4(4a-2b+5)+2(2a-5)=?

Answers

Answer 1

Answer:

=20a-8b+10

Step-by-step explanation:

4(4a-2b+5)+2(2a-5)

0pen parenthesis

=16a-8b+20+4a-10

Collect like terms

=16a+4a-8b+20-10

=20a-8b+10

Factorise

=2(10a-4b+5)


Related Questions

8 Use prime factorization to find the LCM of 20 and 44,
O 64
0 220
880

Answers

Answer:

Th answer is 220

Step-by-step explanation:

The Marauders foosball team is improving with each game. The first game they scored no points, but the second game they scored some goals. In their third game they scored 8 more points than the second. Now in their last game they scored three times as many points as their third. Altogether they scored 117 points!!! How many points did the Marauders score in the third game?

Answers

Answer:

25 points.

Step-by-step explanation:

In the second game, you can say the Foosball team scored x points.

In their third game, they would have scored x points, plus 8.

In the last game, they would have scored x points, plus 8, then multiply the WHOLE THING by 3.

We would get the following equation...

x + (x + 8) + 3(x + 8) = 117

x + x + 3x + 8 + 24 = 117

5x + 32 = 117

5x = 85

x = 17

So, the Marauders scored 0 points in the first game. In the second game, they scored 17 points. In the third, they scored 17 + 8 = 25 points. In the last, they scored 25 * 3 = 75 points. Altogether, that's 117 points!!

Hope this helps!

Answer:

.

Step-by-step explanation:

Rectangle A has a width of 3 inches and a length of 5 inches. Part A Rectangle A has the same perimeter as Rectangle B. If its width is 4 inches, what is its length? Enter your answer in the box. Rectangle B has a width of 4 inches and a length of inches

Answers

Answer:

Rectangle B has a length of 4 inches.

Step-by-step explanation:

Rectangle A has a width of 3 inches and a length of 5 inches.

Let us find its perimeter:

Perimeter = 2(L + W)

where L = length

W = width

Its perimeter is therefore:

P = 2(5 + 3)

P = 2 * 8 = 16 inches

Rectangle B has the same perimeter as Rectangle A. Let us find the length of B.

Its width is 4 inches, therefore, perimeter is:

P = 2(L + W)

16 = 2(L + 4)

16 = 2L + 8

16 - 8 = 2L

8 = 2L

=> L = 8 / 2 = 4 inches

Rectangle B has a length of 4 inches.

Asap Help please THANK YOU!!

Answers

Answer:

≈451.37 cm³

Step-by-step explanation:

Since the diameter of the can is 6, the radius is 3.

Old can height: 12

Old can base radius: 3

Old can volume: 339.12 cm³

New can height: 12×1.1=13.2

New can base radius: 3×1.1=3.3

New can volume: 13.2×3.14×3.3²=13.2×3.14×10.89=451.36872 cm³

Trig With Picture ASAP

Answers

Answer:

18

Step-by-step explanation:

V=a^3

a=∛1000=10

volume=1000 cm^3=10*10*10

one side =10 cm

to find the measure of AB (the diagonal)=10√3 =17.32

the smallest dispenser has to be greater than 17.32

the smallest amount is 18

The answer is 18 ^^^^

y
10,6)
(-a, 0)
(0,0)
(a 0)
(0-5)
What is the perimeter of the polygon in the diagram?

Answers

Answer:

I think its O-5 I am not sure

work out the area of this quarter circle take pie to be 3.142 radius in image attached thanks (:

Answers

Answer:

38.4895 cm^2

Solution,

Radius(R)= 7 cm

Area of quarter circle:

[tex] \frac{\pi \: {r}^{2} }{4} [/tex]

[tex] = \frac{3.142 \times 49}{4} [/tex]

[tex] = 38.4895 \: {cm}^{2} [/tex]

Hope this helps...

Good luck on your assignment..

the answer is 38.4895cm^2

Circle C is inscribed in triangle QSU. Circle C is inscribed in triangle Q S U. Points R, T, and V of the circle are on the sides of the triangle. Point R is on side Q S, point T is on side S U, and point V is on side Q U. The length of Q R is 10, the length of R S is 2 x, the length of S T is x + 3, and the length of T U is 4. What is the perimeter of triangle QSU? 3 units 16 units 30 units 40 units

Answers

Answer:

I can confirm the answer is:

D. 40 units

Step-by-step explanation:

I just took the test on edge and got it right!

The perimeter of the Δ QSU is given as 40 units. (Option D). See explanation below.

What is the perimeter of Δ QSU?

We can derive the perimeter by stating:

2x = x + 3 ⇒ x = 3

This is because Δ RSC ≅ Δ TSC

RS = 2 x 3 = 6 = ST

This is because ΔQRC ≅ ΔQVC

TV = VU = 4; we know this because
ΔCVU ≅ Δ CTU

Thus

QR = QV = 10

CΔQSU = 10 + 6 + 10 +14

= 40 Units.

Learn more about perimeter of triangles at:
https://brainly.com/question/24382052
#SPJ9

What is the equation, in slope-intercept form, of the line that is perpendicular to the line
y-4=‐2/3(x-6) and passes through the point (-2, -2)?
y=-x-10
y=-2x19
y=x-1
y=x+1​

Answers

Answer:

y=3/2x+1

Step-by-step explanation:

y-4= -⅔(x-6)

y-4=-⅔x+4

y=-⅔x+4+4

(equation of line 1) y= -⅔x+8 gradient= -⅔

(line 2)gradient=3/2

note* the gradients of perpendicular lines multiplied result to -1

gradient=y²-y²

x²-x¹

3 =y+2

2. x+2

multiply both sides by 2(x+2)to remove the denominators

3(x+2)=2(y+2)

3x+6=2y+4

3x+6-4=2y

3x+2=2y

divide all sides by 2

3/2x+1=y

y=3/2x+1

V2 is in between what two numbers??

Answers

Answer:

sqrt of 2 is between 1 and 2

The square root of 2 is in between the square of one and the square of 2.

Which of these statements BEST describes the relationship between college and health and wellnes
professionals?
A. A more advanced degree usually mean a higher salary.
B. A more advanced degree usually mean a lower salary.
C. A less advanced degree usually mean a higher salary.
D. There is no relationship between college degree and salary.

Answers

Answer:

which of these statements BEST describes the relationship between college and health and wellness D There is no relationship between college degree and salary.

Suppose that Upper X has a discrete uniform distribution f left-parenthesis x right-parenthesis equals StartLayout left-brace1st Row 1st Column 1 divided by 3, 2nd Column x equals 1,2,3 2nd Row 1st Column 0, 2nd Column otherwise EndLayout A random sample of n equals 39 is selected from this population. Find the probability that the sample mean is greater than 2.1 but less than 2.6. Express the final answer to four decimal places (e.g. 0.9876). The probability is

Answers

Answer:

The probability that the sample mean is greater than 2.1 but less than 2.6 is 0.2236.

Step-by-step explanation:

The random variable X follows a discrete uniform distribution.

The probability mass function of X is:

[tex]f(x)=\left \{ {{\frac{1}{3}};\ x=1,2,3 \atop {0;\ \text{otherwise}}} \right.[/tex]

Then,

a = 1

b = 3

The mean and standard deviation of the random variable X are:

[tex]\mu=\frac{b+a}{2}=\frac{3+1}{2}=2\\\\\sigma=\sqrt{\frac{(b-a+1)^{2}-1}{12}}=\sqrt{\frac{(3-1+1)^{2}-1}{12}}=0.8165[/tex]

The sample size is, n = 39.

According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.  

Then, the mean of the sample means is given by,

[tex]\mu_{\bar x}=\mu[/tex]

And the standard deviation of the sample means is given by,

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]

As n = 39 > 30, the sampling distribution of sample mean of X will follow a Normal distribution approximately.

Compute the probability that the sample mean is greater than 2.1 but less than 2.6 as follows:

[tex]P(2.1<\bar X<2.6)=P(\frac{2.1-2.0}{0.8165/\sqrt{39}}<\frac{\bar X-\mu_{\bar x}}{\sigma/\sqrt{n}}<\frac{2.6-2.0}{0.8165/\sqrt{39}})[/tex]

                          [tex]=P(0.76<Z<4.59)\\\\=P(Z<4.59)-P(Z<0.76)\\\\=1-0.77637\\\\=0.22363\\\\\approx 0.2236[/tex]

Thus, the probability that the sample mean is greater than 2.1 but less than 2.6 is 0.2236.

8 plus w/4 when w = 16

Answers

Answer:12

Step-by-step explanation: first you replace w for 16 and divide that by 4 because of GEMDAS or PEMDAS.. Your left with 4 now add 4 plus 8 which is 12

6.12)
Jennifer had some money in her
pocket. She spent $1.35, which left
her with $2.30. Which equation could
Jennifer use to find m, the original
amount of money she had in her
pocket?
A m + 2.30 = 1.35
B m - 1.35 = 2.30
C 2.30 = 1.35 – m
D m = 2.30 x 1.35

Answers

Answer:

B

Step-by-step explanation:

m-1.35=2.30

you would add -1.35 to the other side

so then you have

m=3.65

which is how much money she had to begin with

Answer:

B

Step-by-step explanation:

m - 1.35 = 2.30

The annual sales of romance novels follow the normal distribution. However, the mean and the standard deviation are unknown. Forty percent of the time, sales are more than 470,000, and 10% of the time, sales are more than 500,000. What are the mean and the standard deviation?

Answers

Answer:

Mean(m) = 462,536

sd = 29,268.29

Step-by-step explanation:

Given the following:

P(sales > 470,000) = 40% = 0.4

P(sales > 500,000) = 10% = 0.1

Using the z - table, we can locate the corresponding P values

Z = 1 - p = 1 - 0.4 = 0.6; 1 - 0.1 = 0.9

Locating the closest value to 0.6 on the z table ;

(0.25 + 0.26) / 2 = 0.255

Locating the closest value to 0.9 on the z table ;

Z = 1.28

Recall;

z =( x - m) / sd

Where m = mean ; sd = standard deviation

First condition:

0.255 = (470,000 - m) / sd

0.255 × sd = (470,000 - m) - - - - - (1)

1.28 = (500,000 - m) / sd

1.28 × sd = (500,000 - m) - - - - (2)

We can solve for one of the unknowns y subtracting equation (1) FROM 2

1.28sd - 0.255sd = (500,000 - m) - (470000 - m)

1.025sd =500,000 - m - 470000 + m

1.025sd = 30,000

sd = 29,268.29

Substituting the value od SD into (1) or (2)

1.28 × 29,268.29 = 500000 - m

37463.41 = 50000 - m

m = 50000 - 37463.41

Mean(m) = 462,536

The population of a large city can be calculated using the function . What can you say about the rate of change from year 1 to year 2 compared to the rate of change from year 9 to year 10

Answers

Answer:

The rate of change will be the same for all years.

Step-by-step explanation:

As it is mentioned in the question, that the rate of change is 7%.

And as we know that

= I (1 + R)^T

where

I = Initial amount

R = Rate of growth,

And T = Time.

So in the given case, the rate is 0.07, or 7% while on the other hand the growth RATE remains constant and the growing amount would be increased each year.

Therefore the rate of change would be the same for all the year

by what least number should 2048 be multiplied to get a perfect cube

Answers

Answer:

2

Step-by-step explanation:

You should multiply by 2, to make it perfect square & it's square root is 64

Answer:

2048 should be multiplied by 2

Step-by-step explanation:

2048 should be multiplied by 2, to make it perfect square & it's square root is 64.

Circle F is congruent to circle j, and < EFD ≈

Answers

Hey there, please provide a picture of the diagram so we can better assist you

Answer:

80°

Step-by-step explanation:

Simplify a-{5b-[a-93b-2c)+c-(a-2b-c)]}

Answers

Awnser:      3a-100b-4c

Thats the answer! Hope i helped.

Answer:

that would be a-6b+4c

Step-by-step explanation:

HELP!!!! circle is centered at the point (5, -4) and passes through the point (-3, 2). The equation of this circle is (x +___ )2 + (y +___- )2 = ____

Answers

Answer:

  (x -5)^2 +(y +4)^2 = 100

Step-by-step explanation:

The equation of a circle with center (h, k) that passes through point (a, b) is ...

 (x -h)^2 +(y -k)^2 = (a -h)^2 +(b -k)^2

For your given points, the equation is ...

  (x -5)^2 +(y +4)^2 = (-3-5)^2 +(2+4)^2 = 64 +36

  (x -5)^2 +(y +4)^2 = 100

Find the surface area of a sphere with radius r=5 in.

Answers

Answer:

314.16 in²

Step-by-step explanation:

The surface area of a sphere has a formula.

4πr²

Where r is the radius of the circle.

4π × 5²

4π  × 25

100π

= 314.159265

Answer:

314.16

Step-by-step explanation:

formula=4*pi*r^2

HEEEEELLLLPPPPPPPPP PLEASE

Answers

Answer:

939.41711

Step-by-step explanation:

using the pythagorean theorem we can find the hypotenuse of a right angle triangle by using a^2 +b^2 = c^2

a and b being the legs of the triangle.

in this case a = 400

and b = 850

square both numbers:

160000 + 722500 = 882500

√882500 = 939.41711

The slope-intercept form of the equation of a line that passes through point (–3, 8) is y =- 2 /3x +8 . What is the point-slope form of the equation for this line? y – 3 = –2/3 (x + 8) y + 3 = -2/3 (x - 8) y + 8 = - 2/3 (x - 3) y - 8 = -2/3 (x + 3 )

Answers

Answer:

y - 8 = - [tex]\frac{2}{3}[/tex](x + 3)

Step-by-step explanation:

y = - [tex]\frac{2}{3}[/tex] x + 8 ← is in slope- intercept form with slope m = - [tex]\frac{2}{3}[/tex]

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - [tex]\frac{2}{3}[/tex] and (a, b) = (- 3, 8), thus

y - 8 = - [tex]\frac{2}{3}[/tex] (x - (- 3)), that is

y - 8 = - [tex]\frac{2}{3}[/tex] (x + 3)

ILL MARK BRAINLIEST In independent random samples of 10 men and 10 women in a coed basketball league, the numbers of points scored per season are given by the back-to-back stemplot below:

Part A: Describe the shape of each data set.

Part B: Michaela analyzed the data and stated that the better measure of center for the women is the mean. Is Michaela correct? Explain your reasoning.

Part C: Michaela decided there are no outliers in the women's data set. Is she correct? Justify your answer mathematically.

Answers

Answer:

Step-by-step explanation:

Hello!

a)

To compare both datasets I've made a box plot for them.

The yellow one belongs to the points scored by the men and the green one is for the points scored by the women.

Women: The box seems symmetrical, the median and the mean (black square) are almost the same. The whiskers are almost the same length, you could say that in general the points scored by the women have a symmetrical distribution.

Men: The box looks a little skewed to the right, the median is closer to the 1st quantile and the mean is greater than the median. The whiskers are the same length, in general the distribution seems almost symmetrical.

b)

As you can see in the box plot  the median and mean of the points scored by the women are almost the same. Using the data I've calculated both values:

Me= 24.50

X[bar]= 23.80

The median divides the sample in halves (50-50),  it shows you where the middle of the distribution is.

The average shows you the value that centers the distribution, meaning, it is the value around which you'll find most of the data set. It summarizes best the sample information and therefore is a better measure of center.

c.

As you can see in the box plots, there are no outliers in both distributions.

An outlier is an observation that is significantly distant from the rest of the data set. They usually represent experimental errors (such as a measurement) or atypical observations. Some statistical measurements, such as the sample mean, are severely affected by this type of values and their presence tends to cause misleading results on a statistical analysis.

Considering the 1st quartile (Q₁), the 3rd quartile (Q₃) and the interquartile range IQR, any value X is considered an outlier if:

X < Q₁ - 1.5 IQR

X > Q₃ + 1.5 IQR

Or extreme outliers if:

X < Q₁ - 3 IQR

X > Q₃ + 3 IQR

For the women data set:

Q₁= 17; Q₃= 30; IQR= 30 - 17= 13

Lower outliers: X < Q₁ - 1.5 IQR= 17-1.5*13= -2.5 ⇒ The minimum value recorded is 03, so there are no outliers.

Upper outliers: X > Q₃ + 3 IQR= 30 + 1.5*13= 49.5 ⇒ The maximum value registered is 41, so there are no outliers.

I hope this helps!

In the picture down below

Answers

Answer: Choice D.  [tex]f^{-1}(x) = \frac{6x+2}{3}[/tex]

Work Shown:

The idea is that you replace f(x) with y, swap x and y, then solve for y to get the inverse.

[tex]f(x) = \frac{3x-2}{6}\\\\y = \frac{3x-2}{6}\\\\x = \frac{3y-2}{6}\\\\6x = 3y-2\\\\3y-2 = 6x\\\\3y = 6x+2\\\\y = \frac{6x+2}{3}\\\\f^{-1}(x) = \frac{6x+2}{3}\\\\[/tex]

On a unit circle, the vertical distance from the x-axis to a point on the perimeter of the circle is twice the horizontal distance from the y-axis to the same point.

Answers

Answer:

(2√5)/5

Explanation:

CHECK THE ATTACHMENT BELOW FOR DETAILED EXPLATION

From the question we can deduced that the vertical distance from the x-axis to a point on the perimeter of the circle is twice the horizontal distance, we can say that the y-coordinate, is twice of the horizontal, then let call the horizontal "y", the vertical would be 2y.

from the attachment the question on the unit circle is interpreted using a figure,then, hypotenuse was first calculated

Answer:

C, 2 sqrt 5 / 5

Increase £426 by 34% Give your answer rounded to 2 DP.

Answers

Answer:.£570.84

Step-by-step explanation:

426 x 1.34 = 570.84

Answer:

£426 * 1.34 = £570.84

Step-by-step explanation:

write the unit digit of denominator of (x+y)*z where x = -4/3 y =1/2 z= -7/5 plz help

Answers

Answer:

6

Step-by-step explanation:

(x+y)*z= (-4/3+1/2)*(-7/5)= -5/6* (-7/5)= 35/30=7/6

Denominator is 6.

A drawer contains a dozen each of red, blue, green, and white socks, all unmatched. Laura takes socks out at random in the dark. How many socks must Laura take out to be sure she has two pairs of white socks?

Answers

Answer:

8

Step-by-step explanation:

The probability of picking out a certain colour = 12/48 = 1/4

So, this means that every 4 socks you pick out you can be sure of having one of each colour. If you need to find a pair, then you pick out 8.

Hope this helps

PLEASE HELP ME AND MY DAUGHTER

Answers

Answer:

0.85

Step-by-step explanation:

The interquartile range of any given data set is simply the difference between the Q3 and the Q1, i.e. Q3 - Q1.

Let's find the Q3 and the Q1 of the given data set: 30.8, 29.9, 30.0, 31.0, 30.1, 30.5, 30.7, 31.0

First, let's order the data given in increasing order from small to the largest value:

29.9, 30.0, 30.1, 30.5, 30.7, 30.8, 31.0, 31.0

Let's find the median:

Since the number of data set given is even number (8), our median would be the average of the 4th and 5th data value = (30.5+30.7) ÷ 2 = 30.6

Let's find Q3 and Q1

Q1 is the middle value from the median point to our left = (30.0+30.1) ÷ 2 = 30.05

Q3 is the middle value from the median point to our right = (30.8+31.0)÷2 = 30.9

Interquartile Range = 30.9 - 30.05 = 0.85

Other Questions
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Based on the passage, which word best describes Tok-chae? 1 loyal 2 lazy 3 stubborn 4 evasive How many whole numbers between 99 and 999 contain the digit '1'? A(n) __________ approach/culture means that rewards vary little from person to person and have little to do with individual performance. The Food and Drug Administration (FDA) regulates thedistribution of Gensol. The FDA is a federal executiveagency. Because it has rulemaking authority and mayimpose fines against businesses in violation, it is knownas a:non-regulatory agency.regulatory agency.rulemaking agency.creation agency. work out the volume of a frustum please help me ill give u brainleist An oasis is an isolatedfertilearea in a desert that usually has a spring, well, or other source of water.In paragraph 3, another word forfertileisA)luxury.B)federal.C)productive.D)independent. someone help with my math High-Low Cost Estimation and Profit Planning Comparative 2007 and 2008 income statements for Dakota Products Inc. follow: DAKOTA PRODUCTS INC. Comparative Income Statements For Years Ending December 31, 2007 and 2008 2007 2008 Unit sales 5,000 8,000 Sales revenue $60,000 $96,000 Expenses (64,000) (76,000) Profit (loss) $(4,000) $20,000 (a) Determine the break-even point in units. Answer units (b) Determine the unit sales volume required to earn a profit of $5,000. Answer Transcendentalists believe that society and its institutions-particularly organized religion and political parties-corrupt thepurity of the individual. They have faith that people are at their best when truly "self-reliant" and independent. These themes are expolored in the works of the authors that you have read in this unit. Write an essay to analyze the themes in two or more works from this unit. Discuss how the themes reflect transcendentalist views. Be sure to cite evidence from the text to support your analysisPLEASE HELP ITS URGENT Write the equation of a line that is perpendicular to y=-2x/7+9 and that passes through the point (4,6) 20 POINTS!!!Marisol recorded the height (in centimeters) of a pea plant over a 10-dayperiod for a science experiment. Which equation is the best model of the data? Which of the following describes the location of the opposite of the number that R represents on this line? Answer Options At a distance of 4 tick marks above 0 At a distance of 4 tick marks below 0 At a distance of 8 tick marks below 0 At a distance of 8 tick marks above 0 Contribution Margin Concepts The following information is taken from the 2017 records of Hendrix's Guitar Center. Fixed Variable Total Sales $2,250,000 Costs Goods sold 1,012,500 Labor $480,000 180,000 Supplies 6,000 15,000 Utilities 36,000 39,000 Rent 72,000 0 Advertising 18,000 73,500 Miscellaneous 18,000 30,000 Total costs $630,000 $1,350,000 (1,980,000) Net income $ 270,000 Required (a.) Determine the annual break-even dollar sales volume. Contribution margin ratio: Answer Annual break-even dollar sales volumes: $Answer (b.) Determine the current margin of safety in dollars. $Answer (d.) What is the annual break-even dollar sales volume if management makes a decision that increases fixed costs by $100,000? $Answer Jake and Latasha Lalime live in Swarthmore, PA. Latasha's father, Musashi, lives in Sweden. For each of the following transactions that occur in their lives, identify whether it is included in the calculation of U.S. GDP as part of consumption (C), investment (I), government purchases (G), exports (X), or imports (M). A. Latasha gets a new video camera made in the United States. B. Latasha's father in Sweden orders a bottle of Vermont maple syrup from the producer's website. C. Jake's employer upgrades all of its computer systems using U.S.-made parts. D. The state of Pennsylvania repaves highway PA 320, which goes through the center of Swarthmore. E. Jake buys a bottle of Italian wine. Read Edgar Allan Poes The Pit and the Pendulum You may have read this story in a lesson in the unit. If you did, take some time to review the story. If you have not read it, read it now. As you read the story, take notes on the following points: the circumstances of the narrators imprisonment the condition of the narrators prison the narrators reaction to his prison and torture historical references or allusions that appear in the story Clay's father has always wanted him to be a lawyer. He has encouraged Clay to get good grades, graduate college earlier than his peers, and work as hard as he can. Clay does not care about going to law school, but he does so to please his father. Clay is responding to __________. Plz help me out with these problems. Solve: 16x2 80 = 0 Round the answer to the nearest hundredth. x = 0.45 and x = 0.45 x = 2.24 and x = 2.24 x = 8.94 and x = 8.94 x = 9.80 and x = 9.80 If government regulators guarantee a natural monopolist that it will earn normal profits, then the monopolist will Group of answer choices