3/4 (6x + 1) - 3x = 1/4 (2x - 1) . The purpose of this question is to solve for x.
[tex]\mathbf{x = \dfrac{-4}{13}}[/tex]
Given that:
3/4 (6x + 1) - 3x = 1/4 (2x - 1)When calculating algebraic expression, we take note of integers in bracket first, then we collect the like terms in order to find the value of x.
[tex]\mathbf{\dfrac{3}{4} (6x + 1) - 3x =\dfrac{1}{4} (2x - 1) }[/tex]
Let's multiply both sides by 4 to eliminate the fraction.
[tex]\mathbf{(\dfrac{3}{4} \times 4) (6x + 1) - 3x =(\dfrac{1}{4} \times 4 ) (2x - 1) }[/tex]
[tex]\mathbf{(3) (6x + 1) - 3x =(1 ) (2x - 1) }[/tex]
Open brackets;18x + 3 - 3x = 2x - 1
By rearrangement;18x - 3x + 3 = 2x - 1
15x + 3 = 2x - 1
Collect like terms15x - 2x = - 3 - 1
13x = - 4
Divide both sides by 13[tex]\mathbf{\dfrac{13x}{13} = \dfrac{-4}{13}}[/tex]
[tex]\mathbf{x = \dfrac{-4}{13}}[/tex]
Learn more about algebraic expressions here:
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You deposit $1,200 in a savings account that earns simple interest at a rate of 3% per year. How much interest will you have earned after 3 years? Formula I= Prt
Answer: $ 1,311.27
Step-by-step explanation:
Hope this helps!
Plz help! Is this right? Question is below!
Answer: I believe it's correct. Good Job! :D
In HIJ below, what is the value of y?
PLEASE ANSWER
Answer:
110
Step-by-step explanation:
The value of x in the given figure is y = 110. Hence option 3 is true.
Given that,
A triangle is shown in the image.
Apply the concept of the triangle that states,
The sum of two opposite interior angles in a triangle is equal to the measure of the exterior angle.
Hence we get;
y° + 20° = 130°
Subtract both sides by 20,
y = 130° - 20°°
y = 110°
Therefore, option 3 is true.
To learn more about the triangle visit;
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| 2 +r | ≥ 3 (lines are absolute value)
Answer:
r ≤ -5 and r ≥ 1
Step-by-step explanation:
The solution has two parts:
1) that derived from | 2 +r | ≥ 3 when (2 + r) is already positive. Then:
2 + r ≥ 3, or r ≥ 1
and
that derived from | 2 +r | ≥ 3 when (2 + r) is negative. If (2 + r) is negative, then
|(2 + r)| = -(2 + r) = -2 -r, which is ≥ 3. Therefore, -2 -r ≥ 3, or -r ≥ 5. To solve this for r, divide both sides by -1 and reverse the direction of the inequality sign: r ≤ -5
While performing a vertical line test on a graph, you notice that the graph intercepts the vertical line twice. Which of the following correctly interprets the result of the test?
Because the vertical line intercepted the graph more than once, the graph is of a relation, but it is not a function.
Because the vertical line intercepted the graph more than once, the graph is of a function, but it is not a relation.
Because the vertical line did intercepted the vertical line exactly twice, the graph is a function and relation.
Because the vertical line intercepted the graph exactly twice, the graph is a function.
Answer:
The correct option is;
Because the vertical line intercepted the graph more than once, the graph is of a relation, but it is not a function
Step-by-step explanation:
Given that a function maps a given value of the input variable, to the output variable, we have that a relation that has two values of the dependent variable, for a given dependent variable is not a function
Therefore, a graph in which at one given value of the input variable, x, there are two values of the output variable y is not a graph of a function
With the vertical line test, if a vertical line drawn at any suitable location on the graph, intercepts the graph at more than two points, then the relationship shown on the graph is not a function.
Answer:
a
Step-by-step explanation:
how do i simplify 6⁴ 6⁸ please help its dou today
Answer: 6^12 (or 2176782336)
When you multiply exponents with the same base, you add the exponents together. (e.g., x^m · x^n = x^m+n)
6^4 · 6^8 = 6^4+8 = 6^12
given : 2x+8=5x-13; prove x=7
Answer:
True
Step-by-step explanation:
The left side 22 is equal to the right side 22 , which means that the given statement is always true.
Step-by-step explanation:
If we want to prove that x is equal to seven, we should first solve the equation for x so:
2x + 8 = 5x - 13
We should first add 13 on both sides and subtract 2x from both sides:
2x + 8 + 13 - 2x = 5x - 13 + 13 - 2x
21 = 3x
We can then divide both sides by 3 to get:
x = 7
You are a photographer Acustomer wants you to make
a photographic display that is 4.} feet tall by 21 feet
wide. Each photograph is sa inches tall by 3 - inches
wide. The photographs are to be displayed with the
longer dimension vertical and with no overlaps.
How many photographs will fit on the display?
8
9
30
54
72
SOLVE QUESTION 3 PART A AND B !! WILL GIVE BRAINLIST ..
Answer:
28π, reasonable
Step-by-step explanation:
A. Circumference is 2πr (or dπ), so we plug in 14 for r
this leaves us with 2π14, in which the 2 and 14 can multiply, so we get 28π
B. if we plug 28π into the calculator, you'll get 87.96, so 85cm is reasonable
(9,3) (0, 12) dtermine the slope of the line
Answer:
-1
Step-by-step explanation:
(9,3) (0,12)
(x1,y1) (x2,y2)
to find the slope, use this equation:
y2-y1/x2-x1
12-3/0-9
the slope is 9/-9 = -1
(–1) + 5 – (–6) – 5 =
Answer:
The answer is 5
Answer:
The answer is 5
Step-by-step explanation:
a 95% confidence interval is found to be (24, 30). The sample standard deviation is 7.5, and the sample size is 25. If you wanted a smaller interval what could you do?
A. increase the confidence level to 99.7%.
B. increase the sample size to 36.
C. decrease the sample size to 20.
D. None of these.
Answer:B. Increase the sample size to 36
Step-by-step explanation:
First of all, the size of the sample must be greater than 30. Then the correct option is B.
What is a normal distribution?It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
A 95% confidence interval is found to be (24, 30).
The sample standard deviation is 7.5, and the sample size is 25.
First of all, the size of the sample must be greater than 30. Then we have to increase the sample size up to 36.
More about the normal distribution link is given below.
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5/16 ÷ 5/12
3 1/5 • 2 3/4
6 3/8 ÷ 2 1/4
i need all of these to be reduced to lowest term, if someone could do a step by step process that'd be great. thank you :)
Answer:
1.) 3/4
2.) 44/5 or 8 4/5
3.) 17/6 or 2 5/6
Step-by-step explanation:
1.) 5/16 ÷ 5/12
To divide a fraction by another fraction, reciprocate (put the numerator to denominator and vice versa) the divisor then change the sign to multiplication:
5/16 × 12/5
5 × 12 / 16 × 5
Cancel out 5 since both numerator and denominator has it:
12 / 16
Divide both by 4:
12 ÷ 4 / 16 ÷ 4
3/4
2.) 3 1/5 • 2 3/4
You have to convert the fractions first to improper fractions by multiplying the denominator to the whole number then adding the numerator to the product:
3 1/5 = 3×5 + 1 = 16/5
2 3/4 = 2 × 4 + 3 = 11/4
Now you can multiply the numerator to numerator then denominator to denominator:
Since 16 is a factor of 4, you can cancel it out, which leaves 4:
16 / 5 × 11/4
4 × 11 / 5 × 1
44/ 5
3.) 6 3/8 ÷ 2 1/4
Convert to improper fraction:
6 3/8 = 6× 8 + 3 = 51/8
2 1/4 = 4 × 2 + 1 = 9/4
(51 × 4)/ (9×8)
51 × 1/ 9× 2
51 / 18
Divide by 3:
17/6
A ladder is placed against a wall. The foot of the ladder is 3 feet away from the wall and the top of the ladder hits the wall 15 feet off the ground. What is the slope of the ladder?
Answer:
Slope = 15.2970585
Step-by-step explanation:
School was starting and James had $300 to spend on clothes. He bought a pair of shoes for$62.50, 3 shirts for $17.25 each, and 5 pairs of jeans at $27.75 each. How much change will James get back? *
Answer:
$47
Step-by-step explanation:
Multiply the quantities of each by the prices, then add it all together to find total spent. Subtract total spent from what he has to spend to find the change:
3 shirts x 17.25 = 51.75
5 jeans x 27.75 = 138.75
Total pent : 62.50 + 51.75 + 138.75 = $253.00
Change : 300 - 253 = $47.00
rationalise the denominator of 5√7 / √5
Rationalize the denominator of 5√7/ √5
Answer5√7 / √5
=> 5√7/√5×√5/√5
=> 5√7×5/(√5)^2
=> 5√35/5
=>√35
=> 5√7
So, the required answer is 5√7 .Can someone help me ?please
Answer:
maybe try 672cm?
Divide. Write in simplest form.
2/3 divided by 1/5
Answer:
3 1/3 or 3.3(repeated)
Step-by-step explanation:
2/3 ÷ 1/5
= 2/3 × 5
= 10/3
= 3 1/3 or 3.3(repeated)
I hope this helped!
Given f(x)=2x+3 and g(x)= -2x2 - 4x +4, find the value of f(3)
Answer:
9
Step-by-step explanation:
f(x)=2x+3
f(3) = 2(3) + 3
= 6 + 3 = 9
A patient with high blood pressure who weighs 226 pounds is put on a diet to lose 26 pounds in 3 months. The patient loses 8 3 4 pounds the first month and 11 5 8 pounds the second month. How much weight must be lost the third month for the goal to be achieved?
Given :
A patient with high blood pressure who weighs 226 pounds is put on a diet to lose 26 pounds in 3 months. The patient loses 8 3/4 pounds the first month and 11 5/8 pounds the second month.
To Find :
How much weight must be lost the third month for the goal to be achieved.
Solution :
Let, weight lose in third month is x.
So, 8 3/4 + 11 5/8 + x = 26
[tex]\dfrac{32+3}{4}+\dfrac{88+5}{8}+x=26\\\\x = 26 - ( \dfrac{35}{4}+\dfrac{93}{8})\\\\x=5.625\ pounds[/tex]
Therefore, weight lose in third month is 5.625 pounds.
Hence, this is the required solution.
65.7 x 10^6 =
What is this answer
Answer:
65700000x
Step-by-step explanation:
thats the answer
Answer: 65700000
Step-by-step explanation:
65700000x
Which statement justifies whether or not the two quadrilaterals are congurent
Answer:
is there photo
Step-by-step explanation:
please post the photo
An advertisement reads “All Toys 35% Off.” How much money will you save if you buy a remote-control helicopter originally priced at $49?
$14.00
$17.15
$20.00
$31.85
Answer:
$17.15
Step-by-step explanation:
Answer:
17.15
Step-by-step explanation:
ZA is a supplement of 2B. ZA is a complement of LC, and m2B= 124. Thus,
m2B + m2
degrees.
Please I need some answers
Step-by-step explanation:
1)4+9 = 13
2)9+16 = 25
3)4+16 = 18
4)9+25 = 34
Answer:
i) 13 ii) 25 iii) 20 iv) 34
Step-by-step explanation:
they are all exponents of 2 so you multiply each number by itself once.
i) 2x2 + 3x3
ii) 3x3 + 4x4
iii) 2x2 + 4x4
iv) 3x3 + 5x5
(next time you can use a calculator lol)
A continuous function graph shows unbroken lines or curves or part of a line or curve.
This is very true for a function that is continuous.
1.The sales tax for a $49.30 sandals with a 8.25% sales tax is $
2.The total cost of the sandals is $
Answer:
$53.36
Step-by-step explanation
why is algebra so hard
A mountain bike is priced at $413. If the sales tax is 6.5 percent, what is the cost to purchase the mountain bike? Round to the nearest cent if necessary. $26.85 $28.91 $437.78 $439.85At Appliance Market, a salesperson sells a dishwasher for $569. She gets a commission rate of 18 percent. Which expression represents how much she will receive in commission from the sale? 569 (0.18) 569 (0.72) 569 (1.18) 569 minus left-bracket (569) (0.18) right-bracket
Answer: See explanation
Step-by-step explanation:
1. Cost = $413
Sales percent = 6.5%
Cost of bike = $413 + (6.5% × $413)
= $413 + (0.065 × $413)
= $413 + $26.845
= $439.85
2. Cost of dishwasher = $569
Commission rate = 18%
The expression for the commission will be:
= 18% × $569
= 18/100 × $569
= 0.18($569)
Answer:
D
Step-by-step explanation:
Can someone help me??
Answer:
E
Step-by-step explanation:
3x is the 3 lines.
+5 is the 5 dots
= -4 is the 4 black dots