Mishal and Aneta are addressing envelopes. Mishal got 15 envelopes done yesterday and can address 2 a minute. Aneta can address 3 in a minute and had finished 2 yesterday.
1) Find the equation that represents the total number of envelopes Mishal addresses.
2) Find the equation that represents the total number of envelopes Aneta addresses.
3) How many minutes until Aneta has 20 envelopes addressed in total?
4) How many total envelopes will Mishal have addressed after half an hour?
Answers
The equations and responses for the puzzle are;
1) The total number of envelopes Mishal addresses is; y = 2·x + 15
2) The total number of envelopes Aneta addresses is; y = 3·x + 2
3) In 20 minutes, Aneta addresses 6 envelopes
4) In half an hour, Mishal addressed 75 envelopes
What is an equation?An equation is a statement in mathematics that consists of two expressions joined together with an equals to sign.
The number of envelopes Mishal addressed yesterday = 15
The number of envelopes Mishal addresses every minutes = 2 envelopes;
The equation that indicates the number of envelopes, y, Mishal addresses after x, minute is therefore;
y = 2·x + 152) The number of envelopes Aneta addresses per minute = 3 envelopes
The number of envelopes Aneta addressed yesterday = 2 envelopes
The equation that represents the number of envelopes, y, Aneta addresses in x minutes is therefore;
y = 3·x + 23) The time x it will take Aneta to address 20 envelopes is therefore;
y = 20
20 = 3·x + 2
x = (20 - 2)/3 = 6
It will take Aneta 6 minutes to address 20 envelopes in total4) The number of minutes in half an hour = 30 minutes
The equation that indicates the number of envelopes Mishal addresses, y = 2·x + 15, can be used to find the number of envelopes Mishal addresses in x = 30 minutes as follows;
y = 2 × 30 + 15 = 75
The total number of envelopes Mishal addresses in half an hour (30 minutes) 30 minutes is 75 envelopes.
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Related Questions
a company owns two dealerships, both of which sell cars and trucks. the first dealership sells a total of 164 cars and trucks. the second dealership sells twice as many cars and half as many trucks as the first dealership, and sells a total of 229 cars and trucks. an equation for the total cars and trucks for dealership a: an equation for the total cars and trucks for dealership b: how many cars did dealership a sell? how many trucks did the dealership b sell?
Answers
a) An equation for the total cars and trucks for the dealership is y = 2x + 0.5y = 229. b) Dealership B did not sell any cars and Dealership A sold 164 cars.
Let's say that the number of cars and trucks sold by dealership A is 'x', and the number of cars and trucks sold by dealership B is 'y'.
An equation for the total cars and trucks for dealership A is:x = 164
An equation for the total cars and trucks for dealership B is:
y = 2( cars sold by A) + 0.5 (trucks sold by A)
y = 2x + 0.5y = 229
Now, we need to solve the above two equations to find the value of 'x' and 'y'.
Substituting the value of 'x' from the equation for dealership A into the equation for dealership B: y = 2(164) + 0.5y = 328 + 0.5y
Now, subtract 0.5y from both sides:
0.5y = 229 - 3280.5y = -99y = -99/0.5 = -198
Therefore, dealership B did not sell any cars or trucks as the value of 'y' is negative.
However, we can find the number of cars dealership A sold by substituting the value of 'x' into the equation for dealership A: x = 164
Therefore, dealership A sold 164 cars.
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Find the absolute extreme values of the function on the interval. F(x)=3x,−1≤x≤27 absolute maximum is 3 at x=27; absolute minimum is 0 at x=0 absolute maximum is 0 at x=0; absolute minimum is 3 at x=27 absolute maximum is 3 at x=−27; absolute minimum is 0 at x=0 absolute maximum is 3 at x=27; absolute minimum is −3 at x=−27
Answers
Given function is `f(x) = 3x` where `-1 ≤ x ≤ 2`.We need to find the absolute extreme values of the function on the interval.
Absolute maximum is the highest point on the graph of the function and the absolute minimum is the lowest point on the graph of the function.
For the given function `f(x) = 3x`, the interval is `[-1, 2]` which means `x` can be `-1, 0, 1 and 2`. Substituting these values, we get:`f(-1) = -3``f(0) = 0``f(1) = 3``f(2) = 6`
Therefore, the absolute maximum is 6 at x = 2 and the absolute minimum is -3 at x = -1. Thus, the correct option is: absolute maximum is 6 at x=2; absolute minimum is −3 at x=−1.
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A seventh-grade class is playing the Integer Game modified to include rational numbers. Write a multiplication or division equation to answer the following questions with reference to the Integer Game. Show all of your work.
a. Tobias removes three —3.25 cards from his hand. How does this affect the overall point value of the cards in his hand?
The point value of the cards in Tobias' hand will increase.
The point value of the cards in Tobias' hand will decrease.
b. The cards in Iman's hand had a value of 2.75, but then she added five -1.5 cards to her hand. What is the new value of the cards in her hand?
Answers
A blouse require 1 ¼ m of cloth, how many blouses can be made from 21 m of cloth
A. 12
B. 14
C. 16
D. 18
Answers
Answer:
C. 16
Maaf Kalo Salah Y Maaf Ya Lama Cape Itung di
There are 30 giraffe and 6 penguin at the zoo. Which tatement correctly compare the two quantitie?
Answers
To compare the two quantities, divide the number of giraffes by the number of penguins There are 5 times as many giraffes as penguins at the zoo.
To compare the two quantities, you need to divide the number of giraffes by the number of penguins.
30 giraffes / 6 penguins = 5
This means that there are 5 times as many giraffes as penguins at the zoo.
There are 5 times as many giraffes as penguins at the zoo. To compare the two quantities, divide the number of giraffes by the number of penguins (30/6 = 5). This means that there are 5 times more giraffes than penguins at the zoo.
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lucy buy 7kg of nuts to sell
Answers
Answer:
lucy buy 7kg nuts for 10rs
and she is selling them for 75p each bag which contains 350grams of nuts
now we have to find number of bags=7000grams (7kg converted into grams)÷350grams=20bags
now we have to find the profit= 20×75p=15rs
profit=10-15=5
profit percentage=profit/cp×100
= 5/10×100=50%of profit
Step-by-step explanation:
Which of the following is the solution to the equation 10/3=8/x
A)1 7/8
B)2 2/5
C)2 3/4
D)3 1/3
please show worrk
Answers
Explanation: use the cross over method to get 24=10x, then solve to get 2.4. 2.4 as a fraction is 2 2/5 which is your answer.
Find the population mean or sample mean as indicated. Sample: 15, 8, 9, 7, 16 B The sample mean is Find the population mean or sample mean as indicated. Sample: 15, 8, 9, 7, 16 B The sample mean is
Answers
The given data sample: 15, 8, 9, 7, 16To find:The sample mean formula for the sample mean is given below
Sample mean = (sum of all observations) / (total number of observations)Here, the total number of observations is 5.Sample mean = (sum of all observations) / (total number of observations) = (15+8+9+7+16)/5 = 55/5 = 11Therefore, the sample mean is 11.Answer: The sample mean is 11.
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A golf ball is hit from the ground with an initial speed of 192 feet per second. assume the starting height of the ball is 0 feet. how long will it take the golf ball to hit the ground?
Answers
It will take the golf ball 12 seconds to hit the ground using the kinematic equation for vertical motion.
To determine the time it takes for the golf ball to hit the ground, we can use the kinematic equation for vertical motion:
\(h = ut + (1/2)gt^2\)
Where:
h is the height (0 feet, as the ball is on the ground)
u is the initial velocity (192 feet per second)
g is the acceleration due to gravity (-32 feet per second squared, considering downward direction)
t is the time we want to find
Plugging in the given values, we get:
\(0 = (192)t + (1/2)(-32)t^2\)
Simplifying the equation, we have:
\(-16t^2 + 192t = 0\)
Factoring out t, we get:
t(-16t + 192) = 0
Setting each factor equal to zero, we have:
t = 0 (not applicable in this case)
-16t + 192 = 0
Solving for t, we get:
-16t = -192
t = 12
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The time it takes for the golf ball to hit the ground is approximately 11.92 seconds.
The time it takes for the golf ball to hit the ground can be determined using the equation of motion. We can use the formula:
h0 = 0
v0 = 192
g = 32.2
a = 16.1
b = 192
t1 = 0
t2 = -b / a
t(-16t + 192) = 0
Setting each factor equal to zero, we have:
t = 0 (not applicable in this case)
-16t + 192 = 0
Solving for t, we get:
-16t = -192
t = 12
t2 >= 0:
time_to_hit_ground = t2
time_to_hit_ground = t1
The time it takes for the golf ball to hit the ground is approximately", round(time_to_hit_ground, 2 seconds.
The time it takes for the golf ball to hit the ground is approximately 11.92 seconds.
Since time cannot be negative in this context, we discard the negative solution. Therefore, the time it takes for the golf ball to hit the ground is approximately 11.92 seconds.
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In the figure below, g || 1. Find the values of y and x.
Answers
Answer:
x = 26 degrees.
y = 106 degrees.
Step-by-step explanation:
3x - 4 = 74 (exterior alternate angles).
3x = 78
x = 26.
y = 180 - 74 = 106.
the model, you have the form information: production labor and capital. production labor and capital. Home has 5,000 units of labor available and 10,000 units of capital available. The unit labor requirement in Good A production is 2, while in Good B production it is 1. Unit capital requirement in Good A is 2 and in Good B is 5. Good A is the laborintensive product, and Good B is the capital-intensive product. a. Specify the maximum quantities of both goods using the labor and capital constraints. Graph Home's production possibility frontier after graphing the labor and capital constraints. Identify the slope value of the labor and capital constraints. b. Suppose labor supply increased at Home, specify the effect this has on the economy's production possibility frontier and graph it. Identify the good that will increase in production. c. Suppose wages of labor increased at Home, identify the price of which good will be affected.
Answers
A. With 10,000 units of capital, Home can produce a maximum of 2,000 units of Good B (B). The maximum quantity of Good A that can be produced will increase, while the maximum quantity of Good B will remain unchanged. (C). The price of Good B, which is capital-intensive, will not be directly affected by the increase in labor wages.
a. To determine the maximum quantities of both goods, we need to consider the labor and capital constraints. Home has 5,000 units of labor and 10,000 units of capital available. For Good A, the unit labor requirement is 2 and the unit capital requirement is 2. So, with 5,000 units of labor, Home can produce a maximum of 2,500 units of Good A. Similarly, with 10,000 units of capital, Home can produce a maximum of 5,000 units of Good A. For Good B, the unit labor requirement is 1 and the unit capital requirement is 5. So, with 5,000 units of labor, Home can produce a maximum of 5,000 units of Good B. Similarly, with 10,000 units of capital, Home can produce a maximum of 2,000 units of Good B. The production possibility frontier (PPF) represents the maximum combination of goods that can be produced given the available resources. To graph Home's PPF, we plot the maximum quantities of both goods on a graph. The labor constraint represents the maximum quantity of Good A produced and the capital constraint represents the maximum quantity of Good B produced. The slope value of the labor constraint is -2, and the slope value of the capital constraint is -0.4 (calculated as 1/2.5).
b. If labor supply increases at Home, this means there are more units of labor available for production. As a result, the labor constraint will shift outward, allowing for the production of more Good A. The maximum quantity of Good A that can be produced will increase, while the maximum quantity of Good B will remain unchanged.
c. If wages of labor increase at Home, it will affect the price of Good A. Since Good A is labor-intensive, an increase in labor wages will lead to an increase in the cost of producing Good A. This increase in production costs will likely result in an increase in the price of Good A. The price of Good B, which is capital-intensive, will not be directly affected by the increase in labor wages.
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What is the equation that can be used to find a percent of a number?
Answers
Answer:
Percent · Base = Amount.
Step-by-step explanation:
Use n for the unknown (percent).
Divide to undo the multiplication of n times 72.
Move the decimal point two places to the right to write the decimal as a percent.
Hope this helps!(:
Answer:
part = percent • whole
Step-by-step explanation:
a hiker begins at 3000ft above sea level and takes a break at 2200 feet above sea level. what is the hikers change in elevation
Answers
Answer:
800
Step-by-step explanation:
3000 feet minus 2200 feet is 800 feet
how do you solve a quadratic equation with no A do you replace the A with a 0?
Answers
Answer:
yes
Step-by-step explanation:
Find the product. Simplify your answer. 4(–4n2–n–1)
Answers
Answer:
−16n² −4n −4
Step-by-step explanation:
=(4)(−4n²+−n+−1)
=(4)(−4n²)+(4)(−n)+(4)(−1)
=−16n² −4n −4
Find the distance between the two points.
(-4,1)
(2,0)
✓ [?]
Enter the number that
goes beneath the
radical symbol.
Please help me find the Radical
![Find the distance between the two points.(-4,1)(2,0) [?]Enter the number thatgoes beneath theradical](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/LV7LdZWKJAOqzxEuwXho8ZA4CuJ5FQlp.png)
Answers
Answer:
\(approxmatly \: = 6\)
Answer:
√ [37]
Step-by-step explanation:
I'll be calling the first point, A,
being A(-4,1) ; B(2,0)
For the distance: d(A,B) = √(xB - xA)² + (yB - yA)² ⇔
⇔ d(A,B) = √(2+4)² + (0-1)² = √6² + 1² = √36 + 1 = √37
Three vertices of quadrilateral ABCD are A(-4,3), B(-1,5), and D(4,-1), as shown below.
In order for ABCD to be a parallelogram, what must be the coordinates of point C?
A. (-1, -7)
B. (1.5, 2)
C. (2, -4)
D. (7, 1)
Answers
Answer:
my answer is letter c thats may answer
Use indirect truth tables to answer the following problems.
Given the argument:
Q ∨ ∼ S / ∼(N • A) / S ∨ A / (P • N) ∨ (G • Q) // P • G
This argument is:
a. Uncogent.
b. Sound.
c. Valid.
d. Invalid.
e. Cogent.
Answers
There exists a row where all the premises are true but the conclusion is false, the argument is invalid. Therefore, the correct answer is: d. Invalid.
To determine the status of the argument using indirect truth tables, we need to construct a truth table and evaluate the argument's validity.
We assign truth values to the propositions: Q, S, N, A, P, and G. We consider all possible combinations of truth values and evaluate the truth value of each statement in the argument.
Using indirect truth tables, we construct the following truth table:
Q | S | N | A | P | G | ∼ S | ∼(N • A) | S ∨ A | (P • N) ∨ (G • Q) | P • G
------------------------------------------------------------------------
T | T | T | T | T | T | F | F | T | T | T
T | T | T | T | T | F | F | F | T | T | F
T | T | T | T | F | T | F | F | T | T | F
T | T | T | T | F | F | F | F | T | F | F
... (continued for all possible combinations)
We can see that there is at least one row in the truth table where all the premises are true and the conclusion is false. Specifically, when Q = T, S = T, N = T, A = T, P = F, and G = F, the premises are true (Q ∨ ∼S, ∼(N • A), S ∨ A, (P • N) ∨ (G • Q)), but the conclusion (P • G) is false.
Since there exists a row where all the premises are true but the conclusion is false, the argument is invalid.
Therefore, the correct answer is:
d. Invalid.
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Work out the size of angle x
Answers
Answer:
104 degrees
Step-by-step explanation:
90 + 54 + 132 = 276
360 - 276 = 104
solve the system of equations algebraically -5x+2y=4 2x+3y=6
Answers
(2x+3y=6).5
-10x+4y=8
10x+15y=30
[10x+(-10x)]+[15y+4y]=[30+8]
19y=38
y=38/19
y=2
2x+3y=6
2x+3(2)=6
2x=6-6=0
x=0
Step-by-step explanation:
-5x+2y= 4 <==== Multiply entire equation by -3 to get:
15x-6y = -12
2x+3y= 6 <==== Multiply entire equation by 2 to get :
4x+6y = 12 Add the two underlined equations to eliminate 'y'
19x = 0 so x = 0
sub in x = 0 into any of the equations to find: y = 2
(0,2)
A business has $11,080 to spend on new laptops and tablet computers for its salespeople. The laptops cost $515 each. The tablets cost $285 each. The business wants each salesperson to have either a laptop or a tablet. There are 30 salespeople. Create a system of equations that models how many of each type of computer the business should buy.
a. 515x + 285y = 11,080
x + y = 30
b. 515x + 285y = 30
x + y = 11,080
c. 515x + y = 30
x + 285y = 11,080
d. x + 285y = 30
515x + y = 11,080
Answers
Find the arc length parameter along the curve from the point where t0 by evaluating the integral . Then find the length of the indicated portion of the curve. r(t)
Answers
The length of the indicated portion of the curve is 8.831t.
What is a perimeter in math?
Perimeter is the distance around the edge of a shape. Learn how to find the perimeter by adding up the side lengths of various shapes.You have the following vector:
r(t) =( 4+ 5t, 8 + 2t , 2 - 7t)
To find the arc length you use the following formula
\(L = \int\limits^b_a \sqrt{(\frac{dx}{dt}) ^{2} +( \frac{dy}{dt}) ^{2} } + (\frac{dz}{dt}) ^{2} dt\)
where dx/dt, dy/dt and dz/dt are the components of the vector dr/dt.
Then, you calculate dr/dt
\(\frac{dr}{dt} = ( 5, 2 , -7)\)
Next you replace in the integral of the equation (1)
\(L = \int\limits^t_0 \sqrt{5^{2} + 2^{2} + (-7)^{2} } = 8.831t\)
hence, the arc length is L = 8.831t
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The complete question is -
Find the arc length parameter along the curve from the point where t=0 by evaluating the integral s= V(T) dt. Then find the length of the indicated portion of the curve.
r(t) = (4 + 5t)i + (8 + 2t)j + (2 - 7t)k, -1sts
Factor the expression using the GCF: (42 + 12 ) = __ ( __+ __ )
Answers
Answer:
2
Step-by-step explanation:
Answer:
6(7+2) hope this helps
Step-by-step explanation:
(42 + 12 )
= 6(7+2)
a car tire has a radius of 10.4 inches what distance will the tire travel after 20 rotations
Answers
Answer:
is A
Step-by-step explanation:
Kevin makes muffins. It takes 8 minutes to mix the batter. The muffins bake for 17 minutes. The muffins then cool for 5 minutes. What is the total amount of time, in minutes, Kevin spends mixing, baking, and cooling the muffins? Enter your answer in the box. minutes
Answers
Answer: THE TOTAL AMOUNT TAKEN BY KEVIN IN MIXING, BAKING, AND COOLING THE MUFFINS IS 30 MINUTES.
Step-by-step explanation:
1. AMOUNT TAKEN BY KEVIN FOR MIXING=8MIN.
2. AMOUNT TAKEN BY KEVIN FOR BAKING=17 MIN.
3. AMOUNT TAKEN BY KEVIN FOR COOLING=5MIN.
IN TOTAL, (8+17+5)MIN. = 30 MIN.
Answer:
30 minutes
Step-by-step explanation:
8+7 =15 +5=20+ another 10 = 30
A frying pan has a circumference of 43.96 centimeters What is the radius of the frying pan? Use 3.14 for
centimeters
I need help can some help me with the answer please and thank
Answers
Answer:
7
Step-by-step explanation:
43.96 divided by 3.14= 14 (diameter)
14 divided by 3= 7 (radius)
Please help! Thank you
Answers
Answer:
(a) 1:12
(b) 12:1
(c) 1:100
(d) 100:1
Identify the equation that has a slope of -3 and a y-intercept of -9.
y = 3x + 9
y = -9x - 3
y = 9x + 3
y = -3x - 9
Answers
Answer:
y = -3x - 9
Step-by-step explanation:
y=mx+b
^ That is the slope intercept form
M - Slope
Y - Y value
X - X value
B - Y intercept
We know that the slope is -3 and the y intercept is -9, so the equation should be:
y = -3x - 9 (The fourth answer)
3) When Jackie took her children to the movie theater, she bought one box of candy and three small drinks for
$14.75. When Alex went to the same theater and bought two boxes of candy and five small drinks, he paid
$26.
a) Set up a system of equations to model this situation. Be sure to define the variables that you use.
b) Determine, algebraically, the cost for one box of candy and one small drink
Answers
Answer:
c + 3d = 14.75
2c + 5d = 26
A box of candy is $4.25 and a drink is $3.50
Step-by-step explanation:
Let c represent the cost of a box of candy and let d represent the cost of a drink
c + 3d = 14.75
2c + 5d = 26
Solve by elimination by multiplying the top equation by -2
-2c - 6d = -29.5
2c + 5d = 26
Add them together
-d = -3.5
d = 3.5
Plug in 3.5 as d into one of the equations to solve for c
c + 3d = 14.75
c + 3(3.5) = 14.75
c + 10.5 = 14.75
c = 4.25
So, a box of candy is $4.25 and a drink is $3.50
Which of the following is not & characteristic of the t test? Choose the correct answer below: The Student t distribution has mean of t = 0 and a standard deviation of 5 = 1. The Student t distribution has the same general bell shape as the standard normal distribution_ The " Student t distribution is different for different sample sizes. The test is robust against - departure from normality:
Answers
The option that is not characteristic of the t-test is "The Student t distribution has mean of t = 0 and a standard deviation of 5 = 1". The correct answer is option A.
The t-test is a statistical test that uses the Student t-distribution. The Student t-distribution has a mean of 0, but its standard deviation is not equal to 1. The standard deviation of the t-distribution varies depending on the degrees of freedom, which is determined by the sample size. Therefore, the statement in option A is not true. The correct answer is option A.
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