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Serhud [2]
3 years ago
12

Jamal works as an electrician’s apprentice. He rewired 4 electrical outlets in 1 1/2 hours. If he works at the same pace for 7.5

hours, how many outlets will he rewir?
Mathematics
2 answers:
andre [41]3 years ago
8 0
20 outlets, I can’t really explain but I’ll try to.
Anna35 [415]3 years ago
5 0

Answer: 20 outlets.

Step-by-step explanation:

We know that Jamal rewired 4 electrical outlets in 1 1/2 hours. This time can be rewritten as a decimal:

(1+\frac{1}{2})hours=1.5hours

 Then, if he works at the same pace for 7.5 hours you can calculate the number of outlets that he will rewire with:

\frac{1.5}{4}=\frac{7.5}{x}

Being "x" the number of outlets that Jamal will rewire.

Finally, you have to solve for "x":

\frac{1.5}{4}=\frac{7.5}{x}\\\\x(\frac{1.5}{4})=7.5\\\\x=(7.5)(\frac{4}{1.5})\\\\x=20

He will rewire 20 outlets.

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The variables x and y vary directly. Write an equation that relates x and y, when x = 4 and y = 16
Nesterboy [21]

Answer:

y = 4x

Step-by-step explanation:

When we say that x and y "vary directly", we mean that they have the relationship: y = kx, where k is a "constant of proportionality".

Here, we want to know what k is, so we plug 4 in for x and 16 in for y:

y = kx

16 = k * 4

k = 16/4 = 4

Thus, our equation is y = 4x.

8 0
3 years ago
Read 2 more answers
A farmer has 1,200 feet of fencing and wants to fence off a rectangular field that borders a straight river. He needs no fence a
iVinArrow [24]
Yay, derivitives
I'mma ignore that x is the shorter side because I don't know which one has to be shorter yet


we need to find the max area
but with 3 sides

area=LW
let's say the sides are z and y
zy=area

and the relatiionship between them is
hmm,
z+2y=1200
because one side has no fencing
so
z+2y=1200
solve for z
z=1200-2y
sub for z in other

(1200-2y)(y)=area
expand
1200y-2y²=area
take derivitive
1200-4y=dy/dx area
max is where dy/dx goes from positive to negative
solve for where dy/dx=0
1200-4y=0
1200=4y
300=y

at y<300, dy/dx<0
at y>300, dy/dx>0
so at y=300, that is the max

then
z=1200-2y
z=1200-2(300)
z=1200-600
z=600

so then
z=600
y=300
300<600

so the shorter side would be y

so then we see our choices and noticed that
erm
I think it is f(x)=1200x-2x²
takind the derivitive yeilds none of the others


so ya, you are right
6 0
3 years ago
Read 2 more answers
Janie took out a loan for $4850 at a 13.8% APR, compounded monthly, to buy
Masteriza [31]

Answer:

The total payment Janie have to make is $5466 .

Step-by-step explanation:

Given as :

The loan principal = $4850

The rate of interest applied = 13.8% compounded monthly

Let The time period of loan = t years

The monthly payment she make = $455.50 each month

I.e She make payment for t years = $455.50 × n

where n is the number of terms

<u>From Compound Interest</u>

Amount = Principal × (1+\dfrac{\textrm rate}{12\times 100})^{12\times time}

Or,  $455.50 × n  = $4850 × (1+\dfrac{\textrm 13.8}{12\times 100})^{12\times time}

Or, \dfrac{455.50}{4850} × n  = (1.0115)^{12\times 1}

Or, 0.0939 × n  = (1.0115)^{12}

Or, 0.0939 × n = 1.14707

∴ n = \dfrac{1.14707}{0.0939}

I.e n = 12.21 ≈ 12

So, The number of terms Janie she will pay = 12

So, The total payment she have to make = $455.50 × 12 = $5466

Hence The total payment Janie have to make is $5466 . Answer

8 0
3 years ago
Read 2 more answers
Ali bought 16 packs of cola each pack had 6 cans he drank 9 cans how many left?
PSYCHO15rus [73]

Answer:

87

Step-by-step explanation:

16 × 6 = 96 cans

96 - 9 = 87

8 0
4 years ago
Read 2 more answers
What is the square root of -1?
Otrada [13]

Answer:

Second choice: i

Square root of -1 is an imaginary number, represented as i.

Please mark as BRAINLIEST! Thanks!

4 0
4 years ago
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