Flaky pastry can be made using flour and fat in the ratio 4 : 3. Jake makes some flaky pastry using 90 grams of fat. What weight
1 answer:
Answer:
He use 120 grams of flour.
Step-by-step explanation:
Given:
Flaky pastry can be made using flour and fat in the ratio 4 : 3. Jake makes some flaky pastry using 90 grams of fat.
Now, to find the weight of flour he use in making flaky pastry.
Let the weight of flour be
Weight of fat = 90 grams.
The ratio of flour and fat used in making flaky pastry is 4 : 3.
<em>As, 4 is equivalent to 3.</em>
<em>Thus, </em><em> is equivalent to 90.</em>
Now, to solve using cross multiplication method:
Therefore, he use 120 grams of flour.
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Answer:
4.5 hours
Step-by-step explanation:
Given: One candle takes 6 hour to burn out
Other candle takes 9 hours to burn out.
Lets assume the time at which slower burning candle be exactly twice as long as the faster burning one be "x". and lenght of candle initially be "1".
Taking one candle as Candle A
Other candle as Candle B.
As given both the candle is of equal length.
Now, putting up the equation to find the time at which lenght of candle B is twice as candle A.
∴ Length of candle=
Solving it knowing length is constant and using distributive property of multiplication
⇒
subtracting both side by 2
⇒
Adding both side by
⇒
Taking LCD of 9 and 6 as 18
⇒
Multiplying both side by 18
⇒
⇒
Multiplying both side by -4
⇒ x=
∴ x= 4.5 hours
Hence, 4.5 hours is the time at which slower burning candle be exactly twice as long as the faster burning one.
Let
t--------> the time in hours
d-------> the distance in miles
we know that
this is a linear equation that represent the scenario
in this equation the independent variable is the time t and the dependent variable is the distance d
The distance's equation in function notation is equal to
Using a graph tool
see the attached figure
The domain of the function is the interval----------> [0,∞)
The range of the function is the interval-------> [0,∞)
<u>Statements</u>
<u>a) The independent variable, the input, is the variable d, representing distance</u>
The statement is false
Because the independent variable is the variable t
<u>b) The distance traveled depends on the amount of time Marlene rides her bike</u>
The statement is true
Because the distance's equation in function notation is equal to
<u>c) The initial value of the scenario is 16 miles per hour</u>
The statement is false
Because represent the rate or the slope of the linear equation
<u>d) The equation t = d + 16 represents the scenario</u>
The statement is false
Because, the scenario is represented by the function
<u>e) The function f(t) = 16t represents the scenario</u>
The statement is true
