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3 years ago

The sum of two consecutive integers is no more than 209. What is the larger of the two integers?

Mathematics

1 answer:

Cloud [144]3 years ago

4 0

Answer:

105 is your answer

Step-by-step explanation:

Let the two consecutive integers be: x , x + 1

Set the equation

x + x + 1 = 209

Simplify. Combine like terms.

(x + x) + 1 = 209

2x + 1 = 209

Isolate the x. Note the equal sign, what you do to one side, you do to the other.

Subtract 1 from both sides

2x + 1 (-1) = 209 (-1)

2x = 209 - 1

2x = 208

Isolate the x. Divide 2 from both sides

(2x)/2 = (208)/2

x = 208/2

x = 104

------------------------------------------------------------------------------------------------------

Plug in 104 for x.

(x + 1) = (104) + 1 = 105

105 is your answer

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A small refrigerator is a cube with a side length of 16 inches. Use the formula S = 6s2 to find the surface area of the cube.

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6*16^2=1536 in
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Find the value of each variable in the parallelogram

melomori [17]

Alright.

For 7, you'll want to put congruent sides equal to each other, assuming they are parallelograms. So, you'll get the two equations:

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Solve using GEMDAS/PEMDAS, and you'll get these answers.

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130=2h

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h=65

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Hope that helped. Good luck.

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3 years ago

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PLEASE HELP ITS DUE TODAY!!

Lena [83]

Answer:

a) 5 pizzas need to be ordered and half of a pizza will be left over aka 0.5

b) $45

Step-by-step explanation:

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3 years ago

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43/645= I need the to show the work

Licemer1 [7]

I'm guessing you need 43/645 simplified:

First, we need to find the greatest common factor (GCF) of the numerator (43) and the denominator (645). To do so, we list all the factors of each number and find the common ones.

Factors of 43: 1, 43
Factors of 645: 1, 3, 5, 15, 43, 129, 215, 645

Out of the listed factors for each number, which numbers are common between the two? The common factors are 1 and 43. Since we are looking for the GREATEST common factor, which number out of 1 and 43 is the greatest? The GCF is 43.

Second, we can now divide the numerator (43) and the denominator (645) by the GCF we recently found which was 43.

$43 \div 43 = 1 \\ 645 \div 43 = 15$

Third, our new simplified fraction is 1/15. We collected our new numerator and denominator.

Answer in fraction form: $\fbox {1/15}$
Answer in decimal form: $\fbox {0.0667}$

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3 years ago

Anne,Ryan and Joel collect empty cans for recycling. They collect a total of 1,925 cans. Anne collects half as many cans as Ryan

elixir [45]

A + R + J = 1925
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J = 2R

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J = 2(550)
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