The value of x would be 1.
Can someone help me understand on how to simplify this ?
Answer:
So first you have to make all the denominaters (bottom #s) the same so we would get 12/20-8/20+5/20 and you would solve this to equal 9/20 and to divide it by 1/6 would equal 2 7/10.
Hope this helps! (pls read the comment for free gift cards)
Solve the system of inequalities and indicate all the integers which are in the solution set: The answer isn't an inequality like -5
Answer:
{- 4, - 3, -2, -1, 0, 1, 2, 3}Step-by-step explanation:
Solve each inequality in the system:
3 - 2a < 13 ⇒ 2a > 3 - 13 ⇒ 2a > - 10 ⇒ a > - 55a < 17 ⇒ a < 17/5 ⇒ a < 3.4The solution is:
- 5 < a < 3.4The integer solution set is:
{- 4, - 3, -2, -1, 0, 1, 2, 3}[tex]\\ \rm\rightarrowtail 3-2a<13[/tex]
[tex]\\ \rm\rightarrowtail -2a<10[/tex]
[tex]\\ \rm\rightarrowtail -a<5[/tex]
[tex]\\ \rm\rightarrowtail a>-5[/tex]
And
[tex]\\ \rm\rightarrowtail 5a<17[/tex]
[tex]\\ \rm\rightarrowtail a<17/5[/tex]
[tex]\\ \rm\rightarrowtail a<3\dfrac{2}{5}[/tex]
So
solution set
[tex]\\ \rm\rightarrowtail a\in\left(-5,3\dfrac{2}{5}\right)[/tex]
So
a={-4,-3,-2,-1,0,1,2,3}A report says that the average amount of time a 10-year-old American child spends playing outdoors per day is between 20.18 and 24.96 minutes. What is the margin of error in this report
Answer:
The study, The Nature of Americans National Report, found that more than half of adults reported spending five hours or less in nature each week, and being satisfied with this small amount of time spent outdoors.
Step-by-step explanation:
The margin of error in the report is 2.39.
What is the margin of error?The margin of error is a statistic that describes how much random sampling error there is in survey data.
Given that, the upper interval is 24.96 and the lower interval is 20.18.
The margin of error is half of the difference between the upper and the lower interval.
Therefore, the margin of error is:
Margin of error = (24.96 - 20.18)/2
= 4.78/2
= 2.39
Hence, the margin of error in the report is 2.39.
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What is the x -value of the ordered pair (0, 4)?
hey hi hello whats up can someone help me with this please??........ thank you! :)
Sure!
The hundredths place is the second in a decimal.
with rounding, if the number is greater than or equal to 5, you round up, if not, you round down.
In this case we round up because 9 is bigger than 5.
So, it becomes 6.79
Therefore your answer is B
Donnie lives 3 miles from the park . He rode his bicycle from his house to the park at a constant speed of 9 miles per hour. How long did it take Donnie to get to the park?
Answer:
20 minutes, or 1/3 hour
Step-by-step explanation:
Donnie travels at 9 miles/hr.
The relationship between speed, distance, and time is Time = Distance/Speed. [from Distance = Speed*Time]
Time to bike 3 miles at 9 miles/hr is = (3 miles)/(9 miles/hr) = (1/3) hr
It took 1/3 hour, or 20 minutes, to bike the three miles, with no stops for soda and hot dog.
probabiltity of 8 and 23
Answer:
huh
Step-by-step explanation:
CHOOSING BRAINLIEST PLEASE HELP
Answer:
The answer is the 2nd 1
Step-by-step explanation:
It's a basic graph
You fill the entire fish tank with water. Then you dump out some of the water. The volume of the water in the tank decreases by 96 cubic inches. How deep is the water now? (The height is 12 inches, the base is 48)
Answer:
1. 6/10 – 2/5 =
Ans: 2/10, which can be reduced to 1/5.
2. If a tank is 5/8 filled with solution, how much of the tank is empty?
Ans: 3/8 of the tank is empty. Since the whole tank would equal 8/8, or 1, and 5/8 of it is filled, then that
means 3/8 of it remains empty.
3. 1/2 x 3/5 x2/3 =
Ans: 6/30, which can be reduced to 1/5.
4. 5/9 ÷ 4/11 =
Ans: 55/36. You cannot reduce this fraction any further.
5. Convert 27/4 to a decimal.
Ans: 6.75. This answer is arrived at by dividing 4 into 27.
6. Convert 0.45 to a fraction.
Ans: 45/100, which can be reduced to 9/20.
7. 4.27 x 1.6 =
Ans: 6.832
8. 6.5 ÷ 0.8 =
Ans: 8.125
9. 12 + 4.52 + 245.621 =
Ans: 262.141
Step-by-step explanation:
I hope this helps
a. Convert 5x^2 + 55x + 140 from standard to vertex form
b. Describe the transformation.
Answer:
The transformation will be 5
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
5x^2 + 55x + 140 ---> required
Coefficients a=5, b=55, c=140 yield
[tex]h=\frac{-h}{2*a} =\frac{-(55)}{2*5} =\frac{-55}{10} =-5.5[/tex]
Thus, the x-coordinate of the vertex is [tex]\boxed{h = -5.5 }[/tex]
Plugging x=-5.5 into the given equation yields:
[tex]k=5*(-5.5)^{2} +55*-5.5+140=-11.25[/tex]
Thus, the y-coordinate of the vertex is [tex]\boxed{k = -11.25 }[/tex]
Altogether, the vertex of the given parabola is
[tex]\boxed{ (h,k)=(-5.5,-11.25) }[/tex]
Plugging (h,k)=(−5.5,−11.25) into the vertex formula
[tex]\boxed{ y=(x-h)^2+k }[/tex]
yields the vertex form of the parabola
[tex]\boxed{ y=(x+5.5)^2-11.25 }[/tex]
To find the vertex of a parabola in standard form, first, convert it to the vertex form y=a(x−h)2+k y = a ( x − h ) 2 + k .What is the surface area of the cube.
A. 409 cm²
B. 2400 cm²
C. 2004 cm²
D. 40 cm²
Surface area
6a^26(20)^2400(6)2400cm^2Hi, I’m doing some review and I just wanted to know if I am on the right track with PEMDAS.
Answer:
yes ur on track
Step-by-step explanation:
Find the square number
5
8
15
30
36
help me!
[tex]\frac{x}{3}+10=\frac{3x-8}{2}[/tex]
Answer:
[tex] \frac{x}{3} + 10 = \frac{3x - 8}{2} \\ \\ \frac{3x - 8}{2} - \frac{x}{3} = 10 \\ \\ taking \: lcm \\ \\ \frac{9x - 24 - 2x}{6} = 10 \\ \\ 9x - 24 - 2x = 60 \\ \\ 7x = 60 + 24 \\ \\ 7x = 84 \\ \\ x = \cancel\frac{84}{7} \\ \\\fbox{ x = 12}[/tex]
hope helpful ~
Answer:
[tex]x = 12[/tex]
Step-by-step explanation:
[tex] \frac{x + 30}{3} = \frac{3x - 8}{2} [/tex]
[tex]2x + 60 = 9x - 24[/tex]
[tex]60 + 24 = 9x - 2x[/tex]
[tex]84 = 7x[/tex]
[tex]x = 12[/tex]
I hope it will be helpful
Generate an equivalent expression for 24x+18y by factoring out the GCF
The GCF of 24x and 18y is their greatest common factor
The equivalent expression of 24x + 18y is 6(4x + 3y)
How to determine the equivalent expression?The expression is given as:
24x + 18y
Express each term as the product of 6
24x + 18y = 6 * 4x + 6 * 3y
Factor out 6 from the expression
24x + 18y = 6 (4x + 3y)
Hence, the equivalent expression of 24x + 18y is 6(4x + 3y)
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An angle measures 88° more than the measure of its complementary angle. What is the measure of each angle?
Could you guys help me with this?
Answer:
It might be a two degree angle! :)
Step-by-step explanation:
If m greater-than-or-equal-to n, which inequalities must be true? check all that apply. m 2.1 greater-than-or-equal-to n 2.1 m - (-4) greater-than-or-equal-to n -(-4) m - 3 greater-than-or-equal-to n 3 16.5 m greater-than-or-equal-to 16.5 n m greater-than-or-equal-to n one-half 6 m greater-than-or-equal-to 9 n
The true statements are m + 2.1 > n + 2.1, m - (-4) > n - (-4) and 9 + m > 6 + n
How to determine the true statements?The inequality is given as:
m > n
When the same constant k is added to both sides of the inequality, we have:
m + k > n + k
This means that the following inequality is true
m + 2.1 > n + 2.1
When the same constant k is subtracted from both sides of the inequality, we have:
m - k > n - k
This means that the following inequality is true
m - (-4) > n - (-4)
Also, if a greater constant is added to m, then the inequality still remains the same.
This means that the following inequality is true
9 + m > 6 + n
Hence, the true statements are m + 2.1 > n + 2.1, m - (-4) > n - (-4) and 9 + m > 6 + n
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Answer:
It´s actually A, B, D
Step-by-step explanation:
Two concentric circles are of radii 10 cm and 8 cm, then the length of the chord of the larger circle which touches the smaller circle is
Answer:
12 cmStep-by-step explanation:
Let O be the centre of the circle of radii 10 cm and 8 cm.
In given figure,
AP = PB and OP⊥AB
Applying Pythagoras theorem in ∆OPA, we get
↠ OA² = OP² + AP²
↠ (10)² = (8)² + AP²
↠ 100 = 64 + AP²
↠ 100 - 64 = AP²
↠ 36 = AP²
↠ √36 = AP
↠ 6 = AP
Now,
↠ AB = 2AP
↠ AB = 2(6)
↠ AB = 12 cm
Hence,
The length of the chord of the larger circle 12 cmIdentify the type of conic section that has the equation 16x^2 + 4y^2 = 16 and identify its domain and range.
16x²+ 4y² = 16 is an equation of ellipse, domain of the equation is all real numbers and the range is -2 ≤ y ≤ 2.
What is Conic Section?A conic section, conic or a quadratic curve is a curve obtained from a cone's surface intersecting a plane.
The given equation is 16x²+ 4y² = 16.
Divide both sides by 16.
x²/1 + y²/4 = 1
This is the equation of an ellipse.
It is an ellipse centered at the origin, with semi-major axis length of 2 and semi-minor axis length of 1.
Since the x² term is not negative, the domain is all real numbers.
The range of the ellipse is the range of y-values that make the equation true.
Since the y² term is not negative, the range is all real numbers as well. However, since the ellipse is centered at the origin, the range is bounded by -2 and 2, which are the y-coordinates of the endpoints of the major axis. Therefore, the range is -2 ≤ y ≤ 2.
Hence, 16x²+ 4y² = 16 is an equation of ellipse, domain of the equation is all real numbers and the range is -2 ≤ y ≤ 2.
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Answer:
ellipse; Domain: {-1≤y≤1}; Range: {-2≤y≤2}
Step-by-step explanation:
Graph the equation. An ellipse has two lines of symmetry, the x-axis, and the y-axis. The domain is the set of all real numbers with x, written as -a ≤ x ≤ a. The range is the set of all real numbers with y, written as -b ≤ y ≤ b.
solve major part of my grade <33
0 3 6 9 12 15 18
(each tick mark = +3)
When Allison calculated her mean for 5 tests she got a score of 82, however, she later realized that she had written 96 instead of 86. what is the correct mean score of the 5 test grades?
Please help me with this question .
2 ÷ 9/10 =
Answer:
20/9
Step-by-step explanation:
2/1–>20/10 x 10/9
200/90 / 10
20/9
Hope that helps. :)
[tex]2 \div \frac{9}{10} [/tex]
solution:[tex] \frac{2}{1} \div \frac{9}{10} [/tex]
[tex] = \frac{2}{1} \times \frac{10}{9} [/tex]
[tex] = \frac{2 \times 10}{1 \times 9} [/tex]
[tex] = \frac{20}{9} or2 \frac{2}{9} [/tex]
PLEASE HELP W PRECALC QUESTION
Answer: [tex]2tan(theta)[/tex]
Step-by-step explanation:
I know this is pre-calculus, but I want to let you know what this is actually used for in real calculus. This is a method of integration called "u-substitution" which tranforms the function of 'x' into a function of 'theta'. If we allow the value of 'x' to equal 2sec(theta), we can plug this into the function to get:
[tex]\sqrt{x^2-4} =\sqrt{(2sec(theta)^2-4} =\sqrt{4sec^2(theta)-4}[/tex]
Factor out a 4 to get:
[tex]\sqrt{4(sec^2(theta)-1)}[/tex]
Take the square root of 4 to get a 2 on the outside of the radical:
[tex]\sqrt{4(sec^2(theta)-1)}=2\sqrt{sec^2(theta)-1}[/tex]
Use the trig identity below to convert the secant to tangent:
[tex]tan^2(theta)+1=sec^2(theta)[/tex]
[tex]tan^2(theta)=sec^2(theta)-1[/tex]
Therefore our expression becomes:
[tex]2\sqrt{sec^2(theta)-1}=2\sqrt{tan^2(theta)}[/tex]
The square root of tangent is simply tangent:
[tex]2\sqrt{tan^2(theta)} =2tan(theta)[/tex]
HELPPPP WHATS THE AREA
Answer:
the answer is 42
Step-by-step explanation:
you multiply the sides to get the area
In a concert band, the probability that a member is in the brass section is
0.50. The probability that a member plays trombone, given that he or she is in
the brass section, is 0.24.
What is the probability that a randomly selected band member is in the brass
section and plays trombone?
• A. 0.74
•
B. 0.12
• C. 0.26
• D. 0.48
Answer:
the answer is C. 0.26
Step-by-step explanation:
Because 0.50 + 0.24 is 0.74 and I'm guessing it goes to 1.0
So you subtract 1.0 from 0.74 to get 0.26
y=3x-7
-4x+5y=20
solve algebraically
Answer:
so x=5 and y= 8
Step-by-step explanation:
[tex]y = 3x - 7 \: \\ 20 = - 4x +5y \\ 20 = - 4x + 5(3x - 7) \\ 20 = - 4x + 15x - 35 \\ 20 + 35 = 11x \\ 55 = 11x \\ x = 5 \\ now \: you \: put \: x = 5 \: into \: the first \: equation \: \\ 5 \\ y = 3(5) - 7 \\ y = 8[/tex]
you roll a standard number cube 180 times. predict how many times you will roll a 2 or a 3
Answer:
60 times.
Step-by-step explanation:
Prob( of rolling a 2) = 1/6
Prob( of rolling a 3) = 1/6
So Prob( 2 or 3) = 1/6 + 1/6 = 1/3,
So the prediction is 1/3 * 180 = 60.
In which quadrant is the point (4, -5)? II I IV III
Answer:
Quadrant IV
Step-by-step explanation:
You can easily find in which quadrant a point lies using this key :
Quadrant I = (+ , +)Quadrant II = (- , +)Quadrant III = (-, -)Quadrant IV = (+, -)We have the coordinate (4, -5)
x-coordinate is positivey-coordinate is negativeIt lies in Quadrant IVAnswer:
Quadrant IV
Step-by-step explanation:
The Cartesian plane is divided into 4 quadrants.
Quadrant I is the top right quadrant, where x and y are positive.
We then move in a counterclockwise direction for quadrants II, III and IV.
Therefore:
Quadrant I: (x, y)Quadrant II: (-x, y)Quadrant III: (-x, -y)Quadrant IV: (x, -y)As point (4, -5) has a positive x-value and a negative y-value, it will lie in Quadrant IV
Ben used 130. 2 pounds of gravel in his front yard and 110. 4 pounds in his back yard. How many more pounds of gravel does Ben use in his front yard than his back yard?
Answer:
19.8
Step-by-step explanation:
Subtract 130.2 by 110.4
the answer choices are
A. 2 1/4 inches
B. 3 inches
C. 4 1/2 inches
D. 5 inches
Check the picture below.
[tex]\stackrel{X}{1\frac{1}{2}}~~ + ~~\stackrel{X}{1\frac{3}{4}}~~ + ~~\stackrel{X}{1\frac{3}{4}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{mixed}{1\frac{1}{2}}\implies \cfrac{1\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{3}{2}} ~\hfill \stackrel{mixed}{1\frac{3}{4}}\implies \cfrac{1\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{7}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{3}{2}~~ + ~~\cfrac{7}{4}~~ + ~~\cfrac{7}{4}\implies \cfrac{(2)3~~ + ~~(1)7~~ + ~~(1)7}{\underset{\textit{using this LCD}}{4}}\implies \cfrac{20}{4}\implies 5[/tex]