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Liula
3 days ago
11

A lab requires 38g of sodium bicarbonate. One box of sodium bicarbonate contains 454 g. How many boxes will the teacher require

to provide enough materials for 20 students?
A. 1 box
B. 2 boxes
C. 3 boxes
D. 4 boxes
Mathematics
2 answers:
PIT_PIT [9.1K]3 days ago
6 0
2 boxes
PIT_PIT [9.1K]3 days ago
3 0
The answer is 2 boxes. I had the same question, and I selected 2 boxes, which was correct. Hope you got it too!
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A machine can stamp 40 envelopes in 8 mins. How many of these machines working simultaneously are required or needed to stamp 12
lawyer [9240]

Answer:

24 minutes

Step-by-step explanation:

Let y represent the rate of 120 envelopes per minute.

40/8 = 120/y

40y = 8 * 120

40y = 960

y = 960/40

= 24 minutes

3 0
23 days ago
Read 2 more answers
Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 0.35 m3 of fluffy
Svet_ta [9500]

Complete Question

Angela has constructed a wedge-shaped pillow for her TV watching needs. It contains 0.35 m³ of fluffy material. The pillow's base area measures 0.5m², and its height stands at 1m.

What is the length of the pillow?

Provide an exact answer (no rounding).

Answer:

1.4m

Step-by-step explanation:

A wedge can be defined as a Triangular prism. Thus,

The volume formula for a wedge (Triangular prism) is given by: 1/2 × B × H × L

b = 0.5m

h = 1 m

l =??

Volume of the wedge = 0.35 m³

0.35 = 1/2 × 0.5 × 1 × L

0.35 = 0.25 × L

Solving for L, we get: L = 0.35/0.25

L = 1.4m

4 0
1 month ago
Chris has a cell phone plan with a flat fee of $26.00 per month, plus a cost of $0.12 per minute of usage. Chris can only afford
tester [8842]

For Chris, the calculation for his monthly telephone expense is as follows:

C (x) = 26 + 0.12x

Where "x" denotes each minute used.

Given that Chris can afford a bill of $86, we have:

26 + 0.12x \leq86\\0.12x \leq86-26\\0.12x \leq60\\x \leq \frac {60} {0.12}\\x \leq500

The total minutes of usage must not exceed 500 per month. Consequently, the viable choice is option C.

Answer:

Option C

3 0
25 days ago
An upscale resort has built its circular swimming pool around a central area that contains a restaurant. The central area is a r
zzz [9080]
The diagram below illustrates the issue at hand.

Question 1:
The maximum area of the pool equals half the area of the circle.

To calculate the area of the circle: Area = πr², with r being half of the diameter.
Thus, Area of circle = π(60)² = 11309.73355 square feet.

Therefore, the area representing half the circle amounts to 11309.73355/2 = 5654.866... ≈ 5654.87 square feet (rounded to 2 decimal places).

Question b:

To find the pool's area, we take the circle's area and subtract the triangle's area.

The area of the circle is 11309.73 square feet.

For the triangle's area calculation: 1/2 × (60×103.92) = 3117.6 square feet.

The area of the pool thus operates as 11309.73 - 3117.6 = 7922.13 square feet.

Calculating the pool's volume: 7922.13 × 4 = 31688.52 cubic feet.

Note: Information related to the fish tank is unavailable, so the above calculation focuses solely on the entire pool's volume.

6 0
17 days ago
Suppose that the number of drivers who travel between a particular origin and destination during a designated time period has a
zzz [9080]

Answer:

Step-by-step explanation:

It has been established that the count of drivers traveling between a specific origin and destination in a certain time frame follows a Poisson distribution with a mean μ = 20 (as indicated in the article "Dynamic Ride Sharing: Theory and Practice"†).

a) P(X\leq 15) = 0.1565=0.157

b) P(X>26) =1-F(26)\\= 1-0.9221\\=0.0779=0.078

c) P(15\leq x\leq 26)\\=F(26)-F(14)\\=0.9221-0.1049\\=0.8172=0.817

d) 2 standard deviations = 2(20) = 40

Thus, this means the range for 2 standard deviations is

20-40, 20+40

which equates to (0,60)

P(0

5 0
24 days ago
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