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marin [14]
2 years ago
12

You need a 60% alcohol solution. On hand, you have a 480 mL of a 75% alcohol mixture. How much pure water will you need to add t

o obtain the desired solution?​
Mathematics
1 answer:
svetlana [45]2 years ago
5 0

Answer:

120 mL

Step-by-step explanation:

If the 480 mL has 75% concentration, then 360 mL are alcohol. To turn the 360 into only 60%, you need to increase the amount of water.

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A recipe code lasagna calls for 3 pounds of tomatoes to serve 5 people. A caterer wants to make enough lasagna to serve 110 peop
yKpoI14uk [10]

Answer:

66 pounds of tomatoes

Step-by-step explanation:

A recipe code lasagna calls for 3 pounds of tomatoes to serve 5 people. A caterer wants to make enough lasagna to serve 110 people. How many pounds of tomatoes does he neeed

From the above question:

5 people = 3 pounds of tomatoes

110 people = x pounds of tomatoes

Cross Multiply

5 people × x pounds = 110 people × 3 pounds

x pounds = 110 people × 3 pounds/5 people

x pounds = 66 pounds of tomatoes

4 0
3 years ago
6<br> ∑<br> n=0 (−2n^2 +3n) <br> PLEASE HELP
Brrunno [24]
Umm more info?pleasep
3 0
3 years ago
The fuel efficiency for a 2007 passenger car was 31.2 mi/gal. For the same model of car, the fuel efficiency increased to 35.6 m
Ierofanga [76]

We have been given that fuel efficiency for a 2007 passenger car was 31.2 mi/gal and the same model of car, the fuel efficiency increased to 35.6 mi/gal in 2012. Also, the gas tank for this car holds 16 gallons of gas.

We need to write a function and graph a linear function that models the distance that each car can travel for a given amount of gas up to one tankful.

Let represent the functions as d_{1}(x) and d_{2}(x)  where d_{1} and d_{2} represent the distances traveled by car in years 2007 and 2012 and x represents the number of gallons. Therefore, we can express the required functions as:

d_{1}(x)=31.2x \text{ and } d_{2}(x) = 35.6x

Domain of both these functions are [0,16] and ranges are [0,499.2] and [0,569.6] respectively for years 2007 and 2012.

The difference function will be:

f(x)=35.6x-31.2x\\&#10;f(x)=4.2x

f(16)=4.2*16=67.2

Domain of this function is [0,16] and range is [0,67.2].

The graphs are shown below.


3 0
3 years ago
When bands play at the arena the money made from ticket sales is split in an agreed ratio. When Phillip Cage played, £21,000 was
natulia [17]

Answer:

£6000

Step-by-step explanation:

Given:

Phillip Cage played, £21,000 was split at a ratio of 2:5 between the arena and Phillip Cage.

Question asked:

How much money did the arena make from Phillip Cage's concert?

Solution:

Ratio Arena and Philip cage in which money distributed = 2 : 5

Let ratio be x

Money earned by Arena = 2x

Money earned by Phillip Cage = 5x

Phillip Cage played total for =  £21,000

<u>Money earned by Arena + Money earned by Phillip Cage = £21,000</u>

2x+5x=21000\\7x=21000\\

Dividing both sides by 7

x=3000

Money earned by Arena = 2x = 2\times3000=6000

Thus, Arena made  £6000 from Phillip Cage's concert.

5 0
3 years ago
What is the difference between multiplying a whole number by a decimal and multiplying two whole numbers
anastassius [24]
Two whole numbers will end up like this: 8x8=64,but multiplying a whole and a decimal will end up like this 8x8.1=64.1
or 8x8=8 to the second power.
this should be sufficient information.
7 0
2 years ago
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