Simplify the following expression by distributing. Then, combine any like terms.

2.5(4p−16)−8p+10 =

Answers

Answer 1

Answer:

2p-30

Step-by-step explanation:

10p-40-8p+10

=2p-30


Related Questions

write the equation of the line that is parallel to y = 4x -7 and passes through the point (-2, -5). show your work.​

Answers

Answer:

y = 4x + 3

Step-by-step explanation:

To do this, put the new line into the form y = mx + b where m is the slope and b is the y-intercept.

When two lines are parallel, they have the same slope. Since, the slope of the first line is 4, that means the slope of the second line is also 4.

So far, the equation is y = 4x + b.

Then, since you know (-2, -5) is a solution, x = -2, y = -5 is a solution so you can plug this into the equation.

This would be:

-5 = 4 * -2 + b

-5 = -8 + b

3 = b

This means the equation is y = 4x + 3.

Patrick drives from P to Q at an average speed of 40 mph . His drive back from Q to P is at an average speed of 45 mph and takes two minutes less. How far, in miles, is it from P to Q?

QUICK ASAP PLS

Answers

Answer:

Step-by-step explanation:

66

what percent of 157 is 119.3​

Answers

Answer:

75.8 is your answer

Step-by-step explanation:

119:157*100 =

(119*100):157 =

11900:157 = 75.8

Answer:

187.301 is 157% of 119.3

Step-by-step explanation:

Tell whether x and y show direct variation. Explain your reasoning. 2x = 3y

Answers

Answer:

YES:  direct variation

Step-by-step explanation:

2x = 3y is equivalent to y = (2/3)x, which has the form of a proportional relationship (direct variation) y = kx.  YES

The temperature in fargo was -28 degrees on monday afternoon. by the evening it dropped an additional 15 degrees. what was the temperature in the evening


Please this is due in 5 minutes do it quick with step by step

Answers

Answer:

-43 degrees

Step-by-step explanation:

Start: -28 degrees

-28 degrees - 15 (dropped means subtract)

-28 - 15 = -43

Answer:

-43

Step-by-step explanation:

Tell whether each function is linear or non-linear.

Function A line1 Function B

x 0 1 2 3

y 0 1 8 27

y = –x + 5


Function A is non-linear and Function B is non-linear.


Function A is linear and Function B is non-linear.


Function A is linear and Function B is linear.


Function A is non-linear and Function B is linear.

Answers

Answer:

Function A is non-linear and Function B is linear.

Step-by-step explanation:

Linear function:

Has the following format:

y = mx + b

In which m is the slope and b is the y-intercept.

In a linear function, when x changes by 1, y will always changes by the same amount.

Function A:

When x changes by 1, y can change by various amounts. So function A is non-linear.

Function B:

y = -x + 5

In the format of a linear function, so linear

Kayla charges $15 for a bracelet, plus $0.80 for each letter bead that is put on the bracelet. Which expression represents the total cost of a bracelet with x letter beads?

Group of answer choices

15.80 + x

15.00x + 0.80

15.00 + 0.80x

15.80x

Answers

Answer:

The answer is 15.00+0.80x

Step-by-step explanation:

I know because I just did this question Lol-

How do I solve this?”USING SIMPLIFYING RADICALS WITH VARIABLES”

Answers

Answer:

[tex]\sqrt{72a^8b^5} = 6a^4b^2 \sqrt{2b}[/tex]

Step-by-step explanation:

Given

[tex]\sqrt{72a^8b^5[/tex]

Required

Simplify

Express 72 as 36 * 2

[tex]\sqrt{72a^8b^5} = \sqrt{36 * 2*a^8b^5}[/tex]

Express [tex]b^5[/tex] as [tex]b^4*b[/tex]

[tex]\sqrt{72a^8b^5} = \sqrt{36 * 2*a^8*b^4*b}[/tex]

Reorder

[tex]\sqrt{72a^8b^5} = \sqrt{36 *a^8*b^4* 2*b}[/tex]

Split:

[tex]\sqrt{72a^8b^5} = \sqrt{36} *\sqrt{a^8} *\sqrt{b^4} * \sqrt{2*b}[/tex]

Simplify each term

[tex]\sqrt{72a^8b^5} = 6 * a^{\frac{8}{2}} * b^{\frac{4}{2}} * \sqrt{2*b}[/tex]

[tex]\sqrt{72a^8b^5} = 6 * a^4 * b^2 * \sqrt{2*b}[/tex]

[tex]\sqrt{72a^8b^5} = 6a^4b^2 * \sqrt{2*b}[/tex]

[tex]\sqrt{72a^8b^5} = 6a^4b^2 \sqrt{2b}[/tex]

X Squared - 2x - 24 = 0

Answers

x = -4 or x = 6
i hope this helped :)))

Answer:

x=−4 or x=6

Step-by-step explanation:

A circular park of radius 20m is situated in a colony. Three boys Ankur, Syed and David are sitting at equal distance on its boundary each having a toy telephone in his hands to talk each other.name the type of triangle asd formed

Find the length of AM

Find the length of OM

Find the length of the string of each person

Answers

Answer:

The triangle formed is Equilateral triangle.

I have taken Perpendicular = P ( you can say M)

√400 - x²  = OP (OM)

√3 x = AP (AM)

The length of the string of each person = 20√3 m

Step-by-step explanation:

As given , circular park with radius 20m

Let , Ankur sit on boundary point A

       Syed sit on boundary point S

       David sit on boundary point D

As given,

Ankur, Syed and David are sitting at equal distance on its boundary

⇒AS = AD = SD

Let AS = AD = SD = 2x

As the sides are equal

The triangle formed is Equilateral triangle.

Now,

Draw a perpendicular on the side SD

Let OP be the perpendicular

⇒SP = PD = [tex]\frac{1}{2}[/tex]SD = [tex]\frac{1}{2}. 2x = x[/tex]

So, we get

SP = x , PD = x

Now, Draw the line OS and OA

AS , we can see that ,

ΔOPS and ΔAPS are right angle triangle ,

So , apply Pythagoras theorem to ΔOPS and ΔAPS

In ΔOPS

OS² = OP² + PS²

⇒20² = OP² + x²

⇒400 - x² = OP²

⇒√400 - x²  = OP

Now,

In ΔAPS

AS² = AP² + PS²

⇒(2x)² = AP² + x²

⇒4x² - x² = AP²

⇒√3x²  = AP

⇒√3 x = AP

Now,

We can see that,

AP = AO + OP

⇒√3 x  = 20 + √400 - x²

⇒√3 x  - 20 + = √400 - x²

Squaring both side

⇒(√3 x  - 20 )²= (√400 - x²)²

⇒3x² + 400 - 40√3 x = 400 - x²

⇒3x² + x² =  40√3 x

⇒4x² = 40√3 x

⇒x = 10√3

∴ we get

AS = SD = AD = 2(10√3) = 20√3 m

⇒The length of the string of each person = 20√3 m

You do not need to show all of your work for this one. But be sure that you can prove your answer is correct!

Answers

Quick answer :

[tex]\color{plum}m∠ABC = 71° [/tex]

Steps to derive the correct answer :Opposite angles of a parallelogram are equal.Angles on the same side are supplementary.

Which means :

m∠ABC = ∠ADC (opposite angles of a parallelogram)

m∠ABC :

= 37° + 34°

= 71°

Thus, the measure of ∠ABC = 71°

Let us find the measures of the other angles as well :

m∠BCD + m∠ADC = 180°

m∠BCD + 71 = 180°

m∠BCD = 180 - 71

m∠BCD = 109°

Thus, the measure of∠BCD = 109°

m∠BCD = ∠BAD (opposite angles of a parallelogram)

m∠BAD = 109°

Thus, the measure of ∠BAD = 109°

Therefore, m∠ABC = 71°

Answer:

109°

Step-by-step explanation:

Given isosceles trapezoid AB = CD

Angles B and C are congruent and angles A and D are congruent.

A and B, as well as C and D sum to 180 as supplementary angles, therefore:

m∠ABC = 180° - ∠A = 180 - ∠D = 180° - (34°+37°) = 180° - 71° = 109°

Enter an equation in point-slope form for the line.
Slope is 8 and (-7, -1) is on the line.
The equation of the line in point slope form is:

Answers

Answer:

y + 1 = 8 (x + 7)

Step-by-step explanation:

point slope form is

y - y1 = m (x - x1)

So replace the y1 with the y point, and the x1 with the x point

y - (-1) = m (x - (-7) )

then replace the m with the slope

y - (-1) = 8 (x - (-7) )

now solve

y + 1 = 8 (x + 7)

A local charity is selling seats to a baseball game. Seats cost $16 each, and snacks cost an additional $4
each. The charity needs to raise $160 to consider this event a success.
Use the graph to approximate how many snacks the charity must sell if 5 seats are sold.

Answers

Step-by-step explanation:

16$ per seat

*5 seats                16 * 5 = 80

80$ for 5 seats

160$ - $80 = 80$

The remaining money is 80 dollars which need to be spent on snacks:

4$ per snack

80$ / by 4$ = 20 snacks

Work ✔:

20 snacks = 80$

5 seats = 80$                                  Charity Goal = 160$

80$ + 80$ = 160$  

Final answer:

The charity must sell 20 snacks to every five seats to reach the charity goal of 160$

Hope this Helps! :D

2.) Prime fact of 80 ?
Step by step please

Answers

1, 2, 4, 5, 8, 10, 16, 20, 40, 80. (Give brainliest plz)

PLEASE HELP!


|−1.25| + |2.5|

Answers

Explanation

-1.25+2.5=1.25

Answer:

1.25 is the answer .......

Step-by-step explanation:

hello will u be friend with me

In the equation y = mx + b, the "b" is the y-intercept

True
False

Answers

Answer:

False

Hope my answer helps you pls mark me as brainiest :)

help me pls someone?

Answers

Go with b because earthquakes happened on land

On Monday, a local hamburger shop sold a combined total of 276 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Monday?

Answers

92 hamburgers were sold

Use the following information to answer the question. Bellei Extravecchio Balsamico Tradizionale is a very expensive brand of balsamic vinegar. A twelve ounce bottle typically costs two-hundred dollars or more. In a blind taste test, a group of food experts tasted three premium balsamic vinegars, with the most expensive one being Bellei Extravecchio Balsamico Tradizionale. When asked to pick the most expensive balsamic vinegar, 92 got it right and 76 got it wrong. Calculate the observed value of the chi-square statistic. Round to the nearest hundredth.

Answers

Answer:

The observed value of the chi-square statistic is 34.71

Step-by-step explanation:

Given the data in the question';

Calculate the observed value of the chi-square statistic

The chi-square statistic will be;

∑[tex]_{i}[/tex][ ( O[tex]_{i}[/tex] - E[tex]_{i}[/tex])² / E[tex]_{i}[/tex] ]

here O[tex]_{i}[/tex] is observed frequency of [tex]_{i}[/tex]th class

E[tex]_{i}[/tex] is expected frequency of [tex]_{i}[/tex]th class

[tex]_{i}[/tex]  = 1, 2 which denote the class of food experts who guess correctly and who didn't guess correctly

so  

∈[tex]_{i}[/tex] = n × probability of not guessing correctly = 168 × 2/3 = 112

∈1 = n × probability of guessing correctly 168 × 1/3  = 56

so

∑[tex]_{i}[/tex][ ( O[tex]_{i}[/tex] - E[tex]_{i}[/tex])² / E[tex]_{i}[/tex] ] = [ ( 92 - 56)² / 56 ] + [ ( 76 - 112)² / 112 ]

= 1296/56 + 1296/112

= 23.14 + 11.57

= 34.71

Therefore, the observed value of the chi-square statistic is 34.71

A 270 inch board is cut into two pieces one piece is 4 times the length of the other, find the length of the shorter piece

Answers

Answer:

54 inches

Step-by-step explanation:

let 4x = the bigger piece

let x = the smaller one

4x + x = 270

5x = 270

x = 54

Answer:

54 inches

Step-by-step explanation:

x + 4x = 270

5x = 270

x = 54 (shorter piece)

4x = 216 (longer piece)

Simon makes a model of a boat, using a scale of 1:30
If the model has a height of 40 cm, find the height of the real boat.

give your answers in metres

Answers

Answer:

12 meters

Step-by-step explanation:

30 times 40 = 1200

100 cm in a meter

1200/100= 12

Poor Milhouse is hopelessly in love with Lisa. Unfortunately for Milhouse, Lisa does not feel the same way. However, Milhouse remains hopeful, since on any given day independently there is a 6% chance that Lisa smiles at him. (Assume a month has 30 days for this problem.) What is the probability that Milhouse goes longer than a month without a smile from Lisa

Answers

Answer:

15.6%

Step-by-step explanation:

Since each day there is a 6% chance that Lisa smiles at him then that means that each day there is a 94% chance that Lisa does not smile at him. To find the probability of Milhouse going longer than a month (30 days) without a smile from Lisa we need to multiply this percentage in decimal form for every day of the month. This can be solved easily by putting 94% to the 30th power which would be the same, but first, we need to turn it into a decimal...

94% / 100 = 0.94

[tex]0.94^{30}[/tex] = 0.156

Now we can turn this decimal into a percentage by multiplying by 100

0.156 * 100 = 15.6%

Finally, we can see that the probability that Milhouse goes longer than a month without a smile from Lisa is 15.6%

Using the binomial distribution, it is found that there is a 0.1563 = 15.63% probability that Milhouse goes longer than a month without a smile from Lisa.

For each day, there are only two possible outcomes, either Lisa smiles at him, or she does not. The probability that she smiles at him on day is independent of any other day, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.

In this problem:

On any given day independently there is a 6% chance that Lisa smiles at him, hence, [tex]p = 0.06[/tex].Considering a 30 day month, we have that [tex]n = 30[/tex].

The probability that Milhouse goes longer than a month without a smile from Lisa is the probability of no smiles during 30 days, that is, P(X = 0), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{30,0}.(0.06)^{0}.(0.94)^{30} = 0.1563[/tex]

0.1563 = 15.63% probability that Milhouse goes longer than a month without a smile from Lisa.

To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377

mr chowdhary purchased a house for rs 6.1 lakh and spent 30000 on its repairs. he then sold it rs 8 lakh. find his gain percent​

Answers

Given:

Purchasing price = 6.1 lakh

Amount spent of repair = 30000

Selling price = 8 lakh

To find:

The gain percentage.

Solution:

We have,

Purchasing price = 6.1 lakh

Amount spent of repair = 30000 = 0.3 lakh

So, total cost price is

[tex]C.P.=6.1+0.3[/tex]

[tex]C.P.=6.4[/tex]

The total cost price is 6.4.

Selling price(S.P.) = 8 lakh

Now,

[tex]Gain\%=\dfrac{S.P.-C.P.}{C.P.}\times 100[/tex]

[tex]Gain\%=\dfrac{8.0-6.4}{6.4}\times 100[/tex]

[tex]Gain\%=\dfrac{1.6}{6.4}\times 100[/tex]

[tex]Gain\%=\dfrac{1}{4}\times 100[/tex]

[tex]Gain\%=25\%[/tex]

Therefore, the gain percent is 25%.

Estimate the value of 50.
O A. between 5 and 6
O B. between 6 and 7
C. between 7 and 8
<
D. between 8 and 9
PLEASE HELPP

Answers

Answer: c

Step-by-step explanation: because 7 squared is 49 and 8 squared is 64

nvm i read the question wrong

Step-by-step explanation:

the person above is correct

Don Trastmi is a respected investment consultant, but with a bit of a pessimistic attitude. He always projects correctly when the stock market goes down, but he is right only 6 out of 10 times when the market goes up. Don projects that next week the market will go up. What is the probability that the market will indeed go up

Answers

Answer:

The answer is "[tex]\bold{\frac{6}{10}}[/tex]"

Step-by-step explanation:

[tex]\to p(\frac{\text{Market is falling}}{\text{The expected demand is fall Don}}) =1\\\\\to p(\frac{\text{Market is falling}}{\text{The expected demand is rising Don}}) =0.6[/tex]

That's why the answer is [tex]\to \frac{6}{10}[/tex]

Haley draws a picture to show 8 / 2 which picture could be Haley's

Answers

Answer:

..   ..

..   ..

Step-by-step explanation:

8/2=4

whats it the anwser for this 27 + y < 10

Answers

Answer:

Simplifying

27 + y = 10

Solving

27 + y = 10

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-27' to each side of the equation.

27 + -27 + y = 10 + -27

Combine like terms: 27 + -27 = 0

0 + y = 10 + -27

y = 10 + -27

Combine like terms: 10 + -27 = -17

y = -17

Simplifying

y = -17

Step-by-step explanation:

Solve the system of equations

Answers

D= 250
R= 584
If have any problem, tell me^_^

Please help, will make brainliest

Answers

Answer/Step-by-step explanation:

1. Sin A = opp/hyp

Opp = 3

Hyp = 5

[tex] sin(A) = \frac{3}{5} [/tex] (substitution)

[tex] sin(A) = 0.6 [/tex]

2. Sin B = opp/hyp

Opp = 4

Hyp = 5

[tex] sin(B) = \frac{4}{5} [/tex] (substitution)

[tex] sin(B) = 0.8 [/tex]

3. Cos Q = adjacent/hypotenuse

Adjacent = 12

Hypotenuse = 13

[tex] cos(Q) = \frac{12}{13} [/tex] (substitution)

[tex] cos(Q) = 0.9231 [/tex] (4 decimal places)

4. Cos S = adjacent/hypotenuse

Adjacent = 5

Hypotenuse = 13

[tex] cos(S) = \frac{5}{13} [/tex] (substitution)

[tex] cos(S) = 0.3846 [/tex] (4 decimal places)

(+12) - (-12) =




Resultado, porque, operación completa, 10 puntos

Answers

24 because the - cancel eachother out.
Other Questions
Another name for a ruler that is a tyrant is:czarpresidentdespotrajah FIRST TO ANSWER GETS A BRAINLEIST What is 38 percent of 10 oranges Prompt:The Medieval Period within Europe led to an increase in knowledge and learning, especially in relation to scholasticism. How does this methodology of learning compare to movements, such as Confucianism and Sufism? Lastly, how does scholasticism and the rise of universities foreshadow later changes in thinking in Europe? What percent of an hour is `24` minutes? PLEASE HELP ASAP I WILL TRY TO AWARD BRAINLYEST Ya 'll I asked goo.gle to se. nd me some.where and I got the s.outh atla.ntic ocean 15. Challenge! Find the surface area of the figure below. Could someone answer and explain. Will mark the brainliest What is the probability of the compound event of spinning a 3 on a 5 number spinner and landing on tails with a coin. This is 10 questions please answer. 1.Write the ratio as a fraction in the simplest form 15 girls to 6 boys. 2.Write The ratio as a fraction in simplest form 24 players: 3 teams.3. Write The ratio as a fraction in simplest fraction form 48 worksheets: 12 students.4. Tell whether the ratios form a proportion 4/7 the 4 is on top of the 7 24/35 the 24 is on top of the 35. 5. Tell whether the ratios form a proportion 11/12 11 top of the 12 33/36 33 on top of the 36. 6. 8/24 8 on top of 24 5/15 5 on top of the 15. 7.3/7 3 is on top of the 7 12/21 12 top of the 21 8. Tell whether the two rates form a proportion 25 cars in 5 days; 60 cars in 12 days.9.14 books in 2 boxes; 20 books in 3 boxes.10.On a monday you swim 12 laps in 30 minutes. On tuesday you swim 15 laps in 45 minutes are these rates porportional? Explain. Cost of goods manufactured during the year is $240,000, and work in process inventory on December 31 is $50,000. Work in process inventory during the year decreased by 60%. Total manufacturing costs incurred are 14. Each of the following is an example of an interface EXCEPT.. A. a stylus B. a mouse C. a screen D. a keyboard 2. A student tested the pH of an unknown solution and the readingwas 13.5. Which statement is true?A. The solution is a strong base.B. The solution is a strong acid.C. The solution is a weak base.D. The solution is a weak acid. How was the rebellion in Spain different from that in Italy?The new Spanish ruler seized power without popular support from citizens.Spain was not in economic or social turmoil when the rebellion occurred.The Spanish rebellion did not result in an authoritarian government.Spains military leaders did not fully support the new Spanish ruler. What does this quote mean "if you eat too much truth at once you may die of the truth"? Angela purchased a storage cube with a volume of 10 cubic feet . She wants to put it on a shelf that is 24 inches tall. Will the cube fit on the shelf? Are there certain symbols that are so widely cherished and understood to convey certain meanings that the government can regulate their use? what is the point slope form of (2,4), m=1/2 Why is glass NOT a crystal? A its is a solidB it is transparentC it is not a crystallineD it fractures