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Arlecino [84]
3 years ago
6

Last year, a certain company began producing soup A and sold all of the soup A that it produced. To make all of the soup A produ

ced last year, raw ingredients were cooked until their weight was 30% less than their original weight, then a total of 28 kilograms of herbs and spices were added just before soup A was packaged in cans. Did the company sell more than 4,800 cans of soup A last year?
Mathematics
1 answer:
mote1985 [20]3 years ago
5 0

Answer:

No, they didn't.

Step-by-step explanation:

If you consider that the 30% of the ingredients were the 28 kilograms of herbs and spices they added after cooking raw ingredients and before packing the soup in cans, then, the raw ingredients represent 70% of the total weight, so:

30% ---- 28 kg (herbs and spices)

70% ---- x= 70*28/30= 65,33 kg (raw ingredients)

So the total weight of soup produced and sold were: 28 kg + 65,33 kg = 93,33 kg

We can consider that a can of soup is 10 ounces = 0,28 kg Aprox.

If 0,28 kg = 1 can of soup,

then 93,33 kg = 333,32 cans of soup (= 93,33 kg/0,28 kg)

So they didn't sell more than 4800 cans of soup A last year.

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Equation equivalent to 2(x+3)
grigory [225]

Answer:

2x+6

Step-by-step explanation:

use distributive property

a(b+c)

=

ab+ac

plz brainliest :)

4 0
3 years ago
If 7a=3 and 3b=7 what is the value of a/b
Luba_88 [7]
A=3/7 b=4....................
8 0
3 years ago
William has 24 24 cans of fruit and 60 60 cans of vegetables that he will be putting into bags for a food drive. He wants each b
Snezhnost [94]

Answer:

William will make 12 bags of food and each of the bag will contains 2 cans of fruit and 5 cans of vegetables.

Step-by-step explanation:

Given:

Number of fruits cans = 24

Number of veggies cans = 60

William will have to distribute them in equal bags with equal cans of fruits and vegetables respectively.

For this:

We have to find the GCF (greatest common factor) of 24 and 60.

GCF by listing out the factors method.

Factors of 24  : 1,2,3,4,6,8,12,24

Factors of 60 : 1,2,3,4,5,6,10,12,15,20,30,60

So,

The greatest common factor of 24 and 60 is 12.

The number of bags William will used for equal distribution = 12

Now,

We have to distribute the veggies and fruits in equal number of cans to these 12bags.

Number of fruits cans used in each bag = \frac{24}{12} = 2

Number of vegetables can used in each bag = \frac{60}{12} =5

We can say that:

William will make 12 bags of food and each of the bag will contains 2 cans of fruit and 5 cans of vegetables.

4 0
3 years ago
A huge ice glacier in the Himalayas initially covered an area of 454545 square kilometers. Because of changing weather patterns,
guajiro [1.7K]

We have been given that a huge ice glacier in the Himalayas initially covered an area of 45 square kilo-meters. The relationship between A, the area of the glacier in square kilo-meters, and t, the number of years the glacier has been melting, is modeled by the equation A=45e^{-0.05t}.

To find the time it will take for the area of the glacier to decrease to 15 square kilo-meters, we will equate A=15 and solve for t as:

15=45e^{-0.05t}

\frac{15}{45}=\frac{45e^{-0.05t}}{45}

\frac{1}{3}=e^{-0.05t}

Now we will switch sides:

e^{-0.05t}=\frac{1}{3}

Let us take natural log on both sides of equation.

\text{ln}(e^{-0.05t})=\text{ln}(\frac{1}{3})

Using natural log property \text{ln}(a^b)=b\cdot \text{ln}(a), we will get:

-0.05t\cdot \text{ln}(e)=\text{ln}(\frac{1}{3})

-0.05t\cdot (1)=\text{ln}(\frac{1}{3})

-0.05t=\text{ln}(\frac{1}{3})

t=\frac{\text{ln}(\frac{1}{3})}{-0.05}

t=\frac{\text{ln}(\frac{1}{3})\cdot 100}{-0.05\cdot 100}

t=\frac{\text{ln}(\frac{1}{3})\cdot 100}{-5}

t=-\text{ln}(\frac{1}{3})\cdot 20

t=-(\text{ln}(1)-\text{ln}(3))\cdot 20

t=-(0-\text{ln}(3))\cdot 20

t=20\text{ln}(3)

Therefore, it will take 20\text{ln}(3) years for area of the glacier to decrease to 15 square kilo-meters.

6 0
3 years ago
What is the inverse of the function f(x)= 6x-5/x+9
Goshia [24]

Answer:

Inverse of -5-9x/x-6

Step-by-step explanation:

Steps:

1: Interchange the variables x and y.      

x=6y-5/y+9

2: Solve x = 6y-5/y+9 for y

3: Multiply both sides by y+9

4: Simplify and Expand

5: Subtract 9x from both sides.

6: Simplify and Subtract y from both sides then Simplify again

7: Divide both sides by x-6

Answer: Inverse of -5-9x/x-6

<em><u>Hope this helps.</u></em>

6 0
3 years ago
Read 2 more answers
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