[tex]\bold{\huge{\blue{\underline{ Solution }}}}[/tex]
Given :-Ellis buy 24 cans of soda in packs of 6 soda cansEach pack (Contains 6 soda cans) cost £1.80Connor buys 24 cans of soda in packs of 8 soda cans Each pack ( Contains 8 soda cans) cost £2.10To Find :-We have to find out that how much more Ellis has to pay for soda cans than connor? Let's Begin :-Ellis bought total 24 soda cans but in packs
Each pack contain 6 cans
Therefore,
Total packs bought by Ellis
[tex]\sf{ = }{\sf{\dfrac{ 24}{6}}}[/tex]
[tex]\sf{ = 4 \: packs }[/tex]
Ellis bought 4 packs of soda cans
The cost of 1 pack = £1.80So,
Total cost paid by the Ellis
[tex]\sf{ = 4 {\times}{\pounds} 1.80 }[/tex]
[tex]\sf{ = {\pounds}7.20 }[/tex]
Thus, The total cost paid by Ellis is £7.2
Now,Connor also bought 24 cans of soda but in packs
Each pack contain 8 soda cans
Therefore,Total packs bought by Connor
[tex]\sf{ = }{\sf{\dfrac{ 24}{8}}}[/tex]
[tex]\sf{ = 3 \: packs }[/tex]
Connor bought 3 packs of soda cans
The cost of 1 pack = £2.10So,
Total cost paid by the Connor
[tex]\sf{ = 3 {\times}{\pounds}2.10 }[/tex]
[tex]\sf{ = {\pounds}6.30 }[/tex]
Thus, The total cost paid by connor is £6.30
From Above we can conclude that,
Ellis had paid more than connorThat is,
Ellis had to pay more than connor by
[tex]\sf{ = 7.20 - 6.30 }[/tex]
[tex]\sf{ = {\pounds}0.90}[/tex]
Hence, Ellis paid more than connor by £0.90.
How to solve?somebody help and explain
f(x) = 2x
g(x) = 8a
Find (f.g)(x). Assume x 20.
A. (fºg)(x) = 8x
B. (fºg)(x) = V10x
V
C. (fºg)(x) = 412
O D. (f.g)(x) = 4x
Answer:
whats the exact question screen shot it but i think *{{76 you have to {{ it since its a ombre
Step-by-step explanation:
Six gallons of water splashed out of the wading pool when Santa jumped in. Five gallons splashed out when Mrs. Claus jumped in beside Santa. What number should be added to the original amount in the pool to find how many gallons are left?
Answer:
x + (-11)
Step-by-step explanation:
so you lost the 6 gallons and 5 gallons. so to find the original amount (I will use x). you need to subtract it from the amount. but since you are being asked to add. you use a negative
x + (-6) + - (5)
or you can combine
x + (-11)
it is equivalent to
x - 11
The radius of a circle is 1 mile. What is the circle's circumference? r=1 mi Use 3.14 forn.
Answer:6.28 miles
Step-by-step explanation:
The circumference of a circle = 2*pi*radius
= 2*1 mile* 3.14
= 6.28 miles
CAN SOMEONE PLEASE HELP
i think the right answer is 4
Please can anyone help me it's ur thinking
Answer:
Step-by-step explanation:
We simplify 16x - 12 - 24x + 4 as -8x - 8
1. 4+16x - 12(1+2x)
Break the bracket out, we get : 4+16x-12+24x
Simplify : -8 + 40x, not equivalent to -8x - 8.
2. 40x - 16
Divide this by 5, we get : 8x - 3.2 = -8x + 3.2 (not equivalent also.)
3. 16x - 24x - 4 + 12
Simplify : -8x + 8 (also not equivalent)
4. -8x-8
It's literally the same as the simplified form of the expression.
So, only the fourth expression is equivalent to the original one.
The table shows the prices for Two packs of batteries which park is better buy explain your reasoning
Answer:
A=0.61:1 B=0.65
Step-by-step explanation:
B is the better deal.
help solve please i will mark as brainliest
Answer:
4736 feet
(48×32/2)×2
(40×40)×2
An armchair was purchased for a cost price of $380 and marked up to a retail price. It was then
discounted by 10% to a sale price of $427.50 . What is the percentage mark-up from the cost price
to the retail price?
Answer:
17.764% up
Step-by-step explanation:
i hope this helped
The required percentage markup from the cost price to the retail price is 1.25%.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
An armchair was then discounted by 10% to a sale price of $427.50.
Cost of armchair then = 427.50 - 10% × 427.50
The cost of the armchair then = $384.75.
Now, the cost of the armchair is given $380.
Percentage mark up is given as = 387.75 - 380 / 380 × 100% = 1.25%
Thus, the required percentage markup from the cost price to the retail price is 1.25%.
Learn more about percentages here:
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Which is the correct formula to find the area of triangle AED?
area of a triangle = 1/2 • CD • AE
area of a triangle = 1/2 • AE • DE
area of a triangle = 1/2 • CE • AE
area of a triangle AED = AE • AE
Please help! I will reward brainliest for the right answer ^^
Answer:
area of ΔAED = 1/2 · AE · DE
Step-by-step explanation:
Area of a triangle = 1/2 x height x base
From inspection of the diagram for triangle AED:
height = AEbase = DETherefore, area of ΔAED = 1/2 · AE · DE
6 more than the square of r is same as 33 .
Answer:
r^2+6=33
Step-by-step explanation:
The square of r means r^2 and 6 more means +6, so r^2+6=33
Can u help me plssss?
Answer:
You need to find the area of this shape. You will split the shape into 2 the big rectangle and the small one sticking out of the bottom.
For the first shape, it is 11 x 3 = 33
For the second one, it is 2 x 3 = 6
33 + 6 is 39, so the area is 39
19. Write an equation to represent the relationship
between x, the independent variable and y, the
dependent variable I need the equation
Answer:
y = x +3
Step-by-step explanation:
When you examine the table, you see that each y-value is 3 more than the corresponding x-value. This is represented in the equation ...
y = x +3
After lunch.my family has 1/8 of a pizza left. If I took half of the leftovers for my snack, what fractional part of the pizza is left?
Answer:
-0.875 that is the answer
Step-by-step explanation:
(1/8)-1=-0.875 that's the answer
Choose the compound inequality that can be used to solve the original inequality |3x – 5| > 10. –10 < |3x – 5| < 10 3x – 5 > –10 or 3x – 5 < 10 3x – 5 < –10 or 3x – 5 > 10 –10 < 3x – 5 < 10.
The compound inequality solving original inequality |3x – 5| > 10 is given by: Option C: [tex]3x - 5 < -10[/tex] or [tex]3x -5 > 10[/tex]
What is magnitude and sign?A number has both magnitude(its absolute value) and its sign(positive or negative).
If numbers are negative, the more their magnitude increases, the lesser they become.
If numbers are positive, the more their magnitude increases, the greater they become.
Thus, for -5, the magnitude is 5, and sign is –ve.
Also, positive numbers > 0 > negative numbers.
|x| = magnitude of x.
Thus, |3x-5| > 10 is true if (3x-5) < -10 (since in that case, 3x-5 is negative but in negative signed values, values with more magnitude are smaller. Thus |3x-5| > |-10} = 10)
or (3x-5) > 10
(in case if (3x-5) is non-negative).
Thus, the compound inequality solving original inequality |3x – 5| > 10 is given by: Option C: [tex]3x - 5 < -10[/tex] or [tex]3x -5 > 10[/tex]
Learn more about compound inequalities here:
https://brainly.com/question/4688732
Answer:
it’s C trust me
Step-by-step explanation:
What is the value of 1500 ÷ (62 + 4 ) · 37
Answer: 27750/31
Step-by-step explanation:
We first solve for what's in the parenthesis.
= 1500/66*37
Next we do division.
= 750/31*37
Lastly we do multiplication.
= 27750/31
Answer:
0.61425061425
Rounded: 0.61
Step-by-step explanation:
Following PEMDAS
(62+4)=66
66 times 37= 2442
1500 divided by 2442
Find the difference (6x^3-5x^2+14x+3) — (3x^3–2x^2+7x—2)
Tell how much each person gets when they share equally.
3 friends share 5 pounds of trail mix.
Answer:
1.7 pounds each friend gets
Step-by-step explanation:
[tex]3 \: friends \: share \: 5 \: pounds \: of \: trail \: mix \\ 5 \: pound \: \div 3 \\ = 1.66666666666 \\ approximately \\ = 1.7(to \: 1 \: decimal \: place[/tex]
The points (0,5) and (1.8) fall on a particular line. What is its equation in slope intercept form?
y = mx + b
y = y coordinate
m = slope
x = x coordinate
b = y intercept
Baruti, a ranger in Kruger National Park in South Africa, collected data about the elephant population in the park. She compared the foot lengths of the elephants and their shoulder height (both in centimeters) and created the following scatter plot. A line was fit to the data to model the relationship.
10
10
20
20
30
30
40
40
50
50
40
40
80
80
120
120
160
160
200
200
240
240
280
280
320
320Shoulder height (cm)Foot length (cm)
Which of these linear equations best describes the given model?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
y
^
=
6
x
−
20
y
^
=6x−20y, with, hat, on top, equals, 6, x, minus, 20
(Choice B)
B
y
^
=
6
x
+
20
y
^
=6x+20y, with, hat, on top, equals, 6, x, plus, 20
(Choice C)
C
y
^
=
3
2
x
−
20
y
^
=
2
3
x−
The linear function that best represents the relationship between the foot lengths of the elephants and their shoulder height is given as follows:
y = 5.71x - 5.65.
How to obtain the linear function?The slope-intercept definition of a linear function is presented as follows:
y = mx + b.
In which the coefficients of the function are defined as follows:
m is the slope, representing the rate of change of the output y relative to the input x.b is the y-intercept, representing the numeric value of y when x = 0.From the image given at the end of the answer, two points of the line are given as follows:
(15, 80) and (50, 280).
Given two points, the slope is obtained as the change in y divided by the change in x, hence:
m = (280 - 80)/(50 - 15) = 5.71.
Hence:
y = 5.71x + b.
When x = 15, y = 80, hence the intercept b is obtained as follows:
80 = 5.71(15) + b
b = 80 - 5.71(15)
b = -5.65.
Hence the equation is given as follows:
y = 5.71x - 5.65.
Missing InformationThe graph is given by the image shown at the end of the answer.
More can be learned about linear functions at https://brainly.com/question/24808124
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Find the area of a rectangle with sides of x – 1 and x.
Answer:
A = x² - xStep-by-step explanation:
Find the area of a rectangle with sides of x – 1 and x.
A = w × l
A = x-1 × x
A = x² - x
HELP!! DUE TODAY!!!! 10 Points.
Answer:
Tyra can make 54 batches of cookies
sorry if I'm wrong
Step-by-step explanation:
Jake wants the profile of a hotel he is planning to be a right triangle with the dimensions shown. The city prohibits structures over 100 ft at the location where he would like to build. Can the hotel be located there? Explain
The height of the building is 96 ft., hence the building can be located there.
Sine ruleSine rule is used to show the relationship between the sides and angles of a triangle it is given by:
a / sin(A) = b / sin(B) = c / sin(C)
A, B, C are the angles and a, b, c are the sides opposite the respective angles.
Let A represent the angle opposite side 120 ft., hence:
120/sin(A) = 200/sin(90)
A = 36.9°
Let h represent the height of the building, hence:
h / sin(36.9) = 160 / sin(90)
h = 96 feet
The height of the building is 96 ft., hence the building can be located there.
Find out more on Sine rule at:https://brainly.com/question/4372174
Guys helpp!
Choose the first step to Graph The equation Y equals 3x +2
What is the solution to the system of equations?
y=2x-7
y=-x+5
Answer:
(4, 1 )
Step-by-step explanation:
y = 2x - 7 → (1)
y = - x + 5 → (2)
substitute y = 2x - 7 into (2)
2x - 7 = - x + 5 ( add x to both sides )
3x - 7 = 5 ( add 7 to both sides )
3x = 12 ( divide both sides by 3 )
x = 4
substitute x = 4 into either of the 2 equations
substituting into (2)
y = - 4 + 5 = 1
solution is (4, 1 )
Howard slept from 9 PM until 6 AM the next morning how many minutes did he sleep
Answer:
540min
Step-by-step explanation:
he slept for 9 houres so convert that to minutes.
A prism with a base area of 3 m² and a height of 4 m is dilated by a factor of 32. What is the volume of the dilated prism? Enter your answer, as a decimal, in the box. M³.
The volume of the dilated prism when the dimensions are dilated by a factor of 32 is 393,216 m³.
What is dilation?Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.
Given
A prism with a base area of 3 m² and a height of 4 m is dilated by a factor of 32.
The area after the dilation.
Dilated area = (Dilation)² x base area
Dilated area = 32² x 3
Dilated area = 3072 m²
The height after the dilation.
Dilated area = Dilation x base area
Dilated area = 32 x 4
Dilated area = 128 m
The volume of the dilated prism.
Volume = 3072 x 128
Volume = 393216 m³
The volume of the dilated prism is 393,216 m³.
More about the dilation link is given below.
https://brainly.com/question/8652140
Answer:
40.5
Step-by-step explanation:
The person who commented on the first answer is correct. I took the quiz.
:)
Help!!! A business can manufacture 50 unicycles a week and sell all of them for $200 each. The owner is considering increasing the price of the unicycles, but she knows that it will decrease sales. She uses this equation to estimate how much in dollars, y, she will make if she raises the price by x dollars:
y=10,000+50x−x^2
If she wants to make $10,6000, what is the least amount she can raise the price of each unicycle?
=====================================================
Explanation:
I'm assuming you meant to write $10,600 instead of $10,6000.
We'll replace y with this value and solve for x.
[tex]y=10,000+50x-x^2\\\\10,600=10,000+50x-x^2\\\\0=10,000+50x-x^2-10,600\\\\-x^2+50x-600 = 0[/tex]
Use the quadratic formula with a = -1, b = 50, c = -600
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-50\pm\sqrt{(50)^2-4(-1)(-600)}}{2(-1)}\\\\x = \frac{-50\pm\sqrt{100}}{-2}\\\\x = \frac{-50\pm10}{-2}\\\\x = \frac{-50+10}{-2} \ \text{ or } \ x = \frac{-50-10}{-2}\\\\x = \frac{-40}{-2} \ \text{ or } \ x = \frac{-60}{-2}\\\\x = 20 \ \text{ or } \ x = 30\\\\[/tex]
We go for the smaller x value because the question asks "what is the least amount she can raise the price?".
If she raises the price by $20, then she would estimate to make about $10,600.
I need help please , help me :(((
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nah
The difference of 16 and a number, divided by 2
Answer:
8
Step-by-step explanation:
Answer:
16 - x ÷ 2(16 - x) ÷ 216 - (x ÷ 2).Step-by-step explanation:
Difference meaning (Math):
Subtracting 2 numbers.If that's the meaning, equation should be:
16 - x ÷ 2.Remember:
Parenthesis are sometimes required.(16 - x) ÷ 216 - (x ÷ 2).