How Long will it take.....(algebra 2 help)?

Question

Question 11:
How long will it take to drive 240 miles if your average speed is 64 mph?

Express as a decimal rounded to the hundredths place.
hours

Question 12:
A plane flies from Atlanta, GA to Portland, a 2,165-mi trip, in 6 and a half hours. What is the plane's rate, rounded to the nearest whole number?

mph

Question 13:
A car travels from Atlanta to Portland a 2,164.5 mile trip, in 37 hours. What is the car's average speed, rounded to the nearest tenth?

mph

Question 14:
Use the formula F = (9/5)(C) + 32. If it is 68 degrees Fahrenheit outside, what is the temperature in Celsius?

degrees Celsius

Question 15:
A jogger and a bicycle rider leave the same location at the same time and travel on the same road. The jogger runs at a constant speed of 13 km per hour. At the end of three hours the bicycle rider is 36 km ahead of the jogger. Find the speed of the bicycle rider. Use a chart to help you organize the information.

kph
Question 16:
Albert invests $4000 for two years. He invests part in a bond paying 12 percent and the rest in a stock paying 15 percent. If the total interest received is $1068, how much was invested in a bond? Use a chart to help you organize the information.





$
Question 17:
For Question #16, how much was invested in a stock?

$

Question 18:
A plane flies from St. Louis, MO to Tallahassee, FL at 300 mph. A car drives the same distance, leaves at the same time and drives an average speed of 60 mph. The car arrives in Tallahassee 8.8 hours later than the plane. How far is it from St. Louis to Tallahassee? Use a chart to help you organize the information.





miles
Question 19:
John has a credit card from Bagel Bank and another from Arctic Bank. He has a total of $1,190 charged on his credit cards. Bagel Bank charges 15% simple interest per year and Arctic Bank charges 16% per year. The yearly interest charge John needs to pay is $183.90. How much money does John owe Bagel Bank before interest charges?





$
Question 20:
A cop was hidden behind a tree and clocked a Ford going by at forty-eight kph. 1/2 of an hour later, the cop clocked a Honda passing by at sixty-three kph. If the two cars continue at the same speed, how far will the Honda travel before it catchs up to the Ford?





Express as a decimal rounded to the tenths place.
km

Answer 1

Here is the detailed answer, hope they are useful :-)


Question 11:

t = d / s = 240 / 64 = 3.75 h

Question 12:

s = d / t = 2165 / 6.5 = 333.0769 = 333 m/h

Question 13:

s = d / t = 2164.5 / 37 = 58.5 m/h

Question 14:

F = (9 / 5)(C) + 32 (F = 68

68 = (9 / 5)(C) +32

68 - 32 = (9 / 5)(C)

36 = (9 / 5)(C)

C = 36 (5 / 9) = 20 degrees celsius

Question 15:

The given info are:
Sj = 13 Km/h, t = 3 h, Db = Dj + 36

First we calculate the distance covered by the jogger:
Dj = Sj X t = 13 X 3 = 39 Km

Then the distance covered by the cyclist is deduced:
Db = Dj + 36 = 39 + 36 = 75 Km

Therefore:
Sb = Db / t = 75 / 3 = 25 Km/h

Question 16:

The given info are:
Ib (interest of bond) = 12/100, Is = 15/100, Pt (total profit) = 1068,
Ct (total capital) = 4000, Cs + Cb = 4000, Ti (investment time) =
2 y

Cs + Cb = 4000
Cs = 4000 - Cb (1)

Ti [(Ib X Cb) + (Is X Cs)] = Pt
2 X [(12/100 X Cb) + (15/100 X Cs)] = 1068 (/2
(12/100 X Cb) + (15/100 X Cs) = 534 (from (1)
(12/100 X Cb) + [15/100 X (4000 - Cb)] = 534
(12/100 X Cb) + 600 - (15/100 X Cb) = 534
-3/100 X Cb = -60
Cb = -60 X -100/3 = 2000

Question 17:

From (1) in previous answer:
Cs = 4000 - Cb = 4000 - 2000 = 2000

Question 18:

The given info are:
Sp = 300 m/h, Sc = 60 m/h, Tc = Tp + 8.8

From the equation of linear motion:
D = ST

D = Sp X Tp = Sc X Tc (Tc = Tp + 8.8
Sp X Tp = Sc X (Tp + 8.8)
300 X Tp = (60 X Tp) + 528
(300 X Tp) - (60 X Tp) = 528
240 X Tp = 528
Tp = 528 / 240 = 2.2 h
D = Sp X Tp = 300 X 2.2 = 660 m

Question 19:

The given info are:
Ct (total credit) = 1190 $, Ib (interest rate of Bagel) = 15/100, Ia = 16/100, It (total interest) = 183.9 $

Cb + Ca = Ct
Ca = Ct - Cb = 1190 - Cb (1)

(Ib X Cb) + (Ia X Ca) = 183.9
(Ib X Cb) + [Ia X (1190 - Cb)] = 183.9
(15/100 X Cb) + [(16/100 X 1190) - (16/100 X Cb)] = 183.9
(15/100 X Cb) + 190.4 - (16/100 X Cb) = 183.9
-1/100 X Cb = -6.5
Cb = -6.5 * -100 = 650 $

Question 20:

The givedn info are:
Sh (speed of Honda) = 63 Km/h, Sf = 48 Km/h, Tf (time available to Ford to travel before meeting) = Th + 0.5

Let the distance from radar point to meeting point is D.
D = Sh X Th = Sf X Tf (Tf = Th + 0.5
Sh X Th = Sf X (Th + 0.5)
Sh X Th = (Sf X Th) + (0.5 X Sf)
(Sh X Th) - (Sf X Th) = 0.5 X Sf
Th (Sh - Sf) = 0.5 X Sf
Th = (0.5 X Sf) / (Sh - Sf) = (0.5 X 48) / (63 - 48) = 1.6 h
D = Sh X Th = 63 X 1.6 = 100.8 Km


Eventhough I'm now a dental student, I never failed to be a great physics fan!

Answer 2

to solve the distance ,speed and time questions you use this, is that, u draw a pyramid,with the distance on top,while time and distance on the bottom. will be >> D,T,S.....eg,when you need to find the speed,you use D to divide T.........if you want to find distance means you use T times S(time x speed).....for question 11,the answer is 3 h 45 min.and the so on questions about finding D,T,S,using this method,you can solve them. Hope this can help you out.

Answer 3

Now, ought to it fairly have been Paul’s want that truthful Christians be little in touch with reference to the presence of their Lord and the day of Jehovah? Or did he no longer, quite, desire them to maintain psychological stability interior the difficulty, to ‘shop their senses’ by making “particular of all issues”? to that end, neither might they be thrown out of equilibrium by unfounded messages approximately Jehovah’s day being to hand nor might they be unprepared, careless and callous related to it.—a million Thessalonians 5:8, 21; evaluate 2 Peter 3:3, 10-12 and a million John 4:a million. here we ought to consistently bear in mind that those Thessalonians have been completely conscious that Jehovah’s day grow to be “coming precisely as a thief interior the night.” a ways from being a reason in the back of nonchalance, this meant that they ought to “stay conscious,” as persons assigned “to no longer wrath, yet to the procuring of salvation.” After the apostasy had put in its finished visual attraction, the day of Jehovah might come. this may well be at a time whilst those in opposition to Jehovah’s Kingdom—consisting of little question the “guy of lawlessness”—may well be asserting: “Peace and protection!” that must be the sign for his or her on the spot, surprising destruction. (a million Thessalonians 5:a million-11) In that day of execution of righteous judgment, happy would be those ‘understanding God and obeying the solid information with reference to the Lord Jesus’!—2 Thessalonians a million:8.in case you desire greater e mail me, with an e mail