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schepotkina [342]

1 year ago

10

100 milliliters is the same as how many teaspoons? Round your answer to the nearest tenth.

1 answer:

pentagon [3]1 year ago

4 0

Answer:

20.3

Step-by-step explanation:

1 ml = 0.202884 teaspoons

divide 100 by 0.202884 and you should get your answer

$\frac{100}{0.202884} =20.2884$

round it to get 20.3

Hope I helped :)

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Try solving 2 divided by 3 and tell me whether the answer is repeating or stoped and show YOUR WORK of you got the answer.

mrs_skeptik [129]

I got a repeating answer as well.

8 0

3 years ago

"What is the probability that the next two employees that join the office staff will take the bus"

castortr0y [4]

Answer:

The correct option is A.

Step-by-step explanation:

Consider the complete question is "The table shows the transportation method used by the employees in an office.

Transportation Number of employees

Car 18

Bus 6

Walk 6

what is the probability that the next two employees that join the office staff will take the bus? A.0.04, B.0.12, C.0.33, D.0.36.

Total number of employees = 18 + 6 + 6 = 30

The probability that the employees take the bus = $\frac{6}{30}=0.2$

The probability that the employees that join the office staff will take the bus is

$Probability=(0.2)\times (0.2)=0.04$

Therefore, the correct option is A.

7 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

Find the perimeter of each polygon. Assume that lines which appear to be tangent are tangent.

ratelena [41]

9514 1404 393

Answer:

34.8

Step-by-step explanation:

The only polygon in the figure is the triangle outlined in red. Its perimeter is the sum of its side lengths: 15 +6.1 +13.7 = 34.8 units.

__

The two halves of the chord are the same length.

4 0

2 years ago

Solve and check please help ty

raketka [301]

so wt's the question of this pic?

5 0

2 years ago