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xxMikexx [17]
3 years ago
11

You are paid $82.50 for 71212 hours of work. What is your rate of pay?

Mathematics
1 answer:
yanalaym [24]3 years ago
3 0
If you would like to know what is your rate of pay, you can calculate this using the following steps:

$82.50 ... 7.5 hours
$x = ? ... 1 hour

82.50 * 1 = 7.5 * x
82.50 = 7.5 * x     /7.5
x = 82.50 / 7.5
x = $11

The correct result would be $11 per hour.
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How do i solve using the rational root theorem. 2x3-9x2-11x+8=0
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2(3)-9(2)-11x+8=0
(2)(3)-(9)(2)-11x+8=0
6+-18+-11x+8=0
(-11x)+(6+-18+8)=0 Combine Like Terms.
-11x+-4=0
-11x-4=0
Add 4 to both sides.
-11x-4+4=0+4
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Divide both sides by -11.
-11x/-11=4/-11
x=-4/11

Hope this helps!

4 0
3 years ago
A real number between √13 and √14
Liono4ka [1.6K]

Answer:

3.7

Step-by-step explanation:

6 0
3 years ago
Identify the interquartile range for the set of values below. 37, 34 , 29 , 33, 35 , 30 , 34 A) 4 B) 5 C) 3 D) 8
dusya [7]

Answer:25th Percentile: 5

50th Percentile: 30

75th Percentile: 34

Interquartile Range: 29

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
A box is being created out of a 15 inch by 10 inch sheet of metal. Equal-sized squares are cutout of the corners, then the sides
ivolga24 [154]

Answer:

Therefore the dimensions of the square should be 0.1528 inch by 0.1528 inch so, the box  has largest volume.

Step-by-step explanation:

Given that,

A box is being created out of a 15 inches by 10 inches sheet of metal.

The length of the one side of the squares which are cut out of the each corners of the metal sheet be x.

The length of the metal box be = (15-2x) inches.

The width of the metal box be =(10-2x) inches

The height of the metal box be =x inches

Then, the volume of the metal box= length×width×height

                                                         =(15-2x)(10-2x)x cubic inches

                                                         =(150x-50x²+4x³) cubic inches

∴ V= 4x³-50x²+15x

Differentiating with respect to x

V'=12x²-100x+15

Again differentiating with respect to x

V''=24x-100

For maximum or minimum value, V'=0

12x²-100x+15=0

Apply quadratic formula x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}, here a=12, b= -100 and c=15

x=\frac{-(-100)\pm\sqrt{(-100)^2-4.12.15}}{2.12}

\Rightarrow x=\frac{100\pm\sqrt{9280}}{2.12}

\Rightarrow x=0.1528,8.18

For x= 8.18, The value of (15-2x) and (10-2x) will negative.

∴x=0.1528 .

Now, V''|_{x=0.1528}=24(0.1528)-100

∴At x=0.1528 inch, the volume of the metal box will be maximum.

Therefore the dimensions of the square should be 0.1528 inch by 0.1528 inch so, the box  has largest volume.

4 0
3 years ago
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