I cant delete things so I guess I'll do this instead

A jug has a maximum capacity of 14 liters. is filled to 60% of its capacity, and then poured out at a rate of 60 mL/s. Which of

ZanzabumX [31]

Answer:

W(x) = 3.4 L - (25/1000)(L/s)*x

Step-by-step explanation:

it a tip

W(x) = 3.4 L - (25/1000)(L/s)*x

The maximum of the jug is 4 L.

now, the jug is 85% filled, then the amount of water in the jug is:

(85%/100%)*4L = 0.85*4L = 3.4L

Now, we pour 25 mL each second, so we could write a linear equation as:

W(x) = 3.4L - (25ml/s)*x

where x is the number of seconds that passed since the beginning,

But we want to write this in Liters, we have that:

1L = 1000mL.

Then 1mL = (1/1000) L

then we can write 25 mL as:

25m L = 25*(1/1000) L = (25/1000) L

Then we can write the equation as

W(x) = 3.4 L - (25/1000)(L/s)*x

which is the amount of water remaining in the jug after x seconds.

7 0

2 years ago

6 ( f + 4 ) + 2 ( f + 4 )

Helga [31]

6(f+4) + 2(f+4)

Use the distributive property:

6f+24 + 2f + 8

Now combine like terms:

8f +32

The answer is 8f + 32

4 0

2 years ago

Read 2 more answers

1. What is the median of the data set?

Tamiku [17]

Answer: 1. 7

2. 100

3. 193.8

4. 0.8

5. 90.6

Step-by-step explanation:

1. Given the data 9,3,10,12,4,5,12,2

For finding the median we arrange it in ascending order

2,3,4,5,9, 10,12,12

Since the no of observations are even

∴ median = $\frac{n/2 th term + (n/2 + 1)th term}{2}$

= $\frac{5+9}{2}$

= $\frac{14}{2}$

=7

i.e. Median =7

2. Given the data

23, 95,100,23,100,100

Since the no 100 is repeated thrice i.e. the maximum no of times

∴ Mode=100

3.

Given the data

108, 305,252,113, 191

Mean= $\frac{108+305+252+113+191}{5}$

= $\frac{969}{5}$

=193.8

4. Money spent in the first week

= $11.52, $6.48, $5.99, $14.00, and $9.50

Total for the first week

=11.52+6.48+5.99+14.00+9.50

=$47.49

Now she spent $4 more in the second week

i.e.$47.49+4

=51.49$

Increase in mean = $\frac{4}{5}$

=0.8

5.

Given

2 students scored 100 each

9 students scored 95 each

10 students scored 90 each

3 students scored 80 each

1 student scored 70

Total score of students = $2\times100+ 9\times 95+10\times90+3\times80+70\times1$

=2265

The average score

= $\frac{2265}{25}$

=90.6

8 0

3 years ago

Solve for x: -2x - 5 = 4

Nata [24]

Answer:

x=−20

Step-by-step explanation:

Step by Step Solution:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

x/5-(-4)=0

Step by step solution :

STEP

1

:

x

Simplify —

5

Equation at the end of step

1

:

x

— - -4 = 0

5

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 5 as the denominator :

-4 -4 • 5

-4 = —— = ——————

1 5

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x - (-4 • 5) x + 20

———————————— = ——————

5 5

Equation at the end of step

2

:

x + 20

—————— = 0

5

STEP

3

:

When a fraction equals zero

3.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

x+20

———— • 5 = 0 • 5

5

Now, on the left hand side, the 5 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

x+20 = 0

Solving a Single Variable Equation:

3.2 Solve : x+20 = 0

Subtract 20 from both sides of the equation :

x = -20

One solution was found :

x = -20

8 0

3 years ago

Read 2 more answers

3[x + 3(4x – 5)] = 15x – 24

Alex17521 [72]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{x = 0.875}}}}}$

Step-by-step explanation:

$\sf{3[ x + 3(4x - 5)] = 15x - 24}$

Distribute 3 through the parentheses

⇒ $\sf{3[ x + 12x - 15 ] = 15x - 24}$

Collect like terms : 12x and x

⇒ $\sf{3[ 13x - 15 ] = 15x - 24}$

Distribute 3 through the parentheses

⇒ $\sf{39x - 45 = 15x - 24}$

Move 15x to left hand side and change it's sign

Similarly, move 45 to right hand side and change it's sign

⇒ $\sf{39x - 15x = - 24 + 45}$

Collect like terms

⇒ $\sf{24x = - 24 + 45}$

Calculate

⇒ $\sf{24x = 21}$

Divide both sides of the equation by 24

⇒ $\sf{ \frac{24x}{24} = \frac{21}{24}}$

Calculate

⇒ $\sf{x = 0.875}$

Hope I helped!

Best regards! :D

5 0

3 years ago