The amount of water that should be added to 5 gallons of 50% acid to get 20% solution is 7.5 gallons.
Word problems in mathematics requires crucial understanding and mathematical knowledge to be able to solve real life cases.
From the information given:
Let consider (x) to be the amount of water to be added 5 gallons of 50% acid solution will be = 5 × 0.5 = 2.5 gallons of acid in 50% solution.∴
The amount of water to be added can computed by using the relation:
[tex]\mathbf{\dfrac{2.5}{x+5} = 20\%}[/tex]
[tex]\mathbf{2.5= 0.2(x+5)}[/tex]
2.5 = 0.2x + 1
2.5 - 1 = 0.2x
1.5 = 0.2x
x = 1.5/0.2
x = 7.5
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Chris bought 25.4 gallons of gasoline. There are approximately 3.8 liters in 1 gallon. How many liters of gasoline did Chris buy?
Answer:
Chris bought approximately 96.52 liters of gasoline.
Step-by-step explanation:
Since the problem states that every gallon of gasoline has approximately 3.8 liters, simply multiply 3.8 by the number of gallons given (25.4).
25.4 * 3.8 = 96.52
It costs $8 for admission to the Park City Ice Arena. In addition, renting skates costs $4 per hour.
Write an equation that shows how the total cost, y, depends on the length of the rental in hours, x.
Do not include dollar signs in the equation.
40 dollars
Step-by-step explanation:
Answer:
y = 8 + 4x
Step-by-step explanation:
y is the total cost of 1 skating experience.
y = 8 + 4x
This can be read as: the total cost, y, is equal to the admission, $8, plus $4 times the number of hours the skates are rented. No snacks included.
Paul has thirteen coins in his piggy bank. Some of the coins are quarters, some are nickels, and he has a total of $3.55. Which system of equations can be used to determine how many quarters, x, and how many nickels, y, he has?
A.
x + y = 13
0.25x + 0.5y = 3.55
B.
x + y = 13
0.25x + 0.05y = 3.55
C.
x + y = 13
25x + 5y = 3.55
D.
x + y = 3.55
0.25x + 0.05y = 13
Answer:
The answer is B
Step-by-step explanation:
you know that x is quarters which is .25 and you know that y is nickels which is .05
there are a total of 13 coins in the bank so x+y = 13
you also know that the 13 coins = 3.55
so plug in all that you know and the problem is
0.25x + 0.05y = 3.55
Profit is defined as earnings less expenses (earnings - expenses). At the local hot-air balloon festival, the Ma & Pops Ice Cream Truck sells ice cream pops, which cost them $0.75 each, but are sold for $2 each. They also paid $50 to the festival's organizers for a vendor permit. The table below shows the earnings, expenses, and profit earned when 50, 75, and 100 ice cream pops were sold at the festival.
Answer:
Step-by-step explanation:
What is the missing angle of the triangle 48° 58°
Answer:
74 degrees
Step-by-step explanation:
Start w/180 degrees. (The total measure of a triangle.) Then subtract 106 (the sum of the 2 known angles) from 180. We then get 74 degrees (The measure of the missing angle)
The table shows the ratio between the number of books ordered and their cost: Number of Books Cost (dollars) 7 21 8 24 9 27 Find equivalent ratios when the number of books ordered is 1, 2, and 3. Write them as ordered pairs in the form (x-coordinate, y-coordinate). Starting from the origin, explain how to plot the three equivalent ratios on a coordinate grid. (10 points)
Answer:
(1, 3), (2, 6), (3, 9)
Step-by-step explanation:
Dividing the first given ratio by 7 gives ...
7/7 : 21/7 = 1 : 3
Multiplying this by 2 and 3 gives the other ratios you want.
= 2(1) : 2(3) = 2 : 6
= 3(1) : 3(3) = 3 : 9
The equivalent ratios are (1, 3), (2, 6), (3, 9).
Solve the equation.
a-6=13
Answer:
a=19
Step-by-step explanation:
In this equation you want to solve for a
In this case you simply add 6 to 13 because -6 is attached to the a on the left side and you want a on it's own.
a - 6 = 13
+6 +6 (-6+6 = 0) (6+13=19)
a = 19
please help me!
ty :)
Answer:
y-2 = 5(x-3)
Step-by-step explanation:
-
Hope that helps
Determine what type of model best fits the given situation: A 4% raise in salary each year. A. none of these B. exponential C. linear D. quadratic
Answer: C. linear
Step-by-step explanation:
Since the raise is going to be a constant amount, a 4% raise, the model will be linear.
Correct me if I am incorrect.
pleaseeeeeee helpppppppp
Answer:
B) Multiplying by 0
Step-by-step explanation:
This answer is correct because lets say we have a nonzero number, (IN this case lets say 4) 4+0 is 4, and that does not change the value because it is still 4, so A is not correct. Multiplying by 1 and dividing by one leads to the same conclusion. They both wind up to 4. The only one is B) because 4x0 is 0 and that isn't 4, so it changes value.
Hope this helped :)
Define linear relationship. Give an
relationship.
PLESE HELP
Answer:
in linear algebra a linear relationship or simply relation between elements of a vector space or a module is a linear equation that has these elements as a solution
Solve the equation for x if necessary, enter fractions in lowest terms, using a slash (/) as a fraction bar
4x - 1 = 3(x + 1)
x=
Answer:
Step-by-step explanation:
4x - 1 = 3(x + 1)
4x - 1 = 3x + 3 [remove the parentheses by multiplying each term by 3]
4x = 3x + 4 [add 1 to both sides]
1x = 4 [Subtract 3x from both sides]
x = 4
===
Try it:
4x - 1 = 3(x + 1): ??
4*4 - 1 = 3(4 + 1) ??
15 = 3(5)
15 = 15 yes
Henry had beaten 12 levels in a video game. If the ratio of levels he had beaten to not
beaten was 6:1, how many levels does the game have total?
ricks bikes 24 miles in 3/4 of an hour what is the speed in the miles per hour.
Answer:
=32
Step-by-step explanation:
the speed = distance / time = 24 / (3/4) = 24*4 / 3 = 96 / 3 = 32 (mile/hour)
Explain how 3/4 ×7, 7×3/4 and 3×7/4 are all related
Answer:
3/4×7
= 0.75×7
=5.25
7×3/4
=7×0.75
=5.25
3×7/4
=3×1.75
=5.25
all answer is same so, however we do all answer come 5.25
this way they all are related
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
The airplane is 12 ft long.
Step-by-step explanation:
If one inch is 2 feet in real life, if there are six inches, that means there are 12 feet because it is a one to two ratio. :)
Answer:
12 ft
Step-by-step explanation:
is Y = 4 x 2 proportional?
Answer:
no
Step-by-step explanation:
Proportinal relationships follow the equation y = kx k is the constant of proportianality
The final price of a pair of socks is $6.40. It is on sale for 20% off. What is
the original price of the socks?
Answer: original price= $8
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 8 × 20/100
Discount = 8 x 0.2
You save = $1.60
Final Price = Original Price - Discount
Final Price = 8 - 1.6
Final Price = $6.40
solve for x 12+6x/3= 5-9/2
Answer: I hope this helps! :)
x = -3
rearrange terms: 6x+12/3 = 5-9/2subtract the numbers: 6x+12/3 = -4/2eliinate fractions denominators: 3 times 6x+12/3 = 3(-2)simplify fractions: 6x+12/3 = -2eliinate fractions denominators: 3 times 6x+12/3 = 3(-2)multiplt the numbers: 6x + 12 = -6subtract 12 from both sides of the equation: 6x + 12-12 = -6-12simplify: 6x = -18divide both sides of the equation by the same factor: 6x/6 = -18/6x = -3Answer: x=-3
Answer:
[tex]x = -3[/tex]Step-by-step explanation:
[tex]\frac{12 + 6x}{3} = \frac{5 - 9}{2}[/tex]=> [tex]2(12 + 6x) = 3(5 - 9)[/tex]=> [tex]24 + 12x = 15 - 27[/tex]=> [tex]24 + 12x = -12[/tex]=> [tex]24 + 12 = -12x[/tex]=> [tex]36 = -12x[/tex]=> [tex]x = -3[/tex]Conclusion:
Therefore, x = -3
Hoped this helped.
[tex]GeniusUser[/tex]
how many real square roots does -1 have?
There are no real square roots does -1 have.
-1 is negative, it does not have a real square root.
Here, we have,
we know that,
The number -1 does not have any real square roots.
In the real number system, a square root of a number is a value that, when squared, gives the original number.
However, when we square any real number, the result is always non-negative.
Since -1 is negative, it does not have a real square root.
It is 0 because there are no square roots for negative numbers.
Hence, There are no real square roots does -1 have.
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220 m in 20 s
What is the unit rate?
Answer:
m/s ...................................
- Nelton spent $44.75 on 5 tickets to the football game.
What was the cost of one ticket?
Answer:
8.95
Step-by-step explanation:
when you divide it 44.75 divided by 5 it willl appeer the price of only one
Answer:
$8.95
Step-by-step explanation:
44.75/5=8.95
Peggy earned $20 for each lawn she mowed last summer. This summer, she raised her price to $23 per lawn. What is the percent increase of Peggy’s charges?
Answer:
15 percent
Step-by-step explanation: You will substract the new value from the old value.
23-20
Now you will get the difference between them and divide that by the original amount.
3/20
This will equal 0.15 in which you now multiply by 100
15 percent
Name an example of a real life use of the sine graph.
Answer:
Sine and cosine functions can be used to model many real-life scenarios – radio waves, tides, musical tones, electrical currents.
im sorry if its wrong I just search this :)
If you are SMART? What is 100 x 100 without using a calculator?
Answer:
i got you it 10,000
Step-by-step explanation:
all you have to do is add the zeros
What is the value of the sin each of the following 5607 506 702 803 562
Answer:
sin(5607) = 0.67641680533
sin(506) = -0.202179403335
sin(702) = -0.989367016834
sin(803) = -0.948263002181
sin(562) = 0.33827666045
Step-by-step explanation:
put sin into a calculator and then put in the number
hope this helps! :)
What is the 2nd equivalent fraction to 5/7
Hello!
2nd equivalent fraction to is 5/7 is 10/14.
Other equivalent fractions are 15/21, 20/28, 50,70...
I hope this helps,
Have a great day!
Which numbers is divisible by 5,10 and 15.
A) 15
B) 20
C) 21
D) 34
Hope you could get an idea from here.
Doubt clarification - use comment section.
At the fundraiser, Chad washed 7 cars every 3 hours and earned over $150 for the school dance. 3. Choose the correct answer. Which phrase in the situation translates to the slope? 3 hours for every 7 cars 3 hours and earned over $150 7 cars every 3 hours 7 cars and earned over $150
Answer:
the answer is 22
Step-by-step explanation:
Answer:ion run it
Step-by-step explanation:
BUM
4. Find the range of f(x) = -x + 4 for the domain {-3, -2, -1, 1}.
O {7, 6, 5, 3}
O {-7, -6, -5, -4}
O {7, 6, 5,4}
O {-7, -6, -5, 3}