Step by step how do you solve ratios and proportions?

Answer:

y=3x+10

Step-by-step explanation:

We can use standard form to write the equation of this line.

y=mx+b

where m=the slope (or gradient) of the line

and where b= the y-intercept

now to solve...

we know the slope (gradient) or m=3

so we can put this in the equation.

y=3x+b

now we must solve for b.

in order to this we can subsitute the coordinate (-2,4) into x and y since

a coordinates values/variable representation is (x,y) -> (-2,4)

So subsituting the coordinate in...

y=3x+b

4=3(-2)+b

simplify.

4=-6+b

b=10

This means the y-intercept=10

so...

y=3x+10

is the equation of the line.

Answer:

$3.6

Step-by-step explanation:

I looked it up, I don't know how to do that on my own

Answer:

c=3

Step-by-step explanation:

Answer:

Incorrect Answer Below

Step-by-step explanation:

Problem: We have a total of 28 candies that need to be divided evenly between 4 students.

(Incorrect) Solution: In order to solve this problem we can seperate the total number of candies into single digits and then divide each digit by 4 like so...

2 / 4 = 0.5

8 / 4 = 2

Now that we have the answer of both of these divisions we can simply add these values together to get the number of candies each student will get

0.5 + 2 = 2.5 candies

[tex]\huge {\colorbox {black}{\color{magenta}{✿Aиѕωє༉}}} [/tex]

[tex]\huge\sf\underline{\underline{\red{❥︎ Thanks}}}[/tex]

Which quadrilaterals always have congruent diagonals?

[tex]\hookrightarrow[/tex] [tex]\bold{rectangle }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{ square }[/tex]

Answer:

○ D) A and C

Step-by-step explanation:

[tex]\displaystyle \frac{n!}{r![-r + n]!} = {}_nC_r[/tex]

All you need to do is plug each choice into the formula:

[tex]\displaystyle \frac{10!}{2![-2 + 10]!} \Longrightarrow \frac{[2][3][4][5][6][7][8][9][10]}{2[-2 + 10]!} \longrightarrow \frac{[2][3][4][5][6][7][8][9][10]}{2[(2)(3)(4)(5)(6)(7)(8)]} \\ \\ \boxed{45} = \frac{90}{2}[/tex]

OR

[tex]\displaystyle \frac{10!}{8![-8 + 10]!} \Longrightarrow \frac{[2][3][4][5][6][7][8][9][10]}{[(2)(3)(4)(5)(6)(7)(8)][-8 + 10]!} \\ \\ \boxed{45} = \frac{90}{2}[/tex]

So, from what you see, both values of [tex]\displaystyle r[/tex] work. In fact, when using the formula pertaining to combinations, you will see that each result has a “repetitive pattern”. This is something you must look out for when using this formula.

I am joyous to assist you at any time.

Answer:

20% increase

Step-by-step explanation:

We want to compute the percentage increase

Percent increase in price is expressed as

=(Change in price)/old price *100

=356.4-297/297*100

=59.4/297*100

=0.2*100

=20%

Answer:

114%

Step-by-step explanation:

okay, so we know he spent 22 minutes on math and 25.08 on spelling.

m=22

s=25.08

so to find a percent, you have to divide s/m

s/m= 25.08/22

s/m= 1.14

because this is a decimal, we have to convert it to a percent

114%

to check the answer, multiply 22 times 114%

the answer is 25.08, so we know we got the right answer.

Step-by-step explanation:

2b+5b=7b

35=7b

35/7=5

b=5

Answer:

b=5

Step-by-step explanation:

2b+5b=35

7b=35

b=35/7

b=5

Answer:

for members: 1, 2,3,4,5

for non-members : 2,4,6,8,10

will cost same.

Step-by-step explanation:

6 + 2 = 8

members total $8 for 1 class

non-members total $4 for 1 class

8×2=16

8×3=24

8×4=32

8×5=40

4 × 2 = 8

4×3=12

4×4=16

4×5=20

4×6=24

4×7=28

4×8=32

4×9=36

4×10=40

Answer:

Missing statements:

Given:

The relation is {(-5, -3), (-1, 3), (4,3), (8, 8)}.

To find:

Whether the given relation is a function or not.

Solution:

A relation is called a function, if there exist a unique output for each input.

We have, a relation given as

{(-5, -3), (-1, 3), (4,3), (8, 8)}

Here, all x-values are different. So, each x-value has a unique y-value.

Thus, there exist a unique output for each input.

Therefore, the given relation is a function.

Answer

x, y

0, -4

1, -1

2, 2

3, 5

please click heart to give thanks :)

Answer:

Answer

x, y

0, -4

1, -1

2, 2

3, 5

Step-by-step explanation:

there's the math

Answer:

∠ L = 109°

Step-by-step explanation:

Since the triangles are congruent, then corresponding angles are congruent.

Thus ∠ J = ∠ G , substitute values

3x + 12 = 2x + 19 ( subtract 2x from both sides )

x + 12 = 19 ( subtract 12 from both sides )

x = 7

Then

∠ G = 2x + 19 = 2(7) + 19 = 14 + 19 = 33°

∠ H = 4x + 10 = 4(7) + 10 = 28 + 10 = 38°

By the sum of angles in a triangle = 180°, then

∠ F = 180° - (33 + 38)° = 180° - 71° = 109°

∠ F and ∠ L correspond , thus

∠ L = ∠ F = 109°

Answer:

Yessenia is correct.

Step-by-step explanation:

Supose Yessenia thinks the quotient is 7.516, then Yessenia is correct.

The reason why Yessenia is correct is that, if we interpret the question mathematically, we have:

[tex]= \dfrac{751.6}{10^2}[/tex]

[tex]= \dfrac{751.6}{100}[/tex]

From above the decimal point will shift to the left twice since we are dividing 751.6 by 100, which is:

= 7.516 and not 0.7516

Answer:

-1/4

1

-1/4

1

Step-by-step explanation:

Slope is obtained thus :

(y2 - y1) / (x2 - x1)

Slope ST :

S(1, 4) ; T(5, 3) ;

x1 = 1, y1 = 4 ; x2 = 5 ; y2 = 3

Slope ST = (3 - 4) / (5 - 1) = - 1 / 4

Slope TU :

T(5, 3) ; U(3, 1)

x1 = 5, y1 = 3 ; x2 = 3 ; y2 = 1

Slope TU = (1 - 3) / (3 - 5) = - 2/ - 2 = 1

Slope UV :

U(3, 1) ; V(-1, 2)

x1 = 3, y1 = 1 ; x2 = - 1 ; y2 = 2

Slope UV = (2 - 1) / (-1 - 3) = 1 /-4 = - 1/4

Slope SV:

S(1, 4) ; V(-1, 2)

x1 = 1, y1 = 4 ; x2 = - 1, y2 = 2

Slope SV = (2 - 4) / (-1 - 1) = - 2 / - 2 = 1

Answer:

Step-by-step explanation:

Answer:

2 1/24=49/24

Step-by-step explanation:

Answer:

{0, 10, 42}

Step-by-step explanation:

The Domain acts like x and the Range acts like y and f(x) = y

f(x) = 2x^2 - 8

f(-2) = 2(-2)^2 - 8

f(-2) = 2(4) - 8

f(-2) = 8 - 8

f(-2) = 0

f(3) = 2(3)^2 - 8

f(3) = 2(9) - 8

f(3) = 18 - 8

f(3) = 10

f(x) = 2x^2 - 8

f(5) = 2(5)^2 - 8

f(5) = 2(25) - 8

f(5) = 50 - 8

f(5) = 42

To check, look at the graph below ---

                                                             |

                                                            V

Answer:

b = 50 - 5m

Step-by-step explanation:

i think this is correct but i didnt put much thought into it

Answer:

(-5,3)-3/2=(-1,-3)

Step-by-step explanation:

So the slope intercept form is 3/2 and the points are (-5,3) and (-1,-3)

y intercept form is y=mx+b.

I hope one of those helps

Answer:

the equation for the function shown is y= -3/2x -9/2

Step-by-step explanation:

You can find the slope of the graph by counting how many spaces up or down over how many spaces left or right between two points. Start from the left of the graph and go towards the right of the graph when doing this. If you count the spaces between the two points on the graph, it is down six units (-6 on top) and 4 units right (4 on bottom) to get a slope of -6/4, which can be simplified by dividing both the top and bottom by two to get a slope of -3/2. Next you can use the point-slope form to find the equation of the graph in the form y=mx + b. Point slope form looks like this: y-y1=(the slope)(x-x1).

Plug in what you got for the slope and the coordinates for any point on the graph (the y coordinate replacing y1 and the x coordinate replacing x1). Here, I used the point (-1, -3), but you should get the same answer no matter what point you use, as long as it is a point on the graph:=> y-(-3)= -3/2(x-(-1))

=>y+3=-3/2(x+1)

distribute the -3/2 to both terms in the parentheses: y+3= -3/2x -3/2

subtract 3 from both sides to get y by itself (aka to convert to the form y=mx+b): y= -3/2x -9/2 (Here, -9/2 is your y-intercept, or where the graph crosses the y-axis).

Answer:

y=2x+4

Step-by-step explanation:

the slop is 2 hense 2x, and the y intercept is 4

Answer:

The length of the water slide itself is 17 meters

Step-by-step explanation:

Here, we want to calculate the length of the water slide

from the description given in the question;

we have a right angled triangle where the height of the tower, the distance from the base of the tower and the length of the slide itself represents the sides of the triangle

From the description given in the question, the water slide length represents the slope of the right triangle formed

thus, mathematically by using Pythagoras’ theorem;

The square of the hypotenuse equals the sum of the squares of the two other sides

Let us call the length of the water slide y

y^2 = 8^2 + 15^2

y^2 = 64 + 225

y^2 = 289

y = √289

y = 17 meters

Answer:

yes this is

Step-by-step explanation:

Answer:

D

Step-by-step explanation: