Answer:
*In Explanation
Step-by-step explanation:
<u>1) Start by just substituting the value of x (given in equation 1) into the second equation:</u>
y = 3x - 1
y = 3(2) - 1
y = 6-1 = 5
<u>2) Since both equations have x on one side, make both equations equal to one another:</u>
2y + 4 = 9 - 3y
<u>Solve for y:</u>
5y = 5
y = 1
<u>Plug y = 1 into either one of the given equations and solve for x:</u>
I'll use first equation:
x = 2y + 4
x = 2(1) + 4
x = 6
<u>3) When substituting X into the second equation, remember to use parenthesis:</u>
The student was substituting x from equation 1 into equation 2, but they forgot to multiply ALL of 2y + 3 by 2.
x = 2y + 3
Substitute into 2nd eqn:
y = 2(2y + 3) - 9
The side length of the square base is 18 inches and the height of the pyramid is 9 inches.
Step-by-step explanation:
Step 1:
The volume of a square pyramid is calculated by multiplying the square of the base edge with the height of the pyramid and 
.
The volume of a square pyramid, 
Step 2:
From the given diagram, the base edge is the length of the four base edges which is x inches in this pyramid. a = x inches.
The height of the pyramid is from the base to the top, h = 
inches .
The volume of a square pyramid, 
Substituting the known values, we get
![x^{3} = 6(972) = 5,832. x = \sqrt[3]{5,832} = 18.](https://tex.z-dn.net/?f=x%5E%7B3%7D%20%3D%206%28972%29%20%3D%205%2C832.%20x%20%3D%20%5Csqrt%5B3%5D%7B5%2C832%7D%20%3D%2018.)
So x is 18 inches long.
The side length 
inches.
The height of the pyramid 
inches.
16/-8=-2
Whenever dividing a -negative number and +positive number= number will be always -
3 3/7 / 1 1/7= 24/7 *7/8= 3 ( Cross out 7 and 7, divide by 1). Cross out 8 and 24 and divide by 8) ( Also always flip over the second fraction only when dividing)
3 3/7= 24/7 because multiply the denominator and whole number. 3*7=21
Add 21 with the numerator (3)= 21+3=24
-12.2 / (-6.1)=2
Whenever dividing two - negative numbers= + positive number
-2 2/5 / 4/5= -12/5*5/4=-3 Cross out 5 and 5- divide by 5. Cross out 4 and -12, divide by 4
Answers:
- 2 = 16/-8=-2
3= 3 3/7 /( dividing )1 1/7= 3
2= -12.2 / (-6.1)=2
-3=-2 2/5 / ( dividing) 4/5=-3
Let us take the case of 7 pounds for $8.47 first.
7 pounds of a product costs = 8.47 dollars
Then
1 pound of the same product will cost = (8.47/7) dollars
= 1.21 dollars
Now let us take the case of 9 pounds for $11.07
9 pounds of a product costs = 11.07 dollars
Then
1 pound of the same product will cost = (11.07/9) pounds
= 1.23 dollars
So from the above deductions we can see that 9 pounds for $11.07 is a better buy than 7 pounds for $8.47. I hope the procedure is clear enough for you to understand. In future you can use this method for solving similar problems.
Answer:
Practice started at 1:55 pm.
Step-by-step explanation:
