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3 years ago

11

a group of 20 students and 4 adults are going on a field trip to the mueseum make a diagram to show the ratio of students and ad

ults ?

1 answer:

Leona [35]3 years ago

7 0

Answer:

20=5(4)

Step-by-step explanation:

make it a linear function make the x-axis adults and the y-axis students and for every 1 adullt go up by 5 student

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. <br><br><br> Solve the equation. <br><br> 2/3 x – 6 = 9

Allisa [31]

Hey there!

Okay let's get cracking :D

The equation is.... (2x/3) - 6 = 9

2x/3 = 15
2x = 45
<u>x = 22.5</u><u /> <----- And that is your answer!

I hope it helped!

<u>Please vote for me as Brainliest if there is a second answer!</u>

4 0

3 years ago

Read 2 more answers

#12 with explanation please

4vir4ik [10]

Answer:

30.01 units

Step-by-step explanation:

<u>Given vertices WXYZ:</u>

W(-4,5), X(2,4), Y(3, -4), Z(-1, -6)

Perimeter is the sum of the side length.

<u>Use distance formula to find each side:</u>

WX = $\sqrt{(2+4)^2+(4-5)^2} =\sqrt{37}$ ≈ 6.08
XY = $\sqrt{(3-2)^2+(-4-4)^2} =\sqrt{65}$ ≈ 8.06
YZ = $\sqrt{(-1-3)^2+(-6+4)^2} =\sqrt{20}$ ≈ 4.47
WZ = $\sqrt{(-1+4)^2+(-6-5)^2} =\sqrt{130}$ $\sqrt{(-1+4)^2+(-6-5)^2}=\sqrt{130}$ ≈ 11.40

<u>Find perimeter:</u>

P = 6.08 + 8.06 + 4.47 + 11.40 = 30.01 units

7 0

3 years ago

High school students from grades 9–10 and 11–12 were asked to choose the kind of band to have play at a school dance: rap, rock,

yanalaym [24]

The correct two-way frequency table for the date will look like this:

RAP ROCK COUNTRY TOTAL
Grades 9-10 40 30 55 125
Grades 11-12 60 25 35 120
TOTAL 100 55 90 245

The sum of the row total is equal to the sum of the column total
125 + 120 = 100 + 55 + 90
245 = 245

8 0

3 years ago

Read 2 more answers

Set up a System of Equations and Solve

Bumek [7]

Answer:

The cost of each ice cream cone is $4.50

The cost of each ice cream basket is $3.75

The cost of each donut is $1.50

Step-by-step explanation:

Let

x-----> the cost of the ice cream cone

y----> the cost of the ice cream basket

z---> the cost of the donut

we know that

2x+y=12.75 ------> y=12.75-2x ------> equation A

x+2z=7.50 ------> z=(7.50-x)/2 -----> equation B

x+y+z=9.75 ----> equation C

substitute equation A and equation B in equation C and solve for x

x+(12.75-2x)+((7.50-x)/2)=9.75

Multiply by 2 both sides

2x+25.50-4x+7.50-x=19.50

3x=25.50+7.5-19.50

3x=13.5

x=$4.50

Find the value of y

y=12.75-2(4.50)=$3.75

Find the value of z

z=(7.50-4.50)/2=$1.50

therefore

The cost of each ice cream cone is $4.50

The cost of each ice cream basket is $3.75

The cost of each donut is $1.50

6 0

3 years ago

1. What is an equation for the line with slope 2/3 and y-intercept 9?

Monica [59]

Question 1:

The generic equation of the line is given by:
$y = mx + b
$
Where,
m: slope of the line
b: cutting point with the y axis
Substituting values we have:
$y = \frac{2}3}x + 9
$
Answer:
an equation for the line with slope 2/3 and y-intercept is:
$y = \frac{2}3}x + 9$

Question 2:

The standard equation of the line is given by:
$y-yo = m (x-xo)
$
Where,
m: slope of the line
(xo, yo): ordered pair that belongs to the line
The slope of the line is:
$m = \frac{y2-y1}{x2-x1}$
Substituting values:
$m = \frac{1-(-3)}{3-1}$
$m = \frac{1+3}{3-1}$
$m = \frac{4}{2}$
$m = 2
$
We choose an ordered pair:
$(xo, yo) = (3, 1)
$
Substituting values:
$y-1 = 2 (x-3)
$
Rewriting:
$y = 2x - 6 + 1

y = 2x - 5$
Answer:
An equation in slope-intercept form for the line that passes through the points (1, -3) and (3,1) is:
$y = 2x - 5
$

Question 3:

For this case, since the variation is direct, then we have an equation of the form:
$y = kx
$ Where,
k: constant of variation.
We then have the following equation:
$-4y = 8x
$ Rewriting we have:
$y = \frac{8}{-4}x
$
$y = -2x
$ Therefore, the constate of variation is given by:
$k = -2
$
Answer:
the constant of variation is:
$k = -2$

Question 4:

For this case, since the variation is direct, then we have an equation of the form:
$y = kx
$ Where,
k: constant of variation.
We must find the constant k, for this we use the following data:
y = 24 when x = 8
Substituting values:
$24 = k8
$ Clearing k we have:
$k = \frac{24}{8} 
$
$k = 3
$
Therefore, the equation is:
$y = 3x
$ Thus, substituting x = 10 we have that the value of y is given by:
$y = 3 (10)

y = 30$ Answer:
the value of y when x = 10 is:
$y = 30$

6 0

3 years ago

Read 2 more answers