Answer:
12 minutes
Step-by-step explanation:
We must understand that as the number of people increase in a work, lesser time is taken to finish the work. This implies that the number of people is inversely proportional to the time taken to do the work.
Let n be the number of people.
Let t be the time taken to do the work.
Thus,
n ∝ 1/t
n = K/t
Next, we shall determine the constant of proportionality. This can be obtained as follow:
Number of people (n) = 2
Time (t) = 1 h = 60 minutes
Constant of proportionality (K) =.?
n = K/t
2 = K / 60
Cross multiply
K = 2 × 60
K = 120
Finally, we shall determine the time taken for 10 people to do the work. This can be obtained as follow:
Number of people (n) = 10
Constant of proportionality (K) = 120
Time (t) = ?
n = K/t
10 = 120 / t
Cross multiply
10 × t = 120
Divide both side by 10
t = 120 / 10
t = 12 minutes
Thus, it will take 12 minutes for 10 people to finish the work.
What is the value of x in the triangle below?
1. Malik has $30,000 in a savings account that earns 8% annually.
The interest is not compounded. How much total money will he
have in 2 years after collecting the interest?
a. How much simple interest did Malik receive?
$
b. How much total money does Malik have after the 2 years?
$
Step-by-step explanation:
I= prt
I= 30000×8%×2
I= 4800
total = 30000+4800
=34800
A painter is placing a ladder to reach the third story window, which is 14 feet above the ground and makes an angle with the ground at 70°
How far out from the base of the building does the ladder need to be positioned? Round your answer to the nearest tenth.
Answer:
4.8
Step-by-step explanation:
We are given the hypotunese or the slanted side which is the ladder length which is 14.
We are given an angle at the bottom which is 70 degrees.
We are asked to find the horizontal side which is adjacent to the angle at the bottom.
Since we have a hypotunese and a side adjacent to the angle, we are going to use the function cosine.
we use this formula
[tex] \cos(theta) = \frac{adj}{hypo} [/tex]
[tex] \cos(70) = \frac{x}{14} [/tex]
x=4.8
15% of $9 is $
please show how you got your answer.
Answer:
1.35$
Step-by-step explanation:
Answer: 1.35
Step-by-step explanation:
[tex]\frac{15}{100}[/tex]×9= 1.35
hope this helps :)
could you explain to me how to do this ? I do not understand at all
Answer:
I believe this is how you do it
Step-by-step explanation:
csc∅tan∅
(1/sin∅)(sin∅/cos∅)
(sin∅)/(sin∅cos∅)
1/(cos∅)
sec∅
csc²∅tan²∅sin∅
1/(sin²∅) * tan²∅ * sin∅
tan²∅/sin²∅ * sin∅
tan²∅/sin∅
plsssss help anyone!!!!!!!!!!!!!!!
Answer:
Well, I kind of know this but I don't wanna be wrong so here and the sides if it helps
1. 2x8x8
2.2x8x8
3. 8x8x10x10
Answer:
I think this is the answer
Section 1 area is 16, section 2 is 16, and section 3 is 80, the whole area of the trapezoid is 140
Hope it helps
Step-by-step explanation:
John has 44 quarters.
Jan has 100 dimes. Who
has more money?
John has more.
John has $11 while Jan has $10
What expressions equivalent to 25c+15 ? ( more than one answer )
A. 25c+15/5
B. 5c+15
C. 3+5c
D. 1/5(25c+15)
E. 5(25c+15)
Answer:
The only one that looks familiar is B sorry >-<
Step-by-step explanation:
Answer: The correct answers are C and B
Step-by-step explanation:
Help plz due today and don't worry abt my answers
The Gonzalez family sold their home for $256,000. Their real estate agent earned 5.5% in commission of that sale. How much did the Gonzalez family get to keep from the sale?
i need help here!!!! pls help pls pls pls !!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
go with a on the first one and c on
BRAINLIST BRAINLIST BRAINLIST
Answer:
0.5 onces
Step-by-step explanation:
Answer:
0.50 ounce
Step-by-step explanation:
Hope I am right forgive me if I am not
What are the constant(s) in the expression 6y+3x-2
Answer:
2 is a contact but 6 and y are not because six is with y and 3 is with x
Step-by-step explanation:
Which of the following is equal to 287 ÷ 7?
A.
(280 ÷ 7) + (7 ÷ 7)
B.
(280 ÷ 7) - (7 ÷ 7)
C.
(280 + 7) ÷ (7 + 7)
D.
(280 ÷ 7) + (280 ÷ 7)
Answer:
(280+7) ÷ (7+7)
Step-by-step explanation:
hopefully this helps ya
The equation that is equal to 287 ÷ 7 is (280 + 7) ÷ (7 + 7). The correct option is C.
What is equation?An equation is a statement in mathematics that shows that two expressions are equal. It has two sides that are separated by an equal sign.
To find the value of 287 ÷ 7, we can use the following methods:
(280 ÷ 7) + (7 ÷ 7) = 40 + 1 = 41(280 ÷ 7) - (7 ÷ 7) = 40 - 1 = 39(280 + 7) ÷ (7 + 7) = 287 ÷ 14 = 20.5(280 ÷ 7) + (280 ÷ 7) = 40 + 40 = 80We can simplify 287 ÷ 7 as follows:
287 ÷ 7 = 280 ÷ 7 + 7 ÷ 7
Note that 7 ÷ 7 simplifies to 1, so we have:
287 ÷ 7 = 280 ÷ 7 + 1
Therefore, the answer is C. (280 + 7) ÷ (7 + 7) = 287 ÷ 14 = 20.5.
For more details regarding equation, visit:
https://brainly.com/question/29657983
#SPJ2
Which rule describes rotating 90° counterclockwise?
(x,y)➪(-x,-y)
(x,y)➪ (y -X)
(x,y)➪(x,y)
(x,y)➪(-y,x)
The figure below shows a trapezoid, ABCD, having side AB parallel to side DC. The diagonals AC and BD intersect at point O.
If the length of AO is three times the length of CO, the length of DC is
A. three times the length of OC
B. three times the length of DO
C. one-third of the length of AC
D. one-third of the length of AB
Answer:
I believe it's D.
Lmk if I was right, cause I'm 98% sure on this
A right triangle has side lengths that are consecutive interest and a perimeter of 12 feet what are the angles of the triangle
Answer:
Step-by-step explanation:
The sides are consecutive integers and the perimeter is 12 ft.
3 ft, 4 ft, 5 ft
One angle is 90°, one angle is arcsin(3/5) ≅ 36.9°
the remaining angle is 90-36.9 = 53.1°
Plz help me plzzzz I need it
Step-by-step explanation:
y= 30x + 180
there is no solution to represent Karen which is 4x + 100
32) In a triangle, the exterior angle is twice of each of the interior remote angles. The exterior angle is 1200. Find the measure of the three angles of the triangle.
Answer:
60 degrees each
Step-by-step explanation:
For the triangle, the sum of the interior angles is equal to the exterior
Let x and y be interior
Let z be the third angle
w be the exterior
w = x+y
120 = x+y
If the exterior angle is twice of each of the interior remote angles, then;
2x = 2y
x = y
120 = x+x
2x = 120
x = 60
Since x = y, y = 60 degres
From the triangle, the third angle will be 180 - 120
z = 180-120
z = 60
The measures of the 3 angles are 60 degrees each
Hi guys I am new here. Let me introduce myself . Jasmin, 15 years old and in 9th class. Hope I will have a good time in here.
Answer:
Hope so too
Step-by-step explanation:
rewrite 3^-4 without negative exponents
a. 81
b. -81
c. 1/81
d. -1/81
1/81(C)
Step-by-step solution(3)^4=81
if 3^-1=1/3
so, 3^-4=1/81(C)
BRAINLIEST Please help i'd appreciate it thanks, Have a nice day :)
Sally wants to decrease 150 by 3% Complete this statement to show how Sally can decrease 150 by 3%
150x ___=_____
first=
second=
Marissa is standing next to an 18-foot tall flagpole that is casting a 12 foot long shadow. If Masissa's shadow is 3 1/2 feet long, how tall is marissa?
Answer: 5.25ft
Step-by-step explanation:
See picture
Answer:
5'2"
Step-by-step explanation:
Which Venn diagram is NOT correct? (Geometry Multiple CHoice)
Answer:
option D is the correct answer of this question .
plz mark my answer as brainlist plzzzz.
A store sold 650 bicycles last year. This year the store sold 572 bicycles. What is the percent decrease in the number of bicycles sold from last year to this year? PLEASE HELP
Answer:
Decreased by 12%
Step-by-step explanation:
to find percentage change --- new-original/original x 100
-78/650 x100 = -12%
1. The people of Whoville were shopping like crazy to get their lists completed! One customer bought a wreath for $12 and seven ornaments. The customer spent a total of $54. How much did each ornament cost?
2. If the average size of a heart is 12 cm and the Grinch's heart is "maybe" two sizes too small . How many centimeters is the Grinch's heart?
Answer:
i came from da one dude with 4 questtions, uhm
$52 - $12 is $40
$40 divided by 7 is 5.71428571??
so i would say about $6.00 for each ornament
and easy, 12 divided by 2 is 6 so his heart is 6 cm
Step-by-step explanation:
Answer:
Step-by-step explanation:
This is my other ACC, just click the crown
A binary search is to be performed on the list: 1 , 5 ,10 , 13 , 48 , 68 , 100 , 101 How many comparisons would it take to the find the number 101?
Answer:
3 comparisons
Step-by-step explanation:
Given:
[tex]List: 1 , 5 ,10 , 13 , 48 , 68 , 100 , 101[/tex]
Required
Determine the number of comparisons to get to 101
The length of the list is 8. So, the first index is 0 and the last is 7.
We have:
[tex]List[0] = 1[/tex] [tex]List[1] = 5[/tex] [tex]List[2] = 10[/tex] [tex]List[3] = 13[/tex]
[tex]List[4] = 48[/tex] [tex]List[5] = 68[/tex] [tex]List[6] = 100[/tex] [tex]List[7] = 101[/tex]
Initially:
[tex]begin = 0[/tex] -- first index
[tex]end = 7[/tex] --- last index
Start by calculating the mid-item
[tex]mid = \frac{1}{2}(begin + end)[/tex]
[tex]mid = \frac{1}{2}(0 + 7)[/tex]
[tex]mid = \frac{1}{2}(7)[/tex]
[tex]mid = 3.5[/tex]
[tex]mid = 4[/tex] --- approximated.
The mid-index is 4 and the item is:
[tex]List[4] = 48[/tex]
101 is on the right of 48.
So, we calculate the new begin index.
[tex]begin = mid + 1[/tex]
[tex]begin= 4 +1[/tex]
[tex]begin = 5[/tex]
Calculate mid
[tex]mid = \frac{1}{2}(begin + end)[/tex]
[tex]mid = \frac{1}{2}(5 + 7)[/tex]
[tex]mid = \frac{1}{2}(12)[/tex]
[tex]mid= 6[/tex]
The mid-index is 6 and the item is:
[tex]List[6] = 100[/tex]
101 is on the right of 100.
So, we calculate the new begin index.
[tex]begin = mid + 1[/tex]
[tex]begin = 6 +1[/tex]
[tex]begin= 7[/tex]
Calculate mid
[tex]mid = \frac{1}{2}(begin + end)[/tex]
[tex]mid = \frac{1}{2}(7+7)[/tex]
[tex]mid = \frac{1}{2}(14)[/tex]
[tex]mid = 7[/tex]
At this point, the mid-index is at 101
i.e.
[tex]List[7] = 101[/tex]
This implies that, we have located 101.
So far, we made 3 comparisons
[tex]4[/tex] comparisons are needed to find the number [tex]101[/tex] in the list.
Binary search algorithm searches for a number in a sorted list/array. It does this by first comparing the number in the middle of the array with the number searched for, then recursively continuing the search on either the left-half or right-half of the array if the middle comparison failed.
The element [tex]101[/tex], is at the rightmost end of the array. This means that the algorithm will have a worst case running time. The worst case running time of a binary search algorithm is given by
[tex]T_n=\lfloor log_2(n)+1\rfloor[/tex]
where [tex]\lfloor x \rfloor[/tex] is the floor function that gives the greatest integer less than or equal to [tex]x[/tex], and [tex]log_2(n)[/tex] is the logarithm of [tex]n[/tex] to base [tex]2[/tex]
In our case, the number of elements in the array, [tex]n=8[/tex]. So,
[tex]T_n=\lfloor log_2(n)+1\rfloor\\\implies T_8=\lfloor log_2(8)+1\rfloor = 4\\[/tex]
So, the algorithm will need to make [tex]4[/tex] mid-array comparisons to get to [tex]101[/tex].
Learn more about Binary search here: https://brainly.com/question/11305694
On a biased dice the probability of getting 1 is 0.3. The ice is rolled 150 times. How many ones would you expect to roll?
Answer: 45
=====================================================
Work Shown:
n = number of rolls = 150
p = probability of rolling a "1" = 0.3
n*p = expected number of "1"s that show up out of the 150 rolls
n*p = 150*0.3
n*p = 45
We expect about 45 ones will show up.
6th grade math help me pleasee
Answer:
4.5
Step-by-step explanation:
i had that question before
Answer:
4.5
Step-by-step explanation:
π ≅ 3.14
4² < 23 < 5²
4 < √23 < 5
3.14 < √23 < 5