Find the median for the following set of data: 41, 28, 42, 17, 32, 28

The values of the variable in the inequality will be:

a. x > 3.5

b. x > 7

Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal. Inequalities implies that the expressions are not equal. Here, they are denoted by the symbols ≥ < > ≤.

4x - 2 > 12

4x > 12 + 2

4x > 14

Divide

x > 14/4

x > 3.5

-2x + 6 < 20

-2x < 14

x > 14/2

x > 7

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Answer:

6

Step-by-step explanation:

3/4 of 801 is approx 600

   3/4 % of 801 would be this answer divided by 100 .... = 6

Answer:80

Step-by-step explanation:

what you do is since there’s a whole and a present multiply them and then divide by 100 and there’s your answer.So Sasha was wrong.(btw I’m in 6th grade and this is exactly what we are working on so I know lol)

Answer:

2, 3, and 5

Step-by-step explanation:

Hi there!

~

\(2 \frac{1}{4} \div ( \frac{3}{8} \div \frac{1}{2} )\)

\(= 3\)

Hope this helped you!

Answer:

1 11/16

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use Microsoft Bing

Answer:

8.88

Step-by-step explanation:

...

Answer:14

Step-by-step explanation:

Answer:

Mike had 14 to begin with.

Step-by-step explanation:

16 - 9 = 7

7 x 2 = 14

14 / 2 = 7

9 + 7 = 16

Answer:

a. $6.85

cents = 683

b. c=k/b

Step-by-step explanation:

18c=123.30

c=123.30÷18=6.85$

to cents = $6.85×100=683

b.

b=lunches orderd

c=each lunches box

k=total cost

c=k/b

to check

c=123.30/18=6.85

Answer:

first option

Step-by-step explanation:

Answer:

The mean increases by 1.7°

Step-by-step explanation:

1) Find the mean of the numbers given first

Mean = sum of number ÷ number of numbers

Sum of numbers = 58 + 61 + 71 + 77 + 91 + 100 + 105 + 102 + 95 + 82 + 66 + 57 = 965

Number of numbers = 12

2) Find the mean of numbers including the additional 103

Sum of numbers = 58 + 61 + 71 + 77 + 91 + 100 + 105 + 102 + 95 + 82 + 66 + 57 + 103 = 1068

Number of numbers = 13

3) Find the difference

If we use the results rounded to one decimal place we will be left with 80.4 and 82.2

Hope this helps, have a lovely day :)

The two balls take 5 seconds to meet together

It is a sequence where the difference between each consecutive term is the same.

Example:

2, 4, 6, 8, 10 is an arithmetic sequence.

We have,

Ball A.

Distance travel after n seconds = 50, 48, 46, 44, 42, 40,,,,,

Sum of nth term = n/2[100 + (n - 1)2 ]

Ball B.

Distance travel after t seconds = 30, 28, 26, 24, 22, 20,,,,,

Sum of nth term = n/2 [60 + (n - 1)2]

Now,

n/2 [100 + (n - 1)2] + n/2 [60 + (n - 1)2] = 420

50n + 2n - 2 + 30n + 2n - 2 = 420

80n + 4n - 4 = 410

84n = 414

n = 414/84

n = 5

Thus,

The ball takes 5 seconds to meet.

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Answer:

y = -180 + 3x

Step-by-step explanation:

Because AB = AC -> ABC is a isosceles triangle -> B = C

Because AB = BD -> ABD is an isosceles triangle -> A = D -> x = D

We have ADB + ADC = 180 -> x + ADC = 180 -> ADC = 180 - x (1)

We have x = D, and BAD + ADB + ABD = 180 -> ABD = 180 - 2x but B = C -> C = 180 - 2x (2)

With (1) and (2) We have DAC + ACD + ADC = 180

-> y + 180 -2x + 180 -x = 180

-> y + 360 - 3x = 180

-> y = -180 + 3x

Answer:

y=3x-180

Step-by-step explanation:

Above working is my step by step solution. Thank you.

Answer:

12% of 150 is 18

Step-by-step explanation:

You have to do 12 divided by 100 x 150 which will equal 18. Hope this helps! : )

Answer:

\( \frac{12}{100} \times 150 \\ \frac{12}{2} \times 5 \\ 6 \times 5 \\ = 30\)

Answer: A pair of shoes that costs $20 is sold to the customer for $35, and A shirt that costs $12 is sold to the customer for $20.

Step-by-step explanation:

1. Half (or 50%) of 20 is 10, so 20+10=30, but 35 is bigger than 30.

2. Half (or 50%) of 12 is 6, so 12+8=18, but 20 is bigger than 18.

Answer: C The probability of selecting a card with a picture of a circle is 1/5, and the probability of selecting a card that is not a picture of a

circle is 4/5

Step-by-step explanation:

First you need to find the total amount of cards in the set by adding up all of the cards: 8 + 12 + 10 + 6 + 4 = 40

Then to find the probability of selecting a circle divide the number of cards that have a circle by the total number of cards: 8/40

You can simplify it to be 1/5 since 8/8 = 1 and 40/8 = 5

So the probability of a circle is 1/5

This means that the probability for all of the other shapes that are not a circle have to be 4/5-- but you can check by adding up the rest then dividing by 40:

12 + 10 + 6 + 4 = 32

32/40 --> 32/8 = 4 & 40/8 = 5

4/5

Answer:

Step-by-step explanation:

The question asks you to dilate the rectangle by a scale factor of 1/3.

KEY TERM:

Dilate by a scale factor: You make a shape bigger or smaller by multiplying by a number.

Here, we are dilating by a scale factor of 1/3. Therefore, to solve the problem, you have to multiply each coordinate by 1/3. Also, we are making the shape smaller because we are multiplying by a fraction.

___

STEP 1: LINE UP ALL THE COORDINATE PAIRS

Point U: (-6,6)

Point R: (-6,-3)

Point T: (9,6)

Point S: (9,-3)

Now the easy part is done.

STEP 2: MULTIPLY BY 1/3

It is very important you know how to do this part because it determines the answer. So when i say "multiply by 1/3" i mean multiply each individual number by 1/3.

I'll explain for point u then do the rest:

Point U was originally: -6,6.

-6 x 1/3= -6/3= -2.

6x1/3= 6/3= 2

The "dilated" point U is: (-2,2). I multiplied each individual coordinate by 1/3, one by one.

Point R was originally: (-6,-3)

-6x1/3= -2

-3x1/3= -3/3= -1

The "dilated" point R is (-2,-1)

Point T was originally: (9,6)

9x1/3= 3

6x1/3= 2

The "dilated" point T is (3,2).

Point S was originally (9,-3).

9x1/3= 3

-3x1/3= -1

The "dilated' point S is (3,-1)

Finally, if you ever get confused about the order of the coordinates, it just stays the same. Like 9,-3 becomes the dilated 9 , dilated -3.

STEP 3: GRAPH THE NEW POINTS

see the screenshot, for reference :)

Answer:

Step-by-step explanation:

you dilate each coordinate by a scale factor of 1/3 , making the shape smaller.

Answer:

-3/16 feet a year

Step-by-step explanation:

since we have a whole number 1 (5/16), we can turn this into an improper fraction 16(from the one) +5=21/16, since we know the number of years (7) we can divide 21 by the number of years. 21/7=3. So it went down 3 feet a year. Hope this helped!

Answer:

shade all numbers less than 6

shade all numbers to the left of 6

Step-by-step explanation:

i believe this is the answer because if you graph x<6, you can see that the shaded area is to the left of 6 (numbers less than 6).
Desmos graphing calculator helps

Answer:

3, & 6

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The answer is D

hope this helps :)

Answer:

Last option: Each term in the first sequence is four times the corresponding term in the second sequence

Step-by-step explanation:

This is because the numbers increase by products of the 4 times table. Here, 0+4=4 is followed by 0+8=8 and so on. This also follows the sequence 4×1=4, 4×2=8 and so on.

Answer:

Answer is in the image below! :)

Step-by-step explanation:

If you have any questions ask me please!

Answer:

20

Step-by-step explanation:

Using the distance formula

Answer: all you got to do is count all the space and you well get  close to the -10 to be 6 -7

Step-by-step explanation:

Answer:

Option #4

Step-by-step explanation:

Expand option #4

=-3(1-2x)

=-3 -2x*-3

=-3+6x which is what your original equation was.

2/3 Divided by 5 is 0.13 or 2/15.

Answer:

Step-by-step explanation:

59 would be yes as it was the first option.