The number of students attending the seventh-grade class trip is 4 times the number of teachers attending.

What is the ratio of teachers to students attending the class trip?

9514 1404 393

Answer:

  2

Step-by-step explanation:

The slope can be found from the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (1 -3)/(4 -5) = -2/-1

  m = 2

The slope of the line is 2.

Answer:

2

Step-by-step explanation:

ΔY = 1 – 3 = -2

ΔX = 4 – 5 = -1

two negatives make a positive

Answer:

io

Step-by-step explanation:

Answer Hope this helps ^_^ Diamond is the name

Seven more than a number

Step-by-step explanation:

More than means + that number after the term. Because +7 comes after y, +7 is more than.

Answer:

A = 3/4

Step-by-step explanation:

alternately could equal 0.75

Answer:

x = 18

These two angles are formed by a transversal that cuts through 2 parallel lines. This means that (5x + 2) on line m corresponds to the angle on the right of (5x-2) on line n.

Now that we can see (5x + 2) and (5x - 2) are on a straight line, we can say that (5x + 2) + (5x - 2) = 180

10x + 0 = 180

10x = 180

x = 180/10

x = 18

Answer:

z = -1

Step-by-step explanation:

add like terms: 13z = -13

divide both sides by 13: z = -1

Answer:

z=-1

Step-by-step explanation:

Combine like terms: 11+2 ( 13z )

Divide: -13/13 ( -1 )

Answer:

Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children under the age of 12. Part A: Write a system of equations to represent the given scenario. Use the variable "a" for adults and "c" for children. 1.

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

One third

The centroid of a triangle divides each median.

The shorter segment is 1/3 and the length of the entire segment is 1

The centroid of a triangle divides the median in the following ratio

[tex]\mathbf{Ratio = 2 : 1}[/tex]

The fraction of the shorter segment is:

[tex]\mathbf{Short = \frac{1}{1 + 2}}[/tex]

[tex]\mathbf{Short = \frac{1}{3}}[/tex]

Hence, the shorter segment is 1/3, while the entire segment is 1.

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Answer:

The next time they would play despacito on both stations is after 35 minutes.

Hence, 3:00pm + 35

= 3:35 pm

Step-by-step explanation:

The radio hot 97 plays despacito ft Justin beiber every 5 minutes. Another station Z 100 plays despacito every 7 minutes. Both stations at start 3:00 pm and what time will it be when despacito at the same time ?

Find and list multiples of time that despacito plays Radio hot 97 and Station Z 100.

Hence, we find the Multiples of 5 minutes and 7 minutes until the first common multiple is found. This is the lowest common multiple.

Multiples of 5:

5, 10, 15, 20, 25, 30, 35, 40, 45

Multiples of 7:

7, 14, 21, 28, 35, 42, 49

Therefore, the first common multiple is found which is the lowest common multiple is 35

LCM(5, 7) = 35

The next time they would play despacito on both stations is after 35 minutes.

Hence, 3:00pm + 35

= 3:35 pm

Answer:

of course they play despacito that much lol

Step-by-step explanation:

Answer:

729

Step-by-step explanation:

hope it helps

Answer: 27/2 = 13 1 2\

also 729

Answer:

Step-by-step explanation:

3x =15-5y

Add 5y and subtract 3x on both sides

5y=15-3x

y=(15-3x)/5

Answer:

4

Step-by-step explanation:

Hope this helps!

Answer:

(-2, 12)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The standard form of parabola having vertex ( 2 , 5) is given by y = [tex]\frac{1}{4}[/tex] ( x - 2 )² + 5.

What is a parabola ?

A parabola is a plane curve that is produced when a point moves so that its distance from a given point equals its distance from a fixed line.

We know that , the standard form or general equation of a parabola is given by :

y  = a ( x - h )² + k

where : vertex is (h, k) and focus ( h , k + p)

We know that here directrix is y = k - p and a is a = [tex]\frac{1}{4p}[/tex]

It is given that focus is (2 , 6).

From focus :

h = 2 and k + p = 6

whereas from directrix :

k - p = 4

Adding both

k + p = 4

k - p = 6

We get :

2k = 10

or

k = 5

So ,

p = 1

And vertex will be :

(h , k) = (2 , 5).

The vertical distance from vertex to directrix p = 1 :

y  = a ( x - 2 )² + 5

here , a = [tex]\frac{1}{4p}[/tex] or a = 1/4

So , the standard form of given parabola will be :

y = [tex]\frac{1}{4}[/tex] ( x - 2 )² + 5

Therefore , the standard form of parabola having vertex ( 2 , 5) is given by y = [tex]\frac{1}{4}[/tex] ( x - 2 )² + 5.

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Answer:

B

E

H

I think this is right

For the given parallelogram following statements are true

B. The quadrilateral has opposite  sides that are parallel

F. Measure of angle Z = Measure of angle X

G. Measure of angle of W =120 degrees

A parallelogram is a simple quadrilateral with two pairs of parallel sides

Given,

Shorter sides are half the length of the longer sides. Length of he side WX and ZY are 12 inches. Angle Y is 120 degrees. Angle Y is opposite to angle W

Draw the figure using the the data

Using the figure we can say that

The quadrilateral has opposite  sides that are parallel

Measure of angle Z = Measure of angle X

Measure of angle of W =120 degrees

Hence, the correct options are B,F and G

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Answer:

C

Step-by-step explanation:

I counted by recording all the numbers nd steps

Answer:

C

Step-by-step explanation:

Answer:

m = 6/15

Step-by-step explanation:

Answer:

(-0.4,1)

Have a beautiful day, and stay safe.

Answer:

x = 6

Step-by-step explanation:

-2 + x = 4

x = 4 + 2

x = 6

Thank you :-)

Answer:

45/4

Step-by-step explanation:

We can interpret the question to have two equation which can be solve simultaneously

a+b=7------------(1)

a-b=2------------(2)

From eqn(2) make a subject of formula

a=2+b--------(3)

Substitute the (3) into eqn(1)

a+b=7------------(1)

2+b+b=7

2b=7-2

2b=5

b=5/2

From equation (3) substitute value of b to find a

a=2+b--------(3)

a= 2+5/2

a=9/2

Then What is the value of a x b ?

9/2× 5/2

=45/4

Answer:

11 1/4

Step-by-step explanation:

a+b=7

a-b=2

adding equations gives us 2a=9  so a= 9/2

b= 7- 9/2= 14-9/2=5/2

therefore a x b= 9/2 x 5/2 =45/4

45/4 in a mixed number is 11 1/4

Answer:

6

Step-by-step explanation:

2 books in each box.

There are three boxes

2 times 3 equals 6

Answer:

The order of ordered pairs of a function and its inverse reverse. The graph of the inverse of this function passes through the points (2,-1), (6,0), (-4,3).

Explanation:

I just took the test.

As per the graph, the non-invertible functions pass through the point of (-1, 2)), (0,6), and (3, - 4).  

Learn more about the graph of a non-invertible function that passes through the point.

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Answer:

T and Q

Step-by-step explanation:

It is right

Answer:

<STQ and <UTV

Step-by-step explanation:

Answer:

Mean: 1.7 and standard deviation 1.1.

Step-by-step explanation:

42% Of the poll workers are less than 60 years old. In other words, 58% of the poll workers are 60 years old: 1-0.42 = 0.58. So W is a geometric variable where the first "success" is poll worker who is at least 60years old.

Mean: 1/0.58 = 1.7241 poll workers, about 1.7 poll workers.

Standard deviation: sqr(1-p)/p = sqr(1-0.58)/0.58 = 1.1174 poll workers, about 1.1 poll workers.

The required Mean and the standard deviation are given as 1.7  and 1.1 respectively.

Given that,
During the last election, 42%, percent of the poll workers were under 60 years old. Let W be the number of poll workers Kiera contacts before reaching one that is 606060 years old or older.

The mean of the values is the ratio of the total sum of values to the number of values.

here,
42% of poll workers are under the age of 60. Also, 58% of poll workers are above the age of 60.
= 1 - 0.42 = 0.58.

So "W" is a geometric variable with the first success being a poll worker beyond the age of 60.

Mean =  1/0.58
         = 1.7 poll workers.

Standard deviation = √[(1-0.58)/0.58]
                             = 1.1 poll workers.

Thus, the required Mean and the standard deviation are given as 1.7  and 1.1 respectively.

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Answer:

x=-3

Step-by-step explanation:

Solve for x:

5x+2=4x−1

Move all terms containing x to the left side of the equation.

x+2=−1

Move all terms not containing x to the right side of the equation.

x=−3

Answer:

y= -4x +3

Step-by-step explanation:

① Rewrite the equation in the form of y=mx+c, to find the gradient of the given line, m.

x -4y= 20

4y= x -20

y= ¼x -5 (÷4 on both sides)

∴ Gradient of line= ¼

② Find the gradient of the new line.

The product of the gradients of perpendicular lines is -1.

¼(gradient of line)= -1

gradient of line

= -1 ÷¼

= -1 ×4

= -4

③ Substitute the value of the gradient into the equation.

y= -4x +c

④ Find the value of c by substituting a pair of coordinates.

When x= 2, y= -5,

-5= -4(2) +c

-5= -8 +c

c= -5 +8 (+8 on both sides)

c= 3

Thus, the equation of the line is y= -4x +3.

Answer: 1/8

[tex]2^{-3}=\frac{1}{2^{3} }=\frac{1}{8}[/tex]

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation: