Razi is filling bags with party favors for his birthday party. The table to the right shows the number of bags he still needs to fill after 4, 5, 6, and 7 minutes. If he is working at a constant rate, what was the initial number of party favor bags Razi had to fill? 36 48 52 56
Answers
Answer:52
Step-by-step explanation:.
By using the concept of the point-slope form of an equation,
The initial number of party favor bags Razi had to fill would be 52.
In this situation, the independent variable (x) is the amount of time in minutes.
The dependent variable (y) is the number of bags remaining.
Since he is working at a constant rate, this makes it a linear function.
In a linear function, the amount he had to fill, to begin with, is the y-intercept.
Since The point-slope form of the equation is,
y - y₁ = m(x - x₁)
First, we find the slope using the formula
m = (y₂-y₁)/(x₂-x₁)
m = (32-36)/(5-4)
m = -4/1
m = -4
Using this and the first point, we have
y - 36 = - 4(x - 4)
Using the distributive property, we have
y - 36 = -4(x)- 4(-4)
y - 36 = -4x--16
y - 36 = -4x + 16
Add 36 to each side:
y - 36 + 36 = -4x + 16 + 36
y = -4x + 52
So, for the initial number of party favor bags Razi had to fill;
Substitute x = 0;
y = - 4 (0)+ 52
y = 52
Hence,
The required initial number is 52.
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The missing table in the question is attached below.
Related Questions
Dan bought 1/8 of a pound of iellybeans and 7/8
pound Of gummy bears. How much candy did he buy?
Answers
Answer:
1 pound or 8/8
Step-by-step explanation:
1/8 + 7/8 = 8/8 or 1 pound
solve pls brainliest
Answers
Answer:
420
Step-by-step explanation:
300+40% equals 420 so he earned 420 last month from the commission
Answer:
$120
Step-by-step explanation:
A 40% commission means he earns 40% of the total revenue. That's 40% of $300 in this case.
To convert from a percentage to a multiplier, divide by 100:
[tex]\frac{40}{100} =0.4[/tex]
Then multiply the total revenue by that number:
[tex]300*0.4=120[/tex]
solve: 9x-7≤28+4x;x€W
Answers
we have 9x - 7 ≤ 28 + 4x
⇔9x - 4x ≤ 28 +7
⇔5x ≤ 35
⇔x ≤ 7
ok done. Thank to me :>
oletha rapples from the top of a cliff at a rate of -6 inches per second. It takes oletha 4 minutes to reach the bottom of the cliff. What is the height of the cliff in feet?
Answers
Answer:-120
Step-by-step explanation:multiply -6 by 60 seconds which it will give you -360 in inch’s and then multiply -360 into 4 and that’s -1440 and then combert them into -120
HELP 25 POINTS LIKE HELP SOLVE THIS ASAP!!!
Answers
Answer:
nahhhh why did you report me I did nun wrong
Step-by-step explanation:
If x+4 Is a Factor Of The Polynomial x³-x²-14x+24 ,Then Find Other Factors.
Answers
Answer:
(x - 3) and (x - 2)
Step-by-step explanation:
Using the method of long division to divide the polynomial by x + 4
x² - 5x + 6
-------------------------------
x + 4 | x³ - x² - 14x + 24
x³ + 4x²
---------------------------
- 5x² - 14x + 24
- 5x² - 20x
-------------------------------
6x + 24
6x + 24
--------------------------------
0 0
The quotient is x² - 5x + 6 = (x - 2)(x - 3)
x³ - x² - 14x + 24 = (x - 2)(x - 3)(x + 4) ← in factored form
|
please someone help. I really need help with this question. I will give brainliest
Answers
Answer:
3/200
Step-by-step explanation:
total medicine = 9/50 liter
evenly divided into 12
so 1 prescription = 9/50 / 12
= 9/50*12
=3/50*4
=3/200
Keenan worked at an ice cream shop. One day, he counted the first 8
flavors requested. Here are the results:
Ice Cream Flavors
Count
Flavor
peach
3
o
vanilla
chocolate
1
coffee
4
Supposing these trends continue, how many of the next 6 requests will
be for coffee?
Answers
Answer:
2
Step-by-step explanation:
correct me if i'm wrong
la la la
solve this equation:
x+9=23
Answers
Answer: 14
Step-by-step explanation:
x + 9 = 23
-9 -9
x = 14
40.8 divide by 12 pleas find it
Answers
Answer:
40.8 ÷ 12 = 3.4
Step-by-step explanation:
---------
The solution of expression 40.8 divide by 12 is, 3.4
The given numbers to divide are,
⇒ 40.8 divide by 12
Let us assume that, a is divided by b,
Then, it can be written as,
⇒ a / b
Hence, We can write as,
⇒ 40.8 / 12
⇒ 408 / 120
⇒ 3.4
Therefore, The solution of expression 40.8 divide by 12 is, 3.4
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Did I get this right originally? I think I did.
Answers
that’s what I thought first, but the things right. each x value IS associated with only one y value. If there was more than one arrow pointing from one x value, it wouldn’t be a function, because it would mean one x value has more than one y value. I hope that made sense!
A square solar panel has an area of 16 square feet. Write the area as a power. Then find the side lengths of the panel.
The area of the solar panel written as power is
square feet.
The side lengths of the solar panel are
feet.
Answers
Answer:
area = 4^2
side lengths 4 ft
Step-by-step explanation:
You surprised your friends with a trip to a haunted house this weekend. The admission tickets were $8 per friend. You had to pay an additional $5 for parking and you spend $20 on food. You also got your friends a card that was $2 per friend. At the end of the night, you spent $105. How many of your friends did you bring to the haunted house?
Answers
Answer: 8
Step-by-step explanation:
Ok, start going backwards with the addition and substration which makes it:
105 – 25 = 80
Since you had to pay 8 and 2 for each friend so that makes the cost for a friend 10 so:
80 divided by 10 = 8
8 Friends is the answer.
Write the following statement in the form of equation.
1) One third of a number plus 7 is 26
Answers
1/3 of x plus 7 is 26
Why is this wrong?? Trying to do test corrections
Answers
Answer:
See answer below
Step-by-step explanation:
y = one time fee
35x = hourly rate( hours worked)
35x + y = $190
y = - 35x = 190
$35 per hours × hours work and you did not used the total cost $190
Next time rewrite the sentence and translate into an equation.
The customers service charges = one-time fee + hourly rate$ ( hours worked)
190 = y + 35(x) point slope form
- 35x + 190 = y
HELP - John uses 1/3 cup of orange juice for every 1/6 cup pineapple juice for fruit punch. Write the number of cups of orange juice John uses for 1 cup of pineapple juice.
Answers
87.2- somthing=61.2
what is the awnswer
Answers
Answer:
26.0
Step-by-step explanation:
87.2-61.2= something
something is= 26
EXPLANATION
87.2-61.2=26.0
Make x the subject of the formula 3 ( c − b x ) = 18
Answers
Answer:
- 6-c/b
Step-by-step explanation:
3 ( c − b x ) = 18
=> c - bx = 18/3
=> -bx = 6 - c
∴ x = - 6-c/b
Hopefully this helps!!
The given formula written in the form of x as the subject is obtained as x = (c - 6)/b.
What is a Linear equation?A linear equation is a equation that has degree as one.
To find the solution of n unknown quantities n number of equations with n number of variables are required.
The given formula is 3(c − bx) = 18.
It is in the form of a linear equation.
It can be rewritten as follows,
3(c − bx) = 18
⇒ c − bx = 18/3
⇒ bx = c - 6
⇒ x = (c - 6)/b
Which implies the formula written as x as the subject.
Hence, the required form of the given formula is x = (c - 6)/b.
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Which elements are involved in physical weathering?
Air, salt, rivers, sand, and ice
Air, water, ice, temperature, and plants
Animals, water, pressure, sediment, and gravity
Temperature, animals, ice, gravity, and plants
Answers
Answer:
heat, water, ice, or other agents
Step-by-step explanation:
Part A: Rhett made $250 washing cars with his mobile car wash company. He charges $70 per car and earned $50 in tips. Write an equation to represent this situation. (4 points)
Part B: Scarlett made a profit of $250.00 with her mobile car wash company. She charged $75.00 per car wash and received $35.00 in tips, but also had to pay $5.00 in cleaning supplies per car wash. Write an equation to represent this situation. (4 points)
Part C: Explain how the equations from Part A and Part B differ. (2 points)
Answers
Answer: 250=70x+50 For A
Step-by-step explanation:
Answer:
Part A 70x+50=250
Part B(75x + 35) = 250 - 5x
Step-by-step explanation:
Use point-slope form to write the equation of a line that passes through the point
(-3, -16) with slope -
1/2
Answers
Answer:
Step-by-step explanation:
Point slope form: y - y1 = m(x -x1)
[tex]y - [-16] = \dfrac{1}{2}(x - [-3] )\\\\y + 16 = \dfrac{1}{2}(x + 3)\\\\\\y + 16 = \dfrac{1}{2}x + \dfrac{3}{2}\\\\y =\dfrac{1}{2}x+\dfrac{3}{2}-16\\\\y=\dfrac{1}{2}x +\dfrac{3}{2}-\dfrac{32}{2}\\\\\\y=\dfrac{1}{2}x - \dfrac{29}{2}[/tex]
Answer:
[tex]y= -\frac12 x +\frac{29}2[/tex]
Step-by-step explanation:
Let's start with the point- slope form:
[tex]y-y_0=m(x-x_0)[/tex]
and replace the values we have
[tex]y-(-16) = -\frac12 (x-(-3))[/tex]
We're almost there, we just need to write it in a better looking form.
[tex]y+16= -\frac12 (x+3)\\y=-\frac12 x - \frac32 + \frac{32}2\\y= -\frac12 x +\frac{29}2[/tex]
3. drinking 8 glasses of water a day is good for your health. if each glass of water is equivalent to 148 mL, how many liters of water you need to consume everyday.
Answers
Answer:
pap
Step-by-step explanation:
papi
Answer:
1184 mL (148×8)= 1.184 liters
Given the value of cosine,
Cos 0=1/5
Find the value of sine
Sin(0)=
Answers
Answer:
25896
Step-by-step explanation:
Rotate the point (-3,-4) around the origin 180 degrees clockwise. State the image of the
point.
Answers
Answer:
(3,4)
Step-by-step explanation:
There are rules for rotations that make it really easy to find the images of any given point for any given rotation. In this case, we have an 180° clockwise rotation, and to find the image of any point rotated this way, we just have to make the x-values and y-values negative.
In this case, we have (-3,-4). Let's make each value negative: (-(-3), -(-4)). Our negative signs cancel out and we get (3,4). And that's the image of the point (-3,-4) at a 180° clockwise rotation about the origin.
Hopefully that's helpful! :)
how many teaspoons are in 15 milliliters? 1 tsp = 5 mL
Answers
Answer:
The number of teaspoons in 15 ml is 3 tsp.
Step-by-step explanation:
All you have to do is divide 15 by 5 and get 3. This is because for every 5 ml there is 1 tsp. So for the 15 ml, there is 3 tsp.
Which of the following is another way to express the difference between -5 and 8?
O-5+8
O-5-(-8)
O-5+(-8)
08-5
Answers
please help me with this:(((((
Answers
2.) 2
3.) Y=3x-9
What is the slope of the line passing through the points (−3, 4) and (2, −1)?
3/5 this is a fraction by the way
1
−1
−53
Answers
[tex](x_1,y_1) = (-3,4),~~ (x_2,y_2) = (2,-1)\\\\\text{Slope,}~ m = \dfrac{y_2 - y_1}{x_2 - x_1} =\dfrac{-1-4}{2+3} = \dfrac{-5}5 = -1[/tex]
which item below weighs more
Answers
Step-by-step explanation:
Rice = 5¾ kg = 23/4kg = 23/4*1000 g = 5750g
Flour = 5725g
Rice > flour
Answer:
lol its rice
Step-by-step explanation:
isaacs new panoramic television is 40 inches and 9 inches high. what is the diagonal size of Isaac’s television?
Answers
Answer:
41 inches
Step-by-step explanation:
To solve for the diagonal length of his television, we can use the formula:
a² + b² = c²
Square the length and width of the TV then add them together. Then find the square root of the sum.
40² = 1600
9² = 81
1600 + 81 = 1681
√1681 = 41