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vichka [17]
2 years ago
12

Karim uses. Total of 20 cup of batter to make x cupcakes and a cake. He uses 2/3 cups of batter for each cupcake and 4 cups of b

atter for the cake. How many cupcakes x can karim make if he uses all the batter
Mathematics
1 answer:
tino4ka555 [31]2 years ago
8 0

Answer:

24 cup cakes

Step-by-step explanation:

Karim uses. Total of 20 cup of batter to make x cupcakes and a cake. He uses 2/3 cups of batter for each cupcake and 4 cups of batter for the cake. How many cupcakes x can karim make if he uses all the batter

Let us represent:

Number of cup cakes = x

Number of cakes = y

x + y = 20 cups of batter

x + y = 20...... Equation 1

x = 20 - y

2/3 cups of batter for each cupcake and 4 cups of batter for the cake

Number of cups of batter for the cupcakes

= 20 - 4

= 16 cups of batter is used for the chop cakes

2/3 cups of batter for each cupcake

Hence:

2/3 cups of batter = 1 cup cakes

16 cups of batter = x

Cross Multiply

2/3 x x = 16

x = 16 ÷ 2/3

x = 16 × 3/2

x = 24 cup cakes

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Step-by-step explanation:

Using the properties of logarithms, the left side of the equation becomes

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while the right hand side becomes

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so we end up with

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4 0
2 years ago
A knife is three times the cost of a spoon. 9 spoons and 12 knifes cost ?82.80 workout the cost of 1 knife.
tankabanditka [31]

Let S = spoon

Let K = knife


1 knife is thee times the cost of a spoon, so it would be 3S

Now you have 9S + 12K = 82.80

We can replace the K with 3S:

9S +12(3S) = 82.80

Simplify the left side:

9S + 36S = 82.80

Add:

45S = 82.80

Divide both sides by 45"

S = 82.80 / 45

S = 1.84

One spoon cost $1.84


We know one knife cost 3 times as much, so multiply the cost of a spoon by 3:

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7 0
3 years ago
Read 2 more answers
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Answer:

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3 years ago
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irinina [24]

Answer:

23^oF-(-8^oF)

Step-by-step explanation:

We have been given that at midnight, the temperature was -8^oF. At noon, the temperature was 23^oF.

Since our temperature has increased to 23 degree Fahrenheit from -8 degree Fahrenheit, we can represent this increase in temperature as:

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Answer:

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Step-by-step explanation:

Tp is (-3,6) implies the quadratic could have been

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