Write an equation of a line in slope intercept form (y = mx + b) going through the points
(-2, 0) and (4, -3). Show your work for full credit.

Answer:

14 to 20 or 7 to 10 is the ratio

Final answer:

The ratio of blue marbles to green marbles is 14:20, which simplifies to 7:10 or as a fraction, 7/10.

Explanation:

The ratio of blue marbles to green marbles from a bag containing 4 black marbles, 14 blue marbles, 8 brown marbles, and 20 green marbles is simply the number of blue marbles divided by the number of green marbles. To express this ratio, we would do the following:

Count the blue marbles: There are 14 blue marbles.

Count the green marbles: There are 20 green marbles.

Write the ratio: The ratio of blue marbles to green marbles would be 14 blue marbles to 20 green marbles.

Express as a fraction or with a colon: As a fraction, this is 14/20, which simplifies to 7/10. Or, using a colon, it is represented as 14:20, which also simplifies to 7:10.

Answer:

(×-8)5=20

(5×-40)=20

5×(-40+40)=(20+40)

5×=60

5×÷5=60÷5

×=12

Based on the equation given, the value of the number is 12.

Let the number be represented by x.

Based on the information given, the equation to solve the question will be:

(x - 8) × 5 = 20

5x - 40 = 20

Collect like terms

5x = 20 + 40

5x = 60

Divide both side by 5

5x/5 = 60/5

x = 12

Therefore, the number is 12.

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Answer:

Yo-Yo

Step-by-step explanation:

I do not know all the steps but I just joined but the answer is Yo-Yo!!

[tex]\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ G(\stackrel{x_1}{1}~,~\stackrel{y_1}{0})\qquad H(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{x+1}{2}~~,~~\cfrac{y+0}{2} \right)~~=~~\stackrel{\stackrel{Midpoint}{M}}{(3~,~0)}\implies \begin{cases} \cfrac{x+1}{2}=3\\[1em] x+1=6\\ \boxed{x=5}\\ \cline{1-1} \cfrac{y+0}{2}=0\\[1em] \boxed{y=0} \end{cases}[/tex]

-1 x 18 = 18

-2 x 9 = 18

-3 x 6 = 18

-6 x 3 = 18

-9 x 2 = 18

-18 x 1 = 18

Hope this helped!

Nate

To get -18, we can use the factors

To find two numbers that multiply to give -18, we need to consider pairs of factors of -18. The factors of -18 are:

1 and -18

2 and -9

3 and -6

So, the pairs of numbers that multiply to give -18 are:

1 * -18 = -18

2 * -9 = -18

3 * -6 = -18

Therefore, -18 can be expressed as the product of various combinations of these pairs, such as (-2) * 9, (-3) * 6, and so on.

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Answer:

$5.25

Step-by-step explanation:

if it cost 75 cents to play 3 games, that means it cost 25 cents per game. Multiply 21 games by 25 cents per game and you get 525, or $5.25.

Answer:

720

Step-by-step explanation:

Percentage share owned by Jillian = 60%

Total shares in corporation = 1200

Number of shares owned by Jillian = [tex]\frac{60*1200}{100} = 720[/tex]

Hey!

----------------------------------------

Explanation and Solution:

A polygon has to at least have 360° total to form a polygon.

Since there are 24 sides you divide 360 by 24.

360 / 24 = 15

----------------------------------------

Answer:

The measure of each exterior angle has to be at least 15° to form a complete polygon of 24 sides.

----------------------------------------

Hope This Helped! Good Luck!

Answer:

0.95 + 5.82 = 6.77 for each

27.08/6.77= 4

so he's taking 4 classes

Answer:

The answer is 4 classes.

Step-by-step explanation:

Nathan bought one notebook and one binder for each of his college classes.

Notebooks cost 0.95 each and binders cost 5.82 each.

So, he paid [tex]0.95+5.82=6.77[/tex] dollars

The total cost of notebooks and binders Nathan paid 27.08.

This means he bought these things for [tex]\frac{27.08}{6.77}=4[/tex] classes.

Answer: He read 6 books in 1 month. 6:1 is the unit rate

Step-by-step explanation:

12/2 = 6

k/7=32/56

To solve for k, cross multiply:

(k x 56) = (7 x 32)

Simplify:

56k = 224

Divide both sides by 56:

k = 224 / 56

k = 4

Answer:

x=0, y=-5

Step-by-step explanation:

The system is

(1)  5x+3y=-15  

(2) -8x-2y=10

Let's solve it by elimination.  In order to do it, you have to multiply the equations by suitable numbers in such a way that when you add the 2 equations, one of the unknowns is eliminated

Multiply (1) by 2 and (2) by 3

(1) 10x+6y=-30

(2) -24x-6y=30

Add the two equations

10x-24x+6y-6y=-30+30 ----> -14x=0---->x=0

Now replace this value in any equation, for example in (1)

6y=-30 ----> y=-30/6----> y=-5

Answer:  The required solution is (x, y) = (0, -5).

Step-by-step explanation:  We are given to solve the following system of equations by the method of substitution or elimination :

[tex]5x+3y=-15~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\-8x-2y=10~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]

We will be solving the given system by substitution method.

From equation (ii), we have

[tex]-8x-2y=10\\\\\Rightarrow -4x-y=5\\\\\Rightarrow y=-4x-5~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)[/tex]

Substituting the value of y from equation (iii) in equation (i), we get

[tex]5x+3(-4x-5)=-15\\\\\Rightarrow 5x-12x-15=-15\\\\\Rightarrow -7x=0\\\\\Rightarrow x=0.[/tex]

From equation (iii), we get

[tex]y=-4\times0-5=-5.[/tex]

Thus, the required solution is (x, y) = (0, -5).

Answer:

3/2

Step-by-step explanation:

Answer:

1 [tex]\frac{5}{49}[/tex]

Step-by-step explanation:

1. Multiply the numerators

6 x 9 = 54

2. Multiply the denominators

7 x 7 =49

3. You would get 54/79

4. Simplify

When simplifying you would get 1 [tex]\frac{5}{49}[/tex]

Estimate the product of 3,182 multiplied by 5 by rounding to the nearest hundred, resulting in an estimation of 16,000.

To estimate the product of 3,182 multiplied by 5, we can round 3,182 to the nearest hundred to make the multiplication simpler.

Rounding 3,182 to the nearest hundred gives us 3,200.

We then multiply 3,200 by 5:

3,200 x 5 = 16,000

This estimated product is not an exact answer but gives us a reasonable approximation that is easy to calculate mentally or on paper.

Answer:

Option A) r and s

Step-by-step explanation:

we know that

When two lines are crossed by another line (called the Transversal), the angles in matching corners are called Corresponding Angles. If the lines are parallel, then the angles are congruent

In this problem

If lines r and s are parallel

then

m∠5≅m∠13 -----> by corresponding angles

Answer:

the answer on the usa testprep is A.

Step-by-step explanation:

give some brainlest

Answer:

Equation of the line is y=-x+3

Rewritten as an inequality is y ≤ -x+3

Step-by-step explanation:

You find the slope by doing rise over run which ends up being -1/1, so just -1.

The y-intercept is 3.

Slope intercept form is y=mx+b, so y=-x+3 is the answer in slope intercept.

Then ≤ is used because the line is going down and it's shaded to the left, also the line isn't broken, it's solid which means it's equal to, so it would be less than or equal to.

Answer:

-9.5

Step-by-step explanation:

2x + 21 =

2x + 20 = 1 (C.P)

2x = 1-20

2x = - 19

x= - 19/2

x = - 9. 5

Answer:

$ 2330

Step-by-step explanation:

a = $240

Earning at the end of fifth week = $ 680

increase in earnings per weak = ( 680 -240)/2     = 440/2 =110

d =110

l = a + (n-1)d

a20 = 240 + (19 * 110 ) = 240 + 2090 =   2330

Answer:2334

Step-by-step explanation:

Answer:

125-3123

Step-by-step explanation:

5 x 25 is 125, subtracted by 15615 which is 3123

Answer:

The anwser is 2.8000

Step-by-step explanation:

 You look at the tenth place its 8 :

   2.8151

Then you look to the right which is 1

is 1 more than 5 or less

1 < 5

8 stays the same but 1, 5, and 1 turn into zeros

Answer:

2.8151 rounded to the nearest tenth is 2.8, because tenths lie right after the decimal

I hope i helped :)

Answer:

Option A.

Step-by-step explanation:

Expression given in the question is (f g)(5).

We know when two functions are f(x) and g(x) then (f g)(x) represents the multiplication of two functions.

(f g)(x) = f(x).[g(x)]

For x = 5

(f g)(5) = f(5).g(x)

It may be represented by the operation as

(f g)(5) = f(5) × g(x)

Therefore, option A. will be the answer.

The function (f g)(5) can be expressed as f(5) × g(5) as an equivalent expression.

The equivalent expression is determined as follows;

Two given functions such as  (f(5) and g (5), can be represented by the multiplication of the two functions as shown below.

(f g) (5) = (f (5) x g (5)

(f g) (5) = (f (5) x g (5)

Thus, the function (f g)(5) can be expressed as f(5) × g(5) as an equivalent expression.

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Answer:

sin³x

Step-by-step explanation:

Using the trigonometric identities

1 + cot²x = csc²x

cscx = [tex]\frac{1}{sinx}[/tex]

Given

[tex]\frac{sinx}{1+cot^2x}[/tex]

= [tex]\frac{sinx}{csc^2x}[/tex]

= [tex]\frac{sinx}{\frac{1}{sin^2x} }[/tex]

= sinx × sin²x

= sin³x

Answer:

Step-by-step explanation:

The answer is 1-4/5

Answer:

[tex]10 - x[/tex]

Step-by-step explanation:

the difference between a number and 10 simply means ,that number minus 10.

Let that number be x

therefore the difference between x and 10 is written as

[tex]x - 10[/tex]

Answer:

x-10

Step-by-step explanation:it simply means to subtract a number from ten

Answer:

10+x=14; x=4

10+x=14

-10     -10

The 10's cancel out

x=4

Answer:  10+x=14

Step-by-step explanation:

The word "sum" implies addition, so we know we are going to be adding some values. The next part of the sentence just give you your two values, 10 and a number (x). We know to add these two together because of the word sum. The final part of the sentence is "is equal to 14" this simply mean =14. Put all the pieces together and you get : 10+x=14

After solving the given mathematical expression which is $5.40 + $8.70 + $6.30 , we get value equal to $20.40

What is addition ?

The process of adding two or more numbers together or combining things into one group is known as addition.

The given arithmetic expression is $5.40+$8.70+$6.30.

Let's solve the given mathematical expression.

To add decimal numbers , place the decimal point in line with the specified decimal points, align the decimal numbers in accordance with their place values. If we look at the given decimals, we can see that they are like decimals because they have two digits after the decimal point. Therefore, we will arrange them in the proper sequence and perform standard addition rule.

i.e.,

5.40 + 8.70 + 6.30

We can write this as sum of :

= (5+8+6) + (0.40 + 0.70 + 0.30)

Now , solving to get the value :

= (19) + (1.40)

= $20.40

Therefore, after solving the given mathematical expression which is $5.40 + $8.70 + $6.30 , we get value equal to $20.40

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Answer:

The fraction of the work that are drawings is [tex]\frac{7}{20}[/tex]

Step-by-step explanation:

we have that

100%=100/100=1

we know that

The sum of the fractions of the works must be equal to 1

Let

x -----> the fraction of the work that are drawings

so

[tex]1=\frac{1}{4}+\frac{2}{5}+x[/tex]

Solve for x

[tex]1=\frac{13}{20}+x[/tex]

Subtract 13/30 both sides

[tex]x=1-\frac{13}{20}[/tex]

[tex]x=\frac{7}{20}[/tex]

Answer: One hour/two miles

Step-by-step explanation:

Distance=Rate*Time

Distance=6 miles

Time=3 hours

Rate is unknown

6Miles=3Hours(Rate)

6Miles/3Hours=Rate

2Miles/1hour

For each hour that passes, he can walk two miles

Answer:

164

Step-by-step explanation:

pemdas

parentheses first: 4(25+5+1+10) = 4(41)

parentheses around only on term means multiply

4(41)= 164

Answer:

164

Step-by-step explanation:

PEMDAS requires you to do whatever is asked inside the parenthesis first. So in this case, add all those together to get the answer of 41, then multiply by 4 on the outside