Answer:
c) 2 + 3 = 5 TRUE
d) 2 + (–3) = -1 True
Step-by-step explanation:
When adding integers (positive and negative whole numbers), there are three cases:
- Positive and positive increases and sum is positive. Ex. 4 + 6 = 10
- Positive and negative where you subtract and take the sign of the larger number. Ex. 3 + -8 = -5 or -3 + 8 = 5
- Negative and negative decrease and the sum if negative. Ex. -4 + -6 = -10.
Use these rules to simplify each expression.
a) 2 + (–3) = -1 not 1 FALSE
b) –3 + 2 = -1 not 5 FALSE
c) 2 + 3 = 5 TRUE
d) 2 + (–3) = -1 True
Answer:
10
Step-by-step explanation:
p² +3q
= 2² +3*2
=4 + 6
=10
Answer:
height of the Eiffel tower ≈ 300.0 m(nearest tenth of a meter)
Step-by-step explanation:
The triangle TDE is not a right angle triangle. Angle TDE can be gotten by subtracting 63° from 180°. Angle on a straight line is 180°. Therefore, 180° - 63° = 117
°.
angle TDE = 117°
angle DTE = 180° - 117° - 31° = 32°
DE = 346.4 m
Side TD can be find using sine law
346.4/sin 32° = TD/sin 31°
cross multiply
346.4 × 0.51503807491 = 0.52991926423TD
178.409189149 = 0.52991926423TD
divide both sides by 0.52991926423
TD = 178.409189149/0.52991926423
TD = 336.672397461
TD ≈ 336.67 m
The side TD becomes the hypotenuse of the new right angle triangle formed with the height of the Eiffel tower.
Using sin ratio
sin 63° = opposite/hypotenuse
sin 63° = h/336.67
cross multiply
h = 336.67 × 0.89100652418
h = 299.975166498
height of the Eiffel tower ≈ 300.0 m(nearest tenth of a meter)
Answer:the number of children tickets that were sold is 30.
the number of adult tickets that were sold is 70
Step-by-step explanation:
Let x represent the number of children tickets that were sold.
Let y represent the number of adult tickets that were sold.
The movie theater sells a total of 100 tickets. This means that
x + y = 100
The theater charges $6 per child's ticket and $10 per adult's ticket. The movie theater made a total of $880. It means that
6x + 10y = 880 - - - - - - - - - - -1
Substituting x = 100 - y into equation 2, it becomes
6(100 - y) + 10y = 880
600 - 6y + 10y = 880
- 6y + 10y = 880 - 600
4y = 280
y = 280/4 = 70
x = 100 - y = 100 - 70
x = 30