Answer:
For direct variation, use the equation y = kx, where k is the constant of proportionality. For inverse variation, use the equation y = k/x, again, with k as the constant of proportionality. These problems might use the word 'proportion' instead of 'variation,' but it means the same thing.
Step-by-step explanation:
Final answer:
Direct and inverse variation equations have distinct relationships between variables: direct variation involves both variables increasing at a constant rate, while inverse variation involves one variable decreasing as the other increases.
Explanation:
Direct variation equations and inverse variation equations are different in their structures and relationships between variables. In direct variation equations, as one variable increases, the other also increases at a constant rate, while in inverse variation equations, as one variable increases, the other decreases at a constant rate.
For example, in a direct variation equation like y = kx, as x increases, y increases at a constant rate determined by k. In contrast, in an inverse variation equation like y = k/x, as x increases, y decreases at a constant rate determined by k.
what does congruent mean
Answer:
two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
Answer:
If two figures have the same size and shape, then they are congruent. The term congruent is often used to describe figures like this. In this tutorial, take a look at the term congruent!
Step-by-step explanation:
Please help and thank you
Answer:
A.
Step-by-step explanation:
To make a decimal into a percent you just move the decimal 2 times to the right.
0.24 = 24%
The percentage of females polled supported Wilson is about 44%
What is percentage?In percentage, a whole collection is divided in 100 parts.It is useful mathematical tool in many arithmetic problems.
Given:
Total frequency of females polls = 0.54
Frequency of polls got by Wilson = 0.24
We have to find the percentage of female polls supported Wilson.
[Percentage Polls) × (Total frequency of females polls)] / 100 = Frequency of polls got by Wilson
⇒ Percentage polls = (0.24 × 100) / 0.54
⇒ Percentage polls = 44.44%
Therefore, the percentage of females polled supported Wilson is about 44%.
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I WILL MARK AS BRANLIEST!
Mia is working on projects that require 3 1/2 yards of ribbon per project. Mia has 28 yards of ribbon. What is the greatest number of projects that Mia can complete with this ribbon?
Answer:
8 projects
Step-by-step explanation:
28 : 3,5 = 8
Final answer:
Mia can complete 8 full projects with 28 yards of ribbon by dividing the total yards by the yards needed per project, after converting 3 1/2 yards to an improper fraction (7/2).
Explanation:
The subject of this question is Mathematics, and the question would typically fall under a middle school grade level. To solve the problem about the number of projects Mia can complete, we need to use division. Mia has a total of 28 yards of ribbon and needs 3 1/2 yards of ribbon for each project. By converting the mixed number to an improper fraction, we get 7/2 yards per project; then we can divide the total yards by the yards needed per project.
To calculate how many full projects Mia can complete:
Convert 3 1/2 to an improper fraction: 3 1/2 = 7/2.Divide 28 by 7/2: 28 × 2/7 = 8.Mia can complete 8 full projects with the ribbon she has.
Please help I don’t know which one it is
Substitute all values for x and y into their placement
y<1-6x
(1)<1-6(-1)
1<7
The coordinate pair is (-1,1)
Which causal relationship is justifiable?
a.)
Children with bigger feet spell better. Spelling better causes a child's feet
to grow
b.)
Surf board sales rise when lemonade sales rise. Drinking lemonade causes
more people to buy surting boards.
c.)
The traffic is heavier around the stadium when a game is being played.
Games being played cause more traffic.
d.)
An elementary school child has more cavities than his baby brother. He
also has a larger vocabulary. An increased vocabulary causes cavities.
Answer:
Step-by-step explanation:
Only (c) makes sense. The game draws people, which in turn means more cars and heavier traffic in the surrounding area.
Answer:
C) The traffic is heavier around the stadium when a game is being played. Games being played cause more traffic.
Step-by-step explanation:
what is 6.4r−7−2.9 simplified
The simplified expression is 3.5r - 7.
To simplify the expression 6.4r - 7 - 2.9r, first, combine like terms by subtracting the coefficients of 'r'.
This yields (6.4 - 2.9)r. Simplifying the coefficients gives 3.5r. Then, subtract 7. Therefore, the simplified expression is 3.5r - 7.
This means that when you distribute the 'r', you multiply it by 3.5, then subtract 7 from the result.
The simplified expression is 3.5r - 7.
Complete question :- Simplify 6.4r - 7 - 2.9r.
Barry buys a package of pasta for $2.39 and a jar of tomato sauce for $3.09. He uses a $0.75 coupon and a $0.50 coupon.
Answer:$4.23
Step-by-step explanation:
Answer:
4.23 is the answer if its wrong let me know what mistakes i made
Check all that apply
Answer:
the answer is A and C
Step-by-step explanation:
Can someone please help?
Answer:
A coordinate pair that works as a solution is (1,3)
Answer:
A coordinate pair that works as a solution is (1,3)
Step-by-step explanation:
Jaclyn estimates the square root of 50 in the following way:
√200 = 2√100 = 2 (10) = 20
(a) Explain why her reasoning is incorrect.
(b) Estimate the square root of 200 to the nearest tenth without using your calculator. Show your work.
The answer is:
a) Her reasoning is incorrect, she applied a wrong operation, the way to simplify the expression was using the square root property. If we want to extract a number of a square root, we must square that number first in order not to modify the expression.
b) We have that:
[tex]\sqrt{200}=14.14[/tex]
and rounding to the nearest tenth, we have that:
[tex]\sqrt{200}=14.1[/tex]
Why?To solve the problem, we need to remember the following property of square roots:
[tex]\sqrt{ab}=\sqrt{a}*\sqrt{b}[/tex]
We are given the expression:
[tex]\sqrt{200}[/tex]
We can rewrite it by the following way:
[tex]\sqrt{100*2}[/tex]
Now, applying the square root property we have:
[tex]\sqrt{100*2}=\sqrt{100}*\sqrt{2}=10\sqrt{2}=14.14[/tex]
Therefore,
a) Her reasoning was wrong, she applied a wrong operation, the way to simplify the expression was using the square root property. If we want to extract a number of a square root, we must square that number first in order not to modify the expression.
b) We have that:
[tex]\sqrt{200}=14.14[/tex]
and rounding to the nearest tenth, we have that:
[tex]\sqrt{200}=14.1[/tex]
Have a nice day!
Stuck on quadratic relations question
For this case we have that the distance between two points is:
[tex]d = \sqrt {(x_ {2} -x_ {1}) ^ 2+ (y_ {2} -y_ {1}) ^ 2}[/tex]
We have the following points:
[tex](x_ {1}, y_ {1}) :( 3 \sqrt {2}, 4 \sqrt {3})\\(x_ {2}, y_ {2}) :( 3 \sqrt {2}, - \sqrt {3})[/tex]
Substituting:
[tex]d = \sqrt {(3 \ sqrt {2} -3 \sqrt {2}) ^ 2 + (- \sqrt {3} -4 \sqrt {3}) ^ 2}\\d = \sqrt {(0) ^ 2 + (- 5 \sqrt {3}) ^ 2}\\d = \sqrt {0+ (25 * 3)}\\d = \sqrt {75}\\d = 5 \sqrt {3}\\d = 8.66[/tex]
Answer:
[tex]d = 8.66[/tex]
The probability that Yuri will make a free throw is 0.3. The probability that he will make two consecutive free throws is _______. The probability that he will make the first and not the second in two free throws is _______. The probability that he will make neither of the two free throws is _______.
Answer:
1. 0.09
2. 0.21
3. 0.49
Step-by-step explanation:
If the probability that Yuri will make a free throw is 0.3, then the probability that Yuri will not make a free throw is 1-0.3=0.7.
1. The probability that Yuri will make two consecutive free throws is
[tex]0.3\cdot 0.3=0.09[/tex]
2. The probability that he will make the first and not the second in two free throws is
[tex]0.3\cdot 0.7=0.21[/tex]
3. The probability that he will make neither of the two free throws is
[tex]0.7\cdot 0.7=0.49[/tex]
Answer:
0.78
Step-by-step explanation:
Divide: 5/18
If 12 cans of dog food cost $9.50, how much would 6 cans cost?
Answer:
I would cost $4.75
Step-by-step explanation:
9.50 / 2
4.75
Hope it´s helpfull :)
Answer:
6 cans cost $4.75
Step-by-step explanation:
To solve this divide $9.50 by 12. This will give you $0.7916... per one can.With that same number multiply it by 6 and you get $4.75.
A trial balance contains
a) all accounts contained in the general ledger with account balances.
b) only income statement accounts with account balances.
c) a list of all accounts without account balances.
d) only balance sheet accounts with account balances
Answer:
d only balance sheet accounts.
Step-by-step explanation:
Only permanent accounts are on the balance sheet which includes
assets, liabilities and equity acct.
A trial balance contains all accounts in the general ledger with their account balances, which are used to prepare financial statements such as the balance sheet and income statement.So,option a is correct.
A trial balance is an accounting report that lists all the accounts in the general ledger of an entity along with their respective account balances. It is prepared to check the arithmetical accuracy of the accounting records - to ensure that debits equal credits. Therefore, the correct answer to the question is:
a) All accounts contained in the general ledger with account balances.
The trial balance includes both income statement accounts, such as revenue and expenses, and balance sheet accounts, which include assets, liabilities, and equity accounts. It is commonly used as a step in the process of preparing the financial statements, which include the balance sheet, income statement, and statement of retained earnings. These components provide a more comprehensive view of an entity's financial health at a certain point in time or over a specified period.
The best answer choice.
Answer:
The student spent 60 minutes studying and got a 90 on the test
Step-by-step explanation:
The x coordinate is 60, which means they spent 60 minutes studying
The y coordinate is 90 which means they got a score of 90 on the test
The student spent 60 minutes studying and got a 90 on the test
Help solve 88 please
Answer:
The equation of the line is y = -2x + 7
Step-by-step explanation:
* Lets study how to make an equation of the line from two point
- If the line passes through points (x1 , y1) and (x2 , y2)
- The form of the equation is y = mx + c, where m is the slope of the
line and c is the y-intercept
- The rule of the slope is m = (y2 - y1)/(x2 - x1)
- The y-intercept means the line intersect the y-axis at point (0 ,c)
* Now lets solve the problem
∵ The line passes through points (-3 , 13) and (4 , -1)
- Let (-3 , 13) is (x1 , y1) and (4 , -1) is (x2 , y2)
∵ m = (y2 - y1)/(x2 - x1)
∴ m = (-1 - 13)/(4 - -3)
∴ m = (-14)/7 = -2
- Lets write the form of the equation
∵ y = mx + c ⇒ substitute the value of m
∴ y = -2x + c
- To find the value of c use one of the two points to substitute the
values of x and y in the equation
∵ The line passes through (4 , -1)
∴ -1 = -2(4) + c
∴ -1 = -8 + c ⇒ add 8 to both sides
∴ -1 + 8 = -8 + 8 + c
∴ 7 = c
∴ y = -2x + 7
* The equation of the line is y = -2x + 7
Which expression is equal to 45+27?
Answer:
B
Step-by-step explanation:
45+27=72
A- 15 times 9 equals 135
B- 8 times 9= 72
C 45 times 18 equals 810,
D- 14 times 12 equals 68
Which expression is NOT equivalent to (a + b)(x + y)? A) (a + x)(b + y) B) (b + a)( y + x) C) (a + b)x + (a + b)y D) a(x + y) + b(x + y)
Answer:
A)
Step-by-step explanation:
The expression (a + b)(x + y) is not equivalent to (a + x)(b + y). When the terms are distributed, (a + x)(b + y) yields a different result compared to the original expression.
Explanation:The expression (a + b)(x + y) is equivalent to a(x + y) + b(x + y) and (b + a)( y + x) because the order of addition in each element doesn't change the overall result. However, the expression (a + x)(b + y) is not equivalent to the original expression.
To understand why, let's distribute the terms in each equivalent expression:
(a + b)(x + y) = ax + ay + bx + by
(b + a)( y + x) = ay + ax + by + bx = ax + ay + bx + by
a(x + y) + b(x + y) = ax + ay + bx + by
As you can see, all these three expressions give the same result when distributed. But, if we now distribute the terms in (a + x)(b + y):
(a + x)(b + y) = ab + ay + bx + xy
It's clear that it does not yield the same result. Thus, option A) (a + x)(b + y) is not equivalent to the original expression (a + b)(x + y).
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a rectangular parking lot has a length of 88 meters. the length of the parking is three times the width. find the length and width
Final answer:
The width of the parking lot is 11 meters and the length is 33 meters.
Explanation:
To find the width of the rectangular parking lot, let's assume that the width is 'x'. According to the given information, the length of the parking lot is three times the width, so the length is 3x.
The formula for the perimeter of a rectangle is P = 2(length + width). In this case, the length is 3x and the width is x. Plugging in these values, we get:
P = 2(3x + x) = 2(4x) = 8x
We know that the length of the parking lot is 88 meters, so we can set up an equation:
88 = 8x
To solve for x, divide both sides of the equation by 8: x = 11.
Therefore, the width of the parking lot is 11 meters and the length is 3 times the width, which is 33 meters.
25222+14945 rounded to the nearest ten
The answer for this problem is 40167.
To round this up to the nearest 10, if the ones is above 5, round it up.
To the nearest 10
40170
Answer:
40,170
Explanation:
25,222
+14,945
40,167
Then to round, we look at the ones column. Since there is a 7, which is greater than or equal to five, we round up to 70 from 67.
So our final answer is 40,170
Hope this was helpful, let me know of you need any further explanation!
You cut square corners from a piece of cardboard that has dimensions 32 cm by 40 cm. You then fold the cardboard to create a box with no lid. To the nearest centimeter, what are the dimensions of the box that will have the greatest volume?
Answer:
h = 6 cm
l = (32-2(6)) = 20 cm
w = (40-2(6)) = 28 cm
Step-by-step explanation:
Given in the question a piece of cardboard having dimensions 32 by 40
Suppose we cut square of length x
When you cut square corners from a piece of cardboard, two sides are 32-2x, and other two sides are 40-2x lengths
Step 1Formula for the volume of box
v = height * length * width
v = x (32-2x) (40-2x)
v = 4x³ - 144x² + 1280x
Step 2Find derivative and equal it to 0
dv/dx = 4(3)x² - (2)144x + 1280
0 = 12x² - 288x + 1280
x1 = 18.110
x2 =5.88
Step 3Select x and plug value of x to find dimension
(32-2x) > 0
2x < 32
x < 16
so domain say that x should be less than 16 which means x = 5.88 ≈ 6 cm
h = 6 cm
l = (32-2(6)) = 20 cm
w = (40-2(6)) = 28 cm
90+33+what gives us 180?
Answer:90+33 = 123
123-180=77
So 77
Step-by-step explanation:
Answer:
The answer is 77
An apartment complex has 20 apartments. the number of bedroom is represented in the
box-and-whisker plot as shown.
Label all the following values on the box and whisker plot:
Median:____
Lower quartile:___
Upper quartile:___
Minimum:___
Maximum:___
median: 3
lower quartile: approximately 2.25
higher quartile: approximately 4.75
minimum: 0
maximum: 6
hope that helps
A rectangular prism is 6 inches long, 3 inches wide, and 2 inches high. What is its volume?
72 in. 3
11 in. 3
36 in. 3
22 in. 3
This may be what you're looking for:
Answer:
36 in.³
Step-by-step explanation:
volume = length × width × height
volume = 6 in. × 3 in. × 2 in.
volume = 36 in.³
Consider the graph of the linear equation 2x-5y=10. What is the x intercept?What is the y intercept?What is the slope?
Answer:
y int (0, -2) x int (5, 0) slope 2/5
Step-by-step explanation:
2(0)-5y=10
-5y=10
y=-2
2x-5(0)=10
2x=10
x=5
2x-5y=10
-5y=-2x+10
y=2/5 x -2
is 1/2 gallon greater than 5/8 gallon?
No 5/8 is bigger because half of 8 is 4 and 5 is greater than 4
In comparing 1/2 gallon and 5/8 gallon, using equivalent fractions shows that 5/8 gallon is larger than 1/2 gallon.
Explanation:In the comparison of 1/2 gallon and 5/8 gallon, it's important to remember that fractions provide a way of representing parts of a whole. With fractions, the numerator represents the part while the denominator represents the total parts. So here, the fraction 5/8 represents 5 parts of a total 8 parts, where 1 gallon is considered the 'whole' or 'total' amount.
To determine if 1/2 is greater or less than 5/8, we want to make the denominators the same for comparison. Multiply the numerator and the denominator of the first fraction (1/2) by four to get it to the same denominator as the second one. This results in 4/8 for the first fraction.
Now, comparing 4/8 and 5/8, we find that 5/8 is greater than 4/8. Therefore, 5/8 gallon is indeed more than 1/2 gallon.
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heeeeeeeeeeeeeeeeeeeeeeelp asap ill give freaking 15 points and please give a good explanation.
Answer:
4x - 12
Step-by-step explanation:
Expand 8 - 4(-x + 5) as follows:
8 + 4x - 20
4x - 12 (First answer is the correct one)
8-4(-x+5)
Multiply the bracket by -4 first .
8+4x-20
--=positive
-+= negative
4x-12
8-20=-12 because 12 is bigger than 8
Answer:A
Recipe calls for 2/3 a cup of sugar per batch. Elena used 5 1/3 cups of sugar to make multiple batches of cookies. How many batches did she make? Can you show me the steps to get the answer?
Thank you,
Answer:
8 Batches
Step-by-step explanation:
Simple. Since it takes 2/3 of a cup for one batch, we divide 5 1/3 by 2/3, wich equals 8.
She make total number of 8 batches.
Amount of sugar required per batch = [tex]\frac{2}{3} [/tex] cup
Since, Elena used [tex]5\frac{1}{3} [/tex] cups of sugar to make multiple batches of cookies.
To find number of batches she make, divide total amount of sugar by amount of sugar per batch.
Number of batches she make,
[tex]=5\frac{1}{3}\div\frac{2}{3}\\ \\ =\frac{16}{3}*\frac{3}{2}=8 [/tex]
Hence, She make total number of 8 batches.
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HEEEEEEELLLLLLPPPPPPPP!!!!!!!!!!
Brian and Ted used the equation 17=d+12 to find d, the money Ted needed so that he had the same amount of money as Brian.
Which equation explains the process Brian and Ted could have used to find d?
A. 17 - 17 = d + 12 - 17
B. 17 + 17 = d + 12 + 17
C. 17 - 12 = d + 12 - 12
D. 17 + 12 = d + 12 + 12
Answer:
C. 17 - 12 = d + 12 - 12
Step-by-step explanation:
You need to get d by itself and in order to do that you need to subtract 12
Copy the measurements given onto the next of each solid.
Answer:
Every line on the net has a measurement of 16.
Step-by-step explanation:
Every edge dimension of the cube has a measurement of 16, so the corresponding edges of the net (all edges) will have a measurement of 16. Put the number 16 next to each line on the net.