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Westkost [7]
2 years ago
6

Two groups went hiking, leaving at the same time and arriving back at the same time. While one group moved away at the speed 6 m

ph and then moved back at the speed 4 mph, the other group moved all the way with the same speed. What was the speed of this second group, if both groups covered the same total distance, 24 miles?
Mathematics
1 answer:
Evgesh-ka [11]2 years ago
5 0

Step-by-step explanation:

d = the distance in one direction.

the time t1 it took group 1 was

t1 = d/6 + d/4

and t2 for group 2 moving with speed2 all the way

t2 = (d+d)/speed2

we know

2d = 24 miles

d = 12 miles

t1 = t2

so,

12/6 + 12/4 = 24/speed2

2 + 3 = 24/speed2

5 = 24/ speed2

5×speed2 = 24

speed2 = 24/5 = 4.8 mph

the second group moved with 4.8 mph.

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sleet_krkn [62]

Answer:

x = -5  y = -3

Step-by-step explanation:

-3x + 2y = 9

multiply the 2nd equation by 3 to set it up for elimination

3(x - 3y)= 3(4)

3x-9y = 12

so now combine both to add

-3x + 2y = 9

3x - 9y = 12

Adding both gives you

-7y = 21

divide both by -7 and you get

y = -3

and you substitute y back into equation to get x

x - 3 (-3) = 4   gives you

x + 9 = 4

x = 4 - 9

x = -5

7 0
3 years ago
James has $325 in his savings account. He spends $28 a week. How many, w, weeks until he has $157 left in his account?​
otez555 [7]

Answer:

6 weeks

Step-by-step explanation:

Total savings= $325

For every week, his total savings decrease by $28.

Let's form an expression for the amount of money left in his account after w weeks.

325 -28w= 157

28w= 325 -157

28w= 168

<em>Divide by 28 on both sides:</em>

w= 168 ÷28

w= 6

Thus, there are 6 weeks until he has $157.

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2 years ago
Help for brainliest please
tiny-mole [99]

Answer:

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The answer is A  hope this helps

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Lady_Fox [76]

Answer: The commission is paid according to sales amounts that are likely to vary from month to month.

Step-by-step explanation: Instead of a salary that is paid in the same amount on a schedule, the commission may be very large one month and very small or zero at other times.

Financial planning usually includes monthly payments that and predictable expenses for food, transportation, utilities, etc. The person who earns a commission must remember to set aside some of the "extra" to cover these expenses. And be prepared to work more or harder at some times to make sales when they don't come easily.

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