The value of a for the given equation is a=(r-q)/g.
The given equation is ga+q=r.
We need to find the value of a from the given equation.
<h3>What is an equation?</h3>
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Now, ga+q=r can be solved for a as follows:
⇒ga=r-q
⇒a=(r-q)/g
Therefore, the value of a for the given equation is a=(r-q)/g.
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Answer:
Then, it costs $2120 to order 1000 pens and 2000 notebooks.
Step-by-step explanation:
The Students' Union needs to order 1000 pens and 2000 notebooks. The price per pen when buying 1000 of them is 60c. The price per notebook when buying 2000 of them is 76c.
Then the total of money needed to order 1000 pens and 2000 notebooks is:
Total Money = 1000 × 0.60 + 2000 × 0.76 = $2120
Then, it costs $2120 to order 1000 pens and 2000 notebooks.
First we see the cost of making 200 cookies:
(200) * (1.50) = 300 $
Then, we see the amount of cookies that are not broken:
(200) * (0.30) = 60
200-60 = 140
Arley wants to 50% markup on cost and produces 200 cookies:
(300) * (1.50) = 450 $
Arley can sell the broken cookies for $ 1.40 each:
(1.40) * (60) = $ 84
For each unbroken cookie the price will be then:
(450-84) / (140) = 2.61 $
Answer:
Arley should charge $ 2.61 for each unbroken cookie
Answer:
Speed of boat in still water = 64 km/hr
Speed of the current = 11 km/hr
Step-by-step explanation:
Let the speed of motorboat in still water = x km/hr
Let the speed of current = y km/hr
Motorboat travels 371 km in 7 hours going upstream.
Speed of motorboat while going upstream = speed of motorboat in still water - speed of current = (x-y)
=> ![\[x-y = \frac{371}{7}\]](https://tex.z-dn.net/?f=%5C%5Bx-y%20%3D%20%5Cfrac%7B371%7D%7B7%7D%5C%5D)
=>
------------------------------(1)
Motorboat travels 525 km in 7 hours going downstream.
Speed of motorboat while going downstream = speed of motorboat in still water + speed of current = (x+y)
=> ![\[x+y = \frac{525}{7}\]](https://tex.z-dn.net/?f=%5C%5Bx%2By%20%3D%20%5Cfrac%7B525%7D%7B7%7D%5C%5D)
=>
-----------------------------(2)
Solving for x and y from (1) and (2):
Adding (1) and (2):
2x = 128
=> x = 64
Substituting the value of x in (1), y = 11