Question

i need some answers checked

Answer 1

@Hero

Answer 2

Correct.

Answer 3

@563blackghost

Answer 4

correct

Answer 5

@563blackghost

Answer 6

Incorrect.

The lines are actually parallel to each other. Remember that like terms stay with each other, if you were to follow by converting it to slope intercept form when you move `8a` to the other side the total would be left alone, this means the total becomes the y-intercept.

Answer 7

@563blackghost

Answer 8

Incorrect. If you plug the two lines you will find that they both contain the same type of slope and y-intercept. For parallel lines there is never a solution because they never meet, in this case they meet at every point, so they are not parallel.

Answer 9

@563blackghost

Answer 10

hm, not quite

the slope of the original line is 1/2 right?

to find the slope of a perpendicular line, swap the numerator and the denominator, then multiply the slope by -1 to get the new slope

Answer 11

@Mercury welcome back

Answer 12

close but not quite

it says if Jamal sells 4 boxes he makes $65 dollars

which means you need to find the function that has
the slope of 5
and gives you 65 when you plug in x = 4

Answer 13

A

Answer 14

good, A = your sol'n

Answer 15

hm, not quite

you flipped the fraction correctly but "opposite" also implies you need to multiply by -1

Answer 16

3/4

flip the fraction

4/3

multiply by -1

-4/3 = your sol'n

Answer 17

good

Answer 18

hm not quite

the original slope is -3

what's the opposite reciprocal of -3? recall the operations done in the other problem

Answer 19

+3?

Answer 20

remember that you can re-write a whole # as a fraction

-3 = -3/1

flip the numerator and denominator

then multiply by -1

Answer 21

0.3

Answer 22

let's leave it in fractional form because all the answer choices are fractions

so you get a slope of 1/3 which can only be the last option

Answer 23

good

Answer 24

hm, not quite

the line x = -3 is a vertical line, right?

so the perpendicular line must be horizontal

what would be the equation of a horizontal line that goes through (0,-4)? remember that a horizontal line has slope 0

Answer 25

C?

Answer 26

good, C is correct

Answer 27

hm, I don't think that's true

a solution to a system of equations is a finite point

inequality would imply there is a whole range of x/y values that could satisfy the equations

Answer 28

you can determine what the # of marbles and jacks are if you set up a system of equations

let's break it down step by step

Answer 29

let m = price of marbles
let j = price of jacks

"William buys 10 marbles and 12 jacks for $1.60"

if we set up an equation that tells us how much he bought, we would set up something like

number of marbles*(price of marbles) + number of jacks*(price of jacks) = total amount he paid

can you try plugging in the information from the problem into this statement to get a mathematical equation?

Answer 30

uh, i might need a bit of help

Answer 31

number of marbles*(price of marbles) + number of jacks*(price of jacks) = total amount he paid

we know he bought 10 marbles and 12 jacks, right? can you try plugging in 10 and 12 where they belong in the equation?

Answer 32

"10 marbles" so number of marbles = 10
"12 jacks" so number of jacks = 12

copy this equation

number of marbles*(price of marbles) + number of jacks*(price of jacks) = total amount he paid

but plug in 10 and 12 where the belong

Answer 33

*where they belong

Answer 34

so just 10 + 12 =1.60?

Answer 35

notice how the equation includes the prices, we can't just erase those

so our equation is now

10*(price of marbles) + 12*(price of jacks) = 1.60

now, let's review what we said at the beginning:

price of marbles = m
price of jacks = j

substitute these into the equation where they belong

Answer 36

C.

Answer 37

each marble is 10 cents, 10x10=100, or 1.00

Answer 38

and each jack is 5 cents, 5x12 is 60

Answer 39

I mean

that's one way to find the solution I guess

Answer 40

careful

if we set the two angles equal to each other

3x + 8 = 3x + 10

this is impossible to be true (subtracting 3x from both sides gives us 8 = 10 which is false)

so lines m and n are not parallel for any y (D)

Answer 41

hm

not quite

try drawing a perpendicular line from point P to the dashed line (the highway) and calculating the distance of that new line

Answer 42

my only other option i think is A, but i might be doing this wrong

Answer 43

notice how you have a right triangle here with legs 4 each

so hypotenuse = sqrt(4^2 + 4^2) = sqrt(32) = 4sqrt(2)

so option A is indeed correct

Answer 44

good

Answer 45

good

Answer 46

good

Answer 47

"linear equations"

a system of equations where they're all linear (lines) using the same variables

the original statement is true

Answer 48

not quite, remember it's looking for the sentence that is false

sentence 1 is true (definition of inconsistent)

Answer 49

any other ideas?

Answer 50

C?

Answer 51

C is true

let's look at statement B again

"consistent independent is shown by two parallel lines" this is false, consistent independent = two non-parallel lines

so statement B is the correct solution

Answer 52

good

Answer 53

hm, not quite (that would be transitive)

can you see which statement is best described by this rule?

Answer 54

either a or d i think

Answer 55

notice how only A makes a statement with an equals sign rather than an inequality

a = b + c

y = 3x + 10

so A is the better choice

Answer 56

good

Answer 57

A doesn't work (14 + 14 is less than 31)

Answer 58

have you tried the other choices yet? how about B?

Answer 59

B was my second choice, actually

Answer 60

good, B is correct

Answer 61

good

Answer 62

B is a valid triangle (1/4 + 1/3 > 1/2, etc.)

try checking the other choices

Answer 63

c?

Answer 64

look at choice A again

notice how 5 + 1.5 is less than 7

that means A is not a valid triangle and thus the correct solution.

Answer 65

remember this rule:

the smallest angle is across the shortest side
the largest angle is across from the largest side

Answer 66

try to apply this logic to find the longest side and the shortest side

Answer 67

oh, i've read it wrong, A

Answer 68

VT is the shortest side since it is across the smallest angle

therefore it's B not A.

Answer 69

sum of two sides has to be ~greater~ than the remaining side

therefore the values 8 and 20 are not included

so A is the better choice

Answer 70

good

Answer 71

is there anything else to go with this question?

Answer 72

not really..

Answer 73

alright, then comparison is the best choice

Answer 74

hm not quite

what mathematical operation did they do to get from y to y + 4?

Answer 75

addition?

Answer 76

good

so its addition property of inequality

Answer 77

alright i'm going to bed it's like 2:30 in the morning

Answer 78

oh, alrighty then.