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nataly862011 [7]
3 years ago
12

Trevon and Ming are selling cheesecakes for a school fundraiser. Customers can buy French silk cheesecake and apple cheesecake.

Trevon sold 8 French silk cheesecakes and 1 apple cheesecake for a total of $54. Ming sold 3 French silk cheesecakes and 1 apple cheesecake for a total of $29. Find the cost each of one French silk cheesecake and one apple cheesecake.
Mathematics
1 answer:
qwelly [4]3 years ago
3 0

The cost of one French silk cheesecake is $5 and one apple cheesecake is $14.

Step-by-step explanation:

Let,

Cost of one French silk cheesecake = x

Cost of one apple cheesecake = y

According to given statement;

8x+y=54     Eqn 1

3x+y=29     Eqn 2

Subtracting Eqn 2 from Eqn 1

(8x+y)-(3x+y)=54-29\\8x+y-3x-y=25\\5x=25

Dividing both sides by 5

\frac{5x}{5}=\frac{25}{5}\\x=5

Putting x=5 in Eqn 1

8(5)+y=54\\40+y=54\\y=54-40\\y=14

The cost of one French silk cheesecake is $5 and one apple cheesecake is $14.

Keywords: linear equation, subtraction

Learn more about linear equations at:

  • brainly.com/question/10250188
  • brainly.com/question/10480770

#LearnwithBrainly

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Dmitriy789 [7]

Suppose

S=50+51+52+\cdots+100+101

At the same time, we can write

S^*=101+100+99+\cdots+51+50

Note that S=S^* (just reverse the sum). Let's pair the first terms of S and S^*, and the second, and the third, and so on:

S+S^*=(50+101)+(51+100)+(52+99)+\cdots+(100+51)+(101+50)

Now, each grouped term in the sum on the right side adds to 151. There are 52 grouped terms on that same side (because there are 50 numbers in the range of integers 51-100, plus 50 and 101), which menas

S+S^*=52\cdot151

But S=S^*, as we pointed out, so

2S=52\cdot151\implies S=\dfrac{52\cdot151}2=3926

5 0
3 years ago
A motorist took 1.2 hour to travel 96 km how far will he travel in 1 hour
miskamm [114]

Answer:

80km

Step-by-step explanation:

To solve this problem, we need to cross multiply. Lets input the values (1.2, 1.0, 96) as shown below:

\frac{1.2}{96} = \frac{1.0}{x}

Next we cross multiply. We multiply 1.2 and x, and we multiply 96 and 1.0.

1.2(x) = 1.2x

96 x 1.0 = 96

Now, lets put the values above back into the equation:

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Lets solve this equation. First we divide 96 by 1.2.

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2. x = 80

This means that our answer is 80km.

4 0
3 years ago
suppose you invest 400 at an annual interest rate of 7.6% compounded continuously. How much will you have in the account after 1
dlinn [17]
A=pe^rt
A=400×e^(0.076×1.5)
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3 years ago
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Answer: I really don’t know lol

Step-by-step explanation:

8 0
3 years ago
Two number have a sum of 71 and a difference of 37
larisa86 [58]
The right answer for the question that is being asked and shown above is that:

Two numbers have a sum of 71 and a difference of 37
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So in order to get the two numbers, here it is:
x + y = 71
x - y = 37
------------
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<span>So the two numbers are 54 and 17</span>
6 0
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