Given:
The equation is [tex]xy=7[/tex].
To find:
Whether the given equation is a direct variation or inverse variable.
Solution:
Direct variation: y is directly proportional to x.
[tex]y\propto x[/tex]
[tex]y=kx[/tex]
Inverse variation: y is inversely proportional to x.
[tex]y\propto \dfrac{1}{x}[/tex]
[tex]y=\dfrac{k}{x}[/tex]
Where, k is the constant of proportionality.
We have,
[tex]xy=7[/tex]
Divide both sides by x.
[tex]y=\dfrac{7}{x}[/tex]
It is in the form of inverse variation.
Since [tex]y=\dfrac{7}{x}[/tex] and it is inverse variation, therefore the correct option is (d).
3.6 + 1.23 + 0.042 find the sum
A diagram of the pool has been drawn to scale below where each unit is 2 meters. What is the area of the pool in meters? *
Answer:
4.5m^2
Step-by-step explanation:
Step one:
The shape of the pool can be either a square or a rectangle.
We want to find the area of the pool
The area of a square or rectangle is expressed as
A= length * width
Step two
say the dimensions given are
L= 3m
W= 1.5m
Then area
A= 3*1.5
A= 4.5m^2
Assume 1 dozen oranges has a mass of 1.5 kg and that there are 14 orange slices in each orange. How many slices are in 6 kg of oranges
Answer:
672
Step-by-step expl
The total number of slices in 6 kg oranges will be equal to 672 slices.
What is an arithmetic operation?The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the given information in the question,
1 dozen = 1.5 kg
Then, in 6 kg there will be how many dozens,
Let there be x dozens in 6 kg.
x = 6/1.5
x = 4 dozen.
One dozen oranges = 12 oranges.
So, the number of oranges in 4 dozens = 12 × 4 = 48 oranges.
1 orange = 14 slices
Then, 48 orange = 48 × 14 = 672 slices.
To know more about arithmetic operations:
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HELP!!
Determine each percentage by writing a proportion. Round to the nearest tenth if necessary.
What % of 25 is 16?
Answer:
64%
Step-by-step explanation:
16 ÷ 25 = 0.64 = 64%
The mean number of miles that people drive between oil changes is 4550 miles with a population standard deviation of 1470 miles. Suppose that 49 drivers are randomly selected. What is the probability that these drivers have a sample mean greater than 4800 miles? Round your answer to four decimal places.
Answer:
0.1169
Step-by-step explanation:
We solve the question using the z score formula
z = (x-μ)/σ/√n where
x is the raw score = 4800 miles
μ is the population mean = 4550 miles
σ is the population standard deviation = 1470 miles
n is the random number of samples = 49 drivers
Greater than sign = >
For x > 4800 miles
z = 4800 - 4550/1470/√49
= 4800 - 4550/1470/7
= 4800 - 4550/210
= 1.19048
Probability value from Z-Table:
P(x<4800) = 0.88307
P(x>4800) = 1 - P(x<4800)
P(x>4800) = 1 - 0.88307
P(x>4800) = 0.11693
Approximately to 4 decimal places = 0.1169
Therefore, the probability that these drivers have a sample mean greater than 4800 miles is 0.1169
A.
B.
C.
D.
Can someone please get me the answer fast
What is the answer to 7(5-8x) > 147
Answer: x < -2
Step-by-step explanation:
Complete the ratio table.
What is the range? (Worth many points)
20, 19, 7, 14, 13
Please help me with this question!
Answer:
7
Step-by-step explanation:
the range is the difference between the smallest and largest numbers
4x50=??? use a calculator only if you need to!
Answer:
so if you know what
4 x 5 is you can just add a 0 to the end
so 4 x 5 = 20
o now add a 0
the awnser is 200!!
Step-by-step explanation:
Move the numbers to the blanks to order them from least to greatest value.
0.4
9/8
I-21
1/2
-0.89
Answer: -0.89 1-21 0.4 1/2 9/8
Step-by-step explanation:
Answer:
1-21, -0.89, 1/2, 0.4, 9/8
Step-by-step explanation:
What is the slope? (IXL)
Answer:
1/3
Step-by-step explanation:
rise over run
your own words describe the motion of the object shown in the graph be sure to include time travaled distance travald and velocity
Answer:
Step-by-step explanation:
9854
Maisie is watching a movie she has been watching for 36 minutes there are 55 minutes to go how long does the movie last .let m
represent the number of minutes that the movie less right and saw an equation for m
Answer:
Step-by-step explanation:
m= movie time
m=36+55=19 minutes
Ms. Kim's class has 24 students.
.
There are 18 students in the class who study Spanish
The other students in the class study French
In Ms. Kim's class, which of the following is the ratio of students who study Spanish to students who study French?
Solve the equation
3x/ 8 - 4x/3 =4
Answer:
x = -96/23
Step-by-step explanation
[tex]\frac{3x}{8}[/tex] - [tex]\frac{4x}{3}[/tex] = 4
multiply each side of equation by 24 to eliminate denominators
(24) [tex]\frac{3x}{8}[/tex] - [tex]\frac{4x}{3}[/tex] = 4 (24)
3(3x) - 8(4x) = 96
9x - 32x = 96
-23x = 96
x = -96/23
There are 32 females cast in the school play. The ratio of male roles to female roles is 3:8. Therefore, there are males cast in the school play.
Answer:
12
Step-by-step explanation:
There are 32 female casts in a school play
The ratio of male to the female role is 3:8
Therefore the number of male casts in the school play can be calculated as follows
3/8= x/32
Cross multiply
8x = 32×3
8x= 96
x= 96/8
= 12
Hence there are 12 male casts in the school play
The table shows the input, x, and output, y, relationship for a function.
Which function rule describes the relationship between x and y?
f(x)=13x−1
f(x)=−13x−1
f(x)=3x+1
f(x)=3x−1
f(x) = 1/3x -1
I am not sure if it is right but I am 90% sure
Answer: f(x)=1/3x-1
Step-by-step explanation:
attached is full test answers
hope this can help someone
7.95 x 0.034 what does it equal please help
Answer:
0.2703
Step-by-step explanation:
hope this helps
Answer:
it equal means the answer 0.2703
The hanger image below represents a balanced equation
Find the value of h that makes the equation true.
Answer:
5
Step-by-step explanation:
it make balance 9+5=14
plz make me brainliest
A detergent is created by mixing washing soda, borax, and water. The table below shows the composition of three different detergents. Composition of Detergents A B C Washing Soda 0.05 0.15 0.20 Water 0.80 0.80 0.70 Borax 0.15 0.05 0.10 Travis needs to use a combination of the detergents to create 100 ounces of a detergent that is 15% washing soda, 75% water, and 10% borax. Which is true? He will use equal parts of each detergent. He will use more of detergent A than any other detergent. He will use more of detergent B than any other detergent. He will use more of detergent C than any other detergent.
Answer:
He will use more of detergent C than any other detergent.
Step-by-step explanation:
Edge. 2020, just took the quiz
The true statement is He will use more of detergent C than any other detergent.
Detergent:Since the composition of detergents A B C Washing Soda 0.05 0.15 0.20 Water 0.80 0.80 0.70 Borax 0.15 0.05 0.10And, there is 100 ounces of a detergent that is 15% washing soda, 75% water, and 10% boraxSo the detergent C should be more.Find out more information about the Water here:brainly.com/question/4381433?referrer=searchResults
what is the approximate value of c? Round to the nearest tenth
Answer:
Does C have a number or can you just send a picture of the problem
4(2y+3)-2*2. Y=3
Pls help
Answer:
4(2×3+3)-2×2
4(9)-4
36-4
32
Answer:
Hi! The correct answer is 32!
Step-by-step explanation:
Simplify the expression.
hi, i need help with this one. thank u
Answer:
D
Step-by-step explanation:
First, remember two things about translations.
For a function f(x).
A horizontal translation to the right of N units is written as:
f(x - N)
A vertical translation up of N units is written as:
f(x) + N.
Now let's look at the graph.
You can see that:
g(x) is: 4 units at the right of f(x) and 3 units bellow f(x).
Then we have:
g(x) = f(x - 4) - 3.
and f(x) = ∛x
then g(x) = ∛(x - 4) - 3
The correct option is D.
2+2+3+8+3+8+6+4+0+8+4
Answer:
58
Step-by-step explanation:
Which expressions are equivalent to 2
2 Cx-7)- 22x-5)? Check all that asamy
29
26x-7)+(-3)x= (-5)
20*)-217
) -365 - 31-5)
0 2 0 3x - 217 1 + 1-31 1 / x + 1-3,1-3)
Equivalent expressions are expressions with equal values
The equivalent expression of 2(x-7)- 2(2x-5) is -2x -4
The expression is given as:
2(x-7)- 2(2x-5)
Open the bracket
2(x-7)- 2(2x-5) = 2x - 14 -4x + 10
Collect like terms
2(x-7)- 2(2x-5) = 2x -4x - 14 + 10
Evaluate the like terms
2(x-7)- 2(2x-5) = -2x -4
Hence, the equivalent expression of 2(x-7)- 2(2x-5) is -2x -4
Read more about equivalent expressions at:
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I will give brainiest to whoever answers correctly !! can someone smart help me out !!
Answer: Im pretty sure part A is 133$
Step-by-step explanation:
Subtract the sum of a^2 − 2ab + b^2 and 2a^2 + 2ab + b^2 from the sum of a^2 − b^2 and a^2 + ab + 3b^2
Answer:
-a^2 + ab
Step-by-step explanation:
(a^2 - 2ab +b^2) + (2a^2 + 2ab + b2) = 3a^2 + 2b^2
(a^2 - b^2) + (a^2 + ab + 3b^2) = 2a^2 + 2b^2 + ab
subtract the first part from the second part:
(2a^2 + 2b^2 + ab) - (3a^2 + 2b^2) = -a^2 + ab
Consider 8x2 - 48x = -104. Write the equation so that a = 1: x2 + -6 x = -13 Complete the square: x2 – 6x + 9 = –13 + 9 Factor the trinomial and simplify: (x + )² =
Answer:
The roots of the polynomial are;
3 + 2i
and 3-2i
Step-by-step explanation:
Here, we want to solve the given polynomial using the completing the square method
We start by dividing through by 8
This will give;
x^2 - 6x = -13
To complete the square, we simply divide the coefficient of x by 2 and square it
We have this as -6/2 = -3
square it;; = (-3)^2 = 9
Add it to both sides
x^2 - 6x + 9 = -13 + 9
x^2 - 6x + 9 = -4
(x-3)^2 = -4
Find the square root of both sides
x-3 = ±2i
x = 3 + 2i
or x = 3-2i
Answer:
Here's just the answers without all the work for easier reading. Answers are bolded.
Step-by-step explanation:
First problem answer: x2 + -6 x = -13
Second problem answer: x2 – 6x + 9 = –13 + 9
Third problem answer: (x + -3)² = -4
Fourth problem answer: 3 + 2i
Wspólny Ułamek 18 i 6
Answer:
Step-by-step explanation:Numerator
Denominator
What is 18 / 6 simplified?
3⁄1
What is 18 / 6 as a decimal?
3
What is 18 / 6 as a mixed number?
18⁄6 = 3
What is 18 / 6 spelled out?
eighteen sixths
