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3 years ago

How much does a customer at David's

Mathematics

1 answer:

alina1380 [7]3 years ago

4 0

Answer:

The solution as an ordered pair is (3,21)

Step-by-step explanation:

The complete question is

At David's skateboard shop, customers pay an upfront fee of $12 and then pay $3 per hour for each hour they use the skateboard.

How much does a customer at David's skateboard shop pay to rent a skateboard for 3 hours?

Write your answer as an ordered pair (h,C)

we know that

The linear equation in slope intercept form is equal to

$C=mh+b$

where

C is the total cost to rent a skateboard

h is the number of hours

m is the slope or unit rate

b is the initial value (the C-intercept)

In this problem we have

The slope is equal to

$m=\$3\ per\ hour$

The C-intercept or initial value is

$b=\$12$

substitute

$C=3h+12$

For h=3 hours

substitute in the linear equation

$C=3(3)+12=\$21$

therefore

The solution as an ordered pair is (3,21)

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R = x(A + B) Solve for A.

larisa86 [58]

Answer:

A = $\frac{R}{x}$ - B

Step-by-step explanation:

Given

R = x(A + B) ← divide both sides by x

$\frac{R}{x}$ = A + B ( subtract B from both sides )

$\frac{R}{x}$ - B = A

3 0

3 years ago

Function g can be thought of as a translation (shifted) version of f(x)=x^2

dimaraw [331]

Answer:

(x+5)²

Step-by-step explanation:

To solve this we just need to shift the graph 5 spots to the left

to do this we need to add 5 to the x

(x+5)²

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3 years ago

WILL MARK BRAINLIEST!! The coordinates of the vertices of quadrilateral JKLM are J(-3,2), K(4,-1), L(2,-5) and M(-5,-2). Find th

irinina [24]

Answer:
JKLM is a parallelogram
Explanation:
The slope m of a line through two points (x1,y1) and (x2,y2)is given by the formula:
m=Δy/Δx=y2-y1/x2-x1
So the slopes of the sides of our quadrilateral are:
mJK=(−1)−24−(−3)=−37
mKL=(−5)−(−1)2−4=2
mLM=(−2)−(−5)−5−2=−37
mMJ=2−(−2)(−3)−(−5)=2
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So JKLM is a parallelogram.

5 0

2 years ago

Amy wants to sell at most 25 cookies and at least 10 sprites

Inga [223]

Answer:

$x\leq 25\\y\geq 10\\.50x + y\geq 30$

Step-by-step explanation:

It is given that,

Amy wants to sell at most 25 cookies ,

Let number of cookies be ' $x$ ' , then $x$ should be less than or equal to 25

Which is represented by $x\leq 25$ ,

Further,

Let number of sprites be ' $y$ ', then ' $y$ ' should be greater than or equal to 10

Which is represented by $y\geq 10$

Also,

Given,

she profits $.50 on every cookie

and $1.00 on every sprite.

So total profit on selling cookies would be

= Profit on each cookie times the number of cookies

= $.50\times x$

= $.5x$

Similarly, total profit on selling sprites would be

=profit on each sprite times the number of sprites

= $1.00\times y$

= $y$

Now, combining these two should be greater than or equal to $30

representing this through an equation,

$.50x+y\geq 30$

Thus the sysytem of equations is given as:

$x\leq 25\\y\geq 10\\.50x + y\geq 30$

6 0

3 years ago

You have an equation y=x+7. Is the ordered pair (1,6) a solution? Yes or no?

vaieri [72.5K]

Answer:
no

step-by-step explanation:
y=x+7
x is the slope of 1
7 is the y-intercept
because 7 is the y-intercept and the slope is positive it never touches (1,6)

8 0

2 years ago