Answer: [tex][Q - R] + [S - T]=10m+7n-14[/tex]
Step-by-step explanation:
Given : [tex]Q = 7m + 3n[/tex],
[tex]R = 11 -2m[/tex],
[tex]S = n + 5[/tex], and
[tex]T = -m - 3n + 8[/tex]
Now , [tex]Q-R= 7m + 3n-(11 - 2m)[/tex]
[tex]Q-R= 7m +3n-11+2m[/tex] [ ∵ (-)(+)=(-) and (-)(-)=(+)]
[Note : when -1 is outside the parenthesis it indicates that -1 should be multiplied with each of the terms present inside the parenthesis .]
[tex]Q-R= 9m +3n-11[/tex] [Combine like terms.]
[tex]S-T=n + 5-(-m - 3n + 8)[/tex]
[tex]S-T=n + 5+m+3n-8[/tex] [ ∵ (-)(+)=(-) and (-)(-)=(+)]
[tex]S-T=4n +m-3[/tex] [Combine like terms.]
Now, [tex][Q - R] + [S - T]=[9m +3n-11]+[4n +m-3][/tex]
[tex]=9m +3n-11+4n+m-3[/tex]
[tex]=10m+7n-14[/tex] [combine like terms]
Hence, [tex][Q - R] + [S - T]=10m+7n-14[/tex]
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
For Anya's birthday her father gave out colorful birthday hats that were cone shaped. The opening of the bottom of the hat was 3 cm and the height of the cone was 7 cm. Anya fills her hat with candy. What is the exact volume of candy?
J. 65.97 cubic centimeters
K. 20.36 cubic centimeters
L. 16.49 cubic centimeters
M. 56.48 cubic centimeters
Answer:
Step-by-step explanation:
For the florist problem you would do 6 assistance
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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.
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?
Please help ASAP plz it due tomorrow
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.
Certain kinds of goods tend to have inelastic demand; a good usually has inelastic demand if what?
write the standard form of the line that contains a slope of -3/8 and passes through the point (5,-4)
What is the period of the function y = 3 csc x?
The period of the function is 2π.
What is period of the function?The time interval between two waves is known as a Period whereas a function that repeats its values at regular intervals or periods is known as a Periodic Function.
Given:
y = 3 csc x
As, csc(x) carry the reciprocal identity of sin(x).
So, they both have the same period
The period of sin(x) is 2π.
Hence, the period of csc(x) is 2π.
Learn more about period of function here:
https://brainly.com/question/14325171
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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?
Choose the graph of y = four thirdscosthree halvesx
Help with math please I'm helping my daughter
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?
Reduce the following fraction -32abc/64a^2bc^3
Give a big-o estimate for the number of operations (where an operation is an addition or a multiplication) used in this segment of an algorithm. t := 0 for i := 1to3 for j := 1to4 t := t + ij
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
The sales tax on a $45 DVD player is $3.38. What is the sales tax rate to the nearest tenth of a percent?
Which ordered pair would form a proportional relationship with the point graphed below? mc012-1.jpg
Answer: (-30 , 10) Option C
In given question, some information is missing.
Complete question is :
Which ordered pair would form a proportional relationship with the point graphed below?
(–10, 30)
(30, –15)
(–30, 10)
(80, –30)
Explanation:
In graph, given point's coordinate is (60 , -20)
We need to find the proportion of the given point (60 , -20)
Proportion is number considered in comparative relation.
So,
[tex] \frac{60}{(-20)} [/tex]
= [tex] -\frac{60}{20} [/tex]
Divide by common factor 2 both numerator & denominator.
= [tex] -\frac{30}{10} [/tex]
So, proportion poit's coordinate is (-30 , 10) Option C
That's the final answer.
I hope it will help you.
The polynomial x3 + 64 is an example of a
A.sum of cubes
B.difference of cubes
C.difference of squares
D.perfect-square trinomial
A.sum of cubes is the correct answer on E.D.G.U
Good luck!
Find the points on the curve y = 2x3 + 3x2 − 12x + 1 where the tangent line is horizontal. (x, y) = (smaller x-value) (x, y) = (larger x-value)
A pack of six cans of coffee cost 12$ . How much would 15 cans of coffee cost
The cost for 15 cans of coffee is found by first determining the cost per single can, which is $2, and then multiplying this cost by the number of cans, resulting in a total of $30 for 15 cans.
To calculate the cost of 15 cans of coffee when a pack of six cans costs $12, we first need to find the cost of a single can. To do this, we divide the cost of the pack by the number of cans in the pack:
Cost per can = Total cost of the pack / Number of cans in the pack
Cost per can = $12 / 6 = $2
Now that we know the cost of one can, we can calculate the cost for 15 cans:
Total cost for 15 cans = Cost per can * Number of cans
Total cost for 15 cans = $2 * 15 = $30
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
Giving brainiest with legit answer is my answers correct?
What is the volume of this triangular pyramid?
What was the final order that Chris placed at the pizza shack
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
You run around the perimeter of a baseball field at a rate of at least 11 feet per second. Which of the following are possible amounts of time that it takes you to run around the baseball field?
The correct answer for your question is 79 seconds.
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.
At middle ave school 1/3 of the students are on the track team.the track coach offered to buy a pizza or subs for everyone on the team.of the students for whom the coach bought good 3/5 ordered pizza.what fraction of the students at middle ave school atenpizza
Final answer:
To determine how many students at Middle Ave School ate pizza, multiply the fraction on the track team (1/3) by those who ordered pizza (3/5), which equals 3/15 or simplified to 1/5 of the students.
Explanation:
To find out what fraction of the students at Middle Ave School ate pizza, you need to multiply the fractions that represent the students on the track team and those who ordered pizza. Initially, we know that 1/3 of the students are on the track team. Of these students, 3/5 ordered pizza. Multiplying these two fractions gives us the fraction of the entire student body that ordered pizza.
To multiply fractions, you multiply the numerators together and then the denominators together. So, for this problem, you'd multiply 1 by 3 to get the numerator, and then 3 by 5 to get the denominator:
1/3 * 3/5 = 3/15
But 3/15 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 3:
3/15 = 1/5
Therefore, 1/5 of the students at Middle Ave School ate pizza.
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]