Francis did this work to solve an equation. Did he make an error?
3x = 10 - 2x
-2x
-2x
x = 10

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

Since AB bisects AC, AB = BC.

[tex]x+12=6x-23[/tex]

Subtract 12 from both sides:

[tex]x+12-12=6x-23-12[/tex]

[tex]x=6x-35[/tex]

Subtract 6x from both sides:

[tex]x-6x=6x-35-6x[/tex]

[tex]-5x=-35[/tex]

Divide both sides by -5:

[tex]\frac{-5x}{-5}=\frac{-35}{-5}[/tex]

[tex]x=7[/tex]

Answer:

-13 and -2

Step-by-step explanation:

Answer:

Step-by-step explanation:

the product as 26 and the sum of the two numbers as 15, one can say that the two numbers are 13 and 2.

Answer:

f(x) = |x| represents the modulus function or absolute value function. It gives us the distance between any point and the origin. Since distance can never be negative so we always consider its positive value only. You can simply multiply the given value with ‘-1’(if the given value is negative).

Step-by-step explanation:

Answer: y = -1x + 5

Step-by-step explanation:

1. Plug the coordinates into the slope formula (y2 - y1)/ (x2 - x1)

(0 - 6)/ (5 -(-1))

2. Solve for slope

-6/6

= -1

3. Plug the first coordinate and slope into the point slope form equation (y - y1) = slope(x - x1) to find the rest of the equation of the line

(y -(-1)) = -1( x - 6)

4. Solve for y

y + 1 = -1x + 6 -----> y = -1x + 5

Answer:

A

Step-by-step explanation:

Difference of squares: (a^2 - b^2) = (a - b)(a + b)

(144x^2 - 49) = (12x - 7) (12x + 7)

Answer:

A. (12x - 7) (12x + 7)

Step-by-step explanation:

144x^2 - 49

Rewriting

(12x)^2 - 7^2

Recognizing this is the difference of squares

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

( 12x-7) (12x+7)

Answer:

D.) 10x + 2y

Step-by-step explanation:

x + 4x + 4x + x = 10x

y + y = 2y

10x + 2y

Hopefully this helps you :)

pls give me brainlest ;)

Answer:

a. They are same side interior angles. Angle A measures 55°.

Step-by-step explanation:

They are the same side interior angles. Angle A measures 55°.

If you think about it, you'll see that when you add any of the interior angles of a triangle to its neighboring exterior angle, you always get 180 degrees a straight line.

Interior angles are those that lie inside a polygon. For example, a triangle has 3 interior angles. The other way to define interior angles is "angles enclosed in the interior region of two parallel lines when intersected by a transversal are known as interior angles".

Learn more about interior angles here https://brainly.com/question/24966296

#SPJ2

Answer:

16.50

Step-by-step explanation:

First do 15% of 100$ then 15% of 10% and add the two values together.

Answer:

1.4959787 × 10^8

Step-by-step explanation:

Calculating scientific notation for a positive integer is simple, as it always follows this notation: a x 10^b.

Follow the steps below to see how 149,597,870 is written in scientific notation.

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 149,597,870

New Number: 1.49597870

Step 2

Now, to find b, count how many places to the right of the decimal.

New Number: 1 . 4 9 5 9 7 8 7 0

Decimal Count: 1 2 3 4 5 6 7 8

There are 8 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10^b

a = 1.4959787 (Please notice any zeroes on the end have been removed)

b = 8

Now the whole thing:

1.4959787 x 10^8

Step 4

Check your work:

10^8 = 100,000,000 x 1.4959787 = 149,597,870

Hope this helped.

Given :

Alice’s score is twice the difference of Aaron’s score and 5.

The sum of their scores is 320.

To Find :

Each students bowling score.

Solution :

Let , score of Aaron is x .

So , score of Alice is 2(x-5) .

Also , Their sum of scores is equal to 320 .

[tex]x+2(x-5)=320\\\\3x-10=320\\\\x=11[/tex]

Therefore , score of Aaron and Alice 11 and 12 .

Hence , this is the required solution .

Answer:

[tex] S_{10} = 135[/tex]

Step-by-step explanation:

Given sequence is:

3 + 6 + 9 +...

Here,

a = 3, d = 6 - 3 = 3, n = 10

[tex]\because S_n = \frac{n}{2} \{2a + (n - 1)d \} \\ \\ \therefore \: S_{10} = \frac{10}{2} \{2 \times 3 + (10 - 1) \times 3\} \\ \\\therefore \: S_{10} = 5 \{6 + 7 \times 3\} \\ \\\therefore \: S_{10} = 5 \{6 + 21\} \\ \\\therefore \: S_{10} = 5 \times 27 \\ \\ \huge \orange{ \boxed{\therefore \: S_{10} = 135}} \\ \\[/tex]

Answer:

141 = 212/u

Step-by-step explanation:

Step-by-step explanation:

27^x = 9^(x - 4)

3^3x = 3^2(x - 4)

3x = 2(x - 4)

3x = 2x - 8

3x - 2x = -8

x = -8

Answer:

x = 20

Step-by-step explanation:

[tex]3x + 6x = 180\\9x = 180\\x = 20[/tex]

Answer:

0.015

Step-by-step explanation:

Answer:

15,000

Step-by-step explanation:

Answer:

The coordinates of point B are (23,-2)

Step-by-step explanation:

Mathematically, what this question is telling us is that the point P divides the segment AB in the ratio 2:3

We are now tasked with finding the coordinates of point B

For point P to have divided the segment in that particular ratio, then, internal division formula would have been used.

Mathematically, the internal division formula is given as;

(x,y) = (mx2 + nx1)/(m + n) , (my2 + ny1)/(m + n)

In this particular question case;

(x,y) are coordinates of p = (8,1)

x = 8 , y = 1

m = 2 , n = 3

x1 = -2 , y1 = 3

x2 = x , y2 = y ( coordinates of point B)

So let’s make the substitution;

(8,1) = 2x + 3(-2)/2+3) , 2(y) + 3(3)/(2+3)

(8,1) = (2x-6)/5 , (2y + 9)/5

So therefore; let’s equate

(2x-6)/5 = 8

and 2y+ 9/5 = 1

2x-6/5 = 8

2x -6 = 8*5

2x -6 = 40

2x = 40 + 6

2x = 46

x = 46/2

x = 23

(2y + 9)/5 = 1

2y + 9 = 5 * 1

2y + 9 = 5

2y = 5-9

2y = -4

y = -4/2

y = -2

So the coordinates of point B are (23,-2)

Answer:

75 cents

Step-by-step explanation:

50 plus 15=75

Answer:

0.75

Step-by-step explanation:

2.25-1.50

Answer:

0.2

Step-by-step explanation:

Missing table in the question

Total number of juice bought:

Probability of a student choosing grape flavor:

Answer is 0.2

Probability that a student who bought juice chosen at random purchased the grape flavor is 0.2.

According to the question, there are three lunch periods and the number of students that take different flavors of juice is shown below;

Since probability = Expected outcome/sample space

Sample space = 51 + 30 + 69 = 150

Probability that a student who bought juice chosen at random purchased the grape flavor = 30/150 = 0.2

Learn more: https://brainly.com/question/12108425

Missing parts;

Three flavors of juice are offered at a school cafeteria. The table shows the number of students who purchased each flavor during three lunch periods. Orange Grape Cherry 51 30 69 Based on the table, what is the probability that a student who bought juice chosen at random purchased the grape flavor? O A. 0.2 O B. 0.25 O C. 0.3 D. 0.33

Answer:

Step-by-step explanation:

x^2 -4x - 9 = 29

x^2 - 4x = 37

x = 2 ±[tex]\sqrt{42}[/tex]

Answer:

x = 2 ± [tex]\sqrt{42}[/tex]

Step-by-step explanation:

x^2 -4x - 9 = 29

x^2 - 4x = 37

x = 2 ± [tex]\sqrt{42}[/tex]

Answer:

8

Step-by-step explanation:

Answer: 8

Step-by-step explanation: 8/3 x 3/1 = 8

Answer:

31

Step-by-step explanation:

Answer:

eh..you probaly shouldnt trust me

Step-by-step explanation:

8, and (8+2) = 10 Therefore the second term is 10. Another arithmetic sequence of common difference-5 and first term 15. The firs two terms of this sequence are: 15, and (15 - 5) = 10. Therefore again a 10 as second term.

Steps to solve:

2x - 3 = 5x + 6

~Add 3 to both sides

2x = 5x + 9

~Subtract 5x to both sides

-x = 9

~Divide -1 to both sides

x = -3

Solve for 4x using x = -3

4(-3) = -12

Therefore, the answer is x = -12

Best of Luck!