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Radda [10]
1 year ago
5

You were billed $28.50 for additional data usage on your cell phone at a rate of $9 per gigabyte. Three choices are correct ways

to calculate the additional gigabytes, g, that you used. Which choice is NOT?
Mathematics
1 answer:
Zepler [3.9K]1 year ago
4 0

Answer:

b.) 9/g = 28.5

Step-by-step explanation:

a.) 9g = 28.5

b.) 9/g = 28.5

c.) 28.5 = 9 x g

d.) 28.5/9 = g

Total billing = $28.50

Rate = $9 per gigabyte

Calculate the additional gigabytes, g, that you used.

Additional gigabyte used, g = Total billing / Rate

g = $28.50 / $9

9g = 28.50

28.50 = 9 × g

g = 28.50 / 9

Option b.) 9/g = 28.5 is the incorrect way to calculate the additional gigabytes, g, that you used.

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Use properties to rewrite the given equation. Which equations have the same solution as 2 3p-10.1 = 6.5p - 4 - 0.01p? Select two
SSSSS [86.1K]

2.3p - 10.1 = 6.5p - 4 - 0.01p

If we multiply this equation by 100 we have

230p - 1010 = 650p - 400 - p

So the right answer is this

7 0
2 years ago
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Relative to the graph of y=3sinx what is the shift of the graph of y=3sin(x+pi/3)
DochEvi [55]
The shifts of the sinus function can be described with the formula:
<span>a<span>sin<span>(<span><span>bx</span><span>−c</span></span>)</span></span></span>+<span>d, where
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b is  the period
c is the phase shift 
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So, the graph y=3sinx is phase shifted. The phase shift can be calculated as c/b= pi/3/1=pi/3
So, the function is phase shifted for pi/3.</span>
4 0
2 years ago
Find solution to the system of linear equations. 5x1 + x2 = 0 , 25x1 + 5x2 = 0
Zigmanuir [339]

Answer:

the system of equation has infinite solution

Step-by-step explanation:

5x_1 + x_2 = 0 , 25x_1 + 5x_2 = 0

Solve the first equation for x_2

Subtract 5x1 on both sides

5x_1 + x_2 = 0

x_2 =-5x_1

Now substitute -5x1 on second equation

25x_1 + 5x_2 = 0

25x_1 + 5(-5x_1)= 0

25x_1-25x_1= 0

0=0

So the system of equation has infinite solution

5 0
2 years ago
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a rectangle pyramid fits exactly on top of a rectangular prism. the prism has a length of 18 cm, a width of 6 cm, and a height o
irina1246 [14]
To find the volume of the prism you are going to use the formula  V=WxLxH.
When you plug in your numbers you should get V= 18x6x9 which ends up equaling 972.

Now that you have that you need to find the volume of the pyramid using the formula V= L x W x H /3 and when you plug that in it looks like
V= 18 x 6 x 15 /3

Upon simplifying that you get 540.

Now you have the volume of your rectangular prism and your rectangular pyramid add them together and you should get 1512



I recommend drawing it out... it helps a lot:)
4 0
1 year ago
If cos(t) = 2/7 and t is in the 4th quadrant, find sin(t).
Yuliya22 [10]
We can use the Pythagorean Trigonometric Identity which says:
sin^2(t)+cos^2(t)=1

Since we need to find sin(t), we have to solve for it:
sin(t)= \sqrt{1-cos^2(t)}

Let's plug in the given cos(t) value:
sin(t) = \sqrt{1-cos^2( \frac{2}{7})}

And solve sin(t):
sin(t) = \sqrt{1- \frac{4}{49} } = \frac{x}{y} \sqrt{ \frac{49}{49}- \frac{4}{49} }

Simplify further:
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And it all simplifies down to:
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Since it's in the 4th quadrant, the sin(t) value is going to be negative. So, your final answer is: 
sin(t) = - \frac{ 3\sqrt{5} }{7}

Hope this helps!
7 0
2 years ago
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