x+y=46 and 1.75x+2y=89.50 can be used to determine the number of pounds of blueberries sold and the number of pounds of apples sold, where x represents the pounds of blueberries sold and y represents the pounds of apples sold.
Step-by-step explanation:
Cost of one pound of blueberries = $1.75
Cost of one pound of apples = $2
Total worth = $89.50
Total sold = 46 pounds.
Let,
x be the pounds of blueberries sold.
y be the pounds of apples sold
According to given statement;
x+y=46 Eqn 1
1.75x+2y=89.50 Eqn 2
x+y=46 and 1.75x+2y=89.50 can be used to determine the number of pounds of blueberries sold and the number of pounds of apples sold, where x represents the pounds of blueberries sold and y represents the pounds of apples sold.
Keywords: linear equation, variables
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Let a be the amount needed of 70% pure antifreeze, and let b be the amount needed of 95% pure antifreeze.
0.7a + 0.95b = 180 * 0.9 .........(1)
a + b = 180 .............................(2)
b = 180 - a ..............................(3)
Plugging the expression for b in equation (3) into equation (1), we get:
0.7a + 0.95(180 - a) = 162 ......(4)
Solving equation (4) gives the value a = 36, and plugging this value for a into equation (2) we get b = 144.
Amounts needed are therefore 36 gallons of 70% pure antifreeze and 144 gallons of 95% pure antifreeze.
this is the answer I came up with hopes this helps
It is given in the question that a parade traveled 9 miles in 3 minutes.
Here distance is 9 miles and time is 3 minutes.
We have to find how many miles travelled per minute. It means , we have to find the speed, and the formula of speed is
Substituting the values of distance and time, we will get
Therefore the parade travelled 3 miles per minute .
We are given chance of winning a game is 1/50.
In decimal form 1/50 could be written as 0.02.
So, for each game, the chance of winning is 0.02.
Therefore, chance of loss would be = 1 -(0.02) = 0.98.
Chance of loss of 50 independent games = 0.98*0.98*0.98*0.98...... upto 50 times, that is (0.98)^50.
The chance of winning at least once = 1 - (0.98)^50.
We got (0.98)^50 = 0.36417
Therefore, 1 - (0.98)^50 = 1 - 0.36417.
We get 0.63583.
Therefore, correct option is c. 0.6358.