8/11 - Applying the Distributive Property
1. What is the simplest expression equivalent to 5(2x - 13) ?

Answers

Answer 1
10x-65
Distributive property just means multiply the 5 by each term inside the parentheses.

Related Questions

Product A sells 1.5 times more than Product B. Product B sells 70% less than Product C. Product C sold 34,000 units this month.
How many units of Product A were sold?
10,200
15,300 23,800 35,700 51,000

Answers

Answer:

15,300 units

Step-by-step explanation:

First, find how many units of Product B were sold:

34,000(0.3)

= 10,200

Find how many units of Product A were sold:

10,200(1.5)

= 15,300

So, 15,300 units of Product A were sold.

Product A  sold 15,300 units that is 1.5 times more than product B

Given :

Product A sells 1.5 times more than Product B. Product B sells 70% less than Product C.

Product C sold 34,000 units this month

Product C sold = 34000

Product B is 70% less than product C

So, product B is 100-70% =30% of product C

[tex]Product B=\frac{30}{100} \cdot 34000\\Product B \; sold = 10200[/tex]

Lets find out product A sold

Product A sold = 1.5 times more than product B

[tex]Product A= 1.5 \cdot product B\\Product A=1.5 \cdot 10200=15300[/tex]

15,300 units of product A were sold.

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Mr. Green just spent $11.95 on a
haircut. About how much should he
leave for a 15% tip?

Answers

1) you find the multiplier by dividing 15÷100=0.15

2) multiply the answer by 11.95 so 0.15x11.95=1.792 so the answer is $1.792 because it is 15% of $11.95

Answer:

13.74

Step-by-step explanation:

To determine the tip, take the total amount and multiply by the tip percentage

11.95 * .15

1.7925

Round to the nearest cent

1.79

Add this to the cost of the haircut

11.95+1.79

13.74

Can anyone help me?

Answers

Answer:

y is not a function of x

Step-by-step explanation:

This fails the vertical line test. This means that not all inputs have exactly one output. This makes this not a function.

QUESTION 3.1 POINT
An investment pays 25% interest compounded monthly. What percent, as a decimal, is the effective annual yied? Enter your
answer as a decimal rounded to four decimal places.

Answers

9514 1404 393

Answer:

  0.2807

Step-by-step explanation:

The relationship between the effective annual yield (e) and the nominal annual interest rate (r) compounded n times per year is ...

  e = (1 +r/n)^n -1

  e = (1 +0.25/12)^12 -1 = 0.2807 . . . . . . about 28.07%

How many gallons of a 5% bleach solution must be
added to 10 Gallons of a 20% bleach solution to
produce that is 15% bleach

Answers

Answer:

Step-by-step explanation:

10 gallons of the 20% solution contain 2 gallons of bleach.

x gallons of the 5% solution contain 0.05x gallons of bleach.

If the two are combined, the resulting 10+x gallons contain 2+0.5x gallons of bleach. The concentration is (2+0.05x)/(10+x).

(2+0.05x)/(10+x) = 15%

2+0.05x = 0.15(10+x)

2+0.05x = 1.5+0.15x

0.5 = 0.10x

x = 5

5 gallons of 5% solution is added to the 10 gallons of 20% solution.

60°
8
30°
х
Determine the value of x.

Answers

Answer:

4 sqrt(3) =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 60 = x / 8

8 sin 60 = x

8 ( sqrt(3)/2) = x

4 sqrt(3) =x

please help me with this
——/———————-////—————-

Answers

Answer:

"C"

Step-by-step explanation:

-B means the B is in the opposite direction

Need help with this- Precalculus

Answers

use x^2 when x=0 because the restriction for it is "use x if x is less than or equal to 1"

when x = 0, (0)^2 will make f(x) = 0

the graph of f(x) will just be a dot at 0


In the figure above, AD and BE intersect at point C, and
the measures of angles B, D, and E are 98°, 81°, and 55°,
respectively. What is the measure, in degrees, of
angle A ? (Disregard the degree sign when gridding your
answer.)

Answers

answer in screenshot

Steve and Herb are choosing seats at the baseball stadium.
The seats are numbers like a coordinate grid. Steve
chooses the seat at (1, 2). If Herb does not want to sit in the
same vertical or horizontal row as Steve's seat, which seat
should he choose?
OA) (0,2)
B) (0,1)
C) (1,0)
OD) (-1,2)

Answers

The x value should not contain the number 1, so we can eliminate choice c, the y value should not contain the number 2 so we can Eliminate option A and D. The only we one we have not eliminated is B, and it follows the rules of not having 1 in the x value or 2 in the y value. Therefore ur answer is option B! Hope this helps! Pls give brainiest. Thank you!

The solution is: B) (0,1) is the seat should he choose.

What is coordinate?

Coordinates are a pair of numbers which are used to determine the position of a point or a shape in a 2-dimensional plane. We define the position of a point on a 2D plane using two numbers, called the x-coordinate and the y-coordinate.

here, we have,

given that,

Steve and Herb are choosing seats at the baseball stadium.

The seats are numbers like a coordinate grid. Steve chooses the seat at (1, 2).

If Herb does not want to sit in the same vertical or horizontal row as Steve's seat.

now, we have,

in the same vertical or horizontal row means The x value should not contain the number 1, and, the y value should not contain the number 2 .

now, we get,

The x value should not contain the number 1, so we can eliminate choice c,

the y value should not contain the number 2 so we can Eliminate option A and D.

The only we one we have not eliminated is B,

and it follows the rules of not having 1 in the x value or 2 in the y value.

Therefore the answer is option B.

Hence, The solution is: B) (0,1) is the  seat should he choose.

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modeled by a cylinder with diameter 15 feet

Answers

what’s the question?

What is 3 times 10^9

Answers

Answer:

3 times 10 ^ 9

Step-by-step explanation:

3 × 10 ^ 9 = 3000000000

The square root of 3/100 is between what two numbers

Answers

9514 1404 393

Answer:

  0.17 and 0.18

Step-by-step explanation:

Usually, a question like this asks for two integer values that bound the root. Here, those would be 0 and 1.

  √(3/100) = (√3)/10 ≈ 0.17320508...

You can truncate this at any point to find a number lower than √.03, then add 1 to that value's least-significant digit to find a number higher than √.03.

For example, if we use 4 digits, the two numbers bounding the root could be ...

  0.1732 and 0.1733

For what value of x is the parallelogram a rhombus.

Answers

Answer:

Step-by-step explanation:

2 × ( 3x + 6 )° + ( 16x + 14 )° = 180°

22x + 26 = 180

22x = 154

x = 7

Needs to be done using the Pythagorean Theorem

Answers

Answer:

11.3 ft high

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

4² + b² = 12²

16 + b² = 144

b² = √128

b = 11.3

Brenna went to the mall with her mom. They started shopping at 4:47 P.M. First, they spent 26 minutes in the shoe store. Then they spent 1 hour and 13 minutes shopping for a dress for Brenna. Finally, they spent 1 hour and 2 minutes eating dinner at the food court. What time was it when Brenna and her mom finished eating dinner?

Answers

Brenna and her mom finished eating dinner at 7:28 PM

They started shopping at 4:47 PM, and spent 26 minutes in the shoe store.

4:47 + 26 = 5:13 PM

They spent another 1 hour and 13 minutes shopping for a dress.

5:13 + 1 hr 13 min = 6:26 PM

Finally, they spent 1 hour and 2 minutes eating dinner at the food court.

6:26 + 1 hr 2 min = 7:28 PM

Hope this helps :)

What expression is equivalent to 18 1/5 ( -22 2/5 ) - (-40 1/5 )

Answers

(18 1/5 * (-22 2/5)) - (-40 1/5) = -367.48

kabura bought a piece of cloth 3 metres long. The material shrunk by 1% after washing. What was the new length of the cloth​

Answers

Answer:

2.97m

Step-by-step explanation:

1% of 3m =1/100×3=0.03

0.03m of cloth was shrunk,

So, New lenght : 3-0.03=2.97m

What is the variable used in the equation 5x + 2 =100?​

Answers

Answer:

[tex]5x + 2 = 100 \\ 5x = 100 - 2 \\ 5x = 98 \\ x = \frac{98}{5} \\ x = 19.6[/tex]

Answer: the answer would be x because that's the actual variable in the question then if 19.6 was not an option

Step-by-step explanation:

You are planning to attend college next year. The total cost of tuition and textbooks is $10,000. If you go to school, your room and board will cost you $5,000. If you did not go to school, however, you would live at home, and your total room and board would only be $1,000. Additionally, if you did not go to college, you would work a job making $20,000 for the year.
1. In terms of room and board alone, what would be opportunity cost of attending college. Be sure to explain your answer
2. What are the explicit costs of attending school? How much should be included for room and board?
3. What would be the implicit cost of attending college next year?
4. What would be the total opportunity cost of attending college next year?

Answers

Opportunity Cost of attending college, in terms of room and board is $4000 . Explicit Cost, Implicit Cost of attending college is $14000, $20000. Total Opportunity Cost of attending college is $34000

1. Opportunity Cost is the cost of next best alternate foregone, as in value of sacrifice made, while choosing an alternative.

Money foregone to attend college, in room & board = room & board cost with college - room & board cost without college = 5000 - 1000 = 4000

2. Explicit Cost is the actual out of pocket cash expenses outflow, done for choosing an option. Eg : Cash expenditures

In this case, cash expenses for attending college = 14000

3. Implicit Cost is the implied estimated cost of self supplied factors of production, like value of self labour & self owned land etc.

In this case : Value of self labour, sacrificed for attending college, ie the salary which could have earned by doing job meanwhile = 20000

4. Total opportunity cost of attending college = Explicit Cost + Implicit Cost = 14000 + 20000 = 34000

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The 25th percentile for waiting time in a doctor's office is 25 minutes. The 75th percentile is 40 minutes. The interquartile range (IQR) is

Group of answer choices

15 minutes.

14 minutes.

impossible to determine without knowing n.

13 minutes.

Answers

Answer:

15 minutes

Step-by-step explanation:

The IQR is the range between Q1 and Q3. The quartile that represents 25% is Q1 and 75% is Q3. So, to solve find the range between 75% and 25%. The range is the difference. Therefore, subtract 25 from 40 to get the final answer, 15 minutes.

Five more than twice a number is three. Write that in equation

Answers

Step-by-step explanation:

Hi there!

According to the question;

Five more than twice a number is three.

Then let the number be "x".

Since X is the number according to the condition of question;

The number is twice : 2x

It's then more 5 : 2x+5

And the result is : 3,

Combining all; we get,

2x+5 = 3

Therefore, the required equation is 2x+5 = 3.

Hope it helps!

a number is divisible by 10 if it has ____ in ones place .​

Answers

Answer:

A number is divisible by 10 if it has a zero in ones place.

Step-by-step explanation:

We know that 10= 2 x 5 .So to be divisible by 10 we have to be divisible by both 2 and 5As we know ,Numbers divisible by 2 are even numbers and numbers divisible by 5 if it has a zero or a five in ones place . From that, we have A number is divisible by 10 if it has a zero in ones place.

Let (2,-5) be a point on the terminal side of theta find the exact values of cos theta csc theta and tan theat

Answers

Answer:

Step-by-step explanation:

x = 2, y = -5

√(2²+(-5)²) = √29

cosθ = 2/√29 = (2√29)/29

sinθ = -5/√29

cscθ = 1/sinθ = -√29/5

tanθ = sinθ/cosθ = -5/2

The values of cos theta is 2/[tex]\sqrt{29}[/tex] , cosec theta is [tex]\sqrt{29} /5[/tex] and tan theta is 5/2 if the point on the terminal side of theta is (2,-5).

What is pythagoras theorem?

It says that in a right angled triangle the square of the hypotenuse is equal to the sum of the square of base and square of height.

How to find values of trigonometric function?

We have been given a point (2,-5) on the terminal side. Let us plot the point on the graph and join it with origin from both ends.

By pythagoras theorem we can easily find AC=[tex]\sqrt{5^{2}+2^{2} }[/tex]

AC=[tex]\sqrt{29}[/tex]

With the help of the sides of the triangle we can find the value of

cos theta=2/[tex]\sqrt{29}[/tex]

cosec theta=[tex]\sqrt{29}[/tex]/5

tan theta=5/2

Hence the values of cos theta, cosec theta, tan theta are 2/[tex]\sqrt{29}[/tex],[tex]\sqrt{29}[/tex]/5,5/2 respectively.

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what is the area of triangle JHK?​

Answers

9514 1404 393

Answer:

  4.18 square units

Step-by-step explanation:

The area is given by the formula ...

  A = 1/2bh

where b is the length of the base, and h is the perpendicular distance from the base to the opposite vertex.

  A = 1/2(2.2)(3.8) = 4.18 . . . square units

Simplify the exponential expression -8 squared

Answers

The answer is 64 because when you square something you are multiplying the number by the number.
Example: 4 squared= 4x4 which is 16

Answer:

-64

Step-by-step explanation:

-8^2

-8( -8)

=-64

I'm having an issue with a perpendicular line equation ​

Answers

Answer:

Step-by-step explanation:

y = [tex]\frac{5}{6}[/tex] x - 12

m = [tex]\frac{5}{6}[/tex]

( - 1, 2 )

y - 2 = [tex]\frac{5}{6}[/tex] ( x - ( - 1 ))

Equation of the ║ line is y = [tex]\frac{5}{6}[/tex] x + [tex]\frac{17}{6}[/tex]

Slope of the perpendicular line is ( - [tex]\frac{6}{5}[/tex] )

y - 2 = - [tex]\frac{6}{5}[/tex] ( x - ( - 1 ))

Equation of the ⊥ line is y = - [tex]\frac{6}{5}[/tex] x + [tex]\frac{4}{5}[/tex]

453,193 what is the value of the 5

Answers

Answer:

50,000

Step-by-step explanation:

3 is in the ones place so 3

9 is in the tens place (90)

1 is in the hundreds place (100)

3is in the thousands place (3,000

how many feet is 2 1/2 miles

Answers

Answer:

13200 ft

Step-by-step explanation:

1 mi = 5280 ft

5280 ft x 2.5 = 13200 ft

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

There are 13200 ft in 2 1/2 miles

Step-by-step explanation:

To solve this, you have to know how many feet are in a mile.

Answer: 5280 ft

Rule: Multiply miles x 5280 to get the amount of feet.

Step 1. Multiply 2 x 5280

Answer: 10560

Step 2. Find half of 5280

5280/2 = 2640

Step 3. Add 10560 and 2640

Answer: 13200

There are 13200 ft in 2 1/2 miles
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doomdabomb: All brainliest
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A hunter walks 400m Up a hill which slopes at an angle of 20 to the horizontal. Calculate,correct to the nearest metre, the: a. horizontal distance he covered b.vertical height through which he rises.​

Answers

let y be the horizontal distance and x the vertical

y/400 = cos 20

y=400 cos20

y=376m

x/400 =sin20

x=400sin20

x=137m

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HELP!!! I will give brainliest, 25 points!! Mu Alpha Theta, a math honorary club, wants to raise money. The club plans to sell cards and bouquets of flowers for Valentine's Day. Cards cost the club $2 each; bouquets cost the club $3.50 each. Mu Alpha will sell the cards for $6 each, and the flowers for $8 each. The club can spend $360 to buy the cards and the flowers. It wants to collect $900 from its sales. Which linear equation represents this scenario? A. 2x + 3.5y =360; 6x -8y =900B. 2x + 3.5y = 360; 8x + 6y = 900C. 2x - 3.5y = 360; 6x + 8y = 900 D. 2x + 3.5y = 360; 6x + 8y = 900E. 2x + 6y = 360; 3.5x + 8y = 900 F. No equation. write each equation explicitly in terms of x. then indicate whether the equation is a function. y^2-x^2+1=50 8. Compare the advantages and disadvantages of using a smartphone rather than a laptop computer for creating a report. write a conversation on my school flower in nepali explain how shaka used the nguni festival in developing the zulu Select the correct answer from the drop-down menu. Find the correct phrase to give this sentence a parallel structure. Paul doesn't like to shovel snow, to mow the lawn, or ( to rake , raking , rake , raked ) leaves.A. to rake B. raking C. rake D. raked Put the following equation of a line into slope-intercept form, simplifying allfractions.15x = 48 Which words and phrases from the excerpt best support the authors purpose of creating a sense of alarm about the environment? Select four options.these disastersactuallyhappenedgrim specteralmost unnoticedtragedystark reality Please help!!The spread of 24-hour news networks during the 1980s and 1990s made the American public more aware of which of these? a. global warming b. tobacco dangers c. humanitarian crises d. government intrusion we can prevent the effects of prejudiee and diserimination by unity true or false find the value of the trigonometric ratio. make sure to simplify the fraction if needed why do we go to hospital write down the main function of Western Nepal rural drinking water and sanitation project list any five Please HelpThe students in a high school are being randomly split into focus and accountability groups that meet each morning for the first fifteen minutes of the school day. Each group contains four students, selected regardless of gender or grade level.In order to explore the composition of the groups with regard to grade level, you have decided to conduct a simulation using colored discs. Since the number of students in each grade level is about the same, you put the same number of four different colored discs in a bag: red, blue, green, and yellow. You decide that red (r) represents the freshmen, blue (b) represents the sophomores, green (g) represents the juniors, and yellow (y) represents the seniors.Next, you randomly select one disc from the bag, record the color, and put the disc bag in the bag. You do the same thing three more times to represent one group. Then, you complete this entire process twenty-five times, as shown below.Based on the results of the simulation, the chances of a group having at least one senior is:likelyunlikelyneither unlikely or likely Please help explanation if possible When 8 is added to a certain number and the sum is multiplied by 3, the result is 57. Find the number. If i took my SIM card out of my phone and put it in a router then connect the router and my phone with Ethernet cable would the ping change??? tin t ra i l kt qu Members of a soccer team raised $1946.50 to go to a tournament. They rented a bus for $974.50 and budgeted $60.75 per player for meals. Write and solve an equation which can be used to determine pp, the number of players the team can bring to the tournament. Which of the following had the greatest Impact on southern agricultureThe invention of the cotton girThe foreign tariffThe increased immigrationThe presidency of Andrew Jackson