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Related Questions
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.
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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]________________________________________________________
1. A straight fence is constructed from posts 6 inches wide and separated by lengths of chain 5 feet long. A certain fence begins and ends with a post. If there are 7 posts, what is the total length of the fence?
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Answer:
72
Step-by-step explanation:
First, we will multiply the number of posts (7) by the posts' width (6) to get 42.
Since there is a chain between each post, there are 6 chains.
Multiplying the number of chains (6) by the chains' length (5), we get 30.
The question asks us to find the total length of the fence, so we add 42 and 30 and get 72.
Hope this helps!
(part 2 of my request, check my profile questions to see more thx! <3)
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Answer:
Time +1, Temp +2
Students +5, Magazines +50
Trees +5, Apples +100
Check that 12g is equivalent to 48%.
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Answer:
See answers in the picture below.
Step-by-step explanation:
At a school cafeteria, a staff person surveyed the food preferences of 35 students. For every five students, two said they liked liked heathy food. How many students preferred heathy foods.
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Answer: 14 students.
Step-by-step explanation:
Which net represents the three-dimensional figure shown on the right? Will give brainliest!
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Answer:
Looks like the top left
Answer:
It's the 1st one from the left!
Step-by-step explanation:
Heloo need help on mathe ples
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Answer:
add all the sides
Step-by-step explanation:
the first shape's area is 3.8 x 4 = 15.2
the second is 13.05 x 3.6 = 46.98
since originally it's one shape, add them together. the area is 62.18 ft^2.
Is the relationship between the distance traveled and the time shown in the graph proportional?
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Answer:
NO
Step-by-step explanation:
it's starts at the origin but is not a straight line.
what is the answer for 5/8x + 4 = 3/8x + 12
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Answer:
x=32
Step-by-step explanation:
Answer:
x = 32
Step-by-step explanation:
another math question because i do not understand math at all
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Answer:
8/15
Step-by-step explanation:
There is absolute value, so the a and b become positives.
But there is a negative on the outside, meaning - (a+b)
So:
-1 2/3 - 1
______
2 - (-3)
Then..
-2 2/3
______
5
You can convert each number to a complete fraction and use keep change flip.
2 2/3 = 8/3 and 5 = 15/3
8/3 divided by 15/3 is..
8 x 3
_. _
3. 15
You can cancel out the 3's and then multiple 8/1 x 1/15
That equals 8/15, since you can't simplify it anymore.
A chef made 150 cups of chili and sold 60% of it. A serving size of the chili is 1 2/3 cups. How many servings of the chili were sold.
(Unit: expressions & equations)
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150× 60% ÷ 1⅔
150×60/100 ÷ 5/3
15 × 6 ×3/5
3 × 18
54
54 servings of the chili were sold.
The number of cups of chili that he sold will be will be 90 cups. Then the number of servings of the chili sold will be 54.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
A chef made 150 cups of chili and sold 60% of it. Then the number of cups of chili that he sold will be calculated as,
⇒ 60% of 150
⇒ 0.60 x 150
⇒ 90 cups
The serving size of the chili is 1 ²/₃ cups.
Convert the mixed fraction number into a fraction number, then we have
1 ²/₃ cups = 1 + 2/3
1 ²/₃ cups = 5/3 cups
Then the number of servings of the chili sold will be calculated as,
⇒ 90 / (5/3)
⇒ 90 x (3 / 5)
⇒ 18 x 3
⇒ 54
The number of cups of chili that he sold will be will be 90 cups. Then the number of servings of the chili sold will be 54.
More about the percentage link is given below.
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Solve the equation. What is X?
6 ( x − 2 ) = −18
(It is NOT -5, 5, -6, 6 I kept on getting that as the answer)
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[tex]6(x-2)=-18[/tex]
Distribute:
[tex](6)(x)+(6)(-2)=-18[/tex]
[tex]6x-12=-18[/tex]
Add 12 to both sides:
[tex]6x-12+12=-18+12[/tex]
[tex]6x=-6[/tex]
Divide both sides by 6:
[tex]\dfrac{6x}{6} =\dfrac{-6}{6}[/tex]
[tex]\fbox{x = -1}[/tex]
Caleb earns $_____ per hour_______ than Hassan.
^
more or less
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Answer:Caleb earns $24 per hour more than Hassan
Step-by-step explanation:
819.40/34=24.08 rounded to 24
Hassan makes 21.5 per hour
Answer:
Caleb earns $2.6 per hour more than Hassan.
Step-by-step explanation:
eg:
Hassan: $21.5 = 1hr
Caleb: $819.40 = 34hr
819.40 ÷ 34 = $24.1 (earned by Caleb per hour)
$24.1 - $21.5 = $2.6 (more than Hassan)
Which points have a distance of 6 units between them?
Select all that apply.
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Answer: The answers are A, B, C.
Step-by-step explanation:
Prentice Hall Mathematics Course 1 Chapter 2 page. 77
------------------------------------------------
a. COOKING Q: The largest pan of lasagna weighed 3477 pounds. The length of the pan was ten times its width. Write an algebraic expression for the length of the pan of lasagna in terms of its width W.
b. The lasagna measured 7 feet wide. Evaluate the expression to find the length of the pan of lasagna
----------------------------------------------------------------------------------
Please answer this question quick!!
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Answer:
sorry I have no clue I don't like mathe either the half of the reason I can't answer it
The expression of length in terms of width is L = 10W and the length of the pan when the width is 7 feet will be 70 feet.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
Suppose, the length and width of the pan are L and W corresponding.
As per the given,
(a)
The length of the pan was ten times its width.
L = 10W
The above expression is the length of the pan in terms of width.
(b)
The lasagna measured 7 feet wide.
L = 10 x 7 = 70 feet
Hence "According to the formula L = 10W, the length of the pan will be 70 feet when the width is 7 feet.".
To learn more about expression,
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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.
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Answer:
Step-by-step explanation: try 14
Geometry
Answer with a proper explanation
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Answer:
We know that nonagon have total of 1 260 angles.
1 260 = 8x + 4x
1 260 = 12x
x = 105
Therefore, the value of x is 105.
8 angles have 105 degrees and the other one is 420.
Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-In what ways was Brian struggling for survival in the first two chapters (both physically and emotionally)? Use RACE to respond. Book is HATCHET.
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Answer:he used the hatchet by making a fire
Step-by-step explanation:
Question
Solve the equation.
−8(y+9)=−40
y=?
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Answer:
y+9= -40/-8
y+9= 5
y=5-9
y= -4
identify the slope and y-intercept of the function y = -2x+4
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Answer:
Slope = -2
y-intercept = (0, 4)
Step-by-step explanation:
The equation is written in slope-intercept form, y = mx + b, where "m = slope" and "b = y-intercept". Thus, we have to identify what part of the equation is part of each element in slope-intercept form:
Slope-intercept form
y = mx + b
Equation:
y = -2x + 4
m = -2
b = 4
Thus, the slope is -2 and the y-intercept is (0, 4)
Jess lists four factor pairs of 72 and as 2 x 36, 4 x 18, 6 x 12 and 8 x 9. Which factor is a prime number? ( I NEED AN ANSWER ASAP!)
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True or false, the fractions ¾ and 6/8 are equivalent.
A. True
B. False
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Answer: A. True
Step-by-step explanation:
4/5% of 30: Estimate
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Answer:0.24
Step-by-step explanation:
Answer:
0.24
Step-by-step explanation:
⅘% of 30
⅘ = 0.8
0.8% of 30
eg: 0.8 = x 30 = y
[tex]\frac{x*y}{100}[/tex] (this is the formula for calculating the percentage of a number)
[tex]\frac{0.8*30}{100}[/tex] = 0.24
Help again plessssssssss
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Answer:
Step-by-step explanation:
20 + 30 + 30 then 792 + 260 get your answer for both and add the answers together
Answer:
Step-by-step explanation:
the answer is 23.4 ?
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.
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The number of hours that Sam’s Soups is open on Sunday will be 14 hours.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Sam's Soups is open 6 days per week, 76 hours altogether. Its hours are similar consistently, besides on Saturday and Sunday. On those days, it is open 2 hours longer.
Let 'x' be the number of hours spent on Saturday and Sunday. Then the equation is given as,
x + x + (x - 2) + (x - 2) + (x - 2) + (x - 2) = 76
Simplify the equation, then we have
6x - 8 = 76
6x = 84
x = 14 horus
The number of hours that Sam’s Soups is open on Sunday will be 14 hours.
More about the solution of the equation link is given below.
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how many least common multiples of 10 and 12 are there one or infinitely many- 20 points to answer quickly
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Answer:
Step-by-step explanation:
Least Common Multiple of 10 and 12 = 60 Step 1: Find the prime factorization of 10 10 = 2 x 5 Step 2: Find the prime factorization of 12.
BRAINLIEST Which net represents the three-dimensional figure shown on the right?
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The formula for c for the current figure is 2(base * height) + s1 + s2 + s3(length)
But the formula I use is a*b + 3 * b * height, where a and B are sides
The net represents the three-dimensional figure is
2(1/2 x 3 x 4) + 4 x 2 + 3 x 2 + 5 x 2
The correct option is C.
What is Expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:
Expression: (Math Operator, Number/Variable, Math Operator)
We know that the formula for calculating the Area of prism is
= 2 ( base x height) + (s1 + s2 + s3) length
But according to the given figure we have to
= length x width + 3 x width x height
= ab + 3bh
Learn more about Expression here:
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Put an Actual reasonable answer for the question please.
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Answer:
D (Alicia did 5 more jumping jacks per minute than Melissa.)
Step-by-step explanation:
Alicia's rate is 30 jumping jacks per minute. You can use the formula m=(y2-y1)/(x2-x1) to find the slope/rate. The two points in the table you can use are (1,30) and (2,60). You can plug those coordinates into the slope formula. (60-30)/(2-1)=30/1= 30 jumping jacks per minute. To find the rate of change/slope for Melissa, you can use the same formula m=(y2-y1)/(x2-x1). The two points you could plug in are (0,0), and (4,100). (100-0)/(4-0)=100/4=25. Melissa does 25 jumping jacks per minute.
`d=3t` represents the relationship between the distance `\left(d\right)`in inches that a snail is from a certain rock and the time `(t)` in minutes.
a. What does the number `3` represent? b. How many minutes does it take the snail to get `9` inches from the rock c. How far will the snail be from the rock after `9` minutes?
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Answer:a.3 is the coefficient
b.3minutes
c.27inches
Step-by-step explanation:
a. In d=3t equation, d and t are variables. 3 is the coefficient for 't'.
b. In d=3t , d is 9inches.
so 9 = 3t
or t = 9/3 =3minutes
c. In d= 3t, t is 9minutes.
So d= 3*9 = 27inches.
Answer: b.3minutes c.27inches
Step-by-step explanation:
Write a situation that matches the diagram, or make a diagram that matches the situation.
Use the picture I posted and draw/write (clearly) the correct answer.
Thank you! This needs to be done by today and quick.
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so uh...which picture?