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djyliett [7]
3 years ago
15

The windows of a downtown office building are arranged so that each floor has 6 fewer windows than the floor below. If the groun

d floor has 52 windows, how many windows are on the 8th floor?
Mathematics
1 answer:
grigory [225]3 years ago
5 0

Answer:

10

Step-by-step explanation:

This is an arithmetic sequence.  The common difference is -6, and the first term is 52.

a = 52 − 6(n − 1)

When n = 8:

a = 52 − 6(8 − 1)

a = 52 − 42

a = 10

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I need help it’s a quiz
solmaris [256]

Answer:

Question 6: 26 crowns plus 15 ribbons.

Question 7: 10 footballs plus 42 basketballs.

Step-by-step explanation:

Question 6 explanation: Since the expression is 22 crowns plus 13 ribbons plus 2 ribbons plus 4 crowns, you can think of the different items as variables in an equation. Picture crowns are the variable x, and ribbons as the variable y, this will help you solve the equation in an easier way that allows you to comprehend each step better. The equation will now be 22x+13y+2y+4x, in order to find how many x (crowns) and y (ribbons) you have, you need to combine like terms in the expression. In other words, add the terms with the variable x together, and add the terms with the variable y together. Simplified, the equation will be 26x+15y. Since the variables x and y were used to represent crowns and ribbons respectively, that means the correct answer is 26 crowns plus 15 ribbons.

Question 7 explanation: You can use the same method as you did in question 6, think of footballs and basketballs as the variables x and y respectively. The equation will be 16x+38y-6x+4y = 10x+42y. Since the variable x was used to represent footballs and the variable y was used to represent basketballs, that means the correct answer would be 10 footballs plus 42 basketballs.

4 0
2 years ago
A real estate agent works on 7% commission. What is her commission on a house that she sold for $210,600?
loris [4]
To find how much the real estate agent made, we must multiply the two. 
Note: It is crucial that you put 7% as a decimal. 

210600*0.07= 14742

Therefore, the real estate agent made $14,742

Hope this helps!
8 0
3 years ago
Please help me algebra 2 question
iren [92.7K]
Set the two equal to each other and solve for x

-2x+1 = -2x²+1
-2x= -2x²
x=x²
x²-x=0
x(x-1) =0, so x is either 0 or 1

two solutions, namely (0,1) and (1,1)
5 0
2 years ago
Sharon and Jacob started at the same place. Jacob walked 3 m north and then 4 m west. Sharon walked 5 m south and 12 m east. How
Ilya [14]

Consider the coordinate plane:

1. The origin is the point where Sharon and Jacob started - (0,0).

2. North - positive y-direction, south - negetive y-direction.

3. East - positive x-direction, west - negative x-direction.

Then,

  • if Jacob walked 3 m north and then 4 m west, the point where he is now has coordinates (-4,3);
  • if Sharon walked 5 m south and 12 m east, the point where she is now has coordinates (12,-5).

The distance between two points with coordinates (x_1,y_1) and (x_2,y_2) can be calculated using formula

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}.

Therefore, the distance between  Jacob and Sharon is

D=\sqrt{(12-(-4))^2+(-5-3)^2}=\sqrt{16^2+8^2}=\sqrt{256+64}=\sqrt{320}=8\sqrt{5}\approx 11.18\ m.

7 0
3 years ago
Y=-4.3x-1.3<br> Y=1.7x+4.7
Contact [7]

Answer:

0.566666666

Step-by-step explanation:

5 0
3 years ago
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