74-17= 57 because if you subtract 10 from 74, it would be 64, then you need to subtract 7 from 64, which gives you 57.
9+7=16 because 10+7 would be 17, but since 9 is one less than 10, you need to subtract one from 17, which gives you 16.
17+(-30)=(-13) because adding 17 to -30 only brings up -30 to -13, and -30<-13.
-41+24=-17. Same reason as question 3, only different numbers.
-36+(-7)=-43 because adding two negatives together is like subtracting two positives from each other.
14+64=78 because adding 10 to 64 is 74 and 74+4=78.
-53-42=-95 because when you subtract a positive from a negative, it decreases the number even more.
-17-(-62)=45 because -62 is less than -17 and it is being subtracted from -17 so the answer becomes positive.
Hope this helps :)
Answer:
Im guessing its B. Im sorry of this didnt help.
Step-by-step explanation:
Answer:
1 hotdog cost $2.25
1 popcorn cost $3.5
Step-by-step explanation:
Let the price of hotdog be and that of popcorn be p
For the first hour;
15p + 14h = 84 •••• (i)
for the second hour;
18p + 16h = 99 •••••(ii)
so we want to solve these two equations simultaneously
In equation 1,
14h = 84-15p
h = (84-15p)/14
Simply insert this into equation ii
18p + 16(84-15p)/14 = 99
Multiply through by 14
252p + 1344 - 240p = 1386
1386-1344 = 252p-240p
12p = 42
p = 42/12
p = $3.5
to get cost of hotdogs;
h = (84-15p)/14
Substitute p = 3.5
h = (84-52.5)/14
h = 31.5/14
h = 2.25
Perpendicular
Hope this helps!
Answer:
A, D , and E
Step-by-step explanation:
We have that:


is the image of CD after a dilation of scale factor n.
We use the relation between the image length and object length:

Option A
If n=3/2, then

This is true.
Option B
If n=4, then

This is false.
Option C
If n=8, then

This too is false.
Option D
If n=2, then

This is true
Option E
If n=3/4, then


This is also true.