3n-5=-8(6+5n) in distributive property

Answers

Answer 1

Answer:

n=-1

Step-by-step explanation:

3n-5=-8(6+5n)

3n-5=-48-40n

add 40n to both sides

43n-5=-48

n=-1

Answer 2

Using distributive property we can expand the expression as

3n - 5 = -8 x 6 + (-8) x 5n

To apply the distributive property to the equation

3n - 5 = -8(6 + 5n), we need to distribute the -8 to the terms inside the parentheses.

Using the distributive property, we have:

3n - 5 = -8 x 6 + (-8) x 5n

Simplifying further:

3n - 5 = -48 - 40n

Now, we can continue solving the equation using the simplified form as

3n + 40n = -48 + 5

43n = -43

n= -1.

Learn more about distributive property here:

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Related Questions

A nurse is preparing to administer dopamine 2 mcg/kg/min by continuous IV infusion for a client who weighs 110 lb. Available is dopamine
400 mg in 250 mL of D5W. The nurse should set the IV pump to deliver how many ml/hr administer? (Round the answer to the nearest
tenth.)​

Answers

Answer:

3.7ml/hr

Step-by-step explanation:

From the question

A nurse is preparing to administer dopamine 2 mcg/kg/min by continuous IV infusion

Step 1

The patient weighs 110lb(pounds

Convert the patients weight to kilogram

1 lb = 0.454kg

110lb =

Cross Multiply

110lb × 0.454kg

= 49.94kg

The patient weight = 49.94kg

Step 2

The dosage to to be administered by the nurse = 2 mcg/kg/min

If 1 kg = to be administered 2mcg/min

49.94 kg =

(49.94kg × 2mcg/min)/1

= 99.88mcg/min

Therefore, for the patient's body weight, the patient's dosage = 99.88mcg/min

Step 3

Available dopamine is 400mg in 250ml

We have to convert this to mcg

Hence,

1 mg = 1000mcg

400mg =

Cross Multiply

= 400mg × 1000mcg

= 400000mcg

Hence, the available dopamine is administer in 250ml/400000mcg

Part 3

Since 60 minutes is 1 hour

The nurse should set the IV pump to deliver how many ml/hr

(99.88mcg/min × 250ml × 60mins)/ 400000mcg

= 3.7455ml/hr

Approximately to the nearest tenth = 3.7ml/hr

1/2 - 1/5

I don’t know how to do these problems

Answers

Answer: 3/10

Step-by-step explanation: Since our denominators of 2 and 5have no

factors in common, our least common denominator is 2 · 5 or 10.

In order to get a denominator of 10 in each fraction,

we multiply top and bottom of the first fraction by 5

and top and bottom of the second fraction by 2.

That gives us 5/10 - 2/10 which is 3/10.

I agree with the answer above and very well explained ^

A Ferris wheel at a carnival has a radius of 38 feet. Suppose a passenger is traveling at 5 miles per hour. (A usual fact: 1 mi = 5280 ft).A) Find the angular speed of the wheel in radians per minute.B) Find the number of revolutions the wheel makes per hour.

Answers

Answer:

a

[tex]w =  11.58 \ rad/minutes[/tex]

b

[tex]R_h  =  111 \ revolution\ per  \  hour[/tex]

Step-by-step explanation:

From  the question we told that

    The radius of the wheel is  [tex]r = 38 \  ft[/tex]

     The  speed of the passenger is  [tex]v  =  5 \  miles /hr = \frac{26400}{3600} = 7.33 \ ft / s[/tex]

  Generally the angular speed is mathematically represented as

     [tex]w =  \frac{v}{r}[/tex]

=>   [tex]w =  \frac{7.3}{ 38}[/tex]

=>   [tex]w =  0.193 \ rad/s[/tex]

now converting the seconds to minutes

        [tex]w =  0.193 *60[/tex]

        [tex]w =  11.58 \ rad/minutes[/tex]

Generally number of revolutions the wheel makes per minutes is mathematically represented as

     [tex]R = \frac{11.58 }{2 \pi}[/tex]

      [tex]R = 1.84 \ rpm[/tex]

Generally number of revolutions the wheel makes per hour  is mathematically represented as

       [tex]R_h  =   R *  60[/tex]

=>     [tex]R_h  =  1.84 * 60[/tex]

=>    [tex]R_h  =  111 \ revolution\ per  \  hour[/tex]

Officer Brimberry wrote 24 tickets for traffic violations last week, but only 9 tickets this week. What is the percent decrease? Give your answer to the nearest tenth of a percent Help me please

Answers

Amount of decrease: 24 - 9 = 15

Percent of decrease = (15 / 24) x 100

Percent = 62.5%

By substituting in the values of the variables, complete the addition number sentence that corresponds to the diagram below,

Answers

Answer:

[tex] a + b + c = 5 + 6 + 11 = 22 [/tex]

Step-by-step explanation:

Variable "a" and "b" represents distances on the numberline.

Variable "c" is the combined distance of the values of variable "a" and variable "b" on the numberline.

a = length of red line = |5 - 0| = |5| = 5

b = length of blue line = |11 - 5| = |6| = 6

c = length of black line (red+blue) = |11 - 0| = |11| = 11

Therefore:

[tex] a + b + c = 5 + 6 + 11 = 22 [/tex]

Please help!! Thanksss

Answers

Answer:

b

Step-by-step explanation:

complimentary which means both angles are the same and on the opposite sides of each other

im not sure if the explanation is correct but im pretty sure the answer is

Customers at a certain pharmacy spend an average of $54.40, with a standard deviation of $13.50.What are the largest and smallest amounts spent by the middle 50% of these customers?

Answers

Answer:

Largest is  [tex]x_2 = \$ 63.506[/tex]

Smallest is  [tex]x_1 = \$ 45.29[/tex]

Step-by-step explanation:

From the question we are told that

  The  mean is  [tex]\mu = \$ 54.40[/tex]

   The  standard deviation is  [tex]\sigma = \$ 13.50[/tex]

 

The largest and the smallest amount spent by 50% of the costumer is mathematically represented as

        [tex]P(x_1 < X < x_2) = P(\frac{ x_1 -\mu}{\sigma } < \frac{X - \mu }{ \sigma } < \frac{ x_2 -\mu}{\sigma } ) = 0.50[/tex]

=>    [tex]P(x_1 < X < x_2 ) = P(\frac{x_1 - 54.40}{ 13.50} < X < \frac{x_2 - 54.40}{ 13.50} ) = 0.50[/tex]

Given that this is normally distributed we have that

      [tex]P(X <- \frac{x_1 - 54.40}{ 13.50} ) = 0.25[/tex]

and

    [tex]P(X < \frac{x_2 - 54.40}{ 13.50} ) = 0.25[/tex]

From the normal distribution curve that z-score having a probability of 0.25 is  

0.6745

So

    [tex]\frac{x_1 - 54.40}{ 13.50} = -0.6745[/tex]

=>  [tex]x_1 = \$ 45.29[/tex]

and  

   [tex]\frac{x_2 - 54.40}{ 13.50} = 0.6745[/tex]

=>  [tex]x_2 = \$ 63.506[/tex]

     

I need help to find the slope of the line

Answers

Undefined slope ,,,,
It’s an Undefined slope

At a convention there are 7 math instructors, 5 computer science instructors, 3 statistics instructors and 4 science instructors. If an instructor is selected at random, find the probability of selecting a math or science instructor. (Write your answer as a decimal, rounded to the nearest hundredth.)

Answers

There are 11 math or science instructors and 19 instructors in total, so probability is 11/19

Answer:

11/19

Step-by-step explanation:

f(x) = (2x + 1)(x - 2)(x + 3)

Answers

Answer:

f(3) = 42.

Y-intercept is (0, -6).

X-intercepts  are (-0.5, 0),  ( 2, 0) and (-3, 0).

Step-by-step explanation:

f(3) = (2(3) + 1)(3 - 2)(3 + 3)

= 7 * 1 * 6

= 42.

The y intercept occurs when x = 0:

y-intercept = (2(0) + 1)(0 - 2)(0 + 3)

= 1 *-2*3

= -6.

Calculate the x-intercepts:

(2x + 1)(x - 2)(x + 3) = 0  so

(2x + 1) = 0 or  (x - 2) = 0   or   (x + 3) = 0

So x = -0.5,  2 or  -3.

An equilateral triangle measures 3 1/2 inches on one side.what is the perimeter of the triangle

Answers

Answer:

10.5 inches

Step-by-step explanation:

Equalilateral triangle means all the 3 sides are equal

So perimeter of equilateral triangle=3(side)

=>3(3.5)

=>10.5

Help i dont understand pls help :(

Answers

Answer:

B. -2

Step-by-step explanation:

All you have to do is look at 2 on the x axis and see where it lines up on the graph with the y axis. In this case, when you trace the line of 2 it matches up with -2 on the graph.

One cup of yogurt contains 13 g of protein. Convert this to milligrams

Answers

Answer: 13000.00mg :) hope this helps

WILL GIVE BRAINLIEST! Prove that a quadrilateral ABCD with vertices A(–1, –2), B( 2, –5), C(1, –2), and D( –2, 1) is a parallelogram. Find the point of intersection of the diagonals of parallelogram ABCD. Provide your complete solutions and proofs in your paper homework and enter the numeric answers online.

Answers

Answer:

(0,-2)

Step-by-step explanation:lol rsm hw

ok so just take average of two points (-1, -2) (1, -2)

-1+1=0/2=0

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

You can do this with B and D too

Have fun in rsm

A recipe for 24 cookies calls for 6 tablespoons of sugar. Which of the amounts below would be a correct ratio of cookies to sugar if you were to use the recipe?

Answers

Answer:

1:4

Step-by-step explanation:

0.25 tablespoons of sugar will be used per cookie

Answer:

4 cookies per tablespoon of sugar

Step-by-step explanation:

24 cookies divided by 6 tablespoons of sugar equal 4 cookies per tablespoon of sugar

Eli has 7 games on his phone. His sister has 6 more than him. Which ratio compares the number of games on Eli’s phone to the number of games on his sister’s phone?
a. 6:13
b. 7:13
c. 6:7
d. 7:6

Answers

Answer:

B: 7:13

Step-by-step explanation:

Answer:

7:13

i get it correct on the work sheet

what is 0.26 rounded to the nearest tenth.​

Answers

Answer:.3

Step-by-step explanation: if it is 5 or above it rounds up

Find the volume of the solid shown or described. If necessary round to the nearest tenth. What is the volume of the shed?

Answers

Answer:

Volume of shed = 38 m³

Step-by-step explanation:

Given:

Length = 5 m

Width = 2 m

Height of wall = 3 m

Height of triangular shed = 1.6 m

Find:

Volume of shed

Computation:

Volume of shed = Volume of walls + Volume of triangular shed

Volume of shed = [lbh] + [1/2][Base area]h

Volume of shed = [(5)(2)(3)] + [1/2][(5)(2)]1.6

Volume of shed = [30] + [8]

Volume of shed = 38 m³

At the store, Jason find the volume of a soda pack is 423.9 in.³. If each cylinder shaped can has a height of 6 inches and a diameter of 3 inches, how many soda cans are in a pack? (Use 3.14 for pi)

Answers

Answer : The correct option is, (A) 10

Step-by-step explanation :

First we have to calculate the volume of cylinder shaped can.

Formula used:

Volume of cylinder = π r² h

where,

r = radius of cylinder

h = height of cylinder

Given:

Diameter of cylinder = 3 in

Height of cylinder = 6 in

Radius of cylinder = [tex]\frac{Diameter}{2}=\frac{3in}{2}=1.5in[/tex]

Now putting all the given values in the above formula.

Volume of cylinder = π r² h

Volume of cylinder = 3.14 × (1.5 in)² × 6 in

Volume of cylinder = 42.39 in³

Now we have to determine the number of soda cans are in a pack.

Number of soda cans are in a pack = [tex]\frac{\text{Volume of soda pack}}{\text{Volume of cylinder shaped can}}[/tex]

Number of soda cans are in a pack = [tex]\frac{423.9in^3}{42.39in^3}[/tex]

Number of soda cans are in a pack = 10

Therefore, the number of soda cans in a pack are 10.

10 − 2(22 + 1) ÷ 23

help me pls thanks

Answers

Answer:

8

Step-by-step explanation:

8 like the answer above I am pretty sure

please helppppppppp meeeeee​

Answers

Answer:

2 1/4

Before Simplifying:

9/4

After Simplifying:

2 1/4

Answer: the exact form is 9/4 decimal form is 2.25 and the mixed number form is 2 and 1/4.

Step-by-step explanation:

so take 9/10 and turn 4/10 into 10/10 and the when you divied  use KFC and you turn your division sign into a multiplication sign then you just multiply 9/10 and 10/10 and you get 90/40

Then you just take the zero's off and you have 9/4 which equals 2 and 1/4

2 and 1/4 is your answer.

Jade receives total employment benefits that are 17.5% of her gross annual pay. If Mary has a gross annual pay of $60,500, how much in total job benefits does she receive?
A. $71,087
B. $81,087
C. $61,087
D. $51,087

Answers

Answer:

A. $71,087

Step-by-step explanation:

The name jade and Mary contradict each other, let's assume both jade and Mary refers to the same person

Jade receives job benefits of 17.5% of her annual gross pay

Jade has an annual gross pay of $60,500

how much in total job benefits does she receive?

Total job benefits received = 17.5% of $60,500 + $60,500

= (17.5 / 100 * 60,500) + 60,500

= (0.175 * 60,500) + 60,500

= 10,587.5 + 60,500

= $71,087.5

The rounded value closest to the answer in the option is $71,087

If someone rode for 2 hours at 3 miles per hour, how far would they go?

Answers

Answer:

Six miles

Step-by-step explanation:

You multiply the two by the three (2x3) and get six (6)

What number should be placed in the box to help complete the division calculation of 2635 divided by 17

Answers

Answer:

divided

Step-by-step explanation:

divided 26 goes into 17. than right your numder up tope. that is hoow you divited it is easy just try.

If 50 percent of the families in a certain city subscribe to the morning newspaper, 65 percent of the families subscribe to the afternoon newspaper, and 85 percent of the families subscribe to at least one of the two newspapers. What percentage of the families subscribe to both newspapers?

Answers

Answer: 30%

Step-by-step explanation:

Given, Percent of families subscribe to the morning newspaper =  50%

Percent of families subscribe to the afternoon newspaper = 65%

Percent of families subscribe to at least one of the two newspapers. = 85%

Now, percentage of the families subscribe to both newspapers = % for morning newspaper  +   % for afternoon newspaper - % for at least one of the two newspapers

= (50+65 - 85) %

=  30 %

Hence, the percentage of the families subscribe to both newspapers = 30%

-5x² – 2x+10 - x² + 7x +5

Answers

Answer:

-6x² + 5x + 15

Step-by-step explanation:

Combine like terms. Like terms are terms with the same amount of variables.

Reorder based on descending powers:

-5x² - x² + 7x - 2x + 10 + 5

(-5x² - x²) + (7x - 2x) + (10 + 5)

(-6x²) + (5x) + (15)

-6x² + 5x + 15 is your answer.

~

please answer thank you!!

Answers

Answer:

C

Step-by-step explanation:

Distribute

-6x + 20 = 15

C

just distribute

hope it helps

evaluate 3 + 6 x 4 - 16/2

Answers

Answer:

19

Step-by-step explanation:

what is the average rate of change

Answers

Answer:

The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

It is a measure of how much the function changed per unit, on average, over that interval.

21+6x; x= -2 evaluate

Answers

Steps to solve

21 + 6x when x = -2

~Substitute

21 + 6(-2)

~Simplify

21 - 12

~Subtract

9

Best of Luck!

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