Answer:
28 miles
Step-by-step explanation:
The shortest distance Jill can travel is 28 miles. She goes to the post office, back to her house, up to the city hall, to the grocery store, back to the city hall and eventually back to her house.
B) multiplication of improper fractions: 4/3 x 4/3
expressed as improper fraction: 16/3
product expressed as mixed number: 5 1/3
why: 4 x 4 = 16, keeping the denominator (3) is 16/3. 16 isn't a multiple of 3, the closest is 15, and 15 / 3 is 5, but we since we have 16, we have one left, so it'd be 5 1/3
c) multiplication of improper fractions: 7/3 x 3/2
expressed as improper fraction: 21/6
product expressed as mixed number: 3 3/6 = 3 1/2
why: 7 x 3 = 21, 2 x 3 is 6, combine it, 21/6. multiple of 6 that is closest to 21 is 18. 18 / 6 = 3. we have 3 numbers left over. (21 - 18 = 3) so it's the 3 that we get, plus the 3 that we have left, is 3 3/6
d) multiplication of improper fractions: 11/6 x 7/5
expressed as improper fraction: 77/30
product expressed as mixed number: 2 17/30
why: 11 x 7 = 77, 6 x 5 = 30, combine it, 77/30. 77 goes into 30 twice. (30 x 6 = 60, can't add another 30, because its more than 77) we have 17 numbers left over, (77 - 60 = 17) so it's 2 17/30. can't reduce 17/30 because 17 doesn't have any common factors with 30. hope i helped!
Answer:
5x - 68 = x
Step-by-step explanation:
number = x
5x - 68 = x
Solve for x:
5x - 68 = x
-68 = x - 5x
-68 = -4x
68 = 4x
x = 68/4
x = 17
Answer:
y = mx + b.
y = 7/8x - 3/2
Step-by-step explanation:
Hope this helps!! :))
Answer:
(0,3), (1,4) (2,5) and (3,6)
Step-by-step explanation:
f(x) = x + 3 is equivalent to y = 1x + 3 (y = mx + b)
b = the y intercept, when x is 0.
So y = 3, which means its (0,3)
To check:
f(x) = x + 3
f(0) = 0 +3
f(0) = 3
(0,3)
Now let's try that for all the values (1,2 and 3)
f(x) = x + 3
f(1) = 1 + 3
f(1) = 4
(1,4)
f(x) = x + 3
f(2) = 2 + 3
f(2) = 5
(2,5)
f(x) = x + 3
f(3) = 3 + 3
f(3) = 6
(3,6)
Hope that helps!