F(3)= 16. Essentially, you need to substitute 3 for x, which would look like this: 3(3) + 7. Then, by using PEMDAS/the order of operations, multiply 3 by 3 to get 9, and then add 7 to get 16.
Answer:
B. AA
Step-by-step explanation:
The diagram given shows that two angles in ∆ABC are congruent to two corresponding angles in ∆STU.
Invariably, the third unknown angle of both triangles would also be equal going by the third angle theorem.
Thus, based on the AA Similarity Theorem which says that two triangles are similar to each other if two corresponding angles of one is congruent to two angles in the other, ∆ABC ~ ∆STU.
Amount of money collected in the 2-day fundraiser is represented by the following equations:
- 12x + 4y = 152 .................. (i)
- 32x + 12y = 420 .................. (ii)
where x is the cost of a chicken lunch and y is the cost of a vegetarian lunch
Multiplying (i) with 3 and subtracting it from (ii)
36x + 12y - (32x + 12y) = 456 - 420
⇒ 4x = 36
⇒ x = 9
Put value of x in (i)
⇒ 12 × 9 + 4y = 152
⇒ 108 + 4y = 152
⇒ 4y = 44
⇒ y = 11
Hence, cost of the vegetarian meal is 11.
Answer:
D
Step-by-step explanation:
The absolute value function always returns a positive value, that is
| - a | = | a | = a
Given
8 - | 2g - 5 | ← substitute g = - 3.5 into the expression
= 8 - | - 7 - 5 |
= 8 - | - 12 |
= 8 - 12
= - 4 → D
First convert 5 cans of dog food to a fraction
(5*3)/3 = 15/3
15/3 - 1/3 = 14/3
he uses 1/3 a can and so he then has 14 servings.
