Answer:
6 cups of flour
Step-by-step explanation:
we know that
the ratio of the recipe=(1 1/2)/(3/4)
1 1/2=1.5 cups of flour
3/4 stick of butter-------> 0.75 stick of butter
by proportion
1.5/0.75=x/3---------> 3*1.5=0.75*x
x=3*1.5/0.75----------> x=6 cups of flour
Answer:
In bold.
Step-by-step explanation:
a. (x+5)^2 – 3x(x+5) x+5 is common
= (x + 5)(x + 5 - 3x)
= (x + 5)(5 - 2x)
b. (x + 5)(5 - 2x) = 0
x = -5, 2.5.
2a. Area of the square = (x + 5)^2
Area of triangle AEB
= 1/2 * base * height
I am assuming that H is the centre of AB , so
Area = x*x
= x^2.
2b
6x^2 = (x + 5)^2
6x^2 = x^2 + 10x + 25
5x^2 - 10x - 25 = 0
x^2 - 2x - 5 = 0
x = [-(-2) +/- sqrt(2^2 - 4*1*-5)] / 2
x = -1.45, 3.45.
(we ignore the negative).
The shortest piece is 14 inches, middle piece is 19 inches and longest piece is 23 inches long.
Step-by-step explanation:
Let,
x be the shortest piece.
Therefore,
Middle piece = x+5
As shortest piece is 9 in shorter than longer piece;
Shortest piece = longest piece - 9
x = longest piece - 9
longest piece = x+9
Length of sandwich = 56 in
According to given statement;
Shortest piece + middle piece + longest piece = 56
Dividing both sides by 3;
Shortest piece = 14 in
Middle piece = 14+5 = 19 in
Longest piece = 14+9 = 23 in
The shortest piece is 14 inches, middle piece is 19 inches and longest piece is 23 inches long.
Keywords: Addition, linear equation
Learn more about addition at:
#LearnwithBrainly
The answer is $527 because 32% off is $248
Volume of first oil = A, volume of second oil = B, volume of mixture = M
A = ?, B = 4l, M = A + B
40%A + 25%B = 30%M
40%A + 25%4l = 30%(A+4l)
<span>40%A + 25%4l = 30%A + 30%4l
40A + 100l = 30A + 120l
40A - 30 A = 120l - 100l
10A = 20l
A = 2l
</span>
Answer: 2 litres of 40% oil dressing.
Also note: That's an approximation, because the volumes are not strictly additive. For example: mixing 50ml pure ethanol with 50ml water will give you about 95ml of mixture. To get an accurate answer, you'd have to measure the volume of the final mixture and then divide your total oil content by that<span>.</span>
