Answer:
55 from un-pure and 165 from pure
Step-by-step explanation:
to get 220 pints with 95% purity you need a mixture of 209 parts to 11 parts (220 *0.95 and 220 * 0.05)
we call the un-pure mixture a and the pure mixture b
all un-pure parts come from a and b in the following ratios
11 = 0.2a + 0b (each pint of mixture a adds 0.2 pints of unpure stuff and each pint of b adds no unpure stuff)
which we can then solve as:
a = 55
all pure parts come from a and b in the following rations
209 = 0.8a + 1b (each pint of mixture a adds 0.8 pints of pure stuff and each pint of b adds a full pint of the pure stuff)
now we can replace a with 55 (from above)
209 = 44 + b, and solve to
b = 165
now to double check
55 * (0.8x + 0.2y) + 165x would give you
44x + 11y + 165x, which is
11x + 209y and if you then check the ratio
209 / (209+11) = 0.95 again
There will be 55 pints and of un-pure and 165 pints of pure fruit drinks.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
To get 220 pints with 95% purity you need a mixture of 209 parts to 11 parts (220 *0.95 and 220 * 0.05)
We call the un-pure mixture a and the pure mixture b
All un-pure parts come from a and b in the following ratios
11 = 0.2a + 0b (each pint of mixture a adds 0.2 pints of unpure stuff and each pint of b adds no unpure stuff)
which we can then solve as:
a = 55
All pure parts come from a and b in the following rations.
209 = 0.8a + 1b (each pint of mixture a adds 0.8 pints of pure stuff and each pint of b adds a full pint of the pure stuff)
Now we can replace a with 55 (from above)
209 = 44 + b, and solve to
b = 165
Now to double check
55 x (0.8x + 0.2y) + 165x would give you
44x + 11y + 165x, which is
11x + 209y and if you then check the ratio
209 / (209+11) = 0.95
Therefore, there will be 55 pints of unpure and 165 pints of pure fruit drinks.
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You are going to a private apple orchard to pick apples. There is a one-time entry fee
that everyone pays, and you also pay a certain amount per pound of apples you pick. It
costs $42 to buy 5 pounds of apples, and it costs $54 to buy 7 pounds of apples.
Based on this information, what is the one-time entry fee?
The one-time entry fee is $12.
In order to determine the one-time entry fee, two equations have to be formed from the information in the question:
x + 5y = 42 equation 1
x + 7y = 54 equation 2
Where:
x = one-time entry fee
y = cost to pick an apple per pound
In order to determine the one-time entry fee, take the following steps:
Multiply equation 1 by 7 and equation 2 by 5.
7x + 35y = 294 equation 3
5x + 35y = 270 equation 4
Subtract equation 4 from equation 3
2x =24
Divide both sides of the equation by 2
x = $12
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The table shows the amount of time a delivery truck has been driving and the distance traveled. The total distance traveled is a direct variation of the number of hours. Use the model below to find the slope.
The slope of the line represents that the a distance of 55 miles is covered each hour
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Let y represent the distance in miles covered in x hours.
Using points (2, 110) and (7, 385) from the table:
[tex]slope(m)=\frac{y_2-y_1}{x_2-x_1}=\frac{385-110}{7-2}\\\\m=55[/tex]
Therefore the slope of the line represents that the a distance of 55 miles is covered each hour
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Find the cost of carpeting a 9 foot by 12 foot room at $30 per square yard.
Answer:
Step-by-step explanation:
Multiply the total number of square feet by the cost per square foot of the carpet. If padding isn't included, multiply the cost of the padding by the total number of square feet, and then add the result to the total cost per square foot of the carpet.
108 Sq Ft 12 Sq YdsEstimated Price
$3,240.00 Carpet Cost
$0.00 Padding Cost
$3,240.00 Carpet & Padding Cost
hope that help
The ratio of girls to boys in a class is 6 to 8. If there are 27 girls in the class, how many boys are there?
x = 36 boys
x = 40 boys
x = 32 boys
x = 46 boys
Answer:
36
Step-by-step explanation:
6:8
27/6 = 4.5
8 · 4.5 = 36
help! ignore pencil work! any comment with a link or answer that dosnt relate or i found out later that thats the wrong answer will be deleted! PLEASE SHOW WORK
Answer: x = 13, Angle ABE = 51°
Step-by-step explanation:
Since angle ABC is 90° and angle EBC is 39°, subtract them.
90° - 39° = 51°
This means that angle ABE equals 51°. Plug in 51° as the y in the equation y = 3(x+4).
51 = 3 (x + 4)
Multiply 3 by x and 4.
51 = 3x + 12
Subtract both sides by 12.
39 = 3x
Divide both sides by 3.
x = 13
PLEASE HELP I WILL GIVE BRAINLIEST IF YOU ARE CORRECT
Which of the following is a function equivalent to
f(x)=3(1.2)4x ?
Group of answer choices
f(x)=3(2.01)x
f(x)=3(2.07)x
f(x)=3(4.8)x
f(x)=12(1.2)x
Answer:
f(x)=12(1.2)x
Step-by-step explanation:
The area of a square is 161 m2. Which of the following best represents the perimeter of the square?
Answer:
322m for perimeter
Step-by-step explanation:
161/2 = 80.5
80.5*4 = 322
i think
Match the example on the left with the corresponding property on the right.
3(x - 2) = 3x - 6
Commutative
3+ (4 + 5) = (3 + 4) + 5
Associative
- 4x - 8 = – 2(2x + 4)
Distributive
4.5.6=6.4.5
(2.3). 7 = 2 · (37)
3(x - 2) = 3x - 6 ---> Distributive
3+ (4 + 5) = (3 + 4) + 5 ---> Associative
- 4x - 8 = – 2(2x + 4) ---> Distributive
4.5.6=6.4.5 ---> Commutative
(2.3). 7 = 2 · (37) ---> Associative
Tell whether the ordered pair is a solution to the equation. Please show how you solved it.
(4, 4); y = -x + 8
Answer:
The ordered pair is a solution to the equation
Step-by-step explanation:
Plug the ordered pair into the equation as (x,y):
y = -x + 8
4 = -4 + 8
4 = 4
Since both sides are equal to each other, then the ordered pair is a solution to the equation.
Yes, it is a solution to the equation.
Plug in the values 4, for y, and 4, for x. Since there is a negative sign next to x, it turns 4 into -4. So, the equation will look like this: 4 = -4 + 8, add 8 to -4, and you get 4. 4 = 4. 4 = 4 is a true statement, so the pair IS a solution to the equation. Hope this helps!
pls help mwah I also give brainlest <3
which sign makes the statement true?
A.<
B. >
C. =
Answer:
-7 1/2 equals to -7.5
so
-7.5 ___ -7.75
-7.5 > -7.75
X - 98 + X divided by 2 when x is 300?
will give brainliest
Answer:
441
Step-by-step explanation:
Where you see X, substitute with 300
300-98 + 300÷2
291 + 150
= 441
Answer:
352
Step-by-step explanation:
important info:
x = 300
Solution/Explanation:
300-98+300 ÷ 2=
202+150=
352
Hence, the Answer is 352.
What is an equation of the line that passes through the points (-6, 5) and (6, -7)?
Plz answer
PLZ HELP
fill in the blanks
Answer:
Step-by-step explanation:
First, to solve the problem, you must distribute the 5 to the (2 + 9). Which ends you up with 10 + 45. Which would give you 55, but we aren't solving it.
So instead, when you are distributing, you are taking the number next to the parentheses (5) and multiplying it into the parentheses like this:
(5 x 2) + (5 + 9).
That is your answer. Hope this helps.
8. Beth doesn’t begin to receive commission until she reaches $50,000 in sales. Once she does, her commission rate is 12%. If she sells cars totaling $115,000, how much money does she make in commission?
A.$13,800
B.$6,000
C.$7,800
D.$8,400
PLEASE HELP ME
Answer:
The Answer Is A. $13,800
Step-by-step explanation:
why is 0.384 lighter then 0.3798
my Christmas present to you
thank you very much for this! :)
100 points!!!!!!!!!!!!
Answer:
a)
Step-by-step explanation:
Answer: pretty sure it's d but I could be wrong
Step-by-stepStep-by-step explanation:
0.9 ÷ 13 = ____
0.0707÷ 70=____
32.27 ÷ 55=_____
18.2 ÷ 51=_____
We can describe 3x - 2 as an expression.
How can we describe the parts of the expression that the arrows point to?
3x- 2
Given:
3x - 2
To find:
Describe the parts of the expression
Solution:
3x - 2Let us consider, f (x) = 3x - 2
The standard equation of the straight line is given by, y = mx + c
comparing the given equation with straight line equation, we get,
f (x) = y
m = 3
c = -2
m is the gradient of line
c is the y intercept (the graph crosses the y - axis)
Suppose that g(x) = f(x) + 5. Which statement best compares the graph of
g(x) with the graph of f(x)?
Answer:
See below
Step-by-step explanation:
Adding 5 to the function means there's a vertical shift of 5. For example, if f(x)=x^2, then g(x)=f(x)+5 makes g(x) 5 units above f(x)
What is the greatest common factor of 14, 30, and 40?
Answer:
1x14 1x30 1x40
Step-by-step explanation:
HELP !!! HI PLEASE HELP PLEASE I NEED MATH HELP LOL
Answer:
(-1, 0.5)
Step-by-step explanation:
please mark brainliest
Determine which of the lines if any are parallel or perpendicular
Answer:
Parallel: 6, 1
Perpendicular6,. 1
Brainliest for free
JK
Solve the inequality d + 6 < 13 for d.
Answer:
[tex]\huge\boxed{\sf d < 7}[/tex]
Step-by-step explanation:
Given inequality is:
d + 6 < 13
Subtract 6 to both sides
d < 13 - 6
d < 7
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH18075) find the value of x and y
Answer:
x = 45°, y= 5°
Step-by-step explanation:
x = 9y
90+2x = 180
2x = 90
x = 45
so x = 45
9y = 45
y = 5
Jerry is buying hot dogs and hamburgers for his barbeque. Hot dogs cost $7 per pack, while hamburgers cost $12 per pack with taxes included. Jerry can spend a maximum of $70 on the food.
Answer: see below
Step-by-step explanation:you would do $5y + $6y - $50 or $11y - $50
If Hot dogs cost $5 per pack and hamburgers cost $6 per pack you would multiply the amount of packs by the amount of money it costs then you would subtract by the amount he can spend on food therefore the answer being
$5y + $6y - $50 or $11y - $50
what is 3/4 doubled as a fraction
Answer:
1 2/4.....1 1/2...........6/4
Step-by-step explanation:
add two 3/4.
1 2/4.
It is either 1 1/2, or 6/8. Not enough context is given to decide which, you should be able to figure it out though.
If the sum of difference of 13 and 4 divided 64 and 8 is subtracted from the result. Find that number. Mathematical equation plz.
Answer:
13+4=17,17/64=3-8=-5
Step-by-step explanation:
this is the solution
Step-by-step explanation:
Let x be the number subtracted from 13 such that the difference is 13-x
divide that resulting difference by 11, then it becomes (13 - x) / 11
Multiply the quotient by 8 then the expression becomes ((13-x)/11)^ * 8
the product comes to 8 then ((13-x)/ 11)^ * 8=8 solve the equation divide
both sides by 8, then (13 - x) / 11 = 1 cross multiply 13 - x = 11 add -13 to both sides - 13 + 13 - x = 11 - 13, - x = - 2 . x = 2 Therefore the number is 2
What is the slope of the line that passes through the points (-4, 3) and (6, -5).
Answer:
-4/5
Step-by-step explanation:
m=[tex]\frac{y2-y1}{x2-x1}[/tex]
m=[tex]\frac{-5-3}{6-(-4)}[/tex]
m=-8/10
m=-4/5