what's 1/4 + x = 3? show your work
Answers
Answer:
all work is pictured and shown
Answer:
x = [tex]\displaystyle\frac{11}{4}[/tex] or 2 [tex]\displaystyle\frac{3}{4}[/tex]
Step-by-step explanation:
1. Subtract both sides of the equation by [tex]\displaystyle\frac{1}{4}[/tex].
[tex]\displaystyle\frac{1}{4} - \frac{1}{4} + x = 3 - \frac{1}{4}[/tex]
x = [tex]\displaystyle\frac{11}{4}[/tex]
2. (Optional Step) Convert the improper fraction to a mixed number
x = [tex]\displaystyle\frac{11}{4}[/tex]
↓
[tex]x = 2\displaystyle\frac{3}{4}[/tex]
Related Questions
what is the answer for this question
Answers
Answer:
Symmetry
Step-by-step explanation:
Because the two sides are equally the same. Basically identical.
what is the solution of the proportion -27 = m/9
Answers
Answer:
m= -243
Step-by-step explanation:
1. inverse operations so division into multiplication: 9 x (-27)=
remember negative times positive is negative
therefore u get -243
What is the approximate circumference of the circle shown below
Answers
Answer:
A. 48.7cm
Reason:
The way to find circumference is Pi times the diameter so simply do this:
[tex]15.5 \times \pi = 48.694686[/tex]
round it and you'll get to 48.7cm
Hope it helps :)
Sorry if not :(
Answer: A. 48.7 cm
Step-by-step explanation:
The circumference of circle is given by :_
[tex]\text{Circumfernce}=\pi d[/tex] , where d= diameter of the circle .
In the given [picture , we are given that the diameter of the circle = 15.5 cm
Then, the circumference of the circle will be :-
[tex]\text{Circumfernce}=\pi (15.5)\ cm[/tex]
Substitute [tex]\pi =3.14[/tex] , we get
[tex]\text{Circumfernce}=(3.14) (15.5)\ cm[/tex]
[tex]\text{Circumfernce}=48.67\approx48.7\ cm[/tex]
Hence, the approximate circumference of the circle = 48.7 cm
Thus , the correct answer is 48.7 cm .
"twice a number plus 4 is 8"
Answers
4+4=8
Answer=2
Hope this helps:)
Answer:
2n + 4 = 8
Step by Step explanation:
"twice a number" means to multiply 2 by a number
"plus 4" is telling you to add 4 to 2n
"is 8" means equals 8
so, that means 2n + 4 = 8
I hope i helped :)
Can you explain step by step for #15 and #16 I have a test on this tomorrow
Answers
Answer:
15.
[tex]\left\{\begin{array}{l}x+y=50\\0.2x+0.1y=6\end{array}\right.[/tex]
16. 10 ml of 20% saline and 40 ml of 10% saline
Step-by-step explanation:
A chemist takes x ml of 20% saline and y ml of 10% saline. In total, he takes
x + y ml that is 50 ml, so
[tex]x + y = 50.[/tex]
There are [tex]0.2x[/tex] ml of salt in x ml of 20% saline and [tex]0.1y[/tex] ml of salt in 10% saline. There are [tex]0.12\cdot 50=6[/tex] ml of salt in 50 ml of 12% saline. Thus,
[tex]0.2x+0.1y=6[/tex]
15. We get the system of two equations:
[tex]\left\{\begin{array}{l}x+y=50\\0.2x+0.1y=6\end{array}\right.[/tex]
16. Solve this system. From the first equation:
[tex]x=50-y[/tex]
Substitute it into the second equation:
[tex]0.2(50-y)+0.1y=6\\ \\10-0.2y+0.1y=6\\ \\-0.1y=6-10\\ \\-0.1y=-4\\ \\y=40\\ \\x=50-y=50-40=10[/tex]
Linda entered an elevator on floor 9. She rode down 8 floors. Then she rode up 11 floors and got off. What floor was she on when she left the elevator?
Answers
so she started on 9 then she went down 8 so 9 - 8 = 1. then she went up 11 floors.so 1 + 11= 12. that's your answer. 12
3/4x-5/6=2/3x how to solve?
Answers
Answer:
The answer is 10.
Step-by-step explanation:
Multiply both sides of the equation by 12.
12( 3/4x - 5/6) = 12 times 2/3x.
Distribute 12 through the parenthesis.
12 times 3/4x - 12 times 5/6 = 12 times 2/3x.
Reduce the numbers with greatest common divisor 3.
12 times 3/4x - 12 times 5/6 = 4 times 2x.
Reduce the numbers with greatest common divisor 4.
3 times 3x - 12 times 5/6 = 4 times 2x.
Reduce the numbers with greatest common divisor 6.
3 times 3x - 2 times 5 = 4 times 2x.
Calculate the product, 4 times 2x.
3 times 3x - 2 times 5 = 8x.
Calculate the product 3 times 3x.
9x - 2 times 5 = 8x.
Multiply the numbers - 2 times 5.
9x -10 = 8x.
Move the constant to the right by adding its opposite to both sides.
9x - 10 + 10 = 8x + 10.
Eliminate the opposites, -10 + 10.
9x = 8x + 10.
Move the variable to the left by adding its opposite to both sides.
9x -8x = 8x -8x + 10.
Now eliminate the opposites
9x - 8x = 10.
Collect the like terms by subtracting their coefficients.
(9-8)x
Subtract the numbers.
1x.
When the term has a coefficient of 1, it doesn't have to be written, so it's basically x.
Then, x will equal to 10!
1-2+3-4+5-6+..+99-100.
Answers
So you want to pair them up
(1-2)+(3-4)+(5-6)..+(99-100)
And write the answer for each pair
(-1)+(-1)+(-1)..+(-1)
When looking at this you can see that each pair equals -1
So you divide 100 by 2 and multiply that by the -1
100/2=50
50*-1=-50
Answer is 50
You would use the same method if you were going up to a number like a 500
The answer would be -250
Two dams, when opened, release water at different rates. The following functions represent the amounts of water the dams release over t minutes:
Dam A f(t) = 5t – 7t – 1
Dam B g(t) = 3t 2 + 4t + 9
Which function represents the difference in the amounts of water released, h(t) = f(t) – g(t)?
Options:
h(t) = 3t 2 – 5t + 11t + 10
h(t) = 2t 2 – 11t – 10
h(t) = 5t – 3t 2 – 3t + 8
h(t) = 5t – 3t 2 – 11t – 10
Answers
Answer:
Step-by-step explanation:
h(t) = 2t 2 – 11t – 10 is the answer
The value of h(t) is h(t) = 2t^2 – 11t – 10.
To add or subtract functions, just add or subtract the values at each point where it makes sense.
How to find h(t) = f(t) – g(t)?
Two dams, when opened, release water at different rates. The following functions represent the amounts of water the dams release over t minutes:
Given : Dam A f(t) = 5t^2 – 7t – 1
Dam B : g(t) = 3t ^2 + 4t + 9.
Then f(t) – g(t) = (5t^2-7t-1) -(3t^2+4t+9)
=> 2t^2 – 11t – 10.
Thus, h(t) = 2t^2 – 11t – 10.
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How are integers and their opposites related
Answers
Answer: Whole numbers less than zero are called negative integers. The integer zero is neither positive nor negative, and has no sign. Two integers are opposites if they are each the same distance away from zero, but on opposite sides of the number line. Positive integers can be written with or without a sign.
Step-by-step explanation:
What is an equation of the line that passes
thrcugh the point (-2,5) and is parallel to the
line x - 2y = 6?
Answers
So you have y-y1=m(x-x1) and you are told that the slope has to be parallel to the line x-2y=6
1.) solve x-2y=6 for y
x-2y=6
Subtract x from both sides to get
-2y=6-x
Divide each side by -2 to get
y=-3-(x/2)
Now the slope for this equation is -1/2 and the line has to be parallel to this equation. Therefore the slope of the line that is parallel to this equation is going to be -1/2.
Now You have to use the point (2,-5) as your x1 and y1 and the slope that is parallel to the line x-2y=6, which is -1/2
y-(-5)=-1/2[x-(-2)]
Simplifying this you get
y+5=-1/2(x+2)
Above is how you write the equation in point slope form.
Now if it is asking you for slope-intercept form all you do is distribute -1/2 and subtract 5
y+5=-1/2(x+2)
y+5=-1x/2-1
Subtracting 5 from both sides gives you
y=-x/2 +4. Hope this helps. Let me know if you have questions
Which algebraic expression is a trinomial?
Answers
Answer:
A trinomial is a mathematic expression which includes 3 terms. An example would be 5 + 2 - 6. Hope this helps!
Marcus is 5 19/24 feet tall. Ben is 5 9/16 feet tall. Which of the two boys is taller?
Answers
well, Marcus and Ben are both 5 feet tall and a little bit more, Marcus is 19/24 more and Ben is 9/16 more, so the 5's in the fraction are the same, so which one is larger, 19/24 or 9/16?
we can simply put both fractions with the same denominator, by multiplying one by the other's denominator, so let's proceed,
[tex]\bf \stackrel{\textit{\large Marcus is taller}}{5~feet + \left( \cfrac{19}{24}\cdot \cfrac{16}{16}\implies \boxed{\cfrac{304}{384}} \right)}\qquad \qquad \qquad \stackrel{\textit{\large Ben}}{5~feet + \left( \cfrac{9}{16}\cdot \cfrac{24}{24}\implies \boxed{\cfrac{216}{384}} \right)}[/tex]
(Apex Question, Help?)
Which polynomial represents the difference below
2x^2+7x+6
-
(3x^2-x)
A. -x^2+6x+6
B. 2x^2+4x+6
C. 2x^2+5x+6
D. -x^2+8x+6
Answers
The required difference between polynomial 2x^2+7x+6-(3x^2-x) is,
-x^2+8x+6.
To simplify 2x^2+7x+6-(3x^2-x)
Polynomial is defined as the sum of more than one variable in terms of their power.
Here,
[tex]=2x^2+7x+6-(3x^2-x)\\=2x^2-3x^2+7x+x+6\\=-x^2+8x+6[/tex]
Thus, the required difference between polynomial 2x^2+7x+6-(3x^2-x) is, -x^2+8x+6.
Learn more about polynomial here:
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A bedroom is shaped like a rectangular prism. The floor has a length of 4.57 meters and a width of 4.04 meters. The height of the room is 2.3 meters
Answers
Answer:42.46444
Step-by-step explanation: 4.57×4.04x2.3
I think 42.46444 is the answer
The percentage uncertainty for each measurement, sum them, and apply this to the area, resulting in an uncertainty of approximately 0.0350 m².
To calculate the area of a rectangular room, you multiply the length by the width. In this case, we have been provided with the measurements for the length (3.955 "+/-" 0.005 m) and the width (3.050 "+/-" 0.005 m). Multiplying these measurements gives us the area of the room, albeit with some uncertainty due to measurement errors.
First, calculate the area using nominal values:
Area = Length x Width = 3.955 m x 3.050 m = 12.07275 m²
To compute the uncertainty in the area, apply the rule for the multiplication of quantities with uncertainties:
The percentage uncertainty for both the length and the width is:
Length: 0.005 / 3.955 = 0.001264 (about 0.1264%)
Width: 0.005 / 3.050 = 0.001639 (about 0.1639%)
Add the percentage uncertainties:
Total percentage uncertainty = 0.1264% + 0.1639% = 0.2903%
Apply this to the area:
Uncertainty in area = 0.2903% of 12.07275 m² ≈ 0.0350 m²
Therefore, the area of the room with its uncertainty is:
12.07275 m² "+/-" 0.0350 m² (approximately, we could round the nominal area to 12.073 m² and the uncertainty to 0.035 m² due to significant figures)
Solve for x.
12x + 14
1 + 5x
76
Answers
Answer:
12x +14
1.) divide both sides but 12 to get the variable alone
12x becomes just the variable x
14 is now 1.16 with the 6 having a line above it showing its repeating.
x = 1.16 repeated
4.5+1.5x=18-3x
a)1.5 b)3 C)6 D)9
Answers
Answer:
b) 3
Step-by-step explanation:
4.5+1.5x=18-3x
1) Subtract 4.5 from both sides:
1.5x=13.5-3x
2) Add 3x to both sides:
4.5x=13.5
3) Divide both sides by 4.5:
x=3
What is the answer to use an integer to describe sea level
Answers
Answer:
an integer is any whole number
if it is 5 below sea level then it is -5
Step-by-step explanation:
think of sea level like 0
Simplify each expression
Keep in mind you are NOT solving for the letters!!!
Please answer both of these questions (problems attached)
I’m really confused haha please help explain and answer (there are two)
Answers
Answer:
-5n-172b+56Step-by-step explanation:
Q: -(5n-1)-2-5n+1-2-5n-1Q: -8b+8 (10b+7)-8b+80b+5672b+56If AC = 18 and CD = 5, AD = [?]
8
Enter
Answers
-valentina|3
The length of segment AD is found by subtracting the length of CD from that of AC, which gives AD = 18 - 5 = 13.
Explanation:In this problem, you are given the lengths of segments AC and CD. The question is asking you to find the length of segment AD. This looks like a problem of segment addition in geometry. Segment addition postulate states that if a point B lies on a line segment AC, then the whole length of the segment AC equals the addition of AB + BC. In this case, however, we are given that the whole length AC equals 18, and a part of it, CD equals 5. To find the length of the unknown segment AD, we now need to subtract CD from AC. Therefore, using the segment addition postulate, we can solve this problem as follows:
AD = AC - CD
AD = 18 - 5
AD = 13
So, the length of segment AD equals 13.
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Help with number 16 (15 points!)
Answers
Answer:
-5≥x≤-1
Step-by-step explanation:
comment if you would like an explanation for this.
Solve -3 1/2 = 1/2x + 1/2x + x
Answers
Answer:
-1.75 I apologize if that is not right but i am 99% sure
Step-by-step explanation:
When you add like terms on the right side you end up with 2x, then all you di is divide both sides by 2 and you end up with -1.75
PLEASE HELP QUICK !!!!!!Point B is in the interior of ∠AOC, m∠AOC = 108°. Find m∠AOB, if m∠AOC = 3m∠AOB.
Answers
Answer:
The measure of angle AOB is 36°
Step-by-step explanation:
- Point B is in the interior of ∠AOC
- That means angle AOB is a part of angle AOC
- Measure of angle AOC is 108°
- Measure of angle AOC is 3 times measure of angle AOB
- We need to find measure of angle AOB
* Lets solve the problem
∵ m∠ AOC = 3 m∠ AOB
∵ m∠ AOC = 108°
- Substitute m ∠AOC in the equation above
∴ 108 = 3 m∠ AOB
- Divided both sides by 3
∴ 36° = m∠ AOB
The measure of angle AOB is 36°
Answer: The measure of ∠AOB = 36°.
Step-by-step explanation:
Since we have given that
m∠AOC = 108°
and we need to find the measure of ∠AOB.
As we know that
[tex]m\angle AOC=3m\angle AOB\\\\108=3\angle AOB\\\\\dfrac{108}{3}=\angle AOB\\\\36^\circ=\angle AOB[/tex]
Hence, the measure of ∠AOB = 36°.
sam and meena share sweets in the ratio 4:5 meena gets 40 sweets wok out how many sweets sam gets
Answers
Answer:
Same gets 32 sweets.
Step-by-step explanation:
We have by proportion 4/5 = x/40 where x is the number of sweets that Sam gets.
5x = 4*40
5x = 160
x = 160/5 = 32 sweets.
gcf of 80, 16 and 96
Answers
Answer:20
Step-by-step explanation: hard to explain
Answer:
16
Step-by-step explanation:
PICTURE ATTACHED PLEASE HELP
Answers
Answer:
A.
Step-by-step explanation:
We can round off the values for estimation.
29,354 can be rounded off to 30,000, which is
[tex]3 \times 1 {0}^{4} [/tex]
Similarly, 6,156,782,221 can be rounded off to 6,000,000,000 which is
[tex]6 \times 1 {0}^{9} [/tex]
Now we divide these two terms.
[tex](6 \times 1 {0}^{9} ) \div (3 \times 1 {0}^{4} )[/tex]
[tex]6 \div 3 = 2[/tex]
so it cannot be options B or D.
[tex]1 {0}^{9} \div 1 {0}^{4} = 1 {0}^{5} [/tex]
Hence, by estimation, it is
[tex]2 \times 1 {0}^{5} [/tex]
times more.
Solve the formula C= Rd for d
Answers
Answer:
d = C/R.
Step-by-step explanation:
You Divide both sides by R:
C = Rd
C / R = Rd / R
C/R = d.
Round 725,390 to da nearest thousand
Answers
Answer:725000
Step-by-step explanation:in thousands you have 5,390. Sound you’re rounding down from the hundredth position of 390. 390 is below 500 so go down a thousand.
500 principal earning 3% compound monthly, after 10 years.
A. A bazillion dollars
B. $671,96
C. $512,64
D. $674,68
Answers
Answer:
D. $674.68
Step-by-step explanation:
We will use the well known equation for compound interest
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
Where
[tex]A[/tex] is the final total[tex]P[/tex] is the principal amount (starting total)[tex]r[/tex] is the interest rate as a decimal[tex]n[/tex] is the number of times the interest is compounded each year[tex]t[/tex] the number of yearsPlugging in what we know from the question:
[tex]A = 500(1+\frac{0.03}{12})^{12 \times 10}\\A = 500(1.34935355)\\A = 674.68[/tex]
So the answer is D.
Hope this helps!
5.43 x 10^1 In scientific notation
Answers
Answer:
Step-by-step explanation:
= 5.43 × 101
(scientific notation)
= 5.43e1
(scientific e notation)
= 54.3 × 100
(engineering notation)
(one)
= 54.3
(real number