1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tanya [424]
3 years ago
7

A scientist needs 10 L of a solution that is 60% acid. She has a 50% acid solution and a 90% acid solution she can mix together

to make the 60% solution.
Let x represent the number of liters of the 50% solution.
Let y represent the number of liters of the 90% solution.
Which equation represents the total liters of acid that are needed?
Question 3 options:
x + y = 6
x + y = 10
0.5x + 0.9y = 6
0.5x + 0.9y = 10
Mathematics
1 answer:
sineoko [7]3 years ago
6 0

Answer:

<u>The equations system is:</u>

<u>x + y = 10</u>

<u>0.5x + 0.9y = 6</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Liters of 60% acid solution needed = 10

x = Number of liters of the 50% solution

y = Number of liters of the 90% solution

2. Which equation represents the total liters of acid that are needed?

There are two equations needed:

The first one related to the total liters needed, 10 in this case:

x + y = 10

The second one related to the acid concentration of the 10 liters:

0.5x + 0.9y = 10 * 0.6

0.5x + 0.9y = 6

<u>The equations system is:</u>

<u>x + y = 10</u>

<u>0.5x + 0.9y = 6</u>

Solving for x and y in the 2nd equation, we have:

0.5 (10 - y) + 0.9y = 6

5 - 0.5y + 0.9y = 6

0.4y = 6 - 5

0.4y = 1

y = 1/0.4 = 2.5 ⇒ x = 7.5 (10 - 2.5)

The scientist can mix 7.5 liters of the 50% acid solution and 2.5 liters of the 90% acid solution to get the 10 liters of the 60% acid solution.

You might be interested in
What is 212,514 +396,705 estimated
umka21 [38]

Answer:

Estimate = 600,000

Step-by-step explanation:

An estimate can be defined as a rough calculation of a numerical value, usually the upper limitation.

Given the following numerical values;

212,514

396,705

To add the two values together, we would first of all determine the estimate.

Estimate of 212,514 = 200,000

Estimate of 396,705 = 400,000

Adding the two values;

200,000 + 400,000 = 600,000.

Actual addition of the values would have given;

212,514 + 396,705 = 609,219.

Therefore, 600,000 is an estimated value of 609,219.

3 0
3 years ago
what operations would you use in order to solve 3x - 4 = 26. Please write the operations in the order you would use them.
Ratling [72]

Answer:

3x-4=26 |+4

3x=30 |:3 to get clear x

x=10

Hope this helps!!

Step-by-step explanation:

8 0
3 years ago
Describe how to determine the average rate of change between x = 3 and x = 5 for the function f(x) = 3x3 + 2. Include the averag
Anit [1.1K]

Answer:

<u><em>I HOPE IT WILL WORK</em></u>

Step-by-step explanation:

As  for average rate of change we know

A(x)=f(5)-f(3)/(5-3)

where

f(x)=3 x 3 + 2       (1)

putting x=5 we get

f(5)=3(125)+2 =377

f(3)=83

hence putt in (1)  we get

A(x)=294/2 =146

this is required average rate of change

thanks if you like it hit the stars and brain-list it

4 0
4 years ago
There are 7.48 gallons in a cubic foot. If residents of the apartment building are using the water from the tower at an average
Talja [164]

Answer:

Step-by-step explanation:

So, volume is always cubed since you have l x w x h.

A cubic ft is 12 in x 12 in x 12 in = 1728 in3. If we assumed that the aquarium has a volume of around 35328.78 in squared. Hence,

35328.78/1728 = 20.44

20.44 x 7.48 = 152.89

About 153 gallons

Noted that the water was used at the rate of 56 gallons per minute.

56 gallons -------- 1 minute

153 gallons --------- x minute (s)

56gallon × Xminutes = 153 gallons × 1 minute

X = 153/56

X = 2.7321 minutes

Hence, it will take 2.7321 minutes to drain the tower

6 0
3 years ago
Mark bought an electronic tablet on sale for 1 fourth off the original price of $825.00. He also wanted to use a coupon for 1 fi
umka21 [38]
Mark paid for $1 for the tablet
8 0
3 years ago
Other questions:
  • Sari is factoring the polynomial 2x2 + 5x + 3. What is the missing number in her factorization? 2x2 + 5x + 3 = (2x +[ ? ])(x + 1
    6·1 answer
  • Determine the volume of a sphere with a diameter of 70 mm. Question 13 options: A) 21,714.7 mm3 B) 3,216.9 mm3 C) 100,024 mm3 D)
    6·1 answer
  • A large rectangle has side lengths of 8 meters and 6 meters. A smaller rectangle with side lengths of 4 meters and 2 meters is c
    14·1 answer
  • What is 42% expressed as a fraction? A 42%/1 B 21/50 C 42/10
    13·1 answer
  • 0.0660 into scientific notation
    14·2 answers
  • 5x * 2y<br><br> Please help<br> ASAP
    5·2 answers
  • Confused on what to do
    7·2 answers
  • Simplify using i 3+2i/6+5i
    8·1 answer
  • 1.3x(1+10/100)^2 please help to show how we can calculate this
    10·2 answers
  • Which line graph represents the solution set of 2x-5&lt;3
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!