Answer:
3+4i
Step-by-step explanation:
let x be the answer
(3-4i)x=25
x=25/(3-4i)
multiply by the conjugate
x=(25(3+4i))/25
x=3+4i
The truck can cover 145 miles in 2.5 hours, so the speed of the truck is
145÷2.5=58 miles per hour
the car's speed is 1.5 times faster: 58×1.5=87 miles per hour
suppose in x hours they will meet:
distance covered by truck in x hour: 58x
distance covered by car in x hour: 87x
total distance: 145 miles
58x+87x=145
x=1
Well 1/4 is 0.25
1/4 = 0.25 x 22 = 5.5
So it might be 5.5 pounds of green beans
Answer:
A= 1
Step-by-step explanation:
Distribute
3
(
− 6
) = −
5
− 1 ( 7 + 3
)
3a - 18 = -5a - 1 ( 7 + 3a )
Rearrange terms
3
− 1
8 = −
5
−
1 ( 3
+ 7 )
3a - 18 = -5a - 3a - 7
Combine like terms
3
− 1
8 =
−5
− 3
− 7
3a - 18 = -8a - 7
Add 1
8 to both sides of the equation
3a - 18 = -8a - 7
3
− 1
8 + 1
8 = −
8
− 7 + 1
8
Simplify
<u>Add the numbers</u>
3
− 1
8 + 1
8 = −
8
− 7 + 1
8
3a = -8a - 7 + 18
<u>Add the numbers again
</u>
3
= −
8
−
7 + 1
8
3a = -8a + 11
Add 8
to both sides of the equation
3a = -8a + 11
3
+ 8
= −
8
+ 1
1 + 8
Simplify
<u>Combine like terms</u>
3
+ 8
= −
8
+ 1
1 + 8
1
1
= −
8
+ 1
1 + 8
<u>Combine like terms again</u>
1
1
= −
8
+ 1
1 + 8
11a = 11
Divide both sides of the equation by the same term
11a = 11
1
1
/
1
1 = 1
1 / 1
1
Simplify
<u>Cancel terms that are in both the numerator and denominator</u>
1
1
/
1
1 = 1
1 / 1
1
a = 11/11
<u>Divide the numbers</u>
a = 11/11
a = 1
<u />
Let g and b represent the numbers of grandstand and bleacher tickets sold.
.. g + b = 5716 . . . . . . . . . total number of tickets sold
.. 65g +40b = 341690 . . value of tickets sold
Using the first equation
.. g = 5716 -b
Sustituting into the second equation
.. 65(5716 -b) +40b = 341690
.. -25b + 371540 = 341690 . . . . . collect terms
.. -25b = -29850 . . . . . . . . . . . . . . subtract 371540
.. b = 1194 . . . . . . . . . . . . . . . . . . . . divide by -25
1194 bleacher tickets were sold.