The percent salinity of the resulting mixture is given as follows:
2.63%.
How to obtain the percent salinity?The percent salinity of the resulting mixture is obtained applying the proportions in the context of the problem.
The proportions are obtained applying the weighed mean, as follows:
0 x 1000 + 0.035 x 3000 = 105 gallons of salt.
Considering that the total mixture is of 1000 + 3000 = 4000 gallons, the percentage of salt in the resulting mixture is given as follows:
105/4000 x 100% = 2.63%.
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2(3b+6) =78 : Answer is 11
-2(6c-3) = -72 : Answer is 6.5
Check Right Side of both equations
Answer: The right side of the first equation is 78, and the right side of the second equation is -72. Both equations are correct.
In the first equation, 2(3b+6) = 78, if we solve for b we get b= 11.
In the second equation, -2(6c-3) = -72, if we solve for c we get c = 6.5.
Step-by-step explanation:
Given the relation, B = { (4,2), (5,-3), (12,4), (-3,6), (x, 7)), which of the numbered choices represents a value for x which will make B a function? 1) -3 2) 4 3) 5 4) 7
The numbered choice 7 represents a value for x which will make B a function.
What is a function?A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.
Given:
A relation B = {(4,2), (5,-3), (12,4), (-3,6), (x, 7)}.
To prove that the relation is a function:
Each input value gives only one output value.
Input → output
4 → 2
5 → -3
12 → 4
-3 → 6
x → 7.
So, the value of x can not be 4, 5, 12, -3.
From the options, the value of x is 7.
Therefore, the value of x is 7.
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I need help on this asap! Greatly appreciated!
We can fill in the fields as:
a) %6.50 shipping fee: x >= $0.01 and x < $20.
b) %9.00 shipping fee: x >= $20 and x < $50.
c) %11.00 shipping fee: x >= $50 and x < $75.
d) %12.25 shipping fee: x >= $75 and x < $100.
e) %13.10 shipping fee: x >= $100.
What is inequality?
An inequality is a mathematical statement that describes the relationship between two values, where one value is not equal to the other.
a) %6.50 shipping fee: x >= $0.01 and x < $20.
b) %9.00 shipping fee: x >= $20 and x < $50.
c) %11.00 shipping fee: x >= $50 and x < $75.
d) %12.25 shipping fee: x >= $75 and x < $100.
e) %13.10 shipping fee: x >= $100.
Each inequality represents a different shipping fee category at GoodSportsBuys.com, with the total cost of items purchased (x) falling within a certain range. The inequality symbol used in each statement represents the range of values that correspond to a particular shipping fee.
Hence, we can fill in the fields as:
a) %6.50 shipping fee: x >= $0.01 and x < $20.
b) %9.00 shipping fee: x >= $20 and x < $50.
c) %11.00 shipping fee: x >= $50 and x < $75.
d) %12.25 shipping fee: x >= $75 and x < $100.
e) %13.10 shipping fee: x >= $100.
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The measure of an angle is 166.7°. What is the measure of its supplementary angle?
i need help plsss
An angle has a length of 166.7°. The extra degree at 166.7 is 13.3
How Do I Find Additional Angles?We are aware that two angles are supplementary if their sum is 180 degrees. It is claimed that each angle is a supplement to another angle. In order to obtain an angle's complement, we can subtract an angle from 180 degrees. A typical circumstance is when they are on the same side of a straight line.In geometry, two angles are referred to as supplementary angles if their sum is 180 degrees. For instance, if A + B = 180°, then A and B are considered supplementary angles.Complementary angles always result in a straight angle when combined (180 degrees).Given,
The measure of an angle is 166.7°.
The supplement of 166.7 degrees is 180 - 166.7 = 13.3
Therefore the answer is 13.3°
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Answerrrr....
....................
(i) The required frequency is 12 for the class interval 50-60.
(ii) The mean height of students in a class is 155.3.
(iii) The median of the given data is 33.
(i)
Class Interval Frequency f Mid-value x fx
0-10 22 5 110
10-20 24 15 360
20-30 35 25 875
30-40 30 35 1050
40-50 27 45 1215
50-60 m 55 55m
60-70 6 65 390
70-80 4 75 300
∑f = 148+m ∑fx = 4300+55m
The mean of the data set shown in the table above is 31.
mean = ∑fx/∑f
Substitute the known values in the above formula, and we get
31 = (4300+55m)/(148+m)
31(148+m) = 4300+55m
4588 +31m = 4300+55m
55m - 31m = 4588 - 4300
24m = 288
m = 288/24
m = 12
Thus, the required frequency is 12 for the class interval 50-60.
(ii)The table below summarizes the data about the heights of students in a class.
Height (in cm) (x) d = (x -A)/10 Number of students (f) fd
130-140 135 -2 8 -16
140-150 145 -1 6 -6
150-160 155 0 14 0
160-170 165 1 20 20
170-180 175 2 12 24
∑f = 60 ∑fd = 22
Mean = A + ∑fd/∑f
Mean = 155 + 22/60
Mean = 155 + 0.3
Mean = 155.3
So, the mean height of students in a class is 155.3.
(iii) Given that the mean of data is 27 and the mode is 45
Mode = 3Median - 2Mean
45 = 3Median - 2(27)
45 = 3Median - 54
3Median = 54 + 45
Median = 99/3
Median = 33
Thus, the median of the given data is 33.
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The model is 3.1 feet tall. The actual building is 41.65 feet tall. This means that each foot in Matt’s scale model represents how many actual feet for the building?
Answer:
13.43
Step-by-step explanation:
How do you solve systems of equations with 3 variables using substitution?.
We can solve systems of equations with 3 variables using substitution by finding the value of one variable from one equation then putting the value of that variable in second equation and 3 equation then solving them properly.
The algebraic approach for system can significantly systems of equations at once is called the substitution method. As the name implies, this method involves substituting a variable's value from one equation into another. In this manner, a pair of linear equations are combined into a single, simple linear equation with just one variable.
Equations linear in three variables:
1. Use all but one of your equations to find all the variables that can be expressed in terms of one of the variables.
2. Determine the variable's numerical value using the one remaining equation.
3. Using that figure, determine the answers to all of the other variables.
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If the bae of the ail i 12 feet long and the height i 16 feet, what i the value of x?
The value of X will be 96 [tex]ft^{2}[/tex].
From the question, we can conclude that the shape is Triangle.
What is Triangle?
A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.
Hence we will use the formula of the area of a triangle.
Area of Triangle = bh/2.
In question, it's given that our Base is 12 ft and our Height is 16 ft.
Area = (12*16)/2
Area = 96 [tex]ft^{2}[/tex]
Therefore our value of area i.e. X will be 96 [tex]ft^{2}[/tex].
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What is the ratio of all 30 60 90 triangles?.
Answer:
see attachement
Step-by-step explanation:
Enrique y Silvia van a dar una fiesta a su nieta
Sofía y desean saber cuántos niños como máxi-
mo deben invitar; el dinero que tienen está re-
presentado por D= $ 7 500x y los gastos están
representados por G = $ 5 900x + 25.
La cantidad máxima de niños que pueden invitar Enrique y Silvia a la fiesta de su nieta, Sofía, es x = 10.
Enrique y Silvia van a dar una fiesta a su nieta Sofía y desean saber cuántos niños como máxi-mo deben invitar; el dinero que tienen está re-
presentado por D= $ 7 500x y los gastos están representados por G = $ 5 900x + 25.
Establecer la ecuación.
D = 7500x - G
7 500x - 5 900x - 25 = 0
Resolver la ecuación.
1 500x = 25
x = 10
Interpretar la solución.
La cantidad máxima de niños que pueden invitar Enrique y Silvia a la fiesta de su nieta, Sofía, es x = 10.
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What is the measure of an angle if it is five times?.
The measure of an angle if it is five times its complement: 75 degrees
Let us assume that the complement of the angle measures m degrees.
we have been given the measure of the angle is five times its complement.
So we get the measure of the angle = 5 × m
We know that two angles are complementary when their measures add to 90 degrees.
So we get an equation, m + 5m = 90
We solve above equation to find the value of m.
m + 5m = 90
6m = 90
m = 90/6
m = 15 degrees
This means, the measure of complement of the angle is 15 degrees.
And the required angle would be,
5 × 15 = 75 degrees
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The comple question is:
What is the measure of an angle if it is five times its complement?.
What is 1 more than 99?.
The Number which is more than 99 is 100.
Number:
Numbers are mathematical objects used for counting, measuring, and labeling. The original example is the natural numbers 1, 2, 3, 4, etc. [1] Numbers can be linguistically represented by numerals. More generally, individual numbers can be represented by symbols called digits. For example, "5" is the number representing the number five. Since only a relatively small number of symbols can be remembered, basic numbers are usually organized into number systems, which are systematic ways of representing each number. The most common number system is the Hindu-Arabic number system, which can represent any number using combinations of 10 basic numeral symbols called digits.
Greater than Number:
Greater than or equal to in mathematics is an inequality used to compare two or more numbers, quantities, or values. Used when one quantity or number is greater than or greater than the second or remaining quantity or number. This indicates that one value is greater than or greater than or greater than the other. The above symbol is ">". This is also called greater than. For example, Bella has a red pencil that is 5 cm long and a blue pencil that is 3 cm long.
According to the Question:
1 more than 99 is:
adding 1 +99 = 100.
Therefore,
1 more than 99 is 100.
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What is the product of 2x2x2?.
The product of 2x2x2 is 8.
A product is the outcome of multiplication in mathematics, or an expression that specifies the factors (numbers or variables) to be multiplied. For instance, the sum of 6 and 5 is 30. (the result of multiplication).
So 2x2x2 = 4x2= 8
Integers, natural numbers, fractions, real numbers, complex numbers, and quaternions are examples of typical special instances where it is possible to define the product of two numbers or the multiplication of two numbers.
In linear algebra, there are numerous different types of products. Some of them have names that sound confusingly close but have very distinct meanings (outside product, external product), while others have names that sound completely different but basically imply the same thing (outer product, tensor product, Kronecker product). These are briefly discussed in the sections that follow.
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The entire graph of the function f is shown in the figure below.
Write the domain and range of fas Intervals or unions of intervals.
domain
range
The graph of the entire function f has a domain of (-3 < x < -2) ∪ (0 < x < 1) and the range of (-5 < y < 5).
What do a function's domain and range mean?The set containing all input values is known as a function's domain.
A function's range is the collection of all possible output values.
In a graph:
The x-values, or horizontal axis, define the domain.
The y-values, or vertical axis, define the range.
The domain of the graph is given by the coordinates of x. For the given graph the x- coordinates are:
(-3 < x < -2) ∪ (0 < x < 1)
The range of the graph is given by the y-coordinates of the graph. For the given graph the y-coordinates are:
(-5 < y < 5).
Hence, the graph of the entire function f has a domain of (-3 < x < -2) ∪ (0 < x < 1) and the range of (-5 < y < 5).
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Estimate a 15% tip on a dinner bill of $39.62 by first rounding the bill amount to the nearest ten dollars.
Answer:50.00
Step-by-step explanation:
First you need to find what 15% of 39.62 is 5.94 or 6 so you would add 6 to 39.62 and get 34.62 then you round it all and get 35 and it is closer to 50 than 40.
An 18-ounce bottle of milk costs $3.60. A 12-ounce bottle of milk costs $3.00. Which bottle of
milk costs less per ounce and by how much?
Answer:
the 18 ounce bottle by 0.05
Step-by-step explanation:
the 18 ounce bottle costs 0.2
the 12 ounce bottle costs 0.25
The mass is 500
grams and the
volume is 40 cubic
centimeters
The mass is 125
grams and the
volume is v cubic
centimeters
The volume is 1.4
cubic centimeters
and the density is 80
grams per cubic
centimeter (et m
equal mass in
grams)
The mass is m
grams and the
volume is v cubic
centimeters.
Equation
The density of an object can be found by taking its mass
and dividing by its volume.
Write an equation to represent the relationship between
the three quantities (density, mass, and volume) in each
situation.
Let the density, D, be measured in grams/cubic
centimeters (or g/cm3).
The density is 12.5 grams per cubic centimeter and 80 grams per cubic centimeter.
What is the density?
Density is a measure of how much mass is contained in a given volume. It is defined as the ratio of mass to volume and is typically measured in units of grams per cubic centimeter (g/cm^3) or kilograms per liter (kg/L).
The mass is 500 grams and the volume is 40 cubic centimeters, therefore the density is:
density = mass / volume = 500 grams / 40 cubic centimeters = 12.5 grams per cubic centimeter
The mass is 125 grams and the volume is v cubic centimeters. To find the value of v, you can use the equation:
density = mass / volume = 125 grams / v cubic centimeters
so v = mass / density = 125 grams / 12.5 grams per cubic centimeter = 10 cubic centimeters
The volume is 1.4 cubic centimeters and the density is 80 grams per cubic centimeter. To find the mass you can use the equation:
mass = density x volume = 80 grams per cubic centimeter x 1.4 cubic centimeters = 112 grams
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How do you find the first term?.
To find the first term can be calculated an = a1 + d(n - 1).
The difference between every two successive terms in a sequence is the same; this is known as an arithmetic progression (AP). It is possible to obtain a formula for the nth term of the AP using this kind of development. A good example of an arithmetic progression (AP) is the series 2, 6, 10, 14,..., which follows a pattern in which each number is created by adding 4 to the previous term. The nth term in this series equals 4n-2. You may get the terms of the series by changing the nth term to n=1,2,3,... i.e.,
first term = 4n-2 = 4 when n = 1 (1)
-2 = 4-2=2
Second term for n = 2 is 4n-2 = 4. (2)
-2 = 8-2=6
When n is 3, the third term is 4n-2 (3)
-2 = 12-2=10
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What are the types of multiplication method?.
The types of multiplication method: addition method, long multiplication, grid method, drawing lines and by splitting two digit numbers into Tens and Ones
We know that the multiplication is nothing but a method of finding the product of two or more numbers.
In case of small numbers a multiplication is considered repeated addition, and we can solve simple multiplication problems by adding repeatedly.
But in case of larger numbers, we need to do long multiplication.
Multiplication methods:
1) by Repeated Addition
Consider example 4 × 5
This means, we can solve it as by adding 4 repeatedly five times 4 4 + 4 + 4 + 4 + 4 OR by adding 5 repeatedly four times 5 + 5 + 5 + 5
2) Long Multiplication
3) grid method,
4) by drawing lines
3) by splitting two-Digit Numbers into Tens and Ones
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A store has a
25
%
25%25, percent off sale on coats. With this discount, the price of one coat is
$
34.50
$34.50dollar sign, 34, point, 50.
The price of one coat is $46.
What is Percentage?Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number. So the percentage actually means a part per 100.
Given that,
a store has 25% off sale on coats.
Discounted price of one coat = $34.50
We have to find the original price of the coat. Let it be x.
x - (25% x) = 34.5
x - 0.25x = 34.5
0.75x = 34.5
x = 46
Hence the original price of the coat is $46.
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5. In the circle, arc AD = 79, and
Answer:34
Step-by-step explanation:
ad divided by 79=34
Are 1 3 and 2 7 equivalent fractions?.
No, 1/3 and 2/7 are not the equivalent fractions.
In mathematics, equivalent fractions are those with the same denominator and differing numerators. For instance, because 2/4 and 3/6 are both equal to 1, they are both comparable fractions. Part of a whole is a fraction. Identical portions of the whole are represented by equivalent fractions.
Every fraction has an equivalent fraction, which can be found by multiplying the numerator and denominator by the same integer. In spite of their visual differences, equivalent fractions are those that indicate the same value. For instance, if you take a piece of cake, divide it into two equal pieces, then eat one of them, you will have consumed half of the cake.
let us consider,
1/3 = 2/7
0.33 = 0.29
so, it is not equals.
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Correct Question:
Are 1/3 and 2/7 equivalent fractions?.
Alyssa has a cell-phone plan that charges a fixed price for each text message, no mater how many she sends. The table below shows the number of text messages Alyssa sent and the amounts she was charged for them on her last three bills.
(Table showed in attached image)
Using x for the number of text messages sent and y for the amount charged, find the equation of the line that models this relationship and find the rate Alyssa is charged for each text message.
The equation of the line is ____ .
Alyssa is charged $____ for each text message.
Answer: Alyssa is charged $0.15 for each text message.
Step-by-step explanation: 5-star
factorise
3x^2+22x+7
Answer:
(3x + 1)(x + 7)
Step-by-step explanation:
3x² + 22x + 7 =
3x² must factor into 3x and x.
= (3x + )(x + )
7 factors into 7 and 1. We can place 7 and 1, or 1 and 7.
= (3x + 7)(x + 1)
or
= (3x + 1)(x + 7)
Now we multiply both possibilities out to see which one produces the middle term 22x that we need.
= (3x + 7)(x + 1) = 3x² + 10x + 7 No what we need
or
= (3x + 1)(x + 7) = 3x² + 2x + 7 Exactly what we need
Answer: (3x + 1)(x + 7)
How do you plot a graph given an equation?.
To plot a graph an equation starts by determining the equation's variables. Select the variables' possible ranges of values.
Plot the equation using a graphing calculator or graphing software.
Enter the equation into the graphing calculator if you're using one. Enter the equation in the graphing software if you're using one. Modify the scale and labels of the graph to your specifications.
Draw the points on the graph by inputting the variables' values. Join the points together to create a graph.
All you have to do is change the variables in this formula to graph a linear equation. A linear equation is the simplest form of graph to create because no computations are required before drawing the graph. Draw a simple Cartesian coordinate plane.
Start at the y-intercept to plot the slope. The fraction's numerator is the rise (the number of spaces up), and its denominator is the run (the number of spaces to the side).
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One rule of thumb for estimating crowds is that each person occupies 360 square inchesUse this rule to estimate the crowd size of a section that is 20 feet deep by 20 feet wide of a parade route. HINTthere are 12 inches in one foot
Therefore , the solution of the given problem of surface area comes out to be 160 peoples can be fit in that region.
Surface area is definedIts surface area is a good indicator of how much space it takes up overall. When estimating the surface area of a three-dimensional shape, the entire environment is taken into consideration. Its surface area determines how big something is overall. The sum of the faces on any and all six of a cuboid's rectangular sides yields the amount of water contained within.
Here,
Given : one person occupies 360 square inches
is 2.5 square foot.
So,
The given dimension of region are :
length = 20 feet and width 20 feet.
Thus,
=> Area = 20*20
=> Area = 400 square foot.
So , number of people in that area will be :
=> 400/2.5
=> 160 peoples.
Therefore , the solution of the given problem of surface area comes out to be 160 peoples can be fit in that region.
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Is an example of distributive law *?.
Yes, 3 * ( 5 - 2 ) = ( 3 * 5 ) - ( 3 * 2 ) is an example of distributive law.
The distributive property is also known as the distributive law of multiplication over addition and subtraction. The name itself implies that the operation involves dividing or distributing something. The distributive law applies to addition and subtraction. The formula for the distributive property is expressed as:
Over addition : a( b + c ) = ab + ac
and subtraction : a( b - c) = ab - ac
Example: Solve the expression 7(20 + 3)
Multiplication of 7(20) and 7(3) is done before addition. This leads to 7(20) + 7(3) = 140 + 21 = 161.We have, an expression 3×(5 - 2) =(3 × 5 ) - (3× 2 ).
Consider the left hand side, 3×(5 - 2)
=> 3× 5 - 3× 2 = 15 - 6 = 9
Now, the right hand side, (3 × 5 ) - (3× 2 ) => 15 - 6 = 9 = LHS
Hence, it is an example of distributive law.
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Complete question:
Is 3 * ( 5 - 2 ) = ( 3 * 5 ) - ( 3 * 2 ) an example of distributive law *?.
Solve for x.
z = 6 π x y
This is to help others and myself who are stuck here!
Reward: Brainiest
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Rudy learned to sing a total of 14 pieces over the course of 7 weeks of voice lessons. After 10 weeks of voice lessons, how many pieces will Rudy be able to sing, in total? Solve using unit rates.
the answer should be 35 songs in total
What are the three graphs of linear equation?.
The graphing of linear functions can be done in three basic ways. Plotting points and then drawing a line through them is the first method. The second method makes use of the slope and y-intercept.
Transformations of the identity function f(x)=x f (x) = x are the third option.
There is a single solution, an infinite number of solutions, and there is no solution in an equational system. The number of solutions to a system can be determined algebraically and graphically.
Which three kinds of linear equations exist?Linear equations can take one of three main forms: the standard form, the point-slope form, and the slope-intercept form.
What exactly are linear equation graphs?The term "linear" refers to the graph of a linear equation with two variables. Plotting these two points and drawing the line that connects them are (x1,y1) and (x2,y2).
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