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vfiekz [6]
2 years ago
6

Andrea is traveling with her family in the car. If the car is moving at an average speed of 55 miles per hour, how many miles ca

n they travel in 4 hours? Use the formular. t, where r represents the rate, or speed, and t represents the time.
a. 554 miles
b. 220 miles
c. 200 miles
d. 59 miles​
Mathematics
1 answer:
Crazy boy [7]2 years ago
3 0
Rate * time = distance traveled
55 * 4 = 220 miles
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If there are 80 pages in this weeks edition, how many pages can she predict will have advertisements
Oxana [17]

Answer:32

Just divide both sides by 12 because 960/12=80 so 384/12=32

3 0
3 years ago
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If a customer uses 80 MB, the monthly cost will be $19.00. If the customer uses MB, the monthly cost will be $. Find a linear eq
CaHeK987 [17]

Answer:

c = 4.211\cdot n

Step-by-step explanation:

The linear equation has the following form:

c = \frac{\Delta C}{\Delta n} \cdot n

Where:

n - Number of MBs of the data plan.

c - Monthly cost of the data plan.

The slope of the function is:

\frac{\Delta C}{\Delta n} = \frac{c}{n}

\frac{\Delta C}{\Delta n} = \frac{80\,MB}{19\,USD}

\frac{\Delta C}{\Delta n} = 4.211\,\frac{MB}{USD}

The equation is:

c = 4.211\cdot n

7 0
3 years ago
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At Darren's Hats, there are 42 baseball caps and 14 other hats. what percentage of the hats are baseball caps?
emmainna [20.7K]

Answer:

Step-by-step explanation:

calculate the total

42+ 14 = 56

42/56 = x/100

4200 / 56x = 75

the answer is 75%

3 0
2 years ago
PLEASE HELP! I'll give 5 out of 5 stars, give thanks, and give as many points as I can.
Liula [17]

Answer:

\boxed{\boxed{x=\dfrac{\pi}{3}\ \vee\ x=\pi\ \vee\ x=\dfrac{5\pi}{3}}}

Step-by-step explanation:

\cos(3x)=-1\iff3x=\pi+2k\pi\qquad k\in\mathbb{Z}\\\\\text{divide both sides by 3}\\\\x=\dfrac{\pi}{3}+\dfrac{2k\pi}{3}\\\\x\in[0,\ 2\pi)

\text{for}\ k=0\to x=\dfrac{\pi}{3}+\dfrac{2(0)\pi}{3}=\dfrac{\pi}{3}+0=\boxed{\dfrac{\pi}{3}}\in[0,\ 2\pi)\\\\\text{for}\ k=1\to x=\dfrac{\pi}{3}+\dfrac{2(1)\pi}{3}=\dfrac{\pi}{3}+\dfrac{2\pi}{3}=\dfrac{3\pi}{3}=\boxed{\pi}\in[0,\ 2\pi)\\\\\text{for}\ k=2\to x=\dfrac{\pi}{3}+\dfrac{2(2)\pi}{3}=\dfrac{\pi}{3}+\dfrac{4\pi}{3}=\boxed{\dfrac{5\pi}{3}}\in[0,\ 2\pi)\\\\\text{for}\ k=3\to x=\dfrac{\pi}{3}+\dfrac{2(3)\pi}{3}=\dfrac{\pi}{3}+\dfrac{6\pi}{3}=\dfrac{7\pi}{3}\notin[0,\ 2\po)

7 0
3 years ago
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Determine whether the statement is true or false. Justify your answers.
marusya05 [52]

Answer:

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the x-axis. ⇒ False

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the y-axis. ⇒ False

Step-by-step explanation:

<em>Let us explain the reflection about the axes</em>

  • If a graph is reflected about the x-axis, then the y-coordinates of all points on it will opposite in sign

Ex: if a point (2, -3) is on the graph of f(x), and f(x) is reflected about the x-axis, then the point will change to (2, 3)

  • That means reflection about the x-axis change the sign of y
  • y = f(x) → reflection about x-axis → y = -f(x)

  • If a graph is reflected about the y-axis, then the x-coordinates of all points on it will opposite in sign

Ex: if a point (-2, -5) is on the graph of f(x), and f(x) is reflected about the y-axis, then the point will change to (2, -5)

  • That means reflection about the y-axis change the sign of x
  • y = f(x) → reflection about y-axis → y = f(-x)

<em>Now let us answer our question</em>

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the x-axis.

It is False because reflection about x-axis change sign of y

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the x-axis

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the y-axis.

It is False because reflection about y-axis change sign of x

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the y-axis

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