Answer:
The discount is 4584.375 p.
Step-by-step explanation:
Given : The oil tank can take up to 1200 litre of oil. There are already 450 litres of oil in the tank.
The price of oil is 81.5p per litre . As a loyal customer, Mr Leonard gets a 7.5% discount on the price of the oil.
To find : How much discount does Mr Leonard get on this purchase?
Solution :
First we find out the number of litre required in the tank
Total capacity of tank = 1200 litre of oil
There are already 450 litres of oil in the tank.
The required oil is = 1200 L – 450 L = 750 L
The price of oil is 81.5 p per litre.
i.e, 1 liter oil price is = 81.5 p
For 750 liter oil price is = [tex]81.5\times 750=61125p[/tex]
There is 7.5% discount on the price of oil.
i.e, [tex]61125\times\frac{7.5}{100}=4584.375[/tex]
The discount is 4584.375 p.
The discount Mr Leonard receives on his purchase is £45.84.
What is a discount?A discount is a reduction in the price of a good or service. After a discount, the price of an item becomes cheaper.
What is the discount on the purchase?Quantity of oil that would be bought = capacity of the oil tank - oil already in the tank
1200 - 450 = 750 liters
Total cost of the 750 liters = total liters to be bought x cost per liter
750 x 81.5 = 61,125 p =£611.25
Value of the discount = 7.7% x £611.25 = £45.84
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which expression is the same as 2(n+7)
ana hikes at a constant speed.She travels 6 miles in 2 hours. Find her speed in miles per hour.Use it to write an equation for the distance ,d, that ana travels in h hours.
Answer:
6mi=2hours
3mi=1hour
so she can go 3mph
Solve for x, show all your work:
x3 = 10
What are the length and width of a rectangle if the length exceeds the width by 75 inches and the perimeter is 158 inches
Which word completely describes the rhombus?
A.equilateral
B.equiangular
C.regular
Modeling with systems of linear inequalities
Modeling with systems of linear inequalities involves using multiple linear inequalities to represent constraints and solve problems with multiple variables. We can graph the inequalities on a coordinate plane and find the feasible region, which represents all the solutions that satisfy the constraints.
Explanation:Modeling with systems of linear inequalitiesModeling with systems of linear inequalities is a mathematical concept that involves using multiple linear inequalities to represent constraints in a real-world situation. This allows us to model and solve problems involving multiple variables and constraints, such as optimizing profit or finding feasible solutions.
Here's an example:
Let's say we have two variables, x and y, representing the number of units of two products.We also have two inequalities, 2x + 3y <= 10 and x + y >= 4.These inequalities represent constraints on the production and sales of the products.To model this situation, we graph the two inequalities on a coordinate plane.The feasible region, the area where the shaded regions of both inequalities overlap, represents the set of solutions that satisfy all the constraints.We can then use this model to analyze and solve various problems, such as finding the maximum profit by maximizing a certain objective function within the feasible region.Learn more about Modeling with systems of linear inequalities here:https://brainly.com/question/34246005
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81 is 54% of what number
Please figure this out and show your work
What is the negative reciprocal of – ¾ ?
Answer: 4/3
Step-by-step explanation: When we use the word "negative reciprocal",
it's just a fancy way of saying flip the fraction and change the sign.
So the negative reciprocal of -3/4 is 4/3.
If a ball rotates through 110 degrees in 8 seconds, how many rotations does it make in 32 seconds
Find an equivalent mixed number for the decimal number 2.64
A. 2 32/100
B. 2 64/50
C. 2 37/50
D. 2 16/25
Answer:
d) 2 16/25
Step-by-step explanation:
Now we have to,
→ convert into mixed fraction.
Let's solve the problem,
→ 2.64
→ (264/100)
→ 2 64/100
→ 2 16/25
Hence, option (d) is correct.
which two square roots are used to estimate 47
The two square roots used to estimate the number 47 are 6 and 7, because their squares, 36 and 49 respectively, are the nearest perfect squares to 47.
Explanation:The problem is asking for the two square roots used to estimate the number 47. To solve this, think of two perfect squares that are the closest to 47. Those would be the squares of 6 and 7, because 62 equals 36 and 72 equals 49, which are the closest perfect squares to 47. So, we would use 6 and 7 to estimate the square root of 47.
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To graph the equation 2x + 5y = 10, Zeplyn draws a line through the points (5, 0) and (0, 2). What is the slope of the line represented by 2x + 5y = 10?
It's B
just took test
The equation of the line passing through points (5, 0) and (0, 2) is y = -2/5x + 2 and slope is -2/5.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given equation is 2x + 5y = 10.
We have to change this equation to slope intercept form
Isolate the term y from the equation
Subtract 2x from both sides
5y = -2x + 10
Divide both sides by 5
y = -2/5x + 2
the slope will be -2/5
Hence, the equation of the line passing through points (5, 0) and (0, 2) is y = -2/5x + 2 and slope is -2/5.
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a man drove to work at an average rate of speed 60 miles per hour and
returned over thesame route driving at an average rate of speed of 40 miles per hour. If his total driving time was 1 hour, what was the total number of miles in
the round trip?
let x = miles
we have x miles/ 60mph plus x miles / 40 mph = 1 hour
x/60 + x/40 = 1
we need to calculate 2x for the round trip
calculate common denominator and rewrite the 2 fractions:
2x/120 + 3x/120 = 1
5x= 120
x = 120/5 = 24 miles
24*2 = 48 miles total
check:
1 way would be 48/2 = 24 miles
24/60 = 0.4 hours to drive 24 miles at 60 mph
24/40 = 0.6 hours to drive 24 miles at 40 mph
0.6 +0.4 = 1 hour
In a particular card game, the minimum score a player can achieve in a single game is 20, and the maximum score possible in a single game is 52. If a player plays three games and scores a total of 141 points, what is the least number of points that the player could have scored in one of the games?
Find the orthocenter of ABC
Answer:
(7,3)
Step-by-step explanation:
Haley is considering two gym membership plans. The plans are detailed here. Plan one $50 for a monthly pass and a $3 fee for each gym visit plan to $10 for each gym visit what is a system of equations that represents the cost of the plans?
The two situations can be represented as C(x) = 3x + 50 and C(x) = 10x.
What is the graphical solution of a system of equations?Graphical solutions of a system of equations are way of finding the intersection points of all the equations given.
A system with two or more than two equations has a solution only when they have a common intersection point.
Let the no. of gym visits be 'x' and the total cost be C(x).
Given, Plan one $50 for a monthly pass and a $3 fee for each gym visit.
∴ C(x) = 3x + 50.
Plan two $10 for each gym visit.
∴ C(x) = 10x.
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Which measure is equivalent to 1.5 kg?
A 15 g
B 150 g
C 1500 g
D 15,000 g
The answer would be 1500g.= 1.5 kg.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, given that,
weight= 1.5 kg.
since there are 1000 grams in a kilogram.
For every,
1 kilogram there's 1000 grams
so, if you were to have 1.5 kilograms you'd have
1,500 grams.
500 is half of 1000 so if you have a 0.5 you'd have 500 grams
which you would then add 500 to 1000 which would result 1500.
Hence, the answer is 1.5 kg= 1500.
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What is the factored of the expressions 3×2+8×-16
What is the slope of the line?
y = 5 + 4x
Question 5 options:
a) 5
b) 9
c) 1
d) 4
The answer is to your question is B)4. Its y=mx+b and m is your slope and 4 is thw m.
Three different hoses, each with its own pump, can be used to fill a swimming pool. If hose A is used by itself, the pool takes 6 h to fill. Is hose B is used by itself, the pool takes 3 h to fill. If hose C is used by itself, the pool takes 2 h to fill. If all three hoses are used at the same time, how long does the pool take to fill?
3. The three salespeople for a local advertising firm are Lola, Ahmed, and Tommy. Lola sold $2030 in ads, Ahmed sold $1540, and Tommy sold $1800.
(a) What fraction of the total sales did each salesperson sell?
(b) A $100 bonus was awarded to the three salespeople, which they had to share. It was awarded so that each salesperson received the same fraction of $100 as he or she sold of the total sales. How much did each person receive? Round to the nearest
answer a and b
A musician's hair was originally 3 inches long.She asked her hair dresser to cut 5/6 of it off.How many inches did she have cut off?
URGENT WILL MARK BRAINLIEST!
Starting at sea level, a submarine descended at a constant rate to a depth of −4/5 mile relative to sea level in 3 minutes.
What was the submarine's depth relative to sea level after the first minute?
Simplest form please!
plot -2 1/2 and 1 3/4 on a number line
To plot -2 1/2 and 1 3/4 on a number line, draw a line with zero at middle. Move 2.5 units to the left from zero for -2 1/2 and place a dot. Then, move 1.75 units to the right from zero for 1 3/4 and place a dot.
Explanation:To plot the numbers -2 1/2 and 1 3/4 on a number line, you first need to understand that these are mixed numbers. -2 1/2 means "two and a half units to the left of zero", whereas 1 3/4 means "one and three quarters units to the right of zero".
Step 1: Draw a number line with zero in the middle. Include distance markers each representing 1 unit. For the purpose of this exercise, let's say negative numbers are on the left and positive numbers are on the right.
Step 2: To plot -2 1/2, start at 0 and move 2.5 units to the left (-2 for the whole number and -0.5 for the fractional part). Place a point here.
Step 3: To plot 1 3/4, start at 0 and move 1.75 units to the right (+1 for the whole number and +0.75 for the fractional part). Place a point here.
This is how you plot the numbers -2 1/2 and 1 3/4 on a number line.
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A sweater is marked down $25 to $19 what is the percent of change
To solve the problem we must know about Percentage.
PercentageA percentage is a way to describe a part of a whole. such as the fraction [tex]\bold{\dfrac{1}{4}}[/tex] can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given to us
A sweater is marked down $25 to $19AssumptionLet the x% be the remaining amount.
Remaining Amountx% of $25 = $19
[tex]\dfrac{x}{100} \times \$25 = \$19\\\\\dfrac{x}{100} \times 25 = 19\\\\\dfrac{x}{4} = 19\\\\x = 19\times 4\\x = 76[/tex]
Thus, $19 is 76% of $25.
Percent of changethe percent of change = Orignal percentage - final percentage
= 100% - 76%
= 24%
Hence, the percentage change is 24%.
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What is the slope-intercept form of the linear equation 2x–8y=32 ?
What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box. (Graph is on picture)
Which equation shows y=3/4x-5/2 in standard form?
A. 3x−4y=10
B. 3x−4y=−10
C. 4x−3y=10
D. 4x−3y=−10
1. The slope-intercept form of the linear equation [tex]\(2x - 8y = 32\)[/tex] is [tex]\(y = \frac{1}{4}x - 4\).[/tex]
2. The equation of the graphed line is [tex]\(y = -\frac{9}{8}x + 7\).[/tex]
3. The standard form of [tex]\(y = \frac{3}{4}x - \frac{5}{2}\)[/tex] is option A: [tex]\(3x - 4y = 10\).[/tex]
Let's break down the given information step by step:
1. Slope-Intercept Form of the Linear Equation:
- The given equation is 2x - 8y = 32.
- To express it in slope-intercept form (y = mx + b), we need to solve for y:
2x - 8y = 32
-8y = -2x + 32
[tex]y = \frac{1}{4}x - 4[/tex]
Therefore, the slope-intercept form of the given equation is [tex]\(y = \frac{1}{4}x - 4\)[/tex].
2. Equation of the Graphed Line:
- The graphed line has the equation [tex]\(y = -\frac{9}{8}x + 7\)[/tex].
3. Standard Form of [tex]\(y = \frac{3}{4}x - \frac{5}{2}\)[/tex]:
- We want to express [tex]\(y = \frac{3}{4}x - \frac{5}{2}\)[/tex] in standard form (Ax + By = C).
- Multiply both sides of the equation by 4 to get rid of fractions:
4y = 3x - 10
3x - 4y = 10
Therefore, the standard form of [tex]\(y = \frac{3}{4}x - \frac{5}{2}\) is \(3x - 4y = 10\)[/tex].
Given this information, the correct answer is A. 3x − 4y = 10.
Set up the equation
The product of a number(variable) and 4 increased by 16 is -2
Mate weighed each of his cats. He found that Betty weighed 1 1/4 kilograms, Fido weighed 2 kilograms, Spot weighed 1 5/8 kilograms, Yogi weighted 3 4/9 kilograms, and Smart weighed 4 1/10 kilograms
What was the weight of Nate’s heaviest cat?
The weight of Nate’s heaviest cat is:
4 1/10 kilograms=4.1 kilograms ( Smart)
Step-by-step explanation:Weight of Betty is:1 1/4 kilograms which in decimals is: 1.25 kilograms.
Also,
Weight of Fido is:2 kilograms
Weight of Spot is:1 5/8 kilograms which in decimals is: 1.625 kilograms
Weight of Yogi is:3 4/9 kilograms which in decimals is: 3.444 kilograms
Weight of Smart is:4 1/10 kilograms which in decimals is: 4.1 kilograms
Hence, we observe that Smart weight is highest amongst the weight of the other cats.
There are 64 teams in a basketball tournament each team has 14 players. How many basketball players in all are in the tournament