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vodomira [7]
3 years ago
13

Lily went shopping with alan. lily spent $11.20 for 3.60 kg flour and 1 kg sugar. alan spent $20 for 5 kg flour and 2.50 kg suga

r. what is the price of a kilogram of flour and a kilogram of sugar respectively?
Mathematics
2 answers:
frutty [35]3 years ago
6 0
Write an equation system based on the problem
An equation for Lily's expense is
∴ 3.6f + s = 11.2  <u>(first equation)</u>
An equation for Alan's expense is
∴ 5f + 2.5s = 20   <u>(second equation)</u>
f stands for the price of a kilogram of flour, s stands for the price of a kilogram of sugar

From the first equation, solve for s
3.6f + s = 11.2
s = 11.2 - 3.6f

Subtitute s with (11.2 - 3.6f) in the second equation
5f + 2.5s = 20
5f + 2.5(11.2 - 3.6f) = 20
5f + 28 - 9f = 20
-4f + 28 = 20
-4f = 20 - 28
-4f = -8
f = -8/-4
f = 2
A kilogram of flour is $2

Subtitute f with 2 to find the value of s
s = 11.2 - 3.6f
s = 11.2 - 3.6(2)
s = 11.2 - 7.2
s = 4
A kilogram of sugar is $4
Anna007 [38]3 years ago
3 0
Or 1 kilogram<span> = 2 pounds 3 ounces. To change from </span>KILOGRAMS<span> TO POUNDS we can multiply by 2.2. So is we have a 2kg bag of </span>flour<span> and we want to know what this is in pounds we can work it out like this: 2kg = 2 x 2.2lbs = 4.4lbs. A. Try these. </span>1<span>) 3kg = lbs. 2) 6kg = lbs. 3) 7kg = lbs. 4) 12kg = lbs. </span>5<span>) 14kg = lbs. 6(

</span>
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Simplify the expression cos x cot x+ sin x please select the best answer from the choices provided a.0, b.csc x, c. Tan x, d sec
expeople1 [14]

Answer:

cot x = \frac{cos x}{sin x}

cos x \frac{cos x}{sin x} + sin x

\frac{cos^2 x}{sin x} +sin x

sin^2 x + cos^2 x =1

Solving for cos^2 x we got cos^2 x =1 -sin^2 x and replacing this we got:

\frac{1-sin^2 x}{sin x} +sin x

\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x

csc x -sin x + sin x = csc x

And then the best option for this case would be:

b.csc x

Step-by-step explanation:

For this case we have the following expression given:

cos x cot x + sin x

We know from math properties that the definition for cot is cot x = \frac{cos x}{sin x}

If we use this definition we got:

cos x \frac{cos x}{sin x} + sin x

\frac{cos^2 x}{sin x} +sin x

Now we can use the following identity:

sin^2 x + cos^2 x =1

Solving for cos^2 x we got cos^2 x =1 -sin^2 x and replacing this we got:

\frac{1-sin^2 x}{sin x} +sin x

\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x

csc x -sin x + sin x = csc x

And then the best option for this case would be:

b.csc x

4 0
4 years ago
What is the surface area of this triangular prism? The base of each triangle is 42 m and the height of the triangular base is 20
shutvik [7]

<u>Given</u>:

The base of each triangular base is 42 m.

The height of each triangular base is 20 m.

The sides of the triangle are 29 m each.

The height of the triangular prism is 16 m.

We need to determine the surface area of the triangular prism.

<u>Surface area of the triangular prism:</u>

The surface area of the triangular prism can be determined using the formula,

SA=bh+(s_1+s_2+s_3)H

where b is the base of the triangle,

h is the height of the triangle,

s₁, s₂ and s₃ are sides of the triangle and

H is the height of the prism.

Substituting the values, we get;

SA=(42)(20)+(42+29+29)(16)

SA=840+(100)(16)

SA=840+1600

SA=2440

Thus, the surface area of the triangular prism is 2440 m²

8 0
3 years ago
If you work 52 weeks/year and 40 hours/week, how many hours would you work in one year? quizlrt
Alex73 [517]
52×40=2080
You will work 2080hours in the year
7 0
3 years ago
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100 is divisible by which of the following numbers 2,3,4,5,6,9 or 10?
pochemuha
The correct answer is B: 2,4,5, 10

We know that 100 is not divisible by 3 because 100/3 is 33.33 repeating, which is an irrational number.

We also know that 100 is not divisible by 6 because 100/6 is 16.66 repeating which is also an irrational number.

100/2=50 (rational)
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100/10=20 (rational)

Hope this helps!
6 0
3 years ago
Factor each completely
avanturin [10]
K^2-5k-50
(k-10)(k+5)

This is because k*k=k^2 (your first term), 5k-10k=-5k (your second term) and -10*5=-50 (your last term).

Distribute to check.
3 0
3 years ago
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