Answer:
x = 5/3Step-by-step explanation:
Guven two prime numbers to be 31/x and 71/x, if their sum is 10 as given;
3x + 71/x = 10 then to find the value of x, the following steps must be taken;
Step 1
Find the LCM of the given equation;
3x + 71/x = 10
[tex]\frac{3x^{2}+71 }{x} =10\\[/tex]
Step 2:
Cross multiplying;
[tex]3x^{2} +71=10x\\3x^{2} -10x+71 =0\\[/tex]
Using the general formula to get the value of x;
x = -b±√b²-4ac/2a
a=3, b=-10, c=71
= 10±√(-10)²-4(3)(71)/2(3)
= 10±√100-852/6
= 10±√-752/6
= 10±27.4i/6
= 10+27.4i/6 or 10-27.4i/6
x = 5/3+27.4i/6 or 5/3-27.4i/6
Since the values of x are real values then, our answer will be the real part of the complex number gotten.
x = 5/3
-1/2y=1/2x+5 and y=2x+2
I assume this is the intersection of two lines, i.e. -1/2y is (-1/2)y. Please tell me if it's really -1/(2y).
(-1/2)y=(1/2)x+5
Multiplying both sides by -2
y = - x - 10
The other equation is
y = 2x + 2
We can equate them to find the meet
y = - x - 10 = 2x + 2
-3x = 12
x = -4
y = 2x + 2 = -6
Check: (-1/2)y=3, (1/2)x+5=3, equal, good
2x+2=2(-4)+2=-6=y, good
Answer: x=-4, y=-6
Polygon v has an area of 1 square unit. Jun-seo drew a scaled version of polygon v using a scale factor of 7 and labeled it polygon w
Answer:
The area of Polygon
W
WW is
49
4949 square units.
Step-by-step explanation: dk
Scale factors are used to enlarge or reduce the size of a shape
The area of polygon w is 49 square units
The area of polygon v is given as:
[tex]v =1[/tex]
The scale factor of the sides of polygon v, that forms polygon w is given as:
[tex]k=7[/tex]
The area of polygon w is then calculated as:
[tex]w =v\times k^2[/tex]
So, we have:
[tex]w =1\times 7^2[/tex]
Evaluate the exponents
[tex]w =1\times 49[/tex]
Multiply 1 and 49
[tex]w =49[/tex]
Hence, the area of polygon w is 49 square units
Read more about scale factors at:
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A soccer field is a rectangle 40 yards long and 30 yard wide. The coach asks the players to run from one corner to the other corner diagonally across. What is the distance?
Answer:
50 yards
Step-by-step explanation:pythogourus theorem apply here
a²+b²=c²
40²+30²=c²
c²=2500
c=√2500
c=50 yards
hope this helps
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1/4 (8x - 20) - 16 = 10x + 51
Answer:
The answer is -9 (If your looking for x)
Step-by-step explanation: I would suggest using the app Photomap for this kind of stuff. You take a picture of an equation and it gives you a step by step explanation and the answer. Glad I could help!
a swimming pool has a length of 100 meters , a width of 25 meters and a depth of 4 meters throughout the whole pool. how much water can fill the pool ?
Answer:
10,000 m^3 of water can fill the pool.
Step-by-step explanation:
volume of a rectangular prism is length * width * height (depth)
100*25*4=2500*4=10,000
Therefore, 10,000 m^3 of water can fill the pool.
I hope this helped and have a good rest of your day!
Whether ab is tangent to circle c at point b
Answer:
No
Step-by-step explanation:
If segment AB is tangent to the circle, then angle CBA will be a right angle, making triangle ABC a right triangle. If triangle ABC is a right triangle, it's sides will fit the Pythagorean theorem...
(leg)^2 + (leg)^2 = (hypotenuse)^2
Does 8^2 + 16^2 = 19^2 ?
64 + 256 does not equal 361!
Triangle ABC is NOT a right triangle, so segment AB is not tangent to the circle.
Urgent please solve quickly please!
Solve the system of linear equations by substitution
-x+y=7
6x-y=-7
Answer: x = 0, y = 7
-x+y=7
add x to both sides
y=x+7
plug this in for y in the other equation
6x-(x+7)=-7
simplify
6x-x-7=-7
simplify
5x-7=-7
add 7 to both sides
5x=0
divide both sides by 5
x=0
plug in to one of the equations to find y
-(0)+y=7
y=7
Therefore, x=0 and y=7.
Hope this helps!
Answer:
x = 0. y = 7. (0,7)
Step-by-step explanation:
-x+y=7
+x. +x
y = x +7
6x-y= -7
6x - (x + 7) = -7
6x - x - 7 = -7
5x -7 = -7
+ 7. +7
5x = 0
÷5. ÷5
x = 0
-x + y = 7
0 + y = 7
y = 7
n circle V, r = 14ft.
What is the area of circle V?
a
49π square feet
b
196π square feet
c
14π square feet
d
28π square feet
Answer:
196 pi, otherwise known as choice b
Step-by-step explanation:
14^2*pi
Answer:
b
Step-by-step explanation:
The formula for the area of a circle is [tex]\pi r^2[/tex]. Plugging in the radius that you are given, you get [tex]\pi \cdot 14^2=196\pi[/tex], or answer choice b. Hope this helps!
Need help ASAP. WILL MARK BRAINLIEST.
Answer:
8.6 cm
Step-by-step explanation:
Please see the picture attached below.
Which of the following equations will yield the surface area of cylinder?
Answer: [tex]A=2\pi rh+2\pi r^2[/tex]
The guy on the top is rite. ☻♥
Which best describes the transformation that occurs from
the graph of f(x) = x2 to g(x) = (x - 2)²+ 3?
Answer:
The graph changes from the original position to right 3 units and down 1 unit.
I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!
in a class of 26 student, 15 of them like maths, 13 of them like english and 9 of them don't like maths or english.
Find the probability that a student chosen at random like english but not maths.
Answer:
2/26
Step-by-step explanation:
The total number of students = 26 students
Number of students that like maths = 15 students
Number of students that like English = 13 students
Number of students that does not like English or maths = 9
We have to find the number of students that likes both Maths and English.
Therefore,
Let x be the number of student that like both Maths and English subjects
15 - x + x + 13 - x + 9 = 26
-x + 37 = 26
-x = -11
x = 11
Number of student that offer english but not math
Number of students that like English but not Maths = Number of Students that like English - Number of students that like English and Maths
= 13 - 11 = 2
Therefore, probability that a student chosen at random like English but not Maths.
Probability = Number of events ÷ Number of possible outcomes
Number of events = Number of students that like English but not Maths= 2
Number of Possible outcomes = Total number of students = 26
The probability that a student chosen at random like English but not Maths.
= 2/26
***Please Help ASAP***
The mean life of a Brand Q car battery is 36 months. The standard deviation is 4 months.
68% of all batteries will have a life between _____ months and _____ months.
95% of all batteries will have a life between _____ months and _____ months.
Answer:
Step-by-step explanation:
Let x be a random variable representing the life of a Brand Q car battery. With the mean and standard deviation given, then the Empirical Rule says the that
1) About 68% of the x values lie between 1 standard deviation below and above the mean.
2) About 95% of the x values lie between 2 standard deviations below and above the mean.
3) About 99.7% of the x values lie between 3 standard deviations below and above the mean.
From the information given,
mean = 36 months
Standard deviation = 4 months
Therefore,
1) 68% of all batteries will have a life between 36 - 4 = 32 months and 36 + 4 = 40 months.
2) 95% of all batteries will have a life between 36 - 2(4) = 28 months and 36 + 2(4) = 44 months.
The measure of a circumscribed angle is equal to 180° minus the measure of the __________
angle that intercepts the same arc.
Answer:
The measure of a circumscribed angle is equal to 180° minus the measure of the central angle that intercepts the same arc. If two chords intersect in the interior of a circle, then the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord.
Step-by-step explanation:
Gavyn can type 2200 words in 40 minutes.
Stephen can type 3850 in 70 minutes.
Richard can type 3000 words in 50 minutes.
Who types at the fastest rate of words per minute?
Answer:
Richard
Step-by-step explanation:
Gavyn: 55 wpm
Stephen: 55 wpm
Richard: 60 wpm
John’s dog Fido is tied to a post in his backyard. Fido’s leash is 8.5 feet long.
Determine how much circular roaming area Fido has in the backyard to the nearest square foot.
(Use 3.14 to represent π)
51 ft.
multiply the pe.ipheral roaming space together
Find the lateral area and surface area of a regular hexagonal right prism is the base edges are 10 and the height is 12.
Round your answer to the nearest tenth.
LA = units squared
SA = units squared
Answer:
Step-by-step explanation:
a hexagonal prism is made up of two bases that are hexagons and six faces that are rectangles.
Lateral surface area, LA = Perimeter × height
Perimeter = number of sides × length of each side
Perimeter, P = 6 × 10 = 60
LA = 60 × 12 = 720 units squared
Area of each base, B = 1/2a × perimeter
Where
a = apotherm
We would determine the length of the apotherm of each base of the prism by applying the formula,
a = s/[2tan(180/n)]
Where
s = length of each side = 10
n = 6 sides
a = 10/[2tan(180/6) = 10/[2tan30)
a = 8.66
B = 1/2 × 8.66 × 60 = 259.8
Total surface area = LA + 2B
Total surface area = 720 + 2 × 259.8 = 1239.6 units squared
AEFG - ALMN. Find LM.
Answer:
The solution is 2.5. The problem can be solved using the proportion:
2
4
=
x
5
Step-by-step explanation:
I hope it makes since =)
Find the probability.
6) A cooler contains twelve bottles of sportsdrink: three lemon-lime flavored, fourorange flavored, and five fruit-punchflavored. You randomly grab a bottle. Then you return the bottle to the cooler,mix up the bottles, and randomly selectanother bottle. Both times you get alemon-lime drink.
7) You select two cards from a standardshuffled deck of 52 cards. Both selectedcards are diamonds. (Note that 13 of the 52cards are diamonds.)
Answer:
The Probability of getting lemon drink on both draws is 1/16
The Probability of getting diamond on both cards is 1/17
Step-by-step explanation:
1)
No. of lemon-lime flavored bottle = 3
No. of orange flavored bottle = 4
No. of fruit punch flavored bottle = 5
Total bottles = 12
We are given that You randomly grab a bottle. Then you return the bottle to the cooler,mix up the bottles, and randomly select another bottle. Both times you get a lemon-lime drink.
Probability of getting lemon drink on both draws with replacement =[tex]\frac{3}{12} \times \frac{3}{12} = \frac{1}{16}[/tex]
So, The Probability of getting lemon drink on both draws is 1/16
2)
No. of diamond cards = 13
Total cards =52
Probability of getting diamond on first card = [tex]\frac{13}{52}[/tex]
Probability of getting diamond on second card =[tex]\frac{12}{51}[/tex]
Probability of getting diamond on both cards = [tex]\frac{13}{52} \times \frac{12}{51}=\frac{1}{17}[/tex]
So, The Probability of getting diamond on both cards is 1/17
A horizontal boxplot is plotted along a horizontal axis marked from 0 to 20, in increments of 1. A left whisker extends from 4 to 7. The box extends from 7 to 14 and is divided into 2 parts by a vertical line segment at 10. The right whisker extends from 14 to 18. All values estimated. About what percent of Brad's fantasy football leagues have fewer than 7 teams? Choose 1 answer: (Choice A) 0% (Choice B) 25% (Choice C) 50% (Choice D) 75% (Choice E) 100%
The min is 4 as this is the smallest value and it is visually shown as the left-most point on the boxplot. This is the tip of the left whisker.
The value of the first quartile (Q1) is the left edge of the box and that is 7. The left whisker goes from 4 to 7. The left whisker represents 25% of the data, which is another way of saying "25% of the data is below Q1". So 25% of the distribution has between 4 and 7 teams.
Raheem found a worm that was 9 centimeters long what is the length of the worm in in millimeters? Just answer the question in number form do not add millimeters when adding your answer
Answer:
90
Step-by-step explanation:
When converting from centimetres to millimetres you must multiply by ten. 9cm x 10 = 90mmJohn is digging a rectangular hole. The area of the rectangle is 8 square feet. John digs 4 feet down into the ground. What is the volume of John's hole in cubic feet?
Answer:
32 cubic feet
Step-by-step explanation:
To know the volume of a figure we have to calculate the area of its "base" and then multiply it by its height.
In this case we have a rectangular hole that has an area of 8 square feet.
As we said before:
Volume = Area x height.
If we substitute the value of the area of the rectangle and the height (or depth in this case) we would get:
Volume = 8 x 4 = 32 cubic feet.
Thus, the volume of John's hole is 32 cubic feet.
Answer:
32 cubic feet
Step-by-step explanation:
The volume of a rectangular prism is given by;
Length*width*Height
or, Area*height
Height = 4 feet
Area= 8 square feet
Conversion to Cubic feet is given by;
(cubic feet) = (square feet) × (height in feet)
Therefore,
Cubic feet = 8 square feet*4 feet
= 32 cubic feet.
Apples are on sale for $1.49 per pound. What is the price for 2 1/2 pounds of apples? Express your answer in decimal form, and round your answer to the nearest hundredth.
PLS I NEeD THIS TO PASS PLEASE Please awnser
Answer:
Step-by-step explanation:
Price of one pound of apples = $1.49
∴Price of 2 and 1/2 pound of apples = [tex]2\frac{1}{2}[/tex] × [tex]1.49[/tex]
= 2.5 × 1.49
= 3.725
= $ 3.73
Hope this helps!!
Please mark as Brainliest!!
Answer:
$3.73
Step-by-step explanation:
can hispanics say the N-word? my answer is some hispanics can cause they could be mixed with black or the ancestors could've been black.. just wanna hear your opinions.
Answer:
it depends
Step-by-step explanation:
to be honest with you
Answer:
the Hispanics can and cant say the n word
Step-by-step explanation:
because the Hispanics might have black friends or can have their ancestors genetics for blacks and also their not the same color as the whites aka americans
need help asap :) they said the text was too short so don't mind this
Answer:
try 63
Step-by-step explanation:
14×9=126
126÷2=63
Answer: area of 63
Step-by-step explanation: the formula is Area = height * base/2
so now substitute Area = 9 * 14/ 2
multiply... Area = 126/ 2
then divide to get 63
hope this helps mark me brainliest if it did
Given DOG, find DG.
Round your answer to the nearest hundredth.
Answer:
DG = 31.75
Step-by-step explanation:
The question is incomplete; however, I'll answer your question using attached image.
From the attachment,
<G = 72° and DO = 8.2
Required
DG?
To get the length of side DG, We have to look for a trigonometric ratio that relates DG, DO and <G together.
DG represents the hypothenus of the triangle;
DO represents the opposite of the triangle;
The two sides are bound by the sine function.
i.e.
Sin72° = DO/DG
Sin72° = 8.2/DG
Multiply both sides by DG
DG * Sin72 = 8.2/DG * DG
DG * Sin72 = 8.2
Sin72 = 0.2538
So, DG * Sin72 = 8.2 becomes
DG * 0.2538 = 8.2
Divide both sides by 0.2583
DG * 0.2583/0.2583 = 8.2/0.2583
DG = 8.2/0.2583
DG = 31.746031746
DG = 31.75 --- Approximated
What is 65,321 rounded to the nearest ten thousand?
Answer:
70,000
Step-by-step explanation:
5 always rounds UP to the nearest whole number, therefore, 70,000.
65321 rounded to nearest ten thousand's place becomes 70000.
How to round a number to ten thousands place ?An easy way of rounding numbers to ten thousand's place we'll understand by an example.
65321 have to rounded to ten thousand's place which is either 60000 or 70000.Here the given number is more closer to 70000 than 60000 so therefore 65321 rounded to the nearest ten thousand is 70000.
According to the given question
We have 65321 and we have to round it to the nearest ten thousand.
To round a number nearest to ten thousand first we'll check the digit of thousand's place which is 5 we'll add 1 to it make all the digits after that 0.
Now this becomes 66000.
Now we'll check for the digit in ten thousand's place which is 6 we'll add 1 to it and make the rest of the digits 0 hence it becomes 70000.
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Faron wants to paint the four walls in his bedroom. The room measures 12 ft long, 10 ft wide and 8 ft high. There are two doors that each measure 3 ft by 7 ft and a window that measures 3 ft by 4 ft. If Faron does not paint the doors and window, what is the total area he will paint?
Answer:
319 square feet.
Step-by-step explanation:
The walls of the room (the ones on the long side) have an area of 12 x 8 = 96 square feet each one. Thus, their area is 96 x 2= 192 square feet.
The other two walls have an area of 10 x 8 = 80 square feet each one. Thus, their area combined is 80 x 2 = 160 square feet.
Therefore, we have that the total area of the four walls is
192 +160 = 352 square feet
However, we have a door and a window that won't be painted.
The area of the door is: 3 x 7 =21 square feet
The area of the window is 3 x 4 = 12 square feet
Thus, the total amount of area that won't be painted is
21 + 12 = 33 square feet.
So we are going to take the total area minus the area that won't be painted to know the total area that Faron will pain:
352 - 33 = 319 square feet.
Thus, she will paint 319 square feet
expand the linear expression 6(7m+2)
Answer:
42m +12
Step-by-step explanation:
6(7m+2)
Distribute
6*7m +6*2
42m +12
Answer:
42m+12
Step-by-step explanation:
Find the area of a circle with a circumference of 6.28 units.
Answer:
3.14
Step-by-step explanation:
The required area of the circle is given as 3.14 square units, as of the circumference of 6.28 units.
What is an area circle?The area of a circle is given by the pie times square of the radius.
Area of circle = πr²
Here,
circumference of a circle is 6.28 units.
circumference = 6.28
2 × π × r = 6.28
r = 1
Now,
Area of the circle = πr²
Area of the circle = 3.14 × 1²
Area of the circle = 1 square unit
The required area of the circle is given as 3.14 square units, as of the circumference of 6.28 units.
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