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Veseljchak [2.6K]
3 years ago
8

How many solutions does the following equation have? 35+ 4) = 3y + 123

Mathematics
1 answer:
kotegsom [21]3 years ago
4 0

Answer:

y= -28

Step-by-step explanation:

35+4=3y+123

39=3y+123

-3y+39=123

-3y=123-39

-3y=84

y= -28

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Name the subsets of which the number 13 belongs to. If you can even just tell me how to find the subset that's great! :)
Mamont248 [21]
It also belongs to set of natural numbers.
6 0
3 years ago
Ella earns 1.5 her normal hourly rate for overtime pay. Last week, Ella earned $72.00 in overtime pay for 4 hours. What is Ella'
mr_godi [17]

Answer:

Ella's normal hourly pay is $12 per hour.

Step-by-step explanation:

Let us assume that the Ella's Normal hourly pay = $x per hour

Over hourly pay = 1.5 times ( Normal pay)

                           = 1.5 ( x)  =  $ 1.5 x

⇒Ella earns $1.5x in 1 hour of overtime.

So the amount she earns in 4 hour of overtime =  4 times (per hour pay)

                                                                                = 4 ( $1.5x)   = $ 6 x

The amount Ella earned in 4 hours of over time = $72.00

According to the question:

$ 6 x  = $72.00

or, x = 72/6

       =12

or , x  =  $12

Hence, Ella's normal hourly pay is $12 per hour.

7 0
4 years ago
What is 5.4e+6 in numbers?
astraxan [27]

Answer:

5,400,000

Step-by-step explanation:

E+ simply means "to the power of" So your question is 5.4*10^6 which would turn out as 5,400,000

<u><em>Hope this helps!!!</em></u>

<u><em>Brady</em></u>

6 0
3 years ago
What is the equation of a parabola with a focus (-2,4) and directrix y = 0?
Ronch [10]
The general form of a parabola  when using the focus and directrix is:
(x - h)² = 4p(y - k) where (h, k) is the vertex of the parabola and 'p' is distance between vertex and the focus.  We use this form due to the fact we can see the parabola will open up based on the directrix being below the focus.  Remember that the parabola will hug the focus and run away from the directrix.  The formula would be slightly different if the parabola was opening either left or right.

Given a focus of (-2,4) and a directrix of y = 0, we can assume the vertex of the parabola is exactly half way in between the focus and the directrix.  The focus and vertex with be stacked one above the other, therefore the vertex will be (-2, 2) and the value of 'p' will be 2.  We can now write the equation of the parabola:
(x + 2)² = 4(2)(y - 2)
(x + 2)² = 8(y - 2)  Now you can solve this equation for y if you prefer solving for 'y' in terms of 'x'
5 0
3 years ago
a sprinkler that sprays water in a circular area can be adjusted to spray up to 30 feet. turning the radius-reduction screw on t
Zarrin [17]

Answer:

1590.4 square ft

Step-by-step explanation:

r=30 so you need to multiply that by 25% (30*.25=7.5)

30-7.5=22.5

A= pi(r)^2

A=pi*(22.5)^2

A=506.25pi

A=1590.43 or 1590.4 (to the nearest tenth)

4 0
3 years ago
Read 2 more answers
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