Jon is playing a game with his friend Mike. Mike rolls two dice three times. Each time Mike rolls the dice, Jon squares both numbers and subtracts the smaller square from the larger square. After all three rolls, Jon adds the three numbers he obtained from the three rolls. If Mike rolls a 4 and a 3 on the first roll, a 6 and a 2 on the second roll, and a 3 and a 1 on the third roll, what is the sum that Jon obtains?

Answers

Answer 1

Answer:47

Step-by-step explanation:

On first roll Mike gets 4 and 3

So number he gets after subtraction of square is

[tex]\Rightarrow 4^2-3^2=7[/tex]

On second roll Mike gets 6 and 2

So number he gets after subtraction of square is

[tex]\Rightarrow 6^2-2^2=32[/tex]

On Third roll Mike gets 3 and 1

So number he gets after subtraction of square is

[tex]\Rightarrow 3^2-1^2=8[/tex]

Sum of numbers[tex]=7+32+8=47[/tex]

John obtains [tex]47[/tex] as sum


Related Questions

help me out please!!!!

Answers

Answer:

Answer (e)

Step-by-step explanation:

Note that this graph has a zero at x = 1 and a vertical asymptote at x = -4.  Only Answer (e) corresponds to that.  Try letting x = 1.  y is zero, correct?  Try letting x = -4.  y is undefined, correct?

Find n so that C(n, 3) = P(n, 2).

Answers

Answer:

n = 19/6

Step-by-step explanation:

Formula for C(n,r) = n!/(r!(n-r)!)

C(n,3) = n! /( 3! * (n - 3)!)

Formula for P(n,r) = n!/(n-r)!

P(n,2)= n!/(n-2)!

C(n, 3) = P(n, 2)

n! /( 3! * (n - 3)!) = n!/(n-2)!

[tex]\frac{n!}{3!(n-3)!}= \frac{n!}{(n-2)!}[/tex] cross multiply

n!(n-2)! = n! 3! (n-3)!

(n-3)! = (n-3)(n-2)!

so n!(n-2)! = n! 3! (n-3)! becomes

n!(n-2)! = n! 3! (n-3)(n-2)! divide both sides by n!(n-2)!

1  =6(n-3)

1 =6n -18

19 = 6n

n = 19/6

8 divided by 4106 long division

Answers

Answer:

513.25  or 0.001

How i got the answer:

As we  that 06 + 4 = 10. 10 is not divisible by 8. It means that 4106 is also not divisible by 8. The correct answer will be 4106 divided by 8 is 513.25.

If you asking only 8 divided by 4106 the answer is 0.00194836824. In short form it is 0.001.

If you asking if 8 is divisible by 4106 the answer is 513.25. Steps are added above.

Answer: 513.25  or 0.001

Please mark me brainliest

Hope this helps.

answer is 8/4106 or 0.002

Just follow the rules for multiplication and keep going till the end

Help me ASAP
Estimate the measure of ∠DBC.

Answers

Answer:

135°

Step-by-step explanation:

Considering it's estimation, there isn't too much of an explanation, but here you go anyways.

A straight angle is equal to 180°. DBE is a straight angle.

DBC and CBE added together appear to be 180° (supplementary).

We are trying to find DBC. An obtuse angle has to be over 90°, which in this case DBC clearly is over 90°. From that you can conclude it isn't any of the first 3, so it's D. 135°

hope this helps and give brainliest if I am epic blah blah blah ;)

This graph shows how the length of time a bicycle is rented is related to the rental cost. What is the rate of change shown in the graph?

A. 2 hours/dollar
B. 4 hours/dollar
C. $4/hour
D. $2/hour​

Answers

Answer:

$4/ hour

Step-by-step explanation:

every hour you go you add 4 dollars

example: 1 hour is $2

                2 hours is $6

In a sale all prices are reduced by 10% .What is the sale price of an article marked AED 75.

Answers

Answer:

67.5

Step-by-step explanation:

When you calculate the 10% of AED75, it is equal to AED7.5Then you subtract AED7.5 from AED75 which is AED67.5

I want help! Please

Pocket allowance of 5 students respectively are:
125, 75, 150, 175, 200
Find out arithmetic mean.​

Answers

Answer:

145

Step-by-step explanation:

125+75+150+175+200= 725

725÷5=145

Answer:

145

Step-by-step explanation:

(125+75+150+175+200)÷5

725÷5= 145

On Monday, 230 students were supposed to go on a trip to the zoo but 22 did not have permission slips. 5 buses were filled and 8 students had to travel in cars. How many students were in each bus

Answers

Answer:

40 kids traveled in each bus

hope this helped

Step-by-step explanation:

230- 22= 208

208-8= 200

200÷5 =40

Answer:

40 students road on each bus

Step-by-step explanation:

230-22=208

208-8=200

200÷5=40

Find the equation of the line shown.

Answers

Answer:

y = x+1

Step-by-step explanation:

draw a table / write down ratios of the values of x and y. Then, you will notice the difference/ similarity

Answer:

y = x + 1

Step-by-step explanation:

equation of the line :

y = my + p  ; m is the slope and p is the y-intercept.

The line cross the —axis at the point (0,1) then

p = 1

the line passes through (0,1) and (1,2) then

m = (2-1)/(1-0) = 1/1 = 1

conclusion:

y = x + 1

Factorize x squared - 1x +10 =0

Answers

Answer:

no solution exists:

Step-by-step explanation:

x²−1x+10=0

Step 1: Simplify both sides of the equation.

x²−x+10=0

Step 2: Subtract 10 from both sides.

x²−x+10−10=0−10

x²−x=−10

Step 3: The coefficient of -x is -1. Let b=-1.

Then we need to add (b/2)^2=1/4 to both sides to complete the square.

Add 1/4 to both sides.

x²−x+ 1/4=−10+ 1/4

x²−x+ 1/4=−39 /4

Step 4: Factor left side.

(x  -1/2)² = −39 /4

Step 5: Take square root.

x  −1 /2 =±√ −39 /4

Step 6: Add 1/2 to both sides.

x  =−1/2  + 1/2 = 1/2 ±√ -39/4

x = 1/2 ±√ -39/4

No real solutions.

Y’ALL MIND TO HELP ME I HATE SCHOOL SO MUCH THAT IT MAKES ME WANT TO STAB MYSELF WITH A FORK BECAUSE I DONT UNDERSTAND ANYTHING IN THIS. anyway can y’all help me wit this ? I would appreciate it

Answers

Answer: Are you in summer school pfft

Step-by-step explanation: I won’t help you cheat

if a man walks for 6 miles at a steady speed of 3 mph how long will it take him

Answers

Answer:

It will take 2 hours

Step-by-step explanation:

6/3 = 2

Answer:

2 hours

Step-by-step explanation:

3 miles + 3 miles = 6 miles

1 hour + 1 hour = 2 hours

Please help! Correct answer only!
Out of 250 tickets in a raffle, one ticket will win a $190 prize, one ticket will win a $120 prize, one ticket will win a $90 prize, and one ticket will win a $50 prize. The rest will win nothing. If you have a ticket, what is the expected payoff?


$____

Answers

Answer:

$1.80

Step-by-step explanation:

(190+120+90+50)/250= a total expected payoff of 1.8 dollars. Hope this helps!

HELPP I don’t get this at all. I originally got c but my teacher said it was incorrect. This is about volume and cylinders. Explanation needed

Answers

Answer:

B

Step-by-step explanation:

The formula for the volume of a cylinder is [tex]\pi r^2 h[/tex], where r is the radius of the base and h is the height of the cylinder.

[tex]\pi \cdot 3.25^2 \cdot 10=105.625\pi \text{ cm}^3[/tex]

Therefore, the correct answer is choice B. Hope this helps!

Answer:

I believe it is b

A 200 pound person weighs 33 pounds on the moon.​ Type the answers in the boxes below. 1. How much did the person's weight decrease?By what percentage did the person's weight decrease? Round the answer to the nearest percent.

Answers

Answer:

83.5%

Step-by-step explanation:

200-33= 167

167/200=x/100

167/2= 83.5

about 83.5%

Plss brainliest

The total weight of the person decrease is 167 pounds and the percentage by which person's weight decrease is 84%.

What is percentage decrease?

Percentage decrease is the value which is deducted or reduced from the initial value in the percentage part.

The weight of the person is 200 pound. The person's weighs on the  moon is 33.​

The person's weight decrease-

The change in the weight of the person is the difference of weight of the person and weight of the person on moon. Thus the change in weight of the person is,

[tex]\Delta W=200-33\\\Delta W=167[/tex]

The percentage did the person's weight decrease-

The change in person's weight is 167 pounds and the original weight of the person is 200 pounds. Thus the percentage change is,

[tex]\Delta W=\dfrac{167}{200}\times100\\\Delta W=83.5\%\\\Delta W\approx84\%[/tex]

Thus, the total weight of the person decrease is 167 pounds and the percentage by which person's weight decrease is 84%.

Learn more about the percentage decrease here;

https://brainly.com/question/11360390

Use factoring to solve. *

x^2-4x-12=0

please only give me the right answer I really need it

Answers

Answer:
x = 6, -2

Explanation:
x^2 - 4x - 12 = 0
(x - 6)(x + 2) = 0

Answer:

(6, -2)

Step-by-step explanation:

x^2-4x-12=0. 1 from 1x. -4 from -4x

(x - 6)(x + 2) = 0 1 * -12 = -12. -4

x - 6 = 0 -6 * 2 = -12. -6 + 2 = -4

+ 6 +6

x = 6

x + 2 = 0

-2. -2

x = -2

Select the correct answer.
For which value of b can the expression x2 + bx + 18 be factored?

Answers

Answer:

11x

Step-by-step explanation:

(x + 2)(x + 9)

x2 + 9x + 2x + 18

x2 + 11x + 18

This is one possibility :)

A college's lacrosse team will play 23 games next spring. Each game can result in one of 2 outcomes a win or a loss. Find the total
pos ble number of outcomes for the season record

Answers

Answer: 529 possible outcomes

Step-by-step explanation:

You square the number of games as many times as the outcomes (win or loss)

2 outcomes = 23 * 23

23 * 23 = 529

Since there are 2 outcomes, you multiply 2 23’s together to get the number of possible ways.

529 .
Basically all you do is find an even number of possible wins and loses. 23 games with two outcomes 23*23=529

Evaluate the trigonometric expression. Round your answer to four decimal places.
10 tan 20º =
a0

Answers

Answer:

3.6397

Step-by-step explanation:

10 tan (20°) = 3.6397

you have a 5-inch by 7-inch picture that you framed. When you hung the picture, you found that the entire area is 69.56 in. What is the width of the frame?​

Answers

Answer:

d. 2.4 in

Step-by-step explanation:

So initially w/o frame the area was 5 x 7 = 35 sq in.

Now we have to add the width of the frame to both dimensions.

(5+w)(7+w) = 69.56 sq in

35 + 7w + 5w + w² = 69.56

w² + 12w + 35 = 69.56

w² + 12w - 34.56 = 0

I use the quadratic formula to solve this (x = -b±√b²-4ac / 2a). I cheat by using a quadratic program on the calculator :,)

w = 2.4

w = -14.4

Since we can't have a negative width, the answer must be w = 2.4 inches.

You can also just plug the answer choices one-by-one into the calculator with guess-and-check because this is multiple choice.

Answer:  d) 2.4 inches

Step-by-step explanation:

Let x represent the width of the frame

Then the area of the frame is:

(x + 5)(x + 7) = 69.56

Rewrite it in Standard form of a quadratic equation:

x² + 12x + 35 = 69.56

x² + 12x - 34.56 = 0

Use Quadratic Formula to solve for x:

[tex]x=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-12+\sqrt{12^2-4(1)(-34.56)}}{2(1)}\\\\\\x=\dfrac{-12+\sqrt{282.24}}{2}\\\\\\x=\dfrac{-12+16.6}{2}\\\\\\x=\dfrac{4.8}{2}\\\\\\x=\large\boxed{2.4}[/tex]

I don’t know if this is correct !!!! Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:

1 correct

Step-by-step explanation:

switch 2nd and 3rd

2nd is positive and negative interval Jada needs to sell more than 3 kg in order to make a profit

3rd increasing and decreasing interval the more paprika Jada sells the more profit she makes

I need A and B. Thanks

Answers

Answer:

A: its 13 cm

B:15cm

Step-by-step explanation:

A: its because its on a slight incline

B:again its on a big incline


1) 2x – y = 1
2x +2y = 10


2) 5x – y =15

x + y = -3


please do both of these with explanation!!

Answers

Answer:

1) (2, 3)

2) (2, -5).

Step-by-step explanation:

2x – y = 1

2x +2y = 10   Subtract to eliminate  the 2x:

2x - 2x - y - 2y = 1  - 10

-3y = -9

y = 3.

Plug this into the first equation:

2x - 3 = 1

2x = 4

x = 2.

2)

5x – y =15

x + y = -3     Adding to eliminate y:

5x + x - y + y = 15 + -3

6x = 12

x = 2

Plug this into the first equation:

5(2) - y = 15

-y = 15 - 10 = 5

y = -5.

What is the simplified expression for 5 a b + 9 a b minus a b?

Answers

Answer:

13ab

Step-by-step explanation:

5ab+9ab-ab=ab(5+9-1)=13ab

One circle has a diameter of 10 inches. A second circle has a diameter that is twice the diameter of the first circle. What is the ratio of the area of the smaller circle to the larger circle?

Answers

Answer:

[tex]78.54:314.16[/tex]

Step-by-step explanation:

First circle area with diameter 10 inches =

[tex]\pi r^2[/tex]

[tex]\pi \times 5^2[/tex]

[tex]=78.53981[/tex]

Second circle area with diameter 20 inches =

[tex]\pi r^2[/tex]

[tex]\pi \times 10^2[/tex]

[tex]=314.159265[/tex]

[tex]78.53981:314.159265[/tex]

Answer:

78.5 : 314.2

Step-by-step explanation:

Diameter of the first Circle = 10 inches

Diameter of the second Circle = 2(10) [TWICE] = 20 inches

So,

Area of the first circle:

Radius = 5 inches

Area = πr²

A = (3.14)(5)²

A = 78.5 inches²

Area of the second circle:

Radius = 10 inches

Area = πr²

Area = (3.14)(10)²

Area = 314. 2 inches

Now the ratio of the area of smaller circle to the larger circle is

78.5 : 314.2

Definitions of ASA SAS AAS, can someone dumb it down plz?

Answers

Answer:

Hope this helps.

Step-by-step explanation:

So for ASA, the two triangles have to have two angles congruent, and in the middle of those angles, they have to have a line that's congruent.

For SAS, the two triangles have to have two lines congruent, and in the middle of those lines, they have to have an angle that's congruent.

For AAS, the two triangles have to have two angles congruent, but the line that's congruent has to be on the side, not in the middle.

Miss penny inherits £450 she decides to save some of the money and spend the rest. The ratio of savings to spending money is 9:6 How much does she save and how much does she spend?

Answers

Answer:

she spent £270.

Step-by-step explanation:

First, let us define what a ratio of 9:6 means.

when you have a ratio such as this, you have to add both ratios first:

9+6 = 15

This means that out of every 15 parts, the ratio of the sharing is 9 parts to 6 parts.

Now let us solve the problem

Savings to spending = 9:6

if total amount = m

ratio saved = 9/15 × m

ratio spent = 6/15 × m

Now total amount (m) = £450

∴ ratio saved = 9/15 × 450 = 4050/15 = £270

Therefore she spent £270.

To calculate the amount saved, we simply subtract 270 from 450, or we use (6/15 × 450). You can try it out to see if you get the same answer, which is she spent £180

LAST QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS

2. All of the following constructions start with a line segment except what?
A) constructing a line perpendicular to a point on a line
B) constructing equilateral triangles

Answers

I think it’s a because it sounds right idk

Answer:

A) Constructing a line perpendicular to a point on a line

Please solve each algebraically : a) 5w= 30 b) 3x - 5 = 16 c) 10 - t = 17 d) n/5 = 18 e 4w -12 =2w + 3 THANK YOU!

Answers

Answer:

w=6, x=7, t=7, n=90, w=15/2

Step-by-step explanation:

a) 5w = 30

30/5 = 6

w=6

b) 3x-5=16

Add 5 to each side.

3x+5=16+5

3x=21

21/3=7

x=7

c) 10-t=17

10-t=17

17-10-7

-t=-7

Negative and a negative is a positive.

t=7

d) n/5 = 18

n=18 * 5

n=90

e.) 4w-12=2w+3

4w=2w+3+12

4w=2w+15

4w−2w=15

2w=15

w= 15/2

Find x. 4 square root 3 2 square root 3 8 8 square root 3

Answers

Answer:

8

Step-by-step explanation:

[tex]sin \: \alpha = \frac{opp}{hyp} \\ sin \: 30 = \frac{4}{x} \\ \frac{1}{2} = \frac{4}{x} \\[/tex]

[tex] x = 4 \times 2 \\ x = 8[/tex]

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