Lucius and Angelina's teacher gave them a system of linear equations to solve. They each took a few steps that led to the systems shown in the table below.

Work Shown:

P(A) + P(not A) = 1

P(not A) = 1 - P(A)

P(not A) = 1 - 3/5

P(not A) = 5/5 - 3/5

P(not A) = (5-3)/5

P(not A) = 2/5

Step-by-step explanation:

P(A) + P(not A) = 1. Since P(A) = 3/5, we have:

P(not A) = 1 - P(A) = 1 - 3/5 = 2/5.

Answer:

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

y = 10 - 5/6·x

Step-by-step explanation:

The given equation of the line to which the required line is perpendicular is presented as follows;

y = 6/5·x + 9

A point on the desired line = (12, 0)  

The relationship of the slope, m₁ of a line, perpendicular to the another line of slope m₂, is given as follows;

m₁  = -1/m₂

Therefore;

The slope of the desired line = -1/(The slope of the given line)

The slope of the desired line = -1/(6/5) = -5/6

The equation of the desired line in point and slope form is given as follows;

y - 0 = -5/6 × (x - 12)

Therefore, the equation of the line in slope-intercept form is;

y = -5/6·x + 10 = 10 - 5/6·x.

Answer:

The answer is 75 minutes.

Explanation :

Wednesday is 300 minutes & Tuesday is 225 minutes because 450 ÷ 2 = 225.

Wednesday is 300 minutes & Tuesday is 225 minutes because 450 ÷ 2 = 225. SO 300 - 225 = 75.

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Answer:

He worked for 75 more minutes on Wednesday then on Tuesday.

Step-by-step explanation:

So since we know that Matty worked for 450 minutes in his office on Monday, we can find out for how long he was working on Tuesday since we know that.......

Let "y" be the number of minutes Matty will work on Tuesday

Let "x" be the number of minutes Matty worked on Monday

[tex]y = \frac{x}{2}[/tex]

Substitute the values we have and get......

[tex]y = \frac{450}{2}[/tex]

[tex]y = 225[/tex]

So now we can find out how much more he worked on Wednesday then on Tuesday by doing the following......

Let "w" be the number of minutes Matty worked on Wednesday, then.......

The answer = [tex]w - y[/tex]

The answer = 300 - 225

The answer = 75

Final Answer: [tex]n = -3[/tex]

Steps/Reasons/Explanation:

Question: How do you solve [tex]2 - 2n = 3n + 17[/tex]?

Step 1: Subtract [tex]2[/tex] from both sides.

[tex]-2n = 3n + 17 - 2[/tex]

Step 2: Simplify [tex]3n + 17 - 2[/tex] to [tex]3n + 15[/tex].

[tex]-2n = 3n + 15[/tex]

Step 3: Subtract [tex]3n[/tex] from both sides.

[tex]-2n - 3n = 15[/tex]

Step 4: Simplify [tex]-2n - 3n[/tex] to [tex]-5n[/tex].

[tex]-5n = 15[/tex]

Step 5: Divide both sides by [tex]-5[/tex].

[tex]n = -\frac{15}{5}[/tex]

Step 6: Simplify [tex]-\frac{15}{5}[/tex] to [tex]-3[/tex].

[tex]n = -3[/tex]

~I hope I helped you :)~

Answer:

I think it is B

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

b 3eedeehheheehejwjjhhhejjererj

Answer:

The first one and the last two

Answer:

the first one and the 2 last ones!

Answer:

x=3

Step-by-step explanation:

Answer:

X = 3

Step-by-step explanation:

I HOPE, PLS DON'T HATE ME :(

Answer:

a

Step-by-step explanation:

Answer:

30 squares?

Step-by-step explanation:

Answer:

57 °C.

Step-by-step explanation:

The formula that is used to convert temperature from Celsius (C) to Fahrenheit (F) is given by :

[tex]C=\dfrac{5}{9}(F-32)[/tex] ...(1)

If T = 134° F, we need to convert the temperature in Celsius.

Put F = 134, in equation (1)

[tex]C=\dfrac{5}{9}(134-32)\\\\=\dfrac{5}{9}\times 102\\\\=56.66^{\circ} C\\\\\text{or}\\\\T=57^{\circ} C[/tex]

So, the temperature on that day is 57 °C.

Answer:

12.5

Step-by-step explanation:

If an isosceles right triangle as the length of the equal sides is  a , then the length of the hypotenuse will be  a2–√  (using pythogoras theorem.

Hence the perimeter will be  a+a+a2–√=a(2+2–√)  

Hence the equal sides of the triangle in question has the length of  a=5  

Area of the triangle  =  12∗Height∗Base  

=12∗5∗5=12.5

Answer:

It is geometric

Step-by-step explanation:

Because it is increasing as 6 is being multiplied.

Answer:

10 feet worth

Step-by-step explanation:

3+3=6

2+2=4

6+4=10

Answer:

You would have 3 1/3 cups of milk left over.

Step-by-step explanation:

1 2/3 * 4 = 6 2/3

10 - 6 2/3 = 3 1/3

Answer:

y=2x-3

Step-by-step explanation:

y = 3x - 2

Since it is parallel to y = 3x - 1, it has its slope, but also when x = -2, y = -8.

Create an equation... starting with:

y = 3x

When x = -2, y = -8:

y = 3x - 2

Check work by substituing x for -2:

y = 3(-2) - 2

y = -6 - 2

y = -8 ✔️

Answer:

A

Step-by-step explanation:

Because it can only lift 2,200 pounds and that means it can lift 2,200 - 0 Pounds

Answer:

c because 5×4=20 and 3×5÷2=7.5= 27.5

Answer:

Step-by-step explanation:

First rewrite the first term as:

Now the sum is:

Answer:

(b - 1) (5b - 6)

Step-by-step explanation:

Answer:

85/1

Step-by-step explanation:

because both numbers are divisible by 16

Answer:

85

Step-by-step explanation:

1360 and 16 both have 16 in common. So...

1,360 ÷ 16 = 85

16 ÷ 16 =      1

85/1 = 85

The answer is 85.

Answer:

a) What is d?

b) 52fl.oz

Answer:

The answer would be 490.2 kg because when you're finding the percent of a certain number, you can multiply the number with the percentage. When converting the percentage, you have to move the decimal point 2 times to the left.

Answer:

490.02kg

Step-by-step explanation:

In short-

86%= 86/100

"of" in maths is basically "multiply"

therefore,

86/100 * 570=x

0.86*570=x

x=490.02

Answer:

15

Explanation

1/5x75=75/5 =15

15 seventh graders play in the jazz band as per the given ratio.

One quantity can be expressed as a fraction of other quantities using a ratio, which is a number. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given At Charles School, 1/5 of the 75 students in seventh-grade play in the jazz band.

In the form of a ratio

1/5 the students out of 75 play in the jazz band

Total students play in the jazz band = 75* 1/5

Total students play in the jazz band = 15

Therefore, The jazz band has 15 seventh graders playing according to the ratio.

Learn more about ratios here:

brainly.com/question/13419413

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