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aleksandrvk [35]
3 years ago
10

Amelia works for 6 hours and earns $48. The graph shows the relationship between the number of hours Amelia works, x, and the to

tal amount she earns.y
Which point representw the numbers of dollars Amelia makes per hour?
A(1,6)
B(1,8)
C(2,16)
D(6,48)
Mathematics
1 answer:
Volgvan3 years ago
4 0

Answer:

Option B.(1,8)

Step-by-step explanation:

Let

x ----> the number of hours worked

y ---->the amount earned in dollars

we know that

To find out the unit rate divide the total amount earned by the total hours worked

so

\frac{\$48}{6}=\$8\ per\ hour

That means

For x=1 hour, y=$8

therefore

The point that represent the unit rate is (1,8)

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Harrizon [31]

Answer:

I’m doing that exact question right now on a test so I just guessed

Step-by-step explanation:

3 0
3 years ago
Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x2 + 10 and y = 4x – 10? Che
guapka [62]
That would be :
 4x – 10 = x2 – 5x + 10  ( y = 4x - 10 is substitute for y)

 PROOF:        y + 5x = x²<span> + 10
</span>                      (4x - 10) + 5x = x² + 10
                       4x - 10  =  x² -5x + 10
     <span>
    
</span>0 = x2 – 9x + 20<span>  (liked terms are grouped and simplified)

PROOF:     </span> 4x - 10  =  x² -5x + 10
                    4x = x² -5x + 10 + 10
                     0  = x² -5x -4x + 20
                     0  = x² - 9x + 20


Solving:
              x² - 9x + 20 = 0 

              x² - 5x - 4x + 20 = 0

              (x - 5) (x - 4)  = 0

           ⇒ x = 4  (as question says) OR x = 5
     

8 0
3 years ago
Read 2 more answers
What is the area of a sector with a central angle of 8 π/11 radians and a radius of 7.2 ft? use 3.14 for π and round your final
coldgirl [10]

Answer:

59.19 ft^2

Step-by-step explanation:

step 1

Find the area of the circle

The area of the circle is equal to

A=\pi r^{2}

we have

r=7.2\ ft

\pi =3.14

substitute

A=(3.14)(7.2)^{2}

A=162.78\ ft^2

step 2

we know that

The area of a circle subtends a central angle of 2π radians

so

using proportion

Find out the area of a sector with a central angle of 8 π/11 radians

\frac{162.78}{2\pi }\frac{ft^2}{rad} =\frac{x}{(8\pi/11)}\frac{ft^2}{rad} \\\\x=162.78(8/11)/2\\\\x=59.19\ ft^2

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Answer: First option is correct.

Step-by-step explanation:

Since we have given that

3+4(16-9)

We first solve the brackets:

(16-9) = 7

Now, we multiply it with 4

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Now, we add 3 to it:

28+3=31

Hence, the value of expression would be 31.

Therefore, First option is correct.

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tatiyna
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