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Nataly_w [17]
2 years ago
6

Mr. and Mrs. Rivers left their house at 10:00 a.m. driving in opposite directions. Mr. Rivers drove at an average speed of 48 mp

h and Mrs. Rivers drove at an average speed of 36 mph. At what time will Mr. Rivers be 24 miles farther from home than Mrs. Rivers?
Mathematics
2 answers:
gavmur [86]2 years ago
6 0

Answer:

12 p.m

Step-by-step explanation:

lisabon 2012 [21]2 years ago
4 0

Answer:

Step-by-step explanation:

let after t hrs they are 24 miles apart.

48t+36t=24

84t=24

t=24/84=2/7 hrs

=2/7×60=120/7 minutes =17+1/7

=17minutes +1/7×60sec

=17 minutes +60/7 sec

=17 min 8 4/7 sec

10.00+00.17 =10.27

Time≈10.27 a.m.

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Bob has two weekend jobs last weekend he made a total of $77 after working as a cashier for 5 hours and delivering newspapers fo
OlgaM077 [116]

Answer: $9 per hour at his job as a cashier and $8 per hour at his job delivering newspapers.

Step-by-step explanation:

1. Let's call the amount he got paid per hour at his job as a cashier: x.

Let's call the amount he got paid per hour at his job delivering newspapers: y.

2. Keeping on mind the information given in the problem above, you can make the following system of equations:

\left \{ {{5x+4y=77 \atop {6x+3y=78}} \right.

3. You can solve it by applying the Substitution method, as following:

- Solve for one of the variables from one of the equations and substitute it into the other equation to solve for the other variable and calculate its value.

- Substitute the value obtained into one of the original equations to solve for the other variable and calculate its value.

 4. Therefore, you have:

5x+4y=77\\5x=77-4y\\x=\frac{77-4y}{5}=15.4-0.8y

Then:

6(15.4-0.8y)+3y=78\\92.4-4.8y+3=78\\-1.8y=-14.4\\y=8

Finally:

5x+4(8)=77\\5x+32=77\\5x=45\\x=9

Therefore he got paid $9 per hour at his job as a cashier and $8 per hour at his job delivering newspapers.

5 0
3 years ago
1) Is 26,341 divisible by 3? If it is, write the number as the product of 3 and another factor. If not, explain.
yan [13]

Answer:

No

Step-by-step explanation:

26341 ÷ 3 = 8780.333333

because the product has a decimal of 8780 recurring 3, therefore 26341 is not divisible by 3

8 0
3 years ago
An adjustable ladder on the back of the firetruck is needed for firefighters to climb to very high buildings. The maximum angle
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Cos 70 = horizontal distance /
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Answer:

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Step-by-step explanation:

6 0
2 years ago
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For the y= 2/3x , if the y coordinate is 14 what is the x coordinate? help asap
nignag [31]

Answer:

21

Step-by-step explanation:

y= 2/3 x

so, x= 3/2y

when y= 14

x= 3/2×14 = 21

4 0
2 years ago
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