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UNO [17]
3 years ago
14

Two consecutive integers have a sum of 75. Find the integers.

Mathematics
1 answer:
Pie3 years ago
7 0

Answer:

37 and 38

Step-by-step explanation:

let the consecutive integers be x-1 and x

If their sum is 75

x-1+x = 75

2x - 1 = 75

2x = 75+1

2x = 76

x = 76/2

x = 38

First integer = x - 1

First integer = 38-1 = 37

Second integer is 38

Hence the integers are 37 and 38

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lapo4ka [179]

<em>Answer:</em>

<em>x = (k + c)/4</em>

<em>Step-by-step explanation:</em>

<em>4x - c = k</em>

<em>4x = k + c</em>

<em>x = (k + c)/4</em>

7 0
3 years ago
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Write the correct proportion.<br><br> 5 is to 19 as x is to 250
Alja [10]

This problem is basically asking:

\frac{5}{19} =\frac{x}{250}

Which would mean x=\frac{5*250}{19}=\frac{1250}{19}

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Does a=2.1 b=7.2 c=7.5 form a right triangle
Anna007 [38]

Answer:

Yes

Step-by-step explanation:

If the longest side squared is equal to the sum of the squares on the other 2 sides then they form a right triangle

longest side = 7.5

7.5² = 56.25

2.1² + 7.2² = 4.41 + 51.84 = 56.25

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6 0
3 years ago
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Caleb is making lemonade and cookies for the school bake sale. He has 10 cups of
Goryan [66]

Answer:

He can make only one batch of cookies.

Step-by-step explanation:

Just by mental math you can say he can make maximum one batch of cookies.

Total sugar = 10 cups

sugar used for lemonade = 2 cups

leftover sugar = 8 cups

For 1 batch of cookie sugar needed = 11/2

which means 5 and 1/2 cups

And he's just left with 8 cups of sugar after lemonade

8 - 5 1/2 = 2 1/2 which is not enough for 2nd batch

That means the maximum number of cookies batches is 1.

Another way to solve it by inequality:

2+Il/2 X <u><</u> 10

11/2 X <u><</u> 8

11X <u><</u> 16

X <u><</u> 1 6/11

So he can make only one batch of cookies.

3 0
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What is the solution of the system of equations? y = –4x + 10 y = –2x – 6
Elan Coil [88]
D. (8, -22) is the correct answer
4 0
3 years ago
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