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Zina [86]
3 years ago
7

A man drove to work at an average rate of speed 60 miles per hour and

Mathematics
1 answer:
expeople1 [14]3 years ago
7 0

let x = miles

we have x miles/ 60mph plus x miles / 40 mph = 1 hour

x/60 + x/40 = 1

 we need to calculate 2x for the round trip

calculate common denominator and rewrite the 2 fractions:

2x/120 + 3x/120 = 1

5x= 120

x = 120/5 = 24 miles

24*2 = 48 miles total


 check:

 1 way would be 48/2 = 24 miles

24/60 = 0.4 hours to drive 24 miles at 60 mph

24/40 = 0.6 hours to drive 24 miles at 40 mph

0.6 +0.4 = 1 hour




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Which equation is correct? 2x+38) - 5x +4 A 7x - 41 B 7x + 41 C 36x - 2<br>or just write your own
bija089 [108]

Answer:

-3x+42

Step-by-step explanation:

(2x+38) - 5x +4

2x+38 - 5x +4

2x+38+ - 5x +4

2x+-5x+38+4

-3x+42

5 0
3 years ago
Line segments JK and JL in the xy-coordinate plane both have a common endpoint J (-4,11) and midpoints an M1 (2,16) and M2 (-3,5
Arisa [49]

Answer:

12.1  

Step-by-step explanation:

The dashed line joining M₁ and M₂ is the hypotenuse of a right triangle as shown in red below.

The base of the triangle is

x₂ - x₁ = 2 - (-3) = 2+ 3 = 5

The height of the triangle is

y₂ - y₁ = 16 - 5 = 11

We can now use Pythagoras' theorem to calculate distance between the two midpoints.

x² = 5² + 11² = 25 + 121 = 146

x = √146 = 12.1

The distance between M₁ and M₂ is 12.1.

8 0
3 years ago
An online furniture store sells chairs for $150 each and tables for $400 each. Every day, the store can ship no more than 30 pie
ivolga24 [154]

Answer:

minimum of 13 chairs must be sold to reach a target of $6500

and a max of 20 chairs can be solved.

Step-by-step explanation:

Given that:

Price of chair = $150

Price of table = $400

Let the number of chairs be denoted by c and tables by t,

According to given condition:

t + c = 30 ----------- eq1

t(150) + c(400) = 6500 ------ eq2

Given that:

10 tables were sold so:

t = 10

Putting in eq1

c = 20 (max)

As the minimum target is $6500 so from eq2

10(150) + 400c = 6500

400c = 6500 - 1500

400c = 5000

c = 5000/400

c = 12.5

by rounding off

c = 13

So a minimum of 13 chairs must be sold to reach a target of $6500

i hope it will help you!

4 0
3 years ago
A laptop computer is purchased for 2300 . After each year, the resale value decreases by 35% . What will the resale value be aft
denis-greek [22]
100-35 = 65
65% de 2300 = 1495 (mes 1)
2300-1495 = 805 (mes 2)
65% de 805 = 523,25 (mes 3)
65% de 523,25 = 340,1125 ~ 340,10 (mes 4)
8 0
3 years ago
Pls help with this, I have a lot of work and I'm trying to get it done faster​
creativ13 [48]

Answer:

C = 3b

Step-by-step explanation:

If each bottle costs 3 dollars, then the cost of b bottles would be 3b.

5 0
3 years ago
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