An amount of 2 liters of the 30 % vinegar solution to obtain a 20 % vinegar solution.
How to determine the required addition to obtain a given measure of a vinegar solution
According to the statement, a vinegar solution with a given concentration must be prepared by using two vinegar solutions with different concentrations. We can find the required addition of the 30 % vinegar solution by weighted averages, whose respective formula is:
(20 / 100) · (4 + x) = (30 / 100) · x + (15 / 100) · 4
0.2 · (4 + x) = 0.3 · x + 0.15 · 4
0.8 + 0.2 · x = 0.3 · x + 0.6
0.1 · x = 0.2
x = 2
An amount of 2 liters of the 30 % vinegar solution to obtain a 20 % vinegar solution.
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Evaluate each expression when x = 2.
Number 31 i will give brainliest
POSSIBLE OR INPOSSIBLE?
A multiple of 7 between 80 and 90.
1
1) Find the average rate of change in height for Chuck. At age 10, Chuck
was 51 inches tall. At age 18, Chuck was 64 inches tall.
I
The average rate of change is 1.625.
How to find the average rate of change?The average rate of change in height for chuck can be found as follows:
The average rate of change is a measure of how much the function changed per unit, on average, over that interval.
Therefore,
average rate of change = change in y / change in x
Therefore,
(10, 51)(18, 64)
average rate of change = y₂ - y₁ / x₂ - x₁
x₁ = 10
x₂ = 18
y₁ = 51
y₂ = 64
Therefore,
average rate of change = 64 - 51 / 18 - 10
average rate of change = 13 / 8
average rate of change = 1.625
Therefore, the average rate of change is 1.625.
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If P(A)=0.9, P(B)=0.1, and A and B are independent, find P(A and B).
According to the given statement;
If P(A)=0.9, P(B)=0.1, and A and B are independent, P(A and B)=0.09
What is probability of event?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a proposition is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. The likelihood that an event will occur increases with its probability. A straightforward illustration is tossing a fair (impartial) coin. Since there are no other possible outcomes and the coin is fair, the odds of both the outcomes, "heads" and "tails," are equally likely to occur. As a result, the probability of either outcome is half.
According to the given value;
P(A) = 0.9
P(B) = 0.1
A and B independent;
We know that independent
P(A∩B) = P(A) · P(B)
= (0.9)*(0.1)
=0.09
P(A∩B) =0.09
hence, If P(A)=0.9, P(B)=0.1, and A and B are independent, P(A and B)=0.09
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Simplify 5x - 4x
Show your work
its geometry hope someone sees thing lol
From the given geometry, it can be concluded that line 'a' and 'b' are parallel.
What do you mean by geometry?
Geometry is a discipline of mathematics concerned with the study of the sizes, forms, locations, angles, and dimensions of objects.
The area of mathematics that studies the characteristics, measurement, and spatial relationships of points, lines, planes, and figures.
From the geometry, the angles 19 and 22 are consecutive converse exterior angles when line 'a' and 'b' is cut through a transversal 'e'. And their sum is 180°. So, lines 'a' and 'b, are parallel.
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what is the relationship between
a and b are vertically opposite angle ...
☘☘☘...
a function has an initial value of 5 and a rate of change of 6 PLEASE HELP MEEEEE
the sum of 3 consecutive even integers is 36. find the integers
Answer:
12, 12, and 12
Step-by-step explanation:
12 is an even integer, and 12 + 12 + 12 = 36, so it would be logical for 12 to be the unknown integer.
What is the price of 0.02percent of it is 0.01£?
Answer:
2*10^-4
Step-by-step explanation:
0.02*0.01
3. How many ways can 10 students line up for lunch?
The 10 students can be lined up for lunch in 3628800 ways.
What is factorial of a number?Factorial of a number n is defined as the product of that number with every number less than or equal to the given number till 1.
The formula is given by:
n! = n(n-1)(n-2)(n-3(n-4)(n-5)(n-6)....3.2.1
We have,
n! = n(n-1)(n-2)(n-3)(n-4)(n-5)......3.2.1
We have to arrange for 10 students so n = 10.
Now,
10! = 10.9.8.7.6.5.4.3.2.1
Multiply each number.
10! = 3628800 ways
Therefore the 10 students can be lined up for lunch in 3628800 ways.
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Which expression is equivalent to 24 *1/3 ?
12432
O 2√3
O 2/3
O 2√6
O 2/6
Refer to the graph at the right. Write each equation in the correct column.
The only possible equation of the drawn line is: y - 2 = 1/2(x + 4)
The rest options are not equations of the drawn line.
What is the Equation of a Line in Point-Slope Form?The equation, y - b = m(x - a), is the point-slope form of any given line where m is the slope of the line and any point on the line is given as (a, b).
Slope (m) = rise/run.
Find the slope (m) of the graph at the right.
Slope (m) = rise/run = 1 units/2 units
Slope (m) = 1/2.
Any possible equation of the line should have a slope of 1/2.
y - 2 = 1/2(x - 4), y - 2 = 1/2(x + 4), and y - 4 = 1/2(x - 2) are the only equations that has a slope of 1/2.
Using a point on the line, say (0, 3), substitute x = 0 and y = 3 into each of the three equations to check if the equation is true.
y - 2 = 1/2(x - 4)
3 - 2 = 1/2(0 - 4)
1 = -2 [not true]
y - 2 = 1/2(x + 4)
3 - 2 = 1/2(0 + 4)
1 = 2 [not true]
y - 4 = 1/2(x - 2)
3 - 4 = 1/2(0 - 2)
-1 = -1 [true]
Therefore, the only possible equation of the drawn line is: y - 2 = 1/2(x + 4)
The rest 4 equations are not equations of the drawn line.
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Select the correct answer.
The number of cities in a region over time is represented by the function C(x)=2.9(1.05)^x. The approximate number of people per city is represented by the function P(x) = (1.05) (1.05) 3+5
Which function best describes T (2), the approximate population in the region?
OA. T (2) 2.9(1.05) 3²+5x
OB. T (T) (6.09)^4x+5
OC. T (1) 2.9(1.05)^4x+5
OD. T(x)= (3.045)^x + (1.05)^3x+5
The correct option is option C.
T(x) = 2.9(1.05)⁴ˣ ⁺ ⁵
Given the number of cities in a region is represented by the function:
C(x) = 2.9(1.05)ˣ
The approximate number of people per city is represented by the function P(x) = (1.05)³ˣ⁺⁵
we are asked to determine T(x), the approximate population in the region = ?
combine C(x) and P(x)
therefore, T(x) = C(x)P(x)
T(x) = 2.9(1.05)ˣ(1.05)³ˣ⁺⁵
During multiplication, when bases are same then powers are added.
T(x) = 2.9(1.05)³ˣ⁺ˣ⁺⁵
T(x) = 2.9(1.05)⁴ˣ⁺⁵
Hence we get the approximate function of T(x) as T(x) = 2.9(1.05)⁴ˣ⁺⁵
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Between which two perfect cubes does the cube root 141 lie
125 and 216 are two perfect cubes
Tina's refrigerator unexpectedly failed and she had to purchase a replacement for $1,100. Unfortunately, this came at the same time
that she had to pay her real estate taxes. She decided to use the store's credit offer of a 1.2% monthly periodic rate if the balance is not
paid by the second month. If she pays $500 by the second month and plans to pay the balance due at the end of the fourth month, how
much will she have to pay then?
$619.87.
$607.20.
$614.49.
$641.69.
Answer: if my math is correct i think its b
Step-by-step explanation:
The correct option is option C that is the due amount which Tina needs to pay at the end of fourth month is $ 614.4.
What is algebra ?
Algebra is a branch of mathematics that deals with various symbols and the arithmetic operations such as division , multiplication , etc.
It is given that Tina needs to purchase a refrigerator as replacement for $1100.
The monthly periodic rate if balance is not paid by the second month = 1.2 %
The amount she paid by the second month = $500
The due amount is :
= 1100 - 500
= $600
This amount she decided to pay by end of fourth month or after two more months.
Let's assume the amount she had to pay now at the end of fourth month is x then it given by :
= 600 + ( 600 × [tex]\frac{1.2}{100}[/tex] × 2)
= 600 + ( 12 × 1.2 )
= 600 + 14.4
= $ 614.4
Therefore , the correct option is option C that is the due amount which Tina needs to pay at the end of fourth month is $ 614.4.
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Need to get this math done. What is the product?
In multiplication when bases are same, the powers are added. So the answer after simplifying is d) -24a^3b^7
Product of (3a^2b^4)*(-8ab^3)
Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. Multiplication essentially means the repeated addition of groups of equal sizes. While solving multiplication problems, one-digit numbers can be multiplied in a simple way by using the multiplication tables, but for larger numbers, we split the numbers into columns using their respective place values, like ones, tens, hundreds, thousands, and so on.
The multiplication formula is expressed as, Multiplicand × Multiplier = Product; where:
Multiplicand: The first number (factor).
Multiplier: The second number (factor).
Product: The final result after multiplying the multiplicand and multiplier.
(3a^2b^4)*(-8ab^3)= -24a^3b^7
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7) Mt. Denali in Alaska measures about 5,500 meters from its base to its
highest peak. How high is this in feet? Round your answer to the nearest
thousand.
The measured height in feet of the base to its highest peak is 18045.5 feet
How to determine the measured height in feet?The given parameter is
Length of the base to its highest peak = 5500 meters
As a general rule
1 meter = 3.281 feet
So, we have:
Length of the base to its highest peak = 5500 * 3.281 feet
Evaluate the product
Length of the base to its highest peak = 18045.5 feet
Hence, the measured height in feet of the base to its highest peak is 18045.5 feet
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HELP!!!! Finding the initial amount and rate of change given a table for a linear function
The initial amount and rate of change given a table for a linear function are $65 and $86, respectively
How to find the initial amount and rate of change given a table for a linear function?The table of linear function represents the given parameter
On the table, we have the following points
(x, y) = (6, 476) and (10, 736)
The rate of change is calculated as
Rate = (y2 - y1)/(x2 - x1)
So, we have
Rate = (736 - 476)/(10 - 6)
Evaluate
Rate = 65
This means that the rate of change is $65
The initial amount is calculated as
y = m(x - x1) + y1
Where
m = 65
So, we have
y = 65(x - x1) + y1
Using one of the points, we have
y = 65(x - 6) + 476
Set x = 0
So, we have
y = 65(0 - 6) + 476
Evaluate
y = 86
Hence, the initial amount and rate of change given a table for a linear function are $65 and $86, respectively
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URGENT PLEASE HELP ‼️
After investing a sum of money for 10 years a person accumulated $84 200. The simple interest earned from the investment was $24 600.
(a) What was the initial sum of money invested?
(b) What was the percentage rate of return per annum on the investment?
Answer- A) 59,600 ; B) 4.12% per year.
Explanation
84,200 minus 24,600 is 59,600. This means the originally cost put into the account was 59,600.
Next we have to divide the amount of interest earn into the number of years that the amount was accumulated. 24,600 divided by 10 is 2460. This means that each year 2,460 were earned in interest. 59,600 divided into 2,460 is 0.0412751678. This rounds to .0412 If we move our decimal to a percentage this leaves us with 4.12% This means that annual interest on the investment is 4.12%
Hope this helps! Good Luck!
Seth buys last year's best-selling novel, in hardcover, for $16.90. This is with a 35% discount from the original price. What was the original price of the novel?
Answer:26
Step-by-step explanation:
x - .35x = 16.90
x(1 - .35) = 16.90
x(.65) = 16.90
x = 16.90/.65
x = $26
Please I need to know
Answer:
46
Step-by-step explanation:
need to find the value of xp
Answer:
x = 10
Step-by-step explanation:
it is given that: Line m || line n and line t is their transversal.(6x + 10)° is the vertical angle of the interior angle formed by the top line (perhaps line m) and it's transversal.Thus, by interior angles on the same side of the transversal, we have:-> (6x + 10)° + (10x + 10)° = 180° -> (16x + 20)° = 180°-> 16x + 20 = 180-> 16x = 180 - 20-> 16x = 160x = 160/16x = 10The surface are of three demensional shape
The surface area of the given cuboid is 48ft².
What is a cuboid?A cuboid is a hexahedron, or six-faced solid, in geometry. It has quadrilateral faces. Cuboid means "like a cube," in the sense that a cuboid can be transformed into a cube by adjusting the length of the edges of the angles between edges and faces.The formula for the Surface area of a cuboid: 2(lw + wh +lh)
Now, substitute values in the formula as follows:
2(lw + wh +lh)2[(5×2) + (2×2) + (5×2)]2(10 + 4 + 10)2(24)48ft²Therefore, the surface area of the given cuboid is 48ft².
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solve this question 1
help me on this easy problem for 15 points
Answer:
11000
Step-by-step explanation:
I=(PxRxT)/100
I=(10000x20x1)/100x2
I=200000/200
I=1000
TA=10000 + 1000
Total Interest = 11000
If your car gets 33 miles per gallon, how much does it cost to drive 350 miles when gasoline costs $3.50 per gallon?
Answer:
$37.12
Step-by-step explanation:
Total cost = $3.50(350/33) = $37.12
point x is located at (4.8, 0.8) and divides line segment AB in ratio 2:3 select two possible sets of endpoints for segment AB
The possible endpoints are: (i) A(x, y) = (6, - 2) and B(x, y) = (3, 5), (ii) A(x, y) = (4, 4) and B(x, y) = (6, - 4).
What are the possible locations of the endpoints of a line segment?
In this problem we know the location of the midpoint and the line segment ratio. There are two posibilities according to the definition of line segment ratio:
AX / BX = 2 / 3 (1)
BX / AX = 2 / 3 (2)
And now we solve for each case:
Case 1
X(x, y) = A(x, y) + (2 / 5) · [B(x, y) - A(x, y)]
X(x, y) = (3 / 5) · A(x, y) + (2 / 5) · B(x, y)
(4.8, 0.8) = (3 / 5) · A(x, y) + (2 / 5) · B(x, y)
(4.8, 0.8) = 0.6 · A(x, y) + 0.4 · B(x, y)
(4.8, 0.8) - 0.6 · A(x, y) = 0.4 · B(x, y)
(12, 2) - 1.5 · A(x, y) = B(x, y)
B(x, y) = (12, 2) - 1.5 · A(x, y)
Now we proceed to check each choice:
A(x, y) = (6, - 2)
B(x, y) = (12, 2) - 1.5 · (6, - 2)
B(x, y) = (3, 5) TRUE
A(x, y) = (6, 2)
B(x, y) = (12, 2) - 1.5 · (6, 2)
B(x, y) = (3, - 1) FALSE
A(x, y) = (8, 1)
B(x, y) = (12, 2) - 1.5 · (8, 1)
B(x, y) = (0, 0.5) FALSE
A(x, y) = (2.4, 0.4)
B(x, y) = (12, 2) - 1.5 · (2.4, 0.4)
B(x, y) = (8.4, 1.4) FALSE
A(x, y) = (4, 4)
B(x, y) = (12, 2) - 1.5 · (4, 4)
B(x, y) = (6, - 4) TRUE
A(x, y) = (1.8, - 1.2)
B(x, y) = (12, 2) - 1.5 · (1.8, - 1.2)
B(x, y) = (9.3, 3.8) FALSE
Case 2
X(x, y) = B(x, y) + (2 / 5) · [A(x, y) - B(x, y)]
X(x, y) = (2 / 5) · A(x, y) + (3 / 5) · B(x, y)
(4.8, 0.8) = (2 / 5) · A(x, y) + (3 / 5) · B(x, y)
(4.8, 0.8) = 0.4 · A(x, y) + 0.6 · B(x, y)
(4.8, 0.8) - 0.4 · A(x, y) = 0.6 · B(x, y)
(12, 2) - 0.667 · A(x, y) = B(x, y)
B(x, y) = (12, 2) - 0.667 · A(x, y)
Now we proceed to check each choice:
A(x, y) = (6, - 2)
B(x, y) = (12, 2) - 0.667 · (6, - 2)
B(x, y) = (8, 3.334) FALSE
A(x, y) = (6, 2)
B(x, y) = (12, 2) - 0.667 · (6, 2)
B(x, y) = (8, 0.667) FALSE
A(x, y) = (8, 1)
B(x, y) = (12, 2) - 0.667 · (8, 1)
B(x, y) = (6.664, 1.333) FALSE
A(x, y) = (2.4, 0.4)
B(x, y) = (12, 2) - 0.667 · (2.4, 0.4)
B(x, y) = (10.399, 1.733) FALSE
A(x, y) = (4, 4)
B(x, y) = (12, 2) - 0.667 · (4, 4)
B(x, y) = (9.332, - 0.668) FALSE
A(x, y) = (1.8, - 1.2)
B(x, y) = (12, 2) - 0.667 · (1.8, - 1.2)
B(x, y) = (10.8, 2.8) FALSE
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5.6967 rounded to nearest thousandth
Answer
5.6967 rounded up will be 5.697.
Step-by-step explanation:
5 Q1. The multiplicative inverse of - 5/7
(-7/5) is the multiplicative inverse of the number - 5/7.
The answer to the question is (b/a), which is the multiplicative inverse of the fraction number that is (a/b).
So, according to the question:
The reciprocal of (-5/7) is (-7/5).
As a result, (-7/5) is the right response to a multiplicative inverse.
What is inverse multiplicative?The reciprocal of the supplied integer can be used to establish a number's multiplicative inverse. The denominator must not be 0 in order for a multiplicative inverse to exist. And the result of the multiplication should be 1.
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