What is the solution set for −4 x + 10 ≥ 5 x + 55?

Mathematics

1 answer:

valentina_108 [34]3 years ago

8 0

Answer:

(-5,0)

Step-by-step explanation:

Put -4x+10 ≥ 5x+55 in Desmos Scientific Calculator and you have your answer

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A total of 800 pre-sale tickets and tickets at the gate were sold to football city championship game. If the number of tickets s

Nitella [24]

The number of presale tickets sold is 271

Solution:

Let "p" be the number of presale tickets sold

Let "g" be the number of tickets sold at gate

Given that, total of 800 Pre-sale tickets and tickets at the gate were sold

Therefore,

Presale tickets + tickets sold at gate = 800

p + g = 800 ------ eqn 1

Given that, number of tickets sold at the gate was thirteen less than twice the number of pre-sale tickets

Therefore,

Number of tickets sold at gate = twice the number of pre-sale tickets - 13

g = 2p - 13 ------- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 2 in eqn 1

p + 2p - 13 = 800

3p -13 = 800

3p = 800 + 13

3p = 813

p = 271

Thus 271 presale tickets were sold

4 0

3 years ago

A family has two cars. the first car has a fuel efficiency of 40 miles per gallon of gas and the second has a fuel efficiency of

Aliun [14]

Let x and y represent the numbers of gallons used by the 40 mpg and 35 mpg cars, respectively.
.. x +y = 40 . . . . . . . . . . .total consumption is 40 gallons
.. 40x +35y = 1525 . . . . total miles driven = 1525

Multiply the first equation by 40 and subtract the second.
.. 40(x +y) -(40x +35y) = 40(40) -(1525)
.. 5y = 75
.. y = 15
.. x = 40 -15 = 25

The 40 mpg car consumed 25 gallons.
The 35 mpg car consumed 15 gallons.

7 0

3 years ago

Length of a rectangle is four times its width. If the perimeter is 100 m, what is the area in square cm?

melisa1 [442]

Set the width to be x. Thus, the length is 4x.

The perimeter is 2(x+4x)=100, so x=10.

Plugging in x=10, you get that 4x=40.

So, the area of the rectangle is 400 $m^2$ .