Answer: A
Step-by-step explanation:
What is the sum of -4 1/2 and 10 1/3 show work plz
Answer:
5 5/6
Step-by-step explanation:
Change the mixed numbers to improper fractions, and you get -9/2 + 31/3, which adds up to 35/6, then divide 35 by 6, which changes it back to a mixed number, 5 5/6.
The quotient of a number and 3 minus two is at least -12.
Step-by-step explanation:
The problem would translate to this:
\(\frac{x}{3} -2 \geq -12\)
Then add 2 to both sides.
\(\frac{x}{3}\geq -10\)
Then multiply both sides by 3.
\(x\geq -30\)
Select all lengths that are equal to 3 yards 16 inches.
The lengths equal to 3 yards 16 inches are 3 yards, 108 inches, 3.44 yards (approximately), and 108.44 inches (approximately).
To determine the lengths that are equal to 3 yards 16 inches, we need to convert the measurements into a consistent unit. Since both yards and inches are units of length, we can convert the inches into yards or the yards into inches to find the equivalent lengths.
1 yard is equal to 36 inches (since 1 yard = 3 feet and 1 foot = 12 inches).
Therefore, 3 yards is equal to 3 * 36 = 108 inches.
Now, we can compare 108 inches to 3 yards 16 inches.
108 inches is equal to 3 yards, so it matches the given length.
To convert 16 inches into yards, we divide it by 36 since 1 yard = 36 inches. 16 inches / 36 = 0.44 yards.
Therefore, 3 yards 16 inches is equivalent to:
3 yards
108 inches
3 yards 0.44 yards (or approximately 3.44 yards)
108 inches 0.44 yards (or approximately 108.44 inches)
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Write an equation of the line through (-4,0) and (6,-1). Write the equation in standard form.
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
\((\stackrel{x_1}{-4}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{(-4)}}} \implies \cfrac{-1 -0}{6 +4} \implies \cfrac{ -1 }{ 10 } \implies - \cfrac{1 }{ 10}\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{- \cfrac{1 }{ 10}}(x-\stackrel{x_1}{(-4)}) \implies y -0 = - \cfrac{1 }{ 10} ( x +4) \\\\\\ y=- \cfrac{1 }{ 10}(x+4)\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{10}}{10(y)=10\left( - \cfrac{1 }{ 10} ( x +4) \right)}\implies 10y=-(x+4) \\\\\\ 10y=-x-4\implies {\Large \begin{array}{llll} x+10y=-4 \end{array}}\)
4 +2y+m how many terms?
Answer:
2
Step-by-step explanation:
The equation has 2 terms in it which means 2 is the answer.
Consider this expression.
|m2 + n2|
When m = -5 and n=
3, the value of the expression is
Answer:
34
Step-by-step explanation:
Given the expression |m^2+n^2|
Substitute the value of m and n
|m^2 + n^2| = |(-5)^2+3^2|
= |25+9|
= ||34|
Hence the value of the expression is 34
Select the correct answer. In which direction must the graph of f(x) = x be shifted to produce the graph oSelect the correct answer.
In which direction must the graph of f(x) = x be shifted to produce the graph of g(x) = f(x) - 4?
A.
left and down
B.
right and up
C.
down
D.
upf g(x) = f(x) - 4? A. left and down B. right and up C. down D. up
Answer:
A. down
Step-by-step explanation:
The parent graph is
f(x)=x
If this graph is transformed to obtain
g(x)=f(x)−4
The subtracttion means the graph will shift downward vertically
The graph of g(x) is obtained by shifting f(x) down by 4 unit.
Therefore the direction is down.
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A machine can blow up 20 balloons in 4 min.
How many balloons can it blow up in 60 min?
Answer:
120
Step-by-step explanation:
all you have to do is multiply 20*60
Answer:
The machine can blow up 300 balloons in 60 min.
Step-by-step explanation:
60 ÷ 4 = 15. 15 x 20 = 300. We know it takes 4 minutes to blow up 20 balloons. 4 minutes is only 1/15 of 60, so that means you have to blow up 20 balloons 15 times, which will take 60 minutes, and in that 60 minutes, you blew up 300 balloons.
Hope it helps!
Please help me with 15 & 16. Step by Step!!!!
15. The length of a rectangle is four times its width. If its width is x^5 units, what is the area of the rectangle?
16. The width of a rectangular prism is six times its length. The height is five times its length. If its length is m units, what is the volume of the prism?
Answer:
15. 4x¹⁰
16. 30m³
Step-by-step explanation:
15. Area of Rectangle is given by A=LW
since W=x⁵ and L is 4 times W, L=4x⁵
therefore, A = x⁵(4x⁵) = 4x¹⁰
16. Volume of Rectangular Prism is V=LWH
W=6L=6m and H=5L=5m and L=m
so V = m(6m)(5m) = 30m³
This is a long problem and I dont understand it much ? Can you help?
In this problem
we have a vertical parabola open upward
the vertex represents a minimum
looking at the graph
the vertex is the point (2,-4)
so
The function is increasing at the interval (2, infinity)
The function is decreasing at the interval (-infinity,2)
Which of the following point-slope form equations could be produced with the points (4, -5) and (-4, -3)?
Answer:
\(y + 5 =- \frac{1}{4} (x-4)\)
Step-by-step explanation:
You will find the slope-intercept form first, and then you can find the point slope form of the equation
Find the area of the figure. Round to the nearest tenth, if necessary.
The solution is the area of the figure is 53.17.
What is area of trapezoid?The area of a trapezoid is found using the formula, A = ½ (a + b) h,
where 'a' and 'b' are the bases (parallel sides) and 'h' is the height .
here, we have,
from the given figure we get,
a = 10,
b = 6
h = 8
so, A = 64
again, the cut triangle is a equilateral triangle with side = 5
then, area of triangle = √3/4 * 5^2
= 10.82
so, required area = 53.17
Hence, The solution is the area of the figure is 53.17.
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Please help me
Simplify -2(8d-2w)=
A car drove 249.48 miles on 12.6 gallons of gas. How far could the car drive on a full tank of 14.8 gallons of gas? Drag and drop a number to correctly complete the statement. Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. The car could drive Response area miles on a full tank of gas. I REAALY NEED HEEEEELP PLEASE HELP ME I WILL GIVE FIVE STARS AND HEART TO WHOEVER ANSWERS IT!!!!!!!!!!!!!!!!!!!!!!!!!
The car could drive approximately 293.04 miles on a full tank of gas. Drag and drop the number "293.04" into the response area to complete the statement.
What is Algebraic expression ?
An algebraic expression is a mathematical phrase that contains variables, numbers, and mathematical operations such as addition, subtraction, multiplication, and division. Algebraic expressions are used to represent mathematical relationships and can be used to solve equations and perform calculations.
We can use the given information to find the car's fuel efficiency in miles per gallon (mpg) as follows:
mpg = miles driven / gallons of gas used
mpg = 249.48 miles / 12.6 gallons
mpg ≈ 19.8
This means that the car can travel approximately 19.8 miles on one gallon of gas. To find out how far the car could drive on a full tank of 14.8 gallons of gas, we can multiply the tank capacity by the car's fuel efficiency:
miles on full tank = mpg * gallons in full tank
miles on full tank = 19.8 mpg * 14.8 gallons
miles on full tank ≈ 293.04 miles
Therefore, the car could drive approximately 293.04 miles on a full tank of gas. Drag and drop the number "293.04" into the response area to complete the statement.
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Use the formula to find the total sum for the interior angles for a polygon with 7 sides.
Answer:
Sum = 900°
Step-by-step explanation:
Sum of interior angles = 180·(n-2),
where n is the number of sides the polygon has
Sum = 180·(7-2)
Sum = 180·5
Sum = 900°
In the given figure, JM=2, KL=5, and MN=10.
When using x to represent the length of JK, the products of the secant pieces create a quadratic equation. Write the quadratic equation that must be self to find JK. What is the length of JK? Explain your reasoning.
The length of JK which is extended from chord KL is approximately 7.75 units.
To find the length of JK and write the quadratic equation, let's analyze the given information:
In the given figure, we have JM = 2, KL = 5, and MN = 10. Let x represent the length of JK.
From this information, we can observe that JK can be split into two segments: JM + MN and KL. Therefore, we can write the equation:
(JM + MN) * KL = x²
Substituting the given values:
(2 + 10) * 5 = x²
12 * 5 = x²
60 = x²
So, the quadratic equation that must be solved to find the length of JK is x² = 60.
To find the length of JK, we need to take the square root of both sides of the equation:
x = √60
Simplifying the square root of 60 gives:
x ≈ 7.75
Therefore, the length of JK is approximately 7.75 units.
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100 Points. Algebra question, photo attached. Graph the function. Describe its key characteristics. Thank you!
Answer:
Domain = (-∞, ∞) Range = (-∞, ∞)
End Behavior: As X -> -∞, Y -> -∞ | As X -> ∞, Y -> ∞
Inflection Point: (2,0)
Step-by-step explanation:
HELP PLEASE FOR 35 POINTS!!!! Solve the rational equation 3 divided by x equals quantity 4 times x plus 3 divided by x squared, and check for extraneous solutions.
Answer:
\(x=-3\)
Step-by-step explanation:
So, we are given:
\(\frac{3}{x}=\frac{4x+3}{x^2}\)
First, we should immediately rule out 0 as an answer. This is because the if \(x=0\), the equation would be undefined.
\(x\neq 0\)
Now, cross multiply.
\(3(x^2)=x(4x+3)\)
\(3x^2=4x^2+3x\)
Divide everything by x (and we can do this safely because we already know x cannot be equal to zero).
\(3x=4x+3\)
\(-x=3\)
\(x=-3\)
We didn't run into any possibilities for extraneous solutions.
6 - 8x = 6x - 9x + 11
6-8x=-3x+11
-8x+3x=11-6
-5x=5
x=-1
The first step is to isolate the variable, then you solve. Hope this helps, brainliest if you can.
Answer:
hi
Step-by-step explanation:
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The members of the city cultural center have decided to put on a play once a night for a week. Their auditorium holds people. By selling tickets, the members would like to raise $ every night to cover all expenses. Let d represent the number of adult tickets sold at $. Let s represent the number of student tickets sold at $ each. If all seats are filled for a performance, how many of each type of ticket must have been sold for the members to raise exactly $? At one performance there were times as many student tickets sold as adult tickets. If there were tickets sold at that performance, how much below the goal of $ did ticket sales fall?
Answer:
a) At $3,300 for 600 seats, the average price per seat is 3300/600 = $5.50. The mix of tickets that results in that average can be found using an X diagram as shown below. The numbers on the right are the differences along the diagonals. When they are multiplied by 2, they add to 600. This shows that the required sales for revenue of $3,300 are
200 adult tickets
400 student tickets
b) When 3 student tickets are sold for each adult ticket, the average seat price is
(3*$4.50 +7.50)/4 = $5.25
Then the shortfall in revenue is ...
$3,300 -480*$5.25 = $780
Match each function with the correct translation of the parent function f(x) = x.
160=1x1-4
f(x) = (x+4)
fx)=p+4
0
00
vertical translation down 4 units
horizontal translation right 4 units
horizontal translation left 4 units
vertical translation up 4 units
It is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in
the graph intersecting the x- or y-axis at a different point.
Function is an operation that takes an input, performs some processing on it, and returns a result. It is a set of instructions that performs a specific task. Functions are typically used to perform repetitive tasks, like finding the sum of two numbers, adding two strings together, or finding the maximum of a list of numbers. Functions are essential to programming and can be used to make code more organized, reusable, and efficient.
The function f(x) = x is the parent function for linear equations. This equation is generally used to graph a line with a slope of 1 and a y-intercept of (0, 0). In order to translate this parent function, different transformations are applied to it.
A vertical translation down 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function down 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, -4).
A horizontal translation right 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function right 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (4, 0).
A horizontal translation left 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function left 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (-4, 0).
Finally, a vertical translation up 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function up 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, 4).
In conclusion, it is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in the graph intersecting the x- or y-axis at a different point.
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Solve each of the following equations and show how you checked your answers 2y+4y=6-3y
Answer:
y=2/3
Step-by-step explanation:
2y+4y=6-3y
⇔ 2y+4y+3y=6
⇔ 9y=6
⇔ y=6/9=2/3
The answer is:
y = 2/3
Work/explanation:
For now, I focus on the left side and combine the like terms:
\(\bf{2y+4y=6-3y}\)
\(\bf{6y=6-3y}\)
Add 3y to each side
\(\bf{6y+3y=6}\)
Combine like terms
\(\bf{9y=6}\)
Divide each side by 9
\(\bf{y=\dfrac{6}{9}}\)
\(\bf{y=\dfrac{2}{3}}\)
Hence, the answer is 2/3.
17. 17. The scores for a math test are shown below, ordered from smallest to largest. 60 61 62 63 63 64 64 65 66 66 66 69 72 72 72 74 75 80 82 84 86 86 87 87 89 89 90 93 94 98 Fill out the stem and leaf plot below for this data. Enter the leaves separated by commas (ex: 1,1,2,3). Stems Leaves
Answer:
Filling the values we have;
Explanation:
Given the data on the given table, we want to fill them in a stem leaves plot.
The tens values would be in the stems while the unit values will be written in their corresponding leaves.
Filling the values we have;
If I get payed $1.00 an hour, how much would I make for 10 minutes of work
Answer:
$0.10
Step-by-step explanation:
two angles are supplementary and one angle is 18° greater than the other. find measure of the angles.
one is x
the other is x+18
they add to 180
so x+x+18=180
2x=162
x=81 degrees
x+18=99 degrees
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Find the sum -82 + (-14)
Ms. Keenan is a high school teacher who wants to know how much time students spend studying each day. She finds that the average student spends 3.00 hours a day studying (s - 0.75). Assuming that studying hours is normally distributed, what percentage of students study less than 2.50 hours a day?
© 25.14 percent
© 19.15 percent
© 10.93 percent
© 24.86 percent
The requried, percentage of students who study less than 2.50 hours a day is approximately 25.14 percent.
What is the Z -a score?A Z-score is stated as the fractional model of data point to the mean using standard deviations.
We need to convert 2.50 hours to a standard score (z-score) using the formula,
z = (x - μ) / σ
where x is the value we want to convert, μ is the mean, and σ is the standard deviation.
z = (2.50 - 3.00) / 0.75
z = -0.67
This means that 2.50 hours is 0.67 standard deviations below the mean.
We can use a standard normal distribution table or a calculator to find the percentage of the distribution that falls below this standard score. For example, using a standard normal distribution table, we can look up the area to the left of z = -0.67 and get:
P(z < -0.67) = 0.2514
So the correct answer is (a) 25.14 percent.
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solve simultaneously 2x - y = - 10 and 3x + 2y = - 1
The solution to the system of equations is x = -3 and y = -4.
To solve the system of equations:
Equation 1: 2x - y = -10
Equation 2: 3x + 2y = -1
We can use the method of substitution or elimination to find the values of x and y.
Let's use the method of elimination:
Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:
2(2x - y) = 2(-10)
4x - 2y = -20
Now, we can eliminate y by adding Equation 2 and the modified Equation 1:
(3x + 2y) + (4x - 2y) = -1 + (-20)
7x = -21
x = -3
Substitute the value of x into Equation 1 to solve for y:
2(-3) - y = -10
-6 - y = -10
y = -10 + 6
y = -4
Therefore, the solution to the system of equations is x = -3 and y = -4.
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The equation that represents ⨀A is (x+1)2+(y−1)2=16. Determine whether point B(3,1) is on the circle.
Answer:
Step-by-step explanation:
center=(-1,1)
radius=√16=4
distance between (-1,1) and (3,1)=√[(3+1)²+(1-1)²]=√[16+0]=√16=4=radius
Hence point lies on the circle.
The measure of a base angle of an isosceles tri-
angle is 13 more than 3 times the measure of the
vertex angle. How many degrees are in the vertex
angle?
The vertex angle of the isosceles triangle is 22°.
What is isosceles triangle?
A triangle with two equal sides is said to be isosceles. Also equal are the two angles that face the two equal sides. In other terms, an isosceles triangle is a triangle with two sides that are the same length.
We know that an isosceles triangle is composed of a vertex angle and two base angles. The base angles are congruent to each other. We also know that the sum of a triangle's angles is 180degrees.
Base angle = 3vertex angle+13.
=> 2base angle + vertex angle = 180°
=> 2(3 vertex angle +13)+vertex angle = 180°
=> 6 vertex angle+26+vertex angle = 180
=> 7 vertex angle = 180-26
=> 7 vertex angle = 154
=> vertex angle = 154/7 = 22°.
Hence the vertex angle of the isosceles triangle is 22°.
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