Answer:
[tex]=-23.2[/tex]
Step-by-step explanation:
[tex]\left(-4\times \:5.2\right)-\left(-3\left(-\frac{4}{5}\right)\right)\\\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a,\:-\left(-a\right)=a\\=-4\times \:5.2-3\times \frac{4}{5}\\4\times \:5.2=20.8\\4\times \:5.2\\\mathrm{Multiply\:the\:numbers:}\:4\times \:5.2=20.\\=20.8\\3\times \frac{4}{5}=\frac{12}{5}\\3\times \frac{4}{5}\\\mathrm{Multiply\:fractions}:\quad \:a\times \frac{b}{c}=\frac{a\:\times \:b}{c}\\=\frac{4\times \:3}{5}\\\mathrm{Multiply\:the\:numbers:}\:4\times \:3=12\\[/tex]
[tex]=\frac{12}{5}\\=-20.8-\frac{12}{5}\\\mathrm{Convert\:element\:to\:a\:decimal\:form}\\\frac{12}{5}=2.4\\=-20.8-2.4\\\mathrm{Subtract\:the\:numbers:}\:-20.8-2.4=-23.2\\=-23.2[/tex]
The total mass of Sandeep and his sister, Leela, is 54.75 kg. The total
mass of Sandeep and his mother, Mrs Kohli, is 105 kg. Mrs Kohli is
4 times as heavy as Leela. What is Sandeep's mass?
Answer:
38 kg
above is the answer
The volume of a sphere is given below where r is the radius of the sphere. What is
the approximate radius, in units, of a sphere that has a volume of 164.636 units
cubed?
V = 4/3pi*r^3
o 3.4
o 4.1 o 7.3
o 39.3
( i really need help )
Answer: 3.4
Step-by-step explanation:
V=4/3•pi•(r)^3
164.636=4/3•pi•(r)^3
164.636/(4/3•pi)= 39.3…
39.3=(r)^3
*cubed root of both sides* r=3.399… so r=3.4
There are 130 people in a sports centre. 65 people use the gym 51 people use the swimming pool, 44 people use the track 15 people use the gym and the pool 14 people use the pool and the track 10 people use the gym and the track 1 person uses all 3 facilities A person is selected at random, what is the probability that this person doesn't use any facilities?
Answer:
Step-by-step explanation:
The Venn diagram representing the situation is shown in the attached photo.
G represents the set of people that use the gym.
P represents the set of people that use the swimming pool.
T represents the set of people that use the track.
Since 1 person uses the 3 facilities, it means that
Number of persons that use gym and pool only is 15 - 1 = 14
Number of persons that use pool and track only is 14 - 1 = 13
Number of persons that use gym and track only is 10 - 1 = 9
Number of persons that use gym only is
65 - (14 + 1 + 9) = 41
Number of persons that use pool only is
51 - (14 + 1 + 13) = 23
Number of persons that use track only is
44 - (9 + 1 + 13) = 21
N represents the number of people that use none of the facilities. Since there are 130 people in a sports centre, it means that
41 + 23 + 21 + 9 + 14 + 13 + 1 + N = 130
122 + N = 130
N = 130 - 122
N = 8
Therefore, the probability that a person doesn't use any facilities is
8/130 = 0.062
[tex]\frac{4}{65}[/tex] is the required probability.
What are sets?A set is an unorganized well-defined collection of similar types of objects.
Eg : {1,2,3,4,5} or {Science, Maths, English}
How to solve?Given:-
Total people (n) = 130
People using gym (G) = 65
People using swimming pool (P) = 51
People using track (T) = 44
(Gym U pool) = 15
(pool U track) = 14
(Gym U track) = 10
(Gym U track U pool) = 1
Using venn diagram :
Total participating people are 41 + 23 + 21 + 14 + 9 + 13 + 1 = 122
since total people are 130, non participants are 130 - 122 = 8
Probability of an event = [tex]\frac{favourable}{total}[/tex] = [tex]\frac{8}{130} = \frac{4}{65}[/tex]
Thus, the probability that a random person doesn't uses any facility is [tex]\frac{4}{65}[/tex]
To know more about Sets visit:
https://brainly.com/question/13458417
#SPJ2
WILL MARK BRAINLIEST Name two nations that controlled Vietnam during the 1940’s.
Find the value of X to the nearest degree.
Suppose that an individual has a body fat percentage of 16.7% and weighs 147 pounds. How many pounds of her weight is made up of fat? Round your answer
to the nearest tenth.
Answer:
24.549 pounds
Step-by-step explanation:
Help ASAP pleaseee!!!!!!!
Answer:
A
Step-by-step explanation:
As they have the same slope they should be parallel so a is the answer
Answer:
Graph D (-1, -2)
Step-by-step explanation:
I graphed the two equations using a graphing tool.
When graphed, they pass at the point (-1,-2).
(-1, -2) is the solution.
It looks like that graph D has the lines passing at the same point.
Option D should be the correct answer.
6 9/10 as a decimal number
Answer:
6.9
Step-by-step explanation:
Answer:
6.9
You have to convert it into a improper fraction,like 69/10 divide that and the decimal version will be 6.9. So just like put the 6 with the numerator(9) and make that new number divide the denominator (10).
Which statement is best represented by the inequality d less-than 0.35? The pen costs less than $0.35. The pencil costs greater than $0.35. The toy costs more than $0.35. The stamp’s cost is equal to $0.35.
Answer:
option A, the pen cost less than $0.35
I hope this is helpful :)
Answer:
A
Step-by-step explanation:
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A triangle with angle measures 48 degrees, 65 degrees, and 67 degrees is an ______ triangle
Answer:
acute triangle.
Step-by-step explanation:
an acute triangle has all its angle less than 90°
What is the circumference of a circle with a diameter of 21cm, rounded to the nearest tenth
Answer:
Step-by-step explanation:
22/7 * 21 = 66cm
65.9 cm
Step-by-step explanation:
The formula for the circumference of a circle is...
[tex]C=\pi d[/tex]
Since the problem asks to round to the nearest tenth, we know that we will convert pi to 3.14. We also know the diameter is 21, so we can put both of these in the formula.
[tex]C=3.14*21[/tex]
C = 65.940
Rounded to the nearest tenth...
C = 65.9 cm
the sum of the interior angles or a regular pentagon is
Answer:
540 degrees
Step-by-step explanation:
i think
The amount in dollars an electrician charges in terms of the number of hours worked is represented by the function y = 22x + 42. From the function, identify all the phrases that hold true for the situation. Options attached!
15 POINTS!
Answer:
The electrician charges an initial fee of $42
The electrician charges $22 for every hour worked
Step-by-step explanation:
From the formula, y = 22x + 42, $42 is a one-time fee and $22 depends on the hours the electrician works.
The only phrases that are true are:
The electrician charges an initial fee of $42The electrician charges $22 for every hour workedAnswer:
The electrician charges an initial fee of $42
The electrician charges $22 for every hour worked
Step-by-step explanation:
Which fraction is greater than 4/8 a.1/2 b.1/4 c.7/8 d.3/5
Answer:
c and d
Step-by-step explanation:
4/8 = 1/2
a.1/2 =1/2 so it is not greater
b.1/4 < 1/2 = 2/4 so 4/8 is greater
c.7/8 > 4/8 so 7/8 is greater
d.3/5 3/5 = 6/10 1/2 = 5/10
3/5 > 4/8
Answer: 7/8 and 3/5
Step-by-step explanation:
First, let’s look at 4/8 and 1/2. They have different denominations so let’s change them. 2 and 8’s closest multiple that they share is 8. 8/8=1, so we have to multiply the numerator and denominator by 1 which doesn’t change the fraction. 8/2=4, so we have to multiply the numerator and denominator by 4 which makes it: 4/8. 4/8 and 4/8 are the same so they are equal.
Next, let’s look at 4/8 and 1/4. They have different denominations so let’s change them. 4 and 8’s closest multiple that they share is 8. 8/8=1, so we have to multiply the numerator and denominator by 1 which doesn’t change the fraction. 8/4=2, so we have to multiply the numerator and denominator by 2 which makes it: 2/8. 4/8 is greater than 2/8 so this would be a wrong answer.
Then, let’s look at 4/8 and 7/8. They have the same denominations so we don’t have to change them. Let’s look at the numerators though: 4 and 7. 7 is greater than 4 so this answer would be correct.
Finally, let’s look at 4/8 and 3/5. They have different denominations so let’s change them. 5 and 8’s closest multiple that they share is 40. 40/8=5, so we have to multiply the numerator and denominator by 5 which makes it 20/40. 40/5=8, so we have to multiply the numerator and denominator by 8 which makes it: 24/40. 24/40 is greater than 20/40, so this answer is correct.
Hope this helps!
A quadratic equation can be written in the form =(−ℎ)2+ y = a ( x - h ) + k , where (h, k) is the vertex of the parabola. This form can be used to determine the minimum y-value of the related function. Which is the minimum y-value of =52−20+24 y = 5 x 2 - 20 x + 24 ?
Answer:
(2,4)Step-by-step explanation:
The given function is
[tex]y=5x^{2} -20x+24[/tex]
Where [tex]a=5[/tex], [tex]b=-20[/tex] and [tex]c=24[/tex].
The vertex is at [tex](h,k)[/tex], which is defined as [tex]h=-\frac{b}{2a}[/tex] and [tex]k=f(h)[/tex]. So, replacing values, we have
[tex]h=-\frac{-20}{2(5)}=\frac{20}{10}=2[/tex]
Then, [tex]k=f(2)=5(2)^{2} -20(2)+24=5(4)-40+24=20-40+24=4[/tex]
So, the vertex is at [tex]V(2,4)[/tex].
Remember that the minium or maximum value of a quadratic function is defined by its vertex. In this case, it represents a minimum at (2,4).
PLEASE HELP!
A lock has a code of 5 numbers between 1 and 20. If no numbers in the code are allowed to repeat, how many different codes could be made?
It’s 1,860,480
Just trust me lol.
What is the vertex of the absolute value function below?
1
ON
8
6
(4, -1)
(1-4)
(1.4)
(4,1)
Answer: C. (4, 1)
Step-by-step explanation:
Can someone plz help me plz plz plz i really need help plz
Answer: the car is cheeper 20 miles better
Step-by-step explanation:
13 = 11 + u
I need work and answer!!!
Answer:
u = 2
Step-by-step explanation:
13 = 11+u
Subtract 11 from each side
13-11 = 11+u-11
2 = u
Answer:
u=2
Step-by-step explanation:
Given: 13=11+u
Subtract 11 from both sides: 13-11=11-11+u
2=u or u=2
Please can I have brainliest?
The first term of an AP is 5, common difference is 3 and the last term is 80. Find the number of terms.
Answer:
n=26
Step-by-step explanation:
an=a+(n-1)d
80=5+(n-1)3
80=5+3n-3
80-2=3n
78/3=n
n=26
Please help asap!! Thank you in advance!! :)
Answer:
y-4=1/5(x-7)
Step-by-step explanation:
First, you need to find the slope of the line. From the point (2,3) to the point (7,4), the line rises 1 unit while moving sideways 5. Therefore, the slope of the line is 1/5. Hence, the equation of the line is y-4=1/5(x-7). Hope this helps!
PLEASE HELP
A bookshelf holds 6 different biographies and 4 different mystery novels. How many ways can one book of each type be selected?
11
30
24
20
Answer:
There are 24 ways to select one book of each type.
Step-by-step explanation:
In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.
The formula to compute the combinations of k items from n is given by the formula:
[tex]{n\choose k}=\frac{n!}{k!(n-k)!}[/tex]
It is provided that there are 6 different biographies and 4 different mystery novels on a bookshelf.
Compute the number of ways to select a biography as follows:
Number of ways to select a biography =
[tex]={6\choose 1}\\\\=\frac{6!}{1!(6-1)!}\\\\=\frac{6\times 5!}{1\times 5!}\\\\=6[/tex]
There are 6 ways to select a biography.
Compute the number of ways to select a mystery novel as follows:
Number of ways to select a mystery novel =
[tex]={4\choose 1}\\\\=\frac{4!}{1!(4-1)!}\\\\=\frac{4\times 3!}{1\times 3!}\\\\=4[/tex]
There are 4 ways to select a mystery novel.
Then the total number of way to select one book of each type is:
[tex]{6\choose 1}\times {4\choose 1}=6\times 4=24[/tex]
Thus, there are 24 ways to select one book of each type.
What is the length of the hypotenuse of the triangle below? It’s D bro just took it
Answer: D
Step-by-step explanation:
a^2 +b^2 = c^2
[tex]3\sqrt{2}^2[/tex]= 18
3\sqrt{2}^2= 18
18 + 18 = 36
The square root of 36 is 6
Answer:
D no is correct ans
Step-by-step explanation:
using pythagoras thoerem h^2=p^2+b^2
and put the value P=3root 2 and b =3root2 and take out h
Only do question 13
50 points
Topic: Percentage
Answer:
13) 6.25cm
Step-by-step explanation:
250% = 250/100 =2.5 times larger than before
multiply 2.5cm and 2.5 to get new size
2.5 x 2.5 = 6.25
Answer:
6.25 cm
Step-by-step explanation:
The original size is 2.5 cm
We increase it 250%
2.5 * 250%
Change to decimal form
2.5 * 2.50
6.25 cm
Find xu.
A. 6
B. 4.5
C. 2.25
D. 3
Answer:
A
Step-by-step explanation:
TX=XZ=ZU=3
XU=XZ+ZU=3+3=6
Answer:
D. 3
Step-by-step explanation:
hurrrrryyyyyyyyy A triangle is reduced.
A triangle has a base of 16 inches, height of 12 inches, and side length of 20 inches. A smaller triangle has a base of 12 inches, height of 9 inches, and side length of blank.
Not drawn to scale
What is the perimeter of the reduced triangle, in inches?
Answer:
Step-by-step explanation:
32
Which correctly describes a cross section of the right rectangular prism if the base is a rectangle measuring 15 inches by 8 inches? Select three options..
A right rectangular prism with length 15 inches, width of 8 inches, and height of 6 inches.
A cross section parallel to the base is a rectangle measuring 15 inches by 8 inches.
A cross section parallel to the base is a rectangle measuring 15 inches by 6 inches.
A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.
A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 4 inches by 15 inches.
A cross section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches.x
This question is not complete because it lacks the diagram of the Rectangular prism.
Answer:
Attached to this diagram is the necessary diagram
• A cross section parallel to the base is a rectangle measuring 15 inches by 8 inches.
• A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.
• A cross section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches.
Step-by-step explanation:
A right rectangular prism is a prism that is 3 dimensional in shape and it has 6 rectangular faces.
From the attached diagram, we can see that their is a cross section that is parallel to the base, it has breadth of 8 inches and breathe of 15inches, therefore the option
"• A cross section parallel to the base is a rectangle measuring 15 inches by 8 inches." is correct.
Secondly, when we look at the diagram and check the midpoints thought the 8 inches sides , the cross section perpendicular to the base is a rectangle that has a length of 6 inches and a breadth of 15 inches . Therefore the option
"• A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches." Is correct
Thirdly, by observing the attached diaiagram,
• A cross section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches is correct.
The opening in a rectangular door frame measures 9 feet by 3 feet. Each of the four doors described in the table measures 9 feet by 3 feet, but have different diagonal lengths. Which door will fit in the rectangular opening?
Door 1
diagonal: 10 feet
Door 2
diagonal: 3 StartRoot 10 EndRoot feet
Door 3
diagonal: 6 StartRoot 2 EndRoot feet
Door 4
diagonal: 12 feet
Answer:
Door 2
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
door 2
Someone please please please help me! This is due soon and I’m only at 34 percent!! Please help!
Answer:3.5 and -3.5
Step-by-step explanation:
Because of the absolute value marks a negative will become positive. So 3.5 and |-3.5| are equal to 3.5
Find the 96th term of the arithmetic sequence
-3, -14, -25, ...
Answer:
The 96th term of the given AP is (-1048)
Step-by-step explanation:
We have, the given AP is :
-3, -14, -25....
First term is -3
Common difference is -14 - (-3)= -11
Let [tex]a_{96}[/tex] is the 96th term of the AP.
The nth term of the AP is given by :
[tex]a_n=a+(n-1)d[/tex]
Put all the values, such that,
[tex]a_{96}=(-3)+(96-1)\times (-11)\\\\a_{96}=-1048[/tex]
So, the 96th term of the given AP is (-1048).