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Eva8 [605]
1 year ago
6

Solve the equation for the given variable. justify each step.

Mathematics
1 answer:
s344n2d4d5 [400]1 year ago
5 0

Answer: y=\frac{5-9x}{2}

s=-30+10t

Step-by-step explanation:

9x + 2y = 5; y

9x-9x+2y = 5-9x

2y=5-9x

y=\frac{5-9x}{2}

1/15s - 2/3t = -2; s

(1/15s - 2/3t = -2)*15     ==> Get rid of fraction by multiplying both sides by 15

s - 30/3 t=-30

s-10t=-30

s=-30+10t

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A person drove from 8 am Tuesday to 5 pm Wednesday. Total drive 396 miles. He have lunch for 30 minutes on Tuesday and sleep ove
777dan777 [17]

Answer: 18mph

Step-by-step explanation:

Given data

total distance driven = 396 miles

time driven = 8 am Tuesday to 5 pm Wednesday

total time driven in hours = 33 hours

lunch break time = 30 min Tuesday  + 30 min Wednesday

= 60 min

= 1 hour

sleep time = 7 pm Tuesday to  5 am Wednesday

= 10 hours

solution:

To find the average speed,

we are given total time driven = 33hrs.

lunch + rest time = 10hrs + 1hr

= 11hrs

total time travelled =drive time - rest + lunch time

= 33 - 11

= 22hrs

therefore;

average speed = distance / time traveled.

average speed = 396 / 22

average speed = 18 mph

6 0
3 years ago
Math - Use unit conversion factor to convert the units.
nlexa [21]

Answer: 240 minutes, 20 cups, 4000 pounds

<u>Step-by-step explanation:</u>

Use the following conversions:

1 hour = 60 minutes

2 cups = 1 pint

2 pints = 1 quart

1 ton = 2000 pounds

4\ hours\times \dfrac{60\ minutes}{1\ hour}=\large\boxed{240\ minutes}\\\\\\\\5\ quarts \times \dfrac{2\ pints}{1\ quart}\times \dfrac{2\ cups}{1\ pint}=\large\boxed{20\ cups}\\\\\\\\2\ tons\times \dfrac{2000\ pounds}{1\ ton}=\large\boxed{4000\ pounds}

8 0
3 years ago
The area of a triangle whose sides are 3cm, 4cm and 5cm respectively.
irakobra [83]
<h2>3x4x5=60cms </h2><h2>60cm is the correct answer to the question </h2>
7 0
3 years ago
What is the range of the function?
Goryan [66]

Answer:

1. all real numbers less than or equal to 4 = </= 4.

Answer = YES!

2. all real numbers less than or equal to -3 = </= -3.

Answer = YES!

3. all real numbers greater than or equal to 4 = >/= 4

Answer = YES!

4. all real numbers greater than or equal to -3 = >/= -3

Answer = NO!

Step-by-step explanation:

1. all real numbers less than or equal to 4 = </= 4.

1 + 1 = 2

1 + 2 = 3

2 + 2 = 4

2. all real numbers less than or equal to -3 = </= -3.

1 - 1 = 0

1 - 2 = -1

1 - 3 = -2

1 - 4 = -3

3. all real numbers greater than or equal to 4

1 + 1 = 2

1 + 2 = 3

1 + 3 = 4

1 + 4 = 5

4. all real numbers greater than or equal to -3

1 - 1 = 0

1 - 2 = -1

1 - 3 = -2

1 - 4 = -3

3 0
3 years ago
Leslie determined that the system of equations below has infinitely many solutions. Is she correct?
Nookie1986 [14]

Answer:

Leslie determined that the system of equations below has infinitely many solutions. Is she correct?  

x=4y-4

2x-8y=-24

A.Yes, Leslie is correct.

B. No, the solution is (-8,-24)

C. No, the solution is (0,-16)

<u>D. No, the system of equations has no solution. </u>

Step-by-step explanation:

you have to solve they as a pair of simultaneous equations and their is no solutions

if you need a more detailed explanation post the question again and i will write a detailed explanation

plz mark as brainliest


6 0
3 years ago
Read 2 more answers
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