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VikaD [51]
3 years ago
7

If it takes 5 hours to do 2/3 of a job, how long will it take to complete a job?

Mathematics
1 answer:
VLD [36.1K]3 years ago
7 0
I set it up as a ratio with hours on the top and the fraction of the job on the bottom.  It looks like this: 5/(2/3) / x/1, because 1 is the whole job if 2/3 is only a fraction of it.  Cross multiplying gives you 2/3x = 5. Solving for x gives you that it will take 7.5 hours to complete a whole job if it takes 5 hours to complete 2/3 of it.
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What is the final price of a product that costs $14.30 with an added tax rate of 4%?
LenKa [72]
Change 4% into a decimal (.04)

14.30 x .04 = .57

Add the tax to product

14.30 + .57 = 14.87
8 0
3 years ago
Find the missing angle
Mila [183]

Answer:

55 degrees

Step-by-step explanation:

All angles in a triangle must equal 180 degrees when added together

They provide you with 2 angles 35 degrees and 90 degrees

So, you add 35 + 90 = 125

So you know that the 2 angles they give you equal 125 degrees

Now, you subtract 180 - 125 = 55

So the missing angle is 55 degrees

8 0
3 years ago
Read 2 more answers
louise bought 80 metres of fencing to make an enclosure for her pet dog .tommy if louise expects a rectangular enclosure what is
OleMash [197]

Answer:

400 m^2.

Step-by-step explanation:

The largest  area is obtained where the enclosure is a square.

I think that's the right answer because a square is a special form of a rectangle.

So the square would be 20 * 20  = 400 m^2.

Proof:

Let the  sides of the rectangle be x and y m long

The area A = xy.

Also the perimeter  2x + 2y = 80

x + y = 40

y = 40 - x.

So substituting for y in A = xy:-

A = x(40 - x)

A = 40x - x^2

For maximum value of A  we find the derivative and equate it to 0:

derivative A' =  40 - 2x = 0

2x = 40

x = 20.

So y = 40 - x

= 40 - 20

=20  

x and y are the same value so x = y.

Therefore for maximum area the rectangle is a square.

3 0
3 years ago
The approximate height, h, in meters, traveled by golf balls hit with two different clubs over a horizontal distance of d meters
inna [77]

Answer:

a) 100 metres

b) 10 metres

Step-by-step explanation:

Given: the approximate height, h, in meters, travelled by golf balls hit with two different clubs over a horizontal distance of d meters is given by the functions: h=-0.002d^2+0.3d\,,\,h=-0.004d^2+0.5d

To find: distances when the ball is at the same height when either of the clubs  are used. Also, to find this height

Solution:

(a)

-0.002d^2+0.3d=-0.004d^2+0.5d\\d(-0.002d+0.3)=d(-0.004d+0.5)\\-0.002d+0.004d=0.5-0.3\\0.002d=0.2\\d=\frac{0.2}{0.002}=100\,\,metres

(b)

Put d = 100 in h=-0.002d^2+0.3d

h=-0.002(100)^2+0.3(100)\\=-20+30\\=10\,\,metres

4 0
3 years ago
A cone and a cylinder have equal volume and bases of the same diameter if the height of the cone is 36 CM what is the height of
Oliga [24]
About 34 CM Height

Step By Step explanation
5 0
3 years ago
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