What is the concentration of a new solution obtained by mixing 25ml of water with 125ml of a 20% salt solution in water?
We want to find the concentration (percentage of salt in volume) in a mix of 25 mL of water an 125 mL of a 20% salt solution.
We will find that the concentration is: 16.7%
Let's see how to get that.
The concentration will be given by the quotient between the amount of salt and the total volume.
The amount of salt will be given by:
s = 125mL*0.2
This is because a 20% of these 125 mL are salt.
And the total volume is just the sum between the volume of water (25 mL) and the volume of salt solution (125 mL)
v = 25 mL + 125 mL = 150 mL
Then the concentration will be:
s/v = 0.2*(125 mL)/(150 mL) = 0.167
Now we multiply this by 100% to get:
0.167*100% = 16.7%
The concentration of the mixture will be 16.7%, so when we mixed the solution with water the concentration decreased, as expected.
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x - 32 = 73 what dose x equal
x - 32 = 73
to get x add 32 to 73
32 +73 = 105
x = 105
The angles of a triangle measure 4 degrees 86 degrees and 90 degrees classify the triangle
Perform the indicated operation. 1 2/3 + 5 3/8
A. 7 1/24
B. 6 5/24
C. 6 124
Answer: The correct option is (A) [tex]7\dfrac{1}{24}.[/tex]
Step-by-step explanation: We are given to perform the following indicated operation :
[tex]E=1\dfrac{2}{3}+5\dfrac{3}{8}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We will be using the following rule :
[tex]a\dfrac{b}{c}=\dfrac{ac+b}{c}.[/tex]
From (i), we get
[tex]E\\\\=1\dfrac{2}{3}+5\dfrac{3}{8}\\\\\\=\dfrac{5}{3}+\dfrac{43}{8}\\\\\\=\dfrac{40+129}{24}\\\\\\=\dfrac{169}{24}\\\\\\=7\dfrac{1}{24}.[/tex]
Thus, the required answer is [tex]7\dfrac{1}{24}.[/tex]
Option (A) is CORRECT.
Find the slope and give the slant of the line passing through the given pairs of points (4,-1)(-2,3)
Use a table to compute the product below. (x2 + x + 9)(x - 6) A. x3 - 5x2 + 3x - 54 B. x3 - 5x2 - 3x - 54 C. x3 - 6x2 + 3x - 54 D. x3 - 7x2 + 3x - 54
A company make concrete bricks shaped like rectangular prisms.
The coordinates of the vertices of △ABC are A(−4, 6) , B(−2, 2) , and C(−6, 2) .
The coordinates of the vertices of △A′B′C′ are A′(2, 6) , B′(0, 2) , and C′(4, 2) .
Drag and drop the answers into the boxes to correctly complete the statement.
A sequence of transformations that maps △ABC to △A′B′C′ is a blank followed by a blank.
translation 2 units left
reflection across the x-axis
reflection across the y-axis
translation 2 units down
Answer-
The sequences of transformations that maps △ABC to △A′B′C′ are
Reflection across the y-axisTranslation 2 units leftSolution-
The coordinates of the vertices of ΔABC are
A = (−4, 6)
B = (−2, 2)
C = (−6, 2)
The coordinates of the vertices of ΔA′B′C′ are
A′ = (2, 6)
B′ = (0, 2)
C′ = (4, 2)
As all the y-coordinates of all the function are same, so the triangle is neither translated up or down (∵ (x, y) → (x, y±k)), nor reflected over x-axis(∵ (x, y) → (x, -y)).
As the signs of x-coordinate is changed, it might be reflected over y axis,
Rule for reflection over y axis is,
(x, y) → (-x, y)
so,
A" = (4, 6)
B" = (2, 2)
C" = (6, 2)
As the x-coordinates of vertices of ΔA′B′C′ are 2 units less than that of ΔA"B"C"
So it is then translated 2 units left.
Therefore, the sequences of transformations that maps △ABC to △A′B′C′ are
Reflection across the y-axisTranslation 2 units leftAnswer:
Here is my test answer
Step-by-step explanation:
Which graph represents f(x)= -1/2x^3
Answer:
Last graph represents the given function.Step-by-step explanation:
First, we need to consider a few rules about transformation of functions, specifically about the negative sign and the division of the function by a number.
The negative sign indicates that the function has to be reflected regarding the vertical axis. The normal function is like the third option, and the reflect one is like the last graph.
On the other hand, the fraction presents a contraction of the function size, but this characteristics is not enough to select the right graph, because third and fourth options have the same size.
Therefore, according to the negative sign in the given function, the correct answer is the last graph.
We want to see which one of the given graphs is the graph of the function:
f(x) = (-1/2)*x^3
The correct graph is the last one, positive at the left, when x is negative, and negative at the right, when x is positive.
Let's analyze our function, first we know that the parent cubic function:
g(x) = x^3
Is negative for negative values of x and positive for positive values of x, then the graph is below the horizontal axis at the left, and above the horizontal axis at the right.
But our function multiplies this by a negative number, -1/2.
Then that is inverted, we should see that at the left, the graph is above the horizontal axis, and at the right the graph is below the horizontal axis.
Then the correct option is the last graph.
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Suppose that there are eight corporations competing for nine different contracts. If the contracts are awarded randomly, what is the probability that each corporation will get at least one contract?
To find the probability that each corporation will get at least one contract out of eight corporations competing for nine different contracts, we can use the concept of permutations and the principle of inclusion-exclusion.
Explanation:To find the probability that each corporation will get at least one contract, we can use the concept of permutations. Since there are 8 corporations and 9 contracts, we can calculate the total number of ways to assign the contracts to the corporations without any restrictions, which is 9! (9 factorial).
Next, we need to find the number of ways that each corporation gets at least one contract. This can be calculated using the principle of inclusion-exclusion. We subtract the number of ways that at least one corporation doesn't get a contract from the total number of permutations.
The number of ways that at least one corporation doesn't get a contract can be calculated by assigning 9 contracts to 7 corporations, which is 7! (7 factorial).
Finally, we can calculate the probability by dividing the number of ways that each corporation gets at least one contract by the total number of permutations:
Probability = (9! - 7!) / 9!
What is the mid point of (-4,-6), (3,-6)
Cammie goes to the gym to exercise 4 times per week altogether how many times does she go t the gym in 10 weeks?
(27p6)5/3 in simplify form.
6 and 5/3 are exponents.
Choose all the sets containing the number Pi:
natural numbers
whole numbers
integers
rational numbers
irrational numbers
real numbers
Answer:
The set containing Pi is:
Irrational numbers.Real numbers.Step-by-step explanation:
We have to classify the number "pi" or π.
We know that:
Pi is the ratio of a circumference of a circle to it's diameter.
Pi is an irrational number i.e. it could not be represented in the form of p/q where p is an integer and q is a natural number.
However we sometimes take pi to be 22/7 ; but it's not exactly the same it's just a close approximation.
Hence, we may classify Pi as:
Irrational number.
Also irrational number comes in the category of real numbers.
Hence, Pi is also a real number.
( As real numbers are divided into two category:
1. Rational number
2. Irrational number
Also Rational number contains whole numbers, integers and whole numbers)
Using the number sets, the correct options are:
irrational numbers real numbers-------------------------------------
Whole numbers: Set of numbers including all positive numbers and 0, so: {0,1,2,...} Integer numbers: Number without decimals, that can be positive of negative, so: {...,-2,-1,0,1,2,....} Rational numbers: Integer plus decimals that can be represented by fractions, that is, they either have a pattern, or have a finite number of decimal digits, for example, 0, 2, 0,45(finite number of decimal digits), 0.3333(3 repeating is the pattern), 0.32344594459(4459 repeating is the pattern). Irrational numbers: Decimal numbers that are not represented by patterns, that is, for example, 0.1033430290339. Real numbers: Rational plus irrational.-------------------------------------
The number [tex]\pi = 3.1415...[/tex] is a decimal number without repetition, that is, it has infinite decimal places, thus it is irrational.Irrational numbers are also real.Thus, the correct options are irrational and real.A similar problem is given at https://brainly.com/question/10814303
A sweater was originally $55. It is now marked down to 65% of its original price. How much is the sweater now?
solve for p −160=22+8(3p−4)
y=f(x) is odd (f(-x)=-f(x)) and f(x>0) = x^2-5x-12, x is not = to 0. What points does the line f(x)=12 go through.
A student solution to the equation 3X +2 equals 15 the show. Describe and correct the error that the student made.
Tom deposited $2410 in a bank that pays 12% interest, compounded monthly. Find the amount he will have at the end of 3 years
Which of the following expression simplifies to 4/15?
A. -2/3-2/5
B. -2/5+2/3
C. -2/3 +2/5
D. 2/5+2/3
Answer quick plz
Determine which value is a solution to the open sentence. 3 + 6x = 21
a. 3
b. 18
c. 12
d. 4
"what is the value of the digit in the ten thousands place for this number"
If jay ran 1 mile in 5 minutes on monday, 2 miles in 10 minutes on tuesday, and 3 miles in 15 minutes on wednesday, how many miles do you think he might run in 20 minutes on thursday?
Answer:
Jay might run 4 miles in 20 minutes
Step-by-step explanation:
If Jay ran on Monday = 1 mile in 5 minutes
On Tuesday = 2 miles in 10 minutes
On Wednesday = 3 miles in 15 minutes
Jay is increasing his time by 5 minutes per day and distance 1 mile per day.
So the next day Jay might run 1 mile + previous day distance in 5 minutes + time of the previous day.
Therefore, Jay might run 4 miles in 20 minutes
Which of the following demonstrates the commutative property across multiplication for 2 × 10 × 7
Answer:
2 × 10 × 7 = 7 × 10 × 2.
Step-by-step explanation:
Given : 2 × 10 × 7
To find : Which of the following demonstrates the commutative property across multiplication.
Solution : We have given 2 × 10 × 7
By the commutative multiplication property : a × b × c = c× b × a.
Example : 1 * 3 * 5 = 5 *3 *1
15 = 15.
So, 2 × 10 × 7 = 7 × 10 × 2.
140 = 140
Therefore, 2 × 10 × 7 = 7 × 10 × 2.
Which is true about the completely simplified difference of the polynomials 6x6 − x3y4 − 5xy5 and 4x5y + 2x3y4 + 5xy5?
At 7p.m last night the temperature was 10 °f at 7
a.m. the next morning the temperature was -2 by how much did the temperature change from 7 p.m. to 7
a.m.?
Complete the two-column proof.
Given: x/6 + 2 =15
Prove: x = 78
X/6 + 2 =15 a. __________
x/6= 13 b. __________
x = 78 c. ___________
Answer:
This is proved with two property of equality subtraction and multipication property.
Step-by-step explanation:
Given [tex]\frac{x}{6} + 2 = 15[/tex]
By subtraction property of equality
[tex]\frac{x}{6} +2 - 2 = 15 - 2[/tex]
⇒ [tex]\frac{x}{6} = 13[/tex]
Now by multiplication property
x = 13(6) = 78
Hence the result.
After eating dinner at the local diner, your bill is $14.25. if you tip 10%, how much money will you leave the waiter?
Answer:
Money leave for the waiter is $ 1.43 .
Step-by-step explanation:
As given
After eating dinner at the local diner, your bill is $14.25.
if you tip 10% .
10% is written in the decimal form .
[tex]= \frac{10}{100}[/tex]
= 0.10
Money leave for the waiter = 0.10 × Dinner cost .
Put all the values in the above
Money leave for the waiter = 0.10 × $14.25
Money leave for the waiter = $ 1.43 (Approx)
Therefore money leave for the waiter is $ 1.43 .
U=-2a-3/ka, write an equation to solve for a (do not actually answer)
I thought of a number, added 4 5/7 to it, and got the number 12 times as big as my original what was my number
Answer:
3/7
Step-by-step explanation: