Ian has 20 football cards, and Jason has 44 baseball cards. They agree to trade such that jason
gives Ian 2 baseball cards for every card Ian gives to Jason. After how many such trades will Ian
and Jason each have an equal number of cards?

Answers

Answer 1

Answer:

12 trades

Step-by-step explanation:

Let's call 'x' the number of trades they will do.

After each trade, the number of cards Ian has increase by 1 (he gives 1 but receives 2), and the number of cards Jason has decrease by 1 (he receives 1 but gives 2), so after x trades, the number of cards Ian has is 20 + x, and Jason has 44 - x.

To find the number of trades when they will have the same amount of cards, we have that:

20 + x = 44 - x

2x = 24

x = 12 trades

Answer 2

The number of trades will Ian  and Jason each have an equal number of cards is 12 trades

The calculation is as follows;

Let's us assume the x' be the number of trades they will do.

 

20 + x = 44 - x

2x = 24

x = 12 trades

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Related Questions

Solve for x in the equation 3 x squared minus 18 x + 5 = 47.
(I need this to be an answer like X=3+\_ square root 23)

Answers

Answer:

(4+√142)/(3) or x=(4-√142) /3

Step-by-step explanation:

(4+√142)/(3) or x=4-√142 /3

The sum of the digits of a two-digit number is 14. If the number formed by reversing the digits is less than the original number by 18. Find the original numbers.

Answers

Answer: Dear friend my answer for this question is 86.

Step-by-step explanation:Let the two digits of two digit number be, 10s digit x and 1s digit y.

x + y = 14

x = 14 - y…..Eq..1

The nuber formed is 10x + y

If the number formed by reversing the digits is 18 less than the original number, what is the original number

On reversing the digit the number will be 10y + x

10y + x + 18 = (10x + y)

10y + x = 10x + y - 18

10y - y + x - 10x = - 18

9y - 9x = -18…Eq..2

Now substituting the value of x from Eq..1 to Eq..2

9y - 9 (14 - y) = - 18

9y - 126 + 9y = - 18

18y = 126 - 18

18y = 108

y = 108/18

y = 6

Thus 1s digit if the number is 6

Substituting the derived value of y in Eq..1 to derive value of x.

x = 14 - y

x = 14 - 6

x = 8

The 10s digit if two digit number is 8.

The original number formed is 86.

On reversing the digits, the number transform to 68, which is 18 less than original number

Answer the original number is 86.

Find the gradient of the line segment between the points (0,2) and (2,-8).

Answers

Answer:

slope = - 5

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (2, - 8)

m = [tex]\frac{-8-2}{2-0}[/tex] = [tex]\frac{-10}{2}[/tex] = - 5

The value of the gradient is -1/5.

How to find the gradient of a line?

In order to find the gradient of a line either of the two ways can be used. First, the equation of line should be written in terms of y, then the coefficient of x is the gradient.

The other method is to find the two points on the graph and then take the ratio of the difference of corresponding coordinates.

The given points are (0,2) and (2,-8).

Since the gradient of the line segment between points (x₁, y₁) and (x₂, y₂) is given as,

Gradient = (y₂-y₁)/(x₂-x₁)

Substitute the corresponding values to obtain,

Gradient = (2-0)/(-8-2)

               = -2/10

               = -1/5

Hence, the gradient of the line segment joining the points (0,2) and (2,-8) is -1/5.

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Look at picture, please help

Answers

Answer:

x = 32

Step-by-step explanation:

Three angles have been shown in the figure which are located at a point of a straight line.

By the property of angles on a straight line,

Sum of the angles shown = 180°

(3x - 20)° + 30°+ (2x + 10)° = 180°

(3x + 2x) + ( -20 + 30 + 10) = 180

5x + 20 = 180

5x = 180 - 20

5x = 160

x = [tex]\frac{160}{5}[/tex]

x = 32

Therefore, x = 32 will be the answer.

Answer:

[tex]x = 32 \: \: degrees[/tex]

Step-by-step explanation:

Angels in a straight line =180°

[tex]3x - 20 + 30 + 2x + 10 = 180 \\ 5x + 20 = 180 \\ 5 x = 180 - 20 \\ 5x = 160 \\ \frac{5x}{5} = \frac{160}{5} \\ x = 32[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

(URGENT) Madelina wants to make a prediction using a linear model with a correlation coefficient of 0.55.

Which statement best describes how accurate she can expect her prediction to be?


Her prediction will probably be close to the actual value.

Her prediction will be unlikely to be close to the actual value.

Her prediction will be somewhat likely to be close to the actual value.

Her prediction will very likely be close to the actual value.

Answers

Answer:

Her prediction will be somewhat likely to be close to the actual value.

Step-by-step explanation:

A correlation coefficient of 0.55 implies a weak positive correlation, because it's close to 0.50. Remember that strong correlations are 1 or -1, positive or negative, and the middle of the interval represents no correlation.

Having said that, 0.55 indicates some correlation, but weak. Therefore, the right answer is C.

Her prediction will be somewhat likely to be close to the actual value.

We have given that,

Madelina wants to make a prediction using a linear model with a correlation coefficient of 0.55.

We have to determine the correct statement.

What is the correlation coefficient?

The correlation coefficient is a statistical measure of the strength of the relationship between the relative movements of two variables.

A correlation coefficient of 0.55 implies a weak positive correlation because it's close to 0.50. Remember that strong correlations are 1 or -1, positive or negative, and the middle of the interval represents no correlation.

Having said that, 0.55 indicates some correlation, but weak.

Therefore, the right answer is C.

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Someone just give answer, no need to explain!

Answers

Answer:

X=55

Step-by-step explanation:

90 + 35 + X=180

125+X=180

X=55

Answer:

x = 55'

Step-by-step explanation:

x+ 35 = 90 ( because there is perpendicular sign which is 90)x = 90 - 35(when 35 is sent into another side it will be -)

x = 55

Hope it helps you!

please help a struggling man​

Answers

Answer:

x is all real numbers

Step-by-step explanation:

The domain is the input to the function.  It is the values that x can take.

For this function, x can be any real value

a factor of 30 is chosen at random, what is the probability that the number has 2 digits?

Answers

Answer:

3/8

Step-by-step explanation:

Let's first start by figuring out all the factors of 30.

They are as follows: 1, 2, 3, 5, 6, 10, 15, 30

30 has 8 factors in total.

3 of the factors have 2 digits.

Probability is number of desired outcomes/number of total outcomes.

We have 3 desired outcomes and 8 total outcomes.

Therefore, the probability that the factor chosen at random will have 2 digits is 3/8.

Are the following figures similar? (1 point)

Yes; the corresponding angles are congruent
No; the corresponding angles are not congruent
yes; the corresponding sides are proportional
no; the corresponding sides are not proportional ​

Answers

Answer:

yes the corresponding angles are congruent...

it can be wrong

Yes, all the angles are right angles, so they are congruent. And the corresponding sides are proportional because they have a ratio of 5:3.

Can someone help me with these

Answers

Answer:

Problem 2) : the gradient is "-2", and the y-intercept is "3"

Problem 3)

A is  [tex]y=2x+2[/tex]

B is [tex]y=x+2[/tex]  

Step-by-step explanation:

Problem 2)

In the line given by the equation:   [tex]y=-2x+3[/tex]

the "gradient" (also known as "slope") is the numerical coefficient that multiplies the variable "x". So in this case the gradient is "-2"

the y-intercept is the numerical term "+3" because that is the y-value result of evaluating the expression for x = 0

[tex]y=-2x+3\\y=-2\,(0)+3\\y=3[/tex]

Problem 3)

Consider the two lines :

[tex]y=x+2[/tex]  and  [tex]y=2x+2[/tex]

notice that both have the same y-intercept (that is the numerical term "2" at the end of both expressions. That means that both lines cross the y-axis at the point y=2.

Now notice that the gradient of one of them is "1"  (for [tex]y=x+2[/tex] ) that is the coefficient that multiplies the variable "x". While for the other line ( [tex]y=2x+2[/tex])  the gradient is "2" and therefore steeper than the previous one.

Then, the line identified as "A" which is the one with steeper gradient, corresponds to the equation   [tex]y=2x+2[/tex], and the line identified with "B" is the one with smaller gradient  [tex]y=x+2[/tex]  .

The perimeter of the triangle shown is 40 meters. Write an equation to represent the
perimeter and then solve for the value n.


The sides of the triangle are 11m, (2n+3)m and 16m

Answers

Answer:

15m

Step-by-step explanation:

perimeter=total distance round a figure

40m=11m+16m+2n+3m

40m=30m+2n

50m-30m=2n. 30=2n. (divide both sides by 2 to get). n=15m

Write as an algebraic expression

Answers

Answer:

17. [tex]2^{6}[/tex]

19. 2 * 5

21. 8²

Probability Race game
Read the whole thing. Question 2 will be posted separately to make the question simple.

Question 1:
Why should you not play this game with Roland? Use probability to prove that
the game is unfair and Roland is likely to win. SHOW ALL YOUR WORK!

Answers

Answer:

see below

Step-by-step explanation:

There are 36 possible outcomes when rolling 2 die

P( number) = number of times the sum appears / total outcomes

p(1) =0/36

P(2) = 1/36

p(3) = 2/36

p(4) = 3/36

p(5) = 4/36

p(6) = 5/36

p(7) = 6/36

p(8) = 5/36

p(9) = 4/36

p(10) = 3/36

p(11) = 2/36

p(12) = 1/36

Since he picked first he has the greatest odds so he is most likely to win

Wang Xiu Ying is gift wrapping boxes in the shape of a cube for her class fundraiser. She calculates that the surface area, S SS, in square feet, of a cube-shaped box with a side of m mm feet is given by the function S ( m ) = 6 m 2 S(m)=6m 2 S, left parenthesis, m, right parenthesis, equals, 6, m, squared. She also finds that the cost, C CC, in dollars, of wrapping a box with a surface area of x xx square feet is given by the function C ( x ) = 0.15 x + 0.25 C(x)=0.15x+0.25C, left parenthesis, x, right parenthesis, equals, 0, point, 15, x, plus, 0, point, 25. Find an explicit expression that models the costs of wrapping a cube shaped box with a side length of m mm feet.

Answers

Answer:

[tex]C(m)=0.9m^2+0.25[/tex]

Step-by-step explanation:

The surface area of a cube-shaped box with a side of m feet is given by the function:

[tex]S(m)=6m^2[/tex]

The cost, C, in dollars, of wrapping a box with a surface area of x square feet is given by the function:

[tex]C ( x ) = 0.15 x + 0.25[/tex]

We want to find an explicit expression that models the costs of wrapping a cube-shaped box with a side length of m feet.

In the cost function, C(x), x is the surface area, therefore:

[tex]S(m)=x;$ and$\\C ( S(m) ) = 0.15(6m^2) + 0.25\\C(m)=0.9m^2+0.25[/tex]

To find the cost of wrapping a cube of side length m feet, we use the explicit function:

[tex]C(m)=0.9m^2+0.25[/tex]  

Please answer if you know..?

Answers

Answer:

B→A

Step-by-step explanation:

I'm pretty confident in my answer.

I’m pretty sure the awnser is A!??

1. When simplified, 17a - 14b - 20a - 2b is equal to

Answers

Answer:

- 3a -16b

Step-by-step explanation:

Write each as an algebraic expression

Answers

Answer:

4^3

11>6

y>2

13-x

Step-by-step explanation:

4 is to the third power

11 is greater than 6 which means u use this sign >

y is greater than 2

13 subtract x

AD←→ is tangent to circle M at point D. The measure of ∠DMQ is 58º.


What is the measure of ∠DQM ?

Answers

Answer:

32°

Step-by-step explanation:

Given:

∠DMQ = 58º

In this circle, the radius is DM. Since AD is tangent to the circle M, at point D, and the angle between a tangent and a radius is 90°

Therefore, ∠MDQ = 90°

The total angle in a triangle is 180°. Since we have the values of ∠MDQ and ∠DMQ, ∠DQM will be calculated as:

180 = ∠DMQ + ∠MDQ + ∠DQM

Solving for ∠DQM, we have:

∠DQM = 180 - ∠DMQ - ∠MDQ

∠DQM = 180 - 90 - 58

∠DQM = 32°

The measure of ∠DQM is 32°

x-2>2x+12
solve for x

Answers

Answer:

-14 >x

Step-by-step explanation:

x-2>2x+12

Subtract x from each side

x-2-x > 2x+12-x

-2 > x+12

Subtract 12 from each side

-2-12 > x

-14 >x

Zoe mows lawns in the summer to earn extra money. She usually charges $15 per week, but she offers a special rate of $59.50 if a customer prepays for 5 weeks. How much does a customer pay for each week with the special rate? (Please enter your answer without units.) *

Answers

Answer:$11.90 each week for 5 weeks

Step-by-step explanation:

$59.50/5 = $11.90

Plzzzz helppp urgent❤️

Answers

Answer:

a

Step-by-step explanation:

Answer: 34 inches

Step-by-step explanation:

1 inch is equal to 2.54 centimeters

Divide 86.75 by 2.54 to get how many inches

86.75 / 2.54 = 34.15 inches

34.15 rounds down to 34

Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

I'll send a screenshot of the problem. I really look forward to an answer!

Answers

Answer:

a. 65

b. D

Step-by-step explanation:

The question asks for an expression that solves for the profit that the company will make from each phone. The expression would be 65x, where 65 represents $65 profit from each phone, since $50 is spent and $115 is made, 115-50 gives you the profit, $65

D is the answer because the question asks for the expression that shows the earnings, or how much is made from each phone

LAST QUESTION!!WILL GIV BRAINLIEST!!! AT LEAST LOOK!!! SHARE YO SMARTNESS!!! EASY BUT IM DUMB!!!!!!


Using the segment addition postulate, find the value of x.


HI = 6x + 8

IJ = 2x - 4

HJ = 124

A) 15

B) 16

C) 9



HINT THAT I WAS GIVEN: The segment addition postulate states that the lengths of the pieces of a segment will add up to the length of the entire segment.

Answers

Answer:

A. 15

Step-by-step explanation:

HI and IJ are both segments in the line HJ so HI and IJ combined equal the total length of HJ. This means we can write an equation using HI and IJ and setting them equal to HJ.

6x + 8 + 2x - 4 = 124

next step is to combine like terms:

8x + 4 = 124

then, subtract 4 from both sides.

8x + 4 = 124

     -4       -4

8x = 120

finally, divide both sides by 8.

8x/8 = 120/8

x = 15

since it is equal to x, 15 is your solution!

(-3)³ + (-4)² - (-2)³

Answers

Answer:

[tex]=-3[/tex]

Step-by-step explanation:

[tex]\left(-3\right)^3+\left(-4\right)^2-\left(-2\right)^3\\Follow\:the\:PEMDAS\:order\:of\:operations\\\mathrm{Calculate\:exponents}\:\left(-3\right)^3\::\quad -27\\\left(-3\right)^3\\\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\mathrm{if\:}n\mathrm{\:is\:odd}\\\left(-3\right)^3=-3^3=-27\\=-27+\left(-4\right)^2-\left(-2\right)^3\\\mathrm{Calculate\:exponents}\:\left(-4\right)^2\::\quad 16\\\left(-4\right)^2[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=a^n,\:\mathrm{if\:}n\mathrm{\:is\:even}\\\left(-4\right)^2=4^2=16\\=-27+16-\left(-2\right)^3\\\mathrm{Calculate\:exponents}\:\left(-2\right)^3\::\quad -8\\\left(-2\right)^3\\\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\mathrm{if\:}n\mathrm{\:is\:odd}\\\left(-2\right)^3=-2^3=-8\\=-27+16-\left(-8\right)\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:-27+16-\left(-8\right)\::\quad -3\\-27+16-\left(-8\right)[/tex]

[tex]-27+16=-11\\=-11-\left(-8\right)\\\mathrm{Apply\:rule\:}-\left(-a\right)\:=\:+a\\-\left(-8\right)=+8\\=-11+8\\-11+8=-3\\=-3[/tex]

The answer is -3 let me know if you need to show work

What is the perimeter of the triangle?

Answers

Answer:

P = 36 units

Step-by-step explanation:

Pythagoras

ip = √(12² + 9²)

= √(144 + 81)

= √225

= √15²

= 15 units

P = 9units + 12units + 15units = 36 units

Can someone please help me please please

Answers

Answer:

AA similarity postulate

Step-by-step explanation:

B and D are corresponding angles who both have measures of 50 degrees, which makes one pair of angles for this postulate. The other pair are ACB and ECD, because they are vertical angles and therefore congruent. Since when two angles in two triangles are the same, the third must be the same as well, these triangles must be similar. Hope this helps!

what is 2 7/8 x 2/3

Answers

Answer:

2.25

Step-by-step explanation:

HELP ME ASAP FOR BRANETEST I MEAN IT >_

Answers

Answer:1 1/6

Step-by-step explanation:

Share £90 in the ratio 1:5
HELP ME PLEASE

Answers

Answer:

the answer is 15:75

Step-by-step explanation:

(1+5)=6

£90/6=15

So, (1×15):(5×15)

=15:75

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