How can you show that two quantities have a proportional relationship?

Answer:4

x

+

8

=

32

Step-by-step explanation:Isolate for

x

. Start by subtracting

8

from both sides of the equation.

4

x

+

8

−

8

=

32

−

8

4

x

=

24

Divide both sides of the equation by

4

.

4

x

4

=

24

4

x

=

6

Answer:

10

Step-by-step explanation:

4x-8=32

4x=32+8

4x=40

x=40/4

x=10

Answer:

there are 24 cookies in the 4 boxes

there are 6 cookies in each box

Step-by-step explanation:

Let x = number of cookies in each box

If there are 4 boxes, the total number of cookies in the four boxes are 4x

If a friend brought 1 cookie to add to each box, the friend brought a total of 4 cookies

4x + 4 = 28

Solving for x

4x = 28 - 4

4x = 24

x = 6

Each box contains 6 cookies and there are 24 cookies in 4 boxes

A bag contains 15 blue marbles, 5 red marbles, and 11 green marbles. How many blue marbles must be removed

from the 31 marbles in the bag so that the probability of randomly drawing a blue marble is 1/3?

Answer:

7 blue marbles

Step-by-step explanation:

15 blue

5 red

11 green

Total = 31

Number of Blue marbles that must be removed to obtain a probability of :

P(blue) = 1/3

Probability = required outcome / Total possible outcomes

Let number of blue marble to be removed = x

Number of Blue becomes : 15 - x

Total becomes : 31 - x

P(blue) = 1/3

1/3 = (15 - x) / (31 - x)

1/3 * (31 - x) = 15 - x

(31 - x) / 3 = 15 - x

31 - x = 45 - 3x

-x + 3x = 45 - 31

2x = 14

x = 14 / 2

x = 7

Answer: Mr Smith bought 7 pepperoni pizza

Step-by-step explanation:

Step 1

cost of cheese pizza  =$11

pepperoni pizza cost =$12.50

let number cheese pizza be represented as c

and number of pepperoni pizza be represented as p

such that the total number of pizza  bought which equals 13 can be represented as

c+ p= 13

and total cost of both pizza  can be expressed as

11c+ 12.50p =153.50

Step 2 Solving

 c+ p= 13

11c+ 12.50p =153.50

By elimination method, Multiply equation 1 by 11 and subtract the new equation from equation 2

11c+ 12.50p =153.50

11c+ 11p=143.

1.5p =10.5

p= 10.5/ 1.5 =7

c+ p= 13

c= 13-p =13-7=6

Therefore Mr Smith bought 6 cheese pizza and 7 pepperoni pizza

Answer:

4, 1, 6

Step-by-step explanation:

The coefficient of x is 4

The coefficient of y is 1

The coefficient of z is 6

The coefficient of a variable is the number that appears before it.

Answer:

x = 1.146 and x =7.854

Step-by-step explanation:

Use the quadratic formula

x = -b ± √b² -4ac

2a

-(-9) ±√81-36

2

9 ± √45

2

Answer:

x=−y+

−1/2

Step-by-step explanation:

Let's solve for x.

y−4x−3y=−2x+1

Step 1: Add 2x to both sides.

−4x−2y+2x=−2x+1+2x

−2x−2y=1

Step 2: Add 2y to both sides.

−2x−2y+2y=1+2y

−2x=2y+1

Step 3: Divide both sides by -2.

−2x

−2

=

2y+1

−2

x=−y+

−1/2

Answer:

22.5 hope i helped you out

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

I used a calculator:))))hope it helped:))))))

Answer:

35/8; 5 2/8

Step-by-step explanation:

7/8 × 5 = 35/8

35/8 should be simplified down to 5 and 2/8th tanks

Answer:

First, your only giving 45

Step-by-step explanation:

Second,

Part 1:

P(yellow)  [tex]\frac{5}{25}[/tex]  as a decimal is 0.2

Part 2:

What best describes the​ probability?

A: Unlikely

Step-by-step explanation:

x=0 y=2

x=-2 y=0

y=mx+b

b=2

0= -2m+2

2m=2

m=1

y= x + 2

Answer:

Option A. is correct.

Step-by-step explanation:

Given: A cell phone company recently noticed a [tex]26\%[/tex] sales decrease in the month of July compared to June such that [tex]n[/tex] represent June's  sales.

Also, [tex]y[/tex] represents July's sales.

To find: equation that can be used to determine the sales in July

Solution:

June's sales [tex]=n[/tex]

Decrease in sales [tex]=\frac{26}{100}n=0.26n[/tex]

So,

July's sales [tex]=n-0.26n[/tex]

Also,

July's sales [tex]=y[/tex]

Therefore,

[tex]y=n-0.26n[/tex]

So, option A. is correct.

Answer:

Option D

Step-by-step explanation:

From the spinner we see there are 5 colours in there.

These are;

Green, Yellow, Red, Purple, Blue.

This means that when it is spinned, there's possibility of getting only one colour per spin.

Since she tosses a coin as well for each spin, there's a possibility of getting either a tail or head per spin.

This means, all possible outcomes will be 5 × 2 = 10 outcomes.

With each colour possibly showing up with either tail or head.

Correct answer is Option D as it has 10 possible outcomes in the correct order.

Answer:

[(x + 6), (y + 1)]

Step-by-step explanation:

Vertices of the quadrilateral ABCD are,

A → (-5, 2)

B → (-3, 4)

C → (-2, 4)

D → (-1, 2)

By reflecting the given quadrilateral ABCD across x-axis to form the image quadrilateral A'B'C'D',

Rule for the reflection of a point across x-axis is,

(x, y) → (x , -y)

Coordinates of the image point A' will be,

A(-5, 2) → A'(-5, -2)

From the picture attached, point E is obtained by translation of point A'.

Rule for the translation of a point by h units right and k units up,

A'(x+h, y+k) → E(x', y')

By this rule,

A'(-5 + h, -2 + k) → E(1, -1)

By comparing coordinates of A' and E,

-5 + h = 1

h = 6

-2 + k = -1

k = 1

That means

Rule for the translation will be,

[(x + 6), (y + 1)]

Answer:

-1

Step-by-step explanation:

deltay/deltax

(6-(-5))/(-2-9)

11/-11

-1

On A type Fa,La,Do on B Type Mi,So,Ti

Answer:

x = 7

Step-by-step explanation:

All sides are equal therefore its 7

Hope this helps!! ♥︎

x = 7

7 because the measurement of all side are congruent

Answer:

5.5

Step-by-step explanation:

Answer:

11/2

Step-by-step explanation:

Step-by-step explanation:

Primero encontramos el valor de x,

5(x+9) = 2(x+30)

=> 5x + 45 = 2x + 60

=> 5x - 2x = 60 - 45

=> 3x = 15

[tex] = > x = \frac{15}{3} [/tex]

=> x = 5

Como tenemos el valor de x entonces,

LHS = 5(x+9) RHS = 2(x+30)

= 5(5+9) = 2(5+30)

= 5 × 14 = 70. = 2 × 35 = 70

Por tanto, el valor es,

5 (x + 9) = 2 (x + 30) = 70 (Ans)

Answer:

20.8mm

Step-by-step explanation:

We know that an octagon has 8 sides, and since this is a regular octagon we can safely say that all sides are equal.

This means all sides are 2.6mm.

So if we run the calculation:

2.6mm × 8 = 20.8mm (Side Length × Number of Sides = Perimeter)

We have our final answer!

Answer:

4.85

Step-by-step explanation:

Given :

Negative 0.2 (x minus 4) = negative 1.7

-2(x - 4) = - 1.7

-2x + 8 = - 1.7

-2x = - 1.7 - 8

-2x = - 9.7

Divide both sides by - 2

-2x / 2 = - 9.7 / - 2

x = 4.85

Answer:

ya it a

Step-by-step explanation:

still same if flip around

Also if I'm right can you let me know, please?

Also Also if I am right can I please have Brainliest??

You don't need to, I'm just glad I could help. ^^

You're a beautiful person, and worth so much, no matter your race or gender.

You deserve the world and more, and if I could give it to you, I would!

So please don't let anyone say otherwise, there are so many people in this world who love you, including me.

And if someone can't see your beauty then they're rather blind or you're just too bright for them!

Your amazing and I'm so proud of you for making it this far, so keep on with life, stay strong, and live long because I love you!

(Not in a weird way lol I love and care for everyone genuinely)

Answer: k = -8.66

Step-by-step explanation:

We have the equation:

k*x + 5*y = 10

First, let's rewrite this as a line in the slope-intercept form:

5*y = 10 - k*x

y = 10/5 - (k/5)*x

y = -(k/5)*x + 2

Now, we want to make an angle of 30° with respect to the y-axis.

Then we can think on a triangle rectangle, where we know one angle of 30°, the adjacent cathetus will be equal to the difference between the y-component and the y-intercept, and the opposite cathetus will be equal to the x-component.

To get this, we first need to evaluate the function in one given point, let's use x = 5. (we could use any value of x here, i use 5 because it is easier)

y = -(k/5)*5 + 2

y = -k + 2

then the cathetus of our triangle will be:

adjacent cathetus: (y - 2) = (-k + 2 - 2) = -k

opposite cathetus: x = 5.

Now we know the relation:

Tan(a) = (opposite cathetus)/(adjacent cathetus)

where a = 30°

Then:

Tan(30°) = 5/(-k)

-k = 5/tan(0.577) = 8.66

k = -8.66

This is the value of k that we wanted to find.

9514 1404 393

Answer:

  E.  infinitely many

Step-by-step explanation:

The other pair of parallel sides (at right angles to the given sides) can be any length. Infinitely many rectangles can be formed.

Answer:

i think that the corect answer is A.0

Step-by-step explanation:

it is parallel and that means that it wont cross paths

Answer: How to answer radical questions and such:

The most basic is to isolate one of the square roots, square both sides, and this will usually yield less square roots than when you started with. Keep repeating until you have no more square roots. This works pretty well in most cases, there are sometimes some tricks, arising from the particular problems themselves ways, which allow you to solve the equations much faster

The solving methods for Square root and radical equations are given below.

An equation wherein a variable is withinside the radicand of a thorough expression is referred to as a thorough equation. As usual, whilst fixing those equations, what we do to at least one aspect of an equation we ought to do to the alternative aspect as well. Once we isolate the radical, our approach could be to elevate each facet of the equation to the strength of the index. This will remove the radical.

To asked how to solve Square root and the radical equation

For Square root:

There are many methods for solving a square root such as

Here we will learn solving Square root using the Long method

Long division method

For radical equation:

There are many types of radical equations such as

And so on,

the best way to solve radical equations is:

Learn more about radical equations here:

https://brainly.com/question/9370639

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