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What is the answer to John bought a video game on sale for $35. The original price of the game was 3 times that amount. John also bought video game controllers on sale for $28. The original price of the game controllers are 5 times that amount. Together how much money did the video game and controllers cost before they went on sale?
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Video game: $35
Controller: $28
~~~~~~~~~~~~~~~~~~~~~~~~~
Video game:
35 x 3 = 105
Controller:
28 x 5 = 140
140 + 105 = 245
Total: $245
In an isometric transformation, the preimage and image must not __________. A. change size B. rotate C. preserve angle measures D. reflect across the x axis Please select the best answer from the choices provided A B C D
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Why are two lines with the same y intercept are perpendicular?
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If you want to know why 2 lines are perpendicular or parallel you have to look @ the slope
Perpendicular: The slope is the negative reciprocal of the slope of the original equation (other line slope) what this means it that you flip the numerator and denominator and make it negative (or positive, depending if it's already negative)
Parallel: The slope is the same (see 2nd picture as an EX).
Two lines with the same y-intercept are perpendicular because they are only perpendicular if their slopes are the reciprocals of each other's negative values.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The standard form of the lines are:
y = mx + c
Here m is the slope and c is the y-intercept of the line
mM = -1
The M is the slope of the second line which is perpendicular to the first one.
y = Mx + c (with the same y-intercept)
Thus, two lines with the same y-intercept are perpendicular because they are only perpendicular if their slopes are the reciprocals of each other's negative values.
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A prepaid cell phone charges a preset number of minutes to use text messaging. The graph represents y, the number of minutes used for x, the number of text messages sent and received. Is there a direct variation? Which equation represents the relationship? Yes, y = 2x. Yes, y = 20x. No, y = x + 10. No, y = x + 20.
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Answer:
Yes, y = 2x
Step-by-step explanation:
I took it on edge and got it right!!!
There will be definitely a direct relation and the relation will be y = 2x.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b, will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
Proportion is very useful to set relations between variables.
Given that the prepaid cell phone charges a preset number of minutes to use text messaging. The graph represents y, the number of minutes used for x, and the number of text messages sent and received
so it is clear that cell phone charge upon the number of minutes to use text messaging hence y = 2x will be the correct answer.
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violet chewed 5 times as many pieces of bubble gum in one week as her friend if her friend chewed 12 pieces of bubble gum.how many did violet chew
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so I would say it's 5 (12)=60 so I think Violet chewed chewed 60
and if it was asking how many pieces of bubble gum Violet chewed more than her friend it would be 60-12=48
Violet chewed 60 pieces of bubble gum in one week.
Explanation:To find out how many pieces of bubble gum Violet chewed, we need to multiply the number of pieces that her friend chewed by 5. Her friend chewed 12 pieces of bubble gum, so we can multiply 12 by 5.
12 x 5 = 60
Therefore, Violet chewed 60 pieces of bubble gum in one week.
Frank and Latoya each ran every day as part of an exercise routine. Frank ran
3 miles each day for x days. Latoya ran 5 miles each day for y days.
The total number of miles that Frank ran is at least the total number of miles that Latoya ran. Write an inequality describing this relationship.
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5 miles each day for y days is 5y
Frank ran at least as many miles as Latoya is 3x >/= 5y
What’s the measure of LMF
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LMF = 17x
so 17x + 3x =180
20x = 180
x = 180/20 = 9
17 *9 = 153
angle LMF = 153 degrees
A recipe for a batch of cookies calls for 2 1/3 cups of flour for 24 cookies. Manuel wants to make 72 cookies. How many cups of flour does he need
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What does y=mx+b the m mean?
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What is the least possible integer value for which 40% of that integer is greater than 9.6?
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Tarting at home, Emily traveled uphill to the hardware store for 60 minutes at just 6 mph. She then traveled back home along the same path downhill at a speed of 12mph. What is her average speed for the entire trip from home to the hardware store and back?
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18÷2=9
Emilys average speed is 9mph
Which number sentence best represents this story problem? Carol picks 42 apples. She puts an equal number of apples in each of 6 bags. How many apples are in each bag? A. 42 × 6 = ? B. 42 ÷ 6 = ? C. 42 + 6 = ? D. 42 – 6 = ?
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The correct answer is B. 42 / 6.
This is because we are trying to find the amount of apples per bag and therefore we have to divide the total number of apples by the number of bags.
Hope This Helps You!
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What is the area of The shaded sector of the circle
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1/3 of circle = 81pi / 3 = 27 pi units^2
answer
B. 27 pi units^2
Answer: 27[tex]\pi[/tex] [tex]unit^{2}[/tex]
Step-by-step explanation: area of circle =[tex]\pi r^{2}[/tex]
where r is the radius of circle
here r=9
to find the area of circle we cover an angle of 360° but here we have to cover only 120°=360°÷3
so area of shaded region =area of circle÷3
=[tex]\pi[/tex]×9×9÷3
=27[tex]\pi[/tex] [tex]unit^{2}[/tex]
The vector has components +5 and +7 along the x- and y-axes respectively. along a set of axes rotated 90 degrees counterclockwise relative to the original axes, the vector's components are
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After rotating 90 degrees counterclockwise,
Now, Vector components are +7 in x-axis & +5 in y-axis.
Let the coordinates of the rotated vector be (a,b).
From the Pythagorean theorem,
d = √(5² + 7²) = 8.6023
The angle θ is given by
tan θ = 7/5 = 1.4
θ = tan⁻¹ 1.4 = 54.46°
φ = 180 - (90 + 54.46) = 35.54°
The coordinates of the rotated vector are
a = - d cos φ = - 8.6023*cos(35.54) = 7
b = d sin φ = 8.6023*sin(35.54) = 5
Answer: (-7, 5)
Evaluate 4-(3+2)^2
A. -21
B. -9
C. 5
D. 1
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Suppose your friend says the line y=-2x +3 is perpendicular to the line x+2y=8. Do you agree? Explain.
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y = 2x + 3 has slope of 2 ( because of the '2x')
x + 2y = 8
2y = -x + 8
y = -0.5x - 4
2 * -0.5 = -1 so they are perpendicular
So the friend was right
if -7k=-42, then k=6
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because minus and minus gives you a positive answer you just put 6 instead of -6
Find the 5th term of the expansion of (x + y)9.
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so here we have 9C4 x^(9-4)y^4
= 126x^5y^4 Answer
What is the solution of the equation when solved over the complex numbers?
x^2+24=0
x =
or x =
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[tex] {x}^{2} + 24 = 0 \\ (x - \sqrt{24})(x + \sqrt{24} ) = 0 \\ (x - \sqrt{4} \sqrt{6})(x + \sqrt{4} \sqrt{6}) = 0 [/tex]
[tex](x - 2 \sqrt{6})(x + 2 \sqrt{6} ) = 0 \\ so \: x = 2 \sqrt{6} = 4.899 \: and \\ x = - 2 \sqrt{6} = - 4.899[/tex]
Can someone please explain the concept of Algebra? Just give me some basic tips so I can solve questions like the ones in the picture. Thanks in advance!
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for Example: 4x= 8
x= 8 divide by 4
x= 2
Step 1: isolate the variable (in this case,x).
Isolating the variable makes you narrow down what you are solving for.
Step 2: solve for the variable.
You can solve for the variable by making x alone (meaning with no coefficient).
If you have any questions on how you can do these while it still being mathematically legal, let me know and I will help.
a right rectangular pyramid is shown. the height of the pyramid is 12 units the length are the width are 6 units and 8 units
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Answer:
The answers are 10, 13, and 12.37
Step-by-step explanation:
Given that f(x) = 2x −5, find the value of x that makes f(x) = 15. (5 points)
5
10
20
25
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15 = 2x - 5
Now you must solve like a normal equation:
15 = 2x - 5 )+5
20 = 2*x ):2
10 = x
ANSWER: The value of x is 10
The prime factorization of a number n can be written as n=pr whose p and r are distinct primes. how many factors does n have not including 1.
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The total number of factors for a number 'n' with prime factorization [tex]n = p^r * q^s * ... * z^w[/tex] (where 'p', 'q', ..., 'z' are distinct primes and 'r', 's', ..., 'w' are their respective powers) is equal to (r + 1) * (s + 1) * ... * (w + 1).
When we have the prime factorization of a number, determining its total number of factors is a straightforward process. The number of factors of 'n' can be found by considering the powers of its prime factors.
Let's take an example to illustrate this. Consider the number 'n' with prime factorization:
[tex]n = p^r * q^s * ... * z^w,[/tex]
where 'p', 'q', ..., 'z' are distinct prime numbers, and 'r', 's', ..., 'w' are their respective powers.
To find the total number of factors for 'n', we need to consider all possible combinations of its prime factors. For any factor of 'n', we can choose to include 'p' raised to a power ranging from 0 to 'r', 'q' raised to a power ranging from 0 to 's', and so on, for all the distinct primes.
The total number of factors can be calculated using the formula:
(r + 1) * (s + 1) * ... * (w + 1)
This formula works because for each prime factor 'p', we have 'r + 1' options for its power, and similarly for other prime factors. By multiplying all these options, we get the total number of factors.
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Solving systems of three equations w/ elimination
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Which property justifies this statement?If x=−2, then 5x=−10.
A.Multiplication Property of Equality
B.Transitive Property of Equality
C.Symmetric Property of Equality
D.Subtraction Property of Equality
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Answer:
Correct option is:
A.Multiplication Property of Equality
Step-by-step explanation:
The Multiplication Property of Equality states that if you multiply both sides of an equation by the same number, the sides remain equal (i.e. equality is preserved).
Here, we are given a equality:
x= -2
Now, on multiplying both sides by 5, the equality will be preserved
i.e. 5x= -2×5
i.e. 5x= -10
Hence, Correct option is:
A.Multiplication Property of Equality
The property of equality that justifies the given statement is the Multiplication Property of Equality
The correct option is A.Multiplication Property of Equality
From the question, we have that
If x=−2, then 5x=−10
The property of equality that justifies this statement is the Multiplication Property of Equality.
This is because, when both sides of the first equation is multiplied by 5, the result gives the other equation.
That is,
[tex]5 \times x = -2 \times 5[/tex], yields
5x=−10.
Hence, the property of equality that justifies this statement is the Multiplication Property of Equality
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What is the value of the function at x=−3?
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If so it would be 4
Answer:
correct answer is 4
Step-by-step explanation:
-19.78 is rational or irrational
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Lori sold 3 times as many raffle tickets as tony. lori sold 24 tickets. how many more raffle tickets did lori sell than tony?
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Answer:
Your Answer is C) 16
Step-by-step explanation:
Step 1: Find the number Tony sold.
24 ÷ 3 = 8
Step 2: Find how many more tickets were sold by Lori than Tony.
24 - 8 = 16
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What is a equation of the graph of the equation below translated down 3 units y=-x^2
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going up a negative distance is the same as going down that same distance but positive
so to move y=-x^2 up by -3 units, add -3 to the whole function so we get
[tex]y=-x^2-3[/tex] as the translated equation