! Task 1. Bookwork code: G24 Calculator X not allowed Anthony has three number cards, as shown below. The minimum of the three cards is 6. The range of the three cards is 5. What is the mean of Anthony's three cards? Cards are 6, 7 and unknown​

Answers

Answer 1

Answer:

8

Step-by-step explanation:

In order to find the range you need to subtract maximum card number from the minimum card number. We know that the range is 5 and that the minimum card is 6 so we can set up the equation like this to find the maximum shown as x.

[tex]5=x-6[/tex]

Add 6 to both sides

[tex]11=x[/tex]

Now we know all the the numbers of the three cards Anthony has since we were given the minimum = 6, 7, and solved for the last card which was the maximum = 11. In order to find the mean we have to add all of the numbers then divide by how many numbers there are (in this case it will be 3):

[tex]mean=\frac{6+7+11}{3}[/tex]

Add 6+7+11

[tex]mean=\frac{24}{3}[/tex]

Divide by 3

[tex]mean=8[/tex]


Related Questions

Write and Graph Inequalities


1. When cooking a turkey, the recommended internal temperature of the turkey is 165 °F. A lower internal temperature will undercook the turkey. Write an inequality that is true only for temperatures that which the turkey will be undercooked.


I want the answer in words pls and thank u

Answers

Answer:

Turkeys with an internal temperature of less than 165° F are undercooked.

John can jog twice as fast as he can walk. He was able to jog the first 5 miles to his grandmothers house, but the he tired and walked the remaining 2 miles.If the total trip took 0.9 hours, then what was his average jogging speed?

Answers

Formula for speed = distance/ time
S = 7/.9 = 7.77 miles per hour or 8 mph if you round up.

what is x?

0=3x² - 4x + 12​

Answers

Answer:

x=0.66+1.88i

x=0.66-1.88i

Step-by-step explanation:

Given

3[tex]x^{2}[/tex]-4x+12=0

using the Quadratic Formula where

a = 3, b = -4, and c = 12

[tex]x=-b[/tex]±[tex]\sqrt{b^{2}-4ac } /2a\\[/tex]

x=-(-4)±[tex]\sqrt{(-4)^{2}-4(3)(12) } /2(3)[/tex]

x=4±[tex]\sqrt{16-144} /6[/tex]

x=-4±[tex]\sqrt{128} /6[/tex]

[tex]b^{2} -4ac<0\\[/tex]

x=-4±[tex]8\sqrt{2} i[/tex]/6

[tex]x=\frac{2}{3}[/tex]± [tex]\frac{4\sqrt{2}i }{3}[/tex]

Which becomes,

x=0.66+1.88i

x=0.66-1.88i

The value of x will be x=0.66+1.88i

x=0.66-1.88i

What is the answer for earning in dollars

A. 200

B.150

C.110

D.120

Answers

Answer:

D. 120

Step-by-step explanation:

Answer:

120

5*24=120

5*20=100

5*16=80

Factor the polynomial 3x^2+6x

Answers

Answer:

1. [tex]3x(x+2)[/tex]

Step-by-step explanation:

1: Find the GCF (Greatest Common Factor) of the polynomial

Answer: 3x

Then use it to factor out 3x^2 + 6x

3x(x + 2)

Find the square root of 75​

Answers

Answer:

8.66  =  9

Step-by-step explanation:

The square root of 75 is approximately equal to 8.66 but if rounded 9

find the unit rate of computers per day using the graph

Answers

Answer:

You need to look at the graph and find an ordered pair.  Once you find an ordered pair divide the x value by the y value to get the unit rate.

Step-by-step explanation:

The account that appears in the chart of accounts for a merchandising entity but not for a service entity is

Answers

yeshir yeshir is the answer to this question no cap slatt I keep a Glizzy on my side jig

determine the number of terms in the sequence: 1/4, -1/-2, 1, 16384
(full answer )

Answers

Answer:245

Step-by-step explanation:

A
B
Peanut
Butter
Peanut Butter
150g
400g
$2.14
$6.50
Which of the jars shown above is the BETTER buy?

Answers

Answer:

I guess 400g good for your diet. and health

Seema is travelling to California. She travels a distance of 7,800 km by plane to Lima and then another 6,700 km to Los Angeles. Both planes fly at an average speed of 900 kmh-1.
What is her total flight time in hours and minutes, to the nearest minute?

Answers

16 hours 6 minutes

See the image above

Multiply (−4) × (−2) × (−5).

Answers

Answer: -40 or negative forty

Step-by-step explanation:

Answer: (-4) * (-2)= 8
(-5) * 8= -40

-40

Hope this helps :))

I don't understand help plz​

Answers

It’s a and b are the correct answer
A and b are the correct answers

The side of a right triangle opposite the right angle.

Answers

Answer:

hypotenuse

Step-by-step explanation:

The side opposite the right angle has a special name - hypotenuse

The other two sides of the right triangle are called legs

Carol wants to tile her utility room. Each tile is 1 square foot. She draws the shape of her room on a grid. Each square unit on the grid represents 1 square foot. How many tiles will she need?

Answers

Answer:

1

Step-by-step explanation:

that's a very vague question

need to find volume, step by step explanation pls



Answers

Given:

A figure of combination of hemisphere, cylinder and cone.

Radius of hemisphere, cylinder and cone = 6 units.

Height of cylinder = 12 units

Slant height of cone = 10 units.

To find:

The volume of the given figure.

Solution:

Volume of hemisphere is:

[tex]V_1=\dfrac{2}{3}\pi r^3[/tex]

Where, r is the radius of the hemisphere.

[tex]V_1=\dfrac{2}{3}(3.14)(6)^3[/tex]

[tex]V_1=\dfrac{6.28}{3}(216)[/tex]

[tex]V_1=452.16[/tex]

Volume of cylinder is:

[tex]V_2=\pi r^2h[/tex]

Where, r is the radius of the cylinder and h is the height of the cylinder.

[tex]V_2=(3.14)(6)^2(12)[/tex]

[tex]V_2=(3.14)(36)(12)[/tex]

[tex]V_2=1356.48[/tex]

We know that,

[tex]l^2=r^2+h^2[/tex]                               [Pythagoras theorem]

Where, l is length, r is the radius and h is the height of the cone.

[tex](10)^2=(6)^2+h^2[/tex]

[tex]100-36=h^2[/tex]

[tex]\sqrt{64}=h[/tex]

[tex]8=h[/tex]

Volume of cone is:

[tex]V_3=\dfrac{1}{3}\pi r^2h[/tex]

Where, r is the radius of the cone and h is the height of the cone.

[tex]V_3=\dfrac{1}{3}(3.14)(6)^2(8)[/tex]

[tex]V_3=\dfrac{25.12}{3}(36)[/tex]

[tex]V_3=301.44[/tex]

Now, the volume of the combined figure is:

[tex]V=V_1+V_2+V_3[/tex]

[tex]V=452.16+1356.48+301.44[/tex]

[tex]V=2110.08[/tex]

Therefore, the volume of the given figure is 2110.08 cubic units.

x+y-6=0, x-y=0. What is the solution set of the system?

A. (3,3)
B. (-3,3)
C. (3, -3)​

Answers

Answer:

A. (3,3)

Step-by-step explanation:

4. Find H. C.F. of 60,75 & 90​

Answers

Answer:

H.C.F = 15

Step-by-step explanation:

60 = 2 × 2 × 3 × 5

75 = 3 × 5 × 5

90 = 2 × 3 × 3 × 5

HCF = 3 × 5 = 15

Linear equation


Gina is 3 years older than Susan. The sum of their ages is 12 years more than Susan’s age. How old is Susan ?

Answers

Answer:

Susan = x

Gina = 3x

Sum of their ages = 12

Susan's age = ?

We can see that,

[tex]2x=10

x = \frac{10}{2}x=

2

10

x = 5x=5[/tex]

Susan is 3 years old.

Please help 50 points
Simplify the expression

Answers

your answer is 2x+6, which is the third one :)

Answer:

c

Step-by-step explanation:

For what value of k will the relation y = kx² + 8x + 8 have only one zero? (3 marks)

Answers

Answer:

2

Step-by-step explanation:

2x^2 + 8x + 8

factor the 2 out : 2(x^2 + 4x + 4)

2(x + 2)^2

x = -2

negative 5 plus positive 5​

Answers

Answer:

0

Step-by-step explanation:

What is the domain to this graph

Answers

Answer:

x > 0

Step-by-step explanation:

The domain of the graph are all the possible values of x. Since the graph never touches the negative part of the graph, x will always be greater than 0. Thus, x > 0 meaning x will be greater (not equal to) 0.

What's the area of this shape?

Answers

Answer:

[tex] 365.97\: cm^2[/tex]

Step-by-step explanation:

Area of the shape = Area of triangle with base 22 cm and height 16 cm + Area of semicircle with radius (22/2 = 11) 11 cm

[tex] = \frac{1}{2}bh + \frac{1}{2} \pi {r}^{2} \\ \\ = \frac{1}{2} \times 22 \times 16 + \frac{1}{2} \times \times 3.14 {(11)}^{2} \\ \\ = 11 \times 16 + 3.14 \times 60.5 \\ \\ = 176 + 189.97 \\ \\ = 365.97 \: {cm}^{2} [/tex]

Step-by-step explanation:

The radius would be 11 which is half of the width and the height is 16.

A= πr(r+√h²+r²)

A= π•11•(11+√16²+11²)

A≈ 1051.11836

Dominic is deciding if he should become a member of his local ice rink. The $144 annual membership fee at the ice rink includes admission and parking, members pay $4.00 per visit to rent ice skates. Non-members pay $11 admissions, $5.00 for parking and they also pay $4.00 per visit to rent ice skates. 1. When is it better to be a member? After 4 visits how much would each pay? Member: $_________ Non-Member: $__________ After 6 visits how much would each pay? Member: $_________ Non-Member: $__________

Answers

Answer:

1. members = $ 160 , non members = $ 80

2. members = $ 168 , non members = $ 120

Step-by-step explanation:

For members

Annual membership = $ 144

rent per visit charges = $ 4

For Non members

parking charges = $ 5

admission charges = $ 11

rent per visit = $ 4

(1) for 4 visits

Members pay = $ 144 + 4 x $ 4 = $ 160

Non members pay = 4 x $ 11 + 4 x $ 5 + 4 x $ 4 = $ 80

So, non member ship is better.    

(2) for 6 visits

Members pay = $ 144 + 6 x $ 4 = $ 168

Non members pay = 6 x $ 11 + 6 x $ 5 + 6 x $ 4 = $ 120

So, non member ship is better.    

The length of rectangle is 3 cm longer than its breadth. If the perimeter of the rectangle is 54 cm, find its length,in cm​

Answers

Answer:

Length=15cm

Hope this answer is right!!

Step-by-step explanation:

Length be 3 cm longer than the breadth.

So, x=y+3

Perimeter = 2(x+y)54

So, x+y=27 =>x=15

x-y=3 =>x=12

So, length is 15 cm

Convert to polar form

Answers

Please click on the above picture and view the full answer.

Step-by-step explanation:

Hope it helps you.^_^

A bag contains 6 red balls and 5 black balls . Two balls are picked , one after the other . Find the probability that :
i. Both are black
ii. The first is black
iii. Both are of the same colour
Given that :
a. it is without replacement
b. it is with replacement

Answers

Answer:

There are:

6 red balls - R5 black balls - BTotal number = 11 ballsA. Without replacement

i. Two blacks

P(BB) = 5/11*4/10 = 2/11

ii. The first is black

P(B) = 5/11

or, alternatively

P(BR or BB) = 5/11*6/10 + 2/11 = 3/11 + 2/11 = 5/11

iii. Both are of same colour

P(BB or RR) = 2/11 + 6/11*5/10 = 2/11 + 3/11 = 5/11B. With replacement

i. Two blacks

P(BB) = 5/11*5/11 = 25/121

ii. The first is black

P(B) = 5/11

or alternatively

P(BR or BB) = 5/11*6/11 + 25/121 = 30/121 + 25/121 = 55/121 = 5/11

iii. Both are of same colour

P(BB or RR) = 5/11*5/11 + 6/11*6/11 = 25/121 + 36/121 = 61/121

Solve 5x + 6 = 3x - 10​

Answers

[tex]\boxed{x\:=\:-8 }[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}[/tex]

[tex]5x + 6 = 3x - 10[/tex]

[tex]➺ \: 5x - 3x = - 10 - 6[/tex]

[tex]➺ \: 2x = - 16[/tex]

[tex]➺ \: x = \frac{ - 16}{2} [/tex]

[tex]➺ \: x = - 8[/tex]

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

[tex]5x + 6 = 3x - 10[/tex]

[tex]➼ \: 5 \times ( - 8 )+ 6 = 3 \times ( - 8) - 10[/tex]

[tex]➼ \: - 40 + 6 = - 24 - 10[/tex]

[tex]➼ \: - 34 = - 34[/tex]

[tex]➼ \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]

Answer:

-8

Step-by-step explanation:

5x + 6 = 3x − 10

Subtract 3x from both sides:

5x + 6 - 3x = 3x - 10 - 3x

2x + 6 = -10

Subtract from 6 both sides:

2x + 6 - 6 = -10 - 6

2x = -16

Divide both sides by 2:

2x         -16

____ = ____

  2           2

      -16

x = ____   (divide)

        2

final answer: x = -8

Express in the form n : 1.
Give n as a fully simplified fraction.
20 : 15

Answers

Answer:

this is the answer

Step-by-step explanation:

20:15=20/15=4/3=n

Hence, 1:n=3:4

20 : 15 = 20/15 : 15/15 = 4/3 : 1

n = 4/3 which is simple but some people prefer 1 1/3
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