Answers
#20
1/2x+3<2x-61/2x-2x<-6-3-3/2x<-93/2x>9x>9(2/3)x>6#21
Find LCD of 2,7x,x
x is most commonSo
LCD is 2(7x)(x)=14x²Answer:
20. (4) x > 6
21. (3) 14x
Step-by-step explanation:
Question 20
[tex]\begin{aligned}\dfrac{1}{2}x+3 & < 2x-6\\\dfrac{1}{2}x+3-3 & < 2x-6-3\\\dfrac{1}{2}x & < 2x-9\\\dfrac{1}{2}x-2x & < 2x-9-2x\\-\dfrac{3}{2}x & < -9\\-\dfrac{3}{2}x \cdot 2 & < -9 \cdot 2\\-3x & < -18\\-\dfrac{3x}{3} & < -\dfrac{18}{3}\\-x & < -6\\\dfrac{-x}{-1} & < \dfrac{-6}{-1}\\x & > 6\end{aligned}[/tex]
Question 21
Rewrite all three fractions so that their denominators are the same:
[tex]\dfrac{1}{2}=\dfrac{1 \times 7x}{2 \times 7x}=\dfrac{7x}{14x}[/tex]
[tex]\dfrac{2}{7x}=\dfrac{2 \times 2}{7x \times 2}=\dfrac{4}{14x}[/tex]
[tex]\dfrac{5}{x}=\dfrac{5 \times 14}{x \times 14}=\dfrac{70}{14x}[/tex]
Therefore, the least common denominator is [tex]14x[/tex]
Related Questions
The increase in a person’s body temperature t(t), above 98.6ºf, can be modeled by the function t (t) = startfraction 4 t over t squared 1 endfraction, where t represents time elapsed. what is the meaning of the horizontal asymptote for this function?
Answers
The person's body temperature will approach 98.6ºF as time lapses, The horizontal asymptote of y = 0 means that the person’s temperature will approach 98.6ºF as time elapses.
What is horizontal asymptote?A horizontal asymptote is known to be that line that is horizontal in nature and it is one that is not an aspect of a graph that has a function but t act as a guides for its x-values.
Note that Horizontal asymptote occurs to T(f) only when t is said to be very large (as it approaches infinity) and thus, it connote that the person's body temperature will be going towards 0ºF above 98.6ºF as t moves to infinity.
See full question below
The increase in a person’s body temperature T(t), above 98.6ºF, can be modeled by the function T(t)=(4t)/(t^2 +1), where t represents time elapsed. What is the meaning of the horizontal asymptote for this function?
The horizontal asymptote of y = 0 means that the person’s temperature will approach 98.6ºF as time elapses. The horizontal asymptote of y = 0 means that the person’s temperature will approach 0ºF as time elapses. The horizontal asymptote of y = 4 means that the person’s temperature will approach 102.6ºF as time elapses. The horizontal asymptote of y = 4 means that the person’s temperature will approach 4ºF as time elapses.
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You roll a 6-sided die.
what is p(even or factor of 45)?
write your answer as a percentage.
Answers
Answer:
p(even or factor of 45) = 100%Step-by-step explanation:
let S₁ be the set of factors of 45 that are less or equal to 6:
S₁ : {1 , 3 , 5}
let S₂ be the set of the even numbers that are less or equal to 6:
S₂ : {2 , 4 , 6}
S₁ ∪ S₂ = {1 ,2 , 3 , 4 , 5 , 6}
⇒ card(S₁ ∪ S₂) = 6
Then
p(even or factor of 45) = p(S₁ ∪ S₂) = 6/6 = 1
Therefore
p(even or factor of 45) = 100%
A right prism has a rectangular base. The length is 5ft, width is 2ft, and its height is 10ft.
What is the volume of the prism?
ft³
Answers
If the dimensions of the prism are doubled the surface area of the enlarged prism is 640 cm²
Surface area of a rectangular prism:Area = 2lw + 2lh + 2whwhere
h = height
l = length
w = width
Therefore, if the dimension of the prism are doubled the new dimension will be as follows:
l = 5(2) = 10 cm
w = 2(2) = 4 cm
h = 10(2) = 20 cm
Therefore,
surface area = 2(10 × 4) + 2(10 × 20) + 2(20 × 4)
surface area = 2(40) + 2(200) + 2(80)
surface area = 80 + 400 + 160
surface area = 640 cm²
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Volume
LBH5(2)(10)10²100ft³PLEASE HELP!
Before you answer:
-No spam (Will be reported)
-No incorrect answers (Will be reported)
-Correct answers and explanations will be mark as BRAINLIEST
Answers
Answer:
For the circle with the diameter of 7cm, the area is about 38.48cm and the circumference is about 22cm
For the circle with the diameter of 5cm, the area is about 19.63cm and the circumference is about 15.7cm
Step-by-step explanation:
The formula to find the area of a circle is pi*r^2
The formula to find the circumference is 2*pi*r
r = radius, which can be determined simply by taking the diameter, and dividing it by 2.
Answer:
See below ~
Step-by-step explanation:
Circle 1 :
Area = πr² = 22/7 x (7/2)² = 11 x 7/2 = 77/2 = 37.5 cm²Circumference = 2πr = 2 x 22/7 x 7/2 = 2 x 11 = 22 cmCircle 2 :
Area = πr² = 22/7 x (5/2)² = 22/7 x 25/4 = 550/28 = 19.64 cm²Circumference = 2πr = 2 x 22/7 x 5/2 = 220/14 = 15.71 cmWhere can i revise for my end of year maths assessment
Answers
Answer:
Huh??
where on brainly
Step-by-step explanation:
A quantity y varies inversely with the square of x. if y=8 when x=3, find y when x is 4.
Answers
I think 7/2 im not definate
I think of i take away 5 the results is 14 what number did i think of
Answers
Answer:
19.
Step-by-step explanation:
Let the number you think of be x, then:
x - 5 = 14.
x - 5 + 5 = 14 + 5
x = 19.
Triangle ABC is shown below. Using a compass and straightedge, construct the dilation of ABC centered at B with a scale factor of 2.
Answers
Triangle ABC would remain the same because a dilation generally preserves the measure of an angle.
What is scale factor?A scale factor simply refers to a ratio of two (2) corresponding side lengths or diameter in two (2) similar geometric figures such as triangles.
In this exercise, you're required to construct a dilation of triangle ABC that is centered at B with a scale factor of 2 by using a compass and straightedge.
In conclusion, triangle ABC would remain the same because a dilation generally preserves the measure of an angle.
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Write an equation for the line that has a slope of -2/3 and goes through the point (-6,8)
Answers
Answer:
The solution is in the image
Answer:
y = (-2/3)x + 4
Step-by-step explanation:
the equation of a line is given by the formula y = mx + b where m is the slope and b is the y intercept.
so,
y = (-2/3)x + b
to find b we plug in the values of x and y given by the point (-6,8)
8 = 4 + b
b = 4
so y = (-2/3)x + 4
When two numbers are not equal, an ___ is a sentence that uses the symbols >, <, ≥, ≤, or ≠ to show a relationship.
Answers
Answer:
Inequality
Step-by-step explanation:
Inequality is show a comparison between the two quantities which are unequal.
It can be represented:
≤ ⇒ less than or equal to
< ⇒ less than
≠ ⇒ not equal to
> ⇒ greater than
≥ greater than or equal to
Kavinsky
Solve this questiion please asap
Answers
Answer:
Y=3
Step-by-step explanation:
please mark brainliest
Answer:
Y = 3
If you need me to explain it step by step lmk.
Mac has 40 ounces of juice. He pours 6 ounces in each glass. How many glasses can he fill?
Answers
Answer:
6
Step-by-step explanation:
Given the expression: 3x¹0 - 48x²
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
Answers
B. 3x^2(x^4+4)(x^4-4) = 3x^2(x^4+4)(x^2+2)(x^-2)
If Zoe paints the visible outside faces of her shed, what is the total surface area that she paints?
If Zoe paints the visible outside faces of her shed, what is the total surface area that she paints? A. 48 ft^2 B. 64 ft^2 C. 96 ft^2 D. 112 ft^2
the measurements are 4,4,6 and 3
Answers
Answer:
^2D its because the shed has only two faces
Show work pleaseeeee
Answers
Answer:
[tex]volume \: = 1130.4 {m}^{3} [/tex]
Step-by-step explanation:
The formula to find the volume of a cylinder is:
[tex]v = \pi {r}^{2} h \\ basically \:it \:is\: the\: area \:of \:the \:circular \\ \:base\: \times\: \:height \:of \:the \:cylinder[/tex]
Note that the radius is half the diameter (12), therefore the radius is 6*
According to the diagram we know that:
[tex]\pi = 3.14 \: \: \: r = 6 \: \: \: h = 10 \\ \\v = \pi {r}^{2} h\\ \\ v = (3.14)( {6}^{2} )(10) \\ \\ v = (3.14)(360) \\ \\ v = 1130.4 {m}^{3} [/tex]
if sally drives to work 25% faster than she did yesterday, what would be her
percentage decrease in the time it takes her to get to work
Answers
Answer:
50 percent
Step-by-step explanation:
because sally was tried yesterday and went 25 percent faster today.
Cody's school is selling tickets to the annual talent show. On the first day of ticket sales the school sold 1 senior citizen ticket and 13 child tickets for a total of $111. The school took in $156 on the second day by selling 12 senior citizen tickets and 9 child tickets. What is the price each of one senior citizen ticket and one child ticket?
Answers
The price of one senior citizen ticket is $7 and the price of one child ticket is $8.
What are the linear equations that represent this question?s + 13c = 111 equation 1
12s + 9c = 156 equation 2
Where:
c = price of one child ticket s = price of one senior citizen ticket What is the price of one children's ticket?Multiply equation 1 by 12
12s + 156c = 1332 equation 3
Subtract equation 2 from equation 3
1176 = 157c
c = $8
What is the price of one senior citizen's ticket?
Substitute for c in equation 1:
s + 13(8) = 111
s = 111 - 104
s = $7
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10% of 2100 is 210
Work out 43% of 2100
Answers
Answer:
43÷100*2100=903
Step-by-step explanation:
43 devide by 100 because it is a percentage, we always devide percentages by 100. It gives an answer of 0,43.
0,43 multiply by 2100 because we need a cost.
can you pleas help this is a math question
Answers
Answer:
10.5 baskets
Step-by-step explanation:
The median is the middle value, but for this one just add the two in the middle and divide by 2.
4+3 = 7
Each ball is 3 baskets
7×3 = 21
21/2 = 10.5
question 7. evaluate the expression
Answers
[tex]\left(3^3 - 6 \cdot 8 \right) \div 7\\\\\\= \dfrac{27-48}{7}\\\\\\=-\dfrac{21}7\\\\\\=-3\\[/tex]
Answer:
-3
Step-by-step explanation:
Using PEMDAS :
ParenthesesExponentsMultiplicationDivisionAdditionSubtractionExponent (in Parentheses)
(3³ - 6 × 8) ÷ 7(27 - 6 × 8) ÷ 7Multiplication (in Parentheses)
(27 - 6 × 8) ÷ 7(27 - 48) ÷ 7Subtraction (In Parentheses)
(27 - 48) ÷ 7-21 ÷ 7Division
-21 ÷ 7-3Write a formula for function h in terms of function f.
Answers
Answer:
h(x) = f(x - 12) - 4
Step-by-step explanation:
y = f(x) (-6, 11)
⬇️ ⬇️
y - h(x) (6, 7)
so h(x) = f(x - 12) - 4
Hope this helps and have a nice day
An isosceles triangle has an angle that measures 58°. What measures are possible for the other two angles? Choose all that apply.
Answers
Answer:
it's probably 58 and 64 just a random guess but I think all triangles add up to 180
9x^2+4y÷z when x=2/3, y=3, and z=6
Answers
Explanation: Fill in the variables with numbers.
9(2/3)^2 + 4(3) divide 6
Use PEMDAS.
Answer:
6
Step-by-step explanation:
[tex]\text{From the question...}\\9x^2 + 4y \div z\\x = \frac{2}{3}\\y = 3\\z = 6\\\\\text{Substitute in values}\\9(\frac{2}{3})^2 + 4(3) \div (6)\\\\\text{Following the rules of BODMAS or PEMDAS}\\9(\frac{4}{9}) + 12 \div 6\\4 + 2\\6[/tex]
Find the circumference,
18 ft
Answers
Answer:
56.549 feet
Step-by-step explanation:
Diameter. ft in m
18′0″ 56.55. 678.6 17.24
18′1″ 56.81.
18′2″ 57.07. 684.9
18′3″ 57.33. 688.0
18′4″ 57.60. 691.2
18′5″ 57.86. 694.3 17.64
18′6″ 58.12. 697.4 17.71
18′7″ 58.38 700.6 17.79
18′8″ 58.64 703.7 17.87
18′9″ 58.90. 706.9 17.95
18′10″ 59.17. 710.0 18.03
18′11″ 59.43. 713.1 18.11
25° 35° to 205° circle
Answers
Answer:
x = 60
Step-by-step explanation:
the chord- chord angle x is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.
The sum of the arcs in a circle = 360° , then
intercepted arc = 360° - (35 + 25 + 205)° = 360° - 265° = 95°
then
x = [tex]\frac{1}{2}[/tex] (95 + 25 ) = [tex]\frac{1}{2}[/tex] × 120 = 60
The element silicon has a molar mass of 28.09 g/mol. Calculate the mass of 0.15 mol of Silicon.
Answers
The answer is 28.09 g. I hope this helped.
Answer:
The answer is 4.2 g
Will mark brainlist to whoever answers first
Answers
Answer:
the answer is (6,5) pls mark brainest
Answer:
The answer is D.) (6,5)
Step-by-step explanation:
When the first point goes right, you add it, and when the second point goes down, you subtract it
solve the simultaneous equation
5x + 2 Y = 8
and
X + y = 1
I need help
Answers
Answer:
5x+2y=8
2x+2y=2
subtract both eq.
3x-0y=6
3x=6
x=2
x+y=1
2+y=1
y= -1
Does the graph show a linear function?
Answers
DOES THE GRAPH SHOW A LINEAR FUNCTION?
[tex] \sf \large \color{grey}{YES IT SHOWS A GRAPHIC LINEAR}[/tex]
Answer:
yeah, cuz it's a line that's straight
please answer all questios with explanations giving 50 points and brainliest please answer correct too thanks have a bootiful day ;)
Answers
Answer:
1. See attached
2. largest value = 3 ³/₄ in
3. smallest value = 1 ¹/₂ in
4. It snowed 3 ¹/₄ inches for 3 days
5. To find the two values, add 3 to the smallest value:
⇒ 1 ¹/₂ + 3 = 4 ¹/₂ in
Or subtract 3 from the largest value:
⇒ 3 ³/₄ - 3 = ³/₄ in
