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A truck can be rented from Company A form $130 a day plus $0.30 per mile. Company B charges $50 a day plus $0.80 per mile to r

navik [9.2K]

Answer:

160 miles

Step-by-step explanation:

Company A form $130 a day plus $0.30 per mile

Company A = 130 + 0.30x

Company B charges $50 a day plus $0.80 per mile

Company B = 50 + 0.80x

Where,

x = number of miles

Equate the cost of company A and company B

130 + 0.30x = 50 + 0.80x

Collect like terms

130 - 50 = 0.80x - 0.30x

80 = 0.50x

Divide both sides by 0.50x

x = 80 / 0.50

= 160

x = 160 miles

The number of miles in a day at which the rental costs for Company A and Company B are the same is 160 miles

4 0

2 years ago

What is the product (2t+1) (t-4)

____ [38]

Answer:

Step-by-step explanation:

(2t+1)(t-4)

= 2t^2 - 8t + t - 4

= 27^2 - 7t - 4

3 0

3 years ago

A function is a relation where each input value is assigned to (1) ___ one output value.the (2) ___ of a function is the set of

Sloan [31]

The blanks can be filed by exactly, domain, range, and, f(x) respectively.

While we've got a feature in formulation form, it also includes a simple count to assess the function. For example, the feature f(x)=5−3x2 f ( x ) = 5 − 3 x 2 can be evaluated with the aid of squaring the enter cost, multiplying by means of three, and then subtracting the product from 5.

You write capabilities with the function name observed by way of the established variable, together with f(x), g(x), or maybe h(t) if the function depends upon time. You read the function f(x) as "f of x" and h(t) as "h of t". functions no longer need to be linear. The feature g(x) = -x^2 -3x + 5 is a nonlinear characteristic.

A user is an actual-valued feature on a vector area, usually of functions. as an example, the electricity practical at the unit disk assigns various to any differentiable feature, For the practical to be non-stop, it's miles necessary for the vector space. of capabilities to have the perfect topology.

Learn more about the function here brainly.com/question/6561461

#SPJ4

5 0

2 years ago

What is the problem 6y+2(3y-5)= -34

lidiya [134]

Answer:

y=−2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6y+2(3y−5)=−34

6y+(2)(3y)+(2)(−5)=−34(Distribute)

6y+6y+−10=−34

(6y+6y)+(−10)=−34(Combine Like Terms)

12y+−10=−34

12y−10=−34

Step 2: Add 10 to both sides.

12y−10+10=−34+10

12y=−24

Step 3: Divide both sides by 12.

$\frac{12y}{12}$ = $\frac{-24}{12}$

y=−2

8 0

3 years ago

Ollie earns a fixed amount of $2,700 per month and a commission of 12% on all of his sales for the month. To cover all of his ex

storchak [24]

Answer:

Part A) $0.12x+2,700\geq 5,400$

Part B) see the explanation

Step-by-step explanation:

Part A) Write an inequality that will represent the amount of sales Ollie will need in order to cover his monthly expenses

Let

x ----> the amount of sales monthly

Remember that

$12\%=12/100=0.12$

we know that

The fixed amount of $2,700 plus the commission of 12% on all of his sales for the month must be greater than or equal to $5,400

so

The inequality that represent this problem is

$0.12x+2,700\geq 5,400$

Part B) Find the solution and describe what the graph would look like on a number line

we have

$0.12x+2,700\geq 5,400$

Solve for x

subtract 2,700 both sides

$0.12x \geq 5,400-2,700\\0.12x \geq 2,700$

Divide by 0.12 both sides

$x\geq \$22,500$

The minimum amount of sales needed to cover his monthly expenses is $22,500

In a number line the solution is the shaded area at right of x=22,500 (closed circle)

see the attached figure to better understand the problem

4 0

3 years ago