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Let x = charge before tax in 1st city, and y = charge before tax in 2nd city
y = $1500 + x
4/100x => tax in first city
3.5/100y => tax in second city
0.04x + 0.035y = $408.75
We have the following system of equations to solve:
So the hotel charge before tax in city 1 = $4750, and the hotel charge before tax in city 2 = $6250
Answer:
<u>The equations system is:</u>
<u>x + y = 10</u>
<u>0.5x + 0.9y = 6</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Liters of 60% acid solution needed = 10
x = Number of liters of the 50% solution
y = Number of liters of the 90% solution
2. Which equation represents the total liters of acid that are needed?
There are two equations needed:
The first one related to the total liters needed, 10 in this case:
x + y = 10
The second one related to the acid concentration of the 10 liters:
0.5x + 0.9y = 10 * 0.6
0.5x + 0.9y = 6
<u>The equations system is:</u>
<u>x + y = 10</u>
<u>0.5x + 0.9y = 6</u>
Solving for x and y in the 2nd equation, we have:
0.5 (10 - y) + 0.9y = 6
5 - 0.5y + 0.9y = 6
0.4y = 6 - 5
0.4y = 1
y = 1/0.4 = 2.5 ⇒ x = 7.5 (10 - 2.5)
The scientist can mix 7.5 liters of the 50% acid solution and 2.5 liters of the 90% acid solution to get the 10 liters of the 60% acid solution.
Answer:
0 output is 3
2 output is 5
4 output is 7
Step-by-step explanation:
Answer:
JL
JK
LK
Step-by-step explanation:
Side lengths and angle measurements are directly related, the larger the angle the longer the side. So the side opposite to the largest angle will be the greatest side. Therefore to order the sides first order the angles then find which sides are directly opposite of them in the same order.
9514 1404 393
Answer:
22 cm
Step-by-step explanation:
The lateral area is the product of the perimeter and the height. The perimeter is the sum of side lengths.
P = a+b+c = (2 +6 +7) cm = 15 cm
LA = Ph
330 cm^2 = (15 cm)h . . . fill in the known values
h = (330 cm^2)/(15 cm) = 22 cm
The height of the prism is 22 cm.
