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2 years ago

10

NEED ASAP What is the quotient and remainder of 8,595 ÷ 24?

2 answers:

dmitriy555 [2]2 years ago

5 0

Answer:

358 3/24

Step-by-step explanation:

mr_godi [17]2 years ago

3 0

Answer:

358.125

Step-by-step explanation:

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857,288 - 38,927 us my question

Ganezh [65]

The answer is 818,361!

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2 years ago

Read 2 more answers

The length of a rectangle is measured as 370mm correct to 2 significant figures.

olga nikolaevna [1]

Answer:

UB: 375

Step-by-step explanation:

370mm to 2 sig figs..

UB: 375

LB:365

Please rate me 5 stars and thank me :)

5 0

3 years ago

Write an expression for the following a. One more than twice a number b. A number decreased by 6 c. Two-thirds of a number

sergiy2304 [10]

a= 1+2b, b=1-6, c=2/3d. Hope this helps, I used D as a number in C you don't have to use d.

8 0

3 years ago

A box with a rectangular base and open top must have a volume of 128 f t 3 . The length of the base is twice the width of base.

noname [10]

Answer:

$Width = 4ft$

$Height = 4ft$

$Length = 8ft$

Step-by-step explanation:

Given

$Volume = 128ft^3$

$L = 2W$

$Base\ Cost = \$9/ft^2$

$Sides\ Cost = \$6/ft^2$

Required

The dimension that minimizes the cost

The volume is:

$Volume = LWH$

This gives:

$128 = LWH$

Substitute $L = 2W$

$128 = 2W * WH$

$128 = 2W^2H$

Make H the subject

$H = \frac{128}{2W^2}$

$H = \frac{64}{W^2}$

The surface area is:

Area = Area of Bottom + Area of Sides

So, we have:

$A = LW + 2(WH + LH)$

The cost is:

$Cost = 9 * LW + 6 * 2(WH + LH)$

$Cost = 9 * LW + 12(WH + LH)$

$Cost = 9 * LW + 12H(W + L)$

Substitute: $H = \frac{64}{W^2}$ and $L = 2W$

$Cost =9*2W*W + 12 * \frac{64}{W^2}(W + 2W)$

$Cost =18W^2 + \frac{768}{W^2}*3W$

$Cost =18W^2 + \frac{2304}{W}$

To minimize the cost, we differentiate

$C' =2*18W + -1 * 2304W^{-2}$

Then set to 0

$2*18W + -1 * 2304W^{-2} =0$

$36W - 2304W^{-2} =0$

Rewrite as:

$36W = 2304W^{-2}$

Divide both sides by W

$36 = 2304W^{-3}$

Rewrite as:

$36 = \frac{2304}{W^3}$

Solve for $W^3$

$W^3 = \frac{2304}{36}$

$W^3 = 64$

Take cube roots

$W = 4$

Recall that:

$L = 2W$

$L = 2 * 4$

$L = 8$

$H = \frac{64}{W^2}$

$H = \frac{64}{4^2}$

$H = \frac{64}{16}$

$H = 4$

Hence, the dimension that minimizes the cost is:

$Width = 4ft$

$Height = 4ft$

$Length = 8ft$

8 0

2 years ago

An 118 inch board is cut into two pieces. one piece is 14 inches longer than the other piece find the length of each piece

IRINA_888 [86]

Step by step, 118-14=104, you would then divide 104 by 2 giving you 52, 52+14= 66, one piece is 66 inches while the other is 52 inches, adding them together would be 118

5 0

3 years ago