Answer:
The two numbers are:
8 and 13
Step-by-step explanation:
a = 2b - 3 Eq. 1
a + b = 21 Eq. 2
Replacing Eq. 1 in Eq. 2:
(2b-3) + b = 21
3b - 3 = 21
3b = 21 + 3
3b = 24
b = 24/3
b = 8
from Eq. 1
a = 2*8 - 3
a = 16 - 3
a = 13
Check:
From Eq. 2:
a + b = 21
13 + 8 = 21
Answer:
408 sq. in.
Step-by-step explanation:
The total surface area of the pyramid is the sum of all 4 faces (each of them a triangle) and square base.
Triangle area is where b is base and h is height.
base of triangle is 12 and height is 11
So area of each triangle is
There are 4 of them, so total is 66 * 4 = 264
Now, square has an area of where s is the side length.
It is given s = 12, so the area of the square base is:
Total Surface Area of the Pyramid is 264 + 144 = 408 sq. in.
<span>$220
000 is the total cost of the house that a buyer bought.
Prior to that, he paid 10% of the amount for down payment.
Now, we need to find the amount he will need to pay to paid off the house he
bought.
=> 10% = 10 / 100
=> 0.1
We already have the value of 10%, now multiply this to the total amount of the
house
=> 220 000 x 0.1
=> 22 000 – he paid this amount for down payment.
Now, let’s subtract his down payment from the total amount.
=> $220 000 – 22 000
=> $198 000
Thus, the home buyer will pay 198 000 to paid off the house he bought.
</span>
<span>You want to purchase a blender for $47.99. The sales tax rate is 8.25%. How much money do you need for your purchase, including sales tax?
</span>51.949175 = 51.95
Answer:
Step-by-step explanation:
Let's solve for c.
6c−9d=111
Step 1: Add 9d to both sides.
6c−9d+9d=111+9d
6c=9d+111
Step 2: Divide both sides by 6.
6c
6
=
9d+111
6c=3/2 d+37/2
Answer:
c= 3/2 d+37/2
Second one
Let's solve for c.
5c−9d=103
Step 1: Add 9d to both sides.
5c−9d+9d=103+9d
5c=9d+103
Step 2: Divide both sides by 5.
5c
5
=
9d+103
5c =9/5 d+103/5