Answer:
Daniel must tutor 160 hours
Explanation:
310+275+70= 655
655×6= 3930 (he needs this amount of $)
(Daniel gains $20 per hour)
20×160= 3200
3200+745= 3945
3945 > 3930
Daniel has enough for the trip.
Where did I get 160?
Well, I was just trying out numbers and multiplying it by 20
The numbers I tried: 100, 150, 156, 159 & 160 but only 160 fit with the answer.
If it was just one night road trip he would've just needed $655, but since it's a 6-night road trip I multiplied it by 6.
Hope this helped!
By using y=mx+b you get y=-3/8x-17/8
Answer:
5 adults
Step-by-step explanation:
So 4 adults are taken for 32 children. We can use 32 divided by 4 to see how many children it takes to assign an adult. the answer to this would be 8. if 8 more children are added ( which would make 32+8 which is 40) than another adult would be needed.
4.5/3 = x/5
then:
x = 5 * 4.5 / 3 = 15/2 = 7.5
hope that helps
Answer:
Base=8 feet
Height=17 feet
Step-by-step explanation:
Let
Base=x
Height=3x-7
Area=68 square feet
Area of the sail boat=1/2 * base * height
68 = 1/2 * x * (3x-7)
Cross product
68 * 2 =(1) * (x) * (3x-7)
136 = 3x^2 - 7x
3x^2 - 7x - 136=0
Using quadratic formula
x= -b +or- √b^2 - 4ac / 2a
= -(-7) +or- √(-7)^2 - (4)(3)(-136) / 2(3)
= 7 +or- √49 - (-1632) / 6
= 7 +or- √49+1632) / 6
= 7 +or- √1681 / 6
=7 +or- 41 /6
x= 7+41 / 6 or 7-41 / 6
=48/6 or -34/6
=8 or -17/3
Answer:
Step-by-step explanation:
Let
Base=x
Height=3x-7
Area=68 square feet
Area of the sail boat=1/2 * base * height
68 = 1/2 * x * (3x-7)
Cross product
68 * 2 =(1) * (x) * (3x-7)
136 = 3x^2 - 7x
3x^2 - 7x - 136=0
Base of the boat can't be a negative value
Therefore,
Base = x = 8 feet
Height= 3x-7
=3(8)-7
=24-7
=17 feet
