3:4 = 15:20 True or False. Explain your reasoning.

Answers

Answer 1

Answer: the question is if the two proportions are equal:
3:4
= 3(5):4(5)
that is, we just multiply both sides of the proportion by the same number and so we have:
3:4
= 3(5):4(5)
= 15:20
therefore:
3:4 = 15:20

Answer 2

Answer: 3:4 = 15:20 because 3 can go into 15 an 4 can go into 20.

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The coordinates below represent two linear equations. How many solutions does this system of equations have?

Line 1
x y
–4 5
0 2
Line 2
x y
0 5
4 2

A.
0

B.
exactly 1

C.
exactly 2

D.
infinitely many

Answers

so solve for the equations of the lines
y=mx+b
m=slope
b=y intercept

line 1=
(-4,5)
(0,2)
(x,y)
slope=(y1-y2)/(x1-x2)
x1=-4
y1=5
x2=0
y2=2
subsitute
(5-2)/(-4-0)=3/-4=-3/4
slope=-3/4
subsitute
y=-3/4x+b
subsitute one of the points
(0,2)
x=0 and y=2 is one solution
2=-3/4(0)+b
2=0+b
2=b
the equation is y=-3/4x+2

other line
(0,5)
(4,2)
x1=0
y1=5
x2=4
y2=2
sybsitute
(5-2)/(0-4)=3/-4=-3/4
slope=-3/4
subsitute
y=-3/4x+b
now subsitute one of the points to solve for b
(0,5)
x=0 and y=5 is one solution
5=-3/4(0)+b
5=0+b
5=b
y=-3/4x+5

so we have the lines/equations
y=-3/4x+2 and y=-3/4x+5
(at this point we can see that since slopes are the same and the y intercepts are different, they are paralell and therefor have 0 solutions, but for those who don't know paralellline thingie read on)

solve for common (x,y)
y=-3/4x+2
y=-3/4x+5
subsitute
-3/4x+2=y=-3/4x+5
-3/4x+2=-3/4x+5
subtract 2 from both sides
-3/4x=-3/4x+5
add 3/4x to both sides
0=5
fasle
there are no solutions

the answer is A: 0 solutions

Answer:

i just want the point because i dont have any go sit on a

Step-by-step explanation:

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Adrian jogs 3/4 miles each morning. How many days will it take him to jog 3 miles?

Answers

It will take him 4 days to jog three miles.

The height (h metres) and age (a years) of a tree are related by the following inequality:
h < 4a – 3 for values of a between 1 and 10
Which pair of values satisfy this inequality?
a. h = 2 and a = 1
b. h = 6 and a = 2
c. h = 10 and a = 3
d. h = 20 and a = 6

Answers

h < 4a – 3
(2) < 4(1) - 3
2 < 4 - 3
2 < 1
Not True

h < 4a – 3
(6) < 4(2) - 3
6 < 8 - 3
6 < 5
Not True

h < 4a – 3
(10) < 4(3) - 3
10 < 12 - 3
10 < 9
Not True

h < 4a – 3
(20) < 4(6) - 3
20 < 24 - 3
20 < 21
True

Answer: (d) h = 20 and a = 6

How do you divide. Please help I can't remember.

Answers

Ask you r self how many times does this go into your answer then subtract the sum and bring down numbers if necessary

Just see how much the number that your dividing by can go into the number you are dividing into and you have your answer!

Describe a real life multiplication situation for which an estimate makes sense

Answers

Let's say we're at the store and you want to buy 10 boxes of cookies for a party. Each box of cookies cost 4.89(counting tax), you don't know if you have enough money to buy the cookies with the $65.00 you have with you. You could round the price up to $5.00 and do more simple multiplication. Your total would estimate about $50.00. Now you know you have more than enough money to buy cookies. I hope that makes sense. :)

Kayla had 3/4 of her book left to read on Sunday night. She read 1/6 of the book Monday afternoon and 1/4 of the book Monday evening. What fraction of the book did she still have left to read after Monday evening? Please explain alsoA) 1/5 of the book

B) 2/9 of the book

C)1/4 of the book

D) 3/10 of the book

Answers

D) I am pretty sure is the answer but am really tired

You would add 1/6 plus 1/4 equals 5/12. Then 3/4 minus 5/12 equals 4/12. If you simplifie it you get 1/3. Your answer is 4/12 or 1/3

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