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timama [110]
3 years ago
12

Mr. Trager has $500.00 to spend at a bicycle store. All prices listed below include tax.

Mathematics
2 answers:
SVEN [57.7K]3 years ago
6 0

The inequality would be 273.98+(7.23*3)+42.36+78.12x which is less than or equal to 500. Now solve it. Think that the less than or equal to sign is a regular equal sign. Solve the inequality like a normal equation. When you solve it, you get 1. something. Just round it to 2 costumes.

Hope that helps!!

joja [24]3 years ago
3 0

Answer: He can buy 2 outfits.

Step-by-step explanation:

The data that we have is:

Mr. Trager has $500.00 to spend.

He buys:

- Bicycle for $273.98

- 3 bicycle reflectors for $7.23 each, so here he spends 3*$7.23 = $21.69

- 1 bicycle helmet for $42.36

So he spent a total of:

S = $273.98 + $21.69 + $42.36 = $337.97

the initial amount was: $500, so the amount of money that he has now is:

M = $500 - $337.97 = $162.03

Now, with this money he wants to buy cycling outfits, that cost $78.12 each, so the maximum number that he can buy is:

$78.12*x = $163.03

where x is the number of outfits:

x = 163.03/78.21 = 2.07

But he can not buy a 0.7 of an outfit, so we need to round down. This means that he can buy 2 outfits.

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What is the solution of the system of equations graphed?
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General Formulas and Concepts:

<u>Algebra I</u>

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Step-by-step explanation:

The solution set to any systems of equations is where the 2 lines intersect. According to the graph, we see that the 2 lines intersect at (-3, 5). Therefore, our answer is A.

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Find the other endpoint of the line segment with the given endpoint and midpoint: endpoint(1.7, -4.6) midpoint (-7.5, 0.3).. (ne
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Answer:

(- 16.7, 5.2 )

Step-by-step explanation:

let the coordinates of the endpoint be (x , y )

using the midpoint formula

consider the x- coordinate

\frac{1}{2}(x + 1.7) = - 7.5 ( multiply both sides by 2 )

x + 1. 7 = - 7.5 ( subtract 1.7 from both sides )

x = - 16.7

consider the y-coordinate

\frac{1}{2}(y - 4.6 ) = 0.3 ( multiply both sides by 2 )

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3 0
3 years ago
PLEASE HELPPPPP
dsp73

Answer:

see explanation

Step-by-step explanation:

the equation of parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier.

here (h, k ) = (3, 1 ) , then

y = a(x - 3)² + 1

to find a substitute any other point on the graph into the equation.

using (0, 7 )

7 = a(0 - 3)² + 1 ( subtract 1 from both sides )

6 = a(- 3)² = 9a ( divide both sides by 9 )

\frac{6}{9} = \frac{2}{3} = a

y = \frac{2}{3} (x - 3)² + 1 ← in vertex form

------------------------------------------------------

the equation of a parabola in factored form is

y = a(x - a)(x - b)

where a, b are the zeros and a is a multiplier

here zeros are - 1 and 3 , the factors are

(x - (- 1) ) and (x - 3), that is (x + 1) and (x - 3)

y = a(x + 1)(x - 3)

to find a substitute any other point that lies on the graph into the equation.

using (0, - 3 )

- 3 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )

1 = a

y = (x + 1)(x - 3) ← in factored form

3 0
2 years ago
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