Antonio sets his remote-controlled car at the start of the racetrack and starts its run on the track. His car stops 10m past the starting line. After he fixes a wheel, the car goes 2/5 the racetrack’s total distance and then stops for good. It is 38m from the starting line. How long is the racetrack? Please show work.

Answer:

Step-by-step explanation:

Answer:

Whatever you do one one side of the equal sign, you must do on the other side.

Step-by-step explanation:

No, I do not agree with Kimaya. The volume of the rectangular prism is 2 inches x 4 inches x 6 inches = 48 cubic inches. To fill the rectangular prism with 2/5-inch cubes, you would need 48 cubic inches / (2/5) cubic inches per cube = 120 cubes. To fill the rectangular prism with 1/5-inch cubes, you would need 48 cubic inches / (1/5) cubic inches per cube = 240 cubes.

So, it takes less 2/5-inch cubes to fill the prism than 1/5-inch cubes.

Another way to think of it is that the larger the cubes, the less number of cubes you need to fill the same volume, as the cubes are larger in size.

Answer:

the answer to your question is -2

[tex]\it \mathcal{P}=4(x+3)+5x+18=4x+12+5x+18=9x+30[/tex]

Answer:

B

Step-by-step explanation:

< just means more of and since it says more than 250 the answer would have to be something grater than 250

Hope this helps!

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Answer: 2 factors 2 terms

Step-by-step explanation:

Answer:

128

Step-by-step explanation:

A=2(wl+hl+hw)=2·(4·4+6·4+6·4)= 128

Answer: The answer is −2x+14 just take away the parentheses.

Answer:

A. No Solutions

B. X=3

C. X=3

D. No Solutions

E. No S

Answer: Yes they should and no it's not biased

Step-by-step explanation: I don't know my opinion is that it isn't bias

Answer:

sorry to tell you I don't understand your question

Answer:

1.<3592

2.<623

3. <942

4. <829

5.692

6.986

Step-by-step explanation:

Answer:

B. 80 + 45 + 5x = 180

Step-by-step explanation:

In this problem, we are asked to construct an equation that can be used to solve for x.

The measures of the interior angles of a triangle add to 180º. Therefore, we can construct the following equation:

A + B + C = 180º

In this problem, we are given all of the shown triangle's angles: A = 80º, B = 45º, and C = 5xº. Thus, we can plug those values in for A, B, and C in the above equation.

80º + 45º + 5xº = 180º

This happens to be option B.

Answer: 80+45+5x=180

Step-by-step explanation: Angles in a triangle sum up to 180 degrees.

Answer:

125 cubic units

Step-by-step explanation:

the volume formula is length x width x height.

because the length, width, and height of the prism are all 5 units, the volume of the prism is 125 cubic units.

hope this helped, good luck!

Answer: 1. Negative number

2. Natural number

3. Positive number

4. Integers

5. Number line

6. Opposite numbers

Step-by-step explanation:

1. The first statement says a number that is less than zero, which means any negative number would be less than zero. For example (-1), (-2), etc.

2. The second statement is asking for numbers belonging to the counting set, which means starting from one (1). Natural numbers are numbers that start from 1 and don't include negative numbers or zeros.

3. The third statement says the number that is greater than zero, as negative numbers are smaller than zero and the natural number option has already been chosen above, we will consider positive numbers.

4. Whole numbers consist of both negative and positive integers including zero. Therefore, a set of whole numbers will be written as integers.

5. Number line is a line that represents both negative and positive numbers.

6. Consider an example- (+5) and (-5), both the numbers are the same but with different signs, making them opposite of each other. Therefore, the correct answer would be opposite numbers.

Answer:

Step-by-step explanation:

4(9a+7)

Answer:

[tex]y=\frac{1}{2}x+1[/tex]

Step-by-step explanation:

We have the one tablet taken to start so that is where the +1 comes from.

We also have the 1/2 tablet taken each month after that so it is 1/2 times the number of months x.

Answer:

Step-by-step explanation:

Challenge 1

We have exponential decline if 0 b 1. As you move from left to right, the curve will get less steep.

If b is greater than 1, exponential growth is present, and the curve slopes upward from left to right.

Examples include exponential decline (y = 2(0.5)x) and exponential growth (y = 2(1.2)x).

Remember that b cannot be negative.

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Challenge 2

In the general template provided, enter x = 0.

y = a(b)^x

y = a(b)^0

y = a(1) (1)

y = a

When x = 0 is plugged in, the result is y = a.

The curve is therefore on the point (0,a). The y intercept appears here. It is the point when the curve veers off the y axis. The y intercept is altered if the value of "a" is altered.

Examples:

Answer:15

Step-by-step explanation:

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

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

[tex]\frac{2}{3}[/tex] cross cancels each other out just leaving x on the left side

10÷[tex]\frac{2}{3}[/tex]

[tex]\frac{10}{1}[/tex]x[tex]\frac{3}{2}[/tex]

[tex]\frac{5}{1}[/tex]x[tex]\frac{3}{1}[/tex]

5x3=15

x=15

Hope this helps! Good luck!

Answer:

it is 15

hope you like it

hi samarelhedok

Answer: the number of counselors is 312 = 36, and the number of campers is 1112 = 132

Step-by-step explanation:

To determine the number of counselors and campers at Gilliam Grant day camp, we can use the information provided in the ratio: 3 : 11.

This ratio tells us that for every 3 counselors, there are 11 campers. To find the total number of counselors and campers, we can set up the following equation using the information provided:

3x + 11x = 168 (x represents the number of counselors or campers)

14x = 168

x = 12

So the number of counselors is 312 = 36, and the number of campers is 1112 = 132

We can also check that the total number of counselors and campers is equal to 168 by adding 36 + 132 = 168

Answer:

y = 7x - 16

Step-by-step explanation:

slope = y2-y1/x2-x1

slope = 12 - (-9)/4-1

slope = 7

Y-intercept = -9-7

Y-intercept = -16

Y = 7x-16

Answer:

for a it is $20

for b it is $10

Answer:

75 percent of a positive number is greater greater than 50 percent of a positive number. and the second one is 75percent of a negative number is less than 50percent of a negative number

Answer:

Step-by-step explanation:

75% of 100> 50% of 100

75% of 1< 50% of 100

Rational exponents and radicals are simplified in a similar way to how other exponents and radicals are simplified.

For the first expression 4x⁻⁴y⁴, you can simplify it by noticing that it has a negative exponent on the x term and a positive exponent on the y term. To simplify, you can keep the base (x and y) and the exponent (4 and -4) but you change the negative exponent to a fraction and change the sign:

4x⁻⁴y⁴ = (x^-4) (y^4) = x^-4y^4

For the second expression -2x⁴y⁻¹, you can simplify it by noticing that it has a negative exponent on the y term. To simplify, you can keep the base (x and y) and the exponent (4 and -1) but you change the negative exponent to a fraction and change the sign:

-2x⁴y⁻¹ = -2 (x^4) (y^-1) = -2x^4y^-1

To simplify these expressions further, you would need to know the specific values of x and y. But these are the steps to simplify a rational exponent or radical to its simplest form.

It's also worth mentioning that if you have a fractional exponent you can simplify it by raising the base to the numerator of the exponent and the denominator of the exponent. For example, x^(3/4) = (x^3)^(1/4) = ∛x

Keep in mind that when you simplify rational exponents or radicals, you should always keep the base and the exponent, and only change the sign of the exponent if it is negative.

Answer:Multiply or divide in order left to right

Step-by-step explanation: