Answers
Each fraction is each number of cases divided by the total.
Truck: 63/315 = 1/5
Train: 140/315 = 4/9
Air: 112/315 = 16/45
Related Questions
Solve the equation: -12 = 3x + 3
Answers
Subtract 3 from each side
-15=3x
Divide both sides by 3
-5=x
-12 - 3 = 3x subtract both sides by 3
-15 = 3x
-15/3 = x divide both sides by 3
-5 = x
hope this helps, God bless!
Which set of coordinates does NOT represent a function?
Answers
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.
Answers
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.
[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.
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.
Answers
Tim wants to have a test average of 90% on all of his 6 tests then
90 x 6 = 540
540 - 350 = 190
the average of Tim’s next two tests = 190 / 2 = 95
answer
average of Tim’s next two tests must be 95
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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How much work does it take to lift a box weighing 78.6 pounds straight up four feet?
Answers
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
Parallel to[tex]y= \frac{3}{4} x-4 [/tex]; through (-4,1)
Answers
_________________________________________________
Explanation:
_________________________________________________
We are given an equation in "slope intercept form" ; that is; in the form of :
"y = mx + b" ; in which "y" in isolated on the left-hand side of the equation; with "no-coefficient" (except for the "implied coefficient" of "1");
in which: "m" is the slope of the line; and the coefficient of "x"; and "b" is the "y-intercept" (or the value of the "y-coordinate" of the graph when "x = 0" ;
______________________________________________
We are given: " y = [tex] \frac{3}{4} [/tex]x − 4 " ;
in which the slope; "m", is "[tex] \frac{3}{4} [/tex]" .
Since we want to write the equation, in slope-intercept form, for the line PARALLEL to the given line; we known that the "line" that is "parallel" will have the same slope".
So we can write: " y = [tex] \frac{3}{4} [/tex] x + b" .
Note that we are instructed to find the "parallel line" that passed through:
"(-4, 1)" ;
______________________________________________________
So, in the aformentioned equation, we substitute "-4" for "x" ; and "1" for "y"; to solve for "b" ;
______________________________________
y = [tex] \frac{3}{4} [/tex] x + b ;
1 = [tex] \frac{3}{4} [/tex] * -4 + b ;
→ 1 = -3 + b ;
↔ b + (-3) = 1 ;
↔ b − 3 = 1 ;
Add "3" to each side of the equation:
b − 3 + 3 = 1 + 3 ;
→ b = 4 .
______________________________
Now, since we now that "b" is "positive 4" ; we can write the equation of the parallel line:
" y = [tex] \frac{3}{4} [/tex] x + 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.
Answers
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.
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.
Answers
The function is
f(x) = 9000(0.95)^x
Choice A is false.
Choice B is true.
At 2 years, x = 2
f(x) = 9000(0.95)^x
f(2) = 9000(0.95)^2 = 8122.5
Choice C is true.
At 4 years, x = 4.
f(4) = 9000(0.95)^4 = 7331
Choice D is false.
The domain values, in the context of the situation, are limited to whole numbers.
You can calculate what the bee population will be after 5.5 years.
The domain can include numbers that are not whole numbers.
Choice E is false.
The range values, in the context of the situation, are limited to whole numbers.
The range is the number of bees alive. That has to be a whole number since you can't have a fraction of a bee alive.
Choice F is true.
In eleven years ted will be 22 years old ? How old is he now ?
Answers
This is because:
22 - 11 = 11
4ab over c divided by 3a over 2c
Answers
[tex]\frac{\frac{4ab}{c} }{\frac{3a}{2c} }[/tex] simplifies to (8b)/3.
To simplify the expression[tex]\frac{\frac{4ab}{c} }{\frac{3a}{2c} }[/tex]
1. Rewrite the expression using the rule that dividing by a fraction is the same as multiplying by its reciprocal:
[tex]\frac{\frac{4ab}{c} }{\frac{3a}{2c} }[/tex]=[tex]\frac{4ab}{c} *\frac{2c}{3a}[/tex]
2. Cancel out common factors:
- 'c' in the numerator and denominator cancels out.
- 'a' in the numerator and denominator cancels out.
3. After canceling, we're left with:
4b * ([tex]\frac{2}{3}[/tex])
4. Multiply 4b by [tex]\frac{2}{3}[/tex]:
4b * [tex]\frac{2}{3}[/tex] = [tex]\frac{8b}{3}[/tex]
So, [tex]\frac{\frac{4ab}{c} }{\frac{3a}{2c} }[/tex] simplifies to (8b)/3.
The probable question maybe:
simplify the expression[tex]\frac{\frac{4ab}{c} }{\frac{3a}{2c} }[/tex].
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?
Answers
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.
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.
Answers
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 .
is 1.99 a rational number?
Answers
Team rise over run gathered 20 1/2 pounds of wood in 1/2 an hour. What was their speed in pounds per hour
Answers
20 1/2 lbs x 2 = 41lbs per her
41 lbs/hr for this answer
Write and solve an equation that represents the following:
Twenty more than a number is eighteen
Answers
20+a=18
subtract 20 from both sides using additive property that leaves you with
a= -2
Let the number be [tex]x[/tex]
The equation would be: [tex]x+20=18[/tex]
Lets solve this!
We need to always keep the variables aside, and the numbers aside.
[tex]x=20-18[/tex]
[tex]x=2[/tex]
Hope I helped (:
Have a great day!
Hi!
Which of the following is closest to 0.0432
A) 4 times 10 to the power of negative 2
B) 4 times 10 to the power of negative 1
C) 4 times 10 to the power of positive 1
D) 4 times 10 to the power of positive 2
Answers
______________________________________
Note: The number provided is:
__________________________
"0.0432" ; which equals: "4.32 * 10⁻² " .
______________________________________
Final answer:
The exponential form closest to the number 0.0432 is 4 times 10 to the power of negative 2, because it gives us 0.04 which is very close to 0.0432. So the correct option is A.
Explanation:
The student is asking which exponential form is closest to the number 0.0432. To express a number in scientific notation, we move the decimal point to the right or left to create a new number from 1 up to 10, and then we multiply this number by 10 raised to a power that corresponds to the number of places the decimal point was moved.
If we look at the options given:
A) 4 times 10 to the power of negative 2 would be equivalent to 0.04, which is very close to 0.0432.B) 4 times 10 to the power of negative 1 is 0.4, which is much larger than 0.0432.C) 4 times 10 to the power of positive 1 is 40, andD) 4 times 10 to the power of positive 2 is 400, both of which are drastically larger than 0.0432.Therefore, the correct answer is A) 4 times 10 to the power of negative 2, because it is the option closest to 0.0432.
NEED HELP ASAP 12+ PTS WILL MARK BRAINLIEST A remote controlled toy truck is traveling at a constant rate of 15 feet per second. What is the distance traveled when time = 3 seconds? Table with column 1 heading Seconds and values 0, 1, 2, 3 and column 2 heading Feet and no values showing. A. 5 ft B. 15 ft C. 30 ft D. 45 ft
Answers
15:1 =45:3
D is the answer
solve the system of equations y=x-4, y=-3x
Answers
x=y+4
y=-3(y+4)
y=-3y-12
4y=-12
y=-3
x=1
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.
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?
Answers
LCD of 3 and 4 is 12 so convert the fractions to 12th's:-
3/4 - 1/3 = 9/12 - 4/12 = 5/12
She needs another 5/12 of a cup of flour , Answer.
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?
Answers
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.
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
Answers
V = π * 12^2 * 9
= 1296π
the answer is 1296 i think i could be wrong
Evaluate the numerical expression.
4/3 - (-3/4)
Answers
4/3 + 3/4
16/12 + 9/12
25/12 = 2 1/12
Hope I helped :)
4/3 - (-3/4)
16/12 - (-9/12)
25/12
Since it doesn't say "Simplify" you would leave it at 25/12 instead of simplifying it to 2 1/12. Hope this helps!
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 £
Answers
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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Write an expression for the calculation 84 divide into sevenths added to 9 divided into thirds
Answers
The 84 is divided by the 1/7th and the 9 is divided by the 1/3. They are then added.
A local charity is selling seats to a basketball game seats cost $20 each and snacks cost an additional $5 the charity needs to raise $400 to consider this event a success
Answers
x = 16
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?
Answers
Answer:
I believe the answer would be 5 toys soo yeah.
Step-by-step explanation:
the rectangle is divided into three squares. if the total area is 225 square inches, find s to the nearest tenth.
Answers
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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How do you factor the expression
20k+50
Answers
-----------------------------------
Work Shown:
20k+50 = 10*2k + 10*5
20k+50 = 10(2k+5)
Note how we can distribute the 10 back in to check our work
10(2k+5) = 10(2k)+10(5) = 20k+50
so that confirms we have the right answer
Another thing to notice is that 10 is the largest factor that we can pull out of 20k and 50. The value 10 is the GCF (greatest common factor) of 20 and 50.
10(2k) + 10(5)
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?
Answers
y pounds of $3.25
x+y = 200
300x + 325y = 320*200
300x + 325y = 64000
x+y =200
300x +325y =64000
Solve by eliminating
Multiply top one w/-300
-300y =60000
325y=64000
25y = 4000
y= 160 then
x + 160= 200
x = 40
So the mixture has;
40 pounds of $3 coffee
160 pounds of $3.25 coffee
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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round 89972 to 3 significant figures
Answers
90000 that's the answer
can the brainliest answer plz