Answer:
Step-by-step explanation
James wants to buy some CDs that cost $14 each and a DVD that costs $23. He has $65. Write an equation (in the Show your work area) and solve to find how many CDs he can buy. Include "CD" in your answer.
Answer:
3
Step-by-step explanation:
65-23= 42
42/14= 3
Answer:
14x+23 =65 x=3CDs
Step-by-step explanation:
So for any question where you need to write your own equation, it is first necessary that you determine what each number in the problem means in order to determine where they should go. James has $65 so the equation needs to be set equal to 65. The problem says he wants to buy a DVD for $23 so that would be a constant $23 spent regardsless of how many CDs he buys. We are trying to use the equation to determine how many CDs James can buy so the number of CDs is the x value at $14 each which would be 14x in the equation. so the equation would be the 14x for the unknown number of CDs, plus 23 for the constant DVD that James would buy set equal to the $65 he can use to buy everything.
To solve the equation, you must now isolate for x. To start, cancel out the +23 on the left side by subtracting 23 from both sides. This will leave 14x=42. You must then cancel the 14 by dividing both sides by 14 leaving your answer of x=3CDs.
I hope this helps.
Brian ordered 3 large cheese pizzas and a salad. The salad cost $4.95. if he spent a totai of $47.60 including the $5 tip, how much did each pizza cost? (Assume there is no tax).
Each pizza cost $ 12.65
What is an Equation ?An Equation is used in determination of unknown variables in an expression .
It is given that
Brian ordered 3 large cheese pizzas and a salad.
The salad cost $4.95
Total amount spend = $47.60
Tip = $5
The amount spend in food is $ 47.60-5
= $42.60
Let the price of Pizza is x then the equation that can be formed to determine the price of pizza is
3x + salad = 42.60
3x + 4.95 = 42.60
3x = 37.65
x = $12.65
Therefore each pizza cost $ 12.65
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Answer:
12.55
Step-by-step explanation:
how do you give and get brainliest some tell me. (WILL GIVE 10 POINTS)
Convert each of these statments into a ratio in its simplest form. For every 6 women the school employs 8 men. women:men
?:?
Answer:
The ratio of women to men that the school employs can be expressed as:
6:8
This ratio can be simplified by dividing both sides by their greatest common factor, which is 2:
6 ÷ 2 : 8 ÷ 2
3 : 4
Therefore, the ratio of women to men in simplest form is 3:4.
Step-by-step explanation:
Answer:
3:4
Step-by-step explanation:
To reduce a fraction to its simplest term, we always divide both the numerator and denominator by the Least Common Multiple (LCM)
What are the zeros of f(x) = x2 - 12x+ 36?
A. X = -4 and x = 9
B. x = -6 only
C. x= -6 and x = 6
D. x = 6 only
Answer:
D
Step-by-step explanation:
x^2-12x+36
type into desmos and see where it touches the the line
The Riemann zeta function for real numbers is defined for all x for which the series below converges. Find the domain of the function. (Enter your answer using interval notation.)
(x)=infinite to n=1 (n^-x)
In interval notation, the domain is (1, ∞).
The Riemann zeta function for real numbers is defined as ζ(x) = ∑n=1 to ∞ (n^-x) for all x for which the series converges.
To find the domain of the function, we need to determine for which values of x the series converges.
Using the p-series test, we know that the series ∑n=1 to ∞ (n^-x) converges if x > 1. Therefore, the domain of the Riemann zeta function is x > 1.
In interval notation, the domain is (1, ∞).
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What is the slope of this line? Responses 1/3 1 third 2/3 2 over 3 −2/3 negative 2 over 3 −1/3
Answer:
2/3
Step-by-step explanation:
slope = rise/run
Start at point (0, -3).
Go up 2. That is a rise of 2.
Go right 3. That is a run of 3.
slope = rise/run = 2/3
Describe how to transform the graph of f(x) = ⎜x⎟ to obtain the graph of the related function g(x). Then draw the graph of g.
Answer:
ssss
Step-by-step explanation:
dddd
How would get get the answer 60 if both sides each equal 30? All of the same shape has to equal the same thing. For example all the squares have to equal the same thing. Thanks for your help!
Answer:
hey there!
I guess you shouldn't be saying ugly to anyone..
that's not good..
Answer:
hi
Step-by-step explanation:
Given Z2, the integer system modulo 2, and the set G whose elements are a 2×2 . matrix with the component in Z2 and whose determinant is different from 0. Show the set G equipped with matrix multiplication operations to form groups.
Given Z2, the integer system modulo 2, and the set G whose elements are a 2×2 . matrix with the component in Z2 and whose determinant is different from 0, we need to show the set G equipped with matrix multiplication operations to form groups.
What is a group?A group is a set of elements with an operation that combines any two of its elements to form a third element, and the operation satisfies four properties:
Closure Property Associativity Identity element Inverse elementClosure property: Let A, B ∈ G, then
A = $\begin{bmatrix}a_{11}&a_{12}\\a_{21}&a_{22}\end{bmatrix}$,
B = $\begin{bmatrix}b_{11}&b_{12}\\b_{21}&b_{22}\end{bmatrix}$
Now,
AB
=$\begin{bmatrix}a_{11}b_{11}+a_{12}b_{21}&a_{11}b_{12}+a_{12}b_{22}\\a_{21}b_{11}+a_{22}b_{21}&a_{21}b_{12}+a_{22}b_{22}\end{bmatrix}$.
The determinant of AB is $(a_{11}b_{22} - a_{12}b_{21})(a_{21}b_{12} - a_{22}b_{11})$.
This determinant is not equal to 0, because determinant of A and B are not equal to 0.
Therefore, the matrix AB is an element of G.
Thus G is closed under multiplication property.
Associativity property: Let A, B, C ∈ G, then(A.B).C = A.(B.C).
Let I denote the 2 x 2 identity matrix.
It is a matrix with elements 1's in the main diagonal and 0's elsewhere, then AI = IA
= A for all A ∈ G.
Hence, I is the identity element in G.
Inverse element,
For A = $\begin{bmatrix}a_{11}&a_{12}\\a_{21}&a_{22}\\
end {bmatrix}$, $\begin{vmatrix}a_{11}&a_{12}\\a_{21}&a_{22}\
end{vmatrix}
= a_{11}a_{22} - a_{12}a_{21} ≠ 0$.
Thus, there exists a matrix $A^{-1}$ such that AA-1 = A-1A
= I,
where$$A^{-1} = \frac{1}{a_{11}a_{22} - a_{12}a_{21}}\begin{bmatrix}a_{22}&-a_{12}\\-a_{21}&a_{11}\end{bmatrix}$$.
Therefore, the set G equipped with matrix multiplication operations to form groups.
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ANSWER QUICK
Identify an equation in point-slope form for the line perpendicular to y = 3x + 5
that passes through (4, -1).
A. 8+1=-(-4)
B. y-1= -3(x + 4)
C. y +1 = 3(x-4)
D. y - 4 = =
--3(x+1)
what is the company's total contribution margin? begin by identifying the formula.
Total contribution margin is an accounting metric that evaluates how well a company's sales income covers its variable expenses. The company's total contribution margin can be found using the formula: Total Contribution Margin = Total Revenue - Total Variable Costs.
To calculate the total contribution margin, follow these steps:
1. Determine the total revenue: This is the amount of money the company makes from selling its products or services. You can find this by multiplying the selling price of each product by the number of units sold.
2. Determine the total variable costs: These are the costs that change depending on the level of production or sales. Examples of variable costs include raw materials, direct labor, and shipping costs. Calculate the variable cost for each product by multiplying the variable cost per unit by the number of units produced or sold.
3. Subtract the total variable costs from the total revenue to find the total contribution margin. This value represents the amount of money the company has remaining after covering its variable costs, which can be used to cover fixed costs and contribute to profit.
So, to calculate the company's total contribution margin, use the formula: Total Contribution Margin = Total Revenue - Total Variable Costs, and follow the steps above.
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simplify
6 ÷ 3 + 32 · 4 − 2
Answer:
128 <33
Step-by-step explanation:
6 ÷ 3 + 32 • 4 - 2 = 128
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Andrea watered all the flowers at a business park. While watering, she noticed the daisies had been planted in groups of 8 and the lilies had been planted in groups of 7. If Andrea watered the same number of each flower, what is the minimum number of each that she must have watered?
Since both group sizes are prime numbers, there are no common factors between them. Thus, the LCM is simply the product of the two group sizes: 8 * 7 = 56.
To find the minimum number of daisies and lilies that Andrea must have watered, we need to determine the least common multiple (LCM) of the group sizes, which in this case are 8 for daisies and 7 for lilies.
The LCM of 8 and 7 is 56. This means that Andrea must have watered at least 56 flowers in total, with an equal number of daisies and lilies. The LCM represents the smallest multiple that both 8 and 7 can divide evenly into.Since both group sizes are prime numbers, there are no common factors between them. Thus, the LCM is simply the product of the two group sizes: 8 * 7 = 56.
Therefore, Andrea must have watered a minimum of 56 flowers, with an equal number of daisies and lilies, in order to meet the given planting arrangement.
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Consider this expression. - 4 x 2 + 2 x − 5 ( 1 + x ) What expression is equivalent to the given expression? x 2 + x +
The expression equivalent to\(-4x^2 + 2x - 5(1 + x)\) is \(4x^2 + 8x + 5.\)
This expression matches the form \(x^2 + x + c,\) where c = 5.
To simplify the given expression \(-4x^2 + 2x - 5(1 + x)\) and make it equivalent to the expression \(x^2 + x + c,\) where c is a constant term, we need to perform some algebraic operations.
First, let's distribute the -5 to the terms inside the parentheses:
\(-4x^2 + 2x - 5 - 5x\)
Next, we can combine like terms:
\(-4x^2 + (2x - 5x) - 5 - 5x\)
Simplifying further:
\(-4x^2 - 3x - 5 - 5x\)
Now, let's rearrange the terms to match the form \(x^2 + x + c:\)
\(-4x^2 - 3x - 5x - 5\)
To make the leading coefficient positive, we can multiply the entire expression by -1:
\(4x^2 + 3x + 5x + 5\)
Now, we can combine the x-terms:
\(4x^2 + 8x + 5\)
So, the expression equivalent to \(-4x^2 + 2x - 5(1 + x)\) is \(4x^2 + 8x + 5.\)This expression matches the form \(x^2 + x + c,\) where c = 5.
It's important to note that the original expression and the equivalent expression have different coefficients and constants, but they represent the same mathematical relationship.
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Can someone help me?
Answer:
Step-by-step explanation:
See attached image.
which equation generates the value in the table
Answer:
A
Step-by-step explanation:
The radius of a circle is 5 ft. Find its area to the nearest tenth.
Answer:
78.5 ft² (nearest tenth)
Step-by-step explanation:
area of circle = \(\pi r^2\)
⇒ area = \(\pi\) x 5² = 25\(\pi\) = 78.5 ft² (nearest tenth)
When are two triangles similar? Select all that apply.
All three of their corresponding angles have the same measure.
Two of their corresponding angles are the same angle measure.
Only one of their angles match.
All ratios of corresponding sides are proportional.
Two of their corresponding sides are in the same ratio.
Two triangles are said to be similar when; two of their corresponding angles are the same angle measure.
What is a triangle?A triangle is a polygon with three sides and three angles.
Types of triangles
Equilateral triangleScalene triangleIsosceles triangleTwo triangles are said to be similar if two pairs of their corresponding angles are congruent. This is because if two pairs of angle are the equal, then the third pair must also be equal.
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will give brainliest for correct answer...
The formula F(C) = 9/5 C + 32 calculates the temperature in degrees Fahrenheit, given a temperature in degrees Celsius.
You can find an equation for the temperature in degrees Celsius for a given temperature in degrees Fahrenheit by finding the function’s ______ .
Answer:
85 degrees Fahrenheit
Step-by-step explanation:
This question is so confusing yet simple at the same time, anyone willing to help?
Answer:
2.5 in.
Step-by-step explanation:
The triangle formed by the beams is a right triangle so we can apply the Pythagoras theorem:
6.5^2 = x^2 + 6^2
x^2 = 42.25 - 36
x^2 = 6.25
x = 2.5,
9y^2 -24y +16 is the area find the side length
Factor using the perfect square rule.
( 3 y − 4 ) ^2
Answer: 3x+ 4 units
Step-by-step explanation:
9x^2 + 24x + 16 =(3x +4) (3x + 4)
lenth of each side 3x+ units
what is the value of x?
What is the potential energy of a 3 kg ball that is on a shelf 2 meters high?
Step-by-step explanation:
mass(m)= 3kg
height(h)= 2m
gravity(g)= 9.8 m/s^2
P.E.= mgh
=3*2*9.8
=58.8 Joule
Answer:
58.84 Joules
Step-by-step explanation:
3(Mass)*2(Height)*9.8=58.84J
can someone help me with this
Answer:
B. across the y-axis
Step-by-step explanation:
The line of reflection is the perpendicular bisector of the segment between the orginal point and its image. If you plot the two points, you see that the y-axis is that bisector.
The point was reflected across the y-axis.
__
Additional comments
Changing the sign of the x-coordinate means a point that was some distance on one side of the y-axis is now that same distance on the other side. That is, the y-axis is the line of reflection when the sign of x changes.
Similarly, the x-axis is the line of reflection when the sign of y changes.
(x, y) ⇒ (-x, y) . . . . reflection across the y-axis
(x, y) ⇒ (x, -y) . . . . reflection across the x-axis
__
Changing the signs of both coordinates (in either order) is effectively a reflection across the origin. There are other names for this reflection, too.
(x, y) ⇒ (-x, -y) . . . . reflection across both axes, across the orign, rotation 180°
Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning. I estimate that the probability of my getting married in the next 3 years is 0.7. math
The statement "I estimate that the probability of my getting married in the next 3 years is 0.7" does make sense.
As individuals, we can make personal estimates or predictions about events that are relevant to our lives, such as the probability of getting married in a certain timeframe. These estimates are based on our own subjective beliefs, experiences, and expectations. While they may not be based on precise mathematical calculations or rigorous statistical analysis, they can still reflect our personal opinions or perceptions.
In this case, the person is providing an estimate that they believe there is a 0.7 (or 70%) probability of getting married within the next 3 years. This estimate is a subjective assessment of their own chances based on various factors such as their current relationship status, personal goals, or cultural norms.
It is important to note that personal estimates like this are not necessarily based on concrete evidence or universally applicable probabilities. They can vary greatly from person to person and are subjective in nature. However, they can still hold personal meaning and influence one's decision-making or expectations regarding future events.
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Match the graph with the correct equation
A: Y= -2X + 5
B: Y= -X + 3
From: SLOPE-INTERCEPT FORM: PART 1
Answer:
The equation for this picture(graph) is:
y = -x+3
Slope: Rise/run
= 3/3
= 1
= -1 (negative because the slope is decreasing).
Y-intercept is where the line touches the y-axis
7 Which of following equations represents the
relationship shown in the graph below?
a. y = .2x
b. y = x + 12
50
45
40
35
30
25
20
15
10
5
c. y = 3x
d. y = 5x
1 2 3 4 5 6 7 8 9 10
Answer:
y=5x
Step-by-step explanation:
slope =5
y intercept= 0
Graph the inequality.
x + 2y 54
Answer:
I cant solve it without the inequality symbol sorry.
Step-by-step explanation:
A tank of water in the shape of a cone is being filled with water at a rate of 12 m/sec. The base radius of the tank is 26 meters, and the height of the tank is 18 meters. At what rate is the depth of
The depth of the water in the cone-shaped tank is increasing at a rate of approximately 1.385 meters per second.
To determine the rate at which the depth of the water is changing, we can use related rates. Let's denote the depth of the water as h(t), where t represents time. We are given that dh/dt (the rate of change of h with respect to time) is 12 m/sec, and we want to find dh/dt when h = 18 meters.
To solve this problem, we can use the volume formula for a cone, which is V = (1/3)πr^2h, where r is the base radius and h is the depth of the water. We can differentiate this equation with respect to time t, keeping in mind that r is a constant (since the base radius does not change).
By differentiating the volume formula with respect to t, we get dV/dt = (1/3)πr^2(dh/dt). Now we can substitute the given values: dV/dt = 12 m/sec, r = 26 meters, and h = 18 meters.
Solving for dh/dt, we have (1/3)π(26^2) (dh/dt) = 12 m/sec. Rearranging this equation and solving for dh/dt, we find that dh/dt is approximately 1.385 meters per second. Therefore, the depth of the water in the tank is increasing at a rate of about 1.385 meters per second.
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