stion 13: A typical barrel of bot-oil contains 70 liters of oil. If a hole he barrel is causing a constant 6 liters an hour leak, use a function to show the amount of oil in the barrel over time.

Answers

Answer 1

Answer:

y = -6x + 70

Step-by-step explanation:

Since the amount of oil in the tank decreases constantly, we need to create a linear function. Using the base form, y = mx + b, we can replace -6 for m because volume decreases by 6 (or increases by -6) each hour, and +70 for b because we start off with 70 liters of oil. So we get y = -6x + 70, with x representing the number of hours, and y representing the volume of oil remaining.


Related Questions

I need help or the answer no one knows what to do

Answers

[tex]61 + (6x - 31) = 90[/tex]

Subtract both sides 61

[tex]61 - 61 + 6x - 31 = 90 - 61[/tex]

[tex]6x - 31 = 29[/tex]

Add both sides 31

[tex]6x - 31 + 31 = 29 + 31[/tex]

[tex]6x = 60[/tex]

Divide both sides by 6

[tex] \frac{6x}{6} = \frac{60}{6} \\ [/tex]

[tex]x = 10[/tex]

____________________________________________

Have a great day ♡

Answer:

x = 10

Step-by-step explanation:

It's a 90˚ angle so subtract 61 from 90, which is 29.

Then add 31 to that 29, which would come out to 60.

60 divided by 6 to isolate the variable would come to 10.

Check your answer by multiplying 10 by 6, subtract the 31, and lastly add the 61 to get back to your 90.

YES OR NOOO PLEASEE ANSWER

Answers

Answer:

Not a Function.... hope you pass!

solve the equation. Show all your work. Put your final answer in the blank.)
12x + 9 1 = 12

Answers

hope this help u and good luck

Answer:

x=(-79/12) or -6 7/12

Step-by-step explanation:

12x+91=12

     -91   -91

12x=-79

(12x/12)=(-79/12)

x=(-79/12) or -6 7/12

-16+5w=-1
solve for w

Answers

Answer:

w=3

Step-by-step explanation:

-16+5w=-1 .       add 16 to both sides

5w=15 .   divide both sides by 5

w=3

W=3
5w= -1 + 16
5w = 15
5 x 5 x 5 = 15

SOLVE FOR X & Y

last one, pls. this is for extra credit :)

Answers

Hope it helps.

Don't forget to click the Brainliest button if you like my answer and if you have any query, feel free to ask in the comment section.

What is the probability of drawing a king, then an ace (with replacement)?

Answers

Answer:

So there is a 2 in 13 chance to pull out either an ace or king from the deck

Step-by-step explanation:

Which list shows the numbers below in order from least to greatest? 5.78,-5.9,58%,-(23)/(4) A -5.9,-(23)/(4),5.78,58%, C -5.9,-(23)/(4),58%,5.78 B -(23)/(4),-5.9,58%,5.78, D 58%,-(23)/(4),5.78,-5.9

Answers

Answer:

D

Step-by-step explanation:

Party. Elena is buying cups and plates for her party. Cups are sold in packs of 8 and plates are sold in packs of 6. She wants to have the same number of plates and cups.
Find a number of plates and cups that meet her requirement.

How many packs of each supply will she need to buy to get that number?

Name two other quantities of plates and cups she could get to meet her requirement.

​Tiles. A restaurant owner is replacing the restaurant’s bathroom floor with square tiles. The tiles will be laid side-by-side to cover the entire bathroom with no gaps, and none of the tiles can be cut. The floor is a rectangle that measures 24 feet by 18 feet.
What is the largest possible tile size she could use? Write the side length in feet. Explain how you know it’s the largest possible tile.

How many of these largest size tiles are needed?

Name more tile sizes that are the whole number of feet that she could use to cover the bathroom floor. Write the side lengths (in feet) of the square tiles.

Stickers. To celebrate the first day of spring, Lin is putting stickers on some of the 100 lockers along one side of her middle school’s hallway. She puts a skateboard sticker on every 4th locker (starting with locker 4), and a kite sticker on every 5th locker (starting with locker 5).
Name three lockers that will get both stickers.
After Lin makes her way down the hall, will the 30th locker have no stickers, 1 sticker, or 2 stickers? Explain how you know.

Kits. The school nurse is assembling first-aid kits for the teachers. She has 75 bandages and 90 throat lozenges. All the kits must have the same number of each supply, and all supplies must be used.
What is the largest number of kits the nurse can make?
How many bandages and lozenges will be in each kit?

What kind of mathematical work was involved in each of the previous problems? Put a checkmark to show what the questions were about.

Evaluation: What Kind of Problem?
1. For each problem, tell whether finding the answer requires finding a greatest common factor or a least common multiple. You do not need to solve the problems.
a. Elena has 20 apples and 35 crackers for making snack bags. She wants to make as many snack bags as possible and wants each bag to have the same combination of apples and crackers. What is the largest number of snack bags she could make?

b. A string of holiday lights at a store has three colors that flash at different times. Red lights flash every fifth second. Blue lights flash every third second. Green light flashes every four seconds. The store owner turns on the lights. After how many seconds will all three lights flash at the same time for the first time?

c. A florist orders sunflowers every 6 days, starting from the sixth day of the year, and daisies every 4 days, starting from the fourth day of the year. When (or on which day) will she order both kinds of flowers on the same day?

d. Noah has 12 yellow square cards and 18 green ones. All the cards are the same size. He would like to arrange the square cards into two rectangles—one of each color. He wants both the yellow and green rectangles to have the same height and to be as tall as possible. What is the tallest possible height for the two rectangles?

2. Explain how you know which problem(s) involves finding the greatest common factor.

Answers

Answer:
For 80 people, Elena would need
14 packs of plates and 10 packs of cups
She would have at least 80 of each.


I am not completely sure of this, sorry if wrong.

Step-by-step explanation:
80 people
8 cups per pack
6 plates per pack
8, 16, 24, 32, 40, 48, 56, 64, 72, 80
6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84
LCM (least common multiple) = 24

Factorize: 2ay + 10ax - 3by - 15bx​

Answers

Answer:

(2a-3b)(y+5x)

Step-by-step explanation:

2ay + 10ax - 3by - 15bx

2a(y+5x)-3b(y+5x)

(2a-3b)(y+5x)

Answer:

(y+5x) (2a - (3b))

Step-by-step explanation:

2a (2ay/2a + 2 x 5ax/2a) + 3b (-3by/3b - 3 x 5bx/3b)

2a (y+5x) + 3b (-y - (5x))

(y+5x) (2a(y+5x)/y+5x + 3b (-y-5x)/y+5x)

Elizabeth took out a 3year loan to buy a car at 4.4% simple interest rate. If she initially borrowed $1,400 how much interest will she have to pay

Answers

Answer:

is 61.6 on there? because if so I believe it's that

A vehicle factory manufactures cars. The unit cost C (the cost in dollars to make each car) depends on the number of cars
made. If x cars are made, then the unit cost is given by the function C(x)=0.2x2 - 92x+29,516. What is the minimum
unit cost?
Do not round your answer.

Answers

Answer:

check online for more information


34. Find the average rate of change for x 0.5 to 35 for the following temperatures in degrees Fahrenheit
recorded beginning at noon. Also interpret the meaning of x = 3.5.

Answers

The average rate of change between the interval x = 0.5 to x = 3.5 is: 5.

x = 3.5 represents 3.5 hours after noon.

How to Find Average Rate of Change Over an Interval

Given an interval of x = a to x = b, the average rate of change over the given interval of a function can be calculated using the formula below:

[tex]\frac{f(b) - f(a)}{b - a}[/tex]

Given table representing the function as shown in the image attached below, let's determine the average rate of change for x = 0.5 to x = 3.5.

a = 0.5

f(a) = 47 (from the table, when x = 0.5, y = 47)

b = 3.5

f(b) = 62 (from the table, when x = 3.5, y = 62)

Plug the values into [tex]\frac{f(b) - f(a)}{b - a}[/tex]

Average rate of change = [tex]\frac{62 - 47}{3.5 - 0.5} = \frac{15}{3} = 5[/tex]

Average rate of change = 5

x = 3.5 represents 3.5 hours after noon.

Learn more about average rate of change on:

https://brainly.com/question/11627203

Given: RS is the perpendicular bisector of AB
Prove: RA ≅ RB

Answers

Answer:

See answer below

Step-by-step explanation:

RS ⊥ bisector of AB                                   Given

AS ≅ BS                                                       Definition of ⊥ bisector

∠RSB is a right angle                                  Given

∠RSB = 90°                                                  Definition of right angle

∠RSB & ∠RSA form a linear pair                Definition of linear pair  

∠RSB + ∠RSA = 180                                     A linear pair = 180°

   90° +  ∠RSA = 180°                                   Substitution

     ∠RSA =   90                                            Subtraction

   ∠RSB = ∠RSA                                            Substitution            

    ∠RSB ≅ ∠RSA                                         If equal then congruent

   RS ≅   RS                                                  Reflexive

  Δ RAS ≅ ΔRBS                                           SAS

      RA ≅ RB                                                 CPCTC    (corresponding parts of

                                                                                     congruent triangles  ≅

A linear inequality is in the form Ax + By + C = 0

True
False

Answers

Answer:

False

That is an equation as shown by the = sign.

An inequality has an inequality sign like '<' .

The data in this table represents a linear function.
What is the slope of this line?
2/7
1/3
3
7/2

Answers

Answer:

3

Step-by-step explanation:

[tex]Slope (m) = \frac{y}{x} = \frac{3}{1} = 3[/tex]

X = 5 – 2 = 3

Y = 16 – 7 = 9

[tex]0 = arctan(\frac{y}{x}) = 71.565051177078°[/tex]

[tex]Distance (d) = \sqrt{X2} + Y2 = \sqrt{90} = 9.4868329805051[/tex]

Equation of the line:

y = 3x + 1

When x=0, y = 1

When y=0, x = -0.33333333333333

Are these lines perpendicular?
yes
no

Answers

Answer: yes these lines are

Answer:

yes

Step-by-step explanation:

Perpendicular lines intersect eachother

Round your answer to the nearest hundredth

Answers

Answer:

9.49

Step-by-step explanation:

Using the Pythagorean Theorem, we know a²+b²=c².

So 3²+9²=(BA)²

9+81=(BA)²

90=(BA)²

From this, we know BA=√90

BA=9.486

Rounding to the nearest hundredth, this is 9.49

Please consider a brainliest! Thank you!


HELP PLEASE
I NEED TO CHECK OFF THE TWO FUNCTIONS USED TO CREATE THE GRAPH BELOW

Answers

linear and trigonometric

Can someone please help? :(

Answers

Answer:

with what?

Step-by-step explanation:

Answer:

what do you need help with :p

Step-by-step explanation:

Rani makes a special design called a rangoli for Diwali. Her design is square with

a side length of 15 in. Rani then makes a larger rangoli by tripling this side length.

How many times as large is the area of the new rangoli than the area of the

original rangoli?

Answers

Answer: 180

Step-by-step explanation:

• 15 x 4 = 60

• 60 x 3 = 180

Therefore the answer is 180.

Annette measured pepper plant sprouts and recorded the following lengths in
inches:
1/3 .0.75, 1/4 .0.5
If Annette ordered the lengths from least to greatest, which one would come
second?


Answer pls❤️‍❤️‍❤️‍

Answers

Answer:

Ask with your teacher.not to me

Answer:

1/4 , 1/3 , 0.5 , 0.75

Step-by-step explanation:

1 - Convert all numbers into fractions.

1/3 , 3/4 , 1/4 , 1/2

2 - Find the greatest common factor and apply it to all.

4/12, 9/12, 3/12, 6/12

3 - Order all into least to greatest.

3/12 , 4/12 , 6/12 , 9/12

4 - Convert back to normal forms.

1/4 , 1/3 , 0.5 , 0.75

Brainliest would be appreaciated! :-)

[tex]15yx^{2} -34y-16[/tex]

Answers

Answer:

15yx^2-34y-16

Step-by-step explanation:

i need HELLPPPPPPP PLEASEEE

Answers

Answer:

B

Step-by-step explanation:

thats the only one that can go on a number  line correctly, plz mark me brainiest

is the constant rate increasing or deceasing

Answers

Increasing most likely
increasing i’m pretty sure

A scientist counted 3,921 total eggs in
49 sea turtle nests. Each nest had about
the same number of eggs. Which is the
best estimate of the number of eggs
she counted in each eggs?

Answers

Answer:

 The Answer is 80

Step-by-step explanation:

So I turned 3,921 to 4,000 then 49 to 50.

After that I divided the too 4,000÷50= 80

75,15,3 find the 6th term

Answers

Answer:

0.024

Step-by-step explanation:

75, 15, 3, ...

Now, let's take a look at thus pattern.

You'll notice how the numbers decrease.

Divide 75 by 5.

We get 15

Divide 15 by 5.

We get 3.

Then we have the pattern now.

3 ÷ 5 = 0.6 (4th term)

0.6 ÷ 5 = 0.12 (5th term)

0 12 ÷ 5 = 0.024 (6th term)

I hope it helps.

help me plz i need help

Answers

Answer:

y-2.0

x-2.3

Step-by-step explanation:

hope it help

Answer:

x- intercept = - 1, y- intercept = - 1

Step-by-step explanation:

The x- intercept is the point on the x- axis where the line crosses

x- intercept = - 1

The y- intercept is the point on the y- axis where the line crosses

y- intercept = - 1

Help please (MATH)......................

Answers

Answer:

ft hu hu mmmmmmmmmuaaaaaaaaaaaaaah

I’m not sure but I think it’s 4 square feet

Help with geometry question

Answers

Answer:

see explanation

Step-by-step explanation:

On each median the distance from the vertex to the centroid is twice the distance from the centroid to the midpoint, or

the distance from the centroid to the midpoint is one third of the median

23

LF = 2 × HL = 2 × 30 = 60

HF = HL + LF = 30 + 60 = 90

24

KL = [tex]\frac{1}{3}[/tex] KE = [tex]\frac{1}{3}[/tex] × 15 = 5

LE = 2 × KL = 2 × 5 = 10

25

LJ = [tex]\frac{1}{2}[/tex] DL = [tex]\frac{1}{2}[/tex] × 24 = 12

DJ = DL + LJ = 24 + 12 = 36

Are these lines perpendicular?
X
yes
no

Answers

Answer:

[tex]\huge\boxed{\sf No.}[/tex]

Step-by-step explanation:

Perpendicular lines:

When two lines intersect each other at 90 degrees, they are said to be perpendicular lines.

Answer:

The given lines are not perpendicular lines since they do not intersect each other at 90 degrees.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807
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