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patriot [66]
3 years ago
12

Solve5(2+4m)=-2(5-10m)

Mathematics
1 answer:
I am Lyosha [343]3 years ago
5 0
5(2+4m)=-2(5-10m)
10+20m=-10+20m
20m-20m=-10-10
m=-20
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<em>No</em>, a pentagon can NOT be a cross-section of a triangular prism.

Step-by-step explanation:

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You manage an ice cream factory that makes two flavors: Creamy Vanilla and Continental Mocha. Into each quart of Creamy Vanilla
Mars2501 [29]

Answer:

You should make 250 quarts of Creamy Vanilla and 200 of Continental Mocha to use up all the eggs and cream.

Step-by-step explanation:

This problem can be solved by a first order equation

I am going to call x the number of quarts of Creamy Vanilla and y the number of quarts of Continental Mocha.

The problem states that each quart of Creamy Vanilla uses 2 eggs and each quart of Continental Mocha uses 1 egg. There are 700 eggs in stock, so:

2x + y = 700.

The problem also states that each quart of Creamy Vanilla uses 3 cups of cream and that each quart of Continental Mocha uses 3 cups of cream. There are 1350 cups of cream in stock, so:

3x + 3y = 1350

Now we have to solve the following system of equations

1) 2x + y = 700

2) 3x + 3y = 1350

I am going to write y as function of x in 1) and replace it in 2)

y = 700 - 2x

3x + 3(700 - 2x) = 1350

3x + 2100 - 6x = 1350

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3x = 750

x = 250

You should make 250 quarts of Creamy Vanilla

Now, replace it in 1)

y = 700 - 2x

y = 700 - 2(250)

y = 700 - 500

y = 200.

You should make 200 quarts of Continental Mocha

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3 years ago
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3 years ago
The cost of 19/4 m of wire Is Rs.171/2 .The cost of one meter of the wire is ________.​
Pavel [41]

Answer:

.The cost of one meter of the wire is _<em><u>Rs18</u></em>_______.

Step-by-step explanation:

the cost of 19/4 m of wire = Rs.171/2

the cost of 1m of wire = Rs.171/2×4/19=Rs18

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