The smallest possible value for the width of the rectangle is 9 meters, given that the perimeter must be greater than or equal to 108 meters and the length is 5 times the width.
The question asks for the possible values of the width of a rectangle where the length is 5 times the width and the perimeter is greater than or equal to 108 meters.
Step-by-step explanation:
Let's call the width of the rectangle w. The length is then 5w. The perimeter P of a rectangle is given by the formula P = 2l + 2w, where l is the length and w is the width.
In this case, P = 2(5w) + 2w = 10w + 2w = 12w. Now, we know that P >= 108, so 12w >= 108.
To find the smallest value for w, we divide both sides by 12: w >= 9. Thus, the width of the rectangle must be at least 9 meters.
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A vendor pays a rock band 1/3 of the total profit from T-shirts and sweatshirts sold at every concert. The vendor paid the rock band $726 after the last concert. If the profit from T-shirts sales was $1,632, what was the profit from sweatshirt sales? Enter your answer in the box.
Answer:
$546
Step-by-step explanation:
The profit from sweatshirt sales was $302.
Explanation:To find the profit from sweatshirt sales, we need to find the total profit from T-shirts and sweatshirts and then calculate 1/3 of that amount. We know that the profit from T-shirt sales is $1,632 and the vendor paid the rock band $726. Let's use these numbers to calculate the profit from sweatshirt sales:
First, find the total profit from T-shirts and sweatshirts by subtracting the payment to the rock band from the total profit: $1,632 - $726 = $906.Next, divide the total profit by 3 to find the profit from sweatshirt sales: $906 ÷ 3 = $302.Therefore, the profit from sweatshirt sales was $302.
The points plotted below satisfy a polynomial equation. What type of extreme value does the graph have in the part that is visible?
The data in the table illustrate a linear function x -3, 0, 3, 6 y -6, -2, 2, 6 what is the slope of the linear function?
Answer:
[tex]slope=\dfrac{4}{3}[/tex]
Step-by-step explanation:
Given: The table of linear function.
x : -3 , 0 , 3, 6
y : -6 , -2 , 2, 6
Slope=change in y over change in x
[tex]slope=\dfrac{-2+6}{0+3}=\dfrac{4}{3}[/tex]
Passing point: (0,-2)
Point slope form:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y+2=\dfrac{4}{3}(x-0)[/tex]
[tex]y=\dfrac{4}{3}x-2[/tex]
Slope of the linear function [tex]=\dfrac{4}{3}[/tex]
Linear function is [tex]y=\dfrac{4}{3}x-2[/tex]
Hence, The slope of linear function is [tex]\dfrac{4}{3}[/tex]
Which series of transformations will always carry an image onto the original figure? reflection over the y-axis followed by reflection over the x-axis
rotation by 180° about the origin
reflection over the x-axis followed by reflection over the y-axis
rotation by 360° about the origin
A rotation by 360° about the origin will always carry an image onto the original figure.
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
A rotation by 360° about the origin will always carry an image onto the original figure.
Find out more on transformation at: https://brainly.com/question/4289712
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subtract 1/4 from 7/8
7/8 - 1/4
rewrite 1/4 with the same denominator as 7/8
1/4 = 2/8
now you have 7/8 - 2/8 = 5/8
answer is 5/8
write the standard form of the line that contains a slope of -3/8 and passes through the point (5,-4)
What was the final order that Chris placed at the pizza shack
50 points help below
A taxi travels 25 km east of airport. Then it travels from that point to a point that is 40 km west of the airport. Finally the taxi returns the airport. How far did the taxi travel?
Write the following statement as an equation and solve. Jake Drewrey, owner of Jake's Landscape Service, knows that one of his fertilizer tanks holds four times as many gallons of liquid fertilizer as a second tank. The two tanks together hold 286 gal. If both tanks are filled to capacity, how many gallons of fertilizer does each tank hold?
Final answer:
The equation is : x + 4x = 286, where x represents the smaller tank's capacity.
Explanation:
To write the statement as an equation and solve it, let's denote the smaller tank's capacity as x gallons. Therefore, the larger tank would be 4x gallons because it holds four times as much. The problem states that together they hold 286 gallons, which gives us the equation:
x + 4x = 286
Combining like terms, we get 5x = 286. Dividing both sides of the equation by 5 to solve for x, we find:
x = 286 / 5
x = 57.2
Therefore, the smaller tank holds 57.2 gallons, and the larger tank holds 4 times that amount, which is 57.2 * 4 = 228.8 gallons.
Which ordered pair would form a proportional relationship with the point graphed below? mc012-1.jpg
Answer: (-30 , 10) Option C
In given question, some information is missing.
Complete question is :
Which ordered pair would form a proportional relationship with the point graphed below?
(–10, 30)
(30, –15)
(–30, 10)
(80, –30)
Explanation:
In graph, given point's coordinate is (60 , -20)
We need to find the proportion of the given point (60 , -20)
Proportion is number considered in comparative relation.
So,
[tex] \frac{60}{(-20)} [/tex]
= [tex] -\frac{60}{20} [/tex]
Divide by common factor 2 both numerator & denominator.
= [tex] -\frac{30}{10} [/tex]
So, proportion poit's coordinate is (-30 , 10) Option C
That's the final answer.
I hope it will help you.
find the domain and the range of the function g(x)=5(x+1)^2+4
determine e which statement is true about the zeros of the function graphed below
Giving brainiest with legit answer is my answers correct?
Find the points on the curve y = 2x3 + 3x2 − 12x + 1 where the tangent line is horizontal. (x, y) = (smaller x-value) (x, y) = (larger x-value)
The polynomial x3 + 64 is an example of a
A.sum of cubes
B.difference of cubes
C.difference of squares
D.perfect-square trinomial
A.sum of cubes is the correct answer on E.D.G.U
Good luck!
Reduce the following fraction -32abc/64a^2bc^3
simplify (5x-8)+(7x+10)
What is the volume of this triangular pyramid?
would you measure the length of a bench in centimeters or in meters. explain you choice
Answer:
Meters
Step-by-step explanation:
Reason:
Usually, bench length is bigger than then length of the chair and the table.
So it will be measured using meters. If we use meter it will easy to measure and accurate because it somewhat bigger length than chair and table.
1 meter = 100 centimeters.
The standard length of a bench will 1.5 meters to 2 meters. Usually 3 to 4 people will sit on the bench.
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For a game, Tony has a rectangle drawn on a piece of paper that has an area of 18 in.2. What should he do to the dimensions in order to have a similar rectangle that's area is only 2 in.2?
Divide them by nine.
Divide them by six.
Divide them by three.
multiply them by three.
Answer:
Area of Original rectangle = 18 in²→→Pre image
Area of Rectangle after Dilation =2 in²→→Image
As, Pre image and image will be similar to each other.
And size of rectangle that is image is [tex]\frac{2}{18}=\frac{1}{9}[/tex] of the Original rectangle called Pre image.
So, option A, Divide the area of original rectangle by 9, that is dilation factor of [tex]\frac{1}{9}[/tex] has taken place.
Divide them by nine.
A card is drawn at random from a well-shuffled deck of 52 cards. what is the probability of drawing a face card or a 6?
The sales tax on a $45 DVD player is $3.38. What is the sales tax rate to the nearest tenth of a percent?
Choose the graph of y = four thirdscosthree halvesx
Select two fractions that can be written with a denominator of 24.
What answer is it.
1/6 1/5 5/7 9/10 1/9 7/8
A recycling box holds 151,875 cm3 of material and has a square base with sides measuring 45 cm. What is the height of the recycling box? a. 33.8 cm b. 75 cm c. 1687.5 cm d. 3375 cm
Help with math please I'm helping my daughter
Anthony wants to buy the same number of hats for 6 of his friends. He has $108 dollars, and each hat cost $8. what is the largest number of hats that Anthony buys for each of his friends?
What are the roots of the polynomial equation x^4 + x^2 = 4x^3 -12x +12 ? Use a graphing calculator and a system of equations. Round noninteger roots to the nearest hundredth.
A)–12
B) –2.73, 2.73
C) –1.73, 1.73
D) 12
Answer : option C
Explanation:
there will be 4 roots for the given polynomial but in graph you will see 3 points because (2,0) is repeating two times
we can see the root graphically
the points that intersect x-axis are the roots
Here, x-axis is cut at 3 points so, these points will be the root of given polynomial.
please see the attached graph