1- How do I put ‘the sum of m and four’ into an algebraic expression?
1 answer:
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Answer:
Each packet of orange can make 2 cups of juice and each packets of Apple can make 3 cups of juice.
Step-by-step explanation:
Let number of cups of juice in each packet of orange be 'x'.
Let number of cups of juice in each pack of apples be 'y'.
Given:
On Tuesday;
Number of packets of oranges = 8
Number of packets of apples = 6 packets.
Amount of fruit juice = 34 cups
So we can say that;
Amount of fruit juice is equal to sum of Number of packets of oranges multiplied by number of cups of juice in each packet of orange and Number of packets of apples multiplied by number of cups of juice in each pack of apples.
framing in equation form we get;
On Wednesday;
Number of packets of oranges = 14
Number of packets of apples = 6
Amount of fruit juice = 46 cups
So we can say that;
Amount of fruit juice is equal to sum of Number of packets of oranges multiplied by number of cups of juice in each packet of orange and Number of packets of apples multiplied by number of cups of juice in each pack of apples.
framing in equation form we get;
Now Subtracting equation 1 from equation we get;
Now dividing both side by 6 we get;
Now we will substitute the value of 'x' in equation 1 we get;
Subtracting both side by 16 we get;
Now dividing both side by 6 we get;
Hence Each packet of orange can make 2 cups of juice and each packets of Apple can make 3 cups of juice.
Answer:
Step-by-step explanation:
We know that the length is four times the width, so:
We also know the area, which is 324 m². The formula for area:
Insert the known values:
Solve for w. Simplify by removing parentheses:
Divide 4 from both sides to isolate the variable:
Find the square root of both sides:
The width is 9 m.
We know the width. Now find the length by using the area formula and inserting known values:
Solve for l. Divide both sides by 9:
The length of the rectangle is 36. (You can check: 4 times 9 is 36)
Now find the perimeter:
Insert values:
The perimeter is 90 m.