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4 years ago

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fred thinks of a number that is greater than 110 and less than 120. he can make his number with same number of hundreds,tens and

ones. what is freds number?

1 answer:

VashaNatasha [74]4 years ago

8 0

The number Fred thinks of is 111

<em><u>Solution:</u></em>

Given that, Fred thinks of a number that is greater than 110 and less than 120

He can make his number with same number of hundreds,tens and ones

<em><u>To find: Fred's number</u></em>

Given that the number is greater than 110 and less than 120

The possible numbers are:

111 , 112, 113, 114, 115, 116, 117, 118, 119

But he can make his number with same number of hundreds,tens and ones

So the numbers in ones, tens and hundreds place are same

So the only possible number is 111

Thus the number Fred thinks of is 111

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1. What is the value of the y variable in the solution to the following system of equations?

ollegr [7]

Part 1)

we have

$3x-6y=3$ ------> equation A

$7x-5y=-11$ ------> equation B

Multiply by $-7$ the equation A

$-7(3x-6y)=-7*3$

$-21x+42y=-21$ ------> equation C

Multiply by $3$ the equation B

$3*(7x-5y)=-11*3$

$21x-15y=-33$ -------> equation D

Adds equation C and equation D

$-21x+42y=-21 \\21x-15y=-33\\---------- \\ 42y-15y=-21-33\\27y=-54 \\ y=-2$

therefore

<u>the answer Part 1) is the option A </u>

$y=-2$

Part 2)

we have

$3x+y=6$

$y=-3x+6$ ------> equation A

$6x+2y=8$

Simplify Divide by $2$ both sides

$3x+y=4$

$y=-3x+4$ ------> equation B

the lines A and B are parallel lines, because the slope m is equal

so

The system has no solution

therefore

<u>the answer Part 2) is the option D</u>

There is no x value as there is no solution to the system.

Part 3)

we have

$4x+2y=6$ ------> equation A

$x-y=3$

$y=x-3$ ------> equation B

substitute equation B in equation A

$4x+2[x-3]=6$

$6x-6=6$

$6x=12$

$x=2$

therefore

<u>the answer part 3) is the option D</u>

$x=2$

Part 4)

Let

x---------> The number of one-step equations

y---------> The number of two-step equations

we know that

$x+y=1,120$

$x=1,120-y$ -------> equation A

$3x-2y=1,300$ ------> equation B

substitute equation A in equation B

$3[1,120-y]-2y=1,300$

$3,360-5y=1,300$

$5y=3,360-1,300$

$5y=2,060$

$y=412$

therefore

<u>the answer part 4) is the option D</u>

$y=412$

8 0

3 years ago

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A college has a financial aid formula that applies to applicants whose family's income is below a certain threshold. The financi

DochEvi [55]

Answer:

1.) 10000, -3, 1000 ; doesn't make sense

2.) 40000, 3, 40000 makes sense

3.) 32500, 1.5, 32500 makes sense

4.) [0,+ ∞ ]

Step-by-step explanation:

1.) r(-3) = 2500 - 3*5000=10000

2.) f(3) = 25000 + 3*5000 = 40000

3.) f(1.5) = 25000 +1.5*5000= 325000

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3 years ago

PtichkaEL [24]

Answer:

a) y=2x+4 b) 2 c) 6 d) Sorry, you'll have to do that buy it's not too difficult! ^u^

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

1a) Well, if you add the y to both sides, you would get y=2x+4

1b) Since the main form is y=mx+b with m being the slope, the slope in y=2x+4 must be 2

1c) 6, because if x is 1, 2(1)+4=6

1d) I'm afraid you'll have to do that, just substitute in different numbers for x

(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥

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