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stepladder [879]
2 years ago
9

Under his cell phone plan, Liam pays a flat cost of $69.50 per month and $5 per gigabyte. He wants to keep his bill under $90 pe

r month. Write and solve an inequality which can be used to determine x, the number of gigabytes Liam can use while staying within his budget.
Mathematics
1 answer:
natulia [17]2 years ago
3 0

Answer:

5y+69.50<90

Step-by-step explanation:

You can think of the number of gigabytes he will use as "y", since we don't know the number of gigabytes he will use. The flat cost of one month is $69.50.

You need to add those to calculate the complete cost. The inequality would use a less than sign because he needs to pay less than $90/month. It would not use an inequality sign with a line under it because the problem doesn't say he wants to use $90 or less.

You would solve using basic computation (subtraction and division). Hope this helped!

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HELP ME PLEASE!!
LUCKY_DIMON [66]

Using a system of equation, we have that:

a)

  • x, which is the cost of on-site service.
  • y, which is the cost of at-store service.
  • z, which is the cost of by-mail service.

b)

The system is:

x = 3y

z = y - 10

15x + 40y + 5z = 3100

c)

The cost of one on-site repair service is of $90.

Item a:

The variables are:

  • x, which is the cost of on-site service.
  • y, which is the cost of at-store service.
  • z, which is the cost of by-mail service.

Item b:

On-site service costs <u>3 times as much as at-store service</u>, thus:

x = 3y

By mail service costs <u>$10 less than at-store</u>  service, thus:

z = y - 10

Last week, the shop completed <u>15 services on-site, 40 services at-store, and 5 services by mail for total sales of $3100</u>, thus:

15x + 40y + 5z = 3100

The system is:

x = 3y

z = y - 10

15x + 40y + 5z = 3100

Item c:

  • The cost of one on-site repair service is x.
  • First, replacing the first two equations into the third, we find y, and then with it we find x.

15x + 40y + 5z = 3100

15(4y) + 40y + 5(y - 10) = 3100

60y + 40y + 5y = 3150

105y = 3150

y = \frac{3150}{105}

y = 30

Then

x = 3y = 3(30) = 90

The cost of one on-site repair service is of $90.

A similar problem is given at brainly.com/question/24823220

3 0
2 years ago
The length of one rectangle is 4 more than
inysia [295]
L = 3w + 4

l = w + 28
6 0
3 years ago
Which is an equation of a circle with center (-5, -7) that passes through the point (0, 0)?
german
Hello,

Let's calculate the radius:

r²=5²+7²=74

The circle's equation is (x+5)²+(y+7)²=74

Answer C
5 0
3 years ago
Read 2 more answers
Based on the graph, what are the solutions of the equation
olga_2 [115]
It's C. move all terms to the left side and set equal to zero. then set each factor equal to zero.
4 0
3 years ago
what is the volume of a cylinder with height of 9 inches and the the radius is 1 inch. round to the nearest cubic inch
poizon [28]

Answer:

Step-by-step explanation:

Volume of cylinder can be calculated by using the formula V= pir^2h

Where r is radius of cylinder and h is the height.

A cylinder with radius 1 inch and height of 9 inch is given.

r=1,h=1,π=3.14.

Substituting the given values :

V=πr2h=π·12·9≈28.27433

Volume of cylinder rounded to nearest tenth is 28.27 cubic inches .

6 0
3 years ago
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