12 minutes to drive 30 laps; 48 minutes to divre 120 laps

Answer: x = 7

Step-by-step explanation: To solve for x in this equation, we need to get x by itself on the left sides of the equation. Since x is being multiplied by 6, to get x by itself, we need to divide by 6 on the left side of the equation.

If we divide by 6 on the left side,

we must also divide by 6 on the right side.

On the left side, the 6's cancel and we have x.

On the right, 42 divided by 6 is 7 so x  = 7.

Answer:

[tex]\huge\boxed{\boxed{\tt{65\::)}}}[/tex]

Step-by-step explanation:

Hello.

First, add 10+3.

The sum is 13.

Now, multiply that by 5.

13×5=65

And we're done!

I hope it helps & have an outstanding day! :)

~ST2710 :)

Answer:

[tex]x=\frac{w}{2h-11}[/tex]

Step-by-step explanation:

Given equation,

w = 2hx - 11x,

⇒ 2hx - 11x = w

The steps for solving this equation for x are as follows,

Step 1 : By the converse of distributive property,

x(2h-11) = w

Step 2 : Isolate x in the left side of the equation by dividing both sides by 2h - 11 ( Division property of equality )

[tex]x=\frac{w}{2h-11}[/tex]

Heather can type the fastest. Comparing the two rates, we can see that Heather's rate of 68 words per minute is higher than Carrie's rate of 65.5833 words per minute.

To determine who can type the fastest, we need to calculate the typing rate in words per minute for both Carrie and Heather.

First, let's calculate Carrie's typing rate:

Carrie can type 787 words in 12 minutes. To find out how many words she can type per minute, we divide the number of words by the number of minutes.

[tex]\[ \text{Carrie's rate} = \frac{787 \text{ words}}{12 \text{ minutes}} \] \[ \text{Carrie's rate} = 65.5833 \text{ words per minute} \][/tex]

Next, let's calculate Heather's typing rate:

Heather can type 1020 words in 15 minutes. Similarly, we divide the number of words by the number of minutes to find her rate.

[tex]\[ \text{Heather's rate} = \frac{1020 \text{ words}}{15 \text{ minutes}} \] \[ \text{Heather's rate} = 68 \text{ words per minute} \][/tex]

Therefore, Heather can type the fastest.

To find g(x+1) for the function g(x)=x^2, you substitute x+1 into the function to get (x+1)^2, which expands to x^2 + 2x + 1.

The function given is g(x) = x^2. To find g(x + 1), you just need to substitute x + 1 into the function where x is. So, g(x + 1) = (x + 1)^2. If we expand this, it becomes x^2 + 2x + 1.

Therefore, the expression that is equal to g(x + 1) is x^2 + 2x + 1.

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Denise should plan to spend around 4.2 hours walking back after running. This is calculated using the concept of time = distance / speed and sum of the times, with the total time, running speed and walking speed given as 6 hours, 7 mph, and 3 mph, respectively.

To answer the question 'How long should Denise plan to spend walking back?' we can start by finding the time she spends running. We know that Denise has 6 hours to spend training for an upcoming race. We also know that she runs at a speed of 7mph and walks back at a speed of 3mph.

The total time spent running and walking is 6 hours. To find the running time, we should know that time = distance / speed. However, we don't have the distance. But since the distance ran is equal to the distance walked back, we can use the concept of time = distance / speed and sum of times to solve it.

We can denote the distance by D, thus the time spent running is D/7 and the time walking back is D/3. Adding these times should equal 6 hours.

Putting this into an equation: D/7 + D/3 = 6.

We solve this equation to find D, and find the time spent walking back by substituting D back into D/3. Which gives us about 4.2 hours. So, Denise should plan to spend about 4.2 hours walking back after her run.

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Answer:

[tex]h=8\frac{1}{2}\text{ inch}[/tex]

Step-by-step explanation:

Let h represent height of prism.

We have been given that Tana fills the prism with base lengths [tex]3\frac{1}{4}[/tex] inch and [tex]4[/tex] inch with a [tex]110\frac{1}{2}\text{ inch}^3[/tex].

We know that volume of prism is area of base times height, so we can set an equation as:

[tex]\text{Volume of prism}=\text{Base length}\times\text{Base width}\times \text{Height of prism}[/tex]

[tex]110\frac{1}{2}\text{ inch}^3=3\frac{1}{4}\text{ inch}\times 4\text{ inch}\times h[/tex]

[tex]\frac{221}{2}\text{ inch}^3=\frac{13}{4}\text{ inch}\times 4\text{ inch}\times h[/tex]

[tex]\frac{221}{2}\text{ inch}^3=13\text{ inch}^2\times h[/tex]

[tex]\frac{221}{2*13\text{ inch}^2}\text{ inch}^3=\frac{13\text{ inch}^2\times h}{13\text{ inch}^2}[/tex]

[tex]\frac{221}{26}\text{ inch}=h[/tex]

[tex]8\frac{13}{26}\text{ inch}=h[/tex]

[tex]8\frac{1}{2}\text{ inch}=h[/tex]

Therefore, the height of the prism is [tex]8\frac{1}{2}\text{ inch}[/tex].

Answer:

There are 1000 millimeters in a meter.

Starting from lower scale that is, centimeter, decimeter and then meter

1 cm = 10 mm

1 dm = 10 cm

And 1 meter = 10 dm

So, when you go up to mm from meter, we will do [tex]10^{3}[/tex] to get the relation between meter and mm.

Hence, 1 meter = [tex]10\times10\times10=1000[/tex] millimeters.

Answer:

5+4p ≥ 32

No

Step-by-step explanation:

I promise this is the answer

Answer:

The correct statement is:

It is not symmetric and has a peak at 1.

Step-by-step explanation:

We may make a dot plot based on the given information.

The dot plot is attached to the answer.

We may clearly observe that the dot plot is not symmetric since, there is no such point such that the plot to its left and right are equal.

Also,the frequency corresponding to '1' is highest (i.e. there are 4 dots above 1)

Hence, the peak of the dot plot is at '1'.