A 30% percentage of the total price was taken off the TV.
What is the percentage?By dividing the value by the total value and multiplying the result by 100, one can determine the percentage. The percentage calculation formula is (value/total value)100%. A percentage is a number or ratio expressed as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" is also used, the percent sign, "%," is frequently used to indicate it. A percentage is a number without dimensions and without a standard measurement.So, the percentage is taken off from TV:
$1,420 - $994 = $426
Formula: (original price - decreased price)/original price × 100
Now, substitute values as follows:
(1420 - 994)/1420 × 100994/1420 × 1000.7 × 10070%Now, 100% - 70% = 30%
Therefore, a 30% percentage of the total price was taken off the TV.
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Write the equation of a line given the following information:26) The line has a slope =and passes through (8.-1)27) TH
Answer:
The equation of the line is;
[tex]y=-\frac{3}{4}x+5[/tex]Explanation:
Given that the line has a slope of;
[tex]m=-\frac{3}{4}[/tex]And passes through the point;
[tex](8,-1)[/tex]Applying the point-slope equation of straight line;
[tex]y-y_1=m(x-x_1)[/tex]substituting the given values and solving;
[tex]\begin{gathered} y-(-1)=-\frac{3}{4}(x-8) \\ y+1=-\frac{3}{4}x-\frac{3}{4}(-8) \\ y+1=-\frac{3}{4}x+6 \\ y=-\frac{3}{4}x+6-1 \\ y=-\frac{3}{4}x+5 \end{gathered}[/tex]Therefore, the equation of the line is;
[tex]y=-\frac{3}{4}x+5[/tex]14. Consider this system of equations.y = -2x2 + 9y = 4x + 3What values of x are solutions to the system of equations?A.x = -9 and x = 7B.x= -7 and x = 9C.x = -3 and x = 1D.x = -1 and x = 3
SOLUTION:
Step 1:
In this question, we are given the following:
Consider this system of equations:
[tex]\begin{gathered} y=-2x^2\text{ +9} \\ y\text{ = 4x + 3} \end{gathered}[/tex]Step 2:
The details of the solution are as follows:
CONCLUSION:
The values of x that are the solutions to the system of equations are:
[tex]x\text{ =- 3 and x = 1 -- OPTION C}[/tex]
Select all that appear in the DOMAIN {(-8,-12),(4,-8), (2, -10),(-10.-16) -16 -12 -10 -8 -2-4
We know the domain is the set of all x when is represented by ordered pairs: (x, y)
In this case {(-8,-12),(4,-8), (2, -10),(-10.-16) } we can observe that there are four x (the first number of each pair):
Domain = { -8, 4, 2, -10}
Domain = {-10, -8, 2, 4}6th grade math, Please Help) 2 people pls answer so i can make brainliest! and you will get 20 points :)
Evaluate the Algebraic expression; j+2h= when f=6, g=8, h=12, j=2
OA) 14
OB)18
OC)26
OD)30
Answer:
the answer is 26
Step-by-step explanation:
j+2h
(2) + 2(12)
2 + 24
26
POSSIBLE POINTS
Write and solve the given inequality: twice the difference of three times a number and five is at most the sum of four times a number and six.
O [8,00)
O (8,00)
O(-0,8)
O(-0,8]
The inequality is 2(3x - 5) ≤ (4x + 6) and the solution of the inequality is (-0, 8]
Let the number be x,
Twice the difference of three times a number and five = 2(3x - 5)
The sum of four times a number and six is (4x + 6)
2(3x - 5) ≤ (4x + 6)
6x - 10 ≤ 4x + 6
6x - 4x ≤ 6 + 10
2x ≤ 16
x ≤ 8
x can be any positive number less than or equal to 8.
Therefore, the inequality is 2(3x - 5) ≤ (4x + 6) and the solution of the inequality is (-0, 8]
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I need this answered please
If they meet in 2 hr the rate of the slower car is 86.
What is rate?
rate is the ratio between two of related quantities in the different units. If the denominator of the ratio is expressed as of a single unit of one of those quantities.
Sol- as per the given question
{d =380
{t=2
Substitute {d=380 formula
{t=2
d=v×t
380=2v
=2(18+2x)=380
Apply the distributive property
36+4x=380
Rearrange variables to the left side of the equation
4x=380-36
4x=344
Divided both side of the equation by the coefficient of variable
X=344/4
By cross out the common factor we get
X=86
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Please tell me what is 1,359 divided by 45 is ??
What is the area of the rectangle with verticals at A(-4,0), B(-3,1) C(0,-2) and D(-1,-3)? Use the distance formula to find the length of segment AB (the base), and Segment BC (the height) Hint A=bh
The area of the rectangle would be 4.90 units which is shown in the given graph.
What is the area of rectangle?The area of a rectangle is defined as the product of the length and width.
The rectangle is given which has:
verticals at A(-4,0), B(-3,1) C(0,-2) and D(-1,-3)
The length of segment AB = √ (-3 - (-4))² + (1 - 0)² = √ (1 + 1) = √2
The length of segment BC = √ (-3 - 0)² + (1 - (-2))² = √ (9 + 3) = √12
The area of the rectangle = length of segment AB x length of segment BC
The area of the rectangle = √2 x √12
The area of the rectangle = √24
The area of the rectangle = 4.90 units
Thus, the area of the rectangle would be 4.90 units
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X - 2 = 3.5 A: 1.5 B: 5.5 C: 5 1/2 D: 5 3/6
To solve this expression we have to add 2 to both sides of the equation:
[tex]x-2+2=3.5+2[/tex][tex]x=5.5[/tex]So, the correct option is: B: 5.5
Given the points:
(5,2) and (3,-4)
Select the THREE equations that represent the line that passes
through them.
The equations of the line according to the given points will be:
3x - y - 13 = 06x - 2y - 26 = 012x - 4y - 52 = 0We know that,
The equation of a line passing through two points is:
( y -y 1) / ( x - x1 ) = ( y2 - y1 ) / ( x2 - x1 )
(y - 2) / (x - 5) = (-4 - 2) / (3 - 5)
=> (y - 2) / (x - 5) = -6 / -2
=> y - 2 = 3 (x - 5)
=> 3x - 15 - y + 2 = 0
=> 3x - y - 13 = 0
Some more equations of the same line can be calculated just by multiplying the coefficients of x and y so that they remain proportional to the previous equation.
For Example,
6x - 2y - 26 = 012x - 4y - 52 = 0Here we can see that the coefficients of x and y and also the constant term are proportional to every equation compared with each other.
These lines are also called coincident lines.
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What is the area of a triangle whose vertices are J(−2, 1), K(0, 3), and L(4, −1)?
Enter your answer in the box.
Based on the vertices of the triangle, the area of the triangle can be found to be 8 cm²
How to find the area of the triangle?First, find the lengths of JK, KL, and JL. When given vertices, you can find the length of a line by the formula:
= √ ( (x₂ - x₁)² + (y₂ - y₁)²)
The length of JK is therefore 2.83 units
The length of KL is therefore 5.66 units
The length of JL is therefore 6.32 units.
Given these units, the area of the triangle can be found by the formula:
= √ s(s - a) ( s - b) ( s - c)
Where:
s = semi perimeter
a, b, and c are the sides of the triangle which are JK, KL, and JL.
The semi-perimeter can be found by the formula:
= ( a + c + c) / 2
= 15.47 / 2
= 7.74
The area of the triangle is therefore:
= √ s(s - a) ( s - b) ( s - c)
= √ 7.74 (7.74 - 2.83) ( 7.74 - 5.66) ( 7.74 - 6.32)
= 8 cm²
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10. Eleanor spent 40% of her money on a $130 outfit. How much money
did she have left?
Answer:
$195
Step-by-step explanation:
40% represents £130
40% : $130
100% : total
To find total:
($130 / 40) x 100 = $325 is the total
If $130 spent:
$325 - $130 = $195 is the amount left
Question 1
Write the equation of the line that is parallel to the x-axis and contains point (2, 7).
PARALLEL LINES HAVE EQUAL GRADIENTS
THE GRADIENT IN THE X-AXIS IS EQUAL TO 0 SINCE THE THE Y VALUE FOR ANY X VALUES IS 0
[tex]m = \frac{0 - 0}{x2 - x1} \\ m = 0[/tex]
This just means that the gradient for the line parallel to the given line is 0
I will use the technique of the General equation of a straight line. y=mx+c
[tex]7 = (0)(2) + c \\ c = 7[/tex]
THE EQUATION IS
[tex]y = 7[/tex]
ATTACHED IS THE SOLUTION.
Data were collected on the distance a baseball will travel when hit by a baseball bat at a certain speed. The speed, s, is measured in miles per hour, and distance, y, is measured in yards. The line of fit is given by ŷ = 3.98 + 53.59s. If the ball travels for a duration of 5 seconds, what is the predicted distance of the ball?
The predicted distance of the ball would be 27.1.93 yards when the ball travels for a duration of 5 seconds.
What is the velocity?Velocity is defined as the displacement of the object in a given amount of time and is referred to as velocity.
The distance, y, is measured in yards and the speed, s, is measured in miles per hour.
The regression line is defined as ŷ = 3.98 + 53.59s ... (i)
The slope and y-intercept of the regression line must be determined.
The general equation for a linear regression line is y = a + bx...(ii), where x is a variable. The variable is indicated by s in the above equation.
When I and (ii) are compared, we obtain a = 3.98 and b = 53.59.
It indicates that the slope is 53.59 and the y-intercept is 3.98.
The slope, b = 53.59, implies that for every mile per hour of speed, the distance rises by 53.59 yards.
The ball travels for a duration of 5 seconds
Substitute the value of s = 5 in equation (i) to get
ŷ = 3.98 + 53.59(5)
ŷ = 271.93
Thus, the predicted distance of the ball would be 27.1.93 yards.
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Answer:
271.93
Step-by-step explanation:
So my grades keep going down
Whats the best way to study
Answer:
Step-by-step explanation:
study
The janitor at a school discovered a leak in a pipe. The janitor found that it was leaking at a rate of 14 fl oz per hour. How fast was the pipe leaking in gallons per day? 2 SEE ANSWERS
Since there are 128 fluid ounces in one gallon, we need to divide 14 by 128 to change ounces into gallons.
Since there are 60 minutes per hour, we need to multiply 14 by 60 to change per minute into per hour.
Combining these: 14 fl oz / min x (1 gal / 128 fl oz) x (60 min / hr) = 6.5625 gal per hour.
Written as a mixed fraction: 6 9/16 gal per hour.
The table shows the cumulative number of minutes Alice practices clarinet for the first part of the school year:Which is the most appropriate choice of origin and scale for this graph?
The most appropriate choices of origin and scale for the graph are given as follows:
Origin: x = 0, y = 0.Scale: x with a scale of 1, y with a scale of 100.Most appropriate scaleThe most appropriate scale one of a graph is one that permits the reader to visualize the data and noting the differences in the data.
In the context of this problem, the values of x from the table increase 1 by 1, hence a large scale would not give the reader a chance to visualize the data, hence a scale of 1 should be used.
The values of y, otherwise, range from 300 to 1200, meaning that a small scale would be bad for the readability of the graph, and thus a scale of 100 should be used for the values of y, giving the readers a chance to visualize the differences between 300 and 1200.
The origin of the graph should be the point (0,0), as both x and y assume only positive values, hence only the first quadrant is needed to plot the graph.
Missing information
The table is missing and is given by the graph at the end of the answer.
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Express the equation y=x^2+8x+25 in the form y=a(x-h)^2+ka. y=a(x-h)^2+kb. y=(x+4)^2+9c. y=(x-4)^2-9d.y=(x-4)^2+9
ANSWER :
The answer is B. y = (x + 4)^2 + 9
EXPLANATION :
From the problem, we have :
[tex]y=x^2+8x+25[/tex]Group the terms in which the constant term and the terms with variables are separated.
[tex]y=(x^2+8x)+(25)[/tex]add and subtract a variable m to the parenthesis to maintain equivalency.
[tex]y=(x^2+8x+m)+(25-m)[/tex]Calculate the value of m using b^2/4a^2 with a = 1 and b = 8
[tex]m=\frac{b^2}{4a^2}=\frac{8^2}{4(1^2)}=16[/tex]Then :
[tex]\begin{gathered} y=(x^2+8x+16)+(25-16) \\ y=(x^2+8x+16)+(9) \end{gathered}[/tex]The first parenthesis will be a perfect square trinomial.
Factor and simplify :
[tex]\begin{gathered} y=(x^2+8x+16)+9 \\ y=(x+4)^2+9 \end{gathered}[/tex]6. a) The mass of eight apples is 1 200 g. What is the average mass of one apple in kilograms? b) A5 kg bag of apples costs R65. What is the cost of 500 grams of apples? Approximately how many apples will have a mass of 1 kilogram?
a. The average mass of one apple in kilograms is 150g.
b. The cost of 500 grams of apples is R6.5
How to calculate the values?A. When the mass of eight apples is 1 200g, the average mass of one apple in kilograms will be:
= Total mass / Number of Apple
= 1200g / 8
= 150g
B. A 5 kg bag of apples costs R65. The cost per kg will be:
= Amount / Number of g
= R65 / 5000
= R0.013
The cost for 500 grams will be:
= 500 × R0.013
= R6.50
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Inequalities in Two Triangles.
[?] < x < [ ]
I will mark the answer as brainliest, thanks!
The inequality of the two triangle are 32° < x < 68° and the range of the value x is defined as x ≥ 4.
Inequality:
Inequality means the relationship between two values that are not equal is defined by inequalities which means they are not equal.
Given,
Here we have the two triangles with some angle values.
Now, we need to find the inequality of these triangle.
To find the inequality of the triangle first we have to write down the values provided, they are,
77, 11x - 33, 68°, 32°
Through this we have identified that, the value of x is lies in between 68° and 32°.
So, it ca be written as,
32° < x < 68°
The next this is to use the triangle inequality theorem, that is,
"The sum of any two sides of a triangle is greater than or equal to the third side; in symbols, a + b ≥ c."
Therefore, based on the given equation we have written it as,
11x - 33 ≥ 77
Subtract 33 on both sides then we get,
11x ≥ 44
Therefore, x ≥ 4.
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Alexa buys an oil painting online for $941.20. If shipping and handling are an additional 20% of the price, how much shipping and handling will Alexa pay?
Nick was thinking of a number. Nick adds 11 then divides by 11 to get an answer of 28. Form an equation with
x
from the information.
Answer:
??
Step-by-step explanation:
The value of a new car after 2 years was $11,200. When the car is 6 years old, the value has dropped to $6100.
Find the rate at which the value of the car is depreciating
And
write an equation that models the depreciation of the value of the car
And
How much will the car be worth when it is 8 years old?
The equation of the car can be given as and the price of the car after 8 years is $4445.
What is an exponential function?
A function of the form [tex]a^{x}[/tex] is known as exponential function. In short the function which has an exponent is known as exponential function.
We are given that the value of a new car after 2 years was $11,200. When the car is 6 years old, the value has dropped to $6100.
Let the original price of the car be [tex]P_{0}[/tex]
After two years the price of the car is $11200
Mathematically it can be given as
[tex]11200= P_{0}e^{2x}[/tex]
After 6 years the price of the car is $6100
Mathematically it can be given as
[tex]6100=P_{0}e^{6x}[/tex]
Dividing both equations we get,
[tex]1.83=e^{-4x}[/tex]
Which can also be written as
[tex]e^{4x}=0.54[/tex]
on solving we get,
x=-0.154
Hence the rate at which price of the car is dropping is
[tex]P=P_{0}e^{-0.154t}[/tex]
No we have to find the original price of the car
To do so we substitute t=2 in the equation
we get
11200=[tex]P_0e^{-0.308}[/tex]
On solving we get,
15240=[tex]P_0[/tex]
Now we find the price of the car after 8 years
P=15240·[tex]e^{-1.232}[/tex]
On simplifying we get
P=$4445
Hence the price of the car after 8 years will be $4445
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I need help with this geometry question !! Pls help
The values of variable x are x₁ = 16, x₂ = - 4.
The measure of angle R is 60°.
The lengths of side RS are RS₁ = 256 and RS₂ = 16.
The lengths of side RT are RT₁ = 256 and RT₂ = 16.
How to find the variables associated to a given triangle
In this problem we need to find the values of four variables related to a triangle, which is seen in the picture, indicating an equilateral triangle. The solution of this question must be done by using definitions and theorems from Euclidean geometry:
Value of variable x
According to Euclidean geometry, the measures of the three sides in an equilateral triangle are the same. Then, the variable x can be found by solving the following equation:
RT = RS
x² = 12 · x + 64
x² - 12 · x - 64 = 0
(x - 16) · (x + 4) = 0
There are two possible solutions:
x₁ = 16, x₂ = - 4
Measure of the angle R
Equilateral triangles have three internal angles of 60°. Therefore, m ∠ R = 60°.
Length of side RS
There are two options:
RS₁ = 16²
RS₁ = 256
RS₂ = (- 4)²
RS₂ = 16
Length of side RT
There are two options:
RT₁ = 12 · 16 + 64
RT₁ = 256
RT₂ = 12 · (- 4) + 64
RT₂ = 16
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help pls it's so hard (that's what she said) but fr
If we draw a vertical line and it crosses the figure more than once, then it is not a function.
So, the only graph that a vertical line will intersect the line once is graph A:
B, C and D are intersected more than 1 time, so they are not functions.
Answer: A
a manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 411 gram setting. based on a 19 bag sample where the mean is 437 grams and the varicance is 441, is there sufficent evidence at the 0.025 level that the bags are underfilled?
Using the Hypothesis testing and statistic Z- test we , find that the bag sample is not underfilled at a significance level of 0.025 i.e., 25% .
In the given question, we shall check the bag is underfilled at given level or not .
We can use the hypothesis testing, The Null and Alternative hypothesis are given as below :
H₀ : u = 411 : the bags are not underfilled
Hₜ : u < 411 : the bags are underfilled
Check it now using statistic Z-test and the test Statistic formula is given by
= ( M – u ) / S.D / √n , where M = mean of sample and S.D = standard deviations n is the number of bags used .
From given data we get, n= 19 ; M = 437 ; S.D = √ variance = √ 441 = 21
Including all of the above variables in formula
Z = (437-411)/21/√19
= 26/21/√19
= 5.395
This is right -tail test in statistic Z -test
P- value = 1 – 0.9999 = 0.111 ( by using Z-table or P-value for Z in Excel )
The sufficient evidence level is 0.025 i.e., alpha (α) = 0.025
P- value >α , this implies that Null hypothesis is not Rejected .
There is sufficient evidence to suggest that bag is not underfilled.
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3. Use your answer from #2 for x, and find the measure of both angles. Select 2 answers.
A
B
116
61°
64°
119⁰
2x-15
3x + 5
None of the available possibilities is an equivalent expression.
Supplemental methods add up to 180 degrees, just like all other options.
An equivalent expression is what?If two expressions function the same way while having different looks, they are said to be comparable. Two identical algebraic expressions have the same value when the same value(s) for the variable are entered (s).
No one in the available possibilities satisfies the requirement of a comparable expression.
2x - 15 + 3x + 15 = 180
2x - 10 + 3x = 180
5x - 10 = 180
5x - 10 + 10 = 180 +10
add the numbers
5x = 190
5x /5 = 190 5
x = 38
As a result, none of the possibilities shown are identical expressions.
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[x-6] +4 =10 solve for X
Answer:
x=12
Step-by-step explanation:
(x-6)=6
x=12
If cos∠E = sin∠F and m∠E = 26°, what is m∠F?
Step 1
Given;
[tex]\begin{gathered} cosE=sinF \\ measure\text{ of angle E=26}^o \end{gathered}[/tex]Required; To find the measure of angle F
Step 2
[tex]\begin{gathered} cos26=sinF \\ \sin\left(90^{\circ\:}-26^{\circ\:}\right)=cos26 \end{gathered}[/tex][tex]\begin{gathered} \sin\lparen F)=\sin\left(90^{\circ\:}-26^{\circ\:}\right) \\ sin(F)=sin(64) \end{gathered}[/tex]Answer;
[tex]m\angle F=64[/tex]Find the equilibrium concentrations of a and b for a=2 and b=2 . assume that the initial concentration of a is 1.0 moll−1 and that no b is present at the beginning of the reaction.
The concentration of A 0.29M and Concentration B 0.755M that the initial concentration of a is 1.0 moll−1 and that no b is present at the beginning of the reaction.
a A (g)⇔ b B (g) k =2.4
when a= 1 and b= 1
A⇔B
initial 1 0
concentration
change -x +x
equilibrium 1-x x
concentration
so, k = [tex]\frac{B}{A}[/tex] = [tex]\frac{x}{1-x}[/tex]= 2.4
x = 2.4 (1-x)
x = [tex]\frac{2.4}{3.4}[/tex] = =0.755
The equilibrium concentration are
concentration of A = 1-x = 1- 0.755 = 0.29M
Concentration B = x = 0.755M
What is initial concentration?The first measured the concentration of the compound in the substance.
The best way to determine the rate constant k for a first-order half-life is to determine the half-life using experimental data. This is because the first-order half-life is independent of the initial concentration of its initial value. So based on the above relationship, the half-life of a first-order reaction does not depend on the initial concentration.
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