multiply 5.5 cm by 11.5 km
5.5 * 11.5 = 63.25
rounded to nearest tenth = 63.3 km
Find the value of x that makes m ∥ n, m ∥ n.
The value of x that will make m parallel to n is: 40.
Recall:According to the Converse of Corresponding Angles Theorem, the two lines cut across by a transversal line are parallel to each other if the two corresponding angles formed are congruent.
Therefore, let's find the value of x that will make m parallel to n.
Thus,[tex]3x^{\circ} = 120^{\circ}[/tex] (corresponding angles)
Solve for x. Divide both sides by 3[tex]x = 40[/tex]
Therefore, the value of x that will make lines m and n to be parallel to each other is 40.
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Bettina’s age is three times Melvina’s age. If 20 is added to Melvina’s age and 20 is subtracted from Bettina’s age, their ages will be equal. How old is each now?
An item costs $410 before tax, and the sales tax is $20.50 . find the sales tax rate. write your answer as a percentage.
The percentage of sales tax is 5%.
Given that, an item costs $410 before tax, and the sales tax is $20.50.
What is the sales tax?Calculating the sales tax applied to a purchase is a matter of simply multiplying the tax rate by the purchase price using the equation sales tax = purchase price × sales tax rate. Adding the sales tax to the original purchase price gives the total price paid with tax.
Let x% be the sales tax.
Now, x% of 410 = 20.50
0.01x ×410 = 20.50
⇒ 4.1x=20.50
⇒ x=20.50/4.1
⇒ x=5
Therefore, the percentage of sales tax is 5%.
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A 5 in by 7in photograph is surrounded by a frame of uniform width the area of the frame equals the area of the photograph find the width of the frame
Let x be the
width of the frame.
Area of the picture is 5*7 = 35 sq in
Area of the frame given as the same, frame = 35 sq in also
Therefore the total area (picture & frame) will be 70 sq in
A simple equation would be made and it will look like this: (7+2x) * (5+2x) =
70
Using the FOIL
method
35 + 14x + 10x + 4x^2 = 70
4x^2 + 24x + 35 - 70 = 0; subtract 70 from both sides:
4x^2 + 24x - 35 = 0
unluckily this will not factor easily, so we should use the quadratic equation:
where: a = 4; b = 24; c = -35
x = -b sqrt b^2 – 4*a*c divided by 2 * a
x
= -24 ±
sqrt 24^2 -4*4*(-35) divided by 2*4
x = -24 ±sqrt 576 -
-(560) divided by 8
x = -24 ± sqrt 576 + 560 divided by 8
x = -24 ± sqrt1136
divided by 8
x = -24 + 33.7046 divided by 8
x = 9.7046 divided by 8
x =1.213 inches is the answer
A water tank is in the shape of a cone.Its diameter is 50 meter and slant edge is also 50 meter.How much water it can store In it ? it releases water to a gated apartment building at the rate of 400 liters per second. In how many minutes tank will be empty?
And object is traveling at a steady speed of 8 2/3 mph how long will it take to object to travel 5 1/5 miles
If ∆JKL ≅ ∆PQR, which one of these is not a pair of corresponding parts? ∠J and ∠P and ∠L and ∠R and
Answer:
J and P
Step-by-step explanation:
A circle has a radius of 10 centimeters. If 7/8 of the circle is cut away, what is the area of the remaining portion? Use 3.14 for π.
A) 44.86 cm2
B) 3.93 cm2
C) 39.25 cm2
D) 358.86 cm2
Thank you :)
Best answer ????...........
-6 - -2 = -4
-5 - - 1 = -4
so y would = x -4
-6 = -2-4
-5 = -1-4
Answer is C
What is the slope of the line passing through the points (2,7) and (-1,3)?
Slope of line passing through 2 points, The slope of line passing through points (2,7) and (-1,3) is 4/3.
What is formula for slope of line passing through 2 points?Slope=(y2-y1)/(x2-x1)
The line is passing through two points (2,7) and (-1,3).
The formula for slope is (y2-y1)/(x2-x1).
x1=2,x2=-1,y1=7,y2=3
Slope=3-7/-1-2
=-4/-3
=4/3
Therefore slope of line is 4/3 if line passing through the points (2,7) and (-1,3).
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what is an equation of the line in slope intercept form m=3 and the y-intercept is (0 4)
The sides of the cubes are numbered 1 through 6. If they are both tossed, what is the probability that they will both be a 2?
it will be 1/36 because the probability of rolling a 2 on one dice is 1/6 so the chance of rolling a 2 on the second dice as well would be 1/36
Using the segment addition postulate, which is true?
AB + BC = AD
AB + BC = CD
BC + CD = AD
BC + CD = BD
Answer: The answer is (d) BC + CD = BD.
Step-by-step explanation: We are given the number line and four points A, B, C and D on the line with co-ordinate -6, -1, 2 and 8 respectively.
We are to select the correct statement out of the given four.
(a) L.H.S. = AB + BC = 5 + 3 = 8,
R.H.S = AD = 14 ≠ 8.
So, this option is incorrect.
(b) L.H.S. = AB + BC = 5 + 3 = 8,
R.H.S = CD = 6 ≠ 8.
So, this option is incorrect.
(c) L.H.S. = BC + CD = 3 + 6 = 9,
R.H.S = AD = 14 ≠ 9.
So, this option is incorrect.
(d) L.H.S. = BC + CD = 3 + 6 = 9,
R.H.S = BD = 9.
So, this option is correct.
Thus, the correct option is (d).
Which is greater 300 kelvins or 34 degrees Celsius ? Show your work
To answer this item, we are to convert one of the unit to the other. The approach to answering is to convert the 34 degrees Celsius to kelvin by the equation,
T = C + 273.15
Substituting the known value,
T = (34) + 273.15 = 307.15 K
Since 307.15K is greater than 300K then, the greater value is 34 degrees C.
ANSWER: 34 degrees C
You have 12 cups of granola and 8 1/2 cups of peanuts to make trail mix. What is the greatest number of full batches of trail mix you can make? Explain how you found your answer. ( The Trail Mix Recipe : 2 2/3 cups granola, 1 1/3 cups of peanuts )
The picture below shows a pole and its shadow: What is the height of the pole? A.196 B.244 C.388 D.364
Answer: 364
Step-by-step explanation: a^2+b^2=c^2
27^2+b^2=365^2
729+b=133,225
-
729 cancel that out then
133,225
-
729
————
132,496 squared~ 364
The function graphed shows the total cost for a taxi cab ride for x miles.
Select from the drop-down menus to correctly identify the taxi cab ride information provided by the graph.
The slope is:
A)5
B)3
C) 2.5
D) 0.2
The slope represents:
A)The total cost of the taxi ride
B)The total number of miles driven
C)The cost per mile traveled
D) the initial cost of the ride
the slope is 2.5
i know this because:
(0,2) (6,18)
18-2 = 16/6 = 2.5
6 - 0 =16/6 = 2.5
Write an expression of the verbal phrase: the quotient of twelve and the product of three times x
The expression of the verbal phrase 'the quotient of twelve and the product of three times x' is 12 / (3x).
Explanation:The verbal phrase 'the quotient of twelve and the product of three times x' can be expressed as:
12 / (3x)
In this expression, '12' represents the dividend or numerator, '3' represents the factor or multiplier, and 'x' represents the variable or unknown. The quotient symbol '/' represents division, and the multiplication symbol 'x' represents the product of three times x.
Jose drives a truck for a soft drink company. His truck is filled with
15-ounce cans and 70-ounce bottles. Let c be the number of 15-ounce cans the truck is carrying, and let b be the number of 70-ounce bottles.Suppose the truck can carry at most 6000 pounds (96,000 ounces).
Using the values and variables given, write an inequality describing this.
PLEASE HELP! I'm struggling so much
Answer : 15c+70b<96,000
Step-by-step explanation:
Given the quadratic function 3x^(2) =8x-5 what are the values of x?
Answer:
The values of x are [tex]\frac{5}{3}[/tex] and 1.
Step-by-step explanation:
Given quadratic function[tex]3x^2=8x-5[/tex]
We have to solve for x.
Consider the given quadratic function [tex]3x^2=8x-5[/tex]
This can be written as [tex]3x^2-8x+5=0[/tex]
We can solve the above quadratic equation using middle term split method,
-8x can be written as -3x - 5x
Thus, the equation becomes,
[tex]3x^2-8x+5=0[/tex]
[tex]\Rightarrow 3x^2-3x-5x+5=0[/tex]
Taking 3x common from first two term and -5 common from last two terms, we get,
[tex]\Rightarrow 3x(x-1)-5(x-1)=0[/tex]
[tex]\Rightarrow (3x-5)(x-1)=0[/tex]
Now using zero product property [tex]a.b=0 \Rightarrow a=0\ or\ b=0[/tex] , we have,
[tex]\Rightarrow (3x-5)=0[/tex] or [tex]\Rightarrow (x-1)=0[/tex]
[tex]\Rightarrow x=\frac{5}{3}[/tex] or [tex]\Rightarrow x=1[/tex]
Thus, The values of x are [tex]\frac{5}{3}[/tex] and 1.
what is 0.0018 in scientific notation
Scientific notation makes it easier to work with very small numbers, like 0.0018.
To express the number 0.0018 in scientific notation, we need to rewrite it as a product of a number between 1 and 10, and a power of 10. Here are the steps:
Identify the Initial Decimal Point Position: The number 0.0018 initially has the decimal point immediately after the zero whole part, before any significant figures.
Move the Decimal Point to the Right: Move the decimal point to the right until there is exactly one non-zero digit to the left of the decimal point. For 0.0018, moving the decimal point three places to the right converts it to 1.8.
Count the Moves: In this case, we moved the decimal three places to the right. Each move to the right represents a negative exponent in scientific notation.
Write in Scientific Notation: The scientific notation form of 0.0018 is written as:
[tex]1.8 \times 10^{-3}[/tex]
The [tex]10^{-3}[/tex] indicates that the decimal point was moved three places to the right.
A car travel at an average speed of 48 miles per hour. how many miles does it travel in 4 hours and 15 minutes
Fred the clown can create 17 animal balloons every 15 minutes.how many animal balloons he could create in 30 minutes and in 60 minutes.
Answer:
34 balloons in 30 minutes.
68 balloons in 60 minutes.
Step-by-step explanation:
We have been given that Fred the clown can create 17 animal balloons every 15 minutes. We are asked to find the number of balloons created by Fred in 30 minutes and 60 minutes.
To find number of balloons created by Fred in 30 minutes, we will multiply 17 by 2 as 30 is 2 times 15.
[tex]\text{Balloons created in 30 minutes}=2\times 17[/tex]
[tex]\text{Balloons created in 30 minutes}=34[/tex]
Therefore, Fred can create 34 balloons in 30 minutes.
To find number of balloons created by Fred in 60 minutes, we will multiply 17 by 4 as 60 is 4 times 15. This means Fred will create 4 times more balloons in 60 minutes than 15 minutes.
[tex]\text{Balloons created in 60 minutes}=4\times 17[/tex]
[tex]\text{Balloons created in 60 minutes}=68[/tex]
Therefore, Fred can create 68 balloons in 60 minutes.
The quotient of 12 times an unknown number and 13 is 6. What is the value of the unknown number?
Factor 9x^6 – 16y^6 completely. First factor each term. 9x^6 = (__)2 16y^6 = (__)2
Then use a2 – b2 = (a – b)(a + b).
Show your work.
9x^6 – 16y^6 =
Answer:
see the equation they want you to use. factor to make it like that.
9 is 3^2 and 16 is 4^2
x^6 is (x^3)^2
so for the answer. factor each term
9x^6 = (3x^3)^2
16y^6 = (4y^3)^2
see that "a" is 3x^3 and "b" is 4y^3 ? put it all together
= (3x^3 - 4y^3)(3x^3 + 4y^3)
Step-by-step explanation:
Identify the transformations that map rectangle A to triangle A
Answer:
It is D. I just did it. D) reflect over y-axis, translate 4 units right, then translate 10 units down
Step-by-step explanation:
in the diagram below eg=100, ef=4x-20, and fg=2x+30
The lengths of segments x=15, EF=40, FG=60.
To solve for x, we can use the fact that the total length of segment EG is equal to the sum of the lengths of segments EF and FG.
EG = EF + FG
Substituting the given values, we get:
100 = 4x - 20 + 2x + 30
Combining like terms, we get:
100 = 6x + 10
Subtracting 10 from both sides, we get:
90 = 6x
Dividing both sides by 6, we get:
15 = x
Therefore, the value of x is 15.
We can now solve for the lengths of segments EF and FG.
EF = 4x - 20
Substituting the value of x, we get:
EF = 4(15) - 20
EF = 60 - 20
EF = 40
FG = 2x + 30
Substituting the value of x, we get:
FG = 2(15) + 30
FG = 30 + 30
FG = 60
Therefore, the lengths of segments EF and FG are 40 and 60, respectively.
Answer:
x = 15
EF = 40
FG = 60
Solve for x: −2x − 4 > 8 (1 point)
x < −6
x > −6
x < −2
x > −2
Option A : x < -6 is the correct choice.
We have a inequality -
−2x − 4 > 8
We have solve and find the solutions to this inequality.
What is an Inequality in mathematics ?An inequality compares two values or expressions, showing if one is less than, greater than, or simply not equal to another value.
According to the question, we have -
−2x − 4 > 8
Add 4 on both sides -
-2x - 4 + 4 > 8 + 4
-2x > 12
Multiply both sides by -1, we get -
2x < - 12
Divide by 2 on both sides -
x < -6
Hence, x < -6 represents the solution of the inequality.
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The pair of figures is similar. Find x. Round to the nearest tenth if necessary.
The pair of triangle shown in the diagram are similar. Similar triangle have proportional corresponding sides. So you can write a proportion connecting all given known and unknown sides:
[tex]\dfrac{23}{40}=\dfrac{x}{17}.[/tex]
From here you have that
[tex]40\cdot x=23\cdot 17,\\ \\x=\dfrac{23\cdot 17}{40}=\dfrac{391}{40}=9.775\approx 9.8\ cm.[/tex]
Answer: 9.8 cm.
What does it mean for event b to be independent of event​ a?