Answer:
Total number of points in the test = 100
Total number of items in the test = 40
Let number of items of 2 points be x and number of items of 3 points be y.
Now, using the given information the situation can be represented by using the following equations :
⇒ x + y = 40 .........(1)
⇒ 2x + 3y = 100 .........(2)
The matrix equation is :
By solving the equation (1) and equation (2), we get :
Solution : x = 20 and y = 20
Answer: 3x + 5 = 57.50
Step-by-step explanation:
Assume that the price of one video game is x. Jamie bought 3 video games so the expression will be:
= 3x
His sister talked him into buying two $1.50 candy bars and a $2.00 drink. The total of this is:
= 1.50 + 1.50 + 2.00
= $5.00
The total amount spent on both the video game and the snacks is $57.50. Equation will therefore be:
3x + 5 = 57.50
Answer:
3. Definition of Midpoint
4. VAT, Vertical Angles Theorem
5. ASA, Angle-Side-Angle Theorem
Answer:
He needs 8.75 ft² polka dot paper to cover the board.
Step-by-step explanation:
How much polka dot paper she need to cover the board is the area of the board . The is a rectangle with length 3.5 ft long and width of 2.5 ft wide .
The area of the board(rectangle) = length × width
Area = LW
where
L= 3.5 ft
W = 2.5 ft
Area = 3.5 × 2.5
Area = 8.75 ft²
He needs 8.75 ft² polka dot paper to cover the board.
Answer:
Step-by-step explanation:
The total number of students is 350 + 50 + 225 + 375 = 1000.
There are 225 students in band only, as well as 50 students in both band and choir. So there are 275 students in band out of the total of 1000, or 27.5%.
There are 350 students in choir only, as well as 50 students in both choir and band. So there are 400 students in choir, 50 of whom are also in band. So the probability is 50/400, or 12.5%.
The probabilities are not the same.
Since the probabilities are not the same, the probability of being in band is affected by whether or not the student is in choir. So the events are not independent.
