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KATRIN_1 [288]
3 years ago
10

When 1 is subtracted from three- tenths of the number, the result is equal to one-fifth of a number. What is the number

Mathematics
1 answer:
Bas_tet [7]3 years ago
8 0
Based on the given mathematical statement, it can be rewritten into a mathematical equation to simplify and to be solved easily. The statement, "When one is subtracted from three-tenths of a number" corresponds to the equation, 3x/10 - 1, that is assuming the number is represented by the variable x. This is equal to one-fifth of the number. In other words,
3x/10 - 1 = x/5
x = 10
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Short answer: 375 grams

Remark
You only need to set up a direct proportion

Givens
flour for 12 cakes = 150 grams
Number of cakes initially = 12
Amount of flouer for 30 cakes = x
Number of cakes = 30

Proportion
amount flour for 12 cakes / 12 cakes  = x / 30

Sub and solve
150 grams / 12 cakes = x / 30 cakes  Cross multiply
150 * 30 = 12 *x                                  Multiply the left side. 
4500 = 12 x                                         Divide both sides by 12
4500/12 = x
375 grams for 30 cakes. <<<<< Answer
5 0
3 years ago
What is the equation (simplified) the inverse of y=2x^2?
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3 0
3 years ago
Find the equation of the straight line that passes through points (-1; -2) and (3; 4)
Leya [2.2K]
Y=mx+b is our base equation

m=slope, so let's find that first:
m= change in y/change in x
So between the points (-1,-2) and (3,4),
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Now our equation is
Y=3/2x + b

We still need to find b
To find b, we can substitute a point given to us. Let's use (3,4) just to avoid negatives.

4=3/2(3) + b
Multiply
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Subtract 9/2 from both sides
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Now let's put it all back together!

Y=3/2x-1/2 Is the answer.

I hope this Helps!


6 0
3 years ago
Photon Lighting Company determines that the supply and demand functions for its most popular lamp are as follows: S(p) = 400 - 4
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S(p)=D(p)
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8 0
3 years ago
Read 2 more answers
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scoundrel [369]

Answer:

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r=radius of small circle

A1=Area of small circle

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A1=pi*r*2

A2=pi*R^2

A2=pi*(9r)^2

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A2=4050cm^2

Hence the big circle has area of 4050cm^2

Step-by-step explanation:

4 0
3 years ago
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