A barrel of oil was filled at a constant rate of 7.9 gal/min. The barrel had 12 gallons before filling began.

Answers

Answer 1

The equation that models this situation is z = 7.9y + 12.

A linear equation is a function that has a single variable raised to the power of 1.  An example is x = 4y + 2.

Where:

2 is the constantx = dependent variable y = independent variable  

From the equation given, 12 would be the constant, the independent variable would be 7.9 and z would be the dependent variable.

z = 7.9y + 12

Here is the complete question: A barrel of oil was filled at a constant rate of 7.9 gal/min. The barrel had 12 gallons before filling began. write an equation in standard form to model the linear situation.

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Related Questions

Elena collects 112 specimens of beetle and records their lengths for an ecology research project. When she returns to the laboratory, Elena finds that she incorrectly recorded one of lengths of the beetles as 122 centimeters (about 4 feet). What should she do with the outlier, 122 centimeters, when she analyzes her data?

please help me, this isn't a (a) (b) (c) (d) option I need a full explanation
40 POINTS!!!

Answers

Answer:

The correct option is;

C. She should go back and remeasure all of her specimens again to find the error. If she can't do this, she should eliminate the outlier from the analysis, because this is an error in recording

Step-by-step explanation:

In order to minimize error in measurement, some valuable steps includes;

1) Perform a double check on all measurements to ensure that the measurements recorded are accurate

2) Ensure proper training before taking measurements

3) Measurements should only be taken under controlled conditions

4) Separate the entire population into smaller groups for proper recording

5) Have a second observer double check the records

Elena should remove the outlier of 122 centimeters (about 4 feet) from her dataset during data analysis due to its significant deviation from the typical lengths of beetles.

When analyzing her data, Elena should consider removing the outlier of 122 centimeters (about 4 feet) from her dataset. The Outlier is defined as a "data-point" which significantly deviates from the overall-pattern of the data.

In this case, the recorded length of 122 centimeters is likely an error or anomaly, as it is much larger than the typical lengths of beetles. Removing the outlier will help ensure that her analysis and conclusions accurately reflect the majority of the data and the actual behavior of the beetles.

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Find the highest common factor and lowest common factor of 78 and 130

Shown method would be great thankss :))

Answers

Answer:

The GCF is 26 and the least common factor is 390

Step-by-step explanation:

The GCF is 26 because 2, LCF is 390 because 78x5 equal 390 and 130x3=390.

find the area of each of the following polygons. aj 1 cm b) 1 cm c 1 cm 1 cm​

Answers

Answer:

1 cm

Step-by-step explanation:

Use a calculator to find log 0.0019. round answer to 2 decimal places

Answers

Answer:

Step-by-step explanation:

-2.72

The steps used to solve this are (for most calculators ) is

log

0.0019

=

If you do not own a scientific calculator, you can use the one that came from windows.

Unfortunately it is slightly different. Make sure you are in scientific mode. Type in 0.0019. Then click on log. Same answer just much longer.

A circle has a diameter of 62 meters. What is the circumference of the circle

Answers

Answer:

the circumstance is 194.78

Evaluate $\frac{20}{101}-\frac{20}{99}$. Express your answer in simplest form.

Answers

Detail: 37









Answer: 69


Gummi


Blick: 55

Assume that lines which appear to be tangent are tangent.
Find the value of the?

Answers

Answer:

12

Step-by-step explanation:

Assume that lines which appear to be tangent are tangent.

Therefor this is a right triangle.

Use the pythagorean theorem

c^2 = a^2 + b^2

15^2 = ?^2 + 9^2

225 = ?^2 + 81

subtract 81 from both sides

144 = ?^2

Take the square root of both sides

12 = ?

9514 1404 393

Answer:

  ? = 12

Step-by-step explanation:

The tangent makes a right angle with the radius at the point of tangency. That means the Pythagorean theorem can be used to find the missing length.

  ?² +9² = 12²

  ?² = 225 -81 = 144

  ? = √144 = 12

The value of ? is 12.

__

Additional comment

When you see a right triangle with the ratio of hypotenuse to leg of 15:9 = 5:3, you know immediately that it is a multiple of a 3:4:5 right triangle. Here, the scale factor is 3, so the missing side is 3×4 = 12.

What is the slope of the line for this question?

Answers

Step-by-step explanation:

the slope of the line is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

we have 2 points marked on the chart :

(6, -1) and (9, 3)

x changes by +3 (from 6 to 9)

y changes by +4 (from -1 to 3)

the slope is therefore +4/+3 = 4/3

Which table is not a proportional relationship

Answers

Answer:

B and D

Step-by-step explanation

Answer:

D

Step-by-step explanation:

sequence in the earnings is unproportional difference between 27 and 54 is not 9

The graph below represents the path of a squirrel traveling up and down a tree over time.
The position of the squirrel can be calculated using the function p (t) = at? + b + c.
What is the value of a?
What is the value of b?
What is the value of c?

Answers

Answer:

a= -1

b= 7

c= 0

Step-by-step explanation:

equation is

y=h(x)(x-7)

let x be 5 and y be 10 to solve for a

10=h(5)(5-7)

10=h(-10)

h=-1

now equation is

y= -x²+7x

so a=-1

b=7

c=0

The value of a is -1, the value of b is 7 and the value of c will be equal to zero.

What is an expression?

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both.

Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the data provided in the question,

y = h(x) × (x-7)

let x be 5 and y be 10 to solve for a

10=h(5) × (5-7)

10 = h(-10)

h = -1

now equation is

y = -x²+7x

So,

a = -1

b = 7

c = 0

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I'm really confused and need help.​

Answers

Answer:

EC = 3

Step-by-step explanation:

can 22.75 be rounded off to 23.5?
(im not smart pfft)​

Answers

Answer:

No

Step-by-step explanation:

22.75 can be rounded to:

22.8

23

20

Answer:

no only 22.8

Step-by-step explanation:

4952 rounded to the nearest ten​

Answers

Answer:

4950

Step-by-step explanation:

4952 has:

'4' in the thousands place

'9' in the hundreds place

'5' in the tens place

'2' in the ones place

Rounding to the nearest tens means to look at the value in the ones place and if it is 5 or greater the value in the tens place increases by one, otherwise it remains the same

100 points
Help plz
show work
(2t)/(5)=(t^(2)-5t)/(5t)

Answers

Answer:

[tex]t=-5[/tex]

Step-by-step explanation:

[tex]\frac{2t}{5} = \frac{t^{2} -5t}{5t}[/tex], [tex]t\neq 0[/tex]

[tex]\frac{2t}{5} = \frac{t(t-5)}{5t}[/tex]

[tex]\frac{2t}{5} = \frac{t-5}{5}[/tex]

[tex]2t = t-5[/tex]

[tex]t=-5[/tex]

T= -5 trust me it’s right

How to find if a triangle is obtuse acute or right.

Answers

Right triangles will always have a 90 degree angle in them. If your unsure of what a 90 degree angle is; try imagining a square, the corners of the square will all be 90 degrees resembling an L shape.
Example of possible angles(right): 90, 70, 20

Referring back to right angles, Obtuse triangles will always consist of one angle wider than 90 degrees.
Example of possible angles(obtuse): 120, 30, 30

And finally for acute triangles all angles in the triangle will be less than 90 degrees.
Example of possible angles(acute): 50, 70, 60

As far as differentiating the triangles, you should be able to tell by looking at them, if they are right they’ll have 1 L shape, if they are obtuse they will have one wide angle, and if they are acute all angles will be smaller than the L shape. If it’s not clear by looking at the triangles, you could always use a tool such as a protractor.

Hope this helps- S

14^6 ÷ 14^4 please :)​

Answers

Answer: 196 :)

Step-by-step explanation:

Answer:

196

follow pemdas   (exponents first)

HELP AGAIN PLSSSSSSS

Answers

Answer:

didn't you already do it? im confused

Step-by-step explanation:

A comic book store is having a sale. You can buy 20 comic books for 35$. What is the cost of 8 books during the sale?

Answers

Answer:

$14

No explanation yet.

Answer:

$14

Step-by-step explanation:

14 dollars

Please help! WILL MARK BRAINLIEST

Answers

Answer:

[tex](4,2)[/tex]

Step-by-step explanation:

In our graph only [tex](4,2)[/tex] makes sense

The last one makes an upside-down triangle which is not what we're looking for

The third one makes a weirdly shaped one which we're not looking for

The second one doesn't look like the triangle we're looking for so it's incorrect

This means the first one is correct

Brainliest please

Complete the missing factors

6a^2 + 11b - 35b^2 = ( 3a _______)(2a______)

please help me, thank you.​

Answers

(3a-5b)•(2a+7b)
That’s the answer

what is the slope of the line parallel to the line whose equation is -y = -4x + 7 ?​

Answers

The slope would be 4

-y = -4x + 7

Solve for y

y = 4x - 7

Since the line is parallel to this one, they would have the same slope.

Hello there!

Parallel lines have the same slope.

So if one line has a slope of 4, then the slope of the line parallel to it has a slope of 4 as well.

Hope it helps!

Please mark Brainliest!

~Just a determined gal

[tex]MysteriousNature[/tex] here to help

Find the slope of the line

Answers

The slope is -1/2!
Slope is rise/run
So if you count the rise and run between two point on the graph you will know:)
It is negative because the line is heading down

The final grade on your math exam was determined by the function f(x) = 100 − 2x. Which statements are correct?
A) 100 is the maximum grade.
B) y equals your final grade.
C) This is an exponential function.
D) 2 is what each question is worth.
E) x is the number of correct problems.

Answers

Answer:

A. True

B. True

C. False

D. True

E. False

Step-by-step explanation:

A. True, you cannot get higher than 100 on this test , as you cannot get a negative amount of questions wrongs

B. True, as y = f(x)

C. False, as there is no exponents

D. True, as if x=1, you lose 2 points

E. False, as x is the number of wrong problems

Alyssa paints 3 walls blue. Each of the
walls is 8.3 feet tall and 7.5 feet wide.
Round the length and width to the
nearest whole number. Then estimate
the area that Alyssa will paint.

Answers

Answer:

192

Step-by-step explanation:

The length is 8.3 and the width is 7.5

8.3 to the nearest whole number is 8

7.5 to the nearest whole number is 8

8 x 8 = 64

64 x 3 = 192

The whole area of the wall that Alyssa painted is 192 ft²

What is area?

The area is the region bounded by the shape of an object. The space covered by the figure or any two-dimensional geometric shape, in a plane, is the area of the shape.

Given that, Alyssa paints 3 walls blue. Each of the walls is 8.3 feet tall and 7.5 feet wide.

Since, the length is 8.3 and the width is 7.5

8.3 to the nearest whole number is 8

7.5 to the nearest whole number is 8

Therefore, area = length × width

= 8 x 8 = 64 ft²

Area of 3 walls =

64 x 3 = 192 ft²

Hence, the whole area of the wall that Alyssa painted is 192 ft²

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Select all the options that have the same value as 3 1/2% of 20

Answers

Answer:

0.7, 7/10

Step-by-step explanation:

3.5% of 20 would be 3.5/100x20 = 3.5/5 = 0.7. Also, 0.7 = 7/10.

A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 95% pure antifreeze. The company wants to obtain 285 gallons of a mixture that contains 55% pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?

Answers

Answer:

premium: 165 gallonswater: 120 gallons

Step-by-step explanation:

Let 'a' represent the amount of 95% antifreeze in the mix. Then the amount of water is (285 -a). The mix has this amount of antifreeze in it:

  0.95a +0(285 -a) = 0.55(285)

  a = 0.55/0.95(285) = 165 . . . gallons of 95%

  285 -a = 285 -165 = 120 . . . . gallons of water

There are 120 gallons of water and 165 gallons of premium antifreeze in the mixture.

-2+3y=9 ; y=2x+7 i need help

Answers

Answer:

Here is your 2 answers.

Step-by-step explanation:

First question: -2+3y=9

step 1 simplify first so now it's 3y-2

step 2 add both sides by 2 now its 3y=11

step 3 divide both sides by 3 so on the left both sides should cross out leaving only y=11/3 so this is your first answer

Second question:

I attach the link this question acquires a graph to plot I believe so here is the answer for the second one hope I help please mark brainliest if I did! <3

Help please and thank you!

Answers

they would be confirmation

Answer:

... are ...

Step-by-step explanation:

Verify if the ratio of corresponding sides is same:

Long sides ratio: 38/19 = 2Middle sides ratio: 28/14 = 2Short sides ratio: 20/10 = 2

Since the ratios are same the triangles are similar

May ALG 1A Unit 5 Modified Discussion

Answers

A pattern that increases or decreases at a constant rate is a linear function

Question 1 represents a linear functionQuestion 2 and 3 represent a nonlinear function

Question 1

From the table, we see that:

As x increases by 25, The value of y decreases by 1

The rate of increment/decrement is constant for both variables.

Hence, question 1 represents a linear function

Question 2

From the table, we see that:

As x increases by 2, The value of y increases at different rates

The rate of increment is not constant for variable y.

Hence, question 2 represents a nonlinear function

Question 2

From the table, we see that:

As the steps (i.e. x) increases by 1, The number of blocks (i.e. the value of y) increases at different rates

The rate of increment is not constant for variable y.

The complete table is:

[tex]\mathbf{Step\to Blocks}[/tex]

[tex]\mathbf{1 \to 2}[/tex]

[tex]\mathbf{2 \to 6}[/tex]

[tex]\mathbf{3 \to 12}[/tex]

[tex]\mathbf{4 \to 20}[/tex]

Hence, question 3 represents a nonlinear function

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how many times does 15 go into 142 please no links thank you 71 points

Answers

Answer: 9 times

Explanation
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