Answer:
22 milliliters
step by step
solution B x 22
20 x 22 = 440 milliliters
Final answer:
Tom uses 1,500 mL of Solution B. By setting up equations using the volume percentage of alcohol in each solution and solving for 'x', the volume of Solution A, we find the required volume for Solution B.
Explanation:
To solve for the volume of Solution B that Tom uses, we first establish the equations based on the information given. Let's denote the volume of Solution A as x mL. Thus, the volume of Solution B will be x + 500 mL. The total amount of pure alcohol in the final mixture is 440 mL.
Using the volume percentage for alcohol content in each solution, we can set up two equations to find x. The first equation is based on Solution A (14% alcohol) and the second on Solution B (20% alcohol):
The total volume of alcohol combined from both solutions is equal to 440 mL, which gives us the equation:
0.14x + 0.20(x + 500) = 440
Solving for x we get:
Since x is the volume of Solution A and we know that Solution B is 500 mL more than Solution A, we calculate the volume of Solution B as follows:
x + 500 = 1,000 + 500 = 1,500 mL
Therefore, Tom uses 1,500 mL of Solution B.
can someone help me do this problem please
|2x-4|=22
Answer:
2x-4 = 22
2x = 26
x=13 check |26-4|=22
-(2x-4) = 22
-2x+4 = 22
-2x = 18
x=-9 Check |-18 -4| = |-22| = 22
Answer:
x=13
Step-by-step explanation:
Finding the answer to this is very simple actually. you can actually solve this problem without the || because x has to be a positive value for this to work. 2x-4=22 can be done by adding 4 to both sides and getting the answer 26. Isolate the variable by dividing both sides by 2 to get x=13
What is 14/18 as decimal
Answer:
14/18 = 0.778
Step-by-step explanation:
14 divided by 2 = 7
18 divided by 2 = 9
7/9 is the same as 7 divided by 9
= 0.778
The decimal equivalent of [tex]\( \frac{14}{18} \)[/tex] is approximately 0.777777777777778.
To convert [tex]\( \frac{14}{18} \)[/tex] to a decimal, one divides 14 by 18. This can be done by hand or with a calculator. When dividing 14 by 18, the result is a repeating decimal where the digit 7 repeats indefinitely. This repeating decimal can be represented as 0.777777777777778 when rounded to the nearest 10th decimal place.
Alternatively, one can simplify the fraction [tex]\( \frac{14}{18} \)[/tex] before converting it to a decimal. By dividing both the numerator and the denominator by their greatest common divisor, which is 2, the fraction simplifies to [tex]\( \frac{7}{9} \)[/tex]. When 7 is divided by 9, the result is again the repeating decimal 0.777777777777778.
In summary, [tex]\( \frac{14}{18} \)[/tex] simplifies to [tex]\( \frac{7}{9} \)[/tex] and as a decimal, it is approximately 0.777777777777778.
Identify the x-intercept.
1) y= 1/5x + 3
2) y= 6x - 7
3) y= -8/3x + 9
Answer:
Step-by-step explanation:
the x-intercept when y = 0
1 ) 1/5 x +3 =0 1/5x = - 3 so : x = -15
2) 6x -7 = 0 6x = 7 so ; x =7/6
3) -8/3x +9 = 0 -8/3 x = -9 so : x =27/8
Find the quotient:
32) 8,736
Answer:
273
Step-by-step explanation:
8736÷32=273
273×32=8736
how many vertical asymptotes does the graph of this function have? f(x)=5/3x(x+1)(x-7)
Answer:
The graph of the function has three vertical asymptotes
Step-by-step explanation:
we have the function
[tex]f(x)=\frac{5}{3x(x+1)(x-7)}[/tex]
we know that
To find the vertical asymptotes of a rational function, simply set the denominator equal to 0 and solve for x.
so
[tex]3x(x+1)(x-7)=0[/tex]
The values of x are x=-1,x=0, x=7
using a graphing tool
see the attached figure to better understand the problem
therefore
The graph of the function has three vertical asymptotes
Answer:
3. The answer is 3
Step-by-step explanation:
for every 8 candles that you sell you raise $96 you raise $288 how many candles did you sell
How to write 12 ten thousands 8 thousands 14 hundreds 7ones
Answer:
129,407.
Step-by-step explanation:
12 ten-thousands = 12*10000=120,000.
8 thousands = 8*1000=8000;
this gives us 120,000+8,000=128,000.
14 hundreds = 14*100=1400;
this gives us 128,000+1,400=129,400.
7 ones = 7*1=7;
this gives us 129,400+7=129,407.
Answer:
12,000 8,000 1,400 7
Step-by-step explanation:
I hope u get a tutor if u dont know how to do this I hope this helps
A line is parallel to y = 3x - 12 and
intersects the point (1, -2). What is the
equation of this parallel line?
Answer:
y=3x-5
Step-by-step explanation:
parallel means that both lines share the same gradient.
from the equation y=3x-12 , we can deduce that the gradient is 3 because it is in the gradient-intercept form
now substitute values into formula
y-y1=m (x-x1)
y--2=3 (x-1)
expand brackets and simplify
y+2=3x-3
subtract 2 from both sides of equation
y=3x-5
7/5 rational or irrational
Answer:rational
Step-by-step explanation:
Answer:
Step-by-step explanation:
Every integer is a rational number, since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number. However, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.
A farmer plans to use 180 feet of fencing to enclose a rectangular region, using part of a straight river bank instead of fencing as one side of the rectangle, as shown in the figure.
The farmer can determine the dimensions of the fenced area by solving the formula L + 2W = 180 feet, where L is the length of the fenced region along the river bank and W is the width.
Explanation:This is a classic application of the perimeter of a rectangle in the field of Mathematics. If the farmer is using part of a straight river bank instead of fencing for one side of the rectangle, then he only needs fencing for the other three sides. The formula to calculate the perimeter of a rectangle is 2(length) + 2(width), but since one side is not fenced, it is length + 2(width) in this case.
If we assume the length (L - along the river bank) and width (W) of the rectangular area, then the equation can be expressed as:
L + 2W = 180 feet
This formula can help the farmer calculate the dimensions of the fenced area needed in order to use his materials most effectively. He needs to solve this equation to find the values of length and width that add up to 180 feet.
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11.3 divided by 100
There was 5/8 of pie left in the fridge. Daniel are 1/4 of the leftover pie. How much of pie did he have?
Answer:
he had 1/4 of the pie; there's 3/8 left over. That's also 37.5% of the pie left over. Not sure what you're trying to get.
Step-by-step explanation:
1/4 is also 2/8
|b|+b^3;b=-2 evaluate the expression
Answer:
-6
Step-by-step explanation:
[tex] | - 2| = 2 \\ {( - 2)}^{3} = ( - 2)( - 2)( - 2) = ( - 8) \\ \\ | - 2 | + {( - 2)}^{3 } = 2 - 8 = - 6[/tex]
To evaluate the expression |b|+b^3 when b=-2, substitute -2 for b, evaluate |b| and b^3 separately and then add the results.
Explanation:To evaluate the expression |b|+b^3 when b=-2, we substitute -2 for b in the expression.
The absolute value of a number is that number's distance from zero on a number line, regardless of which direction. This means that the absolute value of any negative number is its positive equivalent. Thus, |b| is the same as |-2|, which equals 2.
Secondly, b^3 means b multiplied by itself twice. So (-2)^3 equals -2*-2*-2 which is -8.
First, we evaluate |b|. The absolute value of -2 is 2, so |b| = 2.
Next, we evaluate b^3. (-2)^3 = -8.
Finally, we add the two results together: 2 + (-8) = -6.
Therefore, when b=-2, the expression |b|+b^3 evaluates to -6.
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what is
[tex] \sqrt{180 } [/tex]
simplified?
Answer:
Step-by-step explanation:
I don't know exactly how simplified it will be, but you can get the square root smaller.
180: 2*2 * 3*3 *5
For every pair of prime factors you can take 1 of the pair outside the the square root and throw the other one away
sqrt(2*2*3*3*5) = 2 * 3 * sqrt(5) = 6*sqrt(5)
551.985 in expanded notation
Answer:
(5 x 100) + (2 x 50) + (1 x 1) + (9 x 0.10) + (8 x 0.01) + (5 x 0.001)
Answer:
(5 x 100) + (1 x 50) + (1 x 1) + (9 x 1/10) + (8 x 1/100) + (5 x 1/1000)
step by step explanation:
500 + 50 + 1 + 0.9 + 0.08 + 0.005
= 551.985
An equation of a line perpendicular to the line represented by the equation y=-1/2x-5 and passing through (6,-4)
Answer:
y = 2x - 16
Step-by-step explanation:
Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE Rate of Changes [Slopes]:
-½ → 2
-4 = 2[6] + b
-16 = b
y = 2x - 16 >> Perpendicular Line in Slope-Intercept Form
I am joyous to assist you anytime.
The equation of the line that is perpendicular to y = -1/2x - 5 and passes through the point (6, -4) is y = 2x - 16. This is found using the concept of negative reciprocals and the point-slope form of the line equation.
Explanation:The equation of the original line given is y = -1/2x - 5. The slope of this line is -1/2. Since a line perpendicular to this line will have a slope which is the negative reciprocal of -1/2, the slope of the line we're seeking is 2 (because -1 divided by -1/2 is 2).
We also know from the question that the line we're seeking passes through the point (6, -4). Using the slope-intercept form of the equation of a line (y = mx + b), where m is the slope and b is the y-intercept, we substitute the slope and the coordinates of the point into the equation to solve for 'b': -4 = 2*6 + b. Solving this equation gives us b = -16.
Therefore, the equation of the line that is perpendicular to y = -1/2x -5 and passing through the point (6, -4) is y = 2x - 16.
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Simplify: -3(4x - 5)
12x -15
12x + 15
-12x + 15
Simplify: -5x + 8 - 11x - 12
-16x - 4
16x + 4
16x - 4
2(4x - 8) - 10
8x + 26
8x - 26
-8x - 26
Answer:
[tex]8x - 26 \\ -16x - 4 \\ -12x + 15[/tex]
Step-by-step explanation:
2(4x - 8) - 10
8x - 16 - 10
|_______|
8x - 26
-5x + 8 - 11x - 12
___ ___ _____ ____
___ ____
-16x - 4
-3(4x - 5)
-12x + 15
For the third and first exercises, you just use the Distributive Property, and for the second exercise, all you are doing is combining like-terms.
I am joyous to assist you anytime.
What is 4/3 - (-3/4)
Answer:
0 I think
Step-by-step explanation:
Answer:
25/12 or 2 1/12
Step-by-step explanation:
4/3 - (-3/4) =
= 4/3 + 3/4
= 16/12 + 9/12
= 25/12
= 2 1/12
the number 3456 is divisible by which single-digit numbers?
Answer:
1, 2, 3, 4, 6, 8, 9
The number 3456 is divisible by the single-digit numbers 2, 3, 4, 6, and 8.
Explanation:The number 3456 is divisible by the single-digit numbers 2, 3, 4, 6, and 8.
To determine if a number is divisible by another, we check if the remainder is 0 when dividing the number being tested by the potential divisor. In this case, for example, if we divide 3456 by 2, we get no remainder, so it is divisible by 2.
Similarly, if we divide 3456 by 3, 4, 6, or 8, we get no remainder in each case, so it is also divisible by these numbers.
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Enter the numerical coordinates of the vertices of quadrilateral ABCD in the table. (Point A has been done for you.) Then predict the numerical coordinates of the vertices of quadrilateral A′B′C′D′ as the figure translates four different ways: 7 units up, 1 unit down, 4 units to the right, and 3 units to the left.
Answer:
Step-by-step explanation: Edmentum Answer
Answer:
Step-by-step explanation: I got it wrong lol
Liam bought a comic book and had $5 left. If he had a total of $8 walking into the store, how much did he spend on the comic book?
Liam used the equation 5x=8 to model the problem. He said that x represents the amount of money he spent. Liam said that the solution, x=1.6, means that he spent $1.60. Is he correct? Why or why not? If he is incorrect find the correct answer showing your work.
Pls Help Me
Answer: The comic book was $3.
Step-by-step explanation:
Instead of 5x=8, it should have been 5+x=8 because he only purchased a single comic book. Subtract 5 from 8 and your X value is 3.
Answer:
Liam spent $3 on the book.
Step-by-step explanation:
Liam bought a comic book and had $5 left.
He had a total of $8 walking into the store, so he spent [tex]8-5=3[/tex] dollars on the comic book.
Liam used the equation 5x=8 to model the problem.
This is wrong. The correct form would have been [tex]8-x=5[/tex] or [tex]5+x=8[/tex] where x represents the amount of money he spent.
Hence, Liam spent $3 on the book.
Write to show how you make a ten. Then add. What is 7+8?
Answer:14
Step-by-step explanation:
Answer:
it's 15
Step-by-step explanation:
one fifth of a number decreased by 7
Let n = the number
(1/5)n - 7
Let's assume that bacteria doubles every 10 minutes. If a culture begins with exactly
30 bacterial cells, how many bacteria will be present after 1 hour?
A 960 Bacteria
B 1000 Bacteria
C 1520 Bacteria
D 1920 Bacteria
Greetings!
First off, we should know that there are 60 minutes in an hour. Therefore, the first step we will need to do, is divide 60 by 10.
60 ÷ 10 = 6
As shown above, we now know we will have to double the number 6 times. If we start with 30, this will be our first problem.
(1) 30 + 30 = 60
And so on and so forth...
(2) 60 + 60 = 120
(3) 120 + 120 = 240
(4) 240 + 240 = 480
(5) 480 + 480 = 960
(6) 960 + 960 = 1920
And after our sixth time we have our answer:
1920 bacteria
Hope this helps!
~Fluerie
Estimate 29.14 x 5.2
Answer:
About 151.500
Step-by-step explanation:
Actual answer is 151.528 Just go with mental math.
What is 13.56 • 10 to the power of -8
I rlly need this for math tomorrow
Answer 0.0000001356
Step-by-step explanation:Since the exponent of the scientific notation is negative, move the decimal point
8 places to the left.
12x +10+3+8x ? What do I have to do ?
Simplifying
12x + 10 + 3 + 8x = 0
Reorder the terms:
10 + 3 + 12x + 8x = 0
Combine like terms: 10 + 3 = 13
13 + 12x + 8x = 0
Combine like terms: 12x + 8x = 20x
13 + 20x = 0
Solving
13 + 20x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-13' to each side of the equation.
13 + -13 + 20x = 0 + -13
Combine like terms: 13 + -13 = 0
0 + 20x = 0 + -13
20x = 0 + -13
Combine like terms: 0 + -13 = -13
20x = -13
Divide each side by '20'.
x = -0.65
Simplifying
x = -0.65
Answer:
You have to do like terms
Step-by-step explanation:
12x+10+8+8x
12x+8x = 20x
10+3 = 13
your answer would be
20x+10
Next number in the sequence 1 4 9 16 25
The next number in the sequence is 36.
Starting from 1, the number increases by 3, 1 + 3 = 4. But the next number, the number it's being increased by increases by 2. 3 + 2 = 5, 4 + 5 = 9. And again, 5 + 2 = 7, 7 + 9 = 16. And again. 7 + 2 = 9, 16 + 9 = 25. Therefore, it is increased to + 11, and the next number is 36.
I hope this helped, and you have a great day!
Answer:
36
Step-by-step explanation:
1² = 1 2² = 43² = 94² = 165² = 256² = 36Malachi’s garden is 2 3/5 meters long. He wants to plant tomato plants every 1/5 of a meter. How many plants can Malachi fit?
Answer:
13 plants.
Step-by-step explanation:
We have been given that Malachi’s garden is 2 3/5 meters long. He wants to plant tomato plants every 1/5 of a meter.
To find the number of tomato plant that will fit the garden, we will divide length of garden by 1/5 as:
[tex]\text{Number of tomato plant that will fit the garden}=2\frac{3}{5}\div \frac{1}{5}[/tex]
Convert mixed fraction into improper fraction:
[tex]2\frac{3}{5}\Rightarrow\frac{2\times5+3}{5}=\frac{10+3}{5}=\frac{13}{5}[/tex]
[tex]\text{Number of tomato plant that will fit the garden}=\frac{13}{5}\div \frac{1}{5}[/tex]
Convert to multiplication problem by flipping the 2nd fraction:
[tex]\text{Number of tomato plant that will fit the garden}=\frac{13}{5}\times \frac{5}{1}[/tex]
[tex]\text{Number of tomato plant that will fit the garden}=\frac{13}{1}\times \frac{1}{1}[/tex]
[tex]\text{Number of tomato plant that will fit the garden}=13[/tex]
Therefore, 13 plants will fit Malachi's garden.
transform pls in fraction (transformati in fractie pls) 3,(7)
Answer:
The fraction number is [tex]\frac{34}{9}[/tex]
Step-by-step explanation:
we have
[tex]3.777...[/tex]
This is a repeating decimal (a decimal that has a digit, that repeat over and over and over again without ever ending)
Convert to fraction number
Let
[tex]x=3.777...[/tex]
[tex]10x=37.777...[/tex]
we know that
[tex]10x-x=37.777...-3.777...[/tex]
[tex]9x=34[/tex]
[tex]x=\frac{34}{9}[/tex]
therefore
The fraction number is [tex]\frac{34}{9}[/tex]