At a football game, 92% of people attending were supporting the home team, while 8% were supporting the visiting team. If 1564 people attending the game supported the home team, what was the total number of people attending the game?

Answers

Answer 1
1564 = .92x

1564 / .92. = x

1700 = x
Answer 2

The total number of people attending the game is 1700.

What is Percentage?

Percentage in simple terms can be defined as a part per 100.

Percentage is a ratio or number which has to be defined as a fraction of 100.It is denoted by %.

If we are asked to calculate the percent of a number simply divide it by the whole part or number and then multiply with 100.

Percent of people supporting the home team = 92%

Number of people supporting the home team = 1564

Let x be the total number of people attending the game.

⇒ [tex]\frac{1564}{x}[/tex] × 100 = 92

⇒ [tex]\frac{1564}{x}[/tex] = 0.92

⇒ x = [tex]\frac{1564}{0.92}[/tex]

⇒ x = 1700

Hence, the total number of people attending the game will be 1700.

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Related Questions

pleas help in math!! i need an explanation on how you got he answer too please!!
(no links please!)

Answers

Answer:

a = 70 degrees.

Step-by-step explanation:

Use this circle angle theorem:

The angle subtended by an arc at the center of a circle = 2 times the angle subtended by the arc on the circumference.

So m < a = 1/2 * 140 = 70 degrees.

Please help with this problem. I don’t understand the answer for this equation. The answer for this equation is 7/2( a+ b) i’m just not understanding where the seven is coming from.

Answers

Answer:

7/2(a+b)

Step-by-step explanation:

To add fractions you need to find the LCM (least common multiplier) and then combine.

least common multiplier of a+b, 2(a+b) : 2(a + b)

Adjust fractions based of LCM

2/2(a + b) + 5/2(a +b)

2+5/2 (a + b) =

7/2 (a + b)

I hope this makes sense! :)

f(x)=2x^3-6x+k and the remainder when f(x) is divided by x+1=7 then what is the value of k

Answers

Given: f(x)=2x(cube)-6x+x

reaminder of f(x) when (x+1) diveded

to find value of k

solution,

f(x)=2x(cube)-6x+k

f(-1)=7

2(-1)(cube)+6+k=7

4+x=7

k=7

Hence,k=7

I need help please!!!!

Answers

Answer:

297 ft squared

Step-by-step explanation:

find the area of the triangle, which is (bh)/2

(22*7)/2=77

find the area of the rectangle (bh)

22*10=220

add

77+220=297

Tumbleweed, commonly found in the western United States, is the dried structure of certain plants that are blown by the wind. Kochia, a type of plant that turns into tumbleweed at the end of the summer, is a problem for farmers because it takes nutrients away from soil that would otherwise go to more beneficial plants. Scientists are concerned that kochia plants are becoming resistant to the most commonly used herbicide, glyphosate. In 2014 , 19. 7% of 61 randomly selected kochia plants were resistant to glyphosate. In 2017 , 38. 5% of 52 randomly selected kochia plants were resistant to glyphosate. Do the data provide convincing statistical evidence, at the level of α=0. 05 that there has been an increase in the proportion of all kochia plants that are resistant to glyphosate

Answers

Using the z-distribution, it is found that the data provides convincing evidence that the proportion has increased.

What are the hypotheses tested?

At the null hypotheses, it is tested if the proportion has not increased, that is, the difference of the 2017 proportion and the 2014 proportions is not positive, hence:

[tex]H_0: p_2 - p_1 \leq 0[/tex]

At the alternative hypothesis, it is tested if the proportion has increased, hence:

[tex]H_1: p_2 - p_1 > 0[/tex]

What are the mean and the standard error for the distribution of differences?

For each sample, they are given by:

[tex]p_1 = 0.197, s_1 = \sqrt{\frac{0.197(0.803)}{61}} = 0.0509[/tex]

[tex]p_2 = 0.383, s_2 = \sqrt{\frac{0.385(0.615)}{52}} = 0.0675[/tex]

Hence, for the distribution of differences, they are given by:

[tex]\overline{p} = p_2 - p_1 = 0.383 - 0.197 = 0.186[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0509^2 + 0.0675^2} = 0.0845[/tex]

What is the test statistic?

It is given by:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

In which p = 0 is the value tested at the null hypothesis.

Hence:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

[tex]z = \frac{0.186 - 0}{0.0845}[/tex]

z = 2.2

What is the decision?

Considering a right-tailed test, as we are testing if the proportion is higher than a value, the critical value at the 0.05 significance level is [tex]z^{\ast} = 1.645[/tex].

Since the test statistic is greater than the critical value for the left tailed test, the data provides convincing evidence that the proportion has increased.

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The measure of arc MQL IS degrees​

Answers

Answer: 214 degrees

Step-by-step explanation:

what is the inverse of f(x)=x^2+5

Answers

Answer:

[tex]\sqrt{X-5}[/tex], [tex]-\sqrt{X-5}[/tex]

Step-by-step explanation:

Replace X with Y

solve for Y; X = Y^2 + 5

subtract 5 from both sides

X - 5 = Y^2

take the square root

Y = plus or minus sqrt(X-5)

sqrt(X-5); -sqrt(X-5)

An angle measures 46° less than the measure of its complementary angle. What is the measure of each angle?

Answers

Answer:

68 and 22 degrees

Step-by-step explanation:

Complimentary angles sum to 90

x  +   (x-46) = 90

2x = 90 + 46

2x = 136

x = 68    and the other is 68 - 46 = 22

What is the slope of the line that passes through the points (-4, 13) and (6, -17)

Answers

the slope is -3 if you use the formula (y2-y1)/(x2-x1)

Simplify the expression.

Answers

Answer:

Step-by-step explanation:

Exponent rule:

[tex]\boxed{(a^{m})^{n}=a^{m*n}}[/tex]

[tex](x^{\frac{2}{5}})^{10} = x^{\frac{2}{5}*10} \\\\\\[/tex]

           [tex]=x^{2*2}\\\\=x^{4}[/tex]

Does the budgeted amount cover the actual amount for expenses, savings, and emergencies? a) no, it's short $207.00. b) no, it's short $227.00. c) yes, there's a surplus of $207.00. d) yes, there's a surplus of $227.00.

Answers

The expense amount is more than the savings amount. No, it's short $207 then the correct option is A.

What are statistics?

Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.

From the table, we have

The amount of the savings will be

Saving amount = $ 20

Then the amount of the expense will be

Expense amount = 150 + 75 + 2 = 227

Then the budgeted amount covers the actual amount for expenses, savings, and emergencies will be

→ savings amount - expense amount

→ 20 - 227

→ $ 207

Thus, the expense amount is more than the savings amount. No, it's short $207.

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The following points lie on a certain line.
х, у
-2, -11
1. -5
4, 1
6, 5
What is the equation of the line?
Oy=-3x + 3
Oy - 2x - 3
Oy - 2X-7
o y = -4x + 2

Answers

[tex]y = 2x - 7[/tex]

should be it

6 minutes3 minutes3 minutes 5 minutes 1 minute 3 minutes What is the mode

Answers

Answer:

the answer is 3.

Step-by-step explanation:

mode if what numberhappens most often

Graph 1 on the numberline?

Answers

Answer:

directly before 5/4

Step-by-step explanation:

graph a straight vertical line directly before 5/4

or maybe it's just asking for where the value 1 should is and it's the same.

Answer:

It is the line to the left of 5/4

Step-by-step explanation:

it goes 5/4 then 4/4 or 1 then 3/4,  2/4, 1/4 then 0

i cant figure this problem can you guys help/i cant figure this problem can you guys help?

Answers

Answer:

50.0in²

Step-by-step explanation:

C=2πr

25.12/2π=r

r=3.99(taking π=22/7)

Area=πr²

=22/7×(3.99)²=50.0in²

Which sequence of transformations shows that Figure A is similar to Figure B?



Rotate Figure A 180º about the origin, then dilate it with the center at the origin and a scale factor of 2.

Rotate Figure A 90º about the origin, then dilate it with the center at the origin and a scale factor of 2.

Reflect Figure A across the y-axis, then dilate it with the center at the origin and a scale factor of 12.

Dilate Figure A with the center at the origin and a scale factor of 2, then translate it to the left 4 units.

Answers

Answer:

That would be the second option:  Rotate Figure A 90º about the origin, then dilate it with the center at the origin and a scale factor of 2.

-yOuR nEiGhbOrhOoD cLEaNeR ;)

PLEASE HELP NOW!! NO LINKS PLEASE!
The wholesale price for a bookcase is $189. a certain furniture store marks up the wholesale price by 19%. find the price of the bookcase in the furniture store. round your answer to the nearest cent, as necessary.

Answers

Answer:

it is 35.91, 36 to the nearest cent

Step-by-step explanation:

I don't know how to explain it to u sorry

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Answer:

Perimeter of rectangle = 14x - 2

Area of rectangle = 10x² + x - 2

Step-by-step explanation:

Finding the perimeter of the rectangle:

⇒ Perimeter of rectangle = 2(L) + 2(B)

⇒ Perimeter of rectangle = 2(2x + 1) + 2(5x - 2)

⇒ Perimeter of rectangle = 4x + 2 + 10x - 4

Perimeter of rectangle = 14x - 2

Finding the area of the rectangle:

Area of rectangle = LB

⇒ Area of rectangle = (2x + 1)(5x - 2)

⇒ Area of rectangle = 10x² - 4x + 5x - 2

Area of rectangle = 10x² + x - 2

Answer:

Perimeter = 14x - 2

Area = 10x² + x - 2

Step-by-step explanation:

Formulae

Perimeter = 2W + 2L  Area = W x L

(where W is the width and L is the length)

Given information

width = 2x + 1length = 5x - 2

Perimeter

⇒ Perimeter = 2(2x + 1) + 2(5x - 2)

                     = 4x + 2 + 10x - 4

                     = 14x - 2

Area

⇒ Area = (2x + 1)(5x - 2)

             = 10x² - 4x + 5x - 2

             = 10x² + x - 2

A rhombus has a perimeter of 52 inches. It’s shorter diagonal is 10 inches in length. which of the following is the length of its longer diagonal?

Answers

Answer:

ok it's a good question... so answer to that is... I also don't know..

another question !!!

Answers

Answer:

All are complementary angles

Step-by-step explanation:

See attachment

If I were to be walking 8MPH How fast would I be walking per minute? PLEASE HELP. (Hint: Half of 8MPH is 4, so that would be 4 Miles every 30 minutes.)

Answers

Answer:

0.13 miles per minute

Step-by-step explanation:

If you walk 8 miles in an hour, that is 8 miles per 60 minutes. We can divide 8 by 60 to get the miles per minute because there are 60 minutes in an hour. 8/60 = 0.13 (3 is repeating)

The function P(x)=x^3−2x^2 is dilated by the function I(x)=P(4x).

Which function rule represents I(x)?

A.) I(x)=4x^3−8x^2
B.) I(x)=64x^3−32x^2
C.) I(x)=4x^3−2x^2
D.) I(x)=64x^3−2x^2

Answers

Answer:

Its C

Step-by-step explanation:

Why? because its C

It’s a if it’s not ask your teacher about your homework

The quotient of 36 and a whole number increased by 3, is 20 less than four times the number.
Find the number(s).

Answers

Answer: [tex]\frac{12}{19}[/tex]

The quotient of 36 and a whole number increased by 3, is 20 less than four times the number. The solution to the algebraic equation here are 6 and -4.

An algebraic equation or polynomial equation is an equation of the form P=0 where P is a polynomial with coefficients in some field, often the field of the rational numbers.

The algebraic equation becomes =

[tex]\frac{36}{x+3}-20 = 4x\\[/tex]

We simplify the equation to find the value of x.

[tex]=\frac{36}{x+3}+20 = 4x\\\\= \frac{36}{x+3} = 4x -20\\\\= \frac{36}{x+3} = 4(x-5)\\\\=36 = 4(x-5)(x+3)\\\\=9 = (x-5)(x+3)\\\\=x^2-5x+3x -15 = 9\\\\= x^2-2x-24=0\\\\=x^2-6x+4x-24=0\\\\=x(x-6)+4(x-6) =0\\\\=(x+4)(x-6) =0\\\\x = -4,6[/tex]

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You buy a car from your neighbor at a price of $9,000. You pay $500 down and pay 9.5% on the balance. If you make monthly payments of $200, how many months (to the nearest hundredth of a month) will it take to pay off the loan? (Hint: Solve for N.)

Answers

If the monthly payments mad s $200, the number of months it would take to pay off the loan is 46.54 months.

How many months would it take to pay off the loan?

The first step is to determine the total value of the loan.

Total value of the loan = (1 + interest) x amount of the loan

Amount of the loan = 9000 - 500 = $8,500

Total value of the loan = (1.095) x $8500 = $9307.50

Number of months it would take to pay off the loan = total value of the loan / monthly payments

$9307.50 / 200 = 46.54 months

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*HIGHER POINTS* Solve for m<A​

Answers

Answer:

The answer should be about 114.

Step-by-step explanation:

Of you look at the shape of the other angles. B and D seem to be about 90 and the shape of A is just a little bit bigger than ninety. I started by adding 78, 90, and 90 together which gave me 246. Then I subtracted 246 from 360 which gave me 114. I had estimated the answer to be around 110.

a cylindrical tank has a diameter of 24 dm And a height of 30, dm.how many litters of a water can it hold when full (1 dm³ = 1 L)​

Answers

You must find the area of the circle first, meaning you need to find the Radius. The radius is half of the diameter so:

R = 12

To find the area of a circle you must do (R)^2 x Pi (3.14)

Meaning you must do:

12 x 12 = 144 = (R)^2

144 x (3.14) Pi = 452.16

Next we need to find the volume of the tank, by using the area of the circle we can now use the formula Area ((R)^2 xPi (3.14)) x height

We know the height equals 30dm so:

452.16 x 30 = 13,564.8

As it is 1dm^3 to 1L we don’t need to divide anything to equal them as they are the same meaning the answer is

13,564.8 Litres

before getting to school john has a few errands to run john has to walk 5 blocks to the galley and 9 blocks to the library before walking the final 7 blocks to arrive at school if john has already walked 12 blocks how many more blocks must he walked before arriving school

Answers

Answer:

  9 blocks

Step-by-step explanation:

The total of what John has already walked and the number more he must walk will be equal to the number he has to walk to get to school.

  12 + more = 5 + 9 + 7

  more = 9 + 5 + 7 - 12 . . . . . subtract 12 from both sides

  more = 9

John must walk 9 blocks more.

_____

We recognize that 5+7 = 12, so that last part of the sum totals zero.

Find the measure of angle A.
(BRAINLIEST :D)

Answers

Answer:

180 - 90 - 60

Step-by-step explanation:

all internal angles of a triangle add up to 180. this means A must be equal to 180 - 90 - 60 = 30

Answer:

30

Step-by-step explanation:

A triangle always = 180 degrees :)

So first we can add :D

60 + 90 + a = 180

150 + a = 180

Now we subtract :)

180 - 150 = 30

The answer is 30!

Have an amazing day!!

Please rate and mark brainliest!!

what is the volume of the cylinder when the height is 13m and the radius is 10m

Answers

V≈ 4084.07m³ is the answer

help me with this math question​

Answers

x= 0.84106.. + 27n, r = 7 - 0.84106.. + 27n

[tex]\text{Given that,} \sin x = \dfrac{\sqrt 5}3,~~ \text{and}~~~ \sin y =\dfrac{\sqrt 2}2\\\\\\~~~~~~~\sin x = \dfrac{\sqrt 5}3\\\\\implies \sin^2 x = \dfrac 59\\\\\implies 1- \cos^2 x = \dfrac 59\\\\\implies \cos^2 x =1- \dfrac59 \\\\\implies \cos^2 x = \dfrac 49\\\\\implies \cos x = \dfrac 23~~~~~~~;[\text{In quadrant I, all ratios are positive.}]\\\\\\\\[/tex]

[tex]~~~~~~\sin y =\dfrac{\sqrt{2}}2\\ \\\implies \sin y = \dfrac 1{\sqrt 2}\\\\\implies \sin^2 y = \dfrac 12\\\\\implies 1-\cos^2 y = \dfrac 12\\\\\implies \cos^2 y = 1-\dfrac 12=\dfrac 12\\\\\implies \cos y = \dfrac 1{\sqrt 2}\\\\\\[/tex]

[tex]\text{Now,}\\\\\cos(x+y) = \cos x \cos y - \sin x \sin y\\\\\\~~~~~~~~~~~~~~=\dfrac 23 \cdot \dfrac 1{\sqrt 2}- \dfrac{\sqrt 5}3 \cdot \dfrac 1{\sqrt 2}\\\\\\~~~~~~~~~~~~~~=\dfrac{2- \sqrt 5}{3\sqrt 2}\\\\\\~~~~~~~~~~~~~~=\dfrac{\sqrt2\left(2 -\sqrt 5 \right)}6[/tex]

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