All categories

3 years ago

A baker can make 120 cupcakes in 2 hours. At that rate, how many cupcakes can he make in 3.5 hours? *

Mathematics

1 answer:

Valentin [98]3 years ago

4 0

Answer:

210

Step-by-step explanation:

first I took 120 and divided by four to show how many cupcakes he can make in thirty minutes (.5 of an hour). this was 30. the reason we divided by four is because in two hours theres four halves.

120÷4=30 for half an hour

30x2=60 this is how many cupcakes he can make in one hour

since we already know how many he makes in two hours we're going to use that

120+60=180 (three hours)

120+60=180 (three hours)180+30 (half an hour) =210

You might be interested in

A row team paddles 30 miles upstream in 2 hours and 30 miles downstream in 45 minutes. How fast can the row team paddle in still

sp2606 [1]

Answer:

Rate in still water = 27.5 mph

Current's rate = 12.5 mph

Step-by-step explanation:

Let

x mph = row team rate in still water

y mph = current's rate

Upstream:

Distance = 30 miles

Time = 2 hours

Rate = x - y mph

Then

$30=2(x-y)$

Downstream:

Distance = 30 miles

Time = 45 minutes $=\dfrac{3}{4}$ hour

Rate = x + y mph

Then

$30=\dfrac{3}{4}(x+y)$

From the first equation:

$30=2(x-y)\Rightarrow 15=x-y$

From the second equation:

$30=\dfrac{3}{4}(x+y)\Rightarrow 40=x+y$

Add these two equations:

$15+40=x-y+x+y\\ \\2x=55\\ \\x=27.5\ mph$

Subtract these two equations:

$40-15=x+y-(x-y)\\ \\25=x+y-x+y\\ \\2y=25\\ \\y=12.5\ mph$

8 0

4 years ago

With food prices becoming a great issue in the world; wheat yields are even more important. Some of the highest yielding dry lan

Rzqust [24]

Answer:

Option E) 61.6

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 100 bushels per acre

Standard Deviation, σ = 30 bushels per acre

We assume that the distribution of yield is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(X>x) = 0.90

We have to find the value of x such that the probability is 0.90

P(X > x)

$P( X > x) = P( z > \displaystyle\frac{x - 100}{30})=0.90$

$= 1 -P( z \leq \displaystyle\frac{x - 100}{30})=0.90$

$=P( z \leq \displaystyle\frac{x - 100}{30})=0.10$

Calculation the value from standard normal table, we have,

$P(z$

$\displaystyle\frac{x - 100}{30} = -1.282\\x = 61.55 \approx 61.6$

Hence, the yield of 61.6 bushels per acre or more would save the seed.

7 0

3 years ago

An equation has one solution. Never Sometimes Always

marysya [2.9K]

Answer:

Sometimes

Step-by-step explanation:

because you never know how many way you can do it

4 0

3 years ago

Read 2 more answers

*yawn*...............

Neko [114]

Answer:

yawwwwwwnnn......,....done

3 0

3 years ago

Sumerian merchants traded to import all of the following metals except

Rudiy27

Sumer was an urban civilization which was historically named as the first in the region of southern Mesopotamia, which is modernly called southern Iraq. This was a wealthy civilization composed of merchants of different metals and other stuffs. One thing they were not importing was iron metal.

5 0

3 years ago