Answer:
12.50
Step-by-step explanation:
1.25x 24= 30
30
-
18.50
____
12.50
Number of water bottles Hudson buys :
[tex] =\tt 24 \times 2[/tex]
[tex] = \tt48[/tex]
Thus, Hudson buys 48 water bottles.
Cost price of 48 water bottles = 18.50
Cost price of 1 water bottle :
[tex] =\tt \frac{18.50}{48} [/tex]
[tex]\color{plum} =\tt \$0.38[/tex]
Thus, cost price of one water bottle = $0.38
Selling price of one water bottle = $1.25
Selling price of 48 water bottles :
[tex] = \tt48 \times 1.25[/tex]
[tex]\color{plum}=\tt \$60[/tex]
Thus, selling price of 24 water bottles = $60
Which means :
▪︎Cost price = $18.50
▪︎Selling price = $60
Profit = Selling price - Cost price :
Profit Hudson made :
[tex] =\tt 60 - 18.50[/tex]
[tex]\color{plum} = \tt\$41.5[/tex]
Thus, profit Hudson made = $41.5
We know that :
[tex]\color{hotpink}\tt \: Profit \: Percentage =\color{plum} \frac{profit \times 100}{cost \: price} [/tex]
Percentage of profit Hudson made :
[tex] =\tt\frac{41.5 \times 100}{18.50 \times 100} [/tex]
[tex] =\tt \frac{4150}{1850} [/tex]
[tex]\color{plum} =\tt 2.24\%[/tex]
Thus, percentage of profit Hudson earned = 2.24%
Therefore,● Profit Hudson made = $41.5
● Percentage of profit Hudson made = 2.24%
There are 120 counters in a bag.
40% of the counters are red.
3/8 of the counters are yellow.
The rest of the counters are green.
Find what fraction of the counters are green.
Answer:
9/40
Step-by-step explanation:
120 × ⅖ = 48
120 × ⅜ = 45
120 - 93 = 27
27/120 = 9/40
Based on the proportions and the counters in the bag, the fraction that is green is 9 / 40.
Number of Green countersYou can find the number of green counters by:
= Number of counters - Red counters - Yellow counters
= 120 - (120 x 40%) - (120 x 3/8)
= 120 - 48 - 45
= 27 green counters
Fraction of green counters= Number of green counters / Total number of counters
= 27 / 120
To take it to the lowest term, divide both numbers by 3:
= 9 / 40
In conclusion, the fraction is 9 / 40.
Find out more about fractions at https://brainly.com/question/17743912.
I need help I can’t understand having the answer is going to help a lot
Answer:
Step-by-step explanation:
35[tex]\frac{1}{2}[/tex]÷1[tex]\frac{1}{4}[/tex]=28.4
Help would be appreciated thanks .
Answer:
my answer was wrong and cannot help
Okay lets get one thing straight Tsukki is not a nerd he is shmexy ! And Kyo is not just "okay" he is mega hot!
Answer:
Nope. Icy-hot, you've got it all wrong, Tsukkishima is a godda.mn nerd like Deku, and Kyo is meh.
3
Michael split
pounds of candy among 8 people.
What is the unit rate in pounds per person?
Write your answer in simplest form.
Answer:
1/8
Step-by-step explanation:
The question is incomplete, here is the complete question
Michael split 3/4
pounds of candy among 8 people.
What is the unit rate in pounds per person?
Write your answer in simplest form
SOLUTION:
Micheal splits 3/4 candy among 8 people
Therefore the unit rate per pounds per person can be calculated as follows
= 3/4 ÷ 8
= 3/4 × 1/8
= 3/24
= 1/8
Hence the unit per pound per person is 1/8
Help pls ^picture^
I really need this quick
Answer:
[tex]4.4*10^9[/tex]
Step-by-step explanation:
[tex]8.8(10^6)(5(10^2))\\=8800000*500\\=8.8*1000000*5*100\\=(8.8*5)*(1000000*100)\\=44*100000000\\=4400000000\\4400000000=4.4*10^9[/tex]
HELPPPPPPPPPPPP[PPPPPP
Answer:
26mm
Step-by-step explanation:
w+10 + w+ 20 = 144/3
3w+30 = 48
3w = 18
w=6
longest side is 6+20 = 26
What is the domain of the function graphed below?
Answer:
Positive infinite to negative infinite
Step-by-step explanation:
Please do number 3___________________
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Answer:
m∠SVW = 80°
Step-by-step explanation:
3. The sum of same-side interior angles SVW (4x°) and VWT (5x°) is 180°. This can be used to solve for x and to find the angle values.
4x + 5x = 180
9x = 180 . . . . . . . . collect terms
x = 20 . . . . . . . . . . divide by 9
m∠SVW = 4x° = 4(20)°
m∠SVW = 80°
_____
4. Then m∠VWT = 180° -80° = 100° = 5x°.
__
5. Consecutive interior angles are supplementary. ("Same-side" and "consecutive" are used interchangeably in this context.)
the difference of two numbers is 8. their sum is 17. find the two numbers?
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Answer:
4.512.5Step-by-step explanation:
Let s represent the smaller number. Then s+8 is the larger number, and their sum is ...
s + (s+8) = 17
2s = 17 -8 = 9
s = 9/2 = 4.5
s+8 = 4.5 +8 = 12.5
The two numbers are 4.5 and 12.5.
_____
Comment on problems of this type
A method is shown here for solving the problem using one equation in one variable. The general solution can be seen to be ...
two numbers = (sum ± difference)/2
Here, that is ...
two numbers = (17±8)/2 = (25, 9)/2 = (12.5, 4.5)
what’s the answer, help please !
24 – 37x - 72
[tex]24 - 37x - {72}^{2} [/tex]
. factorise it
Answer:
The answer is -37x - 48
what is the inequality of -5x + 19 ≥ 9
Answer:
x<=2
Step-by-step explanation:
-5x+19>=9
-5x>=9-19
-5x>=-10
5x>=10
x>=10/5
x>=2
x<=2
Where are the black dots located?!!
-2, 2 and for the other 4,5
Answer:
(-2,2) ; (4,5)
Step-by-step explanation:
(-4z+1) (5z-2)=
solution plz.
Answer:
-20z² + 13z - 2.
Step-by-step explanation:
hello !
you use the F.O.I.L method to multiply these two. first, you multiply the first terms, which are:
(-4z)(5z) = -20z²
then, the outside terms, which are:
(-4z)(-2) = 8z
then, the inside terms, which are:
(1)(5z) = 5z
then, lastly, the last terms, which are:
(1)(-2) = -2
Therefore, we get:
-20z² + 8z + 5z - 2.
combine like terms, and the answer is:
-20z² + 13z - 2.
If the sumof two numbers is 4 and the sum of their squarea minus three times their product is 76, find the two numbers
Answer:
Step-by-step explanation:
If the sumof two numbers is 4 and the sum of their squarea minus three times their product is 76, find the two numbers
Let us represent:.
First number = x
Second number = y
If the sum of two numbers is 4
= x + y = 4
x = 4 - y
The sum of their squares minus three times their product is 76
x² + y² - 3xy = 76
We substitute 4- y for x
(4 - y)² + y² - 3(4 - y)y = 76
(4 - y)(4 - y) + y² - (12 - 3y)y = 76
16 - 4y - 4y - y² + y² - 12y - 3y² = 76
16 -20y - 3y² = 76
3y² + 20y - 16 + 76 = 0
3y² + 20y + 60 = 0
You have a friendship club. There are 12 members in your club. On the twelfth day of each month, you have a friendship call. Each member of the club talks to every other member that day by phone. This way everybody expresses his or her friendship with each other. How many conversations are made on that day?
Answer: There are a total of 66 conversations.
Step-by-step explanation:
Ok, we have 12 members.
let's call them:
member 1, member 2, member 3, etc...
Let's assume that member 1 starts talking to the others, then he talks to:
member 2, member 3, member 4, etc.
So member 1 talks to the other 11 members.
We have already 11 conversations.
Now let's count the conversations of member 2.
He talks to member 1, member 3, etc.
But the conversation between member 1 and member 2 was already counted, so we do not count it this time, then here we have other 10 conversations.
now for member 3. He talks with member 1, member 2, member 4, member 5, etc...
But conversations between member 1 and member 3, and member 2 and member 3 are already counted, so here we have 9 new conversations.
We already can see the pattern here.
For each new member that we count, the number of conversations is one less than for the previous member.
The total number of conversations will be:
11 + 10 + 9 + 8+ 7 + 6+5 + 4 + 3+ 2+ 1 = 66
3x+3y=−x+5y what is the ordered pair
Answer:
2x-y=0
Step-by-step explanation:
Calculate the area of a kite that has diagonals that measure 6 centimeters and 8 centimeters.
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Answer:
24 cm²
Step-by-step explanation:
When the diagonals of a quadrilateral cross at right angles, the area of it is half their product.
A = (1/2)(d1)(d2)
A = (1/2)(6 cm)(8 cm) = 24 cm²
The area of the kite is 24 square centimeters.
please help me out with this
4 When a ball bounces, the heights of consecutive bounces form
a geometric sequence. The height of the first bounce is
121 centimeters and the height of the third bounce is
64 centimeters. To the nearest centimeter, what is the height of the
fifth bounce?
Answer:
34 cm
Step-by-step explanation:
The nth term of a geometric progression Tₙ = arⁿ⁻¹ where a = first term, and r = common ratio.
Given that our first term, T₁ = ar¹⁻¹ = a = 121 cm and our third term T₃ = ar³⁻¹ = ar² = 64 cm
Then, T₃/T₁ = ar²/a = r²
r² = T₃/T₁
r² = 64 cm/121 cm
r = √64/121
r = 8/11
So, the height of our fifth bounce T₅ = ar⁵⁻¹
= ar⁴
= 121 cm × (8/11)⁴
= 121 × 4096/14641
= 4096/121 cm
= 33.9 cm
≅ 34 cm to the nearest cm
Using a geometric sequence, it is found that the height of the fifth bounce is of 33.85 cm.
In a geometric sequence, the quotient between consecutive terms is always the same, and it is called common ratio r.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1r^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
In this problem:
The height of the first bounce is of 121 cm, hence [tex]a_1 = 121[/tex].The height of the third bounce is of 64 cm, hence [tex]a_3 = 64[/tex], and this is used to find r.[tex]a_n = a_1r^{n-1}[/tex]
[tex]64 = 121r^{2}[/tex]
[tex]r^2 = \sqrt{\frac{64}{121}}[/tex]
[tex]r = \frac{8}{11}[/tex]
Hence:
[tex]a_n = 121\left(\frac{8}{11}\right)^{n-1}[/tex]
The height of the fifth bounce is of [tex]a_5[/tex], hence:
[tex]a_5 = 121\left(\frac{8}{11}\right)^{4} = 33.85[/tex]
The height of the fifth bounce is of 33.85 cm.
You can learn more about geometric sequences at https://brainly.com/question/11847927
allison read 4/8 of an hour everyday of the week. How many hours does she read each week
Answer:
3 1/2 hours
Step-by-step explanation:
Multiply 4/8 by 7 and you get 28/8 whihc reduces to 3 4/8 and 4/8 can be simplified to 1/2
Answer:
Step-by-step explanation:
Hi! So I am not sure if when you mention for the week if she is talking about the school week(5Days) or a regular week (7 days). So we'll do both.
We know that 4/8 hour can be simplified to 1/2 hour. We also know that 1 hour is 60 minutes ... so 1/2 hour is 30 minutes. This means she reads 30 minutes per day.
School Week: 5 Days
30 minutes x 5 Days = 150 minutes or 2 hours and 30 minutes (2 1/2 hours) (20/8 of an hour)
Regular Week: 7 Days
30 minutes x 7 days= 210 minutes or 3 hours and 30 minutes (3 1/2 hour) (28/8 of an hour)
Please mark me the brainliest or not ! I hope this answers your question
Carla was asked to draw all the lines of symmetry for a regular pentagon. She drew
the picture below. What was Carlas mistake? Explain in detail what she did wrong
and what the correct image would look like.
Answer:
Simple, Her Pentagon is not straight
Step-by-step explanation:
Carla's Pentagon is not straight. Her symmetry line is off scale. Simply fix the Line on the pentagon And it will be correct.
Hope this helps ^
We have that the correct Pentagon should have
Her Pentagon lacks perpendicularity between the two base PointsHer Pentagon lacks perpendicularity between the two middle pointsThe vertical link to the top vertex is not straightSymmetry
This can be defined as an exact correspondence between different part of a system .
Therefore it can be said that Carla's Pentagon lacks Symmetry
Where a
Pentagon
is defined as a a shape with five sides and five angles
In this sense the is absolutely nothing with Carla's Pentagon
But if Carla is going for a pentagon with equal sides and and, Then
Her Pentagon lacks perpendicularity between the two base PointsHer Pentagon lacks perpendicularity between the two middle pointsThe vertical link to the top vertex is not straightFor more information on this visit
https://brainly.com/question/17054992
Which are the partial products for 8x362? Select all that apply.
Answer:
Are you guys classmates?
Drag numbers to show which are closest to ‐1 and ‐14 on the number line.
A number line from negative 1 to 1 in fourths.
Closest to ‐1
Closest to ‐14
The closest number to -1 from the given options is -0.82
The closest number to -1/4 from the given options is -0.28
How to Interpret Number Lines?
A number line is a visual representation of numbers on a straight line. This number line is used to compare numbers that are placed at equal intervals on an infinite line that extends on both sides, horizontally or vertically.
Now, from the number line given we want to find the numbers that are closest to -1 and -1/4.
The closest number to -1 from the given options is -0.82
The closest number to -1/4 from the given options is -0.28
Read more about Number Lines at; https://brainly.com/question/4727909
#SPJ1
Solve for x
x^2-2x-2=0
. Evaluate x2+ 2y÷ 2w+ 3zfor w= -2, x= -5, y= 8, and z= -3
5. Which of the following ways would NOT be a correct way to name this angle?
A. СВА
B. CAB
C. ABC
E. B
Answer:
B
Step-by-step explanation:
DONT DO PART C you do not need to do that one i only need help on A and B please.
Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
x - y = 5 → (1)
4x + y = - 10 → (2)
Rearrange (1) expressing y in terms of x
(a)
y = x - 5 → (3)
Substitute y = x - 5 into (2)
4x + x - 5 = - 10
5x - 5 = - 10 ( add 5 to both sides )
5x = - 5 ( divide both sides by 5 )
x = - 1
Substitute x = - 1 into (3) for corresponding value of y
y = - 1 - 5 = - 6
(b)
As a check
Substitute x = - 1, y = - 6 into the left side of the 2 equations and if equal to the right side then they are the solution
(1 ) x - y = - 1 - (- 6) = - 1 + 6 = 5 ← True
(2) 4x + y = 4(- 1) + (- 6) = - 4 - 6 = - 10 ← True
Thus solution is (- 1, - 6 )
Jazzy goes to bed 3 h after dinner.
Yesterday, she spent 1 1/2 h on her homework and 2/3 h on the telephone after dinner.
How much time does she have before bed time?
PLEASE SHOW YOUR WORK!!!
Answer:
It was easy
Step-by-step explanation:
11 x 2 = 22
3 x 2 = 6
22 x 6 = 132
The time Jazzy has before going to bed is [tex]\frac{5}{6}[/tex] hour
The first step to take in determining the answer is to add the hours she spent on various activities she did after dinner
Sum of activities done after dinner = hours spent on homework + hours spent on the telephone
[tex]1\frac{1}{2}[/tex] + [tex]\frac{2}{3}[/tex]
[tex]1\frac{3 + 4}{6}[/tex]
= [tex]1\frac{7}{6}[/tex]
=[tex]2\frac{1}{6}[/tex] hours
Th second step is to subtract the total hours Jazzy spent on activities from the hours Jazzy has before going to bed after dinner
Time left before she goes to bed = time she has to go to bed after dinner - total hours spent before going to bed
3 - [tex]2\frac{1}{6}[/tex] hours = [tex]\frac{5}{6}[/tex] hour
A similar question was solved here: https://brainly.com/question/18157047?referrer=searchResults