Answer:
8,55
Step-by-step explanation:
use trigonometric functions
Answer: 7/3
Step-by-step explanation: From the leftmost, lower point to the uppermost point, you move upwards 7, and rightward 3. Slope is vertical movement over horizontal, giving 7/3.
Since Joe has 5/6 pounds left and he only needs 1/3 pounds
each day to feed the birds, therefore the number of remaining day’s worth of
seed is:
days = (5/6) / (1/3) = 2.5
The remaining seed can run up to 2 and half days. This also
means that after 2 days, he is remained with ½ of 1/3 pound. ½ of 1/3 pound is
equivalent to 1/6 pound. Therefore the correct rectangle model to use is:
<span>Rectangle
model divided into 3 equal sections, two sections are labeled one-third and one
section is labeled one-sixth, equaling two and one-half days.</span>
Answer:
<em>Henson: 3x + y = 163</em>
<em>Garcia: 2x + 3y = 174</em>
<em>adult ticket price: $45</em>
<em>child ticket price: $28</em>
Step-by-step explanation:
Henson Family:
3 adults + 1 child; total $163
3x + y = 163
Garcia Family:
2 adults + 3 children; total $174
2x + 3y = 174
Now we solve the system of equations.
Solve the first equation (Henson Family) for y.
y = 163 - 3x
Substitute 163 - 3x for y in the second equation (Garcia Family).
2x + 3<em>y</em> = 174
2x + 3(<em>163 - 3x</em>) = 174
2x + 489 - 9x = 174
-7x + 489 = 174
-7x = -315
x = 45
Now substitute 45 for x in the first original equation and solve for y.
3x + y = 163
3(45) + y = 163
135 + y = 163
y = 28
adult ticket price: $45
child ticket price: $28
Answer:
The height of the water = 6.2 in. to the nearest tenth
Step-by-step explanation:
∵ The rate of flows of water into the tank = 8000 in.³/min.
∴ The volume of the water in the tank after 10 min. = 8000 × 10 = 80000 in.³
∵ The water take the shape of the tank
∴ The height of the water = volume of water ÷ Area of the base of the tank
∵ The tank is cylinder with diameter 128 in. and height 72 in.
∴ The area of the base of the tank = π(128/2)²
∴ The height of the water = 
∴ The height of the water = 6.2 in. to the nearest tenth