Simplify 17d-5e+13d-7e

Answers

Answer 1
Answer: 17d-5e+13d-7e = (17d+13d)-(5e+7e)=\boxed {30d-12e}
Answer 2
Answer: 17d-5e+13d-7e=30d-12e

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Let s be an integer. Alonso claims that -s must always be less than 0. IIiana claims that -s is only sometimes less than 0. Whose statement is correct? Help please.

Answers

Iliana is correct since an integer means a whole number that is not a fraction, which includes negative AND positive numbers. If s=4 than -s is negative (-4) But if we plug in a negative integer, like -5, the negative signs are eliminated and it becomes positive, therefore Alonso is wrong (-s=-(-5)=5) If the question was about a natural number Alonso would have been right since natural numbers are only from 0 and above

A spinner is divided into many sections of equal size. Some sections are red, some are blue and the remaining are green. The probability of the arrow landing on a section colored red is 9/20. The probability of the arrow landing on a section colored blue is 6/20. What is the probability of the arrow landing on a green-colored section? A. 15/20
B. 11/20
C. 6/20
D. 5/20

Answers

It’s D. 9/20 + 6/20 = 15/20, which is the probability of getting green and red combined. Since you want to find the probability of landing on the green section, you subtract 15/20 from 20/20 to get 5/20

A pair of shoes usually sells for $55. If the shoes are 40% off, and sales tax is 6%, what is the total price of the shoes, including tax?

Answers

Answer:

i DONT KNOW SORY


Step-by-step explanation:


Fill out the function table for this
equation: y = x + 5

Answers

Function Table Tutorial:

We start the function table at the y-intercept, which is listed as 5 in this equation. Since this is at the y-intercept, the x-value would be 0.

(0,5)

Next you use the slope to find the next x and y values. The slope is x, or 1. So whenever you move up a 1 x-value, you'll also move up 1 y-value.

(1,6)

A thing to consider is that you can just plug in any x-value you want and then you can solve the equation to get the y-value that goes with it.

Example:

y = x + 5 --->  y = 2 + 5 ---> y = 7

By doing this, you can easily get all of the functions in the table.(

The first few functions of y = x + 5:

(0,5)

(1,6)

(2,7)

(3,8)

(4,9)

(5,10)

(6,11)

(7,12)

(8,13)

(9,14)

(10,15)

Hope this helps, :)

Answer:

Step-by-step explanation:

(-2,3)

(-1,4)

(0,5)

(1,6)

(2,7)

plug in any numbers for x and solve for y. normally I recommend you to do -2,-1,0,1,2 for the x-values

If (8, −9) and (6, −3) are the endpoints of the diameter of a circle, what is the equation of the circle?

Answers

(x-7)^(2) + (y+6)^(2) = 10 is the equation of the required circle.

Step-by-step explanation:

Step 1 :

Let A = (8,-9) and B = (6,-3) be the endpoints of the diameter of the given circle.

We need to determine the circle's equation with this diameter

Step 2 :

The mid point of the diameter will be center of the required circle.

Let M = (x,y) be the mid point of the circle.

So  we have x = (8+6)÷ 2 , y = ((-9) + (-3)) ÷ 2

M = ( 7, -6) is the midpoint of the diameter and the center of the circle.

Step 3 :

The radius of the circle is  distance between  midpoint and any one of the end point of the diameter that is  distance between  point A(8,-9) and  M ( 7,-6)

Distance between the 2 points (x_(1) ,y_(1)) and (x_(2) ,y_(2)) is given by

\sqrt{(x_(2)-x_(1))^(2)+ (y_(2)-y_(1))^(2) }

So distance between  A(8,-9) and  M ( 7,-6)  =  \sqrt{(7-8)^(2)+ (-6-(-9))^(2) }

                                                                        =  \sqrt{(1)^(2)+ (3)^(2) } = √(10 )

Hence the radius r is √(10)

Step 4 :

The equation of circle with center (a,b) = (7,-6) and radius r = √(10) is given by

(x-a)^(2) + (y-b)^(2) = r^(2)

=> (x-7)^(2) + (y-(-6))^(2) = (√(10) )^(2)

=> (x-7)^(2) + (y+6)^(2) = 10 is equation of the required circle.

Step 5 :

Answer :

(x-7)^(2) + (y+6)^(2) = 10  is  equation of the required circle.

Find the volume ofthe prism7.8.crn1을ft3 ftcm41-41981312ran

Answers

convert to impropoer then multiply
3 and 1/2=7/2
2 and 1/4=9/4
1 and 1/3=4/3

7/2 times 9/4 times 4/3=(7*9*4)/(2*4*3)=252/24=21/2=10 and 1/2 ft^3