hector and alex traded video games. alex gave hector one fourth of his video games in exchange for 6 video games. then he sold 3 video games and gave 2 video games to gis brother. alex enbed up with 16 video games. how many video games did alex have when he started?​

Answers

Answer 1

Answer:

20 games

Step-by-step explanation:

Lets work backwards; *Adding what he gave away or lost*

-Alex started with 16 video games

-Add the games gave to his brother (+2)

-Add the games he sold (+3)

-The number is 3/4 of his games

-Subtract the games he traded with hector (-1/4)

Equation: 16+2+3-6= 3/4 X (variable) *You can choose other than X*

21-6 = 15

15 = 3/4

Take the reciprical of 3/4 which is 4/3 and multiply it by both sides

4/3 x 15 = 3/4 x 4/3

4/3 X 15 = 20!

ALEX STARTED WITH 20 GAMES!


Related Questions

-3y + 8x = 36
6x + y = -21

Answers

Answer:

x=−27/26

and y=−192/13

Step-by-step explanation:

6x+y=−21;8x−3y=36

Step: Solve6x+y=−21for y:

6x+y=−21

6x+y+−6x=−21+−6x(Add -6x to both sides)

y=−6x−21

Step: Substitute−6x−21foryin8x−3y=36:

8x−3y=36

8x−3(−6x−21)=36

26x+63=36(Simplify both sides of the equation)

26x+63+−63=36+−63(Add -63 to both sides)

26x=−27

26x

26

=

−27

26

(Divide both sides by 26)

Help me solve this problem please

Answers

Answer:

the answer is x= -3

y = -14

can somone please help me with this, I will give brainliest.
Graph the line that represents a proportional relationship between d and t with the property that an increase of 3 units in t corresponds to an increase of 8 units in d.

What is the unit rate of change of d with respect to t? (that is, a change of 1 unit in t will correspond to a change of how many units in d?)

The unit rate of change is blank.

Graph the relationship.​

Answers

Answer:

3/8 I believe.

Step-by-step explanation:

List the first 4 terms of a geometric sequence with a first term of 2 and a common ratio of 5.
I have no clue even where to start. The question after that is the same, except the first term is 4 and the common ratio is 4.

Answers

Answer:

pohujnkmhugyfdtr

Step-by-step explanation:

The first 4 terms of the geometric sequence with a first term of 2 and a common ratio of 5 are 2, 10, 50, 250

using the geometric sequence formula,

aₙ = arⁿ⁻¹

where

a = first term = 2

r = common ratio  = 5

let find the remaining 3 terms

The 2nd term can be found below

a₂ = 2 × 5²⁻¹ = 2 × 5 = 10

The 3rd term can be found below

a₃ = 2 × 5³⁻¹ = 2 × 25 = 50

The 4th term can be found as follows

aₙ = 2 × 5⁴⁻¹ = 2 × 125 = 250

Therefore, the first 4 terms are 2, 10, 50, 250.

read more: https://brainly.com/question/19799925?referrer=searchResults

The equation y = 8.1x models the relationship between the number of hours Alexander works, x, and the dollar amount he earns, y. Which is the graph of the equation y = 8.1x?

Answers

Answer:

its B

Step-by-step explanation:

the second graph

Answer: B

Step-by-step explanation:

Please help!! I've attached a picture of the problem

Answers

Answer: BC=8 units

Step-by-step explanation:

So in this figure, this triangle, that is a parallelogram named DFCE , and one of their property three yeti you add learn you learned is that a parallelogram has like rectangle two sides per two that are parallel and have the same measure ( but you can also use the little lines that show who is the same as who ) in this one you can write an equality: CE=FD=4. Then there is the same two lines on the EB segment so EB=4 . Then we can write that BC= BE + EC

BC= 4+4

BC= 8 units

I’m not English so I tried explaining as simple as possible sorry if you didn’t understand :/

Find the perimeter of the given figure, round to the nearest tenth

Answers

Answer:

2√424 + 62 ≈ 103.1825205639 ≈ 103.2 units

Explanation:

Given the two baselengths, and the perpendicular height of the trapezoid, you can actually find the perimeter through the pythangorean theorem because the perpendicular height or height that forms a right or 90 degree angle makes a right triangle(2 be exact because this is an isoceles trapezoid which has two adjacent right triangles).

This is true of the trapezoid is icosceles.

Answer:

You cannot find the perimeter with numbers given.

Step-by-step explanation:

The top length, base length, and height are not sufficient to determine the perimeter of a trapezoid

Question 1

Which point could be removed in order to make the relation a function?
{(-4,3), (-5, 6), (1, 0),(-4,5), (9,5), (0, -7)}

Answers

Answer:

Either (-4, 3) or (-4, 5).

Step-by-step explanation:

A function is a relation when each input has exactly one output. The inputs must not repeat in a function.

In the relation given, the input '-4' repeats.

{(-4,3), (-5, 6), (1, 0),(-4,5), (9,5), (0, -7)}

If we remove either (-4, 3) or (-4, 5), it would make the relation a function.

Hope this helps.

Classify the sequence {an) = {10,4,8/5,16/25,...} as arithmetic, geometric, or neither. If there is not enough information to classify the sequence, chose not enough information.
-
-
-
A. arithmetic
B. geometric
C. neither
D. not enough information

Answers

the answer is arithmetic

It is a geometric series.

The ratio of the second to first term is= [tex]\frac{4}{10}=\frac{2}{5}[/tex]

The ratio of the third to second term is= [tex]\frac{\left(\frac{8}{5}\right)}{4}=\frac{2}{5}[/tex]

The ratio of the fourth to third term is=[tex]\frac{\left(\frac{16}{25}\right)}{\left(\frac{8}{5}\right)}=\frac{2}{5}[/tex]

Since the common ratios are same so it is a geometric series.

Learn more: https://brainly.com/question/8806877

Two functions are shown below. f(x) = 6x + 3 g(x) = 3x - 2 What is the product of f(3) and g(- 4) B. 210 -210 294

Answers

Answer:

f(3)=21

g(-4)=-14

Step-by-step explanation:

Hope this helps

Vanessa earns a base salary of $400.00 every week with an additional %5, percent commission on everything she sells. Vanessa sold $1650.00 worth of items last week. What was Vanessa's total pay last week?

Answers

Answer:

$482.50

Step-by-step explanation:

Base salary: $400

5% of 1,650 is 82.50

.05 x 1,650 = 82.50

Commission : $82.50

Equation: 400 + 82.50 = $482.50

what does congruent mean in geomatry?

Answers

Answer:

Congruent means same shape and same size. So congruent has to do with comparing two figures, and equivalent means two expressions are equal. So to say two line segments are congruent relates to the measures of the two lines are equal. Comment on David Severin's post “Congruent means same shape and same size.

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Your Welcome;)

Please help! Will give brainliest!

Answers

Answer:

Step-by-step explanation:

IM GIVING BRAINLIEST!!
What two integers between -100 and -20 could be divided to equal a number close to 0?

Answers

-75 and -25, -75/-25=3
I hope this helps

There are 18 marbles in a box. Six of the marbles are red and four of the marbles are blue.
What is the probability that a randomly selected marble will not be blue or red?

Answers

Answer:

4/9 ..................

Warm-Up: Solve each equation for x.
1. x + 5 = 15

Answers

X+5=15
-5 -5
X=10
Hope this helps!!

Answer:

x = 10

Step-by-step explanation:

x + 5 = 15

x = 15 - 5

x = 10

Thus, x = 10

-TheUnknownScientist

how does the percent equation relate to proportional quantities?

Answers

Answer:

Step-by-step explanation:

Use cross product to determine if the two ratios form a proportion. Here we can see that 2/16 and 5/40 are proportions since their cross products are equal. Percent means hundredths or per hundred and is written with the symbol, %. Percent is a ratio were we compare numbers to 100 which means that 1% is 1/100.

Answer:

The proportion is a general case of percentage.

Step-by-step explanation:

Proportion is a general case of percentage.

It describes how much of the total a particular sample is.

For example, if a pie contains eight slices and you have five, the proportion is 5/8.

You have a total of five out of eight.

A percent (the number of parts out of 100) is a special case of proportion where the denominator (“whole”) equals 100 parts.

I suspect that percentages were created to allow a normalized comparison of proportions when the total number of parts was not the same.

Imagine a small pizza with 6 slices and a large pizza with 8 slices.

If Tom got 4 from the first and Ram got 5 from the second, it is not immediately clear who got more from the second.

Converting 4/6 and 5/8 to percentages (66.7 and 62.5) allows you to see when the denominator equals who got relatively "more".

Furthermore, I suspect that 100 was used because we live in a 10-base world (we have 10 fingers, which makes it natural).

2/9 • 2/3 what is the answer

Answers

It’s going to be 4/27.

Answer:

4/27

Step-by-step explanation:

I need some help plz

Answers

Answer:

i can't see the equation because of light pleas take again another pic

Answer:

B

Step-by-step explanation:

which of the following relations or graphs are functions

Answers

Answer:

Step-by-step explanation:

The functions are:

(a), (c), (d), (e).

Relations may or may not represent a function.

The relations that are functions are (a), (c), (d), (e)

Graph (a) shows a linear relationship, and all linear relations are functions.

Graph (b) fails the vertical line test, because an x value corresponds to multiple y values; so graph (b) is not a function.

Similarly, ordered pair (f) is not a function because an x value corresponds to multiple y values

Other relations (c), (d) and (e) are functions

Read more about relations and functions at:

https://brainly.com/question/10889102

Find the sine of J. Write your answer in rationalized form

Answers

Answer:

[tex]sin\:(J)\:=\:\frac{4\sqrt{5}}{7\sqrt{2}}[/tex]          

Step-by-step explanation:

As we know that

sinФ = opposite ÷ hypotenuse

Given the triangle with

Ф = JThe opposite of j is [tex]4\sqrt{5}[/tex]

The length of the hypotenuse of a right triangle can be calculated as:

[tex]c=\sqrt{a^2+b^2}[/tex]

[tex]c=\sqrt{\left(3\sqrt{2}\right)^2+\left(4\sqrt{5}\right)^2}[/tex]

[tex]c=\sqrt{3^2\cdot \:2+4^2\cdot \:5}[/tex]

[tex]c=\sqrt{18+80}[/tex]

[tex]c=\sqrt{98}[/tex]

[tex]c=\sqrt{7^2\cdot \:2}[/tex]

[tex]c=\sqrt{2}\sqrt{7^2}[/tex]

[tex]c=7\sqrt{2}[/tex]

so

sinФ = opposite ÷ hypotenuse

substituting the values Ф = J, opposite = [tex]\sqrt{5}[/tex], hypotenuse = [tex]c=7\sqrt{2}[/tex]

[tex]sin\:(J)\:=\:\frac{4\sqrt{5}}{7\sqrt{2}}[/tex]          

Therefore,

[tex]sin\:(J)\:=\:\frac{4\sqrt{5}}{7\sqrt{2}}[/tex]          

4x + (-3) = 5x + 3?????

Answers

Hi there! :)

[tex]\large\boxed{x = -6}[/tex]

Solve for x:

4x + (-3) = 5x + 3

Adding a negative number is simply subtracting, therefore:

4x - 3 = 5x + 3

Subtract 4x from both sides:

4x - 4x - 3 = 5x - 4x + 3

-3 = x + 3

Subtract 3 from both sides:

-3 - 3 = x + 3 - 3

-6 = x

Answer:

[tex]x=-6[/tex]

Step-by-step explanation:

Isolate the variable.

[tex]4x+(-3)=5x+3[/tex]

[tex]4x=5x+6[/tex]

[tex]0=x+6[/tex]

[tex]x=-6[/tex]

Hope this helps!

(2a + 3)^2

– (2a – 3)^2

.​

Answers

Answer:

24a

Step-by-step explanation:

The length, width, and height of a rectangular prism can be represented by the expression (x + 3), (x + 7) and (x - 1). write an expression to represent the surface area of the prism

Answers

Answer:

A=2wl+2lh+2hw

A=2(x+7)(x+3)+2(x+3)(x-1)+2(x-1)(x+7)

A=2(x^2+7x+3x+21)+2(x^2-x+3x-3)+2(x^2+7x-x-7)

A=2(x^2+10x+21)+2(x^2-2x-3)+2(x^2+6x-7)

Answer:

6x²+36x+22

Step-by-step explanation:

Surface Area = 2(wl + hl + wh)

Length = (x+3)

Width   = (x+7)

Height  = (x-1)

Surface Area = 2((x+7)(x+3) + (x-1)(x+3) + (x+7)(x-1))

Then simplify

2((x+7)(x+3)+(x−1)(x+3)+(x+7)(x−1))

=(2)((x+7)(x+3)+(x−1)(x+3)+(x+7)(x−1))

=(2)((x+7)(x+3))+(2)((x−1)(x+3))+(2)((x+7)(x−1))

=2x²+20x+42+2x²+4x−6+2x²+12x−14

=6x²+36x+22

Solve for x

-.02x = 1.6

Answers

Answer:

-8

Step-by-step explanation:

please answer seriously thanks !! will give brainliest

Answers

Answer:

Step-by-step explanation:

21) CD -  chord   (segment)

22)FG - line

23) EC  - segment -  diameter

24) AB - segment - radius

25) H - Point

26) A - Point

someone help plz plz plz plz

Answers

Answer:

slope is -55 balance decreases by $55 each month

Step-by-step explanation:

solve for slope using slope formula:

(620-895)/(6-1) = -275/5 = -55

decreases by $55 since that's the slope

hi! i know someone has already answered but i solved this on paper, i got the same answer! the slope should be -55 and the balance goes down 55 per month since the slope of the line is negative!

hope this helps and sorry if i was too late!

Kayla bought 2 books for $8.95 each, how much change would she get from a $20 bill?

Answers

Answer:

8.95 + 8.95 = 17.9

20 - 17.9

= $2.1

Rock bands often stack their speakers in an array. One teen banda
has 24 speakers. They stack them at least 2 high, but no taller than
8 high. What are all the different arrays they can make?
8 high. What are all the different arrays they can make?

Answers

Answer:

2*12

3*8

4*6

6*4

8*3

Step-by-step explanation:

PLEASE HELP ME!!!!!!!!!


x/30 = 150/100

Answers

Answer: 45

Step-by-step explanation:

Other Questions
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Did we not see for ourselves how he attemptedfortunately without successto get us defeated and destroyed at the Battle of the Cowshed?"The animals were stupefied. This was a wickedness far outdoing Snowball's destruction of the windmill. But it was some minutes before they could fully take it in. They all remembered, or thought they remembered, how they had seen Snowball charging ahead of them at the Battle of the Cowshed, how he had rallied and encouraged them at every turn, and how he had not paused for an instant even when the pellets from Jones's gun had wounded his back. At first it was a little difficult to see how this fitted in with his being on Jones's side. Even Boxer, who seldom asked questions, was puzzled. He lay down, tucked his fore hoofs beneath him, shut his eyes, and with a hard effort managed to formulate his thoughts."I do not believe that," he said. "Snowball fought bravely at the Battle of the Cowshed. I saw him myself. Did we not give him 'Animal Hero, First Class,' immediately afterwards?""That was our mistake, comrade. For we know nowit is all written down in the secret documents that we have foundthat in reality he was trying to lure us to our doom."Which statement best explains the passage's connection to life in the Soviet Union under Joseph Stalin?Snowballs interaction with the farmers parallels the way in which spies undermined Stalins power.Boxer's puzzlement shows that he does not believe that Snowball is a traitor, which represents peoples loyalty to Stalin.Snowball's bravery during the Battle of the Cowshed earns him an award, which reflects the fighting that occurred.Squealer's false claim that he has documents to prove that Snowball is a traitor reflects lies used to control people. please help !! thank you A horse gallops 8 miles in 30 minutes. How many hours would it take the horseto gallop28 miles? 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