On a hot summers day 262 people used the public swimming pool. The daily prices are 1.50 for children and 2.00 for adults. The receipts for admission totalled 470.00. How many children and how many adults swam st the pool that day?

Answers

Answer 1
Answer:154 adults108 childrenStep-by-step explanation:

Let x represent the number of adults who swam at the pool. Then (262-x) is the number of children. Multiplying these numbers by the corresponding admission charge will give the associated receipts. We are given the total of receipts, so we can write the equation ...

... 2.00x +1.50(262-x) = 470.00

... 0.50x +393.00 = 470.00 . . . . . simplify

... 0.50x = 77.00 . . . . . . . . . . . . . . .subtract 393

... 77.00/0.50 = x = 154 . . . . . . . . . divide by the coefficient of x

... (262-x) = 108 . . . . . . . . . . . . . . . .find the number of children admitted


Related Questions

find the value of the following expression. Write your answers without any exponents.

Answers

a)7^-2=1/7^2=1/49

b) (8^4)^2/8^11=8^8/8^11=1/8^3=1/512.



Final answer:

To find the value of an expression without exponents, divide numbers and subtract the exponents for division, and when squaring, multiply the number by itself. Any number raised to the power of 2 is squared, and to the power of 3 is cubed.

Explanation:

To find the value of an expression without any exponents, you might need to use the rule: to divide two exponential numbers, divide the numbers out front and subtract the exponents. Here's an example:

If we have to find the value of 106 ÷ 103, you'll divide 10 by 10 (which is 1) and subtract the exponents (6 - 3), resulting in 103, which equals to 1000 when you remove the exponent.

In the context of squaring exponents, when you square a number like 52, it means 5 x 5, which equals 25. Squaring is also known as raising to the power of 2. Similar to this, any number raised to the power of 3 is said to be cubed.

These concepts are fundamental when calculating extreme values like $rac{4.81x10^4}{2.05x10^2}$, solving quadratics, and handling scientific notations.

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There are 12 apples in a basket. 5 of these apples are green. The rest of them are red. (a) What is the ratio of red apples to all apples in the basket? (b) What is the ratio of red apples to green apples?

Answers

A) you to 12-5= 7
B) there are 2 more red apples than green apples

This is a plane with two axes as a frame of reference. The x-axis is a horizontal line and the y-axis is perpendicular to it (i.e., the y-axis is vertical). The intersection of the two axes is called the origin.

Answers

Answer:

Coordinate Plane

Step-by-step explanation:

This is a plane with two axes as a frame of reference. The x-axis is a horizontal line and the y-axis is perpendicular to it (i.e., the y-axis is vertical). The intersection of the two axes is called the origin.

Answer with explanation:

≡This plane is Called→ Two Dimensional Coordinate plane or x y plane.And the given statement is true Statement.

The Plane has two axes as a frame of reference. The x-axis is a horizontal line and the y-axis is perpendicular to it (i.e., the y-axis is vertical). The intersection of the two axes is called the origin.

⇒The value of x lies from (-∞,∞) .x∈[-∞,∞]

And ⇒,the value of y lies from (-∞,∞).y∈[-∞,∞]

And the points in this plane is represented in terms of Ordered pairs that is in the form of , (x,y).

→There are four Quadrants , in this plane and description of points is as follows:

In First Quadrant , both ,x and y positive.

In Second Quadrant  ,x negative, and y positive.

In Third Quadrant  ,x negative and y Negative.

In Fourth Quadrant  ,x positive and y Negative.


For someone who is clinically underweight and has been encouraged by their doctor to gain a few pounds, how many calories per day should someone consume to gain 2 pounds in two weeks assuming they burn 2000 calories per day?

Answers

I think the answer to the question is 500 calories per day.

Answer:

2500 total calories per day.


Step-by-step explanation:

Assuming that 3500 excess calories produces 1 pound gain, 7000 excess calories required for 2 pound gain


to be accomplished in 14 days


7000/14 = 500 excess calories per day

2000 required calories per day

2500 total calories per day.




Which situation can be modeled by the inequality 48−10x≥8?

A. You have $48 to spend on socks, but you need to save at least $8 to pay for the bus trip home. You plan to spend the rest on socks at $10 each (including tax).

B. You loaned $48 to your older brother. He pays you $8 a week and needs to pay you back within 10 weeks.

C. You can buy socks in packages of 10 pairs. You have $48 to spend but want to have at least $8 left.

D. You owe your parents $48 and plan to pay them $10 a week until you owe them less than $8.

Answers

Answer:

A. You have $48 to spend on socks, but you need to save at least $8 to pay for the bus trip home. You plan to spend the rest on socks at $10 each (including tax).

Step-by-step explanation:

cause it's A

Answer:

A. You have $48.00 to spend on socks, but you need to save at least $8.00 to pay for the bus trip home. You plan to spend the rest on socks at $10.00 each (including tax).

Step-by-step explanation:

find the value of x. please help

Answers

Answer:

36.6

Step-by-step explanation:

The rule for secants is pretty simple. The product of the distance from the external point to the near intersection with the circle and the distance to the far intersection with the circle is a constant.

This means ...

... BC × AC = DC × (DC+x)

... 8 × 26 = 5 × (x +5) . . . . . AC=AB+BC = 18+8 = 26

... 208 = 5x +25 . . . . . . . . . simplify

... 183 = 5x . . . . . . . . . . . . . subtract 25

... 36.6 = x . . . . . . . . . . . . . divide by 5

There are 325 children at a zoo. If 64% of the children are boys and the rest are girls, how many children at the zoo are girls?

*Please Show Work*

Answers

Greetings!

Answer:

117 girls

Step-by-step explanation:

If 64% are boys, the percentage of girls can be found by subtracting this amount from 100:

100 - 64 = 36

So 36% of 325 are girls.

To find the amount from a percentage use the following formula:

Original amount * [tex]\frac{percentage}{100}[/tex]

Now plug these values in:

[tex]325 * \frac{36}{100}[/tex] = 117

So there are 117 girls in the 325 children.


Hope this helps!

Answer:

117

Step-by-step explanation:

If 64% are boys, then 36% are girls. 36% of 325 equals 117, so there are 117 girls at the zoo.

Help please #10 if you can

Answers

Answer:

200,000 m

Step-by-step explanation:

We will multiply the length of the ant by the number of ants to find out how long the line is.

10 million is 10 with 6 zeros

20 * 10 ^-3   move the decimal 3 places to the left

20. * 10 ^-3  = .02

.02 * 10000000

200000


20*10^-3=0.02. Then, simply multiply 0.02 by 10 million (10,000,000). You get 200,000 m.

Conner bought some pears.He used 2/6 of the pears to make dessert.He gave 1/4 remainder to his neighbor.What fraction of the pears did he give to his neighbor

Answers

First, let's subtract 1 (100%) by 2/6:

1 - 2/6 = 4/6

Knowing that Conner gave his neighbor 1/4 of the remainder, we simply have to multiply 4/6 by 1/4:

4/6 * 1/4 = 4/24 = 1/6

Conner gave 1/6 of his pears to his neighbor.

Can you please help me solve 18 and 21 please?

Answers

Answer:

18. x = y = -3

21. y was substituted into the wrong equation. The solution is (x, y) = (2, 1).

Step-by-step explanation:

18. Adding y to the first equation transforms it to ...

... x = y

Then you can substitute for either variable in the second equation.

... 2y -5y = 9 . . . . . substitute for x

... -3y = 9 . . . . . . . . simplify

... y = -3 . . . . . . . . . divide by the coefficient of y

.. x = -3 . . . . . . . . . x and y have the same value

___

21. The first equation is being used to find an expression for y in terms of x. If you substitute that expression back into the same equation, it will tell you nothing you didn't already know. (Here, it is telling you 5 = 5.) The expression is only useful if you substitute it into a different equation. Here, it needs to be substituted into the second equation:

... Step 2: 3x -2(-2x+5) = 4 ⇒ 7x -10 = 4 . . . . . substitute for y in the second eqn

... Step 3: 7x = 14 . . . . . add 10

... Step 4: x = 2 . . . . . . . divide by 7

... Step 5: y = -2·2 +5 = 1 . . . . . find the value of y from x using the expression from step 1. Now, you know the solution is (x, y) = (2, 1).

_____

The attached graph shows the solution to the problem of 21.

Six friends go out to lunch and decide to split the bill evenly. The bill comes to $61.56. How much does each person owe?

Answers

Answer:

each person owe $10.26

Step-by-step explanation:

Six friends go out to lunch and decide to split the bill evenly. The bill comes to $61.56.

Total bill for 6 friends = $61.56

To find bill cost for 1 person we divide the total cost by 6

Bill for each person = [tex]\frac{61.56}{6}= $10.26[/tex]

So each person owe $10.26

I’m prettying pretty sure they’ll owe 10.26

Sophia puts $250 in the bank with a 2.5% annual interest rate compounded monthly. If Sophia does not touch his money, how much money will she have after four years? A) $260.00 B) $275.00 C) $275.95 D) $276.26

Answers

Answer:

D) $276.26

Step-by-step explanation:

Deposited amount initially (P) = $250.

Rate of interest(r) = 2.5% compounded monthly = 0.025

Number of years (t) = 4.

Number of months in an year (n) = 12.

Formula for compound interest:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex].

Plugging values in formula, we get

[tex]A= 250(1+\frac{0.025}{12})^{12\times 4}[/tex]

[tex]A= 250(1.00208)^{48}[/tex]

[tex]A= 250\times \:1.10506[/tex]

A=276.26.

Therefore, correct option is  D) $276.26.

Jaden made a pot of chili with 48 ounces of ground beef and 2 tablespoons of chili powder. He made another pot of chili with the same amount of ground beef, but he used 3 times as much chili powder. How many pounds of ground beef per tablespoon of chili powder did he use in the second pot of chili

Answers

Answer:

So, it is given to us that Jaden has 3 pound of beef in the first pot and 2 table spoons of chili powder.

(16 ounces = 1 pound)

(48 ounces = 3 pounds)

In he second bowl he uses the SAME amount of beef and 3 times as much chili powder.

Which means that he used 3 pounds of beef and 2*3 = 6 table spoons of chili powder in the second cup.

The question is asking you for the ratio between the two quantities in a cryptic manner.

so, it would end up being 3 pounds of beef every 6 table spoons of chili powder, which is nothing but Half (0.5 pounds of beef every tablespoon of chili powder).

1/2 pounds of beef every tablespoon of chili powder.

HOPE THIS HELPS!

Final answer:

Jaden used 0.5 pounds of beef for every tablespoon of chili powder in the second pot of chili when he tripled the amount of chili powder while keeping the amount of beef unchanged.

Explanation:

In the first pot of chili, Jaden effectively used 48 ounces of beef per 2 tablespoons of chili powder. This equates to 24 ounces of beef per tablespoon of chili powder. However, when Jaden tripled the amount of chili powder in the second pot, the ratio of beef to chili powder decreased since more chili powder is being used for the same amount of beef. Therefore, since he used three times as much chili powder in the second pot, this resulted in a ratio of 48 ounces of beef per 6 tablespoons of chili powder. That equates to 8 ounces of beef for every tablespoon of chili powder which are used in the second pot. Furthermore, since 1 pound equals 16 ounces, the number of pounds of beef used per tablespoon of chili powder in the second pot is 8/16, or 0.5 pounds.

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Tanya's science class had a quiz on 13 of the first 40 days of class. Which is this ratio as a decimal?

Answers

Answer:

.325

Step-by-step explanation:

If she had a quiz on 13 of the 40 days , the fraction is 13/40

13/40 = .325

Answer: The fraction of the days on which the quiz has been held expressed as a decimal is 0.325

Step-by-step explanation:

Decimal numbers are not considered as integers. They are rounded off to write an integer.

Fraction is present in the form of [tex]\frac{p}{q}[/tex] where [tex]q\neq 0[/tex]

We are given:

Number of days, the class had quiz = 13

Total number of days = 40

The fraction becomes: [tex]\frac{13}{40}[/tex]

Expression this as a decimal = 0.325

Hence, the fraction of the days on which the quiz has been held expressed as a decimal is 0.325

help! with explanations if possible

Answers

Answer:

5

Step-by-step explanation:

1. according to the condition

[tex]\frac{price \ radio1}{price \ radio2} =\frac{x}{y}[/tex]

2. when the both prices are increased the ratio is

[tex]\frac{x+20}{y+20}=\frac{5}{2}[/tex]

3. when the both prices are reduced the ratio is

[tex]\frac{x-25}{y-25} =\frac{5}{1}[/tex]

4. using the equations written in steps 2&3 it is possible to make up the system of the two equations:

[tex]\left \{ {{\frac{x+20}{y+20}=\frac{5}{2}  } \atop {\frac{x-25}{y-25}= \frac{5}{1} }} \right.[/tex]

where x=160; y=52.

5. ration x:y=5.

What is the
GCF of 4 and 3?

Answers

Answer:

12

Step-by-step explanation:


Answer:

1

Step-by-step explanation:

The factors of 3 are: 1, 3

The factors of 4 are: 1, 2, 4

Then the greatest common factor is 1.


which if the following quartic functions has x = 1 and x =

Answers

Answer:

y = x⁴ +4x³ +4x² +4x +3

Step-by-step explanation:

The coefficients of the offered quartics (in order) have 1, 1, 1, and 0 sign changes, respectively. Descartes' rule of signs tells you this means the first three choices all have one (1) positive real root, so the negative real roots -1 and -3 are not the only ones.

The only possible polynomial is the last one. Synthetic division of that polynomial by roots -1 and -3 leave the remaining factor as x²+1, which has only complex zeros.

The appropriate choice is ...

... y = x⁴ +4x³ +4x² +4x +3

Can someone please help me with this?

P=2l+2w and you're looking for what l is. The answer should be an equation.

Thanks so much!!!

Answers

Answer:

l = (P -2w)/2

Step-by-step explanation:

When you're working any "solve for ..." problem, first you look to see where the variable of interest is and what is done to it.

If it is only found on one side of the equation, as here, then you're in luck. If it is only found in one term, as here, you have even better luck.

Identify all the terms on the side of the equation where the variable is located that do not contain the variable. Add their opposite to both sides of the equation. The result will be a term containing the variable, equated to a bunch of other stuff.

... P -2w = 2l . . . . . we added -2w to both sides of the equation

Now, we divide the equation by the coefficient of the variable.

... (P -2w)/2 = (2l)/2

... (P -2w)/2 = l . . . . . . simplify. This is the solution you're looking for

If you like, you can distribute the multiplication by (1/2) to get

... l = P/2 - w

Permutations and Combinations!

how many 5 digit numbers can be formed that do not contain the digits 0 or 8?

Answers

Answer:

9×9×8×7×6= 27,216


Step-by-step explanation:

Your answer is :- 9×9×8×7×6= 27,216

Why did i multiply 9×9×8×7×6 ⤵️

Because we can fill each place of a five digit number with ten digits (0,1,2,3,4,5,6,7,8,9).

Now, let us assume the five digit number is abcde, where each alphabet represent a digit.

so according to our question a cannot be equal to 0 ( a≠0), because if a will be equal to zero then our number will be a four digit number. So a can be equal to 9 digits.

b digit can also be equal to 9 numbers. why??because we can place zero on the position of b and only one number will not be repeated which is a.

Now for c, d, e :- accordingly no number will be repeated so on the place of c, there can be 8 digits. On the place of d, there can be 7 digits. And on the place of e there can be 6 digits.

Therefore,

a×b×c×d×e=9×9×8×7×6=27,216


A bridge over a gorge is supported by an arch in the shape of a semi-ellipse. The length of the bridge is 400 ft. and the maximum height is 100 ft. Draw a picture of the problem and label it with numeric values. Find the height of the arch 50 ft. from the center. Round to the nearest foot.

Answers

Final answer:

To find the height of the arch 50 ft. from the center, we can use the equation of a semi-ellipse. The height of the arch is approximately 31 ft. when rounded to the nearest foot.

Explanation:

To find the height of the arch 50 ft. from the center, we can use the equation of a semi-ellipse. The equation of a semi-ellipse with a length of a and a maximum height of b is given by: ((x^2)/(a^2))+((y^2)/(b^2)) = 1. In this case, the length of the bridge is 400 ft. and the maximum height is 100 ft., so we have: ((x^2)/(200^2))+((y^2)/(100^2)) = 1. To find the height when x = 50 ft., we substitute x = 50 into the equation and solve for y. Plugging in the values, we get: ((50^2)/(200^2))+((y^2)/(100^2)) = 1. Simplifying, we have: (2500/40000)+((y^2)/(100^2)) = 1.

Multiplying both sides by 40000 to get rid of the denominators, we have: 2500 + 400((y^2)/10000) = 40000. Simplifying further, we get: 2500 + 40(y^2) = 40000. Subtracting 2500 from both sides, we have: 40(y^2) = 37500. Dividing both sides by 40, we have: (y^2) = 937.5. Taking the square root of both sides, we have: y = 30.62. So, the height of the arch 50 ft. from the center is approximately 31 ft. when rounded to the nearest foot.

The table shows the total distance (d), in kilometers, a bicycle traveled after t hours.

Time in hours (t) Distance in kilometers (d)

(t) (d)

0 0

1 8

2 16




Which equation shows the relationship between d and t?


d=8t

d=16t

d=t+8

d=t+16

Answers

Greetings!

Answer:

d = 8t

Step-by-step explanation:

To find a correlation, you need to find what numbers correlate and how.

Lets try multiplying the t value by 8 to get the value ( as one value is 1 and the other is 8 so it would seem suitable)

1 * 8 = 8

2 * 8 = 16

Both values match up which means that to get d, you multiply t by 8.

This means that your answer is d = 8t.


Hope this helps!

Zoomfast Tire & Battery stores are selling new steel-belted radial tires. They promise that when these tires are used your car will get 10% better gasoline mileage. If Gloria's red convertible now goes 420 miles on a tank of gasoline, how far could she drive on a tank if she switched to the new tires?

Answers

Answer:

462 mi

Step-by-step explanation:

Gloria gets 420 mi/tank.

10 % of 420 is

420 × 0.10 = 42 mi

She will be able to drive an extra 42 mi.

420 + 42 = 462 mi

With her new tires, a tank of gas will take her 462 mi.

Answer:

462

Step-by-step explanation:

to find 10% of 420 you take

420 x .10 = 42

then add 42 to 420

420+42=462

1. 2 + √c = 27
625
5
841
12.5
5.4

2.
Solve

√x = 3

81
3
1.7
27
9

3. √(x-2) = 4
14
0
18
4
16

4. Solve
1.8
2
21.6
216
18

5. √(2x) = 1
0.5
1.4
0.25
4
2

Answers

Answer:625918??0.5Step-by-step explanation:

Get the surd by itself, then square and solve the resulting linear equation.

1. Subtract 2, then square

... √c = 25

... c = 25² = 625

2. √x = 3

... x = 3² = 9

3. √(x-2) = 4

... x -2 = 4²

... x = 16 +2 = 18 . . . . add 2

5. √(2x) = 1

... 2x = 1²

... x = 1/2 . . . . . . . divide by the coefficient of x

Teachers' salaries in north dakota the average teacher's salary in north dakota is $35,441. assume a normal distribution with s $5100.

a. what is the probability that a randomly selected teacher's salary is greater than $45,000?

b. for a sample of 75 teachers, what is the probability that the sample mean is greater than $38,000?

Answers

Answer:

a) about 3.0%b) about 7×10^-6

Step-by-step explanation:

These sorts of calculations are best done with a calculator that knows statistics.

a) The z-value of the limit ofv interest is (45,000 -35,551)/(5100) ≈ 1.8743. The empirical rule tells you between 16 and 2.5% of the distribution will lie above a limit that is between 1 and 2 standard deviations. So, our calculator value of 3% is approximately correct.

b) The standard deviation of the sample mean is reduced by a factor of √75 from that of the parent distribution for a sample size of 75. Then the z-value is ...

... (38,000 - 35,441)/(5100/√75) ≈ 2559/588.90 ≈ 4.345

The probability of exceeding this valus is pretty small, about 6.95×10^-6.

a b c or d please hurry thanks!

Answers

Answer:

C)  a = 10√3, b = 5√3, c = 15 , d = 5

Step-by-step explanation:

Here we use the ratio of 30, 60, 90 degree triangle.

The ratio of sides, 1:√3:2

2x = 10

x = 5

d = 5

b = 5√3

c = 5√3√3

c = 5*3 = 15

c = 15

a = 2(5√3)

a = 10√3

Therefore, a = 10√3, b = 5√3, c = 15 and d = 5

Thank you.

Answer:

The correct answer is C.


Step-by-step explanation:

From the [tex]60\degree[/tex] right angle triangle

[tex]\sin(60\degree)=\frac{b}{10}[/tex]


[tex]10\times \sin(60\degree)=b[/tex]


[tex]10\times \frac{\sqrt{3}}{2}=b[/tex]


[tex]5\sqrt{3}=b[/tex]

From the same [tex]60\degree[/tex] right angle triangle,



[tex]\cos(60\degree)=\frac{d}{10}[/tex]


[tex]10\times \cos(60\degree)=d[/tex]


[tex]10\times \frac{1}{2}=d[/tex]


[tex]5=d[/tex]


From the [tex]30\degree[/tex] right angle triangle



[tex]\sin(30\degree)=\frac{b}{a}[/tex]


[tex]\frac{1}{2}=\frac{5\sqrt{3}}{a}[/tex]


[tex]a=2\times 5\sqrt{3}[/tex]


[tex]a=10\sqrt{3}[/tex]

From the same [tex]30\degree[/tex] right angle triangle,

[tex]\cos(30\degree)=\frac{c}{a}[/tex]


[tex]\frac{\sqrt{3}}{2}=\frac{c}{10\sqrt{3}}[/tex]


[tex]10\sqrt{3} \times \frac{\sqrt{3}}{2}=c[/tex]



[tex]5 \times 3=c[/tex]


[tex]c=15[/tex]


The correct answer is C.








the system of equations n=m and n=4m is the point (0,0). which of the following statements is true.

A. (0,0) is a solution to n=m and to n=4m.

B.No point no the line n=m is also on the line n=4m.

C.every solution to n=m is also a solution to n=4m.

D.the graph of the solution is parallel lines.

Answers

Answer:

A. (0,0) is a solution to n=m and to n=4m.

Step-by-step explanation:

The equations can be solved by any of the usual means. Using substitution, we have ...

... m = n = 4m

... m(4 -1) = 0 . . . . subtract the left side

... m = 0 . . . . . . . . divide by 3

... n = m = 0

The solution is (m, n) = (0, 0).

Answer:

the answer is A, my answer got deleted

Observe the two functions on the graph.

Match each function with a type of function.

f(x):
g(x):

exponential
quadratic
cubic
linear

Answers

The graph of [tex] f(x) [/tex] is a straight line, so it is a linear function.

The graph of [tex] g(x) [/tex] has the same shape of the graph of [tex] y=e^x [/tex] (for example), so it is an exponential function.

Answer:

f(x) is linear

g(x) is exponential

Step-by-step explanation:

exponential  -> It is a graph of half curve

quadratic  -> it is a graph of a U shaped curve

cubic  -> it is a graph of a full curve that goes top and bottom

linear -> It is a graph of a line

In the give graph f(x) is a line graph , so it is Linear

The graph g(x) is a curve that goes at the top not at the bottom. Its like a half curve. so it is an exponential

help please? i would really appreciate it.

Answers

Answer:

The answer is option C i.e; y=0.9x-45

Step-by-step explanation:

When you substitute the values of x you have to get same values as given in the table

For example: substitute x=50 in the equation y=0.9x-45

Y= 0.9(50)-45

Y= 45-45

Y=0


I paid $8.50 each for movie tickets and i spend a total of $144.50. If n, represents how many tickets i bought, write and equation that would allow me to find the number of tickets

Answers

Answer:
$144.50/8.50 = n

Explanation:
The word each indicates this equation will use division. We know the total is 144.50, so that will be the number being divided. 8.50 is the number 144.50 is divided by. The quotient will be represented by the variable, n.

Answer:

the Answer would be 17.     Hope it helped ; )

Step-by-step explanation:


Algebra help anyone?

Answers

Answer:

The answer is 20

Step-by-step explanation:

Given that f(2)=1/5

And f(n+1)=f(n)*10

Let's start from n=2

f(2+1)=f(2)*10

f(3)=(1/5)*10

f(3)=2

Now let's take n=3

f(3+1)=f(3)*10

f(4)=2*10

f(4)=20

Other Questions
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