Answer:
[A] x < 2
Step-by-step explanation:
Given:
x - 6 < - 4
Solve:
Add 6 to both sides
Which shown below:
x - 6 < - 4
+ 6 +6
-----------------
x < 2
Hence, the answer is [A] x < 2
Kavinsky
A car cover a distance 300 miter in 50 second How much distance a car covers in 1 second
Divide total distance by total seconds:
300 meters / 50 seconds = 6 meters per second.
Answer: 6 meters
Find the location of G, the midpoint of FH.
The coordinate of G is (3,6.5).
What is Section Formula?
When a point on a line segment divides it into two segments, the formula used to determine the coordinates of that point is known as the section formula.
The Coordinate of F is (1, 7)
The Coordinate of H is (5,6)
Since G is the midpoint. So, it divides the line FH in 1:1 part
Let coordinates of G be (x, y)
Now using Section Formula,
[tex]x= \frac{1*1+1*5}{2} \;\;\; and \;y= \frac{1*7+1*6}{2}[/tex]
x= 3 and y = 6.5
Hence the coordinate of G is (3,6.5)
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A baker is making cakes for a big party. She uses 1/4 cup of oil for each cake. How many cakes can she make if she has a bottle of oil that has 6 cups in it? PRITTY PLEASE HELP!!! NOW (ASAP)
Answer:
24 Cups
Step-by-step explanation:
you just need to divide 6 by 1/4, whihc equals 24/1
A frame contains 4 pounds of gold. Suppose gold is worth $1277 per ounce. How much would the gold in the frame be worth?
Answer:
81728
Step-by-step explanation:
1 libra tiene 16onz, entonces 16 onz* 1277 dolares =20432*4=81728
Billy purchased $100$ shirts at a cost of $\$15$ each and planned to resell them. The first week he sold some of them for $\$25$ each. The second week he sold the rest for $\$20$ each. If his total profit was $\$600$, how many shirts did he sell the first week?
Answer:
Let the number of shirts he sold the first week = x and the number sold the second week = 100 - x
So we have
[Sales] - [Cost] = Profit
[25x + 20(100 - x)] - [15 * 100] = 600 simplify
25x + 2000 - 20x - 1500 = 600
5x + 500 = 600 subtract 500 from both sides
5x = 100 divide both sides by 5
x = 20 = the number of shirts sold the first week
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
Let x = number of shirts sold in Week 1
Let y = number of shirts sold in Week 2
Profit = Selling price - cost price
If Billy purchased the shirts at a cost of $15 each, then
Week 1: Profit per shirt = $25 - $15 = $10Week 2: Profit per shirt = $20 - $15 = $5Equation 1
Total of 100 shirts purchased:
⇒ x + y = 100
Equation 2
Total profit of $600:
⇒ 10x + 5y = 600
Rewrite Equation 1 to make y the subject:
⇒ y = 100 - x
Substitute this into Equation 2 and solve for x:
⇒ 10x + 5(100 - x) = 600
⇒ 10x + 500 - 5x = 600
⇒ 10x - 5x + 500 = 600
⇒ 5x + 500 = 600
⇒ 5x = 600 - 500
⇒ 5x = 100
⇒ x = 100 ÷ 5
⇒ x = 20
Therefore, Billy sold 20 shirts in his first week.
What is the next step to solve the equation 5y 3x15 for y?
Answer:y will be 45 then Multiply 45x3 which equals 135. Then add 135+62 and get your awnser.
Step-by-step explanation:
For the equations given below, which statement is true?
-3x-8+19
-3x-2=25
A. The equations have the same solution because the second equation can be obtained by subtracting 6 from both sides of the first equation.
B. The equations do not have the same solution because the second equation can be obtained by adding 6 to both sides of the first equation.
C. The equations have the same solution because the second equation can be obtained by subtracting 19 from both sides of the first equation.
D. The equations have the same solution because the second equation can be obtained by adding 6 to both sides of the first equation.
If the equations are the same then the solution will be the same. Then the correct option is D.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The linear equations are given below.
-3x - 8 = 19 ...1
-3x - 2 = 25 ...2
Adding 6 on both sides in equation 1, then we have
-3x + 6 - 8 = 19 + 6
-3x - 2 = 25
The equations have the same solution because the second equation can be obtained by adding 6 to both sides of the first equation.
If the equations are the same then the solution will be the same.
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!!!!HELPPPP!!!! if cos theta = - square root 3 over 2 and pi < theta < 3 pi over 2, what are the values of sin theta and tan theta?
will mark Brainliest for correct answers .
i’m in a final pls help
Answer:
Option 4
Step-by-step explanation:
In Quadrant IV,
tan = +vecos = -vesin = -veIf cosθ = -√3/2, then :
sinθ = -1/2tanθ = √3/3Pls answer
100 points!
what is the effect on the graph of the function f(x)= x^2 when f(x) is changed to f( x - 6)
Shifted up
shifted left
shifted right
shifted down
Find shift
f(x-6)
(x-6)²So
f(x)=x²x is decreased 6 units
So
The graph will shift 6 units right
Graph attached
Answer:
shifted right
Step-by-step explanation:
Translations
For [tex]a > 0[/tex]
[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
Parent function: [tex]f(x)=x^2[/tex]
Translated 6 units to the right: [tex]f(x-6)=(x-6)^2[/tex]
Matthew had to make a bridge for his math class. It had to be at least 1 1/2 feet long. Harold made a bridge that was 2 1/3 times as long as Matthew’s. What equation would you use to find out how long Harold’s bridge is? please help
The equation used for finding the length of Harold's bridge will be [tex]3H-7M=0[/tex] and Length will be H = [tex]\dfrac{7}{2}[/tex]
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Here we have the following data:-
Matthew's bridge length is [tex]=1\dfrac{1}{2}=\dfrac{3}{2}[/tex]
Now we have that Harold made a bridge that was 2 1/3 times as long as Matthew’s. From this data the equation will be:-
[tex]H=2\dfrac{1}{3}M\\\\\\H-\dfrac{7}{3}=0\\\\\\3H-7M=0\\\\\\3H-\dfrac{(7\times 3)}{2}=0\\\\\\H=\dfrac{7}{2}[/tex]
Hence the equation used for finding the length of Harold's bridge will be [tex]3H-7M=0[/tex] and Length will be H = [tex]\dfrac{7}{2}[/tex]
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Find the value of sin E rounded to the nearest hundredth, if necessary.
Answer:
Step-by-step explanation:
using sin formula
[tex]\frac{sin~E}{15} =\frac{sin ~90}{39} \\sin ~E=15 \times ~\frac{1}{39} =\frac{5}{13}[/tex]
John plots the point with the polar coordinates (3,5π6).
How does he plot this point?
Drag a value or phrase into each box to correctly complete the statements.
John first determines which line the angle of rotation places the point on. This line tells John that the point must lie in if r is positive or Response area if r is negative.
The radius of 3 tells John that the point lies on the third circle of the polar plane. The value of r is positive. Therefore, the point will lie Response area the angle of rotation.
This line tells John that the point must lie in Quadrant 1 if r is positive or Quadrant 2 if r is negative. Therefore, the point will lie Quadrant 3 or 4 the angle of rotation.
How to find Polar Coordinates?
Step 1; John will start plotting the point by first of all seeing the sign of the radius and the value of the given angle.
Step 2; John will make a circle of the given radius, and plot the point at an angle given as a coordinate on the circle.
If r is positive, then the point will lie in Quadrant 1 or 2. However, If r is negative, then the point will lie in Quadrant 3 or 4.
In case r is positive, the point will lie in the same quadrant as the angle of rotation.
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Solve the radical equation.
X+4=√x+10
What is the extraneous solution to the radical equation?
O The solution -1 is an extraneous solution.
O Both -1 and -6 are true solutions.
O The solution -6 is an extraneous solution.
O Neither -1 nor -6 is a true solution to the equation.
The answer is c
Step-by-step explanation:
that kind of wording is always misleading.
please give my regards and comments to your teacher.
a square root has ALWAYS 2 solutions : a positive AND a negative one.
in that sense the negative solution to a square root is NOT an extraneous solution.
only any value of x < -10 (to make the argument of the square root negative) as solution would be extraneous.
so, if your teacher wants to say that only the positive solutions of a square root are allowed, it has to be said as an extra definition or by applying the "+" sign to the square root.
so,
x + 4 = sqrt(x + 10)
since the 2 solutions are already given to us, we only need to use them in the equation and see what happens.
x = -1
-1 + 4 = sqrt(-1 + 10)
3 = sqrt(9) = 3 (actually, it is ±3)
so, x = -1 is a real solution.
x = -6
-6 + 4 = sqrt(-6 + 10)
-2 = sqrt(4) = 2 (actually, it is ±2)
so, based on your teacher's expectation of only positive results of the square root (even though it was not stated),
x = -6 is an extraneous solution.
therefore, the third answer (c) is the "correct" answer.
but actually, formally, the second answer (b) is the truly correct answer.
i need help with 7th grade math please 45 points need help ASAP + brainleist
Answer:
Area = 601.8760801 ft^2
Step-by-step explanation:
Area of Rectangle: Area = Length* Height
Area of a Semi-Circle = π*r^2 /2
Area of Rectangle: Area = 14 * 21 = 294 ft^2
Area of a Semi-Circle = π * 14^2 / 2 = π * 196/2 = π * 98 ft^2
Add the Two Area: 294 ft^2 + 98π ft^2 = 601.8760801 ft^2
Answer:
77.98 ft
Step-by-step explanation:
Perimeter :
2(21) + 14 + 3.14 x 742 + 14 + 21.9856 + 21.9877.98 ftHow do you do this?
Answer:
you will have to get a protractor and angle side right
Every variable has a coefficient. That’s the number it is multiplied by. According to mathematical convention, coefficients always go in front of their variable. If there is no number in front of a variable in an expression, the coefficient is 1 since the product of any number and 1 is that number. In expressions, operations can be applied directly to a variable. Here are some examples: What is the coefficient of the variable in the expression ½ + v - 3?
Answer:
1
Step-by-step explanation:
Answer:
There is only 1 variable and it is v.
There is no coefficient.
That means the coefficient is 1.
The coefficient of the variable in the expression ½ + v - 3 is [tex]\frac{1}{2}[/tex]
What is the coefficientIn mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression (including variables such as a, b, and c). When the coefficients are themselves variables, they may also be called parameters.
Given that,
[tex]\frac{1}{2}[/tex] is the coefficient
[tex]v[/tex] is the variable
[tex]3[/tex] is the constant
Therefore, The coefficient of the variable in the expression ½ + v - 3 is [tex]\frac{1}{2}[/tex]
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A quadrilateral with vertices at A(4,-4), B(4, -16), C(12, -16), and D(12, -4) has been dilated with a center at the
origin. The image of D, point D', has coordinates (36, -12). What is the scale factor of the dilation?
1/9
1/3
3
9
Using translation concepts, it is found that the scale factor of the dilation is of 3.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, considering point D and it's image, the following translation happened:
(12, -4) -> (36, -12).
In general terms, we have that:
(x,y) -> (3x, 3y).
Hence the scale factor is of 3.
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a cubic function has the following properties
f'(1)=0
f'(3)=0 = f(3)=0
f(0) =0
f'(2)>0
Draw a rough sketch of f
Ammaar put 4/7 of the money he earned raking leaves in the bank. He spent 1/3 of the money on a book.
Create an expression with common denominators that can be used to find the difference between the fraction of money Ammaar put in the bank and the fraction he spent on the book
Answer for grade 6 pls
The expression that can be use to find the difference between the fraction of money Amar put in the bank and the fraction he spent on the book is 4 / 7 x - 1 / 3 x
How to create an expression?Amar put 4/7 of the money he earned raking leaves in the bank. Therefore,
let the money she earned = x
Hence,
amount put in bank = 4 / 7 x
She spent 1 / 3 of the money on books. Therefore,
money spent on books = 1 / 3 x
Therefore, the expression that can be use to find the difference between the fraction of money Amar put in the bank and the fraction he spent on the book is as follow:
4 / 7 x - 1 / 3 x
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Use mathematical induction to prove that, for n ≥ 1, n³ – n is divisible by 3.
Answer:
Step-by-step explanation:
x–23=17 solving the following equation
Answer:
X=42
Step-by-step explanation: x-23=17 you would do the inverse of subtracting which would be addition which would be 23+17 which equals 42
The product of two consecutive positive even numbers is 960. What are the numbers?
Shreya has 40 pairs of shoes stacked inboxes.
If a pair is 2 shoes, how many shoes does Shreya have?
Answer:
it's either 20 or 80..
Answer:
80 shoes
Step-by-step explanation:
40×2
find the answer of given photo
The skewness of the plot is positive skewness, and the equation of the regression line is y = -0.052x + 2.706
The mean, standard deviation, min, max, etc.To do this, we make use of the following data values
15, 16, 16, 17, 17, 17, 20, 22, 22, 30
The mean is calculated using:
Mean = Sum/Count
So, we have:
Mean = (15+ 16+ 16+ 17+ 17+ 17+ 20+ 22+ 22+30)/10
Evaluate
Mean = 19.2
Using a graphing calculator, we have:
Standard Deviation, σ = 4.30
The min and the max are:
Min = 15
Max = 30
See attachment for the histogram.
From the attached histogram, we can see that the skewness of the plot is positive skewness
The percentage area between min and max expenses.The min and the max values are the range of the normal plot.
So, the percentage area between these values is 100%
Inspect three samplesLet the three samples be
16, 17, and 30
The sample mean is:
Mean = Sum/Count
So, we have:
Mean = (16 + 17 + 30)/3
Evaluate
Mean = 21
The sample mean is different from the population mean
Since the means are not equal, then we fail to accept the Null hypothesis.
The correlation coefficientTo do this, we make use of a graphing calculator with the following calculation summary:
X Values
∑ = 120Mean = 20∑(X - Mx)2 = SSx = 154Y Values
∑ = 10Mean = 1.667∑(Y - My)2 = SSy = 3.333X and Y Combined
N = 6∑(X - Mx)(Y - My) = -8R Calculation
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
r = -8 / √((154)(3.333)) = -0.3531
The correlation coefficient -0.3531 means that there is a negative correlation between the data values
The equation of the Regression lineTo do this, we make use of a graphing calculator with the following calculation summary:
b = SP/SSX = -8/154 = -0.05195a = MY - bMX = 1.67 - (-0.05*20) = 2.70563So, we have:
y = -0.052x + 2.706
Hence, the equation of the regression line is y = -0.052x + 2.706
See attachment 2 for the scatter plot.
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a classmate states that if the radius of a circle is doubled, then its area is doubled. do you agree or disagree? if you disagree, how much larger do you think the area will be?
Answer:
yes
the area of a circle is πr^2
A=πr^2
which means the area of a circle is dependent on the size of the radius of the circle.
Take for instance, the radius is 3cm and π= 3.142
A = 3.142×(3^2)
A = 28.278cm^2
Another example, if the radius of the circle is increased to 4cm, what will be the area.
A = 3.142×(4^2)
A = 50.272cm^2
Given that A, O & B lie on a straight line segment, evaluate obtuse ∠AOC.
The diagram is not drawn to scale.
∠AOC=
Answer:
AOC = 124°
Step-by-step explanation:
Angle on a straight line is 180°, therefore, the sum of the three angles shown is 180;
This can be written like so:
(3x + 94) + (x + 30) + (2x - 4) = 180
This equation can be solved to find x:
6x + 120 = 180
6x = 180 - 120
6x = 60
x = 10
AOC = 3(10) + 94
= 30 + 94
= 124
Answer:
angle AOC = 124
Step-by-step explanation:
3x + 94 + x + 30 + 2x - 4 = 180 ( ^'s on a STR line)
6x = 180 - 120
6x = 60
x = 10
sub x into 3x + 94
3(10) + 94 = 124
find the value of x. Cos(67°) = x/1
Answer:
The value of cos 67° is equal to the x- cordinate ( 0.3907 ). therefore, cos 67° = 0.3907
37/16 as a decimal rounded to the nearest tenth
Answer:
2.3
CAN I GET BRAINLIEST PLEASE
Step-by-step explanation:
Answer:
2.3.Step-by-step explanation:
We know that:
the fraction is 37/16What we DON'T know is:
the decimal of 37/16.Solve for the decimal:
37/16= 2.3 (Can't find my explanation).Answer is 2.3.
Given the following equation, what is the slope of the linear function?
Answer:
2/3
Step-by-step explanation:
The slope sits next to the x in the slope-intercept equation, y=mx+b. Slope is the m. In the equation in the problem y=2/3x-2.
The slope is 2/3.
r= 8.4 in
Calculate the diameter of the
circle.
Answer:
The diameter is 16.8
Step-by-step explanation:
The diameter is double the radius.
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[tex]\diamond\large\blue\textsf{\textbf{\underline{Question:-}}}[/tex]
r=8.4 in. What is the circle's diameter?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
Since the radius is exactly one-half of the diameter, we multiply the radius times 2 in order to find the diameter, which results in:-
d(diameter)=16.8 in
Good luck with your studies.-- - - - - - - - - - - - -- -- - - - - - - - - - - -- - -
