Let the one type of the bread be bread A
The second type of the bread be bread B
Let the flour be 'f' and the butter be 'b'
We need 150f + 50b for bread A and 75f + 75b for bread B
We can compare the amount of flour and bread needed for each bread and write them as ratio
FLOUR
Bread A : Bread B
150 : 75
2 : 1
We have a total of 2250gr of flour, and this amount is to be divided into the ratio of 2 parts : 1 part. There is a total of 3 parts.
2250 ÷ 3 = 750 gr for one part then multiply back into the ratio to get
Bread A : Bread B = (2×750) : (1×750) = 1500 : 750
BUTTER
Bread A : Bread B = 50 : 75 = 2 : 3
The amount of butter available, 1250 gr is to be divided into 2 parts : 3 parts.
There are 5 parts in total
1250 ÷ 5 = 250 gr for one part, then multiply this back into the ratio
Bread A: Bread B = (2×250) : (3×250) = 500 : 750
Hence, for bread A we need 1500 gr of flour and 500 gr of butter, and for bread B, we need 750 gr of flour and 750 gr of butter.
Answer:
number of dimes 11 to 14
Step-by-step explanation:
given data
coin = 19
worth no less = $1.30
Nolan nickles = 5
solution
we convert 5 cent to dollars, it will be
5÷100 = $0.05
and
dime is worth 10 cents
so it will be 10 ÷ 100 = $0.1
so we consider here x as the number when nickels.
and we consider y as the number of dimes.
so here we can say
x + y ≤ 19 ..........................1
as here no less than $1.30 combined.
so
0.05 x + 0.1 y ≥ 1.3 ......................2
and
when Nolan has 5 nickels
put x = 5 in eq 1
5 + y ≤ 19
y ≤ 19 - 5
y ≤ 14
and
now we put x = 5 in eq 2
0.05 × 5 + 0.1y ≥ 1.3
0.25 + 0.1y ≥ 1.3
0.1y ≥ 1.3 - 0.25
0.1y ≥ 1.05
y ≥ 10.5
so all possible values for the number of dimes 11 to 14
Answer:
16 packages
Step-by-step explanation:
5 2/5 + 2 1/4 Use the common denominator of 20
5 8/20 + 2 5/20
7 13/20
I know that I will need 14 packages for the 7 pounds. For the fraction part, 10/20 would be half, so I would need to buy a half pound for that, but I need 13/20 which would be more than a half pound, so I will need to buy 2 more pounds for the fraction part.
14 + 2 = 16
Answer:
(4x + 3)(4x - 3) represents the factorization of a polynomial that was the difference of two squares as it is written as product of sum and difference of two numbers.
Step-by-step explanation:
Formulas are used to factorize the polynomials.
In the given question, we can see a difference of squares
the difference of squares can be factorized using the formula
Here a^2 and b^2 are squares and factorized as sum and difference of numbers.
So in the given options,
(4x + 3)(4x - 3) represents the factorization of a polynomial that was the difference of two squares as it is written as product of sum and difference of two numbers.
Hi there!
To solve, we can use right triangle trigonometry.
Recall that:
sin = O/H, cos = A/H, tan = O/A.
For angle G, HF is its OPPOSITE side, and FG is the hypotenuse.
Therefore, we must use sine to evaluate:
sinG = 14 / 17
sin⁻¹ (14/17) = ∠G. Evaluate using a calculator.
∠G ≈ 55.44°
