Caleb is planning a visit to an amusement park. He wants to figure out how many roller coasters he could ride and how many shows he can watch in 345 minutes.

Each roller coaster takes 5 minutes to ride. He estimates that the average wait time for a roller coaster is 30 minutes.

Caleb wants to ride 3 more roller coasters than the number of shows he watches. Each show takes 25 minutes.

how many shows can he watch and how many rides can he ride?

Answer:5/12

Step-by-step explanation:2/3-1/4=5/12

For this case we must raise a rule three:

1 recipe ----------------------->[tex]\frac {2} {3}[/tex] butter

[tex]\frac {1} {4}[/tex]recipe -------> x

Where the variable "x" represents the amount of butter that requires a quarter of the cookie recipe.

[tex]x = \frac {\frac {1} {4} * \frac {2} {3}} {1}\\x = \frac {2} {12} = \frac {1} {6}[/tex]

So, Anna requires[tex]\frac {1} {6}[/tex] cup of butter

ANswer:

[tex]\frac {1} {6}[/tex]

Answer: 6/15-5/15=1/5

Answer:

Step-by-step explanation:

To find the common denominator, you must multiply 5 times three to get fifteen. Then you must multiply two times three and then one times three. Your two fractions with the same denominator would be 6/15 minus 5/15 your answer would be 1/15

Answer:

If the coin is fair, then the chances of you getting heads is equal to the chances of getting heads. This means the chances of always getting tails on a  fair coin is close to nothing, if not 0.

Step-by-step explanation:

Answer:

The answer is unlikely

Step-by-step explanation:

Answer:

[tex]-x^5+3x^4+16x^3+7x^2-3x+6[/tex]

Step-by-step explanation:

Given polynomials are:

[tex]x^5-4x^4+7x^3+8[/tex], [tex]9x^3+7x^2-10[/tex] and [tex]-2x^5+7x^4-3x+8[/tex]

Now we need to add the given polynomials, then place the answer in the proper location on the grid. Also we need to write answer in descending powers of x.

So let's add them by combining like terms:

[tex]x^5-4x^4+7x^3+8+9x^3+7x^2-10-2x^5+7x^4-3x+8[/tex]

[tex]-x^5+3x^4+16x^3+7x^2-3x+6[/tex]

Hence final answer in descending order is [tex]-x^5+3x^4+16x^3+7x^2-3x+6[/tex]

Answer:

Step-by-step explanation:

Given:  f(x)=5x^3-51x^2+77x+100/x^2-11x+24

Please use parentheses to eliminate any ambiguity:

      f(x) = (5x^3-51x^2+77x+100) / (x^2 - 11x + 24)

or (better yet):

                  5x^3-51x^2+77x+100

        f(x) = ---------------------------------

                      x^2 - 11x + 24

The vertical asymptotes here are at the zeros of the denominator:

x^2 - 11x + 24 = 0,  This quadratic equation has coefficients a = 1, b = -11 and c = 24.  Thus, its roots (zeros) are:

       -(-11) ± √( 121 - 4(1)(24) )

x = -------------------------------------

                    2(1)

or:

        11 ± √( 25 )

x = --------------------

                 2

or:  x = 8 and x = 3

The vertical asymptotes are x = 8 and x = 3.

If we attempt to divide x^2 - 11x + 24 into 5x^3 - 51x^2 + 77x + 100, we see that the first term of the quotient is 5x.  As x increases or decreases without bound, 5x goes to either ∞ or -∞, so we conclude that there is no horiz. asymptote.  Continuing this division results in:

5x + 4 + a fraction

This represents the slant asymptote, y = 5x + 4

Answer:

5x+4

Step-by-step explanation:

edge 2020 2021

Answer:

Step-by-step explanation:

I think it might be the third one

Supplementary angles are angles that add up to 180 degrees, aka one straight line. The supplementary angles here are:

1 and 2, 1 and 3, 2 and 4, 3 and 4, 5 and 6, 6 and 8, 7 and 8, and 6 and 7. Well, those are the more obvious ones. 1 and 7 are supplementary because if you envision them next to each other, you’ll see that they create a straight line. So, with that logic, 3 and 5 are supplementary because when you put them together, they create a straight line

Angle ∠5 and angle ∠3 are supplementary angles. Then the correct option is C.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Linear angle - If the total of two angles is 180 degrees, they are said to be linear angles.

From the figure, the supplementary are given below.

The angles ∠1 and ∠2, ∠3 and ∠4, ∠5 and ∠6, ∠7 and ∠8, ∠1 and ∠3, ∠2 and ∠4, ∠5 and ∠7, and ∠6 and ∠8 are supplementary angles.

The sum of angle ∠5 and angle ∠3 is 180 degrees.

Then Angle ∠5 and angle ∠3 are supplementary angles.

Then the correct option is C.

More about the angled link is given below.

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Answer:

A. 72

Step-by-step explanation:

Answer:

72fl

Step-by-step

y = 2x - 5

Here’s a photo of the math

The equation will be y = 2x - 5

Given Equation: 4x - 2y = 10

Step 1: Move 4x to the other side to isolate -2y: -2y = -4x + 10

Step 2: Divide by -2 to solve for y: y = 2x - 5

Answer:

1 5/8 * 1/4 = d

Step-by-step explanation:

Let the number of marbles Tim has = X

Then Sue has twice as many, so she has 2X

Jim has 15.

All three of them when added together have 63:

x + 2x + 15 = 63

Combine like terms:

3x +15 = 63

Subtract 15 from both sides:

3x = 48

Divide both sides by 3:

X = 48 /3

x = 16

Tim has 16 marbles.

Colin will have £1344 in his bank account after 4 years. This is calculated using the simple interest formula I = PRT (Interest = Principal x Rate x Time) yielding an interest earned of £144 over four years, which was then added to the initial investment.

First, understand that simple interest is calculated as (principal amount × interest rate × time in years). The principal amount here is £1200, the interest rate is 3%, and the time period is 4 years.

Before doing the calculation, convert the 3% interest rate into decimal form by dividing by 100, yielding 0.03.

War is represented by the formula I = PRT, which means Interest = Principal x Rate x Time. So, use these values in the formula: £1200 * 0.03 * 4. This gives you £144, which is the interest earned after 4 years.

To find the total amount in Colin's account after 4 years, you need to add the interest earned to the principal amount. Therefore, £1200 (original amount) + £144 (interest) = £1344.

So, after 4 years, Colin will have £1344 in his bank account.

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Answer:

C. 3:2

D. 21:14

Step-by-step explanation:

The scale factor of the larger figure to the smaller figure is the factor

that gives the dimensions of the smaller figure from the larger figure.

Correct response:

The possible dimensions given in the question as obtained from a similar question are;

Diameter of a smaller cylinder = 12 m

Diameter of a larger cylinder = 18 m

The scale factor of the larger figure to the small figure is given by ratio

of the diameter diameters is found by dividing the diameter of the larger

figure by the diameter of the smaller figure as follows;

The ratio is 3:2

Therefore;

Learn more about scale factors here:

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Answer: 627-273

Step-by-step explanation:

Answer:

[tex]\large\boxed{(x^2-3x)(4x^2+2x-9)=4x^4-10x^3-15x^2+27x}[/tex]

Step-by-step explanation:

[tex](x^2-3x)(4x^2+2x-9)\qquad\text{use}\ (a+b)(c+d+e)=ac+ad+ae+bc+bd+be\\\\=(x^2)(4x^2)+(x^2)(2x)+(x^2)(-9)+(-3x)(4x^2)+(-3x)(2x)+(-3x)(-9)\\\\=4x^4+2x^3-9x^2-12x^3-6x^2+27x\qquad\text{combine like terms}\\\\=4x^4+(2x^3-12x^3)+(-9x^2-6x^2)+27x\\\\=4x^4-10x^3-15x^2+27x[/tex]

Answer:

A

Step-by-step explanation:

To determine the scale factor compare the quotient of the coordinates of the image with the original coordinates

A

[tex]\frac{2}{1}[/tex] = [tex]\frac{4}{2}[/tex] = 2

B

[tex]\frac{4}{2}[/tex] = [tex]\frac{8}{4}[/tex] = 2

C

[tex]\frac{8}{4}[/tex] = [tex]\frac{16}{8}[/tex] = 2

Hence the scale factor is 2

Slope-Intercept Form: y=mx+b

Standard Form: ax+by=c

Point- Slope: (y-y1)= m(x-x1)

There are multiple answers to your question-

Answer:

A pentagonal prism has 7 faces, 10 vertices, and 15 edges.

Step-by-step explanation:

Answer:

7, 15, 10

Step-by-step explanation:

The best thing to do is look a picture of a pentagonal prism first.

A pentagonal prism has two parallel pentagons as the bases and 5 lateral faces. The total number of faces is 7.

Each base has 5 edges. Then there are 5 edges from base to base. The total number of edges is 15.

Each base has 5 vertices. The total number of vertices is 10.

Answer:

The proportion is [tex]\frac{y}{x} =\frac{1}{25}[/tex]

Step-by-step explanation:

We have to:

In June 20 of 500 wagons failed

On July 25 of 625 wagons failed

If we call x the number of wagons and and the number of wagons that had failures then we have to for June:

[tex]\frac{y}{x} = \frac{20}{500}\\\\\frac{y}{x} = \frac{1}{25}[/tex]

For July we have

[tex]\frac{y}{x} = \frac{25}{625}\\\\\frac{y}{x} = \frac{1}{25}[/tex]

The proportions are the same for both months

[tex]\frac{20}{500} = \frac{25}{625}[/tex]

The proportion is [tex]\frac{y}{x} =\frac{1}{25}[/tex]

This means that of every 25 wagons, one has faults

Answer:

its D

Step-by-step explanation:

hope it helps!

took a test!

The answer is 2/5. (or 0.4 if you need a decimal answer.)

For this case we have that by definition, the slope of a line is given by:

[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}[/tex]

We must find two points through which the line passes:

[tex](x_ {1}, y_ {1}) :( 2,3)\\(x_ {2}, y_ {2}}: (- 3,1)[/tex]

Substituting:

[tex]m = \frac {1-3} {- 3-2} = \frac {-2} {- 5} = \frac {2} {5}[/tex]

Answer:

[tex]m = \frac {2} {5}[/tex]

Answer:

Option D. 5

Step-by-step explanation:

we know that

The initial value of the function is the y-intercept, so is the value of the function when the value of x is equal to zero

In this problem observing the table

For x=0

The value of y is equal to y=5

therefore

The initial value is 5

Answer:

It is 5!

Step-by-step explanation:

I just did the test and got it correct.

Answer with explanation:

W have to find the value of :

   [tex][A=1.93 \times 10^7] - [B=9.7 \times 10^6][/tex]

Here exponent of 10 differs in both of these terms. So, to find the difference of A and B, we should make exponent of 10 equal in both the terms.

Exponent of A is Higher,so we will try to make this equal to exponent of 10 in B.

[tex]A=1.93 \times 10^7\\\\A=19.3 \times 10^6\\\\A-B=19.3 \times 10^6-9.7 \times 10^6\\\\=(19.3-9.7) \times 10^6\\\\=9.6\times 10^6[/tex]

Answer:

There you go

Step-by-step explanation:

Answer:

3x+4=22

Step-by-step explanation

So, if you minus 4 from 22 and divided by 3, there will be the answer for x. Which is 6.

The equation that could be formed using the letter x to be represent the unknown number is 3x + 4 = 22

let

x = the unknown number

multiply it by three

= x × 3

= 3x

add four

3x + 4

I get twenty two

3x + 4 = 22

solve for x

3x = 22 - 4

3x = 18

x = 18/3

x = 6

Therefore, the unknown number in the equation 3x + 4 = 22 is 6

check:

3x + 4 = 22

3(6) + 4 = 22

18 + 4 = 22

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all you have to do is 524 times 2 and then add m3

there is a formula for the volume of a cylinder. use the given info to plug into formula

Answer:

V = (1/3)(π)(6 in)²(10 in) = 120π in³

Step-by-step explanation:

The volume of a cone of radius r and height h is V = (1/3)πr²h.

Here, that volume is V = (1/3)(π)(6 in)²(10 in) = 120π in³

Answer:

120pi

Step-by-step explanation:

12√18-6√20-3√50-8√45

*Break each radical up into the product of a radical of a perfect square and a second radical*

12(√9*√2)-6(√4*√5)-3(√25*√2)-8(√9*√5)

*Simplify the radicals*

12(3√2)-6(2√5)-3(5√2)-8(3√5)

*Distribute*

36√2-12√5-15√2-24√5

*Combine like terms*

21√2-36√5

Hope this helps!!

The simplified form of the expression is 21√2-36√5.

Given,

12√18-6√20-3√50-8√45

Here,

12√18-6√20-3√50-8√45

⇒ Break each radical up into the product of a radical of a perfect square and a second radical.

Rewriting the expression,

12(√9*√2)-6(√4*√5)-3(√25*√2)-8(√9*√5)

⇒ Simplify the radicals

12(3√2)-6(2√5)-3(5√2)-8(3√5)

⇒ Distributive property

36√2-12√5-15√2-24√5

⇒ Combine like terms

21√2-36√5

Thus the simplified expression is 21√2-36√5.

Know more about radicals,

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We want to find a fraction that is between

[tex]\frac{1}{4}\:and\:\frac{1}{2}[/tex]

There are several ways to go about this.

There are also infinitely many fractions that can be found between the given fractions.

Let us go for the one in the middle of the two fractions.

So we add the two fractions and divide by 2.

a) [tex]\frac{\frac{1}{4} +\frac{1}{2} }{2}[/tex]

Find LCM for the numerator

[tex]\frac{\frac{1+2}{4}}{2}[/tex]

Simplify:

[tex]\frac{\frac{3}{4}}{2}[/tex]

[tex]\frac{\frac{3}{2}}{2}[/tex]

[tex]\frac{3}{8}}[/tex]

b) [tex]\frac{\frac{1}{3} +\frac{3}{4} }{2}=\frac{13}{24}[/tex]

c)[tex]\frac{\frac{1}{2} +\frac{3}{4} }{2}=\frac{5}{8}[/tex]

d)[tex]\frac{\frac{3}{5} +\frac{7}{8} }{2}=\frac{59}{80}[/tex]

____________________________________________________

Answer:

Your answer would be 0.343.

____________________________________________________

Step-by-step explanation:

In the probability questions like this one, in order to get the answer,we would use the multiplication rule.

In your questions, we are trying to find the probability of ALL of your friends going to the mall with you.

Lets make it easier for you.

Whenever in probability you can say and, you multiply.

This means that you would try to find if friend 1 and friend 2 and friend 3 will say yes.

That's the same as saying friend 1's probability × friend 2's  probability × friend 3's  probability

We know that each friend has a 0.70 chance of saying yes.

Using the multiplication rule, we would just multiply 0.7 three times.

[tex]0.7 *0.7*0.7=0.343[/tex]

When you multiply, you should get 0.343.

There is a 0.343 chance of ALL your friends saying yes to go to the mall with you.

0.343 would be your FINAL answer.

____________________________________________________

To solve this problem, you need to consider the probability of each friend agreeing to go to the mall individually, then multiply these probabilities together to find the probability that all three will say yes.
Since each friend has a 0.70 chance of saying yes, we can calculate the combined probability as follows:
For the first friend, the probability is 0.70.
For the second friend, the probability is also 0.70.
For the third friend, the probability remains 0.70.
To find the combined probability that all three friends will say yes, we multiply the individual probabilities together:
\( Probability (All Say Yes) = Probability (Friend1 says Yes) \times Probability (Friend2 says Yes) \times Probability (Friend3 says Yes) \)
\( Probability (All Say Yes) = 0.70 \times 0.70 \times 0.70 \)
When you calculate this, you get:
\( Probability (All Say Yes) = 0.343 \)
So the answer is c. 0.343.

45 miles in one hour. You take the total of 315 and divide that by the 7 hours and that gives you how much is in the one hours

Answer:

45 MPH

Step-by-step explanation:

To find the unit rate - divide the total miles driven by the total number of hours

315/7 = 45 miles per hour

Answer:

1008

Step-by-step explanation:

To find the total outfits that can be created, we multiply the different number of stuff together. So the answer is 7*6*6*4 =  1008 outfits.

Answer:

I think it would be 1008.

Step-by-step explanation:

Hope this helps!!