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german
3 years ago
12

1. One week Carlos bought 3 bags of Tabitha Tidbits and 4 bags of Figaro Flakes for $43.00. The next week he bought 3 bags of Ta

bitha Tidbits and 6 bags of Figaro Flakes for $54.00. Based on this information, figure out the price of one bag of each type of cat food. Explain your reasoning.
Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
3 0
Tabitha Tidbits costs $7 per bag, and Figaro Flakes is $5.50 per bag.
You need to set up a system of equations. Use "x" for Tabitha Tidbits and "y" for Figaro Flakes, and let the total cost of each trip equal c. Using the equation ax+by=c, substitute the cost of each trip in for c, and the number of bags for each food for a and b respectively. The two equations will be:
3x+4y=43
3x+6y=54
Isolate x in the first equation and you will get:
x=(43-4y)/3
Substitute the above equation for x into the other equation:
3*((43-4y)/3)+6y=54
Isolate y in this equation, and you will get 11/2, which is 5.5
So the cost of one bag of Figaro Flakes is $5.50
Now substitute this into the equation where you isolated x:
(43-4(5.5))/3
You will get x=7, so a bag of Tabitha Tidbits is $7
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13. The radius of Earth is approximately 6.4 x 100 m. Use the formula V = 4/3pr^3
romanna [79]

<u>We are given</u>

  • Radius of Earth; 6.4 x 100 meters = 640 meters

Clearly, the shape of the earth is a sphere. Thus, to determine the volume of the earth, we will use a formula that determines the volume of a sphere.

\implies \text{Volume of sphere =} \   \dfrac{4\pi r^{3}}{3}

When we substitute the radius in the formula, we get;

\implies\text{Volume of sphere} = \dfrac{4\pi (640)^{3}}{3}

\implies\text{Volume of sphere} = \dfrac{4\pi (640)(640)(640)}{3}

Take π as 3.14

\implies\text{Volume of sphere} = \dfrac{4\pi (640)(640)(640)}{3}

\implies \text{Volume of sphere} = \dfrac{4(3.14)(640)(640)(640)}{3}

Simplify the numerator;

\implies \text{Volume of sphere} = \dfrac{4(3.14)(640)(640)(640)}{3}

\implies \text{Volume of sphere} = \dfrac{3292528640}{3}

Divide the numerator by 3;

\implies \text{Volume of sphere} = \dfrac{3292528640}{3}

\implies \text{Volume of sphere} = \boxed{1097509546.67 \ \text{m}^{3} } \ \ \ (\text{Estimated})

4 0
1 year ago
A local realtor makes 6% commission on all houses he sells. Last month his sales totaled $1,850,000. How much will his commissio
Eddi Din [679]
His commission would be 111,000.
You can get this answer by multiplying 6% times 1,850,000. This would get you the answer of 111,000.

Hope this helps! I would greatly appreciate a brainliest! :)
6 0
3 years ago
There are 90 chickens on the farm. If 60% of the animals on the farm are chickens, how many animals are on the farm?​
Assoli18 [71]

Answer: 150

Step-by-step explanation:

3 0
3 years ago
Why does the equation (x-4)^2-28=8 have two solutions?
Aliun [14]
<h3>Answer:</h3>

For your first answer it is because they are two different ways to solve the equation

<h3>Step-by-step explanation:</h3>

For Example!

<h2>Solution 1:</h2>

(x-4)² – 28 = 8The 8 is positive making it a different equation (this is like absolute value). (I am assuming you know the answer to the probelm)

<h2>Solution 2:</h2>

(x-4)² – 28 = -8

The 8 could be negative meaning that when you add the 28 to the right side it is -8+28 which will be a negative!

<h3>I hope this helps</h3><h2>IF IT DOES HELP PLEASE GIVE IT A BRAINLIEST!</h2>
4 0
1 year ago
Read 2 more answers
Solve T=L(2+RS) for R
True [87]

Answer:

Step-by-step explanation:

I would begin by distributing the L. It will be easier in the end to do it this way. There are a couple of ways you can do this, but distribution is the easiest. After you distribute the L you have

T = 2L + LRS

Next subtract the 2L to get

T - 2L = LRS. Lastly, to isolate the R, divide away the LS to get

\frac{T}{LS}-\frac{2L}{LS} = R  In that second term, the L's cancel each other out, leaving us with

\frac{T}{LS}-\frac{2}{S} = R

4 0
3 years ago
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