list:

{3650, 3650, 3650, ..., 3650}

We will have 999 copies of 3650 listed out. You don't have to list all 999 of them. Just a few is a good start. The three dots indicate the pattern goes on until we reach the 999th item.

If we then tack on the overseer's pay, then we have the list

{3650, 3650, 3650, ..., 3650, 10 million}

I'm using "million" instead of the digits to avoid using commas here.

The middle won't change due to one item being tacked onto the end. The middle is going to be 3650 either due to it being part of the set, or we find the midpoint between 3650 and 3650, which averages out to 3650.

The median income is $3,650

-----------------------------------

The median income is the better measure of center because it represents where the workers are instead of some distant "midpoint" between the workers and the boss. No person is making $13,646.35 a year. They are either making $3,650 or they are making $10,000,000. There's nothing in between. So it's better go lean toward the larger group when deciding where the center should go. Think of it like a balance beam or a see-saw.

As you can see the median is not affected by outliers. We can change the "ten million" to something like "a hundred million" and the median would still be the same. I recommend you compute the mean if the overseer earns 100 million dollars, and you'll find the mean will increase dramatically. However, the median will stay where it's at. The only time the median will change is if we introduce elements that are somewhere around (either higher or lower) than 3650, and these values are close to 3650. But this won't change the center very much compared to the drastic changes the mean undergoes due to such a large outlier.

The general rule of thumb is: a large outlier to the right pulls the mean to the right. An outlier to the left pulls the mean to the left. In this case, the mean is pulled to the right. The data is skewed to the right (or positively skewed).

So again, the conclusion is that the median is the better measure of center.

Answer: Responding for points

Step-by-step explanation:

Answer:

33/35

Step-by-step explanation:

I think

Answer:

All of the degrees add up to 90. Therefore, right angle.

Answer:

Step-by-step explanation:

0.2(red) + 0.05(pink)

=0.25

=1/4

ALLWAYS REMEMBER OR MEANS ADD AND AND MEANS MULTIPLY

The probability of pulling a red card or a pink card is [tex]\frac{1}{4}[/tex].

To remember -

Therefore, the probability of pulling a red card or a pink card is [tex]\frac{1}{4}[/tex].

Know more about probability here:

https://brainly.com/question/24756209

#SPJ2

Answer:

D. ten tenths x 13

Step-by-step explanation:

ten tenths are equal to one meaning that expression is equal to 13

1 x 13=13  

Answer:

y=50+45x.

Step-by-step explanation:

It says  $50 plus $45 So add them and x represents the hour so y=50+45x