Mr. Chin asked his class to solve for y in the equation 8(3y - 5) = 9(y - 5) -1. Explain how to solve for y. Then solve.

Answers

Answer 1

Answer:

[tex]\Huge \boxed{\boxed{\bf{y = -\frac{2}{5} }}}[/tex]

Step-by-step explanation:

To solve for [tex]\tt{y}[/tex] in the equation [tex]\tt{8(3y - 5) = 9(y - 5) - 1}[/tex], we'll need to simplify and isolate the variable.

Let's start by distributing the 8 on the left side and the 9 on the right side of the equation:

[tex]\tt{8(3y - 5) = 9(y - 5) - 1}[/tex][tex]\tt{24y - 40 = 9y - 45 - 1}[/tex]

Next, we'll combine like terms on both sides of the equation:

[tex]\tt{24y - 40 = 9y - 46}[/tex]

To isolate the variable, we'll move all the terms involving y to one side of the equation. Let's subtract 9y from both sides:

[tex]\tt{24y - 9y - 40 = 9y - 9y - 46}[/tex]

Simplifying further, we have:

[tex]\tt{15y - 40 = -46}[/tex]

To isolate "y," let's add 40 to both sides:

[tex]\tt{15y - 40 + 40 = -46 + 40}[/tex]

Simplifying, we get:

[tex]\tt{15y = -6}[/tex]

Finally, we can solve for "y" by dividing both sides of the equation by 15:

[tex]\tt{\frac{15y}{15} = \frac{-6}{15}}[/tex]

Simplifying the equation, we have:

[tex]\tt{y = -\frac{2}{5} }[/tex]

So, the solution to the equation is y = -2/5.

Learn more about solving equations that have variable on both sides.

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Full Steps

[tex]\bf{8(3y - 5) = 9(y - 5) - 1}[/tex][tex]\tt{24y - 40 = 9y - 45 - 1}[/tex][tex]\tt{24y - 40 = 9y - 46}[/tex][tex]\tt{24y - 9y - 40 = 9y - 9y - 46}[/tex][tex]\tt{15y - 40 = -46}[/tex][tex]\tt{15y - 40 + 40 = -46 + 40}[/tex][tex]\tt{15y = -6}[/tex][tex]\tt{\frac{15y}{15} = \frac{-6}{15}}[/tex][tex]\tt{y = -\frac{2}{5} }[/tex]

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Related Questions

A line has a slope of 5. It passes through points (1,4) and (6,y). What is the value of y?

Answers

Answer: y=29

Step-by-step explanation:

Based on the formula: slope= y2-y1/x2-x1

5=[tex]\frac{y-4}{6-1}[/tex]

5= y-4 / 5

5 x 5 =25

y-4=25

y=29

Answer: 5=

Step-by-step explanation:

m=y2-y1/x2-x1

since m=5 then

5=y-4/6-1

5=y-4/5

1=y-4

5=

Please help asap 95 points

Answers

$1.35 per pound

Take 25.65 and divide by 19 (pounds).

The answer will be $1.35.

You can check your answer by multiplying 19 by 1.35 and getting 25.65.
$1.35 (You can ignore this, I’m just trying to add my own question but it won’t let me due to requirements.)

Check that 12g is equivalent to 48%.

Answers

Answer:

See answers in the picture below.

Step-by-step explanation:

Graph this function: y=|x–3|+3

Answers

Answer:

Here is the graphed visual of the equation.

X : 1,2,3,4,5
Y : 5,4,3,4,5

what is the answer for 5/8x + 4 = 3/8x + 12






















Answers

Answer:

x=32

Step-by-step explanation:

Answer:

x = 32

Step-by-step explanation:

Julia decides to sell the baskets she doesn’t have room for. If she bought each of them for $8.50 and sells them for $12, what is percent of markup? What is her overall profit?

Answers

Given:

Cost = $8.50,Selling price = $12.00.

Find markup:

$12.00 - $8.50 = $3.50

Percent of markup:

3.50/8.50 × 100% = 41.18% (rounded)

The number of baskets is not given. If it is x, then total profit is:

3.5x dollars

Given:

Cost = $8.50,

The selling price = is $12.00.

Find markup:

$12.00 - $8.50 = $3.50

Percent of markup:

3.50/8.50 × 100% = 41.18% (rounded)

The number of baskets is not given. If it is x, then the total profit is:

3.5x dollars

Step-by-step explanation:

The product of 6, and a number increased by 2, is -24. What is the number?

Answers

Answer:

-30

Step-by-step explanation:

(x+2)+6=-24

(-30)+2)+6= -24

-28+6= -24

-24=-24

Answer: -10

Step-by-step explanation:

3/4% of 801: Estimate

Answers

Answer:

6

Step-by-step explanation:

3/4 of 801 is approx 600

   3/4 % of 801 would be this answer divided by 100 .... = 6

6
Thats answer you welcome

Which expression can be used to find the surface area of the triangular prism? Will give Brainliest!

Answers

Answer:

C

Step-by-step explanation:

It is usually A= 1/2 B*H which 1/2*3*4 in parentheses would fit this, but im not 100% sure!

We are given the dimensions in the net drawing (the two-dimensional image of the shapes used to create the triangular prism). Let’s list the information we have:

• We have two congruent right triangles with bases=3 and heights=4

• 3 Rectangles, which all share the same width: width=2

Since we are dealing with two-dimensional figures, we must use the area formulas for them.

Area of triangle:

A=1/2•B•H

Area of a rectangle:

A=L•W

Because we have two congruent triangles, their areas must be congruent, too. So, we have double the area of one triangle. So, we can modify the formula:

A=2(1/2•B•H)

Because all three rectangles share the same width but have different lengths, we can add their lengths together to form one whole rectangle.

4+3+5=12

So, all three rectangles’ sides have been combined (added) to form one whole rectangle with the dimensions:

12 by 2.

Now, because the surface area is the total area used to form the faces of a 3-D shape, we must add all the areas of the figures together.

Area of a triangle (modified)

A=2(1/2•3•4)

Area of rectangle:

A=12•2

Simplify:

Triangle:

A=2(6)

A=12

Rectangle:

A=12•2

A=24

Now, let’s add the areas together:

12+24=36

So, the surface area is 36ft^2.

Now, to answer the question, option 3.) is correct

A: 2(1/2•3•4)+4•2+3•2+5•2

How do the expressions 2q^2-3p and 2(p+q)/q Compare when p=8 and q=4?

Answer with a symbol :)

Answers

Answer:

  2q^2-3p > 2(p+q)/q

Step-by-step explanation:

You want to compare 2q^2-3p and 2(p+q)/q when (p, q) = (8, 4).

Evaluation

To find the value of the expression, put the numbers in place of the corresponding variables, and do the arithmetic.

2q^2 -3p

  2(4)^2 -3(8) = 2(16) -3(8) = 32 -24 = 8

2(p+q)/q

  2(8+4)/4 = 2(12)/4 = 24/4 = 6

The first expression is greater than (>) the second expression.

2q to the power of 2 - 3p - 2(p + q / q)
64 - 24 - 3
37

I don't understand please answer?

Answers

Answer:

B) symmetric bar graph

Step-by-step explanation:

U shaped symmetric

B
Thats the answer js pick the one

Graphing Linear Equations in Standard Form

Answers

Answer:

y=-3/4x-3

Step-by-step explanation:

because you need to make it into graphing forms so you would transfer the 3 over and divide the 3 and the 12 to get y=-3/4x-3

I love you guys, I really rely on brainly, which probably isnt a good thing but here we are lol. Heres my question

Answers

Answer: d=36

Step-by-step explanation:

9/2=4.5

36/8=4.5 :)

Cross multiple

72=2d

D=36

What is 2 by the power of 3
A. 6
B. 8
C. 200
D. 400
E. 490

Answers

B. 8
Because 2^3=2.2.2=8
Option A {8}

It can be written by 2•2•2

PLEASE HELP!!!!!!!!!!!!!!!!!
WILL MARK BRAINLIEST
What is 5,890,000 in Scientific Notation?

Answers

Answer:

5.89 x 10^6

The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease.

Calculating scientific notation for a positive integer is simple, as it always follows this notation:

a x 10b

Follow the steps below to see how 5,890,000 is written in scientific notation.

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

Original Number: 5,890,000

New Number: 5.890000

count how many times you moved the decimal and that's your power

in this case it's ^6

It’s 5.89 X 10^6. This is, in England, called standard form. It’s how really large numbers are represented in a small way.

The amount of money you spend on x CDs and y DVDs is given by the equation 14x+18y=126. Find the intercepts.

Need this soon please

Answers

Answer:

The y intercept is (0,7) The x intercept is (9,0)

Step-by-step explanation:

You set the x to zero if you want the y intercept and vice versa for the x intercept.

14x+18y=126  y intercept

14(0)+18y=126

0+18y=126

18y=126  divide by 18

y=7

do the same thing for the x intercept except set the y to 0  

Hi there! Please help me asap and explain how you did it... Tysm!♡♡

Answers

Answer:

A = ( -1 , 4 )

B = ( -4 , 3 )

C = ( -2 , 1 )

Explanation:

You basically just flip it along the line like a mirror would

A = ( -1 , 4 )

B = ( -4 , 3 )

C = ( -2, 1 )

Basically, you match the coordinates of the image to the other part and see the new coordinates. It's like seeing something in a mirror, but with a different view.

(Hope it helps!)

What does pemdas stand four ??

Answers

Answer:

Parentesis

Exponent

Multiplication

Division

Addition

Subtraction

Step-by-step explanation:

Answer: PEMDAS stands for parenthesis, exponents, multiplication, division, addition, subtraction

What is the difference between a ratio and its related rate and unit rate?

Answers

Answer:

The difference between a rate and a unit rate is that a rate is a ratio between two different units of measure. In comparison, a unit rate is a ratio between two different units of measure for a single thing. I hope this helps! :)

Step-by-step explanation:

Answer: a ratio consists of two numbers such as 10:5 while a unit rate is the rate that something is going at

Step-by-step explanation:

Two stores advertise a discount on the same type of watch. At both stores, the original price of the watch was $35.00

Store A discounts the price of the watch by 20%
Store B discounts the price of the watch by 15%

How much less is the discounted price of the watch at store A than the discounted price of the watch at store B?

Answers

store A would pay: $28
store B would pay: $29.79

The correct discounted amount of store A compared to store B is $1.79

Store A has $ 1.75 less discounted price than Store B.

What is Percentage?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

The original price of the watch was $35.00

Store A:

Discount = 20%

So, price after discount = 35 - 35 x 0.20

                                       = $28

and, Store B:

Discount = 15%

So, price after discount = 35 - 35 x 0.15

                                       = $29.75

Hence, Store A has $ 1.75 less discounted price than Store B.

Learn more about Percentage here:

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can someone tell me how to do this and how to find the answer

Answers

Answer:

the answer would be c.

Step-by-step explanation:

on the bar graph it says $9 per pound so it means the answer is c

C.
The slope of the line is always rise/run.
This graph is rising $9 and running 1 pound, so it is 9/1.

what is the answer for 5/11x + 2/3x - 1/6x = -189

Answers

Answer:

x = -198

Step-by-step explanation:

5/11 x + 2/3 x - 1/6 x = -189

66(5/11x + 2/3x - 1/6x) = 66(-189)

30x + 44x - 11x = -12474

63x = -12474

x = -198

Answer:

x = -210

Step-by-step explanation:

[tex]\frac{5}{11x} + \frac{2}{3x} - \frac{1}{6x} = -189[/tex]

[tex]\frac{37}{33x} - \frac{1}{6x} = -189[/tex]

[tex]\frac{21}{22x} = -189[/tex]

0.9x = -189

[tex]x = \frac{-189}{0.9}[/tex]

x = -210

The average weight of five cats is 5.2 kg. The weights of four of the cats are 5.4 kg, 5 kg, 4.8 kg, and 4.9 kg. Find the weight of the fifth cat.

Answers

Answer:

5.9 kg

Step-by-step explanation:

Remember! To find the average of things, you add them al up and divide by how many things there are. This is an important detail that will help us solve the problem

It says the average is 5.2
This means ...

( weight of cat 1 + cat 2 + cat 3 + cat 4 + cat 5 ) ÷ 5 = 5.2

Let's plug in all of the values we know to find the weight of cat 5

( 5.4 + 5 + 4.8 + 4.9 + CAT 5 ) ÷ 5 = 5.2

Let's add all of this up and solve this!

( 20.1 + CAT 5 ) ÷ 5 = 5.2

multiply 5 by both sides so we can get the weight of cat 5 alone

20.1 + CAT 5 = 26

subtract

CAT 5  = 26 - 20.1

CAT 5 = 5.9

the weight of cat 5 is 5.9 kg

answer:
The weight of cat five is 5.9g

Explanation:
The average of something can be found by adding all items together and then divide by how many items there are all together

i need the answer to this please ;) and quick

Answers

Answer: Yes

Step-by-step explanation:

10: 10, 20, 30, 40, 50 , 60, 70, 80 , 90, 100, 110, 120

12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120

Both have 120 as a common multiple.

Answers -Yes
and 120 is the commom multiple

The frequency table shows how many visits to the library students in a school have made in the last month.

Visits Frequency
0 7
1 54
2 142
3 276
4 92
5 23

Work out the mean.
Give your answer rounded to 1 DP.

Answers

329.8 is the correct answer

A toy company's total payment for salaries for the first two months of 2012 is $40,765. Write and solve an equation to find the salaries for the second month if the first month’s salaries are $10,205.

Answers

Answer:

its D

12,455 + x = 23,894

x = 10,560

Step-by-step explanation:

Let's say that the variable 'x' represents the salaries for the second month, so out equation would be:

10,205 + x = 23,894

To solve, we must isolate the variable by subtracting 12,455 from both sides:

10,205 + x = 23,894

-10,205        -10,205

x = 10,560

So, the second month's salary was $10,560

Step-by-step explanation:

Answer: x = $30,560

Step-by-step explanation:

1. Let the second month payment be x

2. The first month + The second month = both of the months

3. So substituting: 10,205 + x = 40,765

4. Subtract 10,205 from both sides: x = 30,560

If the product of 6 integers is negative, at most how many of the integers can be negative?​

Answers

Answer: 5 negatives

Step-by-step explanation:

Sam’s Soups is open 6 days a week, 76 hours in all. Its hours are the same every day, except on Saturday and Sunday. On those days, it is open 2 hours longer. How long is Sam’s Soups open on Sunday? Use an equation to solve.

Answers

Answer:

14 hours

Step-by-step explanation:

Let x be the number of hours open on each of the four days (because it is six days per week) that are not Saturday or Sunday. Thus, the total number of hours on those days would be 4x. Then, we are told that Sam's Soups are open 2 hours longer on Saturdays and Sundays, so that would be x + 2. There are two of those days, so that would be 2(x + 2). Since all of these hours total 76, we have our equation:

4x + 2(x + 2) = 76

4x + 2x + 4 = 76

6x = 72

x = 12

Remember, 12 hours is the number of hours that Sam's Soups is open on days that are not Saturday and Sunday. Those days are x + 2. Thus, that is 12 + 2 = 14 hours.

Answer:

14 hours

Step-by-step explanation:

x = hours on day other than saturday and sunday

y = hours on Saturday and Sunday.

Sam's soups are only open 6 days a week, and 2 are weekends, so it is only open on 4 weekdays.

4x + 2y = 76

We know the hours on Saturday and Sunday are 2 hours more than the weekday hours.

So,

y = x + 2

Substituting that back into the original equation,

4x + 2(x+2) = 76

4x + 2x + 4 = 76

6x = 72

x = 12

y = 14

So Sam's Soups is open 14 hours on Sunday.

Find the sum of all the natural numbers from 1 and 400, inclusive, that are not divisible by 11.

Answers

Answer: 72874

Step-by-step explanation:

To solve this, you can first find the sum of all numbers from 1 to 400. Using the formula for arithmetic series, you can get 1+2+3+4...+400=80200. Then, you can subtract all multiples of 11 from 1 to 400. That is 11+22+33+44+...+396. Dividing all numbers by 11, we have the new arithmetic series 1+2+3+4..+36, which using the formula, equals 666. Multiply this by 11 to get 7326 and subtract from 80200 to get 72874.

Write the system of equations in Slope-Intercept Form from the graph below.

Answers

Answer:

y > -2x +3 . . . . line Ay ≤ x . . . . . . . . line B

Step-by-step explanation:

You want the equations for the inequalities shown on the graph.

Line A

The downward sloping dashed line crosses the y-axis at y=3. It has a "rise" of -2 units for each 1 unit to the right. Its slope is rise/run = -2/1 = -2.

The equation for this boundary line can be written ...

  y = -2x +3

The graph is shaded above this line, which is not included in the solution. The inequality graphed is ...

  y > -2x +3

Line B

The upward sloping solid line crosses the y-axis at y=0 and has a rise of 1 for each run of 1 unit to the right. Its slope is 1/1 = 1, and its y-intercept is 0.

The equation for the boundary line can be written ...

  y = 1x +0

The graph is shaded below the solid boundary line, so the boundary is included in the solution. The inequality graphed is ...

  y ≤ x

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