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Natasha_Volkova [10]
3 years ago
8

Under her cell phone plan, Lily pays a flat cost of $55.50 per month and $4 per

Mathematics
2 answers:
TEA [102]3 years ago
8 0

Answer:

Equation : y = 4x + 55.50

x = 1.9 gigabytes

Step-by-step explanation:

Given that:

Flat fee per month = $55.50

Cost per gigabyte = $4

Let,

x be the number of gigabytes.

y be the total cost

y = 4x + 55.50

Lily wants to keep her bill $63.10

63.10 = 4x + 55.50

63.10 - 55.50 = 4x

4x = 7.60

Dividing both sides by 4

\frac{4x}{4} = \frac{7.60}{4}\\x=1.9

Hence,

Equation : y = 4x + 55.50

x = 1.9 gigabytes

LuckyWell [14K]3 years ago
3 0

Answer:

Equation: 4x+55.5=63.1

Answer: x=1.9

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What function is shown by the graph below?
Airida [17]

Answer:

The function f(x)=\sqrt{x+2}  is shown by the graph below ⇒ 2nd answer

Step-by-step explanation:

<em>To find the right function chose two points from the graph and substitute the x-coordinate of each point in the function to find the y-coordinate, if they are the same with the corresponding y-coordinates of the points, then the function is shown by the graph</em>

From the figure:

The curve passes through points (-2 , 0) and (2 , 2)

∵  f(x)=\sqrt{x-2}

∵ x = -2

- Substitute x by -2

∴ f(-2)=\sqrt{-2-2}

∴ f(-2)=\sqrt{-4} ⇒ it is impossible no square root for (-) number

∴ f(x)=\sqrt{x-2} is not the function shown by the graph

∵  f(x)=\sqrt{x+2}

∵ x = -2

- Substitute x by -2

∴ f(-2)=\sqrt{-2+2}

∴ f(-2)=\sqrt{0}

∴ f(-2) = 0 ⇒ same as the y-coordinate of x = -2

∵ x = 2

- Substitute x by 2

∴ f(2)=\sqrt{2+2}

∴ f(2)=\sqrt{4}

∴ f(2) = 2 ⇒ same as the y-coordinate of x = 2

∴ The function f(x)=\sqrt{x+2} is shown by the graph below

7 0
3 years ago
Simplify <br> (7y+4)(8y+2)
lesantik [10]

Answer:

56y^2+46y+8

Explanation:

Hope this helps you.

6 0
1 year ago
A. 18 is 20 percent of what number? B. 15 is 25 percent of what number? C. 12 is 30 percent of what number? D. 24 is 40 percent
3241004551 [841]

Answer:

18=x*.20

15=x*.25

12=x*.30

24=x*.40

39=x*.60

78=x*.30

Step-by-step explanation:

To solve for x on each, divide the number on the left of the equal side by the number x is being multiplied by.  For example, 18/.20=x

5 0
3 years ago
Read 2 more answers
The fare for a taxi cab is $2.50 per passenger and $0.75 for each mile. A group of friends has $22.00
xeze [42]

For this case we have to:

x: Let the variable representing the number of people to travel in the group

y: Let the variable representing the number of miles traveled.

If friends only have $22 then we have the following inequality:

2.50x + 0.75y \leq22

Now, if there are three people in the group we have that x = 3.

2.50 (3) + 0.75y \leq22\\7.5 + 0.75y \leq22\\0.75y \leq22-7.5\\0.75y \leq14.5\\y\leq \frac {14.5} {0.75}\\y\leq19.33

The taxi can travel a maximum of 19.33 miles.

On the other hand, if the group wants to travel 10 miles then we have to y = 10.

2.50x + 0.75 (10) \leq22\\2.50x + 7.5 \leq22\\2.50x \leq22-7.5\\2.50x \leq14.5\\x\leq \frac {14.5} {2.50}\\x \leq5.8

Thus, they could travel a maximum of 5 people.

ANswer:

2.50x + 0.75y \leq22

Traveling 3 people, the taxi can travel a maximum of 19.33 miles

Traveling 10 miles, a maximum of 5 people can travel

7 0
3 years ago
Find the cosine of both angle A and angle B.
Svetach [21]
We know that

cos A=adjacent side angle A/hypotenuse
adjacent side angle A=24 units
hypotenuse=26 units

cos A=24/26-----> 12/13

cos B=adjacent side angle B/hypotenuse
adjacent side angle B=10 units
hypotenuse=26 units

cos B=10/26------> 5/13

the answers are
cos A=12/13
cos B=5/13

cot A=adjacent side angle A/opposite side angle A
adjacent side angle A=24 units
opposite side angle A=10 units
cot A=24/10------> cot A=12/5

cot B=adjacent side angle B/opposite side angle B
adjacent side angle B=10 units
opposite side angle B=24 units
cot B=10/24------> cot B=5/12


8 0
3 years ago
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