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Natali5045456 [20]
3 years ago
9

Jonathan has 1 3/4 hours to practice guitar. If he spends 1/8 hour on each song, how many songs can Jonathan practice? For how m

any minutes does he practice each songs

Mathematics
2 answers:
LiRa [457]3 years ago
7 0
This should be the answers

Nata [24]3 years ago
7 0

The answer is 14 trust me I did this one.

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Suppose you need to get the dent in your car fixed. You see the ads in the newspaper above (mikes repair shop $100 service charg
Norma-Jean [14]

Answer:

<em>Total Cost at Amy's shop is $280 which is less than the total cost at Mike's shop which is $295, so I will take the car to Amy's shop</em>

<em>Point of intersection: (x,y) = (4,360)</em>

Explanation:

Part 1 )

Let x = number of hours worked

Let y = total cost to you

Determining where to take the car:

<em>Total Cost at Amy's shop is $280 which is less than the total cost at Mike's shop which is $295</em>

Mike's repair shop:

Service fee: $100

Per hour rate: $65

Let x is the number of hours worked on. Total cost will be equal to the service fee plus hourly charges. Charges per an hour are $65, so for x hours the charges will be 65x.

Therefore, total cost for Amy's repair shop can be written as:

y = 100 + 65x ------(1)

For 3 hours work: y = 100 + 65(3)

<em>Cost at Mike's, y = $100 + $195 = $295</em>


<em>Amy's repair shop: </em>

Service fee: $40

Per hour rate: $80

Charges per an hour are $40, so for x hours the charges will be 80x.

Therefore, total cost for Amy's repair shop can be written as:

y = 40 + 80x ------(2)

For 3 hours work: x = 3

y = 40 + 80(3)

<em>Cost at Amy's, y  = $40 + $240 = $280</em>


<em>Part 2)</em>

<em>Find the point of intersection</em>

<em>Using elimination method:</em>

<em>y = 100 + 65 x    ------1</em>

<em>y = 40 + 80x      ------2</em>

<em>As the y coefficients are equal we will subtract eq1 from eq2</em>

<em>y - y = 40 + 80x - 100 - 65x</em>

<em>0 = -60 + 15x</em>

60 = 15x

x = \frac{60}{4}

x = 4

put x = 4 in eq 1

we get y = 100 + 65 (4) = 100 + 260 = 360

x = 4, y = 360

Point of intersection: (x,y) = (4,360)



8 0
3 years ago
help solving inequalities true or false (middle school) first person to answer i’ll give brainliest please!!!
dalvyx [7]

Answer:

aef true and bcd false

hope u get well in your exams

Step-by-step explanation:

3 0
3 years ago
7 x 7 using an exponent
andriy [413]

Answer:

7²

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Please answer both questions determine whether the function has an inverse function
Eduardwww [97]

Answer:

Pay attention to class

Step-by-step explanation:

8 0
3 years ago
Explain why sin^-1(sin(3pi/4))does not equal 3pi/4 when y=sin x and y=sin^-1 x are inverses.
Fofino [41]

Because they're not inverses, not exactly. \sin x is not invertible on its entire domain because it's not one-to-one. There are infinitely many values of x such that \sin x=0, for example.

The standard function \sin^{-1}x has a domain of -1\le x\le1 and outputs values between -\dfrac\pi2 and \dfrac\pi2. This means that its inverse, \sin x, is indeed its inverse as long as -\dfrac\pi2\le x\le\dfrac\pi2.

\dfrac{3\pi}4 is larger than \dfrac\pi2 and thus does not fall in the "invertible part" of the domain of \sin x. We have

\sin\dfrac{3\pi}4=\dfrac1{\sqrt2}

which is a value between -1 and 1, so that

\sin^{-1}\left(\sin\dfrac{3\pi}4\right)=\sin^{-1}\left(\dfrac1{\sqrt2}\right)=\dfrac\pi4

If we wanted to recover \dfrac{3\pi}4, we'd have to redefine \sin^{-1}x or define a new inverse function that works on a different branch of the domain of \sin x.

7 0
3 years ago
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