The dimensions of the rectangle are 6.4 and 12.8 respectively.
What is the perimeter of the rectangle?The formula for calculating the perimeter of a rectangle is given by :
P = 2 ( L + w )
The length of a rectangle is twice the width. And the perimeter is 32 cm more than the width.
L = 2w
Now substituting into the formula , we have
Width: x
Length: 2x
Perimeter P = 2 ( L + w ) = 2(3x) = 6x
Since 32 cm more than width means x+32
6x = x + 32
5x = 32
x = 6.4
Hence, Dimension is 6.4 × 12.8.
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In a company, it takes 4 employees 4 days to complete a task. It would take 2 employees 8 days to complete the same task. Which function can be used to represent e, the number of employees working on the task, and d, the number of days it takes them to complete that task?
The function representing the relationship between the number of employees and the number of days it takes to complete the task is[tex]\[ e \times d = 16 \][/tex].
To represent the relationship between the number of employees (e) and the number of days (d) it takes to complete a task, we can use the formula:
[tex]\[ e \times d = k \][/tex]
where k is a constant representing the amount of work to be done.
Given the information that 4 employees complete the task in 4 days, and 2 employees complete it in 8 days, we can set up two equations using the formula:
[tex]\[ 4 \times 4 = k \][/tex]
[tex]\[ 2 \times 8 = k \][/tex]
Now, solve each equation for ( k):
[tex]\[ 4 \times 4 = 16 \][/tex]
[tex]\[ 2 \times 8 = 16 \][/tex]
Since both equations give us the same constant ( k ), we can conclude that:
[tex]\[ e \times d = 16 \][/tex]
Therefore, the function representing the relationship between the number of employees and the number of days it takes to complete the task is:
[tex]\[ e \times d = 16 \][/tex]
Add -12+20, Then divide the sum by -4
If y = 15 when X=12 find Y when X=32
By acknowledging the linear relationship between X and Y, we set up a proportion based on the given values and solve for Y when X = 32, finding Y approximately equals 40.
Explanation:This problem relates to the concept of
linear relationships
in mathematics. By understanding the relationship between two variables x and y, you can find the value of one by knowing the value of the other. Here, if y = 15 when X = 12, we can say that the ratio of y to x is constant. Therefore to find the value of Y when X = 32, we will maintain the same ratio. Now, set up a proportion 15/12 = Y/32 and solve for Y. Cross-multiplication gives us: Y = 15 * 32 / 12. After calculating this, Y equals approximately 40. Therefore, the value of Y when X is 32 will be around 40, keeping the relationship linear.
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1) which expression forms an equation with the given expression?
18-4•3=______
A. 8•4÷4
B. 14-11•2
C. 3(12-9)
D. 12÷3+3
2) choose the expression that completes the equation
24÷6+20=_____
A. 3(7+1)
B. 2(7+10)
C. 4(4+3)
D. 3(7+7)
HELP PLEASEEE
Suppose f(x) = x2 and g(x) = 4x2. Which statement best compares the graph of g(x) with the graph of f(x)?
A. The graph of g(x) is the graph of f(x) vertically compressed by a factor of 4.
B. The graph of g(x) is the graph of f(x) horizontally stretched by a factor of 4.
C. The graph of g(x) is the graph of f(x) vertically stretched by a factor of 4.
D. The graph of g(x) is the graph of f(x) shifted 4 units left.
relative maxima and relative minima are called relative_____.
Hint: first 2 letters are ex
Relative maxima and relative minima are called relative extrema.
Given:
The given statement is:
Relative maxima and relative minima are called relative_____.
To find:
The correct word to fill the given blank.
Explanation:
Relative maxima: If the function changes from increasing to decreasing, then the turning point is known as relative maxima.
Relative minima: If the function changes from decreasing to increasing, then the turning point is known as relative minima.
Relative extrema: The turning points relative maxima and relative minima are known as relative extrema.
Therefore, the relative maxima and relative minima are called relative extrema.
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what is 6 divided by 46.8
Which equation is the inverse of y = x2 – 36?
Answer:
The given equation of the curve is
y= x² - 36
To find it's inverse we have to convert y in terms of x.
So, adding 36 to both sides of equation
→ y + 36=x² -36 + 36
→ y + 36 = x²
→ x² = y+ 36
→ x =[tex]\pm[/tex][tex]\sqrt{y+36}[/tex]
Now, to find inverse you can replace x by y, so by replacing x by y, the above equation becomes
y =[tex]\pm\sqrt{x+36}[/tex]
Second option is correct.
Use the Pythagorean Theorem to find the missing measure when a = 24 and b = 7.
Which statement describes similar figures?
two figures that are the same size
two figures that are the same size but a different shape
two figures that are the same shape but different sizes
none of the above
A scatterplot is produced to compare the size of a lake to the number of fish that are in it. There are 15 data points, each representing a different lake. The points are widely dispersed on the scatterplot with no pattern of grouping. Interpret what the results of the scatterplot tell you about the relationship between the two variables.
Answer:Since there is no cluster formed in the scatterplot, the two variables are not related. Therefore, based on the data shown in the scatterplot, the number of fish in a lake is not dependent on the size of the lake.
Step-by-step explanation:
A clothing store owner tracks the amount of money the last 10 customers spend in her store. The owner concludes that the typical amount spent by any customer is $28.80. The owner's conclusion
A) is valid. The last 10 customers only bought sale items.
B) is correct. This is the average amount spent by any customer.
C) is invalid. This is not a good representation of all customers.
D) is unfair. The last ten people in the store may have been tired.
Which will result in a difference of squares? (–7x + 4)(–7x + 4) (–7x + 4)(4 – 7x) (–7x + 4)(–7x – 4) (–7x + 4)(7x – 4)
Answer:
(–7x + 4)(–7x – 4) Sign changes in the middle of both parenthesis , so this will result in difference of squares
Step-by-step explanation:
The formula for difference of squares
[tex]a^2 - b^2 =(a+b)(a-b)[/tex]
(–7x + 4)(–7x + 4) both parenthesis having same terms so this will not result in difference of squares
(–7x + 4)(4 – 7x) both parenthesis having same terms so this will not result in difference of squares
(–7x + 4)(–7x – 4) Sign changes in the middle of both parenthesis , so this will result in difference of squares
(–7x + 4)(7x – 4) sign changes for both terms in both parenthesis so this will not result in difference of squares
If George received $ 78.00 for his work at Weaver's Store, and he was paid $ 6.00 per hour, how many hours did he work?
Kate earns $8.50 per hour. How much money will she earn after working 8 hours? She will earn $.
Which of the following would eliminate the variable on the left side of the given equation?
36 - 19w = -6w + 41
A.) add -19w
B.) add 6w
C.) add 19w
D.) add -36
n is the set of real number that are factors of 36
decimals between 3.0 and 3.8 with an interval of 0.2 between each pair of decimals
Answer:
Decimals between 3.0 and 3.8 with an interval of 0.2 between each pair of decimals are:
3.2,3.4 and 3.6
Step-by-step explanation:
We have to find decimals between 3.0 and 3.8 with an interval of 0.2 between each pair of decimals
3.0
3.0+0.2= 3.2
3.2+0.2= 3.4
3.4+0.2= 3.6
3.6+0.2= 3.8
Hence, decimals between 3.0 and 3.8 with an interval of 0.2 between each pair of decimals are:
3.2,3.4 and 3.6
What is the slope ? Simplify your answer and write it as a proper fraction improper fraction or integer
If you travel 156 miles on 4 gallons of gasoline how far can you travel on 12 gallons how many miles on 6 gallons
You can travel a distance of 468 miles on 12 gallons of gasoline and a distance of 234 miles on 6 gallons of gasoline.
What is Proportion?Proportion is the setting of two or more ratios to be equal.
That is, if there is a ratio between a and b and another ratio between c and d, then we can say that,
a : b = c : d ⇒ a/b = c/d ⇒ a d = b c
We have,
Distance travelled is 156 miles on 4 gallons of gasoline.
We have to find the distance travelled on 12 gallons and 6 gallons of gasoline.
Let x be the distance travelled on 12 gallons of gasoline and y be the distance travelled on 6 gallons of gasoline.
We have a proportional relation here,
156 : 4 = x : 12 = y : 6
First taking the relation,
156 : 4 = x : 12
⇒ 156/4 = x/12
⇒ 39 = x/12
⇒ x = 39 × 12
⇒ x = 468
Taking the second relation,
156 : 4 = y : 6
⇒ 156/4 = y/6
⇒ 39 = y/6
⇒ y = 39 × 6
⇒ y = 234
Hence you can travel 468 miles on 12 gallons and 234 miles on 6 gallons.
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Hannah bought a jacket on sale for 20% off. The jacket originally costs $48. How much money did Hannah save by buying the jacket on sale?
$9.60
$2.00
$4.40
$10.30
Introduction to addition or subtraction of fractions with different denominator 3/4-1/8
How would you graph the solution set of ≤ -18?
closed circle on -3 and shaded to the right
closed circle on -3 and shaded to the left
closed circle on -108 and shaded to the right
closed circle on -108 and shaded to the left
Answer:
Closed circle on -108 and shaded to the left, I took the same lesson and got 100%
Step-by-step explanation:
But your missing part of the question, it's how would you graph the solution set of x/-6 ≤ -18?
What is a quick way to determine which savings account will pay the most interest?
For a right triangle with an altitude of 12 and a base of 16, find the length of the hypotenuse.
An equilateral triangle has a perimeter of 3x+9. what is the length of each side of the triangle
Ricarda earns a $25 allowance each week. How much allowance will she earn after 7 weeks. Explain how to use mental math to solve.
What's the ordered pair ?
2. Consider the function . a.) Find the inverse of f(x) and name it g(x). Show and explain your work. b.) Use composition to show that f(x) and g(x) are inverses of each other. c.) Draw the graphs of f(x) and g(x) on the same coordinate plane. Explain what about your graph shows that the functions are inverses of each other.
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Which ordered pairs are solutions to the inequality x+3y≥−8?
Select each correct answer.
(−6, 0)
(−1, −2)
(−5, −1)
(−16, 2)
(0, −3)
Answer:
(−6, 0) , (−1, −2) and (−5, −1)
Step-by-step explanation:
The given inequality is x+3y ≥ −8
Substitute all the given points in this inequality and check which points satisfy.
For (−6, 0)
-6+3(0) ≥ −8
- 6 + 0 ≥ −8
- 6 ≥ −8 => True.
Hence, (−6, 0) is a solution.
For (−1, −2)
-1 + 3(-2) ≥ −8
-1 - 6 ≥ −8
- 7 ≥ −8 => True.
Hence, (−1, −2) is a solution.
For (−5, −1)
-5 + 3 (-1) ≥ −8
- 5 -3 ≥ −8
-8 ≥ −8=> True.
Hence, (−5, −1) is a solution.
For (−16, 2)
-16 +3 (2) ≥ −8
-16 + 6 ≥ −8
-10≥ −8 => False.
Hence,(−16, 2) is not a solution.
For (0, -3)
0 + 3(-3) ≥ −8
-9 ≥ −8=> False.
Hence, (0, -3) is not a solution.
Therefore, below ordered pairs are solutions of the given inequality
(−6, 0) , (−1, −2) and (−5, −1)