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2 years ago

6

A bakery sold 147 chocolate cupcakes in a day, which was 49% of the total number of cupcakes sold that day. How many total cupca

kes did the bakery sell that day?

1 answer:

Mademuasel [1]2 years ago

7 0

Answer:300

Step-by-step explanation:

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If 400 mL of a 20% w/v solution were diluted to 2 L, what would be the final percentage strength?

irakobra [83]

Answer:

4%

Step-by-step explanation:

A 20% solution with a total volume of 400 mL has 20% * 400 mL of solute.

20% * 400 mL = 80 mL

When you dilute the solution to 2 L, you introduce additional water, but no additional solute, so now you have the same 80 mL of solute in 2 L of total solution.

The concentration is:

(80 mL)/(2 L) = (80 mL)/(2000 mL) = 0.04

As a percent it is:

0.04 * 100% = 4%

3 0

2 years ago

A square has sides with a length of 5.8 inches. what is the effect on the perimeter of this square if the lengths of the sides a

Alla [95]

By definition, the perimeter of a square is given by:

$P = 4L$

Where,

L: length of the sides of the square.

When the sides of the square are tripled, the equation changes as follows:

$P '= 4 (3L)$

Then, rewriting the equation we have:

$P '= 3 (4L)$

$P '= 3P$

Where,

P: perimeter of the original square.

Therefore, we can conclude that the perimeter is tripled.

Answer:

The perimeter of the square is tripled.

$P '= 3P$

4 0

2 years ago

Simplify 12 1/3b + 6 2/3 - 10 2/3b

slavikrds [6]

Answer:

1 2/3b + 6 2/3

Step-by-step explanation:

$12\frac{1}{3}b+6\frac{2}{3}-10\frac{2}{3}b$

Combine like terms:

$1\frac{2}{3}b+6\frac{2}{3}$

Since you cannot do any more combination or simplification, you are done. Hope this helps!

4 0

2 years ago

The buyer for an electronics store wants to estimate the proportion of defective wireless game controllers in a shipment of 5,00

katrin2010 [14]

Answer:

We conlude that it is cluster random sample.

Step-by-step explanation:

We know that:

The buyer for an electronics store wants to estimate the proportion of defective wireless game controllers in a shipment of 5,000 controllers from the store's primary supplier. The shipment consists of 200 boxes each containing 25 controllers. The buyer numbers the boxes from 1 to 200 and randomly selects six numbers in that range. She then opens the six boxes with the corresponding numbers, examines all 25 controllers in each of these boxes, and determines the proportion of the 150 controllers that are defective.

We conlude that it is cluster random sample.

4 0

2 years ago

Rayna is building a tapered staircase using wooden boards. The bottom stair is 3 ft wide, and the top stair is 2 ft wide. Each s

Oksana_A [137]

Answer:

Total length of wooden boards = 10 feet

As 10 is a whole number, it can't be written as an improper fraction.

Step-by-step explanation:

First we need to convert the 4 in measurement to foot.

The conversion rate is: 12 inches = 1 foot.

So we have that 4 inches is equal to 1/3 feet.

If each stair is (1/3) feet shorter than the one below, we have that:

Bottom stair = 3 feet

Second stair = 2.666 feet

Third stair = 2.333 feet

Top stair = 2 feet

The staircase have 4 stairs:

3 feet, 2.666 feet, 2.333 feet and 2 feet

Now, to know the total length of wooden boards, we just need to sum the length of each stair:

Total = 3 + 2.666 + 2.333 + 2 = 10 feet

As 10 is a whole number, it can't be written as an improper fraction.

3 0

2 years ago