Answer:
[tex]x = 2[/tex]
Step-by-step explanation:
[tex]3\left(12x-16\right)=4\left(12-3x\right)[/tex]
First, let's solve the brackets. Use the distribution property. It simply means multiplying the value outside of the brackets to each value inside the brackets.
[tex]3\left(12x-16\right)[/tex]
[tex]=3\cdot \:12x-3\cdot \:16[/tex]
[tex]=36x-48[/tex]
[tex]4\left(12-3x\right)[/tex]
[tex]=4\cdot \:12-4\cdot \:3x[/tex]
[tex]=48-12x[/tex]
Now we've simplified the expression to:
[tex]36x-48=48-12x[/tex]
[tex]\mathrm{Add\:}48\mathrm{\:to\:both\:sides}[/tex]
[tex]36x-48+48=48-12x+48[/tex]
[tex]36x=-12x+96[/tex]
[tex]\mathrm{Add\:}12x\mathrm{\:to\:both\:sides}[/tex]
[tex]36x+12x=-12x+96+12x[/tex]
[tex]48x=96[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}48[/tex]
[tex]\frac{48x}{48}=\frac{96}{48}[/tex]
[tex]\bold{x=2}[/tex]
Therefore, the answer is [tex]x = 2[/tex]
The solution of the given equation [tex]0. 3(12x - 16) = 0. 4(12 - 3x)[/tex] is [tex]x=2[/tex].
Given equation,[tex]0. 3(12x - 16) = 0. 4(12 - 3x)[/tex]
Use the simple rules of algebra like the BODMAS rule to get the equivalent expression for the given equation.
Simplified expression:Firstly, open the brackets and then multiply the coefficients. In the next step arrange the terms to get the simplified solution.
On Solving the brackets, we get
[tex]3.6x-4.8=4.8-1.2x\\[/tex]
[tex]3.6 \ x+1.2 \ x=4.8+4.8[/tex]
[tex]4.8 \ x=9.6 \\x=\dfrac{9.6}{4.8} \\[/tex]
[tex]\ x= 2[/tex]
Hence, the solution of the given equation is [tex]x=2[/tex].
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1. 18 is 30% off what number
2. 10 is 25% of _______
3. 54 is 9% of _______
4. 45 is 75% of _______
which expression shows the correct way of solve for the length of GH
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer:
A
Step-by-step explanation:
For every additional goodie bag, you're adding the original number to itself and so on...
Example:
1 Goodie bag = Candy: 2 Toys: 3
2 Goodie bags = Candy: 4 Toys: 6
3 Goodie bag = Candy: 6 Toys: 9
The first 5 terms of a quadratic sequence are
-1, 5, 15, 29,47
Find the nth term of this sequence.
Step-by-step explanation:
an = 2n^2 - 3 · Anonymous. -1, 5, 15, 29, 47, ... an = 2 n^2 - 3.
The required nth term will be 2n² - 3 in the given quadratic sequence.
What are the sequences?Sequences are defined as an arrangement of numbers that is in a particular order.
The first 5 terms of a quadratic sequence are following as:
-1, 5, 15, 29, 47,
We have to determine the nth term of the given sequence.
As per the given question, we have
-1, 5, 15, 29, 47,
We can rewrite the above numbers in the sequence as
first term = -1 = 2(1)²-3,
second term = 5 = 2(2)²-3,
3d term = 15 = 2(3)²-3,
4th term = 29 = 2(4)²-3,
5th term = 47 = 2(5)²-3
Similarly, nth term = 2n² - 3
Therefore, the required nth term will be 2n² - 3 in the given quadratic sequence.
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Trisha is saving $25 a week to go on a vacation. She determines that she will need $350 for the vacation,but she also wants to have over $100 left in her bank account after the trip. How many weeks should Trisha save?
solve one step equation
-8 + x = 10
Answer:
x=18
Step-by-step explanation:
10-(-8)=18
solve: -4(-6x-3)+4x=3
Answer:
x=-9/28
Step-by-step explanation:
-4(-6x-3)+4x=3
24x+12+4x=3
28x+12=3
28x=-9
x=-9/28
Answer:
x = -9/28
Step-by-step explanation:
-4(-6x - 3) + 4x = 3=> 24x + 12 + 4x = 3=> 28x + 12 = 3=> 28x = 3 - 12=> 28x = -9=> x = -9/28Therefore, the solution is 'x = -9/28'.
Hoped this helped.
How to solve y=4x+1 y=- x=-2
Pls help im am struggling i will give brainliest !!!!!!!!!
They are extremely similar but a(x) has a greater y-intercept!
If you look at the y axis, a(x) simply intercept it higher than b(x)
Hope this helps!
Answer:
a(x)
because the greater is a(x)
5(2x-2)=8x: what is the value of x?
Answer:
5
Step-by-step explanation:
First, you multiply the 5 by 2x to get 10x, then multiply the 5 by -2 to get -10. After that, you should get:
10x-10=8x
And here’s how you find x:
10x-10=8x
-10x -10x
-10x=-2x
/-2x /-2x
x=5
What is the percent of change from 90 to 18?
I think it decreases 5%
Answer:
80%
Step-by-step explanation:
Nine would equal ten percent, so we double that to get twenty percent, so 18 is twenty percent. Therefore we can determine that it is a 80% decrease.
Lorinda can walk 1.8 miles in 30 minutes.
Which proportion can be used to find how many miles she can walk in 45 minutes?
Answer:
B. (1.8)/(30) = (x)/(45)
my Christmas present to you
Answer:
thankss
Step-by-step explanation:
The diameter of a circle is 14 in. Find its area in terms of
π
π.
Answer:
49π in²
Step-by-step explanation:
Step 1: Find the radius.
To find radius given diameter, just divide the diameter by 2: [tex]\frac{14}{2}[/tex] 14/2 = 7, so the radius is 7.Step 2: Apply area of circle formula.
The formula to find the area of a circle is πr², where r = radius.Now, plug in the value of r: π(11)².Step 3: Simplify.
π(11)²π(121)121πSince we're finding the area in terms of pi, we don't have to multiply 121 by pi, so the answer is 49π in².
In your own words, describe how to find the GCF for a set of numbers. Use the numbers 24 and 32 as an example. (PLS HELP ILL GIVE 100 points and brainlest also no links please, thanks)
Answer:
8Step-by-step explanation:
You need to factorize each number in the set:
24 = 2*2*2*332 = 2*2*2*2*2Common factors of both numbers are:
2*2*2 = 8GCF(24, 32) = 8
An alternating current i in amperes in a certain circuit can be found after t seconds using i= 3 (sin 150)t , where 150 is a degree measure. Rewrite the formula in terms of sum of two angle measures.
Group of answer choices
a 3[sin (130 + 15)] t
b 3[sin (45 + 45)] t
c 3[sin (180 - 45)] t
d 3[sin (90 + 60)] t
The formula in terms of sum of two angle measures is c 3[sin(90 + 60)]t
Since the alternating current i in amperes after t seconds is i = 3(sin150)t.
We want to write 150 as the sum of two angles measures.
So, 150 = 90 + 60.
So, the current i = 3(sin150)t
i = 3[sin(90 + 60)]t
So, the formula in terms of sum of two angle measures is c 3[sin(90 + 60)]t
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Lillian read 43 pages in 1 1/3 hours. At what rate, in pages per hour, did she read?
Answer:
hi
Step-by-step explanation:
Answer:
She reads one page in 1.40
TACOS Orlando spent $18 at a taco truck. He ordered 4 tacos. Write and solve an equation to
find the cost of each taco.
Answer:
$4.5 for one taco
Step-by-step explanation:
18 divided by 4
The division is a process of splitting a specific amount into equal parts.
The equation to find the cost of each taco truck is 4x = 18.
The cost of each taco truck is $4.5.
What is division?The division is a process of splitting a specific amount into equal parts.
Example:
5 apples cost $60.
Cost of each apple = 60/5 = $12.
We have,
Total amount spend = $18
Number of taco trucks where $18 was spent = 4
Let the cost of each taco truck = x
The equation to find the cost of each taco truck can be written as:
4x = 18
We need to find x.
x = 18/4
x = $4.5
Thus the cost of each taco truck is $4.5.
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Help: Justify why one relation is a function and why the other is not. Relation 1:
(1,2) (2,4) (3,6) (4,8)
Relation 2: (1, 3), (4, 2), (7, 1), (4,
Relation 1 is a function because we don't have any repeated x values. Each input goes to exactly one output.
On the other hand, relation 2 is not a function because x = 4 repeats itself. The input x = 4 leads to more than one output.
plsssssssss answer it
Answer:
Answer is -7
Step-by-step explanation:
coz if -2 equal only
- answer so answer is
-7
Shira’s Shoes sold 875,000 pairs of sandals in June, which was 70% of the total number of shoes sold. How many shoes did the company sell in June? Analyze Emily’s calculations. What error did she make? StartFraction part Over whole EndFraction = StartFraction 70 times 8,750 Over 100 times 8,750 EndFraction = StartFraction 612,500 Over 875,000 EndFraction.
Answer:
1,250,000
Step-by-step explanation:
875,000 sandals account for 70% of the total pairs sold.
875,000/7 = 125,000
125,000 accounts for 10%.
125,000 * 10 = 1,250,000.
1,250,000 accounts for 100%.
The company sells pairs of shoes in June is 612,500
In Emily's calculation the error she makes in the second last steps she forgets to write the term 70.
Given that,
Shiras Shoes sold 875,000 pairs of sandals in June, which was 70% of the total number of shoes sold.
We have to determine,
How many shoes did the company sell in June? Analyze Emily's calculations. What error did she make?
According to the question,
Shiras Shoes sold 875,000 pairs of sandals in June, which was 70% of the total number of shoes sold.
Then,
The shoes did the company sell in June is,
[tex]= \dfrac{70} {100}\times 875,000\\\\=8750 \times 70 \\\\= 612,500[/tex]
Hence, The company's sells pair of shoes in June is 612,500.
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2.
If you were to flip a coin 20 times, what is the probability
you would get at most 13 heads?
a) .9423
b) .1316
c) .0577
d) .0739
Answer:
A) .9423
Step-by-step explanation:
The chance of getting at most 13 heads is 0.9423
Jodie made a New Year's resolution to learn how to play the violin. She bought an
Introduction to Violin class pack from the Noble Notes music shop, which covers the cost of
12 violin lessons. She also paid $25 to rent a violin. In all, Jodie paid $385. How much does
each violin lesson cost?
Answer:
$30
Step-by-step explanation:
If x is the cost of a lesson, the total cost of Jodie's purchase is ...
cost of lessons + rental cost = total cost
12x + 25 = 385
12x = 360 . . . . . . . subtract 25
x = 30 . . . . . . . . . . divide by 12
Each violin lesson costs $30.
Order the expressions
Answer:
1. 3^4 x 3^3 < 3^12
2. 3^3 x 4^3 < 12^4
3. 3^4 x 4^3 > 12^3
Write the equation of the line in fully simplifipe-intercept form.
12
11
10
9
8
7
6
5
4
3
2
1
-12-11-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
1 2 3 4 7 8 9 10 11 12
-2
-3
-4
-5
-6
-7
-O
-9
-10
-11
-12
Answer: Y = Z!
Step-by-step explanation: Hopes This Helps!
explain why 256 + 4 is equivalent to (200 + 4) + (40+4) + (164)
The expression 256 + 4 is equivalent to (200 + 4) + (40+4) + (16+4) according to distributive and commutative property of addition.
Given the expression 256 + 4. This can be solved using the partial sum expressed as:
256 + 4
256 + 4
= (200 + 40 + 16) + 4
According to the commutative property, A+B = B+A
The arrangement does not affect the result. Hence;
(200 + 40 + 16) + 4 = 4 + (200 + 40 + 16)Using the distributive law;
4 +(200 + 40 + 16) = (200 + 4) + (40 + 4) + (16 + 4)
Hence the expression 256 + 4 is equivalent to (200 + 4) + (40+4) + (16+4) according to distributive and commutative property of addition.
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helppp please needed before tomorrow!!!!!!!!!!
Answer:
The function is 200+50t (t= # of months)
Step-by-step explanation:
The best way to do this is to look at the question, and see no matter what, we have to pay 200 dollars to start. After which, they charge 50 bucks a month. Knowing this, we can make a function using f(x). Let C(t)= cost. Included is that graph. So for these questions, we need to see that there is an independent and a dependent variable, and we need to see that cost is affected by time. Hope this helps.
undefined slope through (74, 25)
slope-intercept form:
y=25
piont-slope form:
y-25 =0×(x-74)
The formula is:
y-y1=m9(x-x1)
is this correct ? if not what’s the correct answer?
Answer:
correct
Step-by-step explanation:
Corresponding vertices are listed in the same order. In BCDE, segment DE is listed last. In OPQR, the segment listed last is QR. If the figures are congruent, then ...
DE ≅ QR
Please help me solve this problem ASAP