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
Katen [24]
2 years ago
14

A 20-gallon container is filled halfway with a mixture that is $90\%$ vinegar and $10\%$ water. How many gallons of water must b

e added for the mixture to become $60\%$ vinegar and $40\%$ water
Mathematics
1 answer:
Yuki888 [10]2 years ago
8 0

Answer:

5 gallons of water must be added.

10 gallons to start with

adding 'x' gallons of water      final volume = 10 + x

.9 (10) = amount of vinegar

.1(10) = amount of water

amount of vinegar before and after water addition is constant

.9(10) = .6(10+x)  

9 = 6 + .6x

3 = .6x

x = 5 gallons of water to be added

(i truly hope i helped you

You might be interested in
At sea world San Diego kid are only allowed into the air bounce if they are between 37 and 61 inches tall they are only allowed
ss7ja [257]

Answer:

Step-by-step explanation:

a. For the Air Bounce, children must be at least 37 inches tall. If we let h denote the child's height in inches, this means h≥37. They are also not allowed to be more than 61 inches tall so h≤61. We say h≥37 and h≤61. (This can be written as a compound inequality, but that is not expected at grade 6)  

For the Tide Pool Climb, children are not allowed to be over 39 inches. Using h for the child's height, this is represented by h≤39. We should also write this as 0<h since a height cannot be zero or negative.

b. The allowable heights in inches for Air Bounce are shaded blue on the number line below (note that they include 37 inches and 61 inches). No negative numbers are included on the number line as this does not make sense for the context of height.  

   

 

The allowable heights for Tide Pool Climb are shaded purple on the number line below:

   

 

Although it is not possible for a child to be close to 0 inches tall, these numbers are shaded because they fit the inequality h≤39. No negative numbers (or 0) are plotted because they do not make sense in the context of height. So the graph shows heights satisfying 0<h and h≤39.

c. In order go on the Tide Pool Climb, a child cannot be over 39 inches in height. In order to go on the Air Bounce, a child has to be at least 37 inches tall but not more than 61 inches. So to go on both, a child must be at least 37 inches tall but not more than 39 inches: 37≤h and h≤39. These heights in inches are highlighted on the number line below:

   

 

Notice that the shaded parts of this number line are where the shaded parts of the two previous underlines overlap: this makes sense as we are looking for heights of those who can go on both rides.

              ( I hope this helps and please Rate this answer it would really mean a lot to me :) )

6 0
4 years ago
PLZ HELP 100 PTS!!!!!!!!!!!!!!!!!
erma4kov [3.2K]

Answer:

x = 12

Step-by-step explanation:

The mistake made here is in making 130 = 9x + 7. They are not the same.

The central angle = 130 degrees.

Any angle sharing the endpoints of the central angle and having it's vertex on the same side of the central angle is 1/2 the central angle.

1/2 the central angle = 130 /2 = 65

Cyclic quadrilaterals (those with all 4 points touching a circle's circumference) have opposite angles  supplementary.

65 + 9x + 7 = 180           Combine like terms on the left

72 + 9x = 180                 Subtract 72 from both sides

72 - 72 + 9x = 180-72     Combine

9x = 108                          Divide by 9

9x/9 = 108/9                  

x = 12

 

8 0
3 years ago
Read 2 more answers
How many points are needed to name a specific line?
kenny6666 [7]
Two.

Example: a•------------------•b

You can't just call the line Line A because A is not a line, it's a point. But if you add another point, it makes a line, which would be called Line AB.
8 0
3 years ago
Read 2 more answers
Ali and his father went on a trip to Jazan. Ali drove 52 miles less than his
kenny6666 [7]

Answer:

90

Step-by-step explanation:

divide 292 by 2

subtract 56 to get Ali's and add 56 to his Dad's

I could be wrong it's 6 am

7 0
3 years ago
Write the standard form of the line that passes through the point (-2, 4) and is parallel to x - 2y = 6.
Radda [10]
First calculate the function of x-2y=6:
x-2y=6 | - x
-2y=6-x | ÷ (-2)
y=0.5x-3

Now you have the function. Because the slope you search is parallel to this one, the slope is the same (in this case 0.5). A slope of 0.5 means for 2 steps to the right go one up. To define the function you are searching you have to find out the y intercept. For this take your point (-2|4). Now go as many steps to the right until you reach the y intercept or x=0 in this case you need 2 steps. So for 2 steps right you go one up. Now you have the y intercept (5).
The resulting function is: f(x) = 0.5+6.
6 0
3 years ago
Other questions:
  • What is a best estimate for $21.15 $19.89 $6.52
    14·1 answer
  • State the null an alternative hypothesis in the following situations by defining the parameters used. Also, state any assumption
    9·1 answer
  • A company is analyzing monthly data for the number of cars sold
    14·1 answer
  • What's the square root of 25, 100, 36, 84, and 4.
    8·1 answer
  • Write 178/48<br> as a percent.
    7·2 answers
  • The graph shows a scuba divers ascent over time?<br> There’s 3 questions on the picture!
    12·1 answer
  • In 2004 Colin had a salary of $7200
    9·1 answer
  • Mucho help me please
    5·1 answer
  • The function h is defined by the following rule h(x)=-5x-3
    6·2 answers
  • Simplify the algebraic expression -30y+(-15y)+70
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!