3 years ago

Find all integer solutions to 14x + 77y = 69.

Mathematics

1 answer:

Katena32 [7]3 years ago

8 0

Integer solutions doesn't exist.

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Mark got 18 out of 25 questions correct on his math test. What percent of the questions did he get correct?

MrRa [10]

To calculate this it is necessary to change ‘ 18 out of 25’ into ‘? out of 100’

So, 18/25 = ?/100

18/25x100 = 72

Mark got 72% on his math test.

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3 years ago

How do you solve for 3/7=y/8

JulsSmile [24]

You can multiply opposite sides, like so:

y*7 = 8*3
7y = 24
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3 years ago

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Questions 4,5,and6<br> Just tell me the strategy

Verdich [7]

Six is A there is your answer

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3 years ago

Find the inverse for 43 modulo 660

Tatiana [17]

We're looking for $x$ such that

$43x\equiv1\mod{660}$

so for some integer $n$ we can write

$43x+660n=1$

Apply Euclid's algorithm:

$660=43(15)+15$
$43=15(2)+13$
$15=13(1)+2$
$13=2(6)+1$
$\implies(660,43)=(43,15)=(15,13)=(13,2)=1$

From this we have

$1=13-2(6)$
$\implies1=-6(15)+7(13)$
$\implies1=-20(15)+7(43)$
$\implies1=-20(660)+307(43)$
$\implies(-20(660)+307(43))\equiv307(43)\equiv1\mod{660}$

which means 307 is the inverse of 43 modulo 660.

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4 years ago

The rectangular room is 10.25 inches by 8 inches. if 1 inch represents 2 feet of the actual room, what is the scale factor and a

GenaCL600 [577]

The rectangular room is 10.25 inches by 8 inches. If 1 inch represents 2 feet of the actual room. What is the scale factor and actual area of the room?

10.25 x 2 = 20.5 ft

and

8 x 2 = 16 ft

1in/ 2 ft or 1 in/ 24 inches

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4 years ago