Answers
Answer: 50 Minutes = 309 gal
Step-by-step explanation: Every 10 minutes the amount of water goes up by 18, so after 50 minutes the water would be equivalent to 309 gallons.
Answer:
[tex]y=1.8x+219[/tex]
309 gallons
Step-by-step explanation:
So to find the linear equation, we can use the data from the table.
First, use the data from the table to find the slope. Pick any two points. I'm going to use (10,237) and (20,255).
Let (10,237) be x₁ and y₁ and let (20,255) be x₂ and y₂.
The formula for slope is given by:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute:
[tex]m=\frac{255-237}{20-10}[/tex]
Simplify:
[tex]m=18/10=1.8[/tex]
Thus, the slope is 1.8. This means that 1.8 gallons of water flow into the tank every minute.
Now, let's find the slope-intercept. To do this, we can use the point-slope form. The point-slope form is:
[tex]y-y_1=m(x-x_1)[/tex]
Let's use (10,237) for consistency. Plug in 237 for y₁ and 10 for x₁. Also use 1.8 for m. Thus:
[tex]y-237=1.8(x-10)[/tex]
Distribute:
[tex]y-237=1.8x-18[/tex]
Add 237 to both sides:
[tex]y=1.8x+219[/tex]
What this means is that there is initially 219 gallons of water in the tank already. Every minute, 1.8 gallons is added further.
And that's our linear equation :)
So, to find the amount of gallons after 50 minutes, plug in 50 for x and solve:
[tex]y=1.8(50)+219\\y=90+219=309[/tex]
After 50 minutes, there will be 309 gallons of water.
Related Questions
Lear
)) Subtract.
(9c^2+ 9c + 3) - (6c^2+ 7c)
.
Answers
Answer:
3c^2+2c+3
Step-by-step explanation:
[tex]\left(9c^2+9c+3\right)-\left(6c^2+7c\right)\\\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=9c^2+9c+3-\left(6c^2+7c\right)\\\\-\left(6c^2+7c\right):\quad -6c^2-7c\\=9c^2+9c+3-6c^2-7c\\\\\mathrm{Simplify}\:9c^2+9c+3-6c^2-7c:\\\quad 3c^2+2c+3[/tex]
Answer:
Step-by-step explanation:
9c^2 + 9c + 3 - 6c^2 - 7c
3c^2 + 2c + 3
A ver si responden correctamente! Yo tenía $50 Mi mamá me dio $100 Mi papá me dio $500 Mi tío y mi tía me dieron $100 Yo tenía otros $75 ¿Cuánto tenía?
Answers
so if i add all of them i get $825
Tu tenías $825.
Dado que tu tenías $50, tu mamá te dio $100, tu papá te dio $500, tus tíos te dieron $100 y tu tenías otros $75, para determinar cuanto dinero tenías en total se debe realizar la siguiente operación matemática, consistente en una suma:
50 + 100 + 500 + 100 + 75 = X150 + 600 + 75 = X750 + 75 = X825 = XPor lo tanto, en total tu tenías $825.
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expand and simplify
2a + 3(a + 5)
Answers
Answer:
5a + 15
Step-by-step explanation:
2a + 3(a + 5)
open brackets
2a + 3a + 15
5a + 15
Mrs. Brown bought 42 juice boxes. One-sixth of the juice boxes are cherry. How many cherry juice boxes did Mrs. Brown buy?
Answers
Answer:
the answer 1s 7
Step-by-step explanation:
1 sixth of 42
1/6 × 42
6
please answer this I need it asap
Answers
Answer: i believe the answer would be the 3rd option
Step-by-step explanation:
4x+5x=63
Solving linear equations
Answers
Answer:
x = 7
Step-by-step explanation:
4x+5x=63
Combine like terms
9x = 63
Divide by 9
9x/9 =63/9
x = 7
Which of the following dot plots shows data that is symmetrical?
Answers
Hey there! I'm happy to help!
If something is symmetrical you can cut a line through it and it will be the same on both sides. If you have a perfect circle you can cut it in half and it will be the same on both sides, so it is symmetrical.
We see that W looks the same on both sides if you cut it in half at the 3. It is the same on both sides, so the answer is W.
Have a wonderful day! :D
Answer:
Y
Step-by-step explanation:
The table below shows the birth weight and the weight for the first three weeks of a baby whale. Determine the slope and y-intercept of the linear equation that models this data, write the equation and predict the baby whale’s weight at 4 weeks.
Week
Weight (lbs)
0
5000
1
6400
2
7800
3
9200
Student’s Work
Student’s Answer
A. y= 9200x+1400; 10,600 lbs
B. y= 5000x+1400; 21,400 lbs
C. y= 1400x+ 5000; 10,600 lbs
D. y= 5000 +41400; 21,400 lbs
Answers
Answer:
C
Step-by-step explanation:
The slope is 1400. And the y intercept is 5000 because when x=0 y=5000. And if you multiply 1400 by 4 and then add 5000 you get 10,600 lbs for the weight at 4 weeks.
The slope is 1400 and the y-intercept is 5000 of the linear equation which is the correct answer would be option (C) y = 1400x + 5000; 10,600 lbs.
What is the slope of the line?The slope of the line is defined as the angle of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
We have to determine the slope and y-intercept of the linear equation that models this data,
Week Weight (lbs)
0 5000
1 6400
2 7800
3 9200
Slope = (7800 - 6400)/(2 - 1) = 1400
There is a 1400 slope.
And since y=5000 for x=0, the y-intercept is 5000.
So the equation of a baby whale’s weight at 4 weeks is y = 1400x + 5000
Hence, the correct answer would be option (C)
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I dont understand what this mean or how to solve it.
-(8 - 2)
Answers
Answer:
-6
Step-by-step explanation:
1. Always do the parentheses first. solve 8-2 to get 6.
-(8-2) = -(6) = -6
1. simplify inside parentheses
a) 8 - 2 = 6
2. multiply by whatever is outside the parentheses
a) (-1)(6) = -6
Let me know if you need me to clarify on something!
Admission price to Universal Studios park is Php 2600 per person. The average patron attending spends about Php 1500 on food, drinks, games, and souvenirs. Find the function notation that accurately describes this situation.
Answers
Answer:
f(x)=2600x+1500 at least I think because it's 2600 per person
What are the 2-dimensional components of a cylinder
Answers
Answer: 2 circles and a rectangle
Step-by-step explanation:
1. Mr. Jones's class collected tissue boxes. The
class brought in a total of 30 boxes. If the tissue
box dimensions are listed below, then how much
space will Mr. Jones need?
4 in
С
3 in
7 in
Answers
Answer:
420 inches of space in all equal length width and height
Step-by-step explanation:
Because 4+3+7 = 14 x 30
it all equals up to 420
Mr. Jones will need 420 inches of space in all equal length, width, and height.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations.
* Multiplication operation: Multiplies values on either side of the operator
For example 12*2 = 24
We have been given that the tissue box dimensions are 4, 3, and 7
If the class brought in a total of 30 boxes.
So the required space would be : (4+3+7)×30 = 14 × 30
it all equals up to 420.
Hence, he will need 420 inches of space in all equal length, width, and height.
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Suppose a social networking site has roughly 1,000,000 users, and as each
member signs up for an account, he or she is assigned a number. Which of these would result in the largest sample size using systematic sampling?
A. Surveying every 25,000th number
B. Surveying every 25th number
C. Surveying every 250th number
D. Surveying every 2,500th number.
Answers
The option that results in the largest sample size using systematic sampling is; Surveying every 25,000th number
How to find the Sample Size?
If the numbers of people are assigned in order of 1 to 1,000,000 then the smallest sample would be obtained by conducting surveys every 25 000th numbers.
The calculation of the sample size would be made by dividing 1, 000,000 by 25000.
1,000,000/25000 = 40
Therefore, the smallest sample selected would be 40 people.
If the surveys were made every 25th numbers, then the sample size would be:
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find the angle made by the line joining 5,3 and -1,-3 with the positive direction of x-axis
Answers
Answer:
45°
Step-by-step explanation:
gradient of the line:
Let A (-1,-3) and B (5,3)
tan a = (yB - yA) / (xB - xA) = (3 - -3) / (5 - -1) = 6/6 = 1
--> the angle made by the line and positive direction of x-axis is:
[tex]a = { \tan}^{ - 1} (1) = 45[/tex]
a trapezium with equal non parallel sides is called
Answers
Answer:
It is called an isosceles trapezoid/ trapezium
Step-by-step explanation:
Solve for b:
3(b - 4) = -3
Answers
Answer:
b=3
Step-by-step explanation:
it is in the picture
Answer:
b = 3Step-by-step explanation:
=> 3(b - 4) = -3
=> 3b - 12 = -3
=> 3b = -3 + 12
=> 3b = 9
=> b = 9/3
=> b = 3
Gemma has 24 balls out of 24 balls 12 are yellow for pink and the rest are red what is the ratio of the number of red balls to the number of balls that are either yellow or pink
Answers
Answer:
12:12
Step-by-step explanation: 24-12 = 12 red balls therefore the ratio would be 12:12.
You are descending from the top of a 32-foot tall rock climbing wall at an average rate of -2.3 feet per minute. How many feet off the floor are you in 5 minutes? How many feet off the floor are you in 10 minutes? Approximately when will you reach the ground?
Answers
Answer:
You are 11.5 feet off the floor are you in 5 minutes
You are 23 feet off the floor are you in 10 minutes
it will take 13.91 minutes to reach the ground
Step-by-step explanation:
If you are top , height will keep decreasing as you move downward.
Given
top height 32 feet
Descending speed = -2.3 feet /minute
Here negative sign implies that height is decreasing.
concept used
distance = speed * time
How many feet off the floor are you in 5 minutes?
time = 5 minutes
distance descended = -2.3 feet /minute*5 minutes = - 11.5 feet
Hence ,
I would have moved 11.5 feet from the top.
Distance from ground will be = Top height - distance descended
Distance from ground will be = 32 - 11.5 = 20.5 feet
____________________________________________
How many feet off the floor are you in 10 minutes
distance descended = -2.3 feet /minute*10 minutes = - 23 feet
Hence ,
I would have moved 23 feet from the top.
Distance from ground will be = Top height - distance descended
Distance from ground will be = 32 - 23= 9 feet
______________________________________________
When you reach the ground distance descended will be 32 feet.
Since its a descend distance off the floor has to be taken as negative value
Thus, distance descend in this case will be -32 feet
-32 feet= -2.3 feet /minute*Time
Time = -32/-2.3 = 13. 91 minutes.
Thus, it will take 13.91 minutes to reach the ground.
A 50 litre solution of acid and water contains 10 litres of acid. How much water must be added to make the solution 8 % acidic. Will mark brainest to whoever answers.
Answers
Answer:
Your welcome!Step-by-step explanation:
Acid present in the solution = 10 L
Required volume concentration of acid = 8/100
Let x amount of water be added to achieve the required %.
In the new solution, proportion of acid= 10/(50+x)
Therefore,
10/(50+x) = 8/100
x=75
Ans: 75 L of water must be added to the solution
The area of a rectangular wall of a barn is 90 square feet. It’s length is 8 feet longer than twice it’s width. Find the length and width of the wall of the barn
Answers
Answer: The answer is that the length is square ft, and the width is .
Step-by-step explanation:
The length and width of the wall of the barn are 18, 9
What is the area of rectangle?The area of rectangle is product of length and width
Given area of rectangle is 90 ft²
given length = 8 ft + 2ₓ width
l = 8 +2 w
area = l × w
90 = (8 +2 w) × w
90= 8w +2w²
2w²+ 8w -90 =0 or w²+4w - 45 =0
On solving w= 9, -5
as width cannot be negative so w= 9
l= 8+2×9
l=26
Thus the length and width of the wall of the barn are 18, 9
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How many times does 12 go into 110
Answers
Answer:
it goes into 110 about 9 times
Step-by-step explanation:
Answer:
9 times
Step-by-step explanation:
12 * 9 = 108
Which equation has a solution of x = 1.5
Answers
16-14.5=1.5
What number is being factored in this factor tree?
A.72
B.180
C.216
D.324
Answers
Answer:
not sure if it's ryt but I think it's A
f(x)=-4x-6 and g(x)=3x+5. Find (f o g)(-3) plzzzzzzzzzzz helpppppppp
Answers
Answer:
(f o g)(-3) = 10Step-by-step explanation:
f(x) = - 4x - 6
g(x)=3x+5
To find (f o g)(-3) we must first find
(f o g)(x)
To find (f o g)(x) substitute g(x) into f(x) that's for every x in f (x) replace it with g (x)
That's
(f o g)(x) = - 4( 3x + 5) - 6
= - 12x - 20 - 6
(f o g)(x)= - 12x - 26
Now to find (f o g)(-3) substitute the value of x that's - 3 into (f o g)(x) and solve
We have
(f o g)(-3) = - 12(-3) - 26
= 36 - 26
We have the final answer as
(f o g)(-3) = 10
Hope this helps you
PLEASE HELP explain how you can prove two circles are similiar
Answers
Answer:
By Looking at the shapes and sizes
Step-by-step explanation:
If you can try and look at the shape and size of it, if you can draw it, draw it on a piece of paper, trace them both, but in the same spot, you didn't specificize, if it was a sphere or just a regular circle or not, so thats all i can tell you.
Please help this would mean a lot to me
Answers
Answer: D. m∠x+m∠y=180°
Step-by-step explanation:
m∠x and m∠y creates a linear pair (two angles formed one line)
a line is 180°, this means:
m∠x+m∠y=linear pair
m∠x+m∠y=180°
Hope this helps!! :)
Please let me know if you have any question
I need help and if you can’t see the letters zoom in
Answers
Answer:
3) 45°
4) 135°
5) <WAX and <XAZ
6) <WAX and <WAU
7) <WAX and <YAU
8) <WAX and <XAZ
Step-by-step explanation:
3) 45°
4) 135°
5) <WAX and <XAZ
6) <WAX and <WAU
7) <WAX and <YAU
8) <WAX and <XAZ
21+17·2−15+1 I WILL GIVE BRAINLYEST WHOEVER GETS IT CORRECT
Answers
Answer:
the answer is 62
Step-by-step explanation:
21 + 17 = 38
38 x 2 = 76
76 - 15 = 61
61 + 1 = 62
Pat wants to measure the length of a table. She'll use a measuring tape. Which units should Pat use to express the length?
A. Pints
B. Degress
C. Inches
D. Moles
Answers
Answer:
Inches is the best answer
Step-by-step explanation: This is because it is the only one that actually makes sense in the context of the question. Pint is for liquids, degrees is for angles, and moles is for molecules.
inches is the right answer
Determine the input value for which the statement f(x) = g(x) is true.
Answers
Answer:
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Step-by-step explanation: