Please answer this question with equation will give 20 points and mark brainliest
Answers
Hello there!
Given the equation below:
[tex] \displaystyle \large{ \frac{3x + 3}{2} = 9}[/tex]
Our first step is to get rid of the denominator by multiplying the whole equation by 2.
[tex] \displaystyle \large{ \frac{3x + 3}{2} \cdot 2 = 9 \cdot 2} \\ \displaystyle \large{ 3x + 3 = 18}[/tex]
Isolate x-term - first, we subtract 3 both sides.
[tex] \displaystyle \large{3x + 3 - 3 = 18 - 3} \\ \displaystyle \large{3x= 15} \\ [/tex]
Divide both sides by 3 to leave only x-term.
[tex] \displaystyle \large{ \frac{3x}{3} = \frac{15}{3} } \\ \: \displaystyle \large{x = 5}[/tex]
Therefore, the value of x is 5.
Checking Answer
Optional Step:
First, we substitute x-value that we got in the equation.
[tex] \displaystyle \large{ \frac{3x + 3}{2} = 9} \\ \displaystyle \large{ \frac{3(5)+ 3}{2} = 9}[/tex]
Evaluate the expression.
[tex] \displaystyle \large{ \frac{15 + 3}{2} = 9} \\ \displaystyle \large{ \frac{18}{2} = 9} \\ \displaystyle \large{ 9 = 9}[/tex]
Since both sides are equal. The equation is true!
Answer
Hence, x = 5.
Let me know if you have any questions!
Topic: Linear Equation
Related Questions
The area of a square poster is 31 square inches.find the length of one side of the poster. Explain
Answers
Answer:
7.75
Step-by-step explanation:
31/4= 7.75
Please please please I’m in need of help
Answers
Answer:
Exact Form:
19 /13
Decimal Form:
1. 461538
Mixed Number Form:
1. 6 /13
Step-by-step explanation:
Solve for x. Check your solution.
5x+4x=45
x=...... (simplify your answer)
Answers
Answer:
x = 5
Step-by-step explanation:
5x+4x=45
9x = 45
x = 5
Hvae a good day
The sum of 27 and -28 divided by 2.
Answers
Hey there!
The word sum usually means addition in mathematics!
27 + (-28) / 2
= 27 - 28 / 2
= -1 / 2
= -0.5
Answer: -1/2 OR -0.5 (either those should work because they are both equivalent)
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
The sum of 27 & - 28 divided by 2.[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
Okay, so first we need to frame this statement to a numerical expression. It will be :- '27 + (-28) / 2 [sum means to add the 2 numbers, i.e, 27 + (-28). Then we should divide the result by 2 according to the question given.)Now, let's solve it.[tex] \sf\frac { 27 + ( - 28 ) } { 2 } \\ [/tex]
Subtract 28 from 27 to get -1.[tex] \boxed{\boxed{ \boxed{ \bf\frac{-1}{2} = \bf- 0.5}}}[/tex]
So, the answer will be - 1/2 in its fractional form or 0.5 in its decimal form.đo nhiệt độ người ta sử dụng mạch cầu đo nhiệt độ sử dụng nhiệt điện trở Pt-100, biết các điện trở của cầu R1=R2=1 ki lô ôm.
1,vẽ sơ đồ mạch đo, tính nguồn cung cấp cho mạch cầu với dòng điện cho phép là 5 mA
2,với dải đo nhiệt độ từ 0 đến 100 độ C thì điện áp ra của cầu có giá trị bao nhiêu?
Answers
Answer:
what is this what language
Write 9 1/100 as a decimal number
Answers
Answer:
9.01
Step-by-step explanation:
9 1/100 = 9 + 1/100
1/100= 1 divded by 100
=9+0.01=9.01
the value of 9 1/00 in decimal, is 9.01
What is Simplification?Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.
Given a number 9 1/100
in decimal, we can also write it as
9 1/100 = 9 +1/100
=> 9 1/100 = 9.01
therefore, in decimal the value of 9 1/100 is 9.01.
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Markes recipe for 24 cookies calls for 2½ cups of flour.How much flour will markes need to make 60 cookies?
Answers
Answer:
6 1/4 cups of flour
Step-by-step explanation:
24/2 = 12
2.5/2 = 1.25
12 x 5 = 60
1.25 x 5 = 6.25 cups
For every 24 cookies Markes needs 2.5 cups of flour. So, for 12 cookies he needs half of that which is 1.25 cups. 12 is a fifth of 60, so we multiply 1.25 by 5 which gives us 6.25 cups of flour. :D
which number is the exponent in 2³?
Answers
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
Which number is the exponent in 2³?[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \huge \boxed{\mathfrak{{2}^{3} }}[/tex]
In the given number (2³), the exponent will be 3.Exponents are the numbers that lie above the number to its right side. It's used to write or shorten the number to its standard form. Here, 3 acts as the cube of 2, that is, 2³ = 2 × 2 × 2 = 8. 3 is the exponent or degree of 2.ne
The lowest temperature ever recorded in a certain town was -22°F. The highest temperature ever recorded there was 139°F more than the lowest. What was the
highest temperature?
ents
The town's highest temperature was ?
Answers
Answer:
highest temperature would be
-22 + 139 = 117°F
1) Which number has the
least value?
A. 87.4
B. 7.48
C. 8.74
D. 4.78
Answers
6 The area of a square is 32.5 square inches. Which best represents the length of one side of the square? F 32.5 -16 in. 16 . 5 5 G 32.5= 1,056.25 in. H V32.5 5.7 in. 32.5 - 8.125 in.
Answers
Answer:
The answer will be 5.701
Step-by-step explanation:
Find the square root of the area of the square
The length of one side of the square is represented by H side = 5.7 in.
What is the area of a square?The area of a square can be calculated as the square of the sides of a given figure.
The area of a square = side x side
The area of a square is 32.5 square inches. thus, Which best represents the length of one side of the square
We need to Find the square root of the area of the square
The area of a square = side x side
32.5 square inches = side x side
Taking square root;
side = √32.5
side = 5.701
Therefore, the length of one side of the square is represented by H side = 5.7 in.
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Identify a solution of the equation: log2x+log(x−5)=2
1. x= -4
2.x= 2
3.x= 10
4.x= 5
Answers
Answer:
3.x= 10Step-by-step explanation:
log 2x + log (x - 5) = 2log (2x(x - 5)) = 22x(x - 5) = 10²2(x² - 5x) = 100x² - 5x - 50 = 0x² + 5x - 10x - 50 = 0x(x + 5) - 10(x + 5) = 0(x - 10)(x + 5) = 0x = 10x = -5, this root is discounted as log should be positive.Correct choice is 3.
Plz I rllyneed help on this give answers!
Answers
Answer:
The answer- I believe is 16.
Step-by-step explanation:
So first let's start with the square root of 4. The square root of 4 is 2 since 2x2 is 4.
Next, 45/5 is 9.
And, 125/25 is 5.
When you add all of them-
2+9+5
you get 16
What is this answer
Answers
Answer:
Indian ocean is one of the world's oceans
6. [(32 - 8) = 4+2)
Please answer ASAP
Answers
A cell phone company charges $500 for a new phone and $60 for a monthly plan. If C (t) is a rational function that represents the average monthly cost of owning the cell phone, what is the range of the function?
Answers
The range of the function is [560, ∞]
The cost of the new phone = $500
The cost of month plan = $60
The average monthly cost of the cell phone is calculated as:
[tex]C(t) = 500 + 60t \\\\[/tex]
where:
t is the number of months of owing the phone
The range of the function is calculated as follows;
t ≥ 1
when t = 1
C(1) = 500 + 60(1) = $560
t can be any positive integer.
The range of the function = [560, ∞]
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Answer:
I think B. R: (60,560)
Step-by-step explanation:
Not 100% sure but tell me if im wrong
If
find each measure.
Answers
The morning temperature in Finland was -18.3° F. The temperature rose 23.7°F during the day before reaching its high temperature for the day What was the high temperature for the day? I need helpppppppp
Answers
Answer:
5.4 degress
Step-by-step explanation:
The starting tempereture is -18.3 deegress and the it increased by 23.7 throughout the day. so we can convert this into a expression.
-18.3+23.7 = ?
this is the same thing as 23.7-18.3.
23.7-18.3=5.4
So the answer is 5.4 degress,
hope this helps!
The temperature for the day is 5.4° F.
What is Measurement unit?
A measurement unit is a standard quality used to express a physical quantity.
Given that;
The starting temperature is -18.3 degrees and then it increased by 23.7 throughout the day.
Now, We can formulate as;
23.7 + (-18.3)
Solve as;
= 23.7 + (-18.3)
= 23.7 - 18.3
= 5.4
So, The temperature for the day is 5.4° F.
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f(x) = 1
g(x) = x - 4
Can you evaluate (gºf)(0)? Explain why or why
not.
Answers
on his fifth birthday, Pual was 42 inches tall on his seventh birthday he was 48 inches tall.
]
Answers
Answer:
On his 6th birthday, he was 45 inches tall
Step-by-step explanation:
32 is what percent of 48?
Answers
Answer:
Yeah it is 66.67 percent
Step-by-step explanation:
I don’t understand this at all
Answers
9514 1404 393
Answer:
9(x +y)
Step-by-step explanation:
You observe that both terms have a coefficient of 9. The distributive property lets you factor that out, so you can rewrite the expression as ...
9x +9y = 9(x +y)
_____
It might help to think of parentheses as a "bag." The expression 9(x+y) tells you the contents of one bag is (x+y) and you have 9 of them. You could think of x, and y as representing two different physical objects, for example, perhaps a ball and a cube.
The first expression, 9x +9y, tells you that you have 9 of each of these objects. The distributive property says this could be the result of dumping the contents of 9 bags, each containing one each of the objects. The expression 9(x+y) is the version of the expression that shows these objects as being grouped into 9 bags.
Please answer correctly and no links
Answers
Answer:
-6.825 (-2 33/40). hope this helps
Step-by-step explanation:
- Zombie
What is the inverse of f(x) = .5mx^2
Answers
Answer:
[tex]y =\sqrt{\frac{1}{.5m}x}[/tex]
Step-by-step explanation:
f(x) = .5mx^2
x = .5my^2
x/y^2 = .5m
y^2/x=1/.5m
y^2=1/.5m * x
[tex]y =\sqrt{\frac{1}{.5m}x}[/tex]
Find the 2nd term in the expansion of (a + b)^7 in simplest form
Answers
Answer:
7a^6b
Step-by-step explanation:
Using the pascal triangle to do this binomial expansion, we find out that the coefficient is 7. The a variables start at the power to which you are expanding and reduce by 1 for every consecutive term. The b variables start at the power of 0 and increase by 1 for every consecutive term. Using this information, we find out that the second term in the binomial expansion (a+b)^7 is 7a^6b
Note that the power of b in the second term is b^1 which is the same as b
Find the sum of the measures of the interior angles of
a convex polygon with 5 sides.
Answers
(5-2)180
=540*
A contractor removed 357 cubi c ya rds of earth from a building site. If the contractor’s trucks can haul 17 cubic yards per load, how many truckloads of earth were moved?
Answers
Answer:
21 loads
Step-by-step explanation:
357/17=21
is -16/-2 an integer?
Answers
Answer:
yes
Step-by-step explanation:
because -16 and -2 is a whole number. and it doesnt have neither fractions nor decimals.
hope this helps. have a good day
A town planner is building a fountain in the middle of a triangular shaped park and will place the fountain at the centroid of the triangle.
A diagram of the triangular park shown by △ABD was used to determine the location of the fountain, which will be at point G. The longest median of the triangular park, AC¯¯¯¯¯, is 150 feet.
What is the distance from the corner of the park, at point A, to the fountain?
Enter your answer in the box.
Answers
9514 1404 393
Answer:
100 ft
Step-by-step explanation:
The centroid divides each median into parts in the ratio 2 : 1. The longest part is 2/(2+1) = 2/3 of the whole length of the median.
That is, AG = 2/3AC = (2/3)(150 ft) = 100 ft.
PLEASE HELP!!!
A diagnostic test for drug use among Olympic athletes based on a blood sample was thought to be excellent. Among drug users, 98% had a positive test. Among nondrug users, 95% had a negative test. Suppose that 1% of the athletes are, indeed, drug users. What proportion of the athletes tested would have a positive test? Of those athletes whose test is positive, what proportion are really drug users?
Answers
Using conditional probability, it is found that:
5.93% of the athletes tested would have a positive test.16.53% of the athletes that test positive are drug users.What is Conditional Probability?Conditional probability is the probability of one event happening, considering a previous event. The formula is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which:
P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.For this problem, the events are given as follows:
Event A: Positive test.Event B: Drug users.For this problem, the percentages associated with a positive test are:
98% of 1%(drug users).5% of 99%(non-drug users).Hence the proportion of positive tests is given by:
P(A) = 0.98(0.01) + 0.05(0.99) = 0.0593.
5.93% of the athletes tested would have a positive test.
The proportion that both tests positive and are drug users is:
[tex]P(A \cap B) = 0.98(0.01) = 0.0098[/tex]
Hence the conditional proportion is:
P(B|A) = 0.0098/0.0593 = 0.1653.
16.53% of the athletes that test positive are drug users.
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