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3 years ago

5

Amy has save $725 for a new guitar costs $475, and guitar lessons are $25 per hour. Determine how many hours of lessons she can

afford

1 answer:

STALIN [3.7K]3 years ago

6 0

$725 - $475 = $250

$250 are left with Amy

$250 divided by $25 = 10

Amy can afford 10 guitar lessons :)

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A bridge in the shape of an arch connects two cities separated by a river. The two ends of the bridge are located at (–7, –13) a

sdas [7]

Answer:

$y=-\dfrac{13}{49}x^2$

Step-by-step explanation:

The shape of an arch corresponds to a parabola.

the general equation for a parabola is:

$y=ax^2+bx+c$

we're given three coordinates: (-7,-13),(7,-13) and (0,0)

so we can plug these values in the general equation to make 3 separate equations:

(x,y) = (-7,-13)

$-13=a(-7)^2+b(-7)+c$

$49a-7b+c=-13$

(x,y) = (7,-13)

$-13=a(7)^2+b(7)+c$

$49a+7b+c=-13$

(x,y) = (0,0)

$0=a(0)^2+b(7)+c$

$c=0$

so we have three equations. and we can solve them simultaneously to find the values of a,b, and c.

we've already found c = 0, let's use substitute it to other equations.

$49a-7b+c=-13\quad\Rightarrow\quad49a-7b=-13$

$49a+7b+c=-13\quad\Rightarrow\quad49a+7b=-13$

we can solve these two equation using the elimination method, by simply adding the two equations

$\quad\quad49a-7b=-13\\+\quad49a+7b=-13$

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

$\quad\quad 98a=-26$

$\quad\quad a=-\dfrac{13}{49}$

Now we can plug this value of a in any of the two equations.

$49a-7b=-13$

$49\left(-\dfrac{13}{49}\right)-7b=-13$

$-13-7b=-13$

$-7b=0$

$b=0$

We have the values of a,b, and c. We can plug them in the general equation to find the equation of the arch.

$y=\left(-\dfrac{13}{49}\right)x^2+0x+0$

$y=-\dfrac{13}{49}x^2$

$49y=-13x^2$

This our equation of the arch!

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3 years ago

Your middle school has 900 students one third of the students bring their lunch instead of buying your lunch at school what is t

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1/3 of all students bring lunch
2:3 is the ratio of students who bring their lunch to the number of students who do not

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Evan has a storage unit that he keeps all his garden tools in. It measures 4 feet by 312 feet by 2 feet.A prism has a length of

Alexxandr [17]

The maximum amount of supplies that the storage unit can hold is 28 ft³

<h3>How to calculate the volume of a rectangular prism?</h3>

For us to calculate the volume or amount of space in Evan's prism, we will first of all calculate the volume of rectangular prisms. Formula is;

V = Length × width × height.

We are given;

length = 4 feet

width = 3.5 feet

height of the prism = 2 feet.

Thus;

V = 4 * 3.5 * 2

V = 28 ft³

Thus, the maximum amount of supplies that the storage unit can hold is 28 ft³

Read more about Volume of Rectangular Prism at; brainly.com/question/4062480

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How many and what type of solutions?

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Hello,

2k²-3k-9=0
==>k=3 or k=-3/2

Answer C two rational solutions.

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The price of a smartphone increased from $25 to $40. Find the percent<br> increase

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Answer:60% increase

Source:trust me bro

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