Step-by-step explanation:
Price of 3 kg carrots = 1.80
Price of 1 kg carrots = 1.80 ÷ 3 = 0.6
Price of 2 kg carrots = 0.6 x 2 = 1.2
Remaining amount = 3.45 - 1.2 = 2.25
Price of 5 kg potatoes = 2.25
Price of 1kg potatoes = 2.25 ÷ 5 = 0.45
Now
Cost of 4 kg of carrots = 0.6 x 4 = €2.4
Cost of 2 kg of potatoes = 0.45 x 2 = €0.9
The total cost of 4kg of carrots and 2 kg of potatoes is £3.30
What is the total cost?Total cost is the product of the cost of each unit and the number of units purchased.
As it is given that the cost of 3 kg carrot is £1.80, therefore, the cost of 1 kg of carrot can be written as,
[tex]\text{Cost of 1 kg carrot}=\dfrac{\text{Total cost of carrot}}{\text{Total amount of carrot}}[/tex]
[tex]=\dfrac{\£1.80}{3}\\\\= \£0.60[/tex]
Thus, the cost of 1 kg carrot is £0.60.
Now., as it is given that the cost of 2 kg carrot and 5 kg potatoes is £3.45, therefore, the cost of 5 kg potatoes can be written as,
[tex]\text{Total cost}=\text{Cost of 2 kg carrot}+\text{Cost of 5 kg potatoes}[/tex]
[tex]3.45= (0.60 \times 2) + \text{Cost of 5 kg Potatoes}\\\\\text{Cost of 5 kg Potatoes} = 2.25[/tex]
Further, the cost of each kg of potatoes can be written as,
[tex]\text{Cost of 1kg of potatoes}=\dfrac{\text{Cost of 5 kg Potatoes}}{\text{Total amount of potatoes}}[/tex]
[tex]=\dfrac{2.25}{5}\\\\=0.45[/tex]
Thus, the cost of each kg of potatoes is £0.45.
Further, the total cost of 4kg of carrots and 2 kg of potatoes can be written as,
[tex]\text{Total cost }=\text{Cost of 4kg of carrots} +\text{Cost of 2 kg of potatoes} \\\\\text{Total cost }=(4 \times 0.60)+(2\times 0.45)\\\\\text{Total cost }= 2.24+0.90=\£3.3[/tex]
Hence, the total cost of 4kg of carrots and 2 kg of potatoes is £3.30
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Evaluate223×225Give your answer as a mixed number in its simplest form.
At the bakery shop, each baker works at his or her own speed, making the same number of cakes each day. Marissa makes 28 cakes in 2 weeks, Carlos makes 60 cakes in 20 days, and Shelby makes 5 cakes in 2 days.
When the shop owner graphs the relationship between the number of cakes made and days, who has the steepest graph? Explain.
Answer:
The rate of speed is Carlos
Step-by-step explanation:
M- 28 c in 14 days
C- 60 c in 28 days (2x as much as M)
S- 5 c in 2 days
By showing your working clearly verify if x=19/20is the solution of the equation 2x-3/4=1/3x+5/6
need the answer asap
[tex]2x - \frac{3}{4} = \frac{1}{3} x + \frac{5}{6} \\ = > 2x - \frac{1}{3} x = \frac{5}{6} + \frac{3}{4} \\ = > \frac{6x - x}{3} = \frac{10 + 9}{12} \\ = > \frac{5x}{3} = \frac{19}{12} \\ = > x = \frac{19}{12} \times \frac{3}{5} \\ = > \frac{19}{20} \\ [/tex]
Therefore,
[tex]x = \frac{19}{20} [/tex]
verified.
Hope you could get an idea from here.
Doubt clarification - use comment section.
A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 65% pure antifreeze. The company wants to obtain 195 gallons of a mixture that contains 20% pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?
Answer:
Five Gallons Of Water
Step-by-step explanation:
If u mixed it to Antifreeze And U have A Premium Solution U can Mixed it
Multiply the monomials:
(3/4)pq, (1/2)qr^2, -5q^2r^3 and -6r^5
Given monomials are (3/4)pq , (1/2)qr² , -5p²r³ and -6r⁵
On multiplying them then
⇛ [(3/4)pq]×[(1/2)qr²]×[-5p²r³]×[-6r⁵]
⇛ [(3/4)×(1/2)×(-5)×(-6)]×(pq×qr²×p²r³×r⁵)
⇛[(3×1×-5×-6)/(4×2)](p×p²)×(q×q)×(r²×r³×r⁵)
⇛ (90/8)×p³×q²×r¹⁰
Since a^m × a^n = a^(m+n)
⇛ (45/2)×p³×q²×r¹⁰
⇛( 45/2 ) p³q²r¹⁰
Answer:- [(3/4)pq]×[(1/2)qr²]×[-5p²r³]×[-6r⁵] = (45/2)p³q²r¹⁰
22 of the 30 students in Evan's grade have a pet. What is the ratio of the number of students who do not have a pet to the number of students who have a pet?
Answer:
8 to 22
Step-by-step explanation:
if there are 22 people that have a pet whens there is 30 students in total, you have to do, 30-22, and 30-22=8 meaning there are 8 students who don't have pets.
And if already says 22 students have pets, therefore the answer is
8 to 22
8:22
Joshua found out that there is a$25 nonrefundable equipment fee in addition to the hourly rates. How does this requirement change the mathematics of the situation?
Answer:
Y=hx+25
Step-by-step explanation:
y=total price paid
h=hourly rate
x=number of hours
25=inital fee
0.25(x + 4) - 3 = 28
Answer:
x = 120
Step-by-step explanation:
0.25(x + 4) - 3 = 28
Multiply 0.25 into the parenthesis
0.25x + 1 - 3 = 28
Combine like-terms
0.25x - 2 = 28
Add 2 to both sides
0.25x = 30
Divide both sides by 0.25
x = 120
The table shows the heights y (in centimeters) of a plant after x weeks. How many centimeters does the plant grow in one week?
Table:
x: 0, 6, 12
y: 20, 29, 38
Answer:
29/6 = 4.83.. or 4.8
George has $3 in his savings account. He then adds $4 per day to the account. Let y represent the total amount in the account after x days.
Which equation represents this situation in the form of y=mx+b ?
Question 9 options:
y = 4x + 3
y = 3x + 4
y = 3/4x - 3
y = 4/3x - 4
Answer:
The answer is the 1st option, y = 4x + 3
Step-by-step explanation:
x is the amount of days that the 4 dollars will be multiplied by
( 4 * x )
The + 3 is the money that George already had in his savings account, so that money will be added to the total amount in his savings account.
( 4x + 3 )
Lastly, the y stands for the total amount of money in his savings account so the answer is the 1st option.
y = 4x + 3
Hope this helps! :)
Henry can write 5 55 pages of his novel in 3 33 hours.how many pages can Henry write in 8 88 hours?
If x = 4 and y = -2, the value of 1/2 xy2 is
Answer:
8
Step-by-step explanation:
Substitute the given values into the expression
[tex]\frac{1}{2}[/tex] xy²
= [tex]\frac{1}{2}[/tex] × 4 × (- 2)²
= 2 × 4
= 8
which multiplication can be used to explain the solution to 15 divided by one over 3
Answer:
3x5=15
5x3=15
Step-by-step explanation:
The rainfall recorded in a certain city is given below. Calculate the average rainfall. 2.54 cm, 1.75 cm, 3.05 cm, 5.00 cm, 3.72 cm and 4.34 cm.
if you answer then i will mark you brainliest!!!
Answer:
3.4 cm
Step-by-step explanation:
average is the sum of all the values then divided by the number of values.
The average rainfall for the given values is 3.40 cm while The rainfall recorded in a certain city.
The average rainfall can be calculated by adding up all the recorded rainfall values and then dividing the sum by the number of values.
Let's calculate the average rainfall for the given values: 2.54 cm, 1.75 cm, 3.05 cm, 5.00 cm, 3.72 cm, and 4.34 cm.
Step 1: Add up all the values: 2.54 cm + 1.75 cm + 3.05 cm + 5.00 cm + 3.72 cm + 4.34 cm = 20.40 cm
Step 2: Divide the sum by the number of values (which is 6 in this case): 20.40 cm / 6 = 3.40 cm
Therefore, the average rainfall for the given values is 3.40 cm.
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A national survey of middle schoolers ask,”how many hours a day they spend doing their homework?which statement best represents the population?
Answer:
5 hours at least, 10 at most
Step-by-step explanation:
Mathematics 14 question don’t understand
Answer:
1/3^32
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
a^-b = 1/a^b
__
Your expression simplifies as follows:
[tex](3^4)^{-8}= 3^{4(-8)}=3^{-32}=\boxed{\dfrac{1}{3^{32}}}[/tex]
Paul has thirteen coins in his piggy bank. Some of the coins are quarters, some are nickels, and he has a total of $3.55. Which system of equations can be used to determine how many quarters, x, and how many nickels, y, he has?
A.
x + y = 13
0.25x + 0.5y = 3.55
B.
x + y = 13
0.25x + 0.05y = 3.55
C.
x + y = 13
25x + 5y = 3.55
D.
x + y = 3.55
0.25x + 0.05y = 13
Answer:
The answer is B
Helppppp, please look at the question
A train travels at a rate of 150 mph on a flat
plain. How long did it take the train to get from a
distance of 68 miles to 222 miles on its journey?
Answer:
61 minutes and 36 seconds
Step-by-step explanation:
150 mph is equal to 2.5 miles per minutes divide miles by 2.5
In order to verify the equation sin (θ +π/4) =-cosθ. What value would you need to know besides sin (π/4)?
Group of answer choices
a cos (π/4)
b sin (2π/3)
c tan (2π/3)
d cos ((-π)/3)
Answer: A cos (π/4)
I just took a test with this question and got it right
Simplify 3x + 5y + 2x – 4y
Answer:
5x + yStep-by-step explanation:
3x + 5y + 2x – 4y=> 5x + yConclusion:
Therefore:
5x + yHoped this helped.
[tex]GeniusUser[/tex]
The simplified form of the given expression is 7x+y.
The given expression is 3x+5y+2x-4y.
An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Group the like terms and simplify, we get
(3x+2x)+(5y-4y)
= 7x+y
Therefore, the simplified form of the given expression is 7x+y.
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35% of (blank) days is 7 days
Answer:
2.45 days.
Step-by-step explanation:
35% of 7 days is 2.45 days :) please thank.
This should be 20.
50% of 20 is 10. If you subtracted 15% from 10, you would get 3 which then makes it 7. Therefore, 35% of 20 days is 7 days.
(PLS HELP) The proportional relationship between the number of inches a candle has burned away, b, at any time in hours, t, can be represented by the equation b=1.75t. At what rate does the candle burn, in inches per hour?
Answer:
candle burns 1 inch every 1 3/4 hours or 1 inch every 1 hour, 45 minutes
Step-by-step explanation:
I need to solve for G in the following equation
HEEEELLLPPPP PLLEEASSSEE!!! ASAP
Solve for x 18 Х 16 24 0 15 O 12 0 24 o 17
Answer:
Look it up
Step-by-step explanation:
solve the following methods
don't know when you find out tell me
Marielle was in an accident. She was traveling down a road at
36 mi/h when she slammed on her brakes. Her car left two skid
marks that averaged 50ft in length with a difference of 4ft between
them. Her brakes were operating at 80% efficiency at the time of the
accident.
a. What was the possible drag factor of this road surface?
b. What were the lengths of each skid mark?
Answer:
a.?????
b.52 ft. and 48 ft.
what is the greatest common factor for 228/252
Answer:
i got 47/88
Step-by-step explanation:
Divide each number by two
Snefuru’s north pyramid at Dahshur, Egypt, is shown. It’s square base has a side length of 220 m. The height of the pyramid is 105 m. Determine it’s surface area.
The answer is 115,324 m^2, show how you got your answer please. :))
Answer: 115,324 m^2
Step-by-step explanation:
To find the surface area, we need height of the triangle face of the pyramid. We are given the height of the pyramid itself (105 m). To find the height of the triangle face, we have to use the Pythagorean theorem (a^2 + b^2 = c^2).
In the diagram attached, the height of the triangle face is the hypotenuse of the blue triangle: 110^2 + 105^2 = c^2 where c = about 152 m (ROUNDED)
Now that we have the height of the triangle face, we can use the triangle area formula: 1/2(base)(height) to find the area of one of the triangle faces.
1/2 (220)(152) = 16,720 m^2
Since there are four triangle faces, we need to multiply this number by four.
16,720(4) = 66880 m^2.
Now we just have to add this to the area of the square base which is:
(220)(220) = 48400 m^2
66880 + 48400 = 115,200 m^2 (which is very close to the answer provided - if 152 wasn't rounded, 115,324 would be your answer)