For a field trip 5 students rode in

cars and the rest filled ten buses.

How many students were in each

bus if 215 students were on

the trip?

Answer:

A. [tex]\displaystyle y = -\frac{1}{2} x -4[/tex]

Step-by-step explanation:

Equation of a Line

The equation of the line in slope-intercept form is:

y=mx+b

Where:

m = slope

b  = y-intercept.

The point-slope form of the equation of a line is:

y - k = m ( x - h )

Where:

(h,k) is a point through which the line passes.

The line we are looking for has a slope defined for the fact that is perpendicular to the line shown in the graph.

Two perpendicular lines with slopes m1 and m2 satisfy the equation:

[tex]m_1m_2=-1[/tex]

We'll find the slope m1 of the given line and then solve the above equation for m2:

[tex]\displaystyle m_2=-\frac{1}{m_1}[/tex]

The line of the graph passes through two clear points (-3,-3) and (0,3). Let's calculate the slope.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m_1=\frac{3+3}{0+3}=\frac{6}{3}=2[/tex]

Now we calculate the second slope:

[tex]\displaystyle m_2=-\frac{1}{2}[/tex]

We use the point-slope form, given the point (6,-7):

[tex]\displaystyle y + 7 = -\frac{1}{2} ( x - 6 )[/tex]

Operating the parentheses:

[tex]\displaystyle y + 7 = -\frac{1}{2} x +\frac{1}{2}\cdot 6 )[/tex]

Simplifying:

[tex]\displaystyle y = -\frac{1}{2} x +3-7[/tex]

A. [tex]\mathbf{\displaystyle y = -\frac{1}{2} x -4}[/tex]

Answer:

100÷170×85=$50

85-50=$35

Answer:

(x, y) → (x + 8, y - 3)

Step-by-step explanation:

To find the rule of translation, we can find one point on both figures to calculate the change in the x-axis and y-axis.

Let's say we take the point D (0, -1).

(-1, 0) → (7, -3)

Change in x = 7-(-1)

                    = 7 + 1

                    = 8

Change in y = -3-0

                    = -3

Thus, the change is (x + 8, y - 3)

Answer:

0.768 would be the amount of pretzels in ounces

Step-by-step explanation:

24% of 32 =0.768

how i got 24%?

24% of 100= 24

feel free to like and give brainliest

Answer:

D

Step-by-step explanation:

Answer:

There were 5 toppings on his pizza.

Step-by-step explanation:

From the information given, you can say that the total cost of the pizza would be equal to the cost of the 24-inch cheese pizza plus the result of multiplying the cost of each topping for the number of toppings, which can be expressed as:

c=17.50+2.35x, where:

c is the total cost

x is the number of toppings

Now, you can replace the total cost with $29.25 and solve for x:

29.25=17.50+2.35x

29.25-17.50=2.35x

11.75=2.35x

x=11.75/2.35

x=5

According to this, the answer is that there were 5 toppings on his pizza.

Answer:

12.5

Step-by-step explanation:

for people who don't get another  quizzez assignment about ratios from their teachers, this question showed & the correct answer was 12.5 Hope this answer somehow helps.

Ounces of yogurt need for 10 ounces of blueberries is 8 ounce

Ratio of ounces of blueberries to ounces of yogurt = 4:5

Ounces of yogurt need for 10 ounces of blueberries

Ounces of yogurt need for 10 ounces of blueberries = 10[4 / 5]

Ounces of yogurt need for 10 ounces of blueberries = 2[4]

Ounces of yogurt need for 10 ounces of blueberries = 8 ounce

So, Option "A" is the correct answer to the following question.

Learn more:

https://brainly.com/question/19833884?referrer=searchResults

Answer:-8.75

Step-by-step explanation:

Answer:

C. -8.75

Step-by-step explanation:

Ultimately, you are dividing a negative number by a positive number which makes the answer negative.  The only way the answer can be positive if it's dividing by two negatives or two positives.  You can also assume that since the divider is greater than 1, it is usually less than the first number for this statement which makes your answer -8.75.

Step-by-step explanation:

r=3/2=(4.5)/3=3/2

it is geometric, so we will use this equation:

a(n)=a1*(r)^(n-1)

and we have a(1)=2 , r=3/2    

So  explicit formula:

a(n)=2*(3/2)^(n-1)

hope this helps

Answer: B

Step-by-step explanation:

on edge warm-up

Answer:

We conclude that the value of 'a' will be:

[tex]a=\frac{x+b^2}{2}[/tex]

Hence, option (2) is true.

Step-by-step explanation:

Given the equation

x = 2a - b²

Let us solve the equation to solve for 'a'

[tex]x=2a-b^2[/tex]

switching sides

[tex]2a-b^2=x[/tex]

Add b² to both sides

[tex]2a-b^2+b^2=x+b^2[/tex]

Simplify

[tex]2a=x+b^2[/tex]

Divide both sides by 2

[tex]\frac{2a}{2}=\frac{x}{2}+\frac{b^2}{2}[/tex]

Simplify

[tex]a=\frac{x+b^2}{2}[/tex]

Therefore, we conclude that the value of 'a' will be:

[tex]a=\frac{x+b^2}{2}[/tex]

Hence, option (2) is true.

Answer:

The answer is A

Step-by-step explanation:

Answer:

......................................................................................

Step-by-step explanation:

Answer:

i=-12

Step-by-step explanation:

Answer:

(7,0)

Step-by-step explanation:

Answer:

x = 7 (7,0)

Step-by-step explanation:

6x - 7y = 42

cancel out the y

6x -7 (0) = 42

6x = 42

divide both sides by 6

x = 7

Hope this helps!!!

Answer:

it 2 parts away

Step-by-step explanation:

Answer:

(0,0)  (20, 10)  (40,10)   (60,40)  (100,0)

 A          B           C            D           E

Step-by-step explanation:

Answer:

it is a number that is a infinite in its size (infintely big,infintely small, ect.)

Step-by-step explanation:

a great example of this is the number 0

Answer:

Step-by-step explanation:

32/40

=0.8

so it's 20% off since it's a decay.

Answer:

The second option: 4 1/2 x = 22 1/2

Step-by-step explanation:

The whole volume is 22 1/2 so that is on one side of the equals sign but it must be by itself. Then the formula for volume is length x width x height.

so 22 1/2 = l x w x h

Two of these numbers are given. You multiply 3 x 1 1/2 to get 4 1/2 times the unknown value of x

Answer:

Answer:

The second option: 4 1/2 x = 22 1/2

The whole volume is 22 1/2 so that is on one side of the equals sign but it must be by itself. Then the formula for volume is length x width x height.

so 22 1/2 = l x w x h

Two of these numbers are given. You multiply 3 x 1 1/2 to get 4 1/2 times the unknown value of x

Step-by-step explanation:

Answer:

the food is always bad

Step-by-step explanation:

and second they give you like not that much to eat anyways.

Answer:

The answer is 425

Step-by-step explanation:

Place value would be...

400

20

5

or 400+20+5

Sorry I couldn't help too well!

Hope this helps!! Brainliest is appreciated!! Happy Holidays!!!

Answer:

it's answer is B. 9/100

Answer:

B

Step-by-step explanation:

4:6 = 2:3

2:3 = 2:3

8:12 = 2:3

4:5 = 4:4

Answer:

b

Step-by-step explanation:

son

Answer:

6 * 42 = 6 * (20 + 22)

= (6 * 20) + (6 * 22) = 120 + 132 = 252

Step-by-step explanation:

Here, we want to multiply 6 by 42 using distributive property

In this case, we can have the distributive property as;

a * ( b + c) = ab + bc

Thus, we can represent 42 as (20 + 22)

so 6 * 42 becomes 6 * (20 + 22)

Using the distributive property, we have

(6 * 20) + (6 * 22)

= 120 + 132 = 252

Answer:

6 percent

Step-by-step explanation:

i believe this is the answer

Answer:

16

Step-by-step explanation:

its an ocosilse triangle cause of the 1 apat distance so 16 is the anser

Answer:

the 3rd angel is 120

the two exterior angels can be, 60 and 152

Step-by-step explanation:

the 3rd angel is 120 because the interior angel measure is 180, so 28+32 is 60 and 180-60 is 120.

the exterior angel is gained by adding two nonadjacent angles or the remote angels.

Answer:

c=-85

Step-by-step explanation:

17*-5=c

17*-5=-85

Answer:

3

Step-by-step explanation:

the perpendicular slope is the negative reciprocal.

-1 divided by -1/3 = 3

Answer:

[tex]m=\frac{-4}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (4, 2)

Point (1, 6)

Step 2: Find slope m