The rates of 7 inches per 9 hours and 42 inches per 54 hours do form a proportion, as demonstrated by cross-multiplying the two ratios which resulted in equal cross products (378 inch-hours on both sides).
Explanation:To determine if the two rates form a proportion, we need to compare the ratios of inches to hours for both scenarios. For the first rate, we have 7 inches in 9 hours, and for the second rate, we have 42 inches in 54 hours. A proper proportion exists when two ratios are equivalent.
Let's set up our two ratios:
First ratio: 7 inches / 9 hoursSecond ratio: 42 inches / 54 hoursNow, we will test if these ratios form a proportion by creating a fraction out of each ratio and then cross-multiplying.
(7 inches / 9 hours) = (42 inches / 54 hours)
Cross multiply:
7 inches * 54 hours = 378 inch-hours
42 inches * 9 hours = 378 inch-hours
Since the cross products are equal, the two rates indeed form a proportion.
Write 7 over 8 as an equivalent fraction with 56 as a denominator
how can place value help me multiply a two digit number by a multiple of ten?
Why are percents used to compare ratios when the wholes are different
The percent is used to compare the ratios when the wholes are different because it gives simple calculation.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
The percent's are used to compare ratios when the wholes are different.
Now,
Let two ratios are,
⇒ 19/25 and 17/20
So, For compare we can find the percent of that ratios and simply by comparison we get the large and small ratio as;
⇒ 19/25 = 0.76 = 76%
⇒ 17/20 = 0.85 = 85%
Thus, The percent of ratio 17/20 is more than the percent of ratio 19/25.
So, The percent's are used to compare ratios when the wholes are different because it gives simple calculation and not to make denominator same.
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Dan paid 34.30 for a sweater. The price included a 40% markup.
1. The top 1/8 of the runners advance to the finals for the track and field competition. What is the decimal value of the number? Show your work.
Answer:
Hence the number in decimal is:
0.125
Step-by-step explanation:
We are given that:
The top 1/8 of the runners advance to the finals for the track and field competition.
We are asked to find the decimal value of the number i.e. we have to represent 1/8 in the decimal value.
on dividing the number 1 ( which is in numerator) by 8 ( which is in denominator) we obtain:
[tex]\dfrac{1}{8}=0.125[/tex]
Hence the number in decimal is:
0.125
a class donated $3.5 in nickels and dimes. In all there were 45 coins. how many were there of each
What is the value of eight in 485,002,000
Is there a number that is exactly 3 more than its cube?
For a given number X, its cube is written as X^3.
Here we want to see if we can find a number that is exactly 3 more than its cube, this means that:
[tex]X = X^3 + 3[/tex]
We will see that yes, there exists a number with this property.
Then we can try to solve this to find the number with that given property.
We can rewrite it as:
[tex]-X^3 + X - 3 = 0[/tex]
Now we can solve this for X, as the question asks about existence and not for the exact number, we can graph this the above function:
[tex]f(X) = -X^3 + X - 3[/tex]
And if it crosses the x-axis, then at some point we have:
[tex]f(X) = 0[/tex]
This would imply that there exists a real number that is 3 more than its cube.
The graph can be seen below, and we can see that it intersects the X-axis, then yes, there is a number that is exactly 3 more than its cube.
And by watching the graph, we can see that the number is:
[tex]X = -1.672[/tex]
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Ava picks a number greater than 3 tens 6 ones. The number is less than 52. It has more than 6 ones. What could the number be?
Which of the following slopes show that the set of points C(1, 1), D(3, -4), E(5, 8) are not collinear?
Answer:
C (-1, 1/2, -3/5) is INCORRECT and I know it isn’t (1/3, -5/3, -2/5)...... but I’m pretty sure the answer is 1/2, 3, 5
Step-by-step explanation:
Which of these is the greatest value: 8/3, 2.28, 10/12, 0.199
8/3 is the greatest value among 8/3, 2.28, 10/12, and 0.199.
The greatest value to be determined among 8/3, 2.28, 10/12, and 0.199.
What is the fraction?Fraction is defined as the number of compositions that constitute the Whole.
Here,
= 8/3, 2.28, 10/12, and 0.199.
= 2.66, 2.28 , 0.62 and 0.199
The greatest among the 2.66, 2.28, 0.62, and 0.199 is 2.66
Thus, 8/3 is the greatest value among 8/3, 2.28, 10/12, and 0.199.
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A certain number is 5 less than another number. If their sum is 11 find the two numbers
Write the following comparison as a ratio reduced to lowest terms.
153 inches to 12 feet
HELP!
Answer:
17:16
Step-by-step explanation:
12 ft = 144 inches, so this is
153 in : 144 in
= 9·17 : 9·16
= 17 : 16
Which angles are corresponding angles?
Answer:
<SRU and <VUW
Step-by-step explanation:
Corresponding angles occur when two lines are cut by a third line (transverse line).
In the problem you can see two lines (QRS) and (TUV) cutting by (PRUW).
Two angles are corresponding if one is on the outside (outside the two lines) and the other is on the inside (between the two lines).
In this graphic some of the corresponding angles are <SRP and <VUP, <PRQ and <RUT, <WUV and <URS.
A single ball is drawn from an urn containing 6 balls numbered 1 through 6. Find the probability that the ball choosen is as follows.
An even-numbered ball or an odd-numbered ball
Final answer:
The probability of drawing an even-numbered ball or an odd-numbered ball from the urn is 1.
Explanation:
To find the probability of drawing an even-numbered ball or an odd-numbered ball from an urn containing 6 balls numbered 1 through 6, we need to determine the total number of favorable outcomes and divide it by the total number of possible outcomes.
The total number of possible outcomes is 6, as there are 6 balls in the urn.
The favorable outcomes are the even-numbered balls (2, 4, 6) and the odd-numbered balls (1, 3, 5), which is a total of 6 balls.
Therefore, the probability of drawing an even-numbered ball or an odd-numbered ball is 6/6, which simplifies to 1.
A birthday celebration meal is $46.40 including tax,but not the tip.Find the total cost if a 15% tip is added to the cost of the meal.
What is the distance between these two points on a number line?
–93 and 114
A.–207
B.–21
C.21
D.207
Which lists the steps in the correct order to find the median of this data set? 24, 16, 23, 30, 18, 29 1. Put the numbers in order. 2. Cross off high/low pairs. 3. Add the leftover numbers. 4. Divide the sum by 2. 1. Put the numbers in order. 2. Cross of high/low pairs. 1. Cross off high/low pairs. 2. Add the leftover numbers. 3. Divide the sum by 2. 1. Cross of high/low pairs.
To find the median of an even-numbered data set, arrange the numbers in order, identify the two middle numbers, add them, and divide by two. The median for the given data set is 23.5.
To find the median of the data set (24, 16, 23, 30, 18, 29), follow these steps:
Put the numbers in order from smallest to largest.If the data set has an even number of values (like this one with 6 numbers), identify the two middle numbers.Add the two middle numbers together.Divide the sum by 2 to find the median.Applying these steps to the provided data set:
Order: 16, 18, 23, 24, 29, 30Middle numbers: 23 and 24Sum of middle numbers: 23 + 24 = 47Median: 47 / 2 = 23.5The correct median of this data set is 23.5.
round 0.785 to the nearest hundredth.
what is 437284237940 divided by 2 - 2 times 1 -3 +42 divided by 7989
Two parallel lines are crossed by a transversal. What is the value of g? g = 75 g = 80 g = 100 g = 105
we know that
If the lines u and w are parallel
then
∠g=[tex]105\°[/tex] ------> by alternate exterior angle
therefore
the answer is
∠g=[tex]105\°[/tex]
a chemist is using 364 millimeters of a solution of acid and water. if 16.8% of the solution is acid, how many millimeters of acid are there?
solve for n
15=0.5n whats is n=
find the x in the parallelogram there’s an x in the left corner and 73 degrees in the right bottom corner
Which of the following illustrates the truth value of the given conditional statement? If ice is hot, then rain is wet.
F T → T
T T → T
T F → F
F F → T
Answer: The correct option is (A) F T → T.
Step-by-step explanation: We are given to select the correct illustration of the truth value of the following conditional statement :
"If ice is hot, then rain is wet".
Let p : Ice is hot. This is a false statement.
And
q : rain is wet. This statement is true.
We know that
The statement "if p then q" is written as p ⇒ q.
Since p is false and q is true, so p ⇒ q will be true.
That is,
p q p ⇒ q
F T T
Thus, the correct illustration is F T → T.
Option (A) is CORRECT.
A gym charges a $20 sign-up fee plus $25 per month. You have a $120 gift card for the gym. When does the total spent on your gym membership exceed the amount of your gift card?
When does the total spent on your gym membership exceed the amount of your gift card is After 4 months
Given:
Sign-up fee = $20
Monthly fee = $25
Gift card = $120
Now let determine when does the total spent on gym membership exceed the amount gift card
Let x represent the number of months
Hence:
20 + 25x = 120
25x= 120-20
25x= 100
x=100/25
x=4
Inconclusion When does the total spent on your gym membership exceed the amount of your gift card is After 4 months.
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What are the coordinates of the vertex of the graph of f(x)=2|x−3| ? Enter your answer in the boxes.
The vertex of the given function is [tex](3,0)[/tex].
Given:
The given function is [tex]f(x)=2|x-3|[/tex].
To find:
The coordinates of the vertex of the graph of [tex]f(x)[/tex].
Explanation:
The vertex form of an absolute function is:
[tex]f(x)=a|x-h|+k[/tex] ...(i)
Where, [tex]a[/tex] is a constant and [tex](h,k)[/tex] is the vertex.
We have,
[tex]f(x)=2|x-3|[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]h=3[/tex]
[tex]k=0[/tex]
Therefore, the vertex of the given function is [tex](3,0)[/tex].
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A line has slope 2/3 and y–intercept −2. Which answer is the equation of the line? A) y=2x+2/3
B)y=−2x+2/3
C)y=2/3x−2
D)y=2/3x+2
The equation of the line is [tex]\bold{y = \frac{2}{3}x-2}[/tex]
The correct answer is an option (C)
What is slope of the line?"It is the change in y coordinate with respect to the change in x coordinate."
What s y-intercept?"It is the point at which the line intersects the Y-axis."
What is slope-intercept form of line?"y = mx + c, where m is the slope and cis the y-intercept."
For given question,
A line has slope 2/3 and y–intercept -2.
So, m = [tex]\frac{2}{3}[/tex] and c = -2
Substitute these value in the slope-intercept form of line,
[tex]\Rightarrow y = mx + c\\\\\Rightarrow y = \frac{2}{3}x+(-2)\\\\ \Rightarrow y = \frac{2}{3}x-2[/tex]
Therefore, the equation of the line is [tex]\bold{y = \frac{2}{3}x-2}[/tex]
The correct answer is an option (C)
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Kiersten runs a website that helps people learn programming. Every month, Kiersten receives a subscription fee of \$10$10dollar sign, 10 from each of the subscribers to her website. Last month, the website had 100100100 subscribers. This month, 303030 new members joined the website, and 101010 members cancelled their subscription. How much money will Kiersten’s online business earn this month?
Answer:
1200
Step-by-step explanation:
Khan Academy
ur welcome
dab if you got it correct
*or you can rate me and give a thanks*
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Kiersten’s will earn 1200 dollars from his online business this month.
Given,
Subscription fees received by Kiersten for a month by each subscriber is $10.
Since the number of members is 100 last month, so total earning of Kiersten will be,
[tex]100\times 10=1000[/tex] dollars.
According to the question, this month, 30 new members joined the website, and 10 members cancelled their subscription.
So the number of members increased will be 20.
Hence the kiersten have total 120 members this month, so the total earning of kiersten this month will be,
[tex]120\times 10=1200[/tex] dollars.
Thus kiersten earn 1200 dollars from his online business.
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Latrell is packing boxes that can contain two types of items. Board games weigh 3 pounds and remote controlled cars weigh 1.5 pounds. The box can hold no more than 25 pounds.
Let x represent the number of board games. Let y represent the number of remote controlled cars.
Enter an inequality that represents the situation.