Eric traveled to three cities on a single highway. The distance from his original location to the first city was 100 miles more than the distance from the first city to the second city. The distance from the second city to the third city was 10 miles less than the distance from the first city to the second city. If the distance from his original location to the first city and the distance from the second city to the third city were the same, what was the total distance Eric traveled?
A. 120 miles
B. 200 miles
C. 280 miles
D. 360 miles
E. 400 miles

[tex]\bf \textit{volume of a cylinder}\\\\ V = \pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=10\\ h=8 \end{cases}\implies V=\pi (10)^2(8) \\\\\\ V=800\pi \implies V\approx 2513.27[/tex]

Answer:

V = 800π

Step-by-step explanation:

The formula for volume of a cylinder is V = πr²h  where r is the radius of the base circle, and h is the height of the cylinder

We are given r = 10, and h = 8.  Plug them in and solve for V...

V = π(10²)(8)

    V = π(100)(8)

          V = 800π

This is the EXACT answer.  Leave it in terms of pi.  If you multiply out pi, you have to round, then you have an estimated answer.

Answer:

60 square meters

Step-by-step explanation:

The area of a triangle is with the formula A = 1/2 b*h. The base and height are the measurements of the sides of a triangle which form a 90 degree angle. When all three measurements are given, the base and height are the smallest since the largest is the hypotenuse. Here b = 8 and h = 15.

So the area is A = 1/2 * 8 * 15 = 60.

Answer:49,000

Step-by-step explanation:you just multiply it

Answer:

He earned $3 per hour for mowing lawns.

Step-by-step explanation:

I did the assignment

Answer:  a = 11.1

Step-by-step explanation:

a(0.3 - y) + 1.1 + 2.4x = 0

Let y = 1.3 → a(0.3 - 1.3) + 1.1 + 2.4x = 0 → -a + 1.1 + 2.4x = 0 → a = 1.1 + 2.4x

(y - 1.2) = -1.2(x - 0.5)

Let y = 1.3 → (1.3 - 1.2) = -1.2(x - 0.5) → 0.1 = -1.2x + 0.6 → -0.5 = -1.2x → [tex]\dfrac{50}{12}=x\ \rightarrow\ \dfrac{25}{6}=x[/tex]

a = 1.1 + 2.4x

   [tex]=1.1+2.4\bigg(\dfrac{25}{6}\bigg)[/tex]

   = 1.1 + 0.4(25)

   = 1.1 + 10

   = 11.1

Answer: I agree with 11.1

Step-by-step explanation:

Answer:

Opt. D. AB=WX

Step-by-step explanation:

If we take the rectangle from its original position and then rotate it 90° we will see that the horizontal sides will form now vertical sides. That is Why AB side is now WX.

Answer: 204.333333333

Step-by-step explanation:

Answer:

204.3

Step-by-step explanation:

6 cannot be divided by 1, so you move to the next number and divide it by 12

6 fits into 12 TWO times, so subtract 12 by 12.

Bring down the 2 from the original problem

6 cannot fit into 2, so the number is 0

Bring down the 6 from the original problem

6 fits into 26 FOUR times, there for the next answer number is four

If you need a remainder, there is a REMAINDER of 2

If you need a decimal, 0 will continue to be brought down, but nothing will fit into 20.

The decimal is .333 repeating

The attachment should make it more clear.

x^2+3x-8-2x^2+x-5

Collect Like Terms and Simplify

-x^2+4x-13

Therefore D is the correct answer

Answer:

I GOT U ITS C DIDN'T HAVE TIME TO WRITE EXPLANATION SEEMS U IN A HURRY

Step-by-step explanation:

Answer:

The maximum number of points is [tex]140\ points[/tex]

Step-by-step explanation:

we know that

Essay question represent the 10% on Mrs. Moore's English final exam

so

To find the number of points in Essay questions multiply the percent by total questions and then multiply by the value of 10 points each

[tex]10\%=10/100=0.10[/tex]

[tex]0.10*50=5\ Essay\ questions[/tex]

[tex]5*10=50\ points[/tex]

The remaining questions are

[tex]50-5=45\ questions[/tex]

To find the number of points in the remaining questions multiply the number of remaining questions by the value of 2 points each

[tex]45*2=90\ points[/tex]

therefore

The maximum number of points is

[tex]50\ points+90\ points=140\ points[/tex]

Answer:

B:960cm^3

Step-by-step explanation:

12*8=96

96/2*20=960∴

ans:960cm^3

Answer:

(-6, 3)

Step-by-step explanation:

What you do is based off the image point (-9, 5). What you do is you go 3 units right which is like -9+3=-6. Then you will go 2 units down which is like 5-2=3.

(-6, 3) is your answer.

The image point of (-9,5) after a translation right 3 units and down 2 units is (-6,3).

We add 3 to the x-coordinate for the right translation and subtract 2 from the y-coordinate for the downward translation.

The image point of (-9,5) after a translation right 3 units and down 2 units can be found by changing the x-coordinate and the y-coordinate according to the translation vectors. Since we are moving right, we add 3 to the x-coordinate, and since we are moving down, we subtract 2 from the y-coordinate. The step-by-step process is:

Translate right 3 units: Add 3 to the x-coordinate (-9). So, -9 + 3 = -6.

Translate down 2 units: Subtract 2 from the y-coordinate (5). So, 5 - 2 = 3.

Therefore, the image point after the translation is (-6,3).

Answer:

2x+3y

Step-by-step explanation:

first you group up the sides and subtract from the perimeter to get the last side. then combine all the sides to see if your answer is correct.

Now, as the pizza is circular, so it does not matter about the box shape. If the box shape increases or decreases, the pizza shape is the same.

Now, we have been asked about the largest pizza radii that can fit in the box, so we will consider the shortest value of the box.

The width is given as 14 inches. There is a 2 inch border around the pizza. So, the width is 14-4 = 10 inches. (Now assume this as the diameter of pizza)

And the radius is = [tex]\frac{10}{2}=5[/tex] inches.

So, the largest pizza that can fit in the box will have a radius of 5 inches.

Answer:

50 nickels, 20 quarters.

Step-by-step explanation:

System of equations (q = # of quarters, n = # of nickels):

q + n = 70, 0.25q + 0.05n = 7.50

the first equation can be changed to q = 70 - n, so we are able to substitute q with 70 - n.

So, it will look like 0.25*70 - 0.25n + 0.05n = 7.50. This can be simplified to 0.2n = 10, which means that n = 50.

Knowing that we can solve q + 50 = 70, which means that q = 20.

By applying algebraic principles, it's determined that Kevin and Randy Muise have 20 quarters and 50 nickels. We've used two equations to solve this two-variable problem. The first equation comes from the total number of coins, and the second comes from the total value of the coins

The subject of this question is a classic two-variable algebra problem. We have two unknowns here: the number of quarters (which we'll call Q) and the number of nickels (which we'll call N).

From the given information in the question, we can create the following equations:

Essentially, the first equation states that the total number of coins is 70, and the second equation is representative of the total value in dollars of the coins.

From the first equation, we can isolate one variable: N = 70 - Q.

Substituting this value into the second equation gives us

0.25Q + 0.05(70 - Q) = 7.50

⇒0.20Q +3.50 =7.50

⇒0.20Q= 4

⇒Q= 20

Solving this equation gives us the value of Q (number of quarters) = 20.

Substituting Q = 20 into our first equation: 20 + N = 70, we can find the value of N (number of nickels) = 50.

So, Kevin and Randy Muise have 20 quarters and 50 nickels.

https://brainly.com/question/24875240

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Divide the volume by the height to find the area of the base:

3042 / 18 = 169 square cm

Since the base is square both the length and the width are the same,

so find the length take the square root of the base:

Side length = √169 = 13 cm

1 whole divided by 4 parts is the same as saying each part is 1/4 or 25% of the whole.

8.25 divided by 100=0.0825

Answer:

5652 cm³

Step-by-step explanation:

V = 2πr² + 2πrh

  = (2 × 3.14 × 3.14 × 20 ×20) + (2 × 3.14 × 20 × 25)

  = 2512 + 3140

  = 5652 cm³

Answer:

B

Step-by-step explanation:

If p and q are both true, then p→q is true.

If p is true, q is false, then p→q is false.

If p is false, q is true, then p→q is true.

If p and q are both false, then p→q is true.

So if you know that p→q and p are both true, then q must be true (because if q is false, then p→q must be false).  

Answer:

y = 13

Step-by-step explanation:

If Mr Gan packs 3 candies in each bag, he will have 4 extra candies left over. Therefore

3x + 4 = y

where 'x' represents the number of bags, and 'y' the total number of candies he has.

If Mr. Gan packs 5 candies in each bag, he will be short of 2 candies.

5x - 2 = y

To find the number of candies he has, we need to solve the system of equations ove:

3x + 4 = 5x - 2

6 = 2x

x = 3

Now, to find 'y':

5(3) - 2 = y

y = 13

Therefore, Mr. Gan has 13 candies.

Mr. Gan could have 7, 10, 13, or 16 candies.

Let's assume that Mr. Gan has x candies.

If he packs 3 candies in each bag, he will have 4 extra candies left over. This means that the total number of candies can be expressed as 3n + 4, where n is the number of bags. Since we know that Mr. Gan has fewer than 20 candies, we can set up the inequality:

3n + 4 < 20

Solving this inequality, we find that n < 5.

If he packs 5 candies in each bag, he will be short of 2 candies. This means that the total number of candies can be expressed as 5m - 2, where m is the number of bags. Using the same reasoning, we can set up the inequality:

5m - 2 < 20

Solving this inequality, we find that m < 4.

Combining the two inequalities, we know that n < 5 and m < 4. Since n and m represent the number of bags, they must be positive integers. So the possible values for n are 1, 2, 3, and 4, and the possible values for m are 1, 2, and 3.

If we substitute these values into the equations, we can find the corresponding number of candies:

If n = 1, then 3n + 4 = 7 candies.

If n = 2, then 3n + 4 = 10 candies.

If n = 3, then 3n + 4 = 13 candies.

If n = 4, then 3n + 4 = 16 candies.

If m = 1, then 5m - 2 = 3 candies.

If m = 2, then 5m - 2 = 8 candies.

If m = 3, then 5m - 2 = 13 candies.

Since Mr. Gan has fewer than 20 candies, the only possible values for the number of candies he has are 7, 10, 13, and 16.

Let's do this in steps, show your work!   | Make sure to ask questions!

#1. Simplify 5x - 4 + 3 to 8x - 4.

8x - 4 = 36.

#2. Add 4 to both sides.

8x = 36 + 4.

#3. Simplify 36 + 4 to 40.

8x = 40.

#4. Divide both sides by 8.

x = 40/8.  <------ It turned into a fraction because it's easier to not divide a decimal.

#5. Simplify 40/8 to 5.  

x = 5.

Answer:

see below

Step-by-step explanation:

Let q = number of quarters

Each quarter is worth .25

The total is 9.50

.25q = 9.50

Divide each side by .25

.25q/.25 = 9.50/.25

q =38

she has 38 quarters

Answer:

78 cm²

Step-by-step explanation:

since all sides are congruent you multiply the one measurement 6 times,so you do 13 × 6 equals 78

Answer:

41

Step-by-step explanation:

Add the numbers together and divide by 5. 5 is the amount of numbers in the example.

Answer: The mean of all the numbers is 41.

Step-by-step explanation:

To find the mean of a set of numbers you must first add them all together.  In this case, all of the numbers added together equaled 205.  Then, you divide what ever your previous number was by how many numbers are in the original set all total.  In this case, there was 5.  So my last step would be dividing 205 / 5 = 41.  41 is my final answer.  

Answer: The area is 221.558, with the explanation below.

Step-by-step explanation: The area of a circle is solved by the equation

π x r². You are given the diameter of 16.8, and the radius is half of it, so the radius = 16.8/2 = 8.4

Next, you need to plug your numbers into the equation:

Area = 3.14 x 8.4²

Area = 3.14 x 70.56

Area = 221.558

Answer: bisect

Step-by-step explanation:

A segment that is bisected is divided into 2 congruent (equal) lengths from the midpoint.

An angle that is bisected is divided into 2 congruent (equal) angles.

Answer:

The probability of rolling a 5 on the first number cube and rolling a 6 on the second number cube is 1/36

Step-by-step explanation:

There are total 6 possible outcomes of rolling a six sided fair cube. Therefore, the probability of rolling each number (1,2,3,4,5,6) is fair = 1/6

In this way,

The probability of rolling a 5 on the first number cube = p(A) = 1/6

The probability of rolling a 6 on the second number cube = p(B) = 1/6

The probability of rolling a 5 on the first number cube and rolling a 6 on the second number cube is = p(A) * p(B) = 1/6*1/6 = 1/36

Answer:

1/36

Step-by-step explanation:

The probability of rolling a 5 on the first number cube and rolling a 6 on the second number cube is 1/36

Step-by-step explanation:

There are total 6 possible outcomes of rolling a six sided fair cube. Therefore, the probability of rolling each number (1,2,3,4,5,6) is fair = 1/6

In this way,

The probability of rolling a 5 on the first number cube = p(A) = 1/6

The probability of rolling a 6 on the second number cube = p(B) = 1/6

The probability of rolling a 5 on the first number cube and rolling a 6 on the second number cube is = p(A) * p(B) = 1/6*1/6 = 1/36

[tex]x^2-y^2=-5[/tex]

The problem tells us that the slope of the tangent to a curve at any point [tex](x, y)[/tex] on the curve is x divided by y, that is:

[tex]m=\frac{x}{y}[/tex]

We also know that the point [tex](2,-3)[/tex] is on the curve. By taking a look on the options this point lies on both equations, namely:

[tex]x^2+y^2=13 \ because \ (2)^2+(-3)^2=13 \\ \\ x^2-y^2=-5 \ because \ (2)^2-(-3)^2=-5[/tex]

We know that the derivative is the slope of the tangent line to the graph of the function at a given point. So taking the derivative of both equations we have:

[tex]\frac{d}{dx}(x^2+y^2)=\frac{d}{dx}(13) \\ \\ \therefore 2x+2y\frac{dy}{dx}=0 \\ \\ \therefore m=\frac{dy}{dx}=-\frac{x}{y}[/tex]

And:

[tex]\frac{d}{dx}(x^2-y^2)=\frac{d}{dx}(-5) \\ \\ \therefore 2x-2y\frac{dy}{dx}=0 \\ \\ \therefore m=\frac{dy}{dx}=\frac{x}{y}[/tex]

So [tex]x^2-y^2=-5[/tex] also meets the requirement of the condition the slope of the tangent to a curve at any point (x, y) on the curve is x divided by y. Therefore this is the correct option.

Answer:

The correct option is D

Step-by-step explanation:

Edge2020

I believe the correct answer is 36

Answer:

The correct option is 4.

Step-by-step explanation:

The given function is

[tex]f(x)=5(2)^x[/tex]

Put x=0,

[tex]f(0)=5(2)^0=5\times 1=5[/tex]

Put x=1,

[tex]f(1)=5(2)^1=5\times 2=10[/tex]

Put x=2,

[tex]f(2)=5(2)^2=5\times 4=20[/tex]

Put x=3,

[tex]f(3)=5(2)^3=5\times 8=40[/tex]

Only table 4 represents the correct value of the given function, therefore the correct option is 4.

The table representation of the exponential function f(x)=5*2^x is: for x=0, f(x)=5; for x=1, f(x)=10; for x=2, f(x)=20; for x=3, f(x)=40.

To find the table representation of the exponential function f(x)=5*2^x, we need to calculate the values of f(x) for different values of x. Remember, any number raised to the power of 2 is being squared, but in this case, x can be any integer, and we're multiplying the result of 2 raised to that power by 5. Here's how you calculate the first few values:

Therefore, the correct table representation of the function f(x)=5*2^x is: