A is 16 and B is 28.
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given
A:B = 4:7
A + B = 44
Let the common factor between A and B is x
then
4x + 7x = 44
11x = 44
x = 4
Therefore,
A = 16
B = 28
Hence, 16 and 28 are A and B respectively.
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Which set of coordinates does NOT represent a function?
A merchant wishes to blend 200 pounds of coffee worth $3.20 a pound from two mixtures: one at $3.00 a pound and the other at $3.25 a pound. How many pounds of each mixture should he use?
To create the ideal blend, the merchant should combine 40 pounds of coffee worth $3.00 per pound and 160 pounds of coffee worth $3.25 per pound.
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Let's call the amount of coffee worth $3.00 per pound "x" and the amount of coffee worth $3.25 per pound "y".
We know that the total amount of coffee is 200 pounds, so we can write the equation:
x + y = 200
We also know that the total cost of the coffee is $3.20 per pound times 200 pounds, or $640. So we can write another equation based on the cost:
3.00x + 3.25y = 640
Now we have two equations with two variables, so we can solve for x and y.
Let's start by solving for x in the first equation:
x + y = 200
x = 200 - y
Now we can substitute this expression for x into the second equation:
3.00x + 3.25y = 640
3.00(200 - y) + 3.25y = 640
600 - 3.00y + 3.25y = 640
0.25y = 40
y = 160
So we know that the merchant needs to use 160 pounds of coffee worth $3.25 per pound.
We can use the first equation to solve for x:
x + y = 200
x = 40
So the merchant needs to use 40 pounds of coffee worth $3.00 per pound.
Therefore, the merchant should use 40 pounds of coffee worth $3.00 per pound and 160 pounds of coffee worth $3.25 per pound to make the desired blend.
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the rectangle is divided into three squares. if the total area is 225 square inches, find s to the nearest tenth.
The value of s (side) of rectangle is 8.66 inch.
Here,
The rectangle is divided into three squares.
The total area = 225 square inches.
We have to find the value of s (side).
What is area of square?
The area of square is the product of two equal side.
Now,
The rectangle is divided into three squares.
The total area is 225 square inches.
Hence, Area of rectangle = Total area of three squares
Let side of each square is ''a''
Then, Area of square = [tex]a^{2}[/tex]
Hence,
[tex]225 = a^{2}+a^{2}+a^{2}\\\\225 = 3a^{2}\\\\a^{2} = 75\\\\a = 8.6602[/tex]
The side of rectangle = 8.6602 inch
Now, The value of s to the nearest tenth is 8.66 inch.
Therefore, The value of s (side) of rectangle is 8.66 inch.
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What did I do wrong. I thought it was 15
A recipe calls for 3/4 cup of flour, but Kelli has only 1/3 cup of flour. How much more flour does she need?
what is adding and subtracting decimals
Adding and subtracting decimals are easy to understand you are just adding a decimal point
For example, 2 plus 2 equals 4
2.0 plus 2.0 equals 4.0
The height h, in inches, of the juice in the pitcher shown at the right is a function of the amount of juice j, in ounces, that has been poured out of the pitcher. write a function rule that represents this situation. what is the height of the juice after 47oz have been poured out?
The pitcher shown has a height of 10 inches and a volume of 64 oz. The pitcher has a shape of cylinder and the volume formula of cylinder is:
V = π r^2 h
So given volume and height, we can find for the radius:
64 = π r^2 (10)
r = 1.427
So for a 47 oz volume is poured out, what remains is:
V remain = 64 oz – 47 oz = 17 oz
So the height at a volume of 17 oz is:
17 = π (1.472)^2 h
h = 2.66 inches
To determine a function rule between the height of the juice and the amount poured out, we need additional specifics such as initial height and pitcher capacity. Without this, we cannot define the exact function or determine the juice height after pouring out 47 ounces.
To write a function rule that represents the relationship between the height of juice h in the pitcher and the amount of juice j poured out, we need additional information about the initial height of the juice when the pitcher is full and its capacity. Without this information, we cannot construct an exact function. Generally, if 'H' is the initial height and 'C' is the capacity of the pitcher in ounces, then the function could look something like h = H - (k x j), where 'k' is a constant that converts ounces to inches based on the shape of the pitcher.
Regarding the second part of the question, without a specific function or more information about the pitcher, we cannot determine the height of the juice after 47 ounces have been poured out.
What is the solution to -√90 to the nearest integer?
A) 3
B) -5
C) 7
D) -9
Jenna found three solutions to linear equation. She graphed them, but they don't lie in a straight line. What errors could Jenna have made? Explain.
[tex]AnSwer[/tex]
A system of linear equation could only have 1 solution. This is because the straight lines will only have to meet, cross, or intersect each other once.
There are many different methods in arriving to the final answer. However, errors cannot be perfectly avoided. One of these errors to mistakenly identify equations as linear. It is important that we know that the equations we are dealing with are of exact or correct characteristics.
Also, if she had used substitution method, she might have mistakenly taken the value of one variable for the other.
round 89972 to 3 significant figures
90000 that's the answer
can the brainliest answer plz
Find the slope and the y-intercept of the equation.
-3x + 9y = 18
Noah built a fenced dog run that is 8 yards long and 6 yards wide. he placed posts at every corner and every yard along the length and width of the run. How many posts did he use.
Answer:
24 posts
Step-by-step explanation:
Length = 8 yards
So, No. of parts of 1 yards in 8 yards = [tex]\frac{8}{1}= 8[/tex]
So, One each length there will be 8 posts including 2 corners
So, Total posts on 2 lengths = 8+8=16
Width = 6 yards
So, No. of parts of 1 yards in 6 yards = [tex]\frac{6}{1}= 6[/tex]
Excluding 2 corners, There will be 4 lamps on each width
So, Total posts on both widths excluding corners = 4+4=8
So, Total posts on fence = 16+8 = 24
Hence He used 24 posts .
How much work does it take to lift a box weighing 78.6 pounds straight up four feet?
Answer:
19.65 because you divide 78.6 by 4
Step-by-step explanation:
Because you divide 78.6 by 4 hope it helps someone even though its late
HURRY PLEASE
What is the product? 7⋅(−4)⋅(−6) −168 −3 17 168
The product of 7⋅(−4)⋅(−6) from the information illustrated is D. 168.
How to calculate the product?It should be noted that the product of a number simply means the multiplication of the numbers that are given.
This is quite a straightforward question. The product will be:
= 7⋅(−4)⋅(−6)
It should be noted that (-) × (-) = +
Therefore, 7⋅(−4)⋅(−6)
= 7 × 4 × 6
= 168
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Write an expression for the calculation 84 divide into sevenths added to 9 divided into thirds
plz help me on this
I will make it Brainliest if you get it right
A farmer estimates that he has 9,000 bees producing honey on his farm. The farmer becomes concerned when he realizes the population of bees seems to be decreasing steadily at a rate of 5% per year. If the number of bees in the population after x years is represented by f(x), which statements about the situation are true? Check all that apply.
The function f(x) = 9,000(1.05)x represents the situation.
The function f(x) = 9,000(0.95)x represents the situation.
After 2 years, the farmer can estimate that there will be about 8,120 bees remaining.
After 4 years, the farmer can estimate that there will be about 1,800 bees remaining.
The domain values, in the context of the situation, are limited to whole numbers.
The range values, in the context of the situation, are limited to whole numbers.
Parallel to[tex]y= \frac{3}{4} x-4 [/tex]; through (-4,1)
Amanda's poster is 0.85 meter long. Orlando's poster is 0.55 meter less than 1 meter long. Which expression shows the difference in the lengths of the posters?
The expression shows the difference in the lengths of the posters will be 0.85 - ( 1 - 0.55). The correct option is A.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that Amanda's poster is 0.85 meters long. Orlando's poster is 0.55 meters less than 1 meter long.
Amanda's poster = 0.85 meters long
Orlando's poster = 0.55 meter less than 1 meter long: 1 meter - 0.55 meter = 0.45 meter
Orlando's poster = 0.85 - (1 - 0.55)
Therefore, the expression shows the difference in the lengths of the posters will be 0.85 - ( 1 - 0.55). The correct option is A.
The complete options are given below:-
A.0.85 - ( 1 - 0.55).
B. -0.85 + ( 1 - 0.55).
C. -0.85 - ( 1 - 0.55).
D. 0.85 + ( 1 - 0.55).
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The difference in lengths of the posters is 0.40 meters, calculated as [tex]\( |1 - 0.55 - 0.85| = 0.40 \)[/tex].
Step 1:
Find the length of Orlando's poster:
Orlando's poster is 0.55 meters less than 1 meter. Subtract 0.55 meters from 1 meter.
[tex]\[ \text{Length of Orlando's poster} = 1 - 0.55 \][/tex]
Step 2:
Calculate the difference in lengths:
Subtract the length of Amanda's poster (0.85 meters) from the length of Orlando's poster obtained in step 1.
[tex]\[ \text{Difference in lengths} = \text{Length of Orlando's poster} - \text{Length of Amanda's poster} \][/tex]
Step 3:
Perform the calculation:
[tex]\[ \text{Difference in lengths} = (1 - 0.55) - 0.85 \][/tex]
Step 4:
Simplify the expression:
[tex]\[ \text{Difference in lengths} = 0.45 - 0.85 \][/tex]
[tex]\[ \text{Difference in lengths} = -0.40 \][/tex]
Step 5:
Since negative length doesn't make sense, take the absolute value:
[tex]\[ \text{Difference in lengths} = |-0.40| = 0.40 \][/tex]
Step 6:
Conclusion:
The difference in lengths of the posters is 0.40 meters.
The scores of Tim’s first four math tests are 82%, 90%, 78%, and 100%. If Tim wants to
have a test average of 90%, what must the average of Tim’s next two tests be?
Please share the steps to doing this, I'm studying for the Hunter Exam.
To get an overall average of 90% from his six tests, Tim needs to score an average of 95% on his next two tests.
Explanation:The subject of the question is Mathematics, and it is relevant to the Middle School grade.
To figure out the average score Tim needs on his next two tests to achieve a 90% overall average, we first need to calculate the total score that he needs. As Tim is taking six tests in total and wants an average of 90%, the total score he needs is 6 * 90 = 540
Then, we need to subtract the sum of his scores from the first four tests, which are 82%, 90%, 78%, and 100%. The sum of these four scores is 350.
Now, subtract this sum from the total score he needs, which is 540 - 350 = 190. This means that the total score Tim needs from his next two tests combined is 190%
Finally, to get the average score he needs on each of these next two tests, we divide this total by 2. 190 ÷ 2 = 95. Therefore, Tim needs to score an average of 95% on his next two tests to get an overall average of 90%.
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Evaluate the numerical expression.
4/3 - (-3/4)
One pound of swordfish costs as much as 1.5 pounds of salmon. Mrs. O pays $39 for 2 pounds of salmon and 3 pounds of swordfish. Find the ratio of the amount of money Mrs. O pays for the swordfish to the amount of money she pays for the swordfish.
The ratio of the amount of money Mrs. O pays for swordfish to the amount she pays for salmon is 9:4, after calculating the price per pound based on the given information and the total paid.
The question involves finding the ratio of the amount of money Mrs. O pays for swordfish to the amount she pays for salmon. However, there seems to be a typo as the question asks for the ratio of the amount paid for swordfish to the amount paid for the same swordfish. We will resolve this by providing the correct ratio of the money paid for swordfish to the money paid for salmon.
Let us denote the price per pound of salmon as Ps. Given that "One pound of swordfish costs as much as 1.5 pounds of salmon", the price per pound of swordfish can be represented as 1.5Ps. We know Mrs. O pays $39 for 2 pounds of salmon and 3 pounds of swordfish combined.
Using this information, we can calculate the price Mrs. O paid for salmon:
Ps * 2 pounds of salmon. Similarly, the price for swordfish is: 1.5Ps * 3 pounds of swordfish.
Now we need to solve for Ps using the equation: 2Ps + (1.5Ps * 3) = $39. This simplifies to 2Ps + 4.5Ps = $39, resulting in 6.5Ps = $39. Dividing both sides by 6.5 gives us Ps = $6. Hence, Mrs. O pays $6 per pound for salmon.
Therefore, Mrs. O pays 2 * $6 = $12 for salmon and 3 * (1.5 * $6) = 3 * $9 = $27 for swordfish. The ratio of the money paid for swordfish to the money paid for salmon is $27 to $12, which simplifies to 9:4.
How do you factor the expression
20k+50
A baker has 88 chocolate cookies and 66 vanilla cookies. What is the greatest number of identical cookie bags that can be made without any cookies leftover? A) 8 B) 11 C) 16 D) 22
I need to know how to evaluate this question
Paula is planning a party. Her mother bought a package of 50 little toys to give the guests as party favors. Paula plans to invite 10 friends to her party. If the toys are equally divided among the friends, how many toys will each friend receive?
Answer:
I believe the answer would be 5 toys soo yeah.
Step-by-step explanation:
Team rise over run gathered 20 1/2 pounds of wood in 1/2 an hour. What was their speed in pounds per hour
41 lbs/hr for this answer
A cylinder has a radius of 12 m and a height of 9 m. What is the exact volume of the cylinder? 108π m³ 216π m³ 972π m³ 1296π m³
the answer is 1296 i think i could be wrong
Mr Leonard wants to top-up his central heating oil tank.
The oil tank can take up to 1200 litres 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.
How much discount does Mr Leonard get on this purchase? Give your answer in £
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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Please Help!
Karma was given some birthday money. She put the money in an account. Every month after that, she deposits the same amount of money.
The equation that models this situation is y=75x+60, where y is the amount of money in the account and x is the number of deposits.
What does the y-intercept mean in this situation.
The y-intercept means that Karma was given $60 for her birthday. Therefore, option C is the correct answer.
The given equation that models the given situation is y=75x+60.
What is the y-intercept?The y-intercept of a graph is the point where the graph intersects the y-axis.
We know that the x-coordinate of any point on the y-axis is 0. So the x-coordinate of a y-intercept is 0.
Now, Graph the line using the slope and y-intercept, or two points.
Slope: 75
y-intercept: (0, 60)
The coordinates to plot the graph is (0, 60) and (1, 135).
Here, in the graph, if we then look at the y-intercept we can see that the function crosses the y-axis at a value of 60.
Therefore we can safely say that the y-intercept means that Karma was given $60 for her birthday.
The y-intercept means that Karma was given $60 for her birthday.
Therefore, option C is the correct answer.
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solve the system of equations y=x-4, y=-3x
To solve the given system of equations, we set y = x - 4 and y = -3x equal to each other to find x = 1 and subsequently y = -3, giving us the solution (1, -3). Other systems can be solved using methods such as elimination or substitution.
To solve the system of equations, let's start by setting up the equations provided:
1) y = x - 4
2) y = -3x
Since both equations equal y, we can set them equal to each other and solve for x:
x - 4 = -3x
4x = 4
x = 1
Now, we substitute x back into one of the original equations to find y:
y = 1 - 4
y = -3
The solution to the system of equations is (1, -3).
If we look at another set of equations mentioned in the question:
7x - 2y = 24
3x + 9y = 30
We can solve them using the method of elimination or substitution. For example, we can multiply the first equation by 3 and the second by 7, then subtract one from the other to eliminate one of the variables and solve for the other.