What is the solution set of the equation 3x2 = 48 ?

Answers

Answer 1

Answer:

Step-by-step explanation:

6=48

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A rectangular plot of ground is 5 meters longer than it is wide. Its area is 20,000 square meters.which equation will help you find dimensions?
Let w=width
a- w+2(w+5)=20,000
b- w(w+5)=20,000
c- (w(w+5))/2 = 20,000
d- w^2=20,000+5

Answers

Answer:

b- w(w+5)=20,000

Step-by-step explanation:

please mark this answer as brainliest

Solve the equations: (7x+4)/5 + (4x-2)/2=27, (8x+7)/6 + (9x-2)/2=6, 2/(x-4) + 8/(2x-8)=13 and 2/(x+5) - 4/(7x+35).

Answers

We need to solve for the x in the equations given.
(7x+4)/5 + (4x-2)/2=27
[(7x+4)*2 + (4x-2)*5]/ 10 = 27
(14x+8+20x-10)/10 = 27
(14x+8+20x-10) = 270
34x = 272
x = 8
---------------------

(8x+7)/6 + (9x-2)/2=6
[(8x+7) + (9x-2)*3] / 6 = 6
(8x + 7 + 27x - 6) / 6 = 6
(8x + 7 + 27x - 6) = 36
35x = 35
x = 1
----------------------------

2/(x-4) + 8/(2x-8)=13
[(2*2) + 8] / (2x-4) = 13
12 / (2x-4) = 13
13(2x-4) = 12
26x - 52 = 12
26x = 64
x = 64/26
x = 32 / 13
-----------------------------------

2/(x+5) - 4/(7x+35)
[(2*7) - 4] / (7x+35)
(14-4)/(7x+35)
10 / (7x+35)

Mrs. Rodriquez has 24 students in her class. Ten of the students are boys. Jeff claims that the ratio of boys to girls in this class must be 5:12. What is Jeff’s error and how can he correct it?Jeff found the ratio of the number of boys to the total number of students. He needed to first find that there are 14 girls to get a ratio of 10:14 or 5:7.Jeff found the ratio of the number of boys to the total number of students. He needed to first find that there are 14 girls. The ratio would be 14:10 or 7:5.Jeff did not write the ratio in the correct order. He should have written it as 24:10.Jeff did not write the ratio in the correct order. He should have written it as 12:5.

Answers

Answer:

The correct option A.

Step-by-step explanation:

Total numbers of students = 24.

Number of boys = 10

Number of girls = 24 - 10 = 14

Jeff claims that the ratio of boys to girls in this class must be 5:12.

The ratio of the number of boys to the total number of students is

$(boys)/(students)=(10)/(24)=(5)/(12)=5:12$

Therefore Jeff found the ratio of the number of boys to the total number of students.

The ratio of boys to girls in this class is

$(boys)/(girls)=(10)/(14)=(5)/(7)=5:7$

Therefore the ratio of boys to girls in this class is 5:7.

Option A is correct.

The ratio is 10:14 or 5:7 which is the ratio of boys to girls!

Y + 4 (less than) 1

Answers

y less than -3 , hope it helped

Jim goes canoeing on a local stream that has been measured to flow at 2 mph. If he can go 9 miles upstream in the same time it takes him to go 15 miles downstream, find how fast he can go in still waters.

Answers

Answer: This is a problem of solving a system of linear equations. Let x be the speed of Jim in still waters, and y be the speed of the stream. Then we have:

{x+y=15/tx−y=9/t

where t is the time it takes Jim to go upstream or downstream. We can solve this system by adding the two equations and eliminating y:

2x=24/tx=12/t

Then we can substitute x into one of the equations and solve for y:

y=15/t−12/ty=3/t

Since we know that the speed of the stream is 2 mph, we can equate y to 2 and solve for t:

3/t=2t=3/2

Finally, we can plug in t into the expression for x and find the speed of Jim in still waters:

x=12/tx=12/(3/2)x=8

Therefore, Jim can go 8 mph in still waters.

Answer:

Time taken to go downstream = 4 / ( 2 + S) where S is the speed of the river

TIme taken to go upstream = 1 / ( 2 - S )

Since the time taken is the same in each case we can equate both of them

1 / ( 2 - S) = 4 / ( 2 + S )

2 + S = 8 - 4S

5 S = 6

S = 6 / 5

= 1.2 mph

the time t required to drive a certain distance varies inversely with the speed, r. if it takes 4 hours to drive the distance at 40 miles per hour, how long will it take to drive the same distance at 55 miles per hour? a. about 2.91 hours b. about 160.00 c. 22.00 hours d. about 5.50 hours

Answers

Hello,

Answer A

d :the distance in miles
t: the time in hours
v: the speed in miles/hours (vistesse)

d=v*t
==>d=40*4=160(mi)

d=55*x=160==>x=160/55=2.909090... (mi/(mi/h)=h)≈2.91(hours)

The time it would take to drive the same distance at 55 miles per hour is 2.91 hours.

What is the time needed to drive the same distance?

If time varies inversely with speed, as time increases, speed decreases. This means that the faster one travels, the lower the time it would take to reach the destination.

The equation that can be used to represent inverse relation is:

t = k / r

Where k is the constant of proportionality

4 = k/40

k = 160

160 / 55 = 2.91 hours

To learn more about inverse proportion, please check: brainly.com/question/25748643

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