The tape diagram represents the ratio of your monthly allowance to your friend's monthly allowance. The monthly allowances total $90. How much is each allowance?

you [][][][][]
friend[][][][]

*NOT MY WORK ITS FROM SOMEONE ELSE WHO ASKED THE SAME PROBLEM*

Answer: x=15, y= 10

Step-by-step explanation:

Answer: x=15, y=10

*Note: x and y are only variables used to solve this problem, but know that the two numbers are 15 and 10.

Step-by-step explanation:

For this problem, we can use system of equations. Let's use x for one number and y for the other.

First Equation:

x+y=25

We get this equation because it states that the sum of the two numbers is 25.

Second Equation:

y=x-5

We get this equation because it says one number (y) is 5 less than the other (x).

Since we have two equations, we can use substitution method to solve.

                                 [distribute 1 to (x-5)]

                                    [combine like terms]

                                        [add both sides by 5]

                                               [divide both sides by 2]

Now that we have x, we can plug it into any of the equations to find y.

                                         [plug in x=15]

                                        [subtract both sides by 15]

Finally, we have our answer, x=15 and y=10.

Answer:

[tex]2.\:\frac{41}{9}[/tex]

Step-by-step explanation:

Recall that [tex]\frac{x}{9}=\lfloor \frac{x}{9} \rfloor + 0.\overline{[x\:\mod9]}[/tex].

Therefore, [tex]4.\bar{5}=\frac{4\cdot 9 + 5}{9}=\fbox{$2)\:\frac{41}{9}$}[/tex].

Answer:

B is correct answer.................

Answer:

[tex]y=\frac{1}{3}x-8[/tex]

Step-by-step explanation:

Slope-intercept form of an equation is written as [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

The slope of a line that passes through the points [tex](x_1,\: y_1)[/tex] and [tex](x_2, \: y_2)[/tex] is [tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]. Using the coordinates [tex](6,-6)[/tex] and [tex](9,-5)[/tex] as given in the problem, we have slope of this line to be:

[tex]m=\frac{-5-(-6)}{9-6}=\frac{1}{3}[/tex].

Now using this slope we've found and any point the line passes through, we can find the y-intercept of this equation:

[tex]-6=\frac{1}{3}(6)+b, \\ b=-8[/tex]

Therefore, the equation of this line in slope-intercept form is [tex]\fbox{$y=\frac{1}{3}x-8$}[/tex].

9514 1404 393

Answer:

  2.  G  10.72 units

  3.  B  3.6, 6, 4.8

Step-by-step explanation:

2. The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the sides.

  14^2 = 9^2 + CB^2

  196 = 81 + CB^2 . . . . find the square values

  115 = CB^2 . . . . . . . . subtract 81

  √115 = CB ≈ 10.72 . . . . . matches G

__

3. You know that lengths 3, 4, 5 form a right triangle. This is a special triple for several reasons. One of them is that it is the smallest integer Pythagorean triple. Another is that it is the only Pythagorean triple that is an arithmetic sequence (has constant differences between lengths).

You can use this as a reference to look at the choices offered.

  A. The lengths 3.2, 4.1 and 5.0 have constant differences of 0.9. The shortest length is not 3 times this value, so this is not a right triangle.

  B. The lengths 3.6, 4.8, 6 have constant differences of 1.2. These numbers are 3, 4, and 5 times that difference, so these segments will form a right triangle.

  C, D. The longest length is an integer. The sums of the squares of the decimal values will not be integers, so these are not right triangles.

  4.5^2 +6.7^2 = 65.14  not 8^2

  5.2^2 +8.5^2 = 99.29  not 10^2

Answer:

16

Step-by-step explanation:

the answer is 16 Because 2 gallons is 16

Answer:

16 pts in 2 gallons

Step-by-step explanation:

There a 8 pints in 1 gallon, so in two gallons there would be 16 pts.

9514 1404 393

Answer:

  no; the variation is inverse

Step-by-step explanation:

Solving for y, the equation becomes ...

  y = 6/x

The variation is as the inverse of x. It is not direct variation.

Answer:

the correct answer will be B i took the test and got a 100%

Step-by-step explanation:

B. Lemon Brown has lived a more exciting life of a musician, while Greg’s father lives a more stable existence as a postal worker.

Answer:

the answer is neither

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

Answer:

B is the correct answer

Step-by-step explanation:

there y intercept are the same which is 4

The graph of x=2(y-4) has greater slope than the graph of x=5(y-4), the correct option is B.

The standard equation of a line is given by

y = mx+c

Here m is the slope and c is the y intercept

The slope can be determined by

m = (y₂ -y₁)/(x₂ -x₁)

The equation of the line is

x=2(y-4)

x=5(y-4)

y =  (1/2)x +4  

y = (1/5)x +4

The slope is (1/2) and (1/5),

(1/2) > (1/5)

To known more about standard equation of a line

https://brainly.com/question/12452575

#SPJ2

Answer:

500

Step-by-step explanation:

.

Answer:

A. 500

Step-by-step explanation:

We know that it can't be B. or C. since it has to be greater than 150, so (I know this isn't the way to do it) bet is you try multiplying your leftover answers you have by .3 you would see that 200 times .3 is  60, so that isn't it but 500 times .3 is 150!

I hope this helps and you have a great day! :)

Answer:

Step-by-step explanation:h

Answer:

d

Step-by-step explanation:

Answer:

114 boys

Step-by-step explanation:

This question can be solved using a rule of three.

For each 2 boys, there are 3 girls on the center. So, how many boys will be there when there are 171 girls?

2 boys - 3 girls

x boys - 171 girls

[tex]3x = 2*171[/tex]

Simplifying both sides by 3

[tex]x = 2*57 = 114[/tex]

There are 114 boys there

Answer:

-6.72 plzz mark me as Brainly

Step-by-step explanation:

Answer: the answer is 12

Step-by-step explanation: the answer is 12 because there are 12 inches in a foot.

Answer:

The reflection of point E across the y-axis is J(-2, 0).

Step-by-step explanation:

PLATO

Answer:

With what?

Step-by-step explanation:

Answer:

We conclude that the slope of line 'n' is: m₂ = 10

Step-by-step explanation:

Given

The slope of line m is: m₁ = 10

Let m₂ be the slope of the 'n' line.

We know that when two lines are parallel, they have equal slopes.

i.e.  m₁ = m₂

as

The slope of line m is: m₁ = 10

and

The lines are parallel

so

The slope of line 'n' is: m₂ = 10

Therefore, we conclude that the slope of line 'n' is: m₂ = 10

Answer:

Width of rectangle = 6 meters

Step-by-step explanation:

Let

Width of rectangle = x

Length of rectangle = 3x-2

Perimeter of rectangle = 44 meters

We need to find:

The Width of rectangle.

The formula used is:

[tex]Perimeter\:of\:rectangle=2(Length\times Width)[/tex]

Putting values and finding value of x

[tex]Perimeter\:of\:rectangle=2(Length\times Width)\\44=2(3x-2+x)\\44=2(4x-2)\\44=8x-4\\8x=44+4\\8x=48\\x=\frac{48}{8}\\x=6[/tex]

So, we get the value of x = 6.

We know that Width of rectangle = x = 6

So, Width of rectangle = 6 meters

Answer:

option 2

Step-by-step explanation:

I did this already

9514 1404 393

Answer:

  7

Step-by-step explanation:

When the mean of two numbers is the same as one of the numbers, then the other number also has that same value. This is true for any kind of mean:

arithmetic, geometric, harmonic.

The other number would be 7.

__

The geometric mean (m) of a and b is ...

  m = √(ab)

We have ...

  7 = √(7b)

  49 = 7b . . . . . square both sides

  7 = b . . . . . . . .divide by 7

a = b = m = 7 in this case.

Answer:

x=143

Step-by-step explanation:

scale factor (if that is the correct term) is 13. you find that by matching sides to side. this means that 91/7=13, therefore you know that 4*13 is 52 and 11*13 is 143

Given:

The equation is

[tex]\dfrac{4560}{120}=38[/tex]

To find:

The inverse operation for the equation using the knowledge of inverse operations.

Solution:

We have,

[tex]\dfrac{4560}{120}=38[/tex]

Here, 4560 is divided by 120. So, in this equation the operation is division.

We know that inverse operation of division is multiplication. So, multiply both sides by 120.

[tex]\dfrac{4560}{120}\times 120=38\times 120[/tex]

[tex]4560=38\times 120[/tex]

It can be written as

[tex]38\times 120=4560[/tex]

The inverse operation for the equation is [tex]38\times 120=4560[/tex].

Therefore, the correct option is B.

Answer:

There are 12 boys and 18 girls

Step-by-step explanation:

Equations

There are 30 students in a class. Let's call:

x = number of boys

Since the sum of boys and girls is 30:

30 - x = number of girls

The ratio of boys to girls is 2:3, thus:

[tex]\displaystyle \frac{x}{30-x}=\frac{2}{3}[/tex]

Crossing denominators:

3x = 2(30 - x)

Operating the parentheses:

3x = 60 - 2x

Adding 2x:

5x = 60

Dividing by 5:

x = 60/5 = 12

x = 12

There are 12 boys and 30-12=18 girls

Answer:

What is the question????

Answer:

angle JKL is 21

Step-by-step explanation:

the angle of the two triangles are the same, so (2x + 1) = (3x - 9)

You would then find the x, which equals to 10.

Then replace x with ten with the equation.

Answer:

Part A - 17 full weeks

Part B - 8 hours and 30 minutes

Step-by-step explanation:

Key skills needed: Rate of change, Equation Creating & Solving

PART A

1) We need to make an equation for the amount of money Patrick saves each week. He earns $6.00 and then spends $2.00

Since he saves the rest, the amount of money he saves each week is

---> $6.00 - $2.00 = $6 - $2 = $4

2) Since Patrick saves $4 a week, let's say that the number of weeks is "[tex]w[/tex]"

Since the game costs $68 we can make the equation

--> [tex]4w = 68[/tex]

4 is the money he saves each week.

w is the number of weeks he saves

68 is the cost of the game

3) Divide by 4 on both sides and you will get --> [tex]w = 17[/tex]

(68 divided by 4 is equal to 17)

Therefore 17 full weeks is your answer.

Part B

1) Patrick earns 4 dollars for each lawn mowed. Each lawn takes 30 minutes to mow.

30 minutes is half an hour ---> This means that for each hour he would be making $8 (since $4 x 2 = $8)

2)  So if we say the number of hours is "[tex]h[/tex]", the equation we can make is

---> [tex]8h = 68[/tex]

8 is the money he makes per hour

h is the number of hours he mows the lawns

68 is the cost of the game he wants to buy for his friend

3) Divide both sides by 8 and you will get

--> [tex]h = 8.5[/tex]

(68 divided by 8 is 8.5 (8 and a half))

This means that he needs to mow lawns for 8.5 hours in order to buy the video game for his friend.

8.5 hours is the same as 8 hours and 30 minutes, which is the answer.

Hope you understand and have a nice day!! :D

Answer:

Center:(-5,3)

The center of a circle is a point from which all points on a circle are the same distance.

Radius:6

The radius of a circle is the length of a line segment from its center to its perimeter.

The radius is typically denoted as "r" or "R".

Diameter:12

The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle.

Circumference or (or Permieter) = 2*π*R = 2*3.14*6 = 37.6991118430775

The circumference of a circle is the distance around it.

Area:113.097335529233

Area of a Circle is the amount of space occupied by the circle.The area of a circle is p times the radius squared, which is written: A = π*R2.