On solving the equation 55 + 2.5x = 70, the number of visits Mackenzie must make to earn a free movie ticket is 6.
What is an equation?
A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").
The reward points Mackenzie earns for signing up = 55
The reward points Mackenzie earns for each visit to movie theatre = 2.5
The total reward points Mackenzie needs for a free movie ticket is = 70
Let the number of movie theatre visits be x.
To get a free movie ticket the equation will be -
55 + 2.5x = 70
Combine all the like terms -
2.5x = 70 - 55
2.5x = 15
Apply the arithmetic operation of addition -
x = 15/2.5
x = 6
Therefore, the number of movie theatres visit should be 6.
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HI HELP ME W MATH PLSS!!
Hannah drove her car 318.4km in 4h
a) Calculate her average speed=
b) At this speed, how far can she expect to travel in 5.5 h? =
Answer:
a) 79.6
b) 437.8
Step-by-step explanation:
First, you have to do 318.4/4 to find the rate she goes in the duration of an hour. The rate is 79.6, which means she travels at a rate of 79.6 kilometers per hour.
Then, you have to find the distance she takes to travel in 5.5 hours, so you have to do 5.5*79.6 which is 437.8.
So, Hannah travels 437.8 kilometers in 5.5 hours.
(8x2 + 5x – 9) - (3x2 – 5x + 1) = ?
Answer:
10x
Step-by-step explanation:
find the domain and range
Answer:
B.
Step-by-step explanation:
a study of data compiled from emergency departments reveals that the number of hospital visits for cooking-related knife injuries significantly increases around major holidays. what do the variables examined in the study show?
The variables examined in the study show the number of hospital visits for cooking-related knife injuries and their frequency during major holidays. The data compiled from emergency departments shows that there is a significant increase in the number of hospital visits for such injuries around major holidays.
This suggests that there may be a correlation between the holidays and the use of knives in cooking, possibly due to increased meal preparation and cooking during these times. Other variables that could be examined in further studies include the types of knives and cooking equipment used, the types of foods being prepared, and the demographics of those who sustain these injuries.
Variables refer to any characteristic, quantity, or attribute that can be measured and that can fluctuate or vary. Variables are of two types:
Dependent variablesIndependent variablesAn independent variable is one that is thought to influence the dependent variable, which is the characteristic or response that is being measured.
The variables examined in the study indicate that the number of hospital visits for cooking-related knife injuries increases around major holidays. This implies that there is a direct relationship between cooking and knife injuries on major holidays. As a result, measures must be put in place to reduce the risk of knife injuries during the holidays. This includes the creation of awareness campaigns and the promotion of safety in the kitchen.
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65 points im desparate dont worry about the name i will give brainlest helppppppp
1. Answer the following questions.
Questions
What is an amount between $2 and $10? (A) __________
What is an amount between $10 and $20? (B) __________
What is an amount greater than $50? (C) __________
What is your name? (D) ____________________
What is the name of an item that you will buy only once? (E) ____________________
What is the name of an item that you will buy more than once? (F) ____________________
2. Create a word problem that leads to an inequality by filling in the blanks with your corresponding answers.
Word Problem
(D) ____________________ is going shopping for (E) ____________________ and (F) ____________________. The cost of (E) ____________________ is (B) __________ and the cost of each (F) ____________________ is (A) __________.
If (D) ____________________ can spend at most (C) __________, how many (F) ____________________ can be purchased?
3. Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.
4. Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.
5. Explain what the solution means in the context of the word problem.
Answer:
pt1
A) $8
B) $15
C) $80
D) *insert name; example(mia)
E) unsweetened chocolate
F) milk chocolate
pt2
Mia is going shopping for unsweetened chocolate and milk chocolate. The cost of unsweetened chocolate is $15 and the cost of each milk chocolate is $8. If mia can spend at most $80, how many milk chocolates can be purchased?
pt3
8x+15≤80
sub 15 from 80
8x≤65
divide 8 from 65
x≤8.125
pt4
*look at screenshot
pt5
about 8 milk chocolates can be purchased.
Algebra test can someone please help
Answer:
C) \(24x^3-15x^2-9x\)
Step-by-step explanation:
\(-3x(-8x^2+5x+3)\\=(-3x)(-8x^2)+(-3x)(5x)+(-3x)(3)\\=24x^3-15x^2-9x\)
What is the midpoint of the horizontal line segment graphed below?10(-6,3)(10,3)10A. (2,6)В. (4, 6)ОООC. (2, 3)D. (4, 3)
Therefore,
(-6, 3)(10, 3)
\(\begin{gathered} (x_m,y_m)=(\frac{-6+10}{2},\frac{3+3}{2}) \\ (x_m,y_m)=(\frac{4}{2},\frac{6}{2}) \\ (x_m,y_m)=(2,3) \end{gathered}\)Suppose ∠3 is 105°. List all the angles congruent to∠1
Since ∠1 and ∠3 are vertical angles, they are congruent. Therefore, ∠1 is also 105°.
Angles have the same measure, so if we have information about the relationships between ∠1 and other angles (such as vertical angles, corresponding angles, alternate interior angles, etc.), we can determine the congruent angles.
There are two other angles that are congruent to ∠1. These are:
∠2, since they are alternate interior angles and the lines are parallel. Therefore, ∠2 is also 105°.
∠4, since they are corresponding angles and the lines are parallel. Therefore, ∠4 is also 105°.
So, the list of all angles congruent to ∠1 when ∠3 is 105° is:
∠1 = 105°
∠2 = 105°
∠4 = 105°
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Write the equation of the line in fully simplified slope-intercept form.
11
1998 6543 N
10
2
1
-12-11-10-9-8-7-6-5-4-3-2-11
~
-2
3
-4
-6
-9
-10
-11
-12
1 2 3 4 5 6 7 8 9 10 11 12
Answer:
Step-by-step explanation:
o find the vertex of f(x)=x2−8x+7 , there are several things you can do. You could complete the square to get the equation into vertex ...
help pls need help show your solution and then graph
Answer:
Step-by-step explanation:
We can use the quadratic formula or factor, This looks hard to factor so we should use the quadratic formula.
ax^2 + bx + c
so
a=4
b=-9
c=2
you can try it by hand or use this:
https://www.calculatorsoup.com/calculators/algebra/quadratic-formula-calculator.php
you get x=2 and x=0.25 these are the x intercepts (where Y is zero and where the graph crosses the x axis)
so mark x=2 and x=0.25 with a dot on a number line and you can draw a straight line between them since that is the part of the graph that is below the x axis (because the equation has <0) it is a positive parabola because the "a" value is positive and the presence of a "b" value means part of the graph will be below the x axis
A ladder that is 15m long makes a 54 degree angle with the ground as it leans against a building.
Answer:
sin 54 = x/15
15 sin 54 = x
x = 12.1 m
PLEASE HELP
Benjamin has a ladder that is 15 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 13.8 ft above the ground. What is the angle, rounded to the nearest tenth, that the ladder makes with the ground? Show your work and draw a diagram to support your answer.
The ladder makes an angle of 66.9° with the ground.
A right angled triangle is a triangle (has three sides and three angles) in which one of the angles measure 90°.
Trigonometric ratios is used to show the relationship between the sides of the right angled triangle and its angles.
The ladder is 15 ft long and the wall is 13.8 ft long. Let θ represent the angle that the ladder makes with the ground. Hence:
sinθ = 13.8/15
sinθ = 0.92
θ = 66.9°
Therefore the ladder makes an angle of 66.9° with the ground.
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What is another term that accountants use that means the same as "cost recovery"? 3. Why for every class of asset does the table list one additional year? For example, there are six years listed for 5-year property classes. 4. What are examples of assets that fall into the 5-year class? This and following questions relate to your basic understanding of non-tax depreciation from financial accounting. 5. If you bought an asset for $100 with a 5-year life and no residual value, how much would you depreciate each year under straight-line? 6. If you bought an asset for $100 with a 5-year live with no residual value, how much would you depreciate in years 1 through 5 under double-declining balance. Do not use the tables below. Round to nearest penny, and ensure that total is $100. Year 1 2 5
Another term that accountants use to refer to "cost recovery" is "cost reimbursement."
What is the alternative term for "cost recovery" used by accountants?In accounting, "cost recovery" refers to the process of recouping or recovering the expenses incurred by a company through various means such as sales revenue, reimbursements, or cost allocation.
Another term commonly used to describe this concept is "cost reimbursement." It signifies the reimbursement of costs to the company, ensuring that the expenses are covered and recovered, often through reimbursement agreements with clients or partners.
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A bulletin board has a perimeter of 300 in. Write an equation that expresses the area A(w) of the bulletin board as a function of its width
the width of the bulletin board is -200 in.
Step-by-step explanation:
Let w = the width of the bulletin board
Since the perimeter of the bulletin board is 300 in, we can write the equation:
2w + 2(300 - w) = 300
Simplifying:
2w + 600 - 2w = 300
0 = 300 - 600
-600 = 300
Therefore, the width of the bulletin board is -200 in.
Now that we know the width of the bulletin board, we can express the area A(w) as a function of its width w:
A(w) = w * (-200)
A(w) = -200w
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A main meal in a Japanese restaurant cost 4374 yen. The exchange rate is £1 = 189 yen. What is the cost in pounds?
Answer:
23,21 pounds
Step-by-step explanation:
4387/189 = 23,21
12. SHORT RESPONSE Describe how you can fold a sheet of paper to create two parallel lines that are perpendicular to the same line.
The description of how you can fold a sheet of paper to create two parallel lines that are perpendicular to the same line is as follows,
Take a paper.
Horizontally fold 1/3rd part of it.
Again fold the 1/3rd part of it (Horizontally).
Open the paper, you will find two parallel lines.
Now, fold the paper in half vertically.
Open the paper.
You will find a line that is perpendicular to both parallel lines.
This is how you can fold a sheet of paper to create two parallel lines that are perpendicular to the same line.
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Please helpp!! (30 POINTS)!!!
Answer:
b
Step-by-step explanation:
11+11+10+10=42cm
A cable company uses the formula S = 20,000 (1 + 0.08)y to estimate the number of subscribers, S, that use their service after y years. If there were 20,000 cable television subscribers when the cable company began, what is the meaning of the expression (1 + 0.08)Y?
Options :
A. Every year the number of subscribers is estimated to increase by 8 over the number
of subscribers the year before.
B. Every year the number of subscribers is estimated to increase by 8% of the original
20,000 subscribers
C. Every year the number of subscribers is estimated to increase by 8% over the
number of subscribers the year before.
D. Every year the number of subscribers is estimated to increase by 80% of the
original 20,000 subscribers.
Answer:
C. Every year the number of subscribers is estimated to increase by 8% over the
number of subscribers the year before.
Step-by-step explanation:
Given that:
The formula represents an exponential function :
S = 20,000 (1 + 0.08)^y
General form of an exponential equation :
y(x) = ab^x
Where a = initial value ; b = rate of change ; x = time
Comparing the formula given with the general equation:
a = 20000 = Number of subscribers when company began
b^x = (1 + 0.08)^y = percentage increase in the number of subscribers over y years
what are the three ways that two lines can relate to one another?
They can be parallel (0 common points), can intersect (1 common point) or overlap (infinitely many common points).
Answer:
Check the "explanation" section
Step-by-step explanation:
These are the 3 ways that two lines can relate to one another:
The lines are parallel : \(\parallel\)Parallel means they never intersect. They are at the same distance from one another so they never intercept each other.
The lines are perpendicular : \(\perp\)The intersection of these two lines is at a right angle of 90°.
They become one line.
One line can be two lines. It's just that we can't see the second one since they combined to form one line. And they have an infinite number of common points and x- (or y-) intercepts.
Therefore, these are the ways.
blank _/32 = 7/8 fractions
Answer:
28
Step-by-step explanation:
To begin, lets make an equation out of this problem,
x/32 = 7/8
Then, let's solve for the variable x or AKA the missing value
x/32 x 32 = 7/8 x 32
x = 28
So, there is the answer, the missing value is 28
If you have any questions, please let me know in the comments section of this answer! If you could mark this answer as the brainliest, I would greatly appreciate it!
Answer:
28
Step-by-step explanation:
Put in place of "blank" an exponent, say x:
x/32 = 7/8
Note the equal sign, what you do to one side, you do to the other. First, cross multiply:
(x/32)(32)(8) = (7/8)(8)(32)
8 * x = 7 * 32
Simplify:
8x = 224
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Divide 8 from both sides of the equation:
(8x)/8 = (224)/8
x = 224/8 = 28
28 is your answer.
~
Solve the following math problem using Roman numerals.
VII + X =
XIV
XVII
XV
XX
Answer:
XVII
Step-by-step explanation:
VII + X =
V = 5
I = 1
X = 10
5+1+1 + 10 = 17
XVII
Needz helllllpppppsss plzzzzzzzzzzzz
whats the opposite of the opposite of -10
Answer:
the answer is positive 10
Step-by-step explanation:
Find (f∘g)(3) for the following functions.
f(−6) = 7 and g(3) = −6
The composition \((f∘g)(3)\) of the functions f and g, evaluated at 3, is equal to 7.
In order to find , \((f∘g)(3)\)) we first need to evaluate g(3), which is given as -6. We substitute this value into f(x) to find f(-6). From the given information, we know that f(-6) is equal to 7. Now that we have the value of f(-6), we can conclude that\((f∘g)(3)\) is also equal to 7.
To understand this conceptually, composition of functions means applying one function to the output of another function. In this case, we are applying the function g to the input 3, which gives us -6 as the output. Then, we take this output (-6) and apply the function f to it, resulting in an output of 7. So, \((f∘g)(3)\) can be thought of as starting with 3, applying g to get -6, and then applying f to get the final result of 7.
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Select all of the ordered pairs that are solutions to the system
Answer:
ALL of them
Step-by-step explanation:
They are all inside or on the border of the graphing solution
What is X...……………………….
Answer:
x=6
Step-by-step explanation:
You can reach this answer by doing the equation
4+(x-3) = 2x-5
doing the math you will get that 6 is your x.
Hope this helps :)
What is the slope of the line represented by the equation f(x) = -47
2x 4₂
-4
\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)
\(\qquad \tt \rightarrow \: slope \:\: of \:\: line = \cfrac{3}{2}\)
____________________________________
\( \large \tt Solution \: : \)
The equation of line is written in slope - intercept form
\(\qquad \tt \rightarrow \: f(x) = \dfrac{3}{2} x - 4\)
if we compare it with general slope - intercept equation of line :
\(\qquad \tt \rightarrow \: f(x) = mx + c\)
[ m represents slope of line ]
\(\qquad \tt \rightarrow \: m = \dfrac{3}{2} \)
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Answer:
\(\frac32\)
Step-by-step explanation:
Hello!
An equation of a line is usually written in slope-intercept form.
Slope Intercept Form: \(y = mx + b\)
m = slopeb = y-interceptIf we compare our given equation with the format:
m = \(\frac32\)b = -4This means that \(\frac32\) would be our slope for the line.
Solve for y 8x - 7y = 23
\(8x - 7y = 23 \\ 8x - 23 = 7y \\y = \frac{8}{7} x - \frac{23}{7} \)
The solution of the equation, when it is solved for y, has one variable term x with coefficient 8/7 and one constant term 23/7, 8/7x-23/7.
How to solve an equation for its variable?The solution of an equation is the value of the variable of the equation, for which the equation is satisfied.
To solve an equation for its variable, isolate the variable on one side of the equation using the mathematical operations.
The given expression is,
\(8x - 7y = 23\)
The expression has two variables, x and y. To solve it for y, subtract 8x from both sides,
\(8x - 7y -8x= 23-8x\\-7y=23-8x\)
Divide with number 7 both sides and change the sign of the equation,
\(y=-\left(\dfrac{23-8x}{7}\right)\\y=\dfrac{8x-23}{7}\\y=\dfrac{8}{7}x-\dfrac{23}{7}\)
Thus, the solution of the equation, when it is solved for y, has one variable term x with coefficient 8/7 and one constant term 23/7, 8/7x-23/7.
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Two of Maxwell's equations contain a path integral on the left side and an area integral on the right. The directions of the infinitesimal path element ds and infinitesimal area element dA are:
The directions of the infinitesimal path element d Vector s and infinitesimal area element d Vector A is none of the given option.
The directions of the infinitesimal path element d Vector s and infinitesimal area element d Vector A in Maxwell's equations are not fixed or predetermined to always be in the same direction, always in opposite directions, or always perpendicular to each other.
The orientations of these elements depend on the specific geometry and configuration of the electromagnetic field being considered. The direction of d Vector s is determined by the chosen path or curve along which the integration is performed.
The direction of d Vector A is determined by the orientation of the surface over which the integration is carried out. These orientations can vary depending on the specific problem and the shape of the path or surface involved.
Therefore, the correct answer is E. none of the above, as there is no fixed relationship between the directions of d Vector s and d Vector A in general.
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The question attached here seems to be incomplete, the complete question is:
Two of Maxwell’s equations contain a path integral on the left side and an area integral on the right. The directions of the infinitesimal path element d Vector s and infinitesimal area element d Vector A are: A. always in the same direction B. always in opposite directions C. always perpendicular to each other D. never perpendicular to each other E. none of the above
Describe the meaning of the translation (x + 6, y + 10).
All points are moved 6 units right and 10 units up
All points are moved 6 units left and 10 units up
All points are moved 6 units left and 10 units down
All points are moved 6 units right and 10 units down
Answer:
Step-by-step explanation:
The meaning of the translation (x + 6, y + 10) is that all points in a coordinate plane are moved 6 units to the right and 10 units up.
In other words, for any point (x, y) in the original position, after the translation, the new coordinates would be (x + 6, y + 10). This means that the x-coordinate of each point is increased by 6 units, resulting in a shift to the right, and the y-coordinate is increased by 10 units, resulting in a shift upwards.