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.
9514 1404 393
Answer:
3.4%
Step-by-step explanation:
The total amount due is ...
A = P(1 +rt/12) . . . . . principal P, annual rate r, t months
33829.50 = 28500(1 +66/12r)
1.187 = 1 +5.5r . . . . . divide by 28500, simplify
0.185/5.5 = r = 0.034 = 3.4%
The interest rate on the loan is 3.4%.
Answer:
m = 3
Step-by-step explanation:
It is given that there are two triangles
ABC and
ABC ~
Also, the sides are:
AB= 3
BC= 4
DE= 2m
EF= m+5 and
∠B≅∠E
Please have a look at the attached figure for
ABC and
The triangles are similar so as per the property of similar triangles, the ratio of corresponding sides will be same.
i.e.

So, <em>value of m = 3.</em>
Answer:
Step-by-step explanation:
change in x (horizontal) = 4 - 1 = 3
Change in y (vertical) = 9 - 3 = 6
Slope = change in x / change in y
slope = 3 / 6 = 1/2
Answer:
1) Star: (-5,9) 2) Lightning (0,8)
3) Circle: (4,-7) 4) Heart (-3,-8)
5) Cross (6,9) 6) Triangle (0,6)
7) Moon (-4,9) 8) Square (-4,6)
9) Diamond (-1,-4) 10) Music Note (8,1)
Step-by-step explanation:
The way that I solved this was I first set up (x,y). You must find the placement of the x-axis or the horizontal line. Then you find the 7-axis or the vertical line. For example, with the star, the shape is 5 to the left which is -5 and then goes 9 lines upward.