what is the median of - 21, 18, 24, 14, 14, 20, 22

Answer:

[tex]\boxed {\boxed {\sf d= \sqrt{34}}}[/tex]

Step-by-step explanation:

We want to find the distance between two points, so the following formula is used.

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

Where (x₁, y₁) and (x₂, y₂) are the points we are finding the distance between.

We are given the points (-2, -1) and (3,2). If we match the corresponding value and variable we see that:

Substitute the values into the formula.

[tex]d= \sqrt {(-2-3)^2+(2--1)^2[/tex]

Solve the parentheses.

[tex]d= \sqrt{(-5)^2+(3)^2[/tex]

Solve the exponents.

[tex]d= \sqrt{25+9}[/tex]

Add.

[tex]d= \sqrt{34}[/tex]

This radical cannot be simplified, so the distance between the two points is √34 and choice 3 is correct.

Answer:

hope this helps

Step-by-step explanation:

what do you have to do

Answer:

Y = -1/4x + 5

Step-by-step explanation:

Answer:

[tex]8\%[/tex]

Step-by-step explanation:

Since question already gives the number of dollars she will tip, I'm assuming it's asking for percent tipped.

Because the total is $75 and Theresa is tipping $6, she is tipping [tex]\frac{6}{75}=0.08[/tex] of the total. To convert this to a percentage, multiply by 100: [tex]0.08\implies 0.08\cdot 100=\boxed{8\%}[/tex]

Answer:

2 -cups

Step-by-step explanation:

-cup = 1/2 cup

-cup =1/2 cup

1/2 + 1/2 = 1 cup

Answer:

x=11

Step-by-step explanation:

The equation for the problem is 4x-2=42. The angle (4x-2) is equal to 42 degrees because it is vertical to the angle with 42 degrees. If angles are vertical, they are equal to each other.

Add 2 to both sides of the equation.

4x+2=4x     42+2=44

Simplify.

4x=44

Divide 4 by both sides.

4x/4=x     44/4=11

Simplify to get the final answer.

x=11

Answer:

20

h(x) = 2x - 20

Step-by-step explanation:

f(x) = ¹/₂ x + 10

First, isolate x, like so:

f(x) - 10 = ¹/₂ x

x = 2(f(x) - 10)

x = 2f(x) - 20

Now, simply switch f(x) with x and x with h(x), like so:

h(x) = 2x - 20

Answer:

the answer is 20

Step-by-step explanation:

took the test on edge

Answer:

180 -110 = 70

c =70

Step-by-step explanation:

Answer:

Step-by-step explanation:

pythagoras theorem

a^2+b^2=c^2

24^2+10^2=x^2

576+100=x^2

676=x^2

[tex]\sqrt{676[/tex]=x

26=x

Answer:

C. 1

Step-by-step explanation:

angle L and angle N are equal so the length of ML and MN should be equal too (isosceles triangle)

4x = x + 3 subtract x from both sides

3x = 3 divide both sides by 3

x = 1

Answer:

its 93.4

Step-by-step explanation:

just multiply 46.7 by 2

Answer: 4th week

Step-by-step explanation:

You just keep adding 150 to 250 for Sarah and subtract 200 from 1,650 for Felicia until they both have the same amount which would be 850.

At the end of 4th week Sarah and Felicia have same amount of money equals to $850.

"Amount is defined as representation of total of two or more quantities."

According to the question,

Amount with Sarah at the beginning of the week = $250

Amount save per week by Sarah = $150

Amount with Felicia at the beginning of the week = $1650

Amount save per week by Felicia = $200

As per the given conditions,

Sarah amount for different weeks:

At the end first week = $250 + $150

                                   = $400

At the end second week = $400 + $150

                                         = $550

At the end third week = $550 + $150

                                    = $700

At the end fourth week = $700 + $150

                                       = $850

Felicia amount for different weeks:

At the end first week = $1650 - $200

                                   = $1450

At the end second week = $1450- $200

                                         = $1250

At the end third week = $1250 - $200

                                    = $1050

At the end fourth week = $1050- $200

                                       = $850

Hence, at the end of 4th week Sarah and Felicia have same amount of money equals to $850.

Learn more about amount here

https://brainly.com/question/13024617

#SPJ2

Answer:

Infinite points

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

-24x - 4y = -164

y = 41 - 6x

Step 2: Solve for x

Here we see that -164 does indeed equal -164.

∴ We have an infinite amount of solutions.

Answer:

5

Step-by-step explanation:

seven has 5 letters

Answer:

2.82

Step-by-step explanation:

Answer: Unlock code = 76

==========================================================

Explanation:

Use a factor tree to find the prime factorization of each value

22 = 2*11

30 = 2*3*5

Both values have '2' in common and this is the largest such value. Therefore, the GCF of 22 and 30 is 2.

So E = 2

----------------------------

Since 3 and 8 have no factors in common (other than 1), this means the LCM is 3*8 = 24

We can say that F = 24.

If the numbers had some larger number in common, then we'd have to do a bit more work to find the LCM.

----------------------------

As the hint suggests, we'll use the distributive property to show that

3*(7+10) = G + 30

3*7 + 3*10 = G + 30

21 + 30 = G + 30

21 = G .... subtract 30 from both sides; they cancel and go away

G = 21

----------------------------

Use the same idea for the other equation as well

5*(3 + H) = 15 + 45

5*3 + 5*H = 15 + 45

15 + 5H = 45

5H = 45 ............ subtract 15 from both sides; they go away

H = 45/5 ......... divide both sides by 5

H = 9

------------------------------

The unlock code is

E+F+G+H = 2+24+21+29 = 76

Answer:

8 / 17

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as acute, isosceles, obtuse, scalene, equilateral and right angled triangle.

Trigonometric identities are used in a right angled triangle to show the relationship between the sides and the angles. They are:

sinθ = opposite / hypotenuse, cosθ = adjacent / hypotenuse, tanθ = opposite / adjacent

From the triangle attached:

sin(H) = opposite / hypotenuse

sin(H) = 8 / 17

Answer:

312

Step-by-step explanation:

13 x 24 = 312

Answer:

16) r = C/(2·π)

17)  [tex]r^2 = \dfrac{3 \ \cdot V}{\pi \cdot h}[/tex]

18) x = (9 - 3·y)/2

19) Please find attached the required graph of the inequality x ≤ 4 created with MS Excel

20) z ≥ 1

Solve each inequality and graph the solution

21) n ≤ 1

22) p > -5

23) -3 ≤ q ≤ 2/5

24) x > 1/5

25) x < -11

26) 7

Step-by-step explanation:

Solving for the indicated variable

16) C = 2·π·r for r

Dividing both sides by 2·π gives;

C/(2·π)  = 2·π·r/(2·π)  = r

∴ r = C/(2·π)

17) [tex]V = \dfrac{1}{3} \cdot \pi \cdot r^2 \cdot h \ for \ r^2[/tex]

Dividing both sides by [tex]\left( \dfrac{1}{3} \cdot \pi \cdot h \right)[/tex] gives;

[tex]\dfrac{V}{\left( \dfrac{1}{3} \cdot \pi \cdot h \right)} = \dfrac{ \dfrac{1}{3} \cdot \pi \cdot r^2 \cdot h}{\left( \dfrac{1}{3} \cdot \pi \cdot h \right)}[/tex]

[tex]\therefore r^2 = \dfrac{V}{\left( \dfrac{1}{3} \cdot \pi \cdot h \right)} = \dfrac{3 \ \cdot V}{\pi \cdot h}[/tex]

[tex]r^2 = \dfrac{3 \ \cdot V}{\pi \cdot h}[/tex]

18) 2·x + 3·y = 9 for x, gives;

x = (9 - 3·y)/2

19) Please find attached the required graph of the inequality x ≤ 4 created with MS Excel

20) Solve each inequality

z - 3 ≥ -2

z ≥ -2 + 3 = 1

∴ z ≥ 1

Solve each inequality and graph the solution

21) 3·n  + 5 ≤ 2·n + 6

n ≤ 1

22) 10·p + 20 - p > p + 3 - 23

9·p + 20  > p - 20

8·p > -40

p > -5

23) -1 ≤ 1 - 5·q ≤ 16

∴ 2/5 ≥ q ≥ -3

-3 ≤ q ≤ 2/5

Solve each word problem

24) Let x represent the number, we have;

2·x + 3·(x + 2) > 17

5·x + 6 > 7

∴ x > 1/5

The numbers are numbers larger than (1/5)

Solve each inequality

25) 2·(x - 5) + 3·x < 4·(x - 6) + 3

2·x - 10 + 3·x < 4·x - 24 + 3

x < -11

26) -2 - [-4 - (3 - 2)] = -2 + 4 + 3 - 2 = 7

Answer:

1/6=6

Step-by-step explanation:

Conversion a mixed number 2 1/

4

to a improper fraction: 2 1/4 = 2 1/

4

= 2 · 4 + 1/

4

= 8 + 1/

4

= 9/

4

To find new numerator:

a) Multiply the whole number 2 by the denominator 4. Whole number 2 equally 2 * 4/

4

= 8/

4

b) Add the answer from previous step 8 to the numerator 1. New numerator is 8 + 1 = 9

c) Write a previous answer (new numerator 9) over the denominator 4.

Two and one quarter is nine quarters

Divide: 9/

4

: 3/

8

= 9/

4

· 8/

3

= 9 · 8/

4 · 3

= 72/

12

= 12 · 6/

12 · 1

= 6

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 3/

8

is 8/

3

) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step, , cancel by a common factor of 12 gives 6/

1

.

In words - nine quarters divided by three eighths = six.

Answer:

1/10

Step-by-step explanation:

7 is one number in a 10 sided die

Answer:

perimeter of the garden=2(length+width)

=2(7√13+√13)

=2(8√13)

=16√13

Answer: x=45

Step-by-step explanation:

2x+6=96

2x=90

x=45

Answer:

x = -6

Step-by-step explanation:

8 + 4x = -16

4x = -16 - 8

4x = -24

x = -24/4

x = -6

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: x = - 6}}}}}}[/tex]

[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]

[tex]\:8 + 4x = - 16[/tex]

➺[tex] \: 4x = - 16 - 8[/tex]

➺[tex] \: 4x = - 24[/tex]

➺[tex] \: x = \frac{ - 24}{4} [/tex]

➺[tex] \: x = - 6[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

[tex]\:8 + 4x = - 16[/tex]

➼[tex] \: 8 + 4( - 6) = - 16[/tex]

➼[tex] \: 8 - 24 = - 16[/tex]

➼[tex] \: - 16 = - 16[/tex]

➼[tex] \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

The hypotenuse is sqrt ( 2x^2)

Step-by-step explanation:

Given a right angled triangle, we can find the hypotenuse of a triangle using the Pythagorean theorem which says that c^2 = a^2 + b^2, where a is the length, b is the perpendicular height and c is the hypotenuse. The length of the triangle (l) is x and the height of the triangle is also x. By substituting the values,

c^2 = x^2 + x^2 = 2x^ 2

There are two possible answers to c but the hypotenuse cannot be negative.

Hence,

c = Sqrt (2x^2)

Answer:

-21

Step-by-step explanation:

f(-3) = -4(-3)² + 15 = -4(9) + 15 = -36 + 15 = -21

Answer:

f(-3) = -21

Step-by-step explanation:

f(x) = −4x²+ 15

f(-3) = -4(-3)² + 15

f(-3) = -4(9) + 15

f(-3) = -36 + 15

f(-3) = -21

Answer:

Step-by-step explanation:

take 60 degree as reference angle

using cos rule

cos 60=adjacent/hypotenuse

1/2=80/x

x=80*2

x=160

Answer:

49a^7

Step-by-step explanation:

Combine like terms (30+19 = 49)

Answer:

[tex]{ \bf{30 {a}^{7} + {19a}^{7} }} \\ = (30 + 19) {a}^{7} \\ = 49 {a}^{7} [/tex]