Answer:
100 miles
Step-by-step explanation:
Given :
To work :
speed = 50mph
Let time taken = x
From work :
speed = 40mph
30 minutes = 30/60 = 0.5
Time taken = x + 0.5
Distance from home to work :
Distance = speed * time
To work distance = from work distance
This can be algebraically expressed as :
50 * x = 40(x + 0.5)
50x = 40x + 20
50x - 40x = 20
10x = 20
x = 20/10
x = 2
Hence,
Distance = 50 * 2 = 100
The the distance from home to work = 100 miles
Answer: 33
Step-by-step explanation:
We know that Jacob is 5 and 1/2 tall. He caused a 8 foot shadow, and we know that the flagpole causes a 48 foot shadow. 48/8 equal 6, meaning we need to multiply his height by that. 5 1/2 time 6 is 33
-1 1/8 because -9/8 is equal to so just make it a improper fraction, pretend the negative is not there then add the negative at the end
-hope this helps :D
Answer: D) 52%
Step-by-step explanation:
G = gymnastics
B = baseball
S = soccer
G = 28%
BA = 29%
S = 19%
G and BA = 14%
BA and S = 12%
G and S = 10%
GBS = 8%
So, as we can see at the Venn diagram attached (consider every number in %)
GBS = 8
A = G and S - GBS = 10 - 8 = 2
B = G and BA - GBS = 14 - 8 = 6
C = BA and S - GBS = 12 - 8 = 4
Only G = G - A - B - GBS = 28 - 2 - 6 - 8 = 12
Only BA = BA - B - C - GBS = 29 - 6 - 4 - 8 = 11
Only S = S - A - C - GBS = 19 - 2 - 4 - 8 = 5
So, 2+6+4+12+11+5+8 = 48
100 - 48 = 52%
Answer:
x = 135
Step-by-step explanation:
All the angles of a pentagon added up make 540 degrees.
540 - 60 = 480
480 - 150 = 330
330 - 120 = 210
210 - 75 = 135
x = 135