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slavikrds [6]
3 years ago
7

Solve for x. Please have explanantion

Mathematics
1 answer:
adell [148]3 years ago
6 0

Step-by-step explanation:

You would multiple each side by 9 and get 45=-3x. Then you would divide each side by -3 and get -15=x.

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The speed of a boat in still water is 40 mph. If it takes the same time for the boat to travel 8 miles upstream as it does to tr
antoniya [11.8K]

Answer:

Current speed is 40mph

Step-by-step explanation:

We firstly need to know what is intended by upstream and downstream. When the boat travels in the direction of the current (horizontal movement of the water), we say it is moving downstream otherwise it is moving upstream.

Let's assume the speed of the boat is A and that of the current is B, then the speed when it moves dowstream would be A + B and the speed if it moves upstream would be A – B.

In this question, we know that the speed of the boat is 40mph. Given that it takes the same time to travel 8miles upstream as it does to travel 24miles downstream, we have

Speed upstream = 8/t

Speed downstream = 24/t

Respectively.

Let speed of current be X, then

Speed downstream = 40 + X

Speed upstream = 40 – X

From the question we have:

(40 + x)/24 = (40 – X)/8

(40 + x)/3 = (40 – x)/1

3(40 – x) = 40 + X

120 – 3x = 40 – X

120 – 40 = 3x – X

2x = 80

X = 40.

Therefore, current speed is 40mph

5 0
2 years ago
A farmer planned to plant 120 seeds in all. After planting 10 more seeds each day than was planned, she was able to finish 2 day
zheka24 [161]
Let s=number of seeds and t=number of days...

st=120 and (s+10)(t-2)=120

From the first we can say t=120/s, now using this value of t in the second equation gives us:

(s+10)(120/s-2)=120

(s+10)(120-2s)/s=120

(s+10)(120-2s)=120s

120s-2s^2+1200-20s=120s

2s^2+20s-1200=0

s^2+10s-600=0

(s+30)(s-20)=0, since s>0

s=20, and since she planted s+10 seeds per day to finish two days earlier:

20+10=30

She planted 30 seeds per day.
3 0
3 years ago
A deep-sea diver dived off a boat to a depth of -45 feet. What is the absolute value that expresses the distance the diver went?
Vlad1618 [11]

45 feet.

Absolute value is the distance of a number from 0. Say 0 is the surface of the ocean, then the diver is 45 feet away from it. Either from above or below, they are the same distance away.

7 0
2 years ago
46n=350 what does n stand for?
bogdanovich [222]

Answer:

7.6

7.61

Step-by-step explanation:

7.608695652

4 0
2 years ago
Dave buys 4 slices of one kind. He pays $6.00.
s344n2d4d5 [400]
Okay, so if Dave buys 4 slices of one kind and pays $6.00 $6 / 4 = $1.50 per slice So the correct answer is whichever pizza is $1.50 per slice. Hope that helps!
3 0
3 years ago
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