Answer:
it has to be 21 because if calculate the bill cycle that what you get
There are four rectangles and 2 squares.
Let’s start with the four rectangles.
4 [ 2x(x)]
4 [ (2*7)(7)] = 392 cm^2
______________
Next, let’s find the SA for the two squares.
2 [(2x)^2]
** I need to be clear that both the 2 and the x in the parentheses are squared because the square, of course, is a “perfect square”. This was probably obvious and needless to say, haha oh well.
Next step: plug in values
2 [ [2(7)]^2 ] = 392 cm^2
TOTAL: 392+392 = 784 cm^2
Wow I should have realized the the 4 rectangles are the area as the two squares.
Good luck to you!
If you have any other math questions, I can try my best to answer them. Just send me a comment or whatever works.
Let's make some variables to represent the cost of the tables and chairs.
Let x be equal to the cost of one chair
Let y be equal to the cost of one table
The total cost for 3 chairs and 2 tables is $17.
3x + 2y = 17
The total cost for 8 chairs and 4 tables is $37.
8x + 4y = 37
Now we have our system of equations.
Let's solve it.
3x + 2y = 17
8x + 4y = 37
We can cancel the y's very easily. Then it would just leave us with the x's.
Multiply the top equation by -2.
3x(-2) + 2y(-2) = 17(-2) =
-6x - 4y = -34
Then add the equations together.
-6x - 4y = -34
8x + 4y = 37
=
2x = 3
Then just divide both sides by 2.
x = 1.5
Substitute 1.5 into one of the equation. I'll pick 3x + 2y = 17
3(1.5) + 2y = 17 ; Start
4.5 + 2y = 17 ; Multiply 3 and 1.5 together
2y = 12.5 ; Subtract 4.5 from each side of the equation
y = 6.25 ; Divide both sides by the coefficient of y. Which 2
So, a chair costs $1.50 and a table costs $6.25.
Answer:
Step 1-Write an equation, letting x represent Kareem’s age:
(x + 3) + x + 2 x = 33
Step 2-Solve the equation:
(x + 3) + x + 2 x = 33. 3 + 4 x = 33. 4 x = 30. x = 7 1/2.
Step 3-Sadie is 10 1/2, Kareem is 7 1/2, and Nadra is 3 3/4.
Which corrects the student’s first error?
1. In Step 1, the student should have used One-half x to represent Nadra’s age, and written the equation (x + 3) + x +1/2x = 33.
2. In Step 2, the student should have added 3 on both sides of the equation to find a solution of x = 9.
3. In Step 3, the solution represents Sadie’s age. Therefore, Sadie is 7 1/2, Kareem is 4 1/2, and Nadra is 2 1/4.
4. In Step 3, Nadra’s age is the difference between 33 and Sadie’s and Kareem’s ages, so Nadra is 15.
Answer:
64°
Step-by-step explanation:
∠RQP = 46°
∠PRQ = 180° - 110° = 70°
∠PRQ + ∠RQP + <u>∠RPQ</u> = 180°
70° + 46 + <u>∠RPQ</u> = 180°
116° + <u>∠RPQ</u> = 180°
Find <u>∠RPQ</u>
<u>∠RPQ</u> = 180° - 116° = 64°
