Answer:
(The solution is (4, -11).
Step-by-stp explanation:
Let f(x) = g(x) = y:
y = 3x − 23
y = -4.5x + 7 Subtract the second equation from the first to eliminate y:
0 = 7.5x - 30
7.5x = 30
x = 4
Plug this into the first equation:
y = 3(4) - 23
y = -11.
Hardest thing like an object is metal.
Hardest thing like something someone struggles with is geometry.
Answer:
8 miles per hour.
Step-by-step explanation:
24miles in 4 hours = 24/4=6 miles per hour.
24 miles in 3 hours = 24/3=8 miles per hour. The boat going with the current of the river is traveling at 8 miles per hour.
Answer:
A. 2564 cm^2
Step-by-step explanation:
There are two triangles (Which both are the same) and three different rectangles.
1. Let's solve the area of the triangles first!
Formula: bh(1/2)
10(26)(1/2)
130
2. Now, let's multiply by 2 since there's two of them:
130(2) = 260
3. So, we got 260. Let's find the area of the three rectangles!
Formula: bh
Rectangle A: 28(36) = 1008
Rectangle B: 10(36) = 360
Rectangle C: 26(36) = 936
4. Add the area of the triangles and the rectangles!
260 + 1008 + 360 + 936 = 2564
So the surface area is 2564 cm^2
Hope this helps! <3
Answer
• A. Equation: 25(5 + x) = 325
,
• B. Answer: 8 dogs
Explanation
Given
• Charge to wash a dog: $25.
• She washed 5 dogs on Saturday and then some more on Sunday.
• She made $325 for the weekend.
Procedure
She charges $25 per wash, she made $325 for the weekend, and we know that on Saturday she washed 5 dogs, but we don't know how many she washed on Sunday. Thus, we have to build an equation in which the number of dogs washed on Sunday is represented by x (as we do not know the real number).
Considering that the total money made has to be equal to the multiplication of the charge times the dogs washed, the equation is:
![25(5+x)=325](https://tex.z-dn.net/?f=25%285%2Bx%29%3D325)
Then, we have to solve for x to know how many dogs did she wash on Sunday.
0. Multiplying the parenthesis
![125+25x=325](https://tex.z-dn.net/?f=125%2B25x%3D325)
<em>2. Subtracting 125 from both sides of the equation</em>
![125-125+25x=325-125](https://tex.z-dn.net/?f=125-125%2B25x%3D325-125)
![25x=200](https://tex.z-dn.net/?f=25x%3D200)
<em>3. Dividing both sides of the equation against 25</em>
![\frac{25x}{25}=\frac{200}{25}](https://tex.z-dn.net/?f=%5Cfrac%7B25x%7D%7B25%7D%3D%5Cfrac%7B200%7D%7B25%7D)