4/9 = ?/?

+ 5/18 = ?/?
___________
?/?

This approximates to roughly 6/7 = 0.8571

========================================================

Explanation:

Let's define the following

There are 30 students in the class total. This must mean A+B+C+D = 30.

We know that "There were 7 students who failed the test and also did not complete the assignment", meaning we can say D = 7.

We can also say A+B = 21 because this is the entire group of people who passed the test (whether they did the hw or not).

This means:

A+B+C+D = 30

(A+B)+C+D = 30

(21) + C + 7 = 30

C+28 = 30

C = 30-28

C = 2

We have 2 people who failed the test, but did the hw.

Because 20 students did the hw, we know that

A+C = 20

A+2 = 20

A = 20-2

A = 18

We have 18 students who passed the test and did the hw. This is out of 21 students who passed. From here on out, we only focus on this group of students because of the phrasing "given that they passed the test". This means we know 100% that whoever we picked, they passed the test.

The probability we're after is therefore:

18/21 = (3*6)/(3*7) = 6/7

Side note: It might help to sort the data into a table as shown below. Start with table 1, and the goal is to replace the placeholder letters with the proper numbers, to arrive at table 2. You'll have to use algebra as shown earlier to fill out the table.

Answer:

6/7

Step-by-step explanation:

It's correct trust me.

Answer:

c = 25m + 40

Step-by-step explanation:

Answer:

B I am guessing, not that good at english, though

Answer:

B) The value of r would not change

Step-by-step explanation:

If there's a positive association between sodium and calories, that's like saying there's a positive association between calories and sodium. Therefore, the value of r would not change because both variables are still increasing with each other.

Answer:

85 degrees

Step-by-step explanation:

Hi there!

<x is an exterior of the triangle ABC. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. Therefore, we could say that x is equal to the sum of 60 and 25:

60+25=x

85=x

Therefore, angle x measures 85 degrees.

I hope this helps!

Answer:

85

Step-by-step explanation:

To be honest I don't know❤️

Note: your teacher may not want you to enter "feet" and instead may just want the number only.

===================================================

Work Shown:

tan(angle) = opposite/adjacent

tan(40) = h/20

20*tan(40) = h

h = 20*tan(40)

h = 16.7819926 which is approximate

h = 16.8

The streetlamp is approximately 16.8 ft tall.

When using your calculator, make sure it's in degree mode. One way to check is to compute something like tan(45) and you should get 1 as a result.

Answer:

7

Step-by-step explanation:

Answer:

what is a COP huhhh?????

Answer:

16

Step-by-step explanation:

8*2*1=16

Answer:

D. an = 4n

Step-by-step explanation:

The formula for finding a term of an arithmetic sequence is:

an = a1 + (n-1)d

where an is the nth term, a1 is the first term and d is the common difference between the terms.

To find d we can take any two adjacent terms and subtract one from the other. e.g. 8 - 4 = 4, 16-12 = 4 etc.

The common difference here is 4, and we can see that the first term of the sequence is also 4, therefore our formula now looks like this:

an = 4 + (n-1)4

Now we can just expand out the brackets to find the final answer:

an = 4 + 4n - 4

an = 4n

Hope this helped!

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

• If a > 0 then vertex is minimum

• If a < 0 then vertex is maximum

Given

y = x² + 6x + 10

(a)

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² + 6x

y = x² + 2(3)x + 9 - 9 + 10

y = (x + 3)² + 1 ← in vertex form

(b)

Since a = 1 > 0 then vertex is a minimum

(c)

(h, k ) = (- 3, 1 ) ← coordinates of vertex

Answer:

im sorry you need to take a better pic i can see the graphs

Answer:

27.83 dollars

Step-by-step explanation:

Answer:

The answer for the first one is 5 2/5

The answer for the second one is 3 1/7

The last answer is 3

Step-by-step explanation:

Answer:

y = 312x + 2

Step-by-step explanation:

According to y = mx + b, m stands for slope and b stands for y-intercept. Let us find the y-intercept. To find the y-intercept, the x should be zero in (x, y).

(x, y)

(0, 2) ---> y-intercept (b)

Now that we have found the y-intercept, we will now find the slope by using its formula.

Slope formula:-

m = y2 - y1 / x2 - x1

Pick two random (x, y). I will pick the first and last pairs.

(0, 2) and (4, 1250)

Now plug these two pairs in the formula.

m = y2 - y1 / x2 - x1

m = 1250 - 2 / 4 - 0

m = 1248 / 4

m = 312

This means that the slope (m) is 312. Now put that in y = mx + b form.

y = mx + b

y = 312x + 2

Both of the forms are the same. Hope this helps, thank you :) !!

Answer:

AC=35

Step-by-step explanation:

Sin=opposite/hypotenuse

Sin54=AC/43

AC=43sin54

AC=34.78≈35

c.) 3(2x-6)

Reason:-

3(2x-6) = 6x-18

Answer:

C, D, and E are your answers

3 x 2x = 6x, 3 x 6 = 18

6x - 18

x + 5x = 6x

6x - 18

2 x 3x = 6x

2 x 9 = 18

6x - 18

The Ball Rolls Downhill, It's Kinetic Energy Increases And It's Potential Energy Maximum.

Hope Helps! :)

[tex] \: \: [/tex]

Answer:

This is one of my specialties so sit back, relax while I work on this for 5 mins :)

Step-by-step explanation:

The formula is a^2 + B^2 = c^2

Sooo

7^2 + 5^2 = c^2

49 + 25 = 74

√74 = √c^2

8.60232526 = c

8.60232526 rounded to the nearest tenth is 8.6

So there you go. Hope it helps!!

Answer:

Step-by-step explanation:

if your doisjw0= and yes it would be 35%

Answer:

38 bows

Step-by-step explanation:

50 ÷ 1.3 ≡ 38 6/13

38 × 1.3 = 49.4

Since you cant make 6/13 of a ribbon, Elizabeth would be able to make 38 bows.

Answer:

slope is 1/2

Step-by-step explanation:

Answer:

graph D. it shows how much has you have at the beginning and ascends down to what you have left at 500

Answer:

Graph D

Step-by-step explanation:

With the other graphs, the information is too spread out or confusing. Graph D sums it up properly and makes it easy to read and understand.

Answer:

D. y ≥ 2x – 2

Step-by-step explanation:

Graph the inequality by finding the boundary line, then shading the appropriate area.

y ≥ 2 x + 2

Graph the inequality by finding the boundary line, then shading the appropriate area.

y ≥ − 2 x + 2

Graph the inequality by finding the boundary line, then shading the appropriate area.

y ≤ 2 x − 2

Graph the inequality by finding the boundary line, then shading the appropriate area.

y ≥ 2 x − 2

Answer:

Adam took 132 minutes longer than Steve.

Step-by-step explanation:

Let's find the time that takes Steve and Adam to complete the race. We will use the equation:

[tex] V = \frac{d}{t} [/tex]              

Where:

d: is the distance = 26 miles

t: is the time =?

V: is the speed

For Steve we have the following time:

[tex] t_{s} = \frac{d}{V_{s}} = \frac{26 mi}{4 mi/h} = 6.5 h*\frac{60 min}{1 h} = 390 min [/tex]

And the time of Adam is:

[tex] t_{a} = \frac{d}{V_{a}} = \frac{26 mi}{3 mi/h} = 8.7 h*\frac{60 min}{1 h} = 522 min [/tex]

So, the difference between the time of Adam and Steve is:

[tex] \Delta t = t_{a} - t_{s} = 522 min - 390 min = 132 min [/tex]

Hence, Adam took 132 minutes longer than Steve.

I hope it helps you!

Answer:

20 gallons

Step-by-step explanation:

set up proportion

15/x=75/100

cross multiply

75x=1500

x=20 gallons

Answer:

I think its 2 times the original volume, im so sorry if im wrong!!

Step-by-step explanation:

Edit: I thought it was two but i guess it was 4, heres the real answer for people who were wondering, im so sorry!!