Jack plans to buy 2.25 lb of coleslaw at $2.80 per pound. He also wants 2lb of macaroni salad that sells for $3.15 per pound. Jack has a $10 bill in his wallet. Is this enough for the coleslaw and the macaroni? Explain.
Solve this equation 1/2x−7=1/3(x−12)
Step 1: Simplify both sides of the equation.
Step 2: Subtract 1/3x from both sides.
Step 3: Add 7 to both sides.
Step 4: Multiply both sides by 6.
Answer:
x=18
9) The area of a rectangle is given by the trinomial x? - 2x - 35. What are
the possible dimensions of the rectangle? Hint: Find the length and the
width by factoring the area.
Answer:
Step-by-step explanation:
x² - 2x - 35
(x - 7)(x + 5)
x - 7 = 0 ; x + 5 = -5
x = 7, -5
You are shopping for single-use cameras to hand out at a party. The daylight cameras cost $2.75 and the flash cameras cost$4.25. You must buy exactly 20 cameras and you want to spend between $65 and$75, inclusive. Write and solve a compound inequality for this situation. Then list all the solutions that involve whole numbers of cameras.
The compound inequality for the given situation is $2.75x + $4.25y ≥ $65 and $2.75x + $4.25y ≤ $75, where x represents the number of daylight cameras and y represents the number of flash cameras.
To solve this compound inequality, we need to find the values of x and y that satisfy both conditions. The inequality $2.75x + $4.25y ≥ $65 represents the lower bound, ensuring that the total cost of the cameras is at least $65. The inequality $2.75x + $4.25y ≤ $75 represents the upper bound, making sure that the total cost does not exceed $75.
To list the solutions involving whole numbers of cameras, we need to consider integer values for x and y. We can start by finding the values of x and y that satisfy the lower bound inequality and then check if they also satisfy the upper bound inequality. By trying different combinations, we can determine the possible solutions that meet these criteria.
After solving the compound inequality, we find that the solutions involving whole numbers of cameras are as follows:
(x, y) = (10, 10), (11, 8), (12, 6), (13, 4), (14, 2), (15, 0), (16, 0), (17, 0), (18, 0), (19, 0), (20, 0).
These solutions represent the combinations of daylight and flash cameras that fulfill the requirements of buying exactly 20 cameras and spending between $65 and $75.
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A gym membership costs $25 to join and $14 each month. Write and use an algebraic
expression to find the cost of the gym membership for 6 months.p
The algebraic expression to find the cost of the gym membership for 6 months is given by 25+6×14.
What is algebraic expression?
An algebraic expression is one that has been constructed using integer constants, variables, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c. Any mathematical operation that involves variables, such as addition, subtraction, multiplication, or division, can have its solutions calculated using algebraic expressions. Monomial, binomial, and polynomial expressions are the three different categories of algebraic expressions.
Given, the cost of joining membership = $25
The cost of each month = $14
Cost of 6 months = 6 multiplied by 14
Cost of gym membership for 6 months = 25+6×14
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An arrow is shot upward from the ground, with initial velocity of 93 meters per second, at an angle of 289 with respect to the horizontal The horizontal distance x from the starting point and the height y above the ground of the aTTow seconds after it is shot are given by the parametric equations below. Vo cos(0) y =-4.9t2 + Vo sin(8) t + h a.) How long is the arTow in the air before it touches the ground for the final time? Round your answer to the nearest tenth: b.) What was the maximum height of the arrow? Round your answer to the nearest whole number:
The arrow's motion can be described by parametric equations: x = V₀cosθt and y = -4.9t² + V₀sinθt + h, where V₀ is the initial velocity, θ is the launch angle, t is the time, and h is the initial height. To determine the time the arrow is in the air before touching the ground and the maximum height reached, we need to solve for the corresponding values in the equations.
(a) To find the time the arrow is in the air before touching the ground for the final time, we need to determine the value of t when y equals zero (the ground level). We can set the equation -4.9t² + V₀sinθt + h = 0 and solve for t. This equation represents the vertical motion of the arrow. Once we find the value of t, we can round it to the nearest tenth.
(b) To determine the maximum height reached by the arrow, we need to find the vertex of the parabolic equation -4.9t² + V₀sinθt + h. The maximum height occurs at the vertex of the parabola, which corresponds to the highest point of the arrow's trajectory. We can use the formula t = -b/2a, where a = -4.9 and b = V₀sinθ, to find the time at which the maximum height is reached. Once we find the value of t, we can substitute it into the equation y = -4.9t² + V₀sinθt + h to calculate the maximum height, rounding it to the nearest whole number.
By solving for the time when the arrow touches the ground and finding the maximum height, we can better understand the arrow's motion and trajectory.
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5 quick algebra 1 questions for 50 points!
Only answer if you know the answer, shout-out to subtomex0, tysm for the help!
\(x {}^{2} - 8x - 9 = 0 \\ x + y = 8 \\ xy = - 9\)
Two numbers who sum up to 8 and multiply to -9 are: 9 and -1Q 4 - d -\(g(x) = x {}^{2} - 7x + 12 \\ g(6) = 36 - 42 + 12 = 6 \\ g( - 7) = 49 + 49 + 12 = 110 \\ g( - 3) = 9 + 21 + 12 = 42 \\ g(4) = 16 - 28 + 12 = 0\)
x=4 is a rootThese problems can be approached in many ways: completing the square/factoring/using the quadratic formula...Q 1 - c -h(x)= -2x+10h(0)=10 ( 0 , 10 )h(x)=0x=5 ( 5 , 0 )Q 5 - True -f(x) = 2x²+3x-2f(x)=02x²+3x+2=0x=-2 x=1/2Q 4 - 3 is the zero -b
Answer:
Question 1:The correct answer is C. -1 and 9
Question 2: The correct answer is D.4
Question 3: The correct answer is C. The x-intercept of (5,0) and y-intercept of (0,10)
Question 4: The correct answer is B. True
Question 5: The correct answer is b.
If the mpc increases in value, what will happen to the slope of the consumption function?
If the mpc increases in value, the consumption function will become steeper.
What is MPC ?
MPC is an advanced method of process control that is used to control a process while satisfying a set of constraints. In economics, the marginal propensity to consume is a metric that quantifies induced consumption, the concept that the increase in personal consumer spending occurs with an increase in disposable income. The proportion of disposable income which individuals spend on consumption is known as propensity to consume. MPC is the proportion of additional income that an individual consumes.
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Can someone help me put this equation in standard form I give you brainliest !(and a explanation )
Answer:
\(y = \frac{1}{2}x\)
Step-by-step explanation:
First plot (3,1). Then use the slope to create the second point. Go up 1, right 2.
Next draw a line connecting the points. The line touches the y-axis at 0.
\(y = mx + b\) is the form you use.
~theLocoCoco
What is the area of a triangle whose sides are 25, 5, and 2?
Answer:
i think its 125 but dont trust me
Step-by-step explanation:
so i added 25 , 5 , 2 and divided by two since the formula of a triangle is base x height / 2
solve pls brainliest
Answer:
2/4. the equal is 3/4. hope that helps
Help PLZZZZZ need Help in math hellpppp 20 point plzzz help NO LINKS OR IMMA REPORT U.
as the spacing between joists increases, the maximum span for any board size: A. increases only. B. decreases only. C. increases and then decreases. D. decreases and than increases
As the spacing between joists increases, the maximum span for any board size will B. decrease only. This is because the wider the spacing between joists, the more weight and pressure will be placed on the boards that are spanning the gap between them.
This means that the boards will need to be stronger in order to support the weight without bending or breaking.
If the boards are not strong enough, they may sag or bow under the weight, which can create safety hazards or damage to the structure. Therefore, it is important to use the appropriate board size and spacing between joists for any given application in order to ensure structural integrity and safety.
In summary, increasing the spacing between joists will result in a decrease in the maximum span for any board size, as the boards will need to be stronger in order to support the weight and pressure. It is important to choose the right board size and joist spacing to maintain the structural integrity and safety of the building or structure.
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I NEED HELP
triangle J’K’L’ shown on the grade below is a dilation of triangle JKL using the origin as the center of dilation
Which scale factor was used to create triangle J’K’L’
The scale factor that was used to create triangle J’K’L’ is 1/3
How to determine the scale factor?From the graph, we have the following highlights:
KL = 3
K'L' = 1
The scale factor (k) from JKL to J'K'L is calculated as:
Scale factor = K'L'/KL
This gives
k = 1/3
Hence, the scale factor that was used to create triangle J’K’L’ is 1/3
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Sally is creating a flower bed that wraps around the corner of her house. She will put edging around the flower bed 10 feet from the corner of the house in all directions as shown below.
Which is the BEST estimate of the number of feet of edging that Sally will need?
O A 63
B 24
CS
Answer:
A
Step-by-step explanation:
Diameter = 20
circumference equation = \(\pi\)D
\(\pi 20\) = 62.831
Round to 63
The BEST estimate of the number of feet of edging that Sally will need should be option A. 63.
Calculation of the best estimation of the number:Since Diameter = 20
So, the equation of the circumference is
= \(\pi D\)
= (3.14) (20)
= 63
hence, The BEST estimate of the number of feet of edging that Sally will need should be option A. 63.
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what part of an hour is 45 minutes
if you consume seven 28.35-gram (one-ounce) bars this week from a brand at the mean contamination level, what is the probability that you consume one or more insect fragments in more than one bar?
The probability of consuming at least one insect fragment in more than one bar is 0.3011.
Given that you consumed seven 28.35-gram (one-ounce) bars this week from a brand at the mean contamination level. The probability of finding one or more insect fragments in a 28.35-gram chocolate bar that is produced with the mean level of contamination is 0.4875.
The probability that you consume one or more insect fragments in a single bar is 0.4875The probability that you will not consume an insect fragment in a single bar is 0.5125
The probability that you will not consume an insect fragment in any of the seven bars is 0.5125⁷ = 0.0236The probability that you consume one or more insect fragments in more than one bar is 1 - 0.0236 = 0.9764The probability that you consume one or more insect fragments in more than one bar is 0.9764.
The probability that you consume one or more insect fragments in more than one bar is 0.3011.
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Simplify the product to the form √a or b√a.
√30/2√5
Answer:
\(\frac{\sqrt{6} }{2}\)
Step-by-step explanation:
a number with a square root can't be the denominotar, so multoply the fraction by \(\frac{\sqrt{5} }{\sqrt{5} }\) which is \(\frac{\sqrt{150} }{10}\). \(\sqrt{150}\) can be simplified to \(5\sqrt{6}\). divide the entire fraction by 5 to create the answer.
You buy 1 shirt and 2 pair of pants for $31 Your friend buys 3 shirts and 1 pair of pants for $38
Using a system of linear equation, the cost of each shirt and pant is $9 and $11 respectively.
What is System of Linear EquationA system of linear equations is a collection of one or more linear equations that contain two or more variables. The goal of solving a system of linear equations is to find the values of the variables that satisfy all of the equations in the system.
A linear equation is an equation that can be written in the form of ax+by=c, where x and y are variables, and a, b, and c are coefficients.
In this problem, we need to define our variables and the solve the equations.
Let;
x = cost of shirty = cost of pantx + 2y = 31 ...eq(i)
3x + y = 38 ...eq(ii)
Solving both equations
x = 9, y = 11
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Is the following number rational or irrational?
- 13/12
A: rational
B: irrational
Answer:
B. irrational
Step-by-step explanation:
-13/12 = −1.083333333
Find the extraneous solution of the equation |9−4x|=−5x.
Answer:
X=-9
Step-by-step explanation:
In April, the party and occasions department had an opening inventory at 57,000 at retail. The sell thru percentage rate for April was 28 %, and the closing stock was 49. 0. What were the net sales in the department during the month of April
The net sales in the department during the month of april is $15960.
Sell-thru perecentage rate = Units sold / Units recieved
In our case:
Net sales = (Sell-thru rate)*(opening inventory)
Net sales = (0.28)*($57000)
= $15960
Net sales refer to the total amount of revenue generated by a company from its primary business operations, minus any returns, allowances, and discounts. This figure reflects the actual revenue earned by a company after accounting for any deductions and is a critical metric for evaluating the financial performance of a business.
Net sales are reported on a company's income statement and are a key component of the top line, which also includes other sources of revenue, such as interest income or gains from the sale of assets. Understanding a company's net sales is essential for assessing its growth potential, profitability, and overall financial health. Investors, creditors, and other stakeholders use net sales as a metric to evaluate a company's ability to generate revenue from its core operations, as well as its ability to compete effectively in its industry.
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Given the rule "Divide by 4, then add 2." Complete the following table.
Input Output
0
2
4
6
8
10
The table is completed below.
Input 0 2 4 6 8 10
Output 2 3/2 3 5/2 4 7/2
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
Let 'y' be the output and 'x' be the input.
Given the rule "Divide by 4, then add 2." Complete the following table. Then the function is given as,
y = (x / 4) + 2
At x = 0, then we have
y = (0 / 4) + 2 = 2
At x = 2, then we have
y = (2 / 4) + 2 = 3/2
At x = 4, then we have
y = (4 / 4) + 2 = 3
At x = 0, then we have
y = (0 / 4) + 2 = 2
At x = 0, then we have
y = (0 / 4) + 2 = 2
At x = 6, then we have
y = (6 / 4) + 2 = 5/2
At x = 8, then we have
y = (8 / 4) + 2 = 4
At x = 10, then we have
y = (10 / 4) + 2 = 7/2
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Use a graphing calculator to solve the equation -6 cos pi/3 (theta) =4 in the interval from 0 to 2p. Round to the nearest
hundredth.
a. 2.41, 4.17
b. 2.20, 3.80
c. 2.30, 3.98
d. -3.80,-2.20, 2.20, 3.80
The solutions to the given equation are 2.20 and 3.80.
We are given an equation. An equation is a mathematical statement that proves the equality of two mathematical expressions. The equation consists of trigonometric ratios. Trigonometry is a field of mathematics that explores the connections between triangle side lengths and angles. The equation is -6cos(θ*π/3) = 4. We need to find the solutions to the equation using a graphing calculator. The solutions must lie within the given interval. The interval is from 0 to 2π. The graph is attached below. We have two solutions between 0 and 2π. The feasible values of θ are 2.20 and 3.80.
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⚠️HELP⚠️MY HW IS DUE IN 10 MINS
A water tank is being filled with water. Before water is pumped in, the water level in the tank is 11 inches high. After 20 minutes, the water level is 56 inches high.
If "t" represents the time in minutes, and "h" represents the water level, which of the following equations can be used to model this situation?
A. h=2.25t + 11
B. h=2.25t - 11
C. h=11t + 2.25
D. h=45 + 11t
Answer:
Step-by-step explanation:
so coz there was already 11 inches but after 20min the tank is 56inch so wht u do is this
45+11t if im right
mike has 40 coins consisting of dimes and quarters. if the dimes were quarters and the quarters dimes he would have 90 cents more. how many quarters does he have?
In the word problem, if mike has 40 coins consisting of dimes and quarters and if the dimes were quarters and the quarters dimes, he would have 90 cents more, he has 17 quarters.
A word problem refers to a mathematical exercise where significant information on the problem is given in ordinary language and not mathematical notation. Let x be the number of dimes (10 cents) and y be the number of quarters (25 cents). Hence, the total number of coins is:
x + y = 40
The amount of the total coins would be 0.1x + 0.25y.
If the dimes were quarters and quarters were dimes, he would have 90 cents more than the amount he has now.
Hence,
0.25x + 0.10y = 0.1x + 0.25y + 0.9
Solving,
0.25x – 0.1x = 0.25y – 0.1y +0.9
0.15x = 0.15y + 0.9
As x + y = 40, x = 40 – y
Substituting,
0.15 (40 – y) = 0.15y + 0.9
6 - 0.15 y = 0.15y + 0.9
0.15y + 0.15y = 6 – 0.9
0.3y = 5.1
y = 5.1/0.3 = 17
Hence, the number of quarters are 17.
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1 + 3/4 =? trying to figure this out!
Answer:
1.75 as a decimal or 1 3/4 as a mixed number
Find the product.
(1.2) x (0.11)
Answer:
0.132
Step-by-step explanation:
1.2 * 0.11 = 0.132
Answer:
.132
Step-by-step explanation:
So take away the decimal on both for a second and then multiply then on the answer move the decimal over 3 times there is your answer
how to find concave up and down with second derivative
The concavity of a function can change at inflection points, where the concavity transitions from concave up to concave down or vice versa. Inflection points occur when the second derivative is equal to zero or undefined.
To determine whether a function is concave up or concave down using the second derivative, you can follow these steps:
Find the second derivative of the function. This involves taking the derivative of the first derivative of the function. The second derivative is often denoted as f''(x) or d²y/dx².
Identify the critical points of the function. These are the points where the first derivative is equal to zero or undefined. You can find the critical points by setting the first derivative equal to zero and solving for x.
Evaluate the second derivative at the critical points. Plug the critical points into the second derivative equation and calculate the resulting values.
Analyze the sign of the second derivative at the critical points. If the second derivative is positive at a critical point, the function is concave up at that point. If the second derivative is negative at a critical point, the function is concave down at that point.
By examining the signs of the second derivative at the critical points, you can determine the concavity of the function in the corresponding intervals.
Remember that this method applies specifically to functions whose second derivative is continuous. In cases where the second derivative is discontinuous or undefined, additional analysis may be needed.
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Which of the following values are solutions to the
inequality –8 + 2x > 5
Answer:
6
Step-by-step explanation:
i guess