If the length of one base of a trapezoid is 44, the median is 36, and the other base is 2x + 10, find x.

Answers

Answer 1

Answer:

  9

Step-by-step explanation:

The median is the average of the base lengths. Where "b" is the length of the other base, we have ...

  36 = (44 +b)/2

  b = 72 -44 = 28

We are told this is the same as 2x+10, so we have ...

  28 = 2x +10

  18 = 2x . . . . . subtract 10

  9 = x . . . . . . . divide by 2

The value of x is 9.


Related Questions

What is the 25th term of this arithmetic sequence?
{8, 5, 2,-1,-4, ...}
Type the correct answer in the box. Use numerals instead of words.

Answers

Answer:

Continue the pattern 24 more times by multiplying 24 terms with 3 subtracted per term

24x3=72

subtract 72 to find the term

8-72=-64

Should be -64 but we will still continue the pattern to double check

8,5,2,-1,-4,-7,-10,-13,-16,-19,-22,-25,-28,-31,-34,-37,-40,-43,-46,-49,-52,-55,-58,-61,-64

-64 is the 25th term

Hope this helps

Step-by-step explanation:

Pls help me I give brainliest thank uu and can u do step by step

Answers

Answer:

A. 48,000

Step-by-step explanation:

60 x 20= 1200

1,200 x 40= 48,000

Plz mark brainliest .^.

Answer:

To find the volume you have to multiply all the number together in any order. The order doesn't matter.

Step-by-step explanation:

To find volume=

40*20= 800

then, 800*60= 48,000

since it's in cm and there are 3 numbers then it would be 48,000 cm cubed

In the diagram below, point P is circumscribed about quadrilateral ABCD. What is the value of x? (Pls answer I give lot of point)

Answers

Answer:

D. 50

Step-by-step explanation:

130+x=180

x=50

4. Kevin is using his scanner to make a smaller version of the school logo to put in the yearbook.
The original is 7 by 10 inches. The reduced image is 5.25 by 7.5 inches. What is the scale
factor of the dilation?
Math Accelerated . Chapter 11 Congruence Similarity and Transformations

How would I show my work?

Answers

Answer:

scale factor 2.5

Step-by-step explanation:

Part A - find the diameter of the circle?
Part B - Find the circumference of the circle ?

Answers

Answer:

A) 16 cm

B) 50.24 cm

Step-by-step explanation:

Part A:

The diameter is double the radius

The radius is half of the diameter

To work out the diameter you would simply multiply the radius of 8 cm by 2, this gives you 16 cm. This is because the radius is half of the length of the diameter.

1) Multiply 8 by 2.

[tex]8*2=16 cm[/tex]

Part B:

The formula for the circumference of a circle is : [tex]\pi *diameter[/tex]

To work out the Circumference you would multiply the diameter of 16 cm by pi, this gives you 50.24 cm. This is because if you were to substitute the value of the diameter into the formula you would get the same result.

1) Multiply pi by 16.

[tex]\pi*16=50.24[/tex]

Pi in this case is 3.14

what is the measure of angle A?

Answers

Answer:

A = 77.32

Step-by-step explanation:

sin theta = opp/ hypotenuse

sin A = 80/82

sin A = 40/41

Take  the inverse sin of each side

A = sin ^-1 (40/41)

A =77.31961651

To the nearest hundredth

A = 77.32

solve the system of equations

Answers

Answer:

r=idk

y=idk

Step-by-step explanation:

Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing!

Answers

Answer:

Step-by-step explanation:

B or c

A sculpture sits on a pedestal in the shape of a square prism. The side lengths of a base of the prism are 3 feet. The height of the prism is 4 feet. The museum director wants to cover all but the underside of the pedestal with foil that costs $0.22 per square foot. How much will the foil cost?

Answers

Answer:

Total cost of covering the pedestal is $12.54.

Step-by-step explanation:

The pedestal is a square prism so top and bottom are of square shape.

Hence, we have here length = width

We know that the Total Surface Area of a Prism is:

[tex]\text{Total Surface Area = } 2 (l\times w+ w \times h+ h \times l)[/tex]

Where l is length,

w is width and

h is height of prism

We know that here w = l = 3 feet

and h = 4 feet

Also, underside of pedestal is not to be covered.

The underside of pedestal is square type.

So,

[tex]\text{Required Total Surface Area = } l\times w+ 2\times w \times h+2\times h \times l[/tex]

[tex]\Rightarrow 3 \times 3 + 2 \times 3 \times 4 + 2 \times 3 \times 4\\\Rightarrow 9 + 24 + 24\\\Rightarrow 57\ ft^{2}[/tex]

Cost of cover per square foot = $ 0.22

Total cost of [tex]57\ ft^{2}[/tex]  [tex]\Rightarrow 0.22 \times 0.57 = \$12.54[/tex]

A firm produces two types of earphones per year: x thousand of type A and y thousand of type B. The cost function (in thousands of dollars) is given by
C(x,y)=110+80x+130y
If the selling price of type A is p and the selling price of type B is q, the price-demand equations are
p=120-3x+y
q=210+x-7y
Determine how many of each type of earphone should be produced per year to maximize profit? What should be the selling prices p and q? What is the maximum profit?

Answers

Answer:

9000 A and 7000 B should be producedp = 100, q = 170$350,000 is the maximum profit

Step-by-step explanation:

We assume that "p" and "q" are given in dollars, so that the profit function (in thousands of dollars) can be written:

  P = xp +yq -C(x, y)

Profit will be maximized when the partial derivatives of P with respect to x and y are both zero:

  ∂P/∂x = p +x(∂p/∂x) +y(∂q/∂x) -∂C/∂x = 0

  (120 -3x +y) +x(-3) +y(1) -80 = 0

  -6x +2y +40 = 0

  3x -y = 20 . . . . put in standard form

and ...

  ∂P/∂y = x(∂p/∂y) +q +y(∂q/∂y) -∂C/∂y = 0

  x(1) +(210 +x -7y) +y(-7) -(130) = 0

  2x -14y +80 = 0

  x -7y = -40 . . . . put in standard form

__

The solution to these simultaneous equations can be found a variety of ways. Using Cramer's Rule, we have ...

  x = ((-1)(-40) -(-7)(20))/(-1·1-(-7)(3)) = 180/20 = 9

  y = (20(1) -(-40)(3))/20 = 140/20 = 7

9000 type A and 7000 type B earphones should be produced.

__

The corresponding selling prices are ...

  p = 120 -3(9) +7 = 100

  q = 210 +9 -7(7) = 170

The selling prices should be ...

  p = $100, q = $170

__

The maximum profit is ...

  P = xp +yq -C(x, y) = (9)(100) +(7)(170) -(110 +80(9) +130(7))

  P = 9(100 -180) +7(170 -130) -110 = 180 +280 -110

  P = 350

The maximum profit is $350,000.

Express the null hypothesis and the alternative hypothesis in symbolic form. The owner of a football team claims that the average attendance at games is over 68,800, and he is therefore justified in moving the team to a city with a larger stadium. H0: μ > 68,800 H1: μ ≤ 68,800 H0: μ = 68,800 H1: μ < 68,800 H0: μ < 68,800 H1: μ ≥ 68,800 H0: μ ≤ 68,800 H1: μ > 68,800

Answers

Answer:

H0: μ ≤ 68,800

H1: μ > 68,800

Step-by-step explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (H1) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

For the case above;

The Null hypothesis is that the average attendance at games is less than or equal to 68,800.

H0: μ ≤ 68,800

The alternative hypothesis is that the average attendance at games is over 68,800.

H1: μ > 68,800

H₀: μ ≤ 68,800 H₁: μ > 68,800. Then the correct option is D.

What are null hypotheses and alternative hypotheses?

In null hypotheses, there is no relationship between the two phenomenons under the assumption, or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.

The Null hypothesis is that the average attendance at games is less than or equal to 68,800.

H₀: μ ≤ 68,800

The alternative hypothesis is that the average attendance at games is over 68,800.

H₁: μ > 68,800

Then the correct option is D.

More about the null hypotheses and alternative hypotheses link is given below.

https://brainly.com/question/9504281

#SPJ5

What is the area of this parallelogram

Answers

Answer:

27

Step-by-step explanation:

The area of this parallelogram is its base times height. 6x4.5 is 27.

Hope this helps! (please mark me brainliest)

Simplify (-2x^3)2•y•y^9

Answers

Answer: -4x^3 y^10
-2x^3 • 2 = 4 (because 2•2 is 4, they don’t share the same variable so you just multiply the base)
y^9 • y^1 (9+1=10)

-4x^3 y^10

Simplify (-2x^3)^2 •y•y^9       Answer 4x^6y^10

What is the mean of the probability distribution?

Answers

Answer:

2.0

Step-by-step explanation:

assuming this is from edge 2.0 is correct

Answer:

c

Step-by-step explanation:

A certain manufacturing company has the following data on quantities shipped and unit costs for each of its four products.

Products

Base-Period
Quantities (Year 1)

Mean Shipping Cost
per Unit ($)

Year 1

Year 5

A

1,500

10.50

15.90

B

5,000

16.25

33.00

C

6,500

12.20

18.40

D

2,500

20.00

35.50

Use the price data to compute a Paasche index for the shipping cost if year 5 quantities are 4,000, 3,000, 8,000, and 3,000 for products A, B, C, and D, respectively. (Round your answer to the nearest integer.)

I5 =

Answers

Answer:

Paasche's Index=  168.63= 169

Step-by-step explanation:

Products

Base-Period                                                    Current Period

    Quantities    Mean Shipping                    Quantities    Mean Shipping

     (Year 1)         Cost per Unit ($)                  (Year 5)  Cost per Unit ($)

A         1,500         10.50                         4000                 15.90

B         5,000      16.25                            3000                 33.00

C         6,500        12.20                          8000                  18.40

D          2,500      20.00                         3000                   35.50

Paasche's Index= ∑ pn.qn/∑po.qn* 100

Where pn is the price of the current year and qn is the quantity of the current year and po. is the price of the base year and qo. is the quantity of the base year.

Paasche's Index is the percentage ratio of the aggregate of given period prices weighted by the quantities sold or consumed in the given period to the aggregate of the base period prices weighted by the given period quantities.

Multiplying the current year prices with the current year quantities and the base year price with the current year quantities we get.

Product               pn.qn                      po.qn

A                         15.90* 4000         10.50* 4000

                          = 63600                    =42000

B                       33.00*3000           16.25 * 3000  

                           = 99000                    = 48750

C                      18.40* 8000          12.20 *8000

                            =147200                 =97600

D                     35.50* 3000        20.00*3000  

                          =106500              60,000        

∑                          416300                  248350      

Paasche's Index= ∑ pn.qn/∑po.qn= 416300/ 248350 *100  =  1.676=1.68= 168.63= 169

Solve: 3x
+ 4 = 5x - 4x - 8​

Answers

Answer:

3x =  - 18

Step-by-step explanation:

1. Simplify this equation in terms of what is already provided:

3x + 4 = 5x - 4x - 8 ⇒ 3x + 4 = x - 8

2. Now subtract 3x from either side, at the same time adding 8 to either side:   3x + 4 = x - 8 ⇒ 4 = -2x - 8 ⇒ 12 = -2x

3. Divide -2 on either side to isolate the x, and recieve it's value:

12 = -2x ⇒ x = 12/-2 ⇒ x = -6

4. The question demads for the value of 3x, so simply multiply the known value of x by 3, as such: x = -6 ⇒ 3x = -6 * 3 = -18

The answer is 3x=-18

A shoe manufacturer was investigating the weights of men's soccer cleats. He felt that the weight of these cleats was less than the average weight of 10 ounces. After a random sample of 13 pairs of cleats, he found that sample mean was 9.63 and the standard deviation was .585. At a significance level of .05, can it be concluded that the researcher was correct?
Show work

Answers

Answer:

 The conclusion is that the researcher was correct

Step-by-step explanation:

From the question we are told that

     The sample size is  [tex]n = 13[/tex]

    The sample mean is  [tex]\= x = 9.63[/tex]

     The standard deviation is  [tex]s = 0.585[/tex]

      The significance level is  [tex]\alpha = 0.05[/tex]

The Null Hypothesis is  [tex]H_o : \mu = 0[/tex]

The Alternative  Hypothesis  is  [tex]H_a = \mu < 10[/tex]

The test statistic is  mathematically represented as

          [tex]t = \frac{\= x - \mu }{\frac{s}{\sqrt{n} } }[/tex]

Substituting values

          [tex]t = \frac{9.63 - 10 }{\frac{0.585}{\sqrt{13} } }[/tex]

         [tex]t = - 2.280[/tex]

Now the critical value for [tex]\alpha[/tex] is  

     [tex]t_{\alpha } = 1.645[/tex]

This obtained from the critical value table

  So comparing the critical value of alpha and the test value we see that the test value is less than the critical value so the Null Hypothesis is rejected

 The conclusion is that the researcher was correct

 

 

A sector with an area of 11/2*pi cm^2 has radius of 3 cm. What is the central angle measure of a sector in degrees?

190
200
210
220

Answers

Answer:

Step-by-step explanation:

Area of sector = angle/360 * pi * r^2

5.5pi = angle/360 * pi * 9

5.5 = angle/360 * 9

angle = (5.5 * 360)/9 = 40 * 5.5 = 220

what is the area of a circle with the equation (x − 6)² + (y + 2)² = 17 ?

Answers

Answer:

17π

Step-by-step explanation:

Equation of a circle is:

(x − h)² + (y − k)² = r²

Area of a circle is:

A = πr²

r² = 17, so A = 17π.

2x2+3y=-2 solve for y

Answers

Answer:

y=(-2/3)x^2-(2/3)

Step-by-step explanation:

2x^2+3y=-2

3y=-2x^2-2

y=(-2/3)x^2-(2/3)

Answer:

y= -2

Step-by-step explanation:

2x2+3y=-2

4+3y=-2

Subtract 4 from both sides

3y=-6

Divide both sides by 3

y= -2

In my case, x means multiplied by not a variable.

Find an
angle 0 coterminal to 701°, where 0°

Answers

Answer:

341°-19°

Step-by-step explanation:

Subtracting 360°, you get ...

  701° -360° = 341°

Subtracting 360° again, you get ...

  341° -360° = -19°

Angles 341° and -19° are coterminal with 701°.

_____

Additional comment

You can find additional angles by adding or subtracting multiples of 360°. We presume you require an angle in a specific range. Hopefully this gives you enough information to help you find the angle you're looking for.

Which of the following values of t will result in a true statement when substituted into the given equation? A. t = 8 B. t = -8 C. t = 11 D. t = -12

Answers

Answer:

B

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

what are three segments from this figure?

Answers

Answer:

AD, DA, ED, DE

Step-by-step explanation:

(-3x + 15) + (-3x + 2)

Answers

Answer:

If you are looking for a simplified equation, then the answer is -6x + 17  

Step-by-step explanation:

(-3x + 15) + (-3x + 2)

Because you are only adding and subtracting here, you can take out the parentheses.

-3x + 15 -3x + 2

= -6x + 17  

What is the volume of this rectangular prism?(HURRY)

Answers

Answer:

295.2

Step-by-step explanation:

Answer:295.2 cm^3

Step-by-step explanation:

Length=L=15cm

Width=w=4.1cm

Height=h=4.8cm

volume of rectangular prism=L x w x h

Volume=15x4.1x4.8

Volume=295.2 cm^3

you roll a cube find the probability of rolling an even number?

Answers

Answer: 1/2

Step-by-step explanation: Note that to roll an even number, we can roll a 2, 4, or 6.

So there are three ways to roll an even number.

Now let's use our ratio for the probability of an event.

P(event) = number of favorable outcomes/total number of outcomes

Since we want to find the probability of rolling a 3, the number of favorable outcomes for rolling a 3 will go on top in the ratio.

Also, remember that a number cube has six total outcomes.

So 6 will go in the bottom of our ratio

So the probability of rolling an even number is 3/6.

However, we can reduced 3/6 to 1/2.

Always reduce when finding probability.

So the probability or likelihood of rolling an even number is 1/2.

7.5% of what is 7.38?

Answers

Answer:

What =98.4

Step-by-step explanation:

Of means multiply and is means equals

7.5% * What = 7.38

Change to decimal form

.075 * what = 7.38

Divide each side by .075

.075 What /.075 = 7.38/.075

What =98.4

Answer:

the answer for this question is 98.4

A store display shows two red shirts, one blue shirt, and three shirts with red and white stripes. The display also shows two pairs of blue jeans, one pair of white pants, and one pair of white shorts. What is the probability of randomly selecting an item with white or red on it?
A) 1/4 B) 3/10 C)1/2 D) 7/10

Answers

Answer:

its 7/10

Step-by-step explanation:

The probability of randomly selecting an item with white or red on it is 3/10.

What is the probability?

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.

A store display shows two red shirts, one blue shirt, and three shirts with red and white stripes.

The display also shows two pairs of blue jeans, one pair of white pants, and one pair of white shorts.

The probability of randomly selecting an item with white or red on it is given by;

[tex]\rm Probability=\dfrac{Total \ number \ of \ items}{Total \ red \ or \ white \ items}\\[/tex]

Total items =  2 + 1 + 3 + 2 + 1 + 1 = 10 itens.

Substitute all the values in the formula

[tex]\rm Probability=\dfrac{Total \ number \ of \ items}{Total \ red \ or \ white \ items}\\\\\rm Probability=\dfrac{3}{10}\\\\[/tex]

Hence, the probability of randomly selecting an item with white or red on it is 3/10.

Learn more about probability here;

https://brainly.com/question/20849420

#SPJ2

HELP ME PLEASE , ALOT OF POINTS, CHECK DOCUMENT! Show work

Answers

Answer:

x=8

Step-by-step explanation:

log4( x-6) +log4(x) = 2

We know that loga + log b = log (ab)

log4( x-6)(x) = 2

Raise each side to the base of 4

4^log4( x-6)(x) = 4^2

( x-6)(x) = 16

Distribute

x^2 -6x = 16

Subtract 16 from each side

x^2 -6x-16 = 0

Factor

(x-8) (x+2) =0

Using the zero product property

x-8=0      x+2 =0

x=8     x=-2

Checking, we cannot have the log of a negative number so -2 is not a solution

Answer:

x = 8

Step-by-step explanation:

log4(x - 6) + log4(x) = 2

log4[(x - 6) × x] = 2

x² - 6x = 4²

x² - 6x - 16 = 0

x² - 8x + 2x - 16 = 0

x(x - 8) + 2(x - 8) = 0

(x + 2)(x - 8) = 0

x = 8, -2

Log of negative numbers do not exist, so x is only 8

subtract 6066 from 294

Answers

Answer:

-5772

Step-by-step explanation:

294-6066=-5772

Answer:

The answer would be 2,772

Step-by-step explanation:

6,066 - 294 = 2,272

I hope that helps!!:)

Other Questions
The new deal tried to solve many problems that arose during the the Great Depression by Use the graph to answer the questions. Which country had the lowest life expectancy in 1958? Which country had the lowest life expectancy in 2003? Which statement accurately describes one constitutional restriction on presidential power? Who taught the Romans the most about art, literature, and math?Group of answer choicesThe LatinsThe GreeksThe EtruscansThe Egyptians NEED HELP WITH THIS ASAP help please!!!!!!!!!!!!! 146 garment workers died because they were unable to escape from the upper floors of the building. What impact did this fire have on the garment industry? Check all the boxes where the vocabulary word correctly matches itsscience definition?Equilibrium: a system where forces are in balanceOClimax community: the end of a succession resulting in a stabilized communityoSuccession: the act of winning in lifePrimary Succession: colonization of an area that has not been previously occupied bya community, e.g. newly exposed rockPioneer Species: the first organisms to live on rocky surfaces, e.g. lichens, moss,algae, and fungiSecondary Succession: colonization following a major disturbance, such as a fire or aflood Please help with my chemistry! PLEASE According to the study, what two factors contributed to Tutankhamens death Jean Piaget theorized that individuals construct knowledge largely through interactions with __________.A.others perspectivesB.the environmentC.parentsD.friends 2 point1. What statement BEST describes how the author structures the section "PrizedTreasures"? *A. The author explains why processed foods lack flavor.B. The author provides a chronological account of the rise of the modern flavorindustryC. The author compares the flavor industry in America with the global flavor industry.D. The author explains how the modern flavor industry came to be and what effect ithas had on our health. While looking for weights, I did this write a paragraph using at least four words from the word bank . Which of these is most likely to be a typical issue separating opposing candidates in the national election? A. increasing the speed limit on interstate highways B. allowing fishing in national parks C. increasing the police in Washington, D.C. D. increasing the federal income tax Sal is tiling his entryway. The floor plan is drawn on a unit grid. Each unit length represents 1 foot. Tile costs $1.85 per square foot. How much will Sal pay to tile his entryway? Round your answer to the nearest cent. 15 3 = Find the value of . A) 5 B) 12 C) 18 D) 45 how do I simplify this algebraic expression 3x+2a-4x A copy machine makes 231 copies in 5 minutes and 15 seconds. How many copies does it make per minute? A bag contains marbles of four different colors listed below. What is the probability of picking a BLUE marble at random out of the bag? 8 blue marbles, 24 red marbles, 16 green marbles, 4 yellow marbles. ~1) 8/1002) 2/133) 6/134) 4/13