A worker uses a forklift to move boxes that weigh either 40 pounds or 65 pounds each. Let x be the number of 40-pound boxes and y be the number of 65-pound boxes. The forklift can carry up to either 45 boxes or a weight of 2,400 pounds. Which of the following systems of inequalities represents this relationship? 40x + 657 $ 2.400 rty < 45 C) | 40r + 657 $ 45 | x + y < 2.400 B) [xu y < 2.100 40x + 657 $ 2.400 xl y < 1
Answers
Let:
x = number of 40-pound boxes
y = number of 65-pound boxes
The forklift can carry up to either 45 boxes
This means:
\(x+y\leq45\)The forklift can carry up a weight of 2,400 pounds:
This means:
\(40x+65y\leq2400\)Related Questions
Marjory works at a commercial bakery. She is conducting an experiment to test the results of two yeast activators for making bread. The Rapid Prove activator claims to increase the rise of dough by at least 30%. The Quick Rise activator claims to increase the rise of dough by at least 26%.
Marjory and her team bake 60 loaves of bread, 30 using the Rapid Prove activator and 30 using the Quick Rise activator.
After the loaves were baked, Marjory evaluated the rise of the breads as compared to previous doughs with no activator used. She reported that, on average, the rise of those made with the Rapid Prove activator increased by 25% and the rise of loaves made with the Quick Rise activator increased by 28%.
The Rapid Prove activator claim is __.
The Quick Rise activator claim is __.
The activator __ is more effective because the increase in rise was __ that of the other activator.
Answers
Answer:
false
true
quick rise
greater than
Step-by-step explanation:
#platolivesmatter
#platopeeps
#edmentum gang
Hope This helped XD
The Rapid Prove activator claim is false while the Quick Rise activator claim is true.
What is a claim?It should be noted that a claim simply means the stance of an individual regarding a research or a particular work.
In this case, it was reported that reported the rise of those made with the Rapid Prove activator increased by 25% and the rise of loaves made with the Quick Rise activator increased by 28%.
The Rapid Prove activator claim is false while the Quick Rise activator claim is true.
Hence, the activator quick rise is more effective because the increase in rise was greater than that of the other activator.
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My mum is 29 and my dad is 36.What is thr difference in their ages
Answers
Answer:
7
Step-by-step explanation:
differnece = subtraction
36-29 = 7
Hope this helps plz hit the crown :D
Answer:
seven
Step-by-step explanation:
36 - 29 = 7
unless their birthday months are something like:
mom - 3rd of may
father - 8 of november
then technically it's 6 years and a few months but it's not that deep haha
At the supermarket you can fill your own honey bear container. A customer buys 12 oz of honey for $5.40.
How much honey can you buy per dollar?\
Answers
the ent weight in pounds of a packaged chemical herbicide in uniform for 49.62 < x < 50.12 pounds. what is the probability that the net weight is greater than 49.9 pounds?
Answers
The probability that the net weight is greater than 49.9 pounds is 0.44
What is probability?
The probability function expressing the density of a continuous random variable ranging between a particular range of values is defined by the probability density function. The probability density function, in other words, generates the likelihood of values for the continuous random variable. It may also go by the names probability function or plain probability function.Given f (x) = 2.0 for 49.62 < x < 50.12 pounds.
Our goal is:
a). We need to find the probability that a package weighs more than 50 pounds.
b). We need to find How much chemical is contained in 90% of all packages.
a). The probability of more than 49.9 pounds.
Given P(X>50).
P(X>49.9) = \(\int\limits^a_b {2} \, dx\) (a=50.12, b= 49.9)
P(X>49.9) = [2x]₄₉.₉⁵⁰.¹²
P(X>49.9) = 2(50.12)-2(49.9)
P(X>49.9) = 100.24-99.8
P(X>49.9) = 0.44
Therefore, P(X>49.9) = 0.44
Hence, the probability that the net weight is greater than 49.9 pounds is 0.44
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Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5) A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).
Answers
The relationship which has a zero slope is a two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3, and the second column, y, has the entries, 2, 2, 2, 2. Option A is correct.
We know that a line has a zero slope is when the line is parallel to the x-axis.
The slope of a line is given by;
m = (y₂ - y₁) / (x₂ - x₁)
where (x₂, y₂) and (x₁, y₁) are the coordinates of any two points on the line of slope.
For option A:
The given coordinates are;
(-3, 2), (-1, 2), (1, 2), (3, 2)
Choose any two points to calculate the slope of the line.
We will choose the first two points and put the values in the above formula, we will get;
m = (2 - 2) / (-1 (-3)) = 0 / 2 = 0
So, the slope of the line is 0.
Thus, the relationship which has a zero slope is a two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3, and the second column, y, has the entries, 2, 2, 2, 2. Option A is correct.
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amara finds the sum of two number cubes rolled at the same time. The chart below shows all possible sums from the 36 possible combinations when rolling two number cubes. How many times should Tamara expect the sum of the two cubes be equal to if she rolls the two number cubes 180 times?
Answers
Tamara should expect the sum of the two cubes to be equal to 7 around 30 times when rolling the two number cubes 180 times.
To determine how many times Tamara should expect the sum of the two number cubes to be equal to a certain value, we need to analyze the chart and calculate the probabilities.
Let's examine the chart and count the number of times each sum occurs:
Sum: 2, Occurrences: 1
Sum: 3, Occurrences: 2
Sum: 4, Occurrences: 3
Sum: 5, Occurrences: 4
Sum: 6, Occurrences: 5
Sum: 7, Occurrences: 6
Sum: 8, Occurrences: 5
Sum: 9, Occurrences: 4
Sum: 10, Occurrences: 3
Sum: 11, Occurrences: 2
Sum: 12, Occurrences: 1
Now, let's calculate the probabilities of each sum occurring.
Since there are 36 possible combinations when rolling two number cubes, the probability of each sum is the number of occurrences divided by 36:
Probability of sum 2 = 1/36
Probability of sum 3 = 2/36
Probability of sum 4 = 3/36
Probability of sum 5 = 4/36
Probability of sum 6 = 5/36
Probability of sum 7 = 6/36
Probability of sum 8 = 5/36
Probability of sum 9 = 4/36
Probability of sum 10 = 3/36
Probability of sum 11 = 2/36
Probability of sum 12 = 1/36
To find out how many times Tamara should expect a certain sum when rolling the two number cubes 180 times, we can multiply the probability of that sum by 180.
For example, to find the expected number of times the sum is 7:
Expected occurrences of sum 7 = (6/36) \(\times\) 180 = 30
Similarly, we can calculate the expected occurrences for all other sums.
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Alice finds shirts on sale for $18.99.She buys twelve how much money does she spend?
Answers
Answer:
Well, if Alice buys 12 shirts which each cost $18.99 the equation would be 18.99 * 12 which = 227.88
Alice spent $227.88 on 12 shirts
Step-by-step explanation:
Answer:
Well, if Alice buys 12 shirts which each cost $18.99 the equation would be 18.99 * 12 which = 227.88
Step-by-step explanation:
For 2021, Gourmet Kitchen Products reported $22 million of sales and $19 million of operating costs (including depreciation). The company has $14 million of total invested capital. Its after-tax cost of capital is 9% and its federal-plus-state income tax rate was 25%. What was the firm's economic value added (EVA), that is, how much value did management add to stockholders' wealth during 2021?
Answers
The firm’s economic value added (EVA), that is, how much value did management add to stockholders’ wealth during 2018 is $0.42 million
What is Subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
here, we have,
Net operating profit = (22 million - 19 million)*(1 - 0.36)
= $1.92 million
EVA = net operating profit after taxes - invested capital*WACC
= 1.92 million - 15 million*0.10
= $0.42 million
Therefore, The firm’s economic value added (EVA), that is, how much value did management add to stockholders’ wealth during 2018 is $0.42 million.
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Use each number in the box once to complete the division
5÷6,206
Answers
Answer:
i believe it is 1,241.2
Step-by-step explanation:
well you use long division.
I don't need help but I am giving the answer to everyone :) hope it helps
Answers
The number of cannonballs in illustration is 506.
What is illustration?Math Illustrations enables you to produce more useful geometry figures for your students in less time by fusing the constraint-based design of Geometry Expressions with simple-to-use sketching and graphing features.
The number of cannonballs in the first layer = 1² = 1
Number of cannonballs in the second layer = 2² = 4
Number of cannonballs in the third layer = 3² = 9
So, the generalized formula to count the balls is given as
= n(n + 1) (2n + 1)/ 6
Here, n= the total number of layers
Put n =11
11(11 + 1)(2(11) + 1) / 6
= 11(12)(23)/6
= 3036/6
= 506
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Paul and sandy Moede signed at 8,000 note at Citizen's bank. Citizen's charge a 61/2% discount rate. If the loan is for 300 days, find (a) the proceeds and (b) the effective rate charged by the bank to the nearest
Answers
The proceeds is $7,566.67 and the effective rate charged by the bank to the nearest is 6.87%.
How to find the effective interest rate?Given data:
Principal = $8,000
Rate =6 1/2% or 6.5%
Term= 300 Days
a. Proceeds
Interest = Principal x Rate x Time
Interest = $8,000 x 6.50% x 300/360
Interest = $8,000 x 0.065 x 0.8333
Interest = $433.33
Now let find the Proceeds:
Proceeds = $8,000 - 433.33
Proceeds = $7,566.67
b. Effective Interest Rate:
Effective Interest Rate = 433.33 / 7566.67 x 300/360
Effective Interest Rate = 433.33 / 6305.56
Effective Interest Rate = 0.0687 × 100
Effective Interest Rate = 6.87%
Therefore $7,566.67 is the proceeds and 6.87% is the interest rate.
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W+3/5= 6 1/4
Solve W
Answers
Answer: W = 113/20
Explanation:What we know:
We need to find the value of W6 1/4 - 3/5 = WThe fractions need to be equivalent denominatorsProcess:
Set up equation W + 3/5 = 6 1/4
Expand W + 3/5 = 6*4+1 /4
Simplify W + 3/5 = 25/4
Common denominator W + 3*4/5*4 = 25*5 / 4*5
Simplify W + 12/20 = 125/20
Subtract -12/20 -12 /20
Solve W = 113/20
Answer: W = 113/20Check:
By converting our answers into decimals, we can see if the sides are equal:
113/20 = 5.65
3/5 = 0.6
5.65 + 0.6 = 6.25
Does 6.25 = 6 1/4?
1/4 = 0.25
6 + 0.25 = 6.25
6.25 = 6.25
Therefore, W = 113/20 is the correct answer.
what is the relationship between angle a and angle b
Answers
Answer:
A
Step-by-step explanation: Because of the fact that vertical angles revolve around angles for top to bottom, its A. Correct me if im wrong.
What is the measure of Zx?
Angles are not necessarily drawn to scale.
Y
- Z
106°
Х
W W
O
Answers
Answer:
∠x = 74°Step-by-step explanation:
wxz = wxy + yxz
180 = x + 106
x = 180 - 106
x = 74°
What is the quotient of 78 divided by 4.68
Answers
Answer:
16.67
Step-by-step explanation:
10. A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of _______ inch.
A. 3
B. 1/2
C. 1
D. 11/2
Answers
A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of 11/2 inch. So, the correct answer is (D).
To determine the correct answer, we need to compare the diameters of the two pipes and understand the relationship between pipe diameter and threads per inch.
The number of threads per inch generally decreases as the pipe diameter increases. This means that a larger pipe diameter will have fewer threads per inch compared to a smaller pipe diameter.
Given that the first pipe has a diameter of 1 1/4 inches, we need to find the pipe diameter from the options that is larger than 1 1/4 inches.
The option that meets this requirement is D. 11/2. This represents a pipe diameter of 1 1/2 inches. Therefore, a pipe with a diameter of 1 1/2 inches should have fewer threads per inch than a pipe with a diameter of 1 1/4 inches. Therefore, the correct answer is D. 11/2.
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What is the first step in evaluating the expression shown below?
12
÷
(
7
.
4
−
3
.
6
)
+
8
−
2
Answers
Answer:
Step-by-step explanation:
The first step in evaluating the expression is to perform the calculations inside the parentheses. This involves subtracting 3.6 from 7.4.
Step 1: Evaluate the expression inside the parentheses.
7.4 - 3.6 = 3.8
After evaluating the expression inside the parentheses, the expression becomes:
12 ÷ 3.8 + 8 - 2
Step 2: Perform the division.
12 ÷ 3.8 = 3.158
After performing the division, the expression becomes:
3.158 + 8 - 2
Step 3: Perform the addition and subtraction from left to right.
3.158 + 8 = 11.158
11.158 - 2 = 9.158
Therefore, the value of the given expression is approximately 9.158.
The first step is:
⇨ parenthesesWork/explanation:
The expression is:
12 ÷ (7.4 − 3.6) + 8 − 2
Let's recall the order of operations first:
order of operations = PEMDASPEMDASParenthesesExponentsMultiplicationDivisionAdditionSubtractionSo we evaluate
\(\sf{12\div(7.4-3.6)+8-2}\)
\(\sf{12\div3.8+8-2}\)
Next, division:
\(\sf{3.158+8-2}\)
Next, addition & subtraction:
\(\sf{9.158}\)
Hence, the first step is to evaluate the parentheses.(b) Find the sum of first twenty terms of the following arithmetic progressions A.P
(i) -4,-1, 2,...
(ii) 2, 3, 5,...
(iii) -2, -5, -8, -11,...
Answers
Answer:
-4*20+3*190=490
2*20+190=230
-2*20-3*190=-610
Which set of parametric equations over the interval 0 ≤ t ≤ 1 defines a line segment with initial point (–5, 3) and terminal point (1, –6)?
Answers
Answer:
x(t) = –5 + 6t; y(t) = 3 – 9t
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
I got the Edg Test right
What are 2 institutions from the Industrial Revolution? NEED ANSWER NOW PLEASE!!!!!!!
A. Corporations
B. National Institute of Space and Technology
C. Labor Unions
D. National Institute of Disaster Management
Answers
The institution from the industrial revolution is the national institute of space and technology. Hence, option B is correct.
What is Industrial Revolution?Agrarian and handcraft economies were replaced by industrialized and machine production during the Industrial Revolution in modern history. New modes of living and working were made possible by these technical advancements, which profoundly altered society.
In the 18th century, this practice started in Britain and then extended to other regions of the world. The English economics professor Arnold Toynbee (1852–83), who originally used the word to characterize Britain's economic growth from 1760 to 1840, although it had been used by French writers earlier.
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The following are the distances (in miles) to the nearest airport for 14 families.
13, 14, 19, 21, 21, 22, 26, 28, 34, 35, 36, 41, 43, 44
Notice that the numbers are ordered from least to greatest.
Give the median, lower quartile, and upper quartile for the data set.
(a) Median:
(b) Lower quartile:
(c) Upper quartile:
Answers
Lower quartile=21
Upper quartile= 36
help will give brainliest
Answers
Answer:
20+2=22
Step-by-step explanation:
When you go down by 2, then use the Inverse Operation to add it up.
Study these equations:
f(x) = 2x - 4
g(x) = 3x + 1
What is h(x) = f(x)g(x)?
O h(x) = 6x2 – 10x - 4
O h(x) = 6x2 – 12x - 4
O h(x) = 6x2 + 2x - 4
O h(x) = 6x2 + 14x + 4
Answers
Answer:
A. h(x) = 6x2 – 10x – 4
Step-by-step explanation:
Got 100% on edge.
The value of h(x) is h(x) = 6x^2 -10x + 4
How to determine the composite function?The functions are given as:
f(x) = 2x - 4
g(x) = 3x + 1
So, we have:
h(x) = f(x)g(x)
This gives
h(x) = (2x - 4) * (3x+ 1)
Evaluate
h(x) = 6x^2 + 2x - 12x - 4
This gives
h(x) = 6x^2 -10x + 4
Hence, the value of h(x) is h(x) = 6x^2 -10x + 4
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2p + 5 + 3p = 6p +9
Pleaseee help and can you show work if you can
Answers
Answer:
Step-by-step explanation:Combine like terms:
2p+3p+5=6p+9
5p+5=6p+9
5p+5=6p+9
5 9
5p=6p+4
5p=6p+4
6p 6p
p=-4
In the town of Centralburg (Figure 1), which is laid out in a uniform block grid, the grocery store is three blocks East and four blocks North of the post office. Which of the following is a correct equation for the quantities represented in this scenario?
Answers
Answer:
tan(θ)= dn/de
θ=arctan(dn/de)
Step-by-step explanation:
Help will give Brainly points
Answers
Answer:
(D
Step-by-step explanation:
Calculator in the picture below.
kiniwih426
An ice cream cone with a diameter of 2 inches and a height of 3.5 inches is filled with ice cream and more ice cream on top in the form of a hemisphere with the radius equal to the radius of the cone. Compute the total volume of ice cream it contains.
Answers
Answer:
11pi/6 in^3 or
5.760 in^3 to the nearest thousandth.
Step-by-step explanation:
Volume of ice cream = volume of the cone + volume of the hemisphere
= 1/3 pi r^2 h + 1/2 * 4/3 pi r^3
= 1/3 pi 1^2 * 3.5 + 2/3 pi 1^3 (as the radius = 1/2 * diameter)
= (7/6 + 2/3) pi
= 11pi/6 in^3.
Which of the following best describes the lines y-3x=4x and 6-2y=8x
○perpendicular
○parallel
○skew
○intersecting
Answers
Answer:
Intersecting (fourth answer choice)
Step-by-step explanation:
If the lines are perpendicular, parallel, or intersecting, they are not skew. Thus, we need to check if the lines can be classified as either perpendicular, parallel, or intersecting first. If the lines are classified as neither, then they are skew.First, let's convert both lines to slope-intercept form, whose general equation is y = mx + b, where
m is the slope,and b is the y-intercept.Converting y - 3x = 4x to slope-intercept form:
(y - 3x = 4x) + 3x
y = 7x
Thus, the slope of this line is 7 and the y-intercept is 0.
Converting 6 - 2y = 8x to slope-intercept form:
(6 - 2y = 8x) - 6
(-2y = 8x - 6) / -2
y = -4x + 3
Thus, the slope of this line is -4 and the y-intercept is 3.
Checking if y = 7x and y = -4x + 3 are perpendicular lines:
The slopes of perpendicular lines are negative reciprocals of each other.We can show this in the following formula:
m2 = -1 / m1, where
m1 is the slope of one line,and m2 is the slope of the other line.Thus, we only have to plug in one of the slopes for m1. Let's do -4.
m2 = -1 / -4
m2 = 1/4
Thus, the slopes 7 and -4 are not negative reciprocals of each other so the two lines are not perpendicular.
Checking if y = 7x and y = -4x + 3 are parallel lines:
The slopes of parallel lines are equal to each other.
Because 7 and -4 are not equal, the two lines are not parallel.
Checking if the lines intersect:
The intersection point of two lines have the same x and y coordinate. To determine if the two lines intersect, we treat them like a system of equations.Method to solve the system: Elimination:
We can multiply the first equation by -1 and keep the second equation the same, which will allow us to:
add the two equations, eliminate the ys, and solve for x:-1 (y = 7x)
-y = -7x
----------------------------------------------------------------------------------------------------------
-y = -7x
+
y = -4x + 3
----------------------------------------------------------------------------------------------------------
(0 = -11x + 3) - 3
(-3 = -11x) / 11
3/11 = x
Now we can plug in 3/11 for x in y = 7x to find y:
y = 7(3/11)
y = 21/11
Thus, x = 3/11 and y = 21/11
We can check our answers by plugging in 3/11 for x 21/11 for y in both y = 7x and y = -4x + 3. If we get the same answer on both sides of the equation for both equations, the lines intersect:
Checking solutions (x = 3/11 and y = 21/11) for y = 7x:
21/11 = 7(3/11)
21/11 = 21/11
Checking solutions (x = 3/11 and y = 21/11) for y = -4x + 3:
21/11 = -4(3/11) + 3
21/11 = -12/11 + (3 * 11/11)
21/11 = -12/11 + 33/11
21/11 = 21/11
Thus, the lines y = 3x = 4x and 6 - 2y = 8x are intersecting lines (the first answer choice).
This also means that lines are not skew since lines had to be neither perpendicular nor parallel nor intersecting to be skew.
Could anybody help me out with this?
I would really appreciate it! (Algebra Problem)
Answers
Answer:
44
Step-by-step explanation:
You substitute 9 for x and then work it out following the order of operations.
f(9) = | 1-5(9) |
= | 1-45 |
= | -44 |
= 44
Answer: 44
Step-by-step explanation:
Genesis is older than Dylan. Their ages are consecutive integers. Find Genesis's age if
the product of their ages is 110.
(ill give brainliest )
Answers
Answer:
Dylan is 10 years old, and Genesis is 11.
Step-by-step explanation:
If Genesis and Dylan's age are consecutive integers, and Genesis is older, we can represent their ages as:
Dylan's age: x
Genesis' age: x+1
This would mean Genesis is a year older than Dylan.
The product of their ages is 110.
We can write an equation:
x×(x+1)=110
x²+x=110 (Distribute x)
x²+x-110=0 (Move 110 to the other side)
You can solve this by the quadratic equation, by factoring or by completing the square
I'll solve it by the quadratic equation:
We must first find the coefficients a, b and c, and then plug it into the formula.
\(x = \frac{ - 1 + - \sqrt{ {1}^{2} - 4 \times 1 \times - 110} }{2 \times 1} \\ x = \frac{ - 1 + - \sqrt{1 + 440} }{2} \\ x = \frac{ - 1 + - 21}{2} \)
Since we have a ± symbol, we get 2 real solutions, x1 and x2.
x=-1±21/2
x1=-1+21/2
x1=20/2
x1=10
x2=-1-21/2
x2=-22/2
x2=-11
Since their age can't be negative, x2 can't be a solution, so Dylan's age must be 10, and Genesis' age must be 11.
Hope this helps, and let me know if you need help with another method to solve this problem!