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soldi70 [24.7K]
3 years ago
6

Lewa's hiking backpack weight 5 pounds less than 1/2 the weight of Alani's hiking backpack. Write an expression to describe the

weight of Lewa's backpack. How many pounds does Lewa's backpack weight if Alani's backpack wight 36 pounds?
Mathematics
1 answer:
dem82 [27]3 years ago
7 0
Ok, l = lewa's backpack and a= alai's. :)

1/2a -5 = l.
so to solve,
1/2 (36) - 5 = l.
18 - 5 = l.
13 = l. 

so Lewa's backpack weighs 13 pounds. Hope it helps! 
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At the movie theatre, child admission is $5.70 and adult admission is $9.75 . On Friday, 173 tickets were sold for a total sales
storchak [24]

Answer: 94 child tickets

<u>Step-by-step explanation:</u>

Let x represent child tickets

Let y represent adult tickets

Cost Equation: 5.70x + 9.75y = 1306.10

Quantity Equation: x + y = 173

Solve the system of equations using the elimination method:

Multiply the Quantity Equation by -5.70

      5.70x + 9.75y = 1306.10

    <u> -5.70x  - 5.70y</u> = <u>-986.10</u>

                    4.05y = 320.00

                  <u> ÷4.05 </u>   <u>÷4.05    </u>

                           y =   79

x +  y  = 173

x + 79 = 173

x         = 94

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Which numbers are in order from least to greatest?
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3 years ago
Josie sold 790 tickets to a local car show for a total of $4,390.00. A ticket for a Child costs $4.00 and adult ticket costs $7.
Papessa [141]

Let's define the following variables first.

A = number of tickets sold for adults

C = number of tickets sold for children

From the question, we can say that or form the following equations:

1. A + C = 790 tickets

2. $7A + $4C = $4, 390

The first equation can also be written as A = 790 - C. We can use this equation and replace "A" in the second equation.

7(790-C)+4c=4,390

From that, we can solve "C" by solving the equation formed above.

\begin{gathered} \text{Distribute 7 to the terms inside the parenthesis.} \\ 7(790)-7(C)+4C=4,390 \\ 5,530-7C+4C=4,390 \\ \text{Subtract 5,530 on both sides of the equation.} \\ -7C+4C=-1140 \\ -3C=-1140 \\ \text{Divide -3 on both sides.} \\ C=380 \end{gathered}

Therefore, 380 tickets for children were sold.

Since there are 790 tickets in total that are sold and 380 tickets for children were sold, we can say that 410 tickets for adult was sold.

\begin{gathered} A=790-C \\ A=790-380 \\ A=410 \end{gathered}

3 0
11 months ago
a stone is thrown downward with an intitial velocity of 29.5 m/sec will travel a distance of a meters, where s(t) = 4.9t^2 + 29.
Alenkinab [10]

Answer:

t = 9 s

Step-by-step explanation:

A stone is thrown downward with an intitial velocity of 29.5 m/sec will travel a distance of a meters, where

s(t) = -4.9t^2 + 29.4+132.3

We need to find when the stone will hit the ground. It means when s(t) = 0. So,

-4.9t^2 + 29.4t+132.3=0\\\\t=-3\ and\ t=9

So, the stone will take 9 seconds to hit the ground. Hence, this is the required solution.

5 0
3 years ago
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