Use cross product to determine if the two ratios form a proportion. Here we can see that 2/16 and 5/40 are proportions since their cross products are equal. Percent means hundredths or per hundred and is written with the symbol, %. Percent is a ratio were we compare numbers to 100 which means that 1% is 1/100.
The proportion is a general case of percentage. (Refer to the examples explained below).
What is the percent equation?Proportion is a general case of percentage. It describes how much of the total a particular sample is. For example, if a pie contains eight slices and you have five, the proportion is 5/8. You have a total of five out of eight. A percent (the number of parts out of 100) is a special case of proportion where the denominator (“whole”) equals 100 parts. I suspect that percentages were created to allow a normalized comparison of proportions when the total number of parts was not the same. Imagine a small pizza with 6 slices and a large pizza with 8 slices. If Tom got 4 from the first and Ram got 5 from the second, it is not immediately clear who got more from the second. Converting 4/6 and 5/8 to percentages (66.7 and 62.5) allows you to see when the denominator equals who got relatively "more".Furthermore, I suspect that 100 was used because we live in a 10-base world (we have 10 fingers, which makes it natural).Therefore, the proportion is a general case of percentage.
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Charlene was making some chocolate squares for her class party. She had 8 packages of the mix. Each package called for cup of milk. How many whole cups of milk would Charlene use for all 8 packages?
The number of whole cup of milk that Charlene would use for all 8 packages would be = 8 cups of whole milk.
What is a square?A square is a type of quadrilateral that has four sides with four angle 90° at each edge.
The number of chocolate square mixture Charlene would use for the party = 8 packages.
The number of packages that require a cup of milk = 1
Therefore the number of whole cups of milk that would be used for the whole 8 packages would be = 8×1 = 8 cups of whole milk.
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15 POINTS
Using Pythagoras' theorem, calculate the length
of XY.
Give your answer in centimetres (cm) to 1 d.p.
Answer:
13.27 cm
Step-by-step explanation:
I am using (xy) to mean the length of the side xy
7^2 + (xy)^2 = 15^2
49 + (xy)^2 = 225
(xy)^2 = 225-49
(xy)^2 = 176
Side (xy) = sqrt(176) = 13.2664991614 = 13.27 cm
Number 15 Part B
Help me Explain and Solve
Answer:
Fran's would have 18 and Mia's would have 12
Step-by-step explanation:
Use the chart you set up in 15a to substitute the values. You look at the corresponding purple shell value to the value of 6 pink shells.
Use 3.14 for pi to estimate the area of a circle. The diameter is given. Round your answer to the nearest hundredth if necessary.
A. 51.12 m
B. 221.56 m
C. 448.25 m
D. 886.23
Answer:
B) 221 .56m
Step-by-step explanation:
This is it !
what grade are u in btw?
Find BP with endpoints
B(1,6) and P(-3,10).
The answer of the sum is BP = 4√2
To solve this particular sum we need to know about distance formula. IT is basically nothing but gives the length of the line segment . There are various types of distance formula:
Distance between two points in a 2D planeDistance between two points in a 3D planeDistance from a point to to a line in 2D Distance from a point to to a line in 3D Distance between 2 parallel planesThe formula we are going to use in the sum is :
√{(x₂-x₁)² + (y₂-y₁)² } [ the root is over full expression ]
Here in the given sum
(x₁,y₁)=(1,6)
(x₂,y₂)=(-3,10)
If we put the values of x₁ , x₂, y₁, y₂ in the above formula we get :
BP = √{(-3-1)² + (10-6)²}
√{(-4)²+4²}
√(16+16 )
√32
4√2
So the value of BP is 4√2
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Lavage Rapide is a Canadian company that owns and operates a large automatic car wash facility near Montreal. The following table provides estimates concerning the company’s costs:
Fixed Cost per Month Cost per Car Washed
Cleaning supplies $ 0.80
Electricity $ 1,400 $ 0.08
Maintenance $ 0.20
Wages and salaries $ 4,700 $ 0.40
Depreciation $ 8,000
Rent $ 2,100
Administrative expenses $ 1,400 $ 0.05
Lavage Rapide's total cost per car washed is $19.05.
What is equation?An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.
Fixed costs are expenses that do not change based on the number of units produced or sold. Variable costs, on the other hand, change with the level of production or sales. Here, the fixed costs are cleaning supplies, electricity, maintenance, wages and salaries, depreciation, rent, and administrative expenses.
The variable cost is the cost per car washed, which includes wages and salaries and administrative expenses.
To calculate the total cost per car washed, we need to add fixed costs to the variable cost per car. So, the total cost per car washed for Lavage Rapide would be:
Total Cost per Car Washed = Fixed Costs + Variable Cost per Car Washed
Total Cost per Car Washed =\(($0.80 + $1,400 + $0.20 + $4,700 + $8,000 + $2,100 + $1,400) + ($0.40 + $0.05)\)
Total Cost per Car Washed = $18,620 + $0.45
Total Cost per Car Washed = $19.05
Therefore, Lavage Rapide's total cost per car washed is $19.05.
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complete question:
Fixed Cost per Month Cost per Car Washed
Cleaning supplies $ 0.80
Electricity $ 1,400 $ 0.08
Maintenance $ 0.20
Wages and salaries $ 4,700 $ 0.40
Depreciation $ 8,000
Rent $ 2,100
Administrative expenses $ 1,400 $ 0.05
when will my dad come back? it has been approx 6 years
Answer:
he had to go to china for the milk and while he was there he got kidnapped so it might be a while
sorry bro
Step-by-step explanation:
Answer:
Step-by-step:
he is just trying to find the best milk he can don't even worry about it just become rich he's sure to come back then-
Niccola travels at an average speed of 40 mph for 50 miles.
Without stopping, Niccola then travels 60 miles in 1.75 hours.
Find her average speed for the entire journey to 2 dp.
Answer:
36.67 [mile/hour].
Step-by-step explanation:
1) use the formula: V=S/t, where S - entire jorney, v - average speed (required to calculate), t - elapsed entire time.
2) according to the formula above S=50+60=110 miles; t= 50/40 + 1.75=1.25+1.75=3 hours.
3) after the substitutuion 110 and 3 into the formula above:
v=110/3≈36.67 miles/h.
Mark computer weighs 35.769 pounds rounde to the nearest hundreds
Answer:
35.800
Step-by-step explanation:
pls help ill mark brainliest
Answer:
Step-by-step explanation:
since you are rotating the image it shows y k j and l so it would be 5.5
A number n minus the sum of the number and eight
The algebraic expression for the sentence in this problem is given as follows:
n - (x + 8).
How to obtain the algebraic expression for the sentence?The sentence in this problem is given as follows:
"A number n minus the sum of the number and eight".
The sum of an unknown number x and eight is given as follows:
x + 8.
The subtraction of the number n by the expression is given as follows:
n - (x + 8).
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Blake is going to invest in an account paying an interest rate of 3% compounded annually. How much would Blake need to invest, to the nearest ten dollars, for the value of the account to reach $83,000 in 16 years?
Answer:
51720
Step-by-step explanation:
Find the measure of angle b.
29
m/B=
Answer:
61
Step-by-step explanation:
90-29=61
Joe’s distance from the start of the path can also be modeled by D = 4s^2/5s+ 10
where D is measured in yards and s is the total number of steps Joe has taken. If Joe jogs at a constant rate of 100 steps per minute, find the rate that Joe’s distance from the start of the path is changing with respect to time, in yards per minute, when s= 200.
The rate that Joe’s distance from the start of the path is changing with respect to time, in yards per minute is; 1.91 yards per minute
How to solve constant rate problems?
We are given the equation that represents Joe’s distance from the start of the path as;
D = 4s²/(5s + 10)
where;
D is distance measured in yards.
s is the total number of steps Joe has taken.
When s = 200, we have;
D = 4(200²)/(5(200) + 10)
D = 158.4158 yards
We are old that the constant rate is;
s/t = 100 steps per minute
From conversion rates, we know that , we know that;
1 step = 0.83 yards
Thus; 100 steps per minute = 83 yards per minute
Thus;
83 yards = 1 minute
Time for D = 158.4158 yards is;
158.4158 yards/83 yards per minute = 1.91 minutes
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What are the important variables in the problem below?
A test is worth 80 points. Multiple-choice questions are worth 2 points, and
short-answer questions are worth 4 points. If the test has 25 questions, how
many multiple-choice questions are there?
OA. p for points, m for multiple choice
OB. s for short answer, t for test
OC. m for multiple choice, s for short answer
OD. t for test, q for questions
The important variables are the two types of test questions which can be represented as :
m for multiple choice, s for short answerVariables are used to represent unknown values which could be worked out in a mathematical expression or problem.
The variables or unknown in this case are the type of test questions. which are : m for multiple choice, s for short answer
Therefore, the correct option is C. m for multiple choice, s for short answer
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How do you do this question?
Answer:
3.61
Step-by-step explanation:
The standard deviation of X is 2, so the variance is 4.
The standard deviation of Y is 1. The standard deviation of 3Y is 3, so the variance is 9.
The variance of Z is 4 + 9 = 13
So the standard deviation is √13 = 3.61.
A random sample of 1000 oranges showed that the mean amount of juice per orange was 8.2 fluid ounces, with a standard deviation of 1.1 fluid ounces.
(a) Determine the z-score, to the nearest hundredth, of an orange that produced 6,4 fluid ounces of juice.
(b) The 2-score for one orange was 3.11. How much juice was produced by this orange? Round to the nearest tenth of a fluid ounce.
(a) The value of the z-score for the 6.4 fluid ounce orange is -1.64
(b) The value of the z-score for the 3.11 fluid ounce orange is -4.63
(a) Calculating the values of the z-score 6.4 fluid ounceFrom the question, we have the following parameters that can be used in our computation:
Mean = 8.2
Standard deviation = 1.1
The values of the z-scores is calculated as
z = (z - Mean)/Standard deviation
So, we have
z = (z - 8.2)/1.1
When the score is 6.4, we have
z = (6.4 - 8.2)/1.1
Evaluate
z = -1.64
(b) Calculating the values of the z-scores 3.11 fluid ounceRecall that
z = (z - Mean)/Standard deviation
So when the score is 3.11, we have
z = (3.11 - 8.2)/1.1
Evaluate the expression
z = -4.63
Hence, the values of the z-scores are -1.64 and -4.63
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Solve these linear systems using elimination <3
1. 4x-3y=8
5x-2y=11
2. -2x-5y=9
3x+11y=4
3. 7x-6y=-1
5x-4y=1
Answer:
1.x=3/4y + 2
Step-by-step explanation:
Add 3y to both sides then after youdidnt that divide both sides by 4 Thereyougo the answer.
i have school myself so i only did one.
Marta studied 20.75 hours total in April and May, she studied 13 hours total in May.
How many hours did Maria study in April?
Answer:
20.75-13=7.75
Maria studies 7.75 hours in April
Step-by-step explanation:
Brainliest would be appreciated
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Let's practice by using the distributive property to complete this number sentence. Use the distributive property to find the missing numbers. 4 × (3 + 7) = (4 × ? ) + (4 × ? )
The following would be filled in the boxes using the distributive property:
(4 × 3 ) + (4 × 7 )
The distributive property is what?The distributive property is a mathematical concept that describes how multiplication distributes between addition and subtraction. It provides a rule for word expansion and expression condensing.
The distributive property allows us to factor polynomials, simplify expressions, and solve equations in algebra and arithmetic more quickly.
Having said that,
4 × (3 + 7) =(4 × 3 ) + (4 × 7 )
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I dont even know where to start or what to ask i would like to understand how to solve this so that i can explain to my kid.
I went with a few of my memories from Algebra 1 but I dont think im correct and I am stuck on
9514 1404 393
Answer:
A. perhaps 0 to 7 days
B. the radius in mm at the start of the study
C. 0.114 mm/day
Step-by-step explanation:
A. It is always problematic to determine the reasonable domain for an exponential growth function. You can always limit the domain to the length of time for which the function is said to model the growth. It is difficult to say how much beyond that time period the exponential growth can be extrapolated, as most systems run into limits to growth.
Here, the base of the exponential term is 1.01 = 1 + 1%. This tells you the growth rate is 1% per day. The study concludes when the radius was 11.79/11.00 = 1.071818... ≈ 1 + 7.2% times the original size. That is, the study lasted approximately 7 days.
The question in part C has you look at the size on day 7, which is apparently the last day of the study. It is not clear that the model is at all useful beyond the end of the period it is intended to describe.
A reasonable domain for the growth function is 0 to 7 days.
__
B. The function gives the radius of the algae after d days. When d=0 (the y-intercept), the function gives the radius of the algae after 0 days. That is the meaning of the y-intercept is the initial radius of the algae (at the beginning of the study).
The y-intercept is always the "initial value", the value when the independent variable is zero. You have to look at the function definition to see what it is the initial value of.
__
C. The average rate of change is the difference in function values divided by the difference in time between them. Here, the attached table tells us that is ...
(f(7) -f(2))/(7 -2) = (11.793 -11.221)/5 = 0.572/5 = 0.1144 . . . mm/day
The units of the "average rate of change" are the units of the slope of the curve on the graph: the y-axis units divided by the x-axis units. Here, that is mm/day.
Jen's test grades for this term are 85, 92, and 95. She wants to have a test average of at least 90 for this term, and she will have one more test. What is the lowest score that she can get to have a test average of at least 90?
Answer:
88 points
Step-by-step explanation:
If she has 85, 92, and 95, she has an average of 90 2/3. To get the lowest score, first do 272+90=362. 362/4=90.5. Next do 272+88, the next lowest even number. 272+88=360. 360/4=90.
Answer:
88 points
Step-by-step explanation:
the usher at a wedding asked each of the 808080 guests whether they were a friend of the bride or of the groom. here are the results
The probability that a randomly selected person from this sample was a friend of the bride OR of the groom is 0.9875.
Given that, at a wedding each guest asked the 80 guests whether they were a friend of the bride or of the groom.
What is the probability?
Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
Total Number of Guests which forms the Sample Space, n(S)=80
Let the event (a friend of the bride) =A
Let the event (a friend of the groom) =B
n(A) =59
n(B)=50
Friends of both bride and groom,
So,
n(A∪B)=n(A)+n(B)-n(A∩B)
n(A∪B)=59+50-30
n(A∪B)=79
The number of Guests who was a friend of the bride OR of the groom = 79
Thus,
P(A∪B)=n(A∩B)/n(S)
= 79/80
= 0.9875
Hence, the probability that a randomly selected person from this sample was a friend of the bride OR of the groom is 0.9875.
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A poster is 6 feet tall and 3 feet wide. What is it's perimeter?
Answer:
18 ft
Step-by-step explanation:
6 ft + 3 ft + 6 ft + 3 ft = 18 ft
Answer:
18 ft
Step-by-step explanation:
if its 6 feet tall and 3 feet wide you add 6+6+3+3
Consider this equation
1/x-1 = | x-2 |
Using three iterations of successive approximation, what is the approximate solution to the equation? Use the graph as a starting point.
A. x ≈ 43/16
B. x ≈ 21/8
C. x ≈ 41/16
D. x ≈ 19/8
The approximate solution to the equation 1/x-1 = |x-2| after three iterations of successive approximation is x ≈ 5/2 or x ≈ 2.5.
To solve the equation 1/x-1 = |x-2| using three iterations of successive approximation, we will start with an initial guess and refine it using an iterative process.
Given that the equation involves absolute value, we will consider two cases:
Case 1: x - 2 ≥ 0
In this case, |x-2| simplifies to x-2, and the equation becomes 1/(x-1) = x-2.
Case 2: x - 2 < 0
In this case, |x-2| simplifies to -(x-2), and the equation becomes 1/(x-1) = -(x-2).
Now, let's perform the successive approximation:
Iteration 1:
Let's start with an initial guess, x = 2.
Case 1: When x - 2 ≥ 0,
1/(2-1) = 2-2,
1/1 = 0,
which is not true.
Case 2: When x - 2 < 0,
1/(2-1) = -(2-2),
1/1 = 0,
which is not true.
Since our initial guess did not satisfy the equation in either case, we need to choose a different initial guess.
Iteration 2:
Let's try x = 3.
Case 1: When x - 2 ≥ 0,
1/(3-1) = 3-2,
1/2 = 1,
which is not true.
Case 2: When x - 2 < 0,
1/(3-1) = -(3-2),
1/2 = -1,
which is not true.
Again, our guess did not satisfy the equation in either case.
Iteration 3:
Let's try x = 2.5.
Case 1: When x - 2 ≥ 0,
1/(2.5-1) = 2.5-2,
1/1.5 = 0.5,
which is true.
Case 2: When x - 2 < 0,
1/(2.5-1) = -(2.5-2),
1/1.5 = -0.5,
which is not true.
Our guess of x = 2.5 satisfies the equation in Case 1.
Therefore, the approximate solution to the equation 1/x-1 = |x-2| after three iterations of successive approximation is x ≈ 5/2 or x ≈ 2.5.
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Write an equivalent expression by distributing the sign outside the parentheses:
- (-9c- 0.8d - 1)
Answer:
9c + 0.8d + 1
Step-by-step explanation:
- (- 9c - 0.8d - 1) ← multiply each term in the parenthesis by - 1
= 9c + 0.8d + 1
A standard toilet uses 1.6 gallons per flush. If a toilet is flushed two times per day, how much water will be used in two weeks (14 days)?
The sum of a number and 3 is less than or equal to 8
Answer:
m ≤ 5
Step-by-step explanation:
I will begin by assuming m to be the number.
Then, the sum of m and 3 is: m + 3.
The symbol for "less than or equal to" is ≤.
So we form an inequality, like this :
m + 3 ≤ 8
To find m subtract 3 on each side:
m ≤ 5
Therefore, m ≤ 5.
What numbers go in the boxes for the question, "Use multiplication to find 5% of 180" for 6th grade Advanced mathematics 1 book.....Can you show a picture of it instead because I'm a visual learner.
I like to think of it like: 50% of 180 is 90, 25% of 180 is 45, so then 5% must be 9. So just kind of find half and then half again until you have an easier number to work with.
Pls show work for me I rlly need this to help me : (
Answer:
copy & paste them intu the comment, i'll help :)
Step-by-step explanation: