Answer:
4.2
Step-By-Step explanation:
12.5+1.5=14
14 times 3= 42
42/10= 4.2
You buy 3.19 pounds of apples, 1.45 pounds of peaches, and 2.31 pounds of pears. What is your total bill?
Answer:
$6,95
Step-by-step explanation:
3,19
1,45
2,31 +
————
6,95
pls help will mark brainliest
The value of n for a line that passes through point A(n, 4) and point B(6, 8) and is parallel to y = 2x - 5 is 6.
What is a parallel line?No matter how far we extend a parallel line, it will always remain straight. Take a look at the parallel lines in the following illustration. Lines "p" and "q" are parallel to each other as are lines "a" and "b."
We know that parallel lines have same slope, so the slope of y = 2x - 5 is 2 according the y intercept form, y = mx + b
Now using the point-slope form we will find the line parallel to Point B (6, 8)
y − y₁ = m(x − x₁)
Put m as 2, y₁ as 8 and x₁ as 6, and we wil get
y − 8 = 2(x −6)
y = 2x − 4 or
2 = (y + 4)/x (slope)
We will us point-slope form for point A(n, 4) too
y − 4 = 2(x −n)
y = 2x − 2n + 8 or
2 = (y - 8 + 2n)/x
As slope 2 is same in both points it means their equations are same too
(y + 4)/x = (y - 8 + 2n)/x
Lest solve for n
(y + 4)/x = (y - 8 + 2n)/x
y + 4 = y - 8 + 2n
4 = - 8 + 2n
4 + 8 = 2n
2n = 12
n = 12/2
n = 6
Thus, the value of n for a line that passes through point A(n, 4) and point B(6, 8) and is parallel to y = 2x - 5 is 6.
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Which expression is equivalent to (2.1)5 (0.9)?
The equivalent expression is 9.45
How to find the equivalent expression?
Calculating the product,
(21.)5 (0.9) = 10.5 *0.9
= 9.45
Other equivalent expressions are:
[tex]\frac{189}{20} \text{ and } 9 \frac{9}{20}[/tex]
What is a product?
In mathematics, a product is the outcome of multiplication or an expression that specifies the elements, or objects that can be numbers or variables, that are to be multiplied. The commutative law of multiplication states that the result is unaffected by the order of multiplying real or complex numbers. A number that is obtained by multiplying two or more other numbers together is known as the product .Multiplication in other algebras in general, as well as matrix multiplication as an example, is non-commutative.To learn more about products, refer:
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a = 86.4 rounded to 1 DP b = 2.81 rounded to 2 DP Find the maximum of a - b
83.59 is the solution of linear equation a- b .
What are examples of linear equations?
Ax+By=C represents a two-variable linear equation in its standard form. A standard form linear equation is, for instance, 2x+3y=5. It is rather simple to locate both intercepts when an equation is stated in this way (x and y).The expression on the left is known as a linear expression because it can be used to solve the equation y = 2x+4 with two variables, which has a graph that is in a straight line. Thus, we refer to 2x+4 as a linear equation (or, later, a linear function).a = 86.4
b = 2.81
So,
Substitute = 86.4 - 2.81
Calculate the sum or difference = 83.59
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A set of data is represented in the stem plot below.
Part A: Find the mean of the data. Show each step of work. Round answer to the nearest whole number. (2 points)
Part B: Find the median of the data. Show each step of work. (2 point)
Part C: Find the mode of the data. Show each step of work. (2 point)
Part D: Compare your values for mean, median, and mode from parts A, B, and C. Explain which value would best represent the data, and why? (4 points)
A. Mean = 71
B. Median = 75
C. Mode = 0
D. Mean is used to represent data, because mean measures central tendency.
What is mean , median and mode?From the given stem we have to write a data set ,
Data set = 35, 42, 43, 51, 55, 57, 62, 66, 68, 69, 74, 75, 76, 77, 78, 79 , 82, 84, 86, 88, 93, 94, 101
Mean = average
= sum of all numbers / total number of values .
= 1635 / 23
= 71.08 = 71
Median = middle term
Total there are 23 terms so middle term is the 12th term .
So median = 75
Mode = Most repeated term or term that has high frequency.
Here no terms are repeating so mode = 0
By comparing mean , median and mode ,
Mean is used to represent data .Because, the mean is the most commonly used measure of central tendency because it averages all of the values in the data set.
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A recipe book shows measurement conversions for cups to tablespoons. It shows that 0.5 cup equals 8 tablespoons and 1.5 cups equals 24 tablespoons.
Write an equation that shows the proportional relationship between cups and tablespoons where c represents cups and n represents tablespoons.
n = 0.0625c
c = 0.0625n
n equals 0.5 over 8 times c
c equals 8 over 0.5 times n
I have to submit this today pls hurry
AND THANK YOU SO MUCH
An equation that shows the proportional relationship between cups (c) and tablespoons (n) is: B. c = 0.0625n
What is a proportion?A proportion is an equation which is typically used to indicate the equality of two (2) ratios. Therefore, proportions can be used in mathematics to show that two (2) ratios are equivalent and then used to calculate or determine all of the unknown quantities.
Mathematically, a proportional relationship can be represented by the following equation:
y = kx
Where:
y and x represent the variables in a proportional relationship.k is the constant of proportionality.Let the cups be represented by c.
Let the tablespoons be represented by n.
Next, we would determine the constant of proportionality (k) as follows:
c = kn
Making k the subject of formula, we have:
k = c/n
k = 0.5/8 ≡ 1.5/24
k = 0.0625.
Substituting the parameters into the equation for a proportional relationship, we have;
c = kn
c = 0.0625n
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Answer:
C = (8/.5)n
Step-by-step explanation:
.5 = 8
1.5 = 24
C = (8/.5)n
Because
8 divided by .5 = 16
16 * .5 = 8
Ex.2
8 divided by .5 = 16
16 * 1.5 = 24
What is the value of x if 8x=2
Answer:
8x=2
x=2/8
x=1/4
the co efficient of x is 8
to eliminate it
you divide both sides by the co efficient of x
Pls help, What is X equal to?
Answer:
-55
Step-by-step explanation:
An appliance store decreases the price of a 19-in. television set 28% to a sale price of $455.76 What was the original price?
Answer:
$633.00Step-by-step explanation:
Let the initial price be x.
We have:
Decrease rate = 28%,Sale price = $455.76The price has decreased from x by 28% and become $455.76.
Set equation and solve for x:
x - 28% of x = 455.76x - 28x/100 = 455.76x - 0.28x = 455.760.72x = 455.76x = 455.76/0.72x = 633For the following you need to do the following:
a. Name the slope
b. Name the starting value
c. Please draw figure 0, 4, and 5
d. Figure out how many blocks is in figure 100.
The slope, starting, values and number of blocks in the figures, found using arithmetic progression are;
1. Slope= 2
Starting value = 1
Figure 100 has 211 squares
2. Slope = 3
Starting value = ³
Figure 100 has 303 squares
3. Slope = 2
Starting value = 1
Figure 100 has 101 squares
4. Slope = 2•n + 1
Starting value = 1
Figure 100 has 10201 squares
5. Slope = 3
Starting value = 4
Figure 100 has 304 squares
6. Slope = 2
Starting value = 2 squares and 3 triangles
Figure 100 has 200 squares and 3 triangles
What is an arithmetic sequence?An arithmetic sequence is one that is formed by the addition of a constant to the value of a term, to get the value of the next term.
1. The difference between the number of squares in subsequent figure is 5 - 3 = 7 - 5 = 2
Which gives;
The equation that gives the number of blocks in each figure is a linear equation of the form, y = m•x + c
Where;
m = The slope = The rate of change of the number of blocks = 2 more squares each subsequent figure
c = The y–intercept = The number of blocks when the figure is Figure 0 = The number of blocks at the start (The starting value)
Subtracting 2 (the slope) from the number of blocks in Figure 1, gives;
c = The starting value = Number of squares in Figure 0 = 3 - 2 = 1
Figure 0 has one square
Figure 4 has (2 × 4 + 1) blocks = 9 Squares
Figure 5 has (2 × 5 + 1) blocks = 11 Squares
Figure 100 has (2 × 100 + 1) blocks = 201 Blocks
2. Here, the slope, m = The rate of change = 3
The starting value, c = 6 - 3 = 3 = Figure 0
The number of blocks in each of the required figures are;
Figure 0 = 3 Squares
Figure 4 = 3 + 4 × 3 = 15
Figure 5 = 3 × 5 + 3 = 18
Figure 100 has (3 × 100 + 3) squares = 303 Squares
3. The slope, c = 7 - 5 = 5 - 3 = 2
The starting value = 3 - 2 = 1
Figure 0 has 1 block
Figure 4 has (2 × 4 + 1) blocks = 9 squares
Figure 5 has (2 × 5 + 1) blocks = 11 squares
Figure 100 has (2 × 100 + 1) blocks = 101 blocks
4. The number of blocks is (n + 1)²
The number of blocks increases by 2•n + 1
The slope = 2•n + 1
The starting value = 2×0 + 1 = 1
Figure 0 has 1 block
Figure 4 has (4 + 1)² blocks = 25 blocks
Figure 5 has (5 + 1)² blocks = 36 blocks
Figure 100 has (100 + 1)² blocks = 10,201 blocks
5. Slope = 13 - 10 = 10 - 7 = 3
The starting value = 7 - 3 = 4
Figure 0 has 4 block
Figure 4 has (3 × 4 + 4) blocks = 16 blocks
Figure 5 has (3 × 5 + 4) blocks = 19 blocks
Figure 100 has (3 × 100 + 4) blocks = 304 blocks
6. The slope = 2
Starting value = 2 blocks and 3 triangles
Figure 0 has 2 blocks and 3 triangles
Figure 4 has (2 × 4) blocks + 3 triangles = 6 squares + 3 triangles
Figure 5 has 10 blocks and 3 triangles
The figure in question 6 shows only the block part
Figure 100 has (2 × 100 = 200) blocks and 3 triangles
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given the system y=-1/2x-1 and -1/4x+y+4=0 write the solution to the system on the space provided below as an ordered pair
The solution to the system of equations as an ordered pair is (4, -3).
We are given a system of linear equations in two variables. The first equation is y = (-1/2)x-1. The second equation is (-1/4)x+y+4 = 0.
We need to find the solution of the system of equations. We will use the substitution method to solve for the values of "x" and "y".
y = (-1/2)x - 1
(-1/4)x + y + 4 = 0
Substitute the value of "y" from the first equation into the second equation.
(-1/4)x + (-1/2)x - 1 + 4 = 0
(-3/4)x+3 = 0
(3/4)x = 3
x = 4
Substitute the value of "x" back into the first equation to get the value of "y".
y = (-1/2)x - 1
y = (-1/2)4 - 1
y = -2 - 1
y = -3
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Can someone explain powers of imaginary numbers? (like i^2, i^3, i^4, and so on)
The powers of the imaginary number gives:
i² = -1i³ = -ii⁴ = 1i = i⁵i² = i⁶i³ = i⁷i⁴ = i⁸etc...
How the powers of imaginary numbers work?We know that the imaginary number is defined as:
i = √(-1)
If we square it, then we get:
i² = √(-1)² = -1
As the exponent 2 removes the square root.
With the exponent 3 we get:
i³ = √(-1)³ = √(-1)²*√(-1) = -1*i = -i
i³ = -i
Finally, the exponent 4 gives:
i⁴ = i²*i² = (-1)*(-1) = 1
And now the cycle repeats, we will have that:
i = i⁵
i² = i⁶
i³ = i⁷
i⁴ = i⁸
etc...
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Solve for x and y
35x-21y=10
5x-3y=2
Answer:
B. There is no solution
Step-by-step explanation:
35x - 21y = 10
5x - 3y = 2
---------------------
(5x - 3y = 2) × (-7)
= (-35x + 21y = -14)
---------------------------
35x - 21y = 10
-35x + 21y = -14
-------------------------
= (-4)
No Solution
I hope this helps!
The system of equation 35x - 21y =10 and 5x-3y=2 has no solution , Option B is correct.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given system of equation is 35x - 21y =10 and 5x-3y=2
We can use elimination method to solve for x and y.
First, we can multiply the second equation by 7 to get:
35x - 21y = 10
35x - 21y = 14
Next, we can subtract the second equation from the first equation to eliminate the x terms:
35x - 21y - (35x - 21y) = 10 - 14
0 = -4
This is a contradiction, so there is no solution for x and y that satisfies both equations. The system is inconsistent.
Hence, the given system of equation 35x - 21y =10 and 5x-3y=2 has no solution , Option B is correct.
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1/2Hd=d^2 solve for b
The solution of the equation for b is b= 2d²/H
What is subject of formula?This involves taking a variable in an equation to stand alone
Note that this variable is different from the initial isolated variable
How to determine the equation for b?The equation is given as
1/2Hb = d²
Divide both sides of the equation by H
So, we have the following equation
1/2Hb/H = d²/H
Multiply both sides of the equation by 2
So, we have the following equation
2 * 1/2Hb/H = d²/H * 2
Evaluate the quotients and the products
b= 2d²/H
The above computation implies that:
We changed the subject of the formula in the equation 1/2Hb = d² from d² to b
This implies that solving for b is a concept of subject of formula
Hence, the solution is b= 2d²/H
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Please solve with work shown.
264 cm² is surface area .
What is surface area and example?.
The quantity of space enclosing a three-dimensional shape's exterior is its surface area.The total space occupied by a 3D object's faces is known as its surface area.The surface area of a cube is its surface area, for instance, if we are trying to determine how much paint is needed to paint it. It is consistently expressed in square units.Surface area of triangle = 1/2 * 8 * 16
= 4 * 16 ⇒ 64 cm²
area of rectangle = l * b
= 10 * 20
= 200 cm²
total surface area = Surface area of triangle + area of rectangle
= 64 + 200
= 264 cm²
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Part 2 - Find the error(s) and solve the problem correctly.
Simplify:
[tex](x^\frac{3}{5} )^\frac{7}{5}[/tex]
Answer:
[tex](x^\frac{3}{5} )^\frac{7}{5} = (x^\frac{10}{5} )=x^2[/tex]
The simplified expression is as follows;
[tex](x^{\frac{3}{5} } )^{\frac{7}{5} } = x^{\frac{21}{25} }[/tex]The error was made because you didn't multiply the powers.
How to simplify an expression?The expression can be simplified as follows;
[tex](x^{\frac{3}{5} } )^{\frac{7}{5} }[/tex]
Using the law of indices,
If a base variable is raised to a number (y) and the entire number raised to power (x), then it is equal to the base number raised to the multiplication of the two exponents (x × y) i.e.
Hence,
[tex](A^{x} )^{y} = A^{xy}[/tex]
Therefore, let's apply the rule,
[tex](x^{\frac{3}{5} } )^{\frac{7}{5} } = x^{\frac{3}{5}.\frac{7}{5} }[/tex]
Hence,
[tex](x^{\frac{3}{5} } )^{\frac{7}{5} } = x^{\frac{3}{5}.\frac{7}{5} } = x^{\frac{21}{25} }[/tex]
Therefore, using the law of indices,
[tex](x^{\frac{3}{5} } )^{\frac{7}{5} } = x^{\frac{21}{25} }[/tex]
The error was that he did not multiply the exponents.
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What is the difference of a number s and 6
An expression is
.
Answer:
s-6
both of them are elements
but s is a letter while 6 is a number so these can not subtract each other because they are different values
Please help I need it by tonight
Using mathematical operations we can conclude that the area of the given figure is 40 units².
What are mathematical operations?An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands. A mathematical action is called an operation. Mathematical operations include addition, subtraction, multiplication, division, and finding the root.So, the area of the figure:
Where x = 4, so the expression will become:
x² + x² + x + xNow, do the mathematical operations to get the area of the figure as follows:
x² + x² + x + x4² + 4² + 4 + 416 + 16 + 840'
Therefore, using mathematical operations we can conclude that the area of the given figure is 40 units².
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If f (x) = 2x2 + 3 and g(x) = *2 - 7, find (f + g)(x).
Answer:
Answer is (f + g)(x) = 3x^2 - 4
Step-by-step explanation:
3 m.: 60 cm. =.........
The ratio is 5:1
What is a ratio?
An ordered pair of numbers a and b, written as a / b where b does not equal 0 is known as Ratio.
We are given
the ratio of 3m : 60cm
We known that 1m =100cm
Therefore 3m= 300cm
We have to find the ratio of 300 cm : 60cm
[tex]\frac{300}{60}=\frac{5}{1}[/tex]
On simplifying we get 5:1
Hence the ratio becomes 5:1
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Solve the following a)give the solution in calculator ready form (the exact value of x) and b)approximate the solution to the nearest hundredth.8. 3^2x - 12 * 3^x -28 =0
Given the following exponential equation:
[tex]3^{2x}^{}-12\cdot3^x-28=0[/tex]Note: the given equation is a quadratic equation
Let u = 3ˣ
So, the equation will be:
[tex]\begin{gathered} u^2-12u-28=0 \\ \text{factor}\rightarrow(u-14)(u+2)=0 \\ u-14=0\rightarrow u=14 \\ u+2=0\rightarrow u=-2 \end{gathered}[/tex]so,
[tex]\begin{gathered} 3^x=14 \\ or,3^x=-2 \end{gathered}[/tex]The negative result will be rejected because the range of the exponential function is greater than zero
So, the exact value of x will be as follows:
[tex]x=\frac{\log 14}{\log 3}[/tex]The approximate solution using the calculator will be:
x = 2.40
Orenda opened a savings account with $4500 that earns 0.6% simple interest annually. After how many years will the balance of
the account be $4635? Round to the nearest tenth, if necessary.
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$4635\\ P=\textit{original amount deposited}\dotfill & \$4500\\ r=rate\to 0.6\%\to \frac{0.6}{100}\dotfill &0.006\\ t=years \end{cases} \\\\\\ 4635=4500[1+(0.006)(t)]\implies \cfrac{4635}{4500}=1+0.006t\implies \cfrac{103}{100}=1+0.006t \\\\\\ \cfrac{103}{100}-1=0.006t\implies \cfrac{3}{100}=0.006t\implies \cfrac{3}{0.6}=t\implies \boxed{5=t}[/tex]
which one of these constructiond would construct a line of relection that takes the point A to point B
Option D is the constructions that would construct a line of reflection from point A to point B. Make a line parallel to line AB.
A line parallel to line AB will generate a line of reflection that connects points A and B because a parallel line never intersects, resulting in direct imagery of Line AB.
What is a Parallel lines?Parallel lines are two lines in the same plane that are equal distance apart and never intersect. They can be both horizontal and vertical in orientation.
We have,
-Make a perpendicular bisector of segment AB.
A perpendicular bisector does not create a line of reflection that connects points A and B, but rather divides the line AB into two equal parts.
-Draw a line through B that is perpendicular to segment AB.
A perpendicular line through B to segment AB WILL NOT Make a line of reflection from point A to point B.
-Build the line that connects A and B.
A line passing through A and B will NOT create a line of reflection that connects points A and B, but will instead create Line A and B and not its reflection.
Hence,
Make a line parallel to line AB.
A line parallel to line AB will generate a line of reflection that connects points A and B because a parallel line never intersects, resulting in direct imagery of Line AB.
To summarize
Option D is the constructions that would create a line of reflection from point A to point B.
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Please help with this 25 points
Answer:
25 x 13 = 325
Bat = 20
Pumpkin = 5
Witch = 10
Leaf = 50
Ghost = 60
Step-by-step explanation: hope this helps :)
Approximately How many times greater is 1.7 x 10^6 then 3.5 x 10^5?
The low temperatures in degrees Fahrenheit in Marsh ty during aweek in January were:
-3,-5, 3,7-2-2-5
What was the average low temperature for that week?
Answer:
-1
Step-by-step explanation:
To find the mean average, add them all up and divide by the number of values (7):
-3 + -5 + 3 + 7 + -2 + -2 + -5 = -7
-7 / 7 = -1
4 = - 2/3 x whats the answer
hello
[tex]4=-\frac{2}{3}x[/tex]to solve for x, let's cross multiply both sides
[tex]\begin{gathered} 4=-\frac{2}{3}x \\ 4\times3=-2x \\ 12=-2x \end{gathered}[/tex]step 2
divide both sides by -2
[tex]\begin{gathered} 12=-2x \\ \frac{12}{-2}=-\frac{2x}{-2} \\ x=-6 \end{gathered}[/tex]x = - 6
Answer:
x = -6
Step-by-step explanation:
Tommy's weekly pay is directly proportional to the number of hours he works at the movie theater. His pay is $189 for 21 hours. Find the amount of pay for 40 hours of work.
We need to find the amount Tommy is paid per hour. This is simple:
r = 189/21
r = 9
Now, to find the amount he is paid, the equation is as follows:
y = rx
For 40 hours, the equation is:
y = 9(40)
y = 360
Answer:
Step-by-step explanation:
r = 189/21
r = 9
Now, to find the amount he is paid, the equation is as follows:
y = rx
For 40 hours, the equation is:
y = 9(40)
y = 360
How many 5-digit numbers can you form using the digits 8 and 9?
Answer:
88888
88889
88898
....
2^5 = 32
Which of the input-output tables represent a function?
Answer:
Table C
Explanation:
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