Answer: y=2/5x+b
Step-by-step explanation:
You and your friend share a paper route. You can deliver 4 papers in one minute and your friend can deliver 3 papers in one minute. Seventy-five papers have to be delivered each day on the route. Let n be the number of papers you deliver. A) use the verbal model to write an equation that you can use to find out how long it will take the two of you working together to deliver the papers.
Answer:
[tex]n\times \frac{1}{4}+(75-n)\times \frac{1}{3}[/tex]
Step-by-step explanation:
Given that:
4 papers are delivered by first person in one minute.
Rate of delivering one paper
or
Time taken to deliver one paper can be calculated by the formula:
[tex]\dfrac{\text{Total Time taken}}{\text{Number of papers delivered}}[/tex]
Time taken to deliver one paper by first person = [tex]\frac{1}{4}[/tex]
3 papers are delivered by second person in one minute.
Time taken to deliver one paper by second person = [tex]\frac{1}{3}[/tex]
Total number of papers = 75
Number of papers delivered by first person = [tex]n[/tex]
So, number of papers delivered by second person = ([tex]75-n[/tex])
Time taken to deliver [tex]n[/tex] newspapers = Number of newspapers delivered multiplied by Time taken to deliver one newspaper
Time taken by first person = [tex]n\times \frac{1}{4}[/tex]
Time taken by second person = [tex](75-n)\times \frac{1}{3}[/tex]
So, Total time taken can be written as:
[tex]n\times \frac{1}{4}+(75-n)\times \frac{1}{3}[/tex]
joe and his friends watched a total of 41 movies this past year. if a typical movie lasts approximately 2 hours then which of the following quantities is an appropriate representation of the number of minutes joe and his friends spent watching movies
the number of minutes joe and his friends spent watching movies are 4920 minutes.
What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that joe and his friends watched a total of 41 movies this past year. if a typical movie lasts approximately 2 hours.
Assume that the number of minutes joe and his friends spent watching movies is given by [x]. Then, we can write -
[x] = 41 x 2 x 60
[x] = 41 x 120
[x] = 4920 minutes.
Therefore, the number of minutes joe and his friends spent watching movies are 4920 minutes.
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round 18.238 to the nearest tenth
Answer:
18.2
Step-by-step explanation:
Since the hundreds place is less than 5, it stays the same.
Answer:
18.2, haven't done this for a while now, but I think that should be correct :)
I need help with this pls help
Answer:
Step-by-step explanation:
A scientist needs 10 liters of a 20% acid solution for an experiment, but she has only a 5% solution and a 40% solution. To the nearest tenth of a liter, about how many liters of the 5% and the 40% solutions should she mix to get the solution she needs? Write and solve an equation to match the situation.
Answer:
5% solution needed = 5.7 liters
40% solution needed = 4.3 liters
Step-by-step explanation:
Let the amount of 5% solution is needed = x liters
And the amount of 40% solution is needed = y liters
Concentration of the final solution = 20%
5x + 40y = 20(x + y)
x + 8y = 4(x + y)
4y = 3x
x = [tex]\frac{4}{3}y[/tex] -------(1)
Total volume of the final solution needed = 10 liters
Therefore, x + y = 10 --------(2)
Now substitute the value of x from equation (1) to equation (2).
[tex]\frac{4}{3}y+y=10[/tex]
[tex]\frac{7}{3}y=10[/tex]
y = 4.3 liters
From equation (2),
x + 4.3 = 10
x = 5.7 liters
If 4 pounds of bologna cost $5.04, how much will it cost
per pound?
Answer:
$1.26
Step-by-step explanation:
To get the cost of one pound you need to divide the cost of 4 pounds by 4.
5.04/4=1.26
$1.26 per pound.
Após recuperar-se de uma cirurgia, o treinador da corredora Andrea estipulou um plano de treinamento diário: correr 500 metros no primeiro dia e aumentar 200 metros por dia, a partir do segundo, até que ela atinja 10 km. Andrea pretende correr 10 km na maratona do Rio de Janeiro, no início do próximo ano. Em quantos dias de treinamento Andrea atingirá 10 km?
Explicación paso a paso:
La distancia recorrida el primer día = 500 m
Si aumenta la distancia en 200 m diariamente, entonces el total corrido diariamente formará una progresión aritmética con el último término de 10 km (10,000) como se muestra;
500, (500 + 200), (500 + 200 + 200) ... 10,000
500, 700, 900 ... 10,000
para que sepamos el número total de días usados para la carrera, usaremos la fórmula para calcular el enésimo término de una secuencia aritmética como se muestra;
[tex]T_n = a+(n-1)d[/tex] where;
n es el número de términos
a es el primer término de la secuencia
d es la diferencia común
Dado a partir de la secuencia:
a = 500
Tn = 10,000
d = 700-500 = 900-700 = 200
Sustituir en la fórmula y calcular el valor de n
[tex]10,000 = 500+(n-1)*200\\10,000 = 500+(200n-200)\\10,000 = 500-200+200n\\200n = 10,000-300\\200n = 9,700\\n = 9,700/200\\n = 48.5[/tex]
Andrea habría alcanzado los 10.000km tras 48,5 días de carrera
if the weight of an object is 900 newton what is its mass. plz tell answer fast I will mark you as the brainlest.
≈ 92 kg
Step-by-step explanation:Hi there !
w = m×g => m = w/g
g = 9.8m/s² = 9.8m·s⁻²
w = 900N = 900kg⋅m⋅s⁻²
m = 900kg⋅m⋅s⁻²/9.8m·
= 91.83 kg
≈ 92 kg
Good luck !
If a number has no pulse or minus sign, does that mean it’s usually a positive or negative number?
Answer:
positive
Step-by-step explanation:
Answer:
It means it is usually positive
Step-by-step explanation:
The positive sign is invisible if it is at the beginning of an equation number, if it is moved to the other side of the equal sign, than it turns the opposite charge. Hope this answers your question :)
There are two other ways to write this fraction.
−15/29
List them in the space below.
Answer:
-30/58 & -45/87
Step-by-step explanation:
The first answer is just multiplying the original by 2.
The second one is being multiplied by 3.
The multiplicated moves DO NOT CHANGE THE VALUE OF THE ORIGINAL FRACTION, meaning that they are equivalent. :))
What is the equation of the line passing through the points (2, -1) and (5, -10) in slope intercept form
Answer:
-3x+5
Step-by-step explanation:
y2-y1/x2-x1
In the past month, Kaitlin rented 3 video games and 6 DVDs. The rental price for each video game was $2.60. The rental price for each DVD was $3.30. What is
the total amount that Kaitlin spent on video game and DVD rentals in the past month?
Kaitlin rented 3 video games and 6 dvds.
2.60 x 3 = 7.50 (dollars and cents)
3.30 x 6 = 19.80 (dollars and cents)
add them together to get the total cost in the past month.
(to find the answer you know the price for a single video game/DVD so what you do is multiply those prices times how much they bought)
ex: $2.60 x 3 <-- the amount of games she bought.
i hope this helps you.
Answer:
Kaitlin spent $27.60 on video games and DVDs in the past month.
Step-by-step explanation:
We know the price of one video game, one DVD, and the amount that was rented in the past month.
To find the total cost of the video games, multiply:
$2.60 x 3
= $7.80 spent on video games in the past month
To find the total cost of the DVDs, multiply:
$3.30 x 6
= $19.80 spent on DVDs in the past month
To find the total cost, add the total cost of video games and DVDs together:
$7.80 + $19.80 = $27.60
Conclusion: Kaitlin spent $27.60 in the past month on video games and DVDs.
Find three consecutive odd integers whose sum is -45. Find the largest
integer
x = the first integer.
x + 2 = the second integer.
x + 4 = the third integer.
x + x + 2 + x + 4 = -45
Combine like terms.
3x + 6 = -45
Subtract 6 from both sides.
3x = -51
Divide both sides by 3
x = -17
x + 2 = -17 + 2 = -15
x + 4 = -17 + 4 = -13
The largest integer is -13
HELP GEOMETRY TRIANGLES
Answer:
x=21
Step-by-step explanation
Which of the equations is graphed below?
A.) Y=X
B.) Y=2X
C.) Y=-2X
D.) Y=-X
Answer:
y = -x
Step-by-step explanation:
it is negative slope so -x
would you rather drive a car at the rate of 40 kilometers per hour or drive a car at a rate of 15 meters per second, and why? which one is correct
Answer: 15 meters per second
Step-by-step explanation: Kilometers are 1,000 times larger than meters
Maggie needs to spend at least six hours each week practicing the piano. She has already practiced three and one fourth hours this week. She wants to split the remaining practice time evenly between the last two days of the week. Write an inequality to determine the minimum number of hours she needs to practice on each of the two days.
WILL GIVE BRAINIEST IF RIGHT :)
A three and one fourth + 2x ≤ 6
B three and one fourth + 2x ≥ 6
C three and one fourthx + 2 ≤ 6
D three and one fourthx + 2 ≥ 6
Answer:
option 2 is correct-three and one fourth + 2x ≥ 6.
URGENT!!!! What are the x and y-intercepts of the line described by the equation?
2x – 6y = 30
Enter your answers in the boxes.
Answer:
(15,0)
(0,−5)
Step-by-step explanation:
Plug y=0 into the equation and solve the resulting equation 2x=30 for x
The x and y intercepts of the equation of line 2x – 6y = 30 are;
x-intercept = (15, 0)
y - intercept = (0, -5)
In graphs, the x - intercept is the point where y = 0. Similarly, the y - intercept is the point where x = 0.
We are given the equation of line as;
2x - 6y = 30
Thus, x-intercept, we will put y = 0;
2x - 6(0) = 30
2x = 30
divide both sides by 2 to get;
x = 30/2
x = 15
Thus, y-intercept, we will put x = 0;
2(0) - 6y = 30
0 - 6y = 30
-6y = 30
y = 30/-6
y = -5
In conclusion, the x and y intercepts respectively are (15, 0) and (0, -5)
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Caleb starting playing video games as soon as he got home from school. He played video games for 50 minutes. Then Caleb helped clean the kitchen for 1 hour. After the kitchen was clean, it took Caleb 1 hour and 55 minutes to finish his homework. When Caleb finished his homework, it was 7:40 P.M. What time did Caleb get home from school?
Answer:
Caleb had gotten home at 3:55 pm
Answer:
Caleb got home around 3:55
Step-by-step explanation:
The Esteban family will order one T-shirt for each person who attends their family reunion. The cost is $6.50 per T-shirt plus a one-time printing fee of $35.00. This can be represented by the equation c= 6.5n+35, where c represents the total cost of the shirts and n represents the number of shirts ordered. If the family can spend no more than $2,000.00 on T-shirts, what is the maximum number they can order?
Answer: 302
Step-by-step explanation:
x/-8 = -3
help!!! needed urgently
If x/ -8 = -3,
Just multiply by -8 on both sides.
x = 24
Hope this helps!
If x/ -8 = -3,
Just multiply by -8 on both sides.
x = 24
Hope this helps!
-13 (q + 4) = 7 q + 16
Answer:
q=3.4
Step-by-step explanation:
-13q+-52=7q+16
-52=20q+16
-68=20q
-68/20 is -3.4
What is faster? 15 meters per minute or 15 kilometers per hour?
Answer:
15 kilometers
Step-by-step explanation:
15 kilometers is in conversion with miles
Which linear function has the steepest slope?
A. y = negative 8 x + 5
B. y minus 9 = negative 2 (x + 1)
C. y = 7 x minus 3
D. y + 2 = 6 (x + 10)
Answer:
Step-by-step explanation:
Option A
Answer:
Option A
Step-by-step explanation:
If 3 (x + 2) – 2(x + 1) = 8
what is the value of x
Answer:
x=4
Step-by-step explanation:
x+4=8
x+4-4=8-4
x=4
A cube with 4 faces has a length of 4.5cm.find the total surface area
Answer:
81 cm square
Step-by-step explanation:
the answer is 121.5cm^2
How are lines KL and MN related?
O The lines intersect at point K.
O The lines are parallel.
O The lines are perpendicular.
O The lines do not have slopes,
The lines KL and MN perpendicular to each other.
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
here, we have,
If a line passes through two points, then the slope of the line is
m = y2-y1/x2-x1
From the given graph it is clear that coordinates of points on line KL are K(-8,2) and L(6,2).
The slope of line KL is
m = 0
The slope of line KL is 0, it means it is a horizontal line.
From the given graph it is clear that coordinates of points on line MN are M(-4,8) and N(-4,-6).
The slope of line MN is
m = 1/0
The slope of line MN is 1/0 or undefined, it means it is a vertical line.
We know that vertical and horizontal lines are perpendicular to each other.
Therefore the lines KL and MN perpendicular to each other.
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HELP I DONT HAVE MUCH TIME
Answer:
10 miles, 6 inches
Step-by-step explanation:
2.5 x 10
15/2.5
Evaluate the expression for x=5, y=-3 and z=7
x + y + z
Answer:
5
Step-by-step explanation:
(Refer to image)
Replace the numbers with the variables and solve using order of operations
Answer:
9
Step-by-step explanation:
convert all the value for x,y,z
5+-3+7
5+-3= 2+7 = 9
I used to decreased the negative 3 to 5 because of the sign negative attached beside the 3. but why the answer becomes to be positive 2? because the positive number which is 5 is greater than the negative 3 in the given.
I hope it helped you.
Pls help me ASAP PLS PLS PLS PLS PLS PLS ASAP
Answer:
The domain is the input value of x, which can be any real number.
There is no inequality.
Set notation x | E R. ( all real nUmbers)
Interval. Oration (-infinity, infinity)
Range: set x to 0 and solve:
3(0)^2 + 2 = 2
The lowest value is 2 and goes to infinity.
Inequality is >=
Set notation Y | >= 2
Interval notation : [2, infinity)
End behavior they both go to infinity .