Answer:
8 1/3
Step-by-step explanation:
Multiply 1 × 5 and 2/3 × 5
1 × 5 = 5
2/3 × 5 = 3 
Then, add.
5 + 3 = 8
So, the answer is 8
Have a great day!
Answer:
x = 7°
<GDH = 112°
<FDH = 192°
<FDE = 135°
Step-by-step explanation:
If DE bisects <GDH this means that <GDE = <EDH
Given <GDE = (8x+1)° and <EDH = (6x+15)° then;
8x+1 = 6x+15
8x-6x = 15-1
2x = 14
x = 7°
Since <GDH = <GDE + <EDH
<GDH = 8x-1+6x+15
<GDH = 14x+14
<GDH = 14(7)+14
<GDH = 98+14
<GDH = 112°
For <FDH,
Note that sum of angle on a straight line is 180°
<FDH = <FDG + <GDE + <EDH
<FDH = <FDG + <GDH
<FDG = 180-(43+8x+1)
<FDG = 180-44-8x = 136-8x
<FDH = 136-8x+112
<FDH = 248-8x
<FDH = 248-8(7)
<FDH = 248-56
<FDH = 192°
For <FDE;
<FDE = <FDG + <GDE
<FDE = 136-8x+8x-1
<FDE = 135°
Paul's paint : 576 / 24 = $ 24 per gallon
Stella's paint : 1664 / 64 = $ 26 per gallon
store that sells for the least amount is : Paul
with the difference in price being : $ 2
Answer:
28mph
Step-by-step explanation:
Let the speed at which Pat drives be xmph.
Now, we know John travels 32mph faster than Pat. Hence, John's speed is (x + 32)mph
The total distance is 440 miles.
Distance = Speed × Time
The distance traveled by each of them after 5 hours is given as follws;
Pat = 5 × x = 5x miles
John = 5(x + 32) miles
Now, if we add both distances, we get the total of 440 miles.
Hence, 5x + 5(x + 32) = 440
5x + 5x + 160 = 440
10x + 160 = 440
10x = 440 - 160 = 280
10x = 280
Hence, x = 280/10 = 28mph
