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KIM [24]
1 year ago
9

Babu has 540 cakes. He wants to distribute them equally to some persons. If the number of cakes given to each person is equal to

15% of the number of persons, find the number of cakes given to each person.
Mathematics
1 answer:
Zina [86]1 year ago
4 0

Answer:

9 cakes

Step-by-step explanation:

Let the number of cakes = x

Let the number of persons = y

y = \frac{540}{x}

Since x = (\frac{15}{100})y

\frac{540}{\frac{15}{100}}y = y

y² = \frac{(540\time 100}{15})y = 3600

y = ±√3600

y = 60    [60 persons]

x = \frac{540}{60} = 9

9 cakes given to each person.

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Which equation represents a proportional relationship that has a constant of proportionality equal to –10? y = x minus 10 y = x/
kicyunya [14]

Answer:

y=-10x

Step-by-step explanation:

y=-10x

y/x=-10

6 0
2 years ago
What are the solution(s) to the quadratic equation 40 − x2 = 0?
Anni [7]
X = 20
First, you move the 40 to the other side.
-2x=-40
Then, you divided -40 by -2.
x= -40/-2
x= 20
x is 20 because the negatives cancel out making it positive.
4 0
2 years ago
Read 2 more answers
Find the sine function that is represented in the graph.
meriva

Answer:

Choice D). f(x)=20\sin(4x) is correct.

Step-by-step explanation:

Given function graph is sinusoidal so let's compare with formula f(x)=A\sin(Bx-C)+D

We know that amplitude is the height from the center line to the peak (or to the trough). From graph we can see that height from the center line to the peak is 20

So amplitude A=20

In that formula, period is given by \frac{2\pi}{B}

From graph we see that period is \frac{\pi}{2}

So both must be equal

\frac{2\pi}{B}=\frac{\pi}{2}

\frac{2}{B}=\frac{1}{2}

cross multiplying them gives

B=4

Clearly there is no shift so C and D are 0

Now plug these values into formula f(x)=A\sin(Bx-C)+D

f(x)=20\sin(4x-0)+0

f(x)=20\sin(4x)

Hence choice D is correct.

6 0
2 years ago
Sales tax on an item is directly proportional to the cost of the item purchased. If the tax on a $600 item is $42, what is the s
Dafna11 [192]
Answer: $65.10

Step-by-step work:

1.Set the ratio
\frac{600}{42}  =  \frac{930}{x}
2.Cross-multiply
600x = 930(42)
600x = 39060
3.Divide to single out x
600x \div 600 = 39060 \div 600
x = 65.10


4 0
2 years ago
A farmer sells 6.5 kilograms of pears and apples at the farmer's market. 3/4 of this weight is pears, and the rest is apples. Ho
Jet001 [13]

Answer:

1.625 kilograms

Step-by-step explanation:

Since total weight of pears and apples is 6.5 kilograms and 3/4 of this weight is pears, the weight of the pears is

→ 6.5 x 3/4 = 4.875 kilograms

Since the weight of the pears is 4.875, we can subtract it from the total weight to find the weight of the apples

→ 6.5 - 4.875 = 1.625 kilograms

8 0
1 year ago
Read 2 more answers
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