A silo containing 800 gallons of grain is emptied at a constant rate of 400 gallons every 1
hour.
Enter an equation in the form y = mx + b that represents the amount of grain y, in gallons,
remaining in the silo after x hours.

Answers

Answer 1

The equation of the line is y = -400x + 800

What are linear equations?

Linear equations are equations that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

How to determine the equation that represents the amount of grain?

The given parameters are

Initial number of gallon, c = 800

Constant rate, m = -400 gallons per hour

This means that

Slope = -400

y-intercept = 800

A linear equation is represented as

y = slope * x + y-intercept

i.e.

y = mx + c

So, we have

y = -400x + 800

Hence. the equation of the amount of grain is y = -400x + 800

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Related Questions

A line passes through the point (-8,3) and has a slope of -5/4
Write an equation in slope intercept form for this line

Answers

Answer:

y=2x+13

that is the slope of the intercept

In the diagram below, KJ is congruent to LJ. If m of angle J = 98° and m of angle K = 11x+8, determine the value of x.

Answers

X=3
1. Use the given information KJ is congruent to LJ:
Given line segment KJ and line segment LJ are congruent you know their opposite side angles are also congruent
2. Find the angle measures:
Given that J= 98 you know angle K+L equals to 180-89, this is because they are congruent therefore they must equal what is left. After you divide by 2 to split the remaining amount evenly which states angle K = 41 and angle L = 41
3. Set up the equation:
Knowing angle K is 41 and given that it’s also 11x+8 you set up the following algebraic equation: 11x+8=41
4. Solve for x:
11x+8=41 | subtract 8 from both sides
11x=33 | divide by 11
X=3

at the end of the season, a team’s ratio of wins to losses was 3:5. if there were no ties, what percentage of its games did the team win? (show work)

A.) 33 1/3%
B.) 37 1/2%
C.) 40%
D.) 62 1/2%
E.) 75%

Answers

As per given data of end of the season , ratio of teams win to losses is 3:5 and no ties, then percentage of game win by team is equal 37 1/2%.

As given in the question,

For the given dat of end of season,

Ratio of teams win to losses is equal to 3:5

Let x be the percentage of game

As per given ratio we have,

3x+ 5x =100%

⇒ 8x = 100

⇒x =100/ 8

⇒ x= 12.5

Percentage of winning the game by team = 3x

                                                                   = 3(12.5)

                                                                   = 37.5%

                                                                   = 37 1/2%

Therefore, for given data of end of the season , ratio of teams win to losses is 3:5 and no ties, then percentage of game win by team is equal 37 1/2%.

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14.2 to 1 decimal place

Answers

The answer is 14.2

the position of a digit after the decimal point, each successive position to the right having a denominator of an increased power of ten.

The only number after the decimal is 2 so the answer is 14.2 it is already to one decimal place.
if the question was 14.25 to one decimal place for example it would be 14.3 as you’d have to round up.
Hope this helps

Please help I don't know how to do this and I was wondering if someone could help.

Answers

Applying the concept of the or operation, the solution to the given inequality is as follows:

r < -5/8 or r ≥ 3/8.

How to find the or operation between two data sets?

Considering two data-sets, the or operation between them is the set composed by all the elements that belong to at least one of the data-sets.

In the case of an inequality, the data set is represented by the intervals.

The first inequality is:

0.5r + 3 < 7/4.

0.5r < 7/4 - 3

r/2 < -5/4 (as -3 = -12/4)

r < -5/8.

The second inequality is:

-r + 3/4 ≤ 3/8

-r ≤ 3/8 - 3/4

-r ≤ -3/8 (as 3/4 = 6/8)

r ≥ 3/8 (multiply by -1, hence the signal also changes).

As the intervals do not intersect, the solution to the inequality is given as follows:

r < -5/8 or r ≥ 3/8.

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1a)Determine whether the relation is a function. (3,-3) (-3,3) (2,-2) (-2,-3) and explain.



1b)If the relation in 1a is a one to one?explain.


I really need help on this question but if anyone wants to help it would be greatly appreciated! 20 points for this!

Answers

Part a

It is a function because each x-value matches with only one y-value.

Part b

No, because the x-values of 3 and -2 both correspond to a y-value of -3.

Which of the following functions is graphed below?

Answers

The most appropriate choice for function and graph of a function will be given by-

Option D is correct

What is function and graph of a function?

A function from A to B is a rule that assigns to each element of A a unique element of B.

Set of all points of the form (x, f(x)) is called graph of a function.

Here,

There is a hollow circle on y = 5 line and the function continues upwards

Also,

[tex]=\lim_{x \to 1} y(x)\\= \lim_{x \to 1} x^2 + 4\\= 1^2 + 4\\=5[/tex]

Now, there is a solid circle on y = -1 line and the function continues downward

So there is an equality on x = 1 downward

Now f(1) = [tex]1^3-2[/tex]

             = -1

So the appropriate graph will be

[tex]\left \{ {x^3 - 2, {x \leq 1} \atop x^2+1, {x > 1}} \right.[/tex]

D is correct

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Complete Question

Which of the following functions is graphed below?

The image has been attached

A submarine to study changes in the sea level of the Pacific Ocean
descends 420 feet below sea level. 3 hours later, it makes an ascent
of 170 feet. What is the submarine's new position?

Answers

It should be 250 feet below sea level

I'm stuck in this word problem pls help me ty​

Answers

Answer:

GREAT question i have no idea

Step-by-step explanation:

(1) 51.4 - 2.6*w = 9.6+1.2*w
(2) 51.4-9.6 = 1.2w+2.6w
So 41.8 = 3.8w
So w = 41.8/3.8 = 11
11 weeks until the same weight

PLEASEEEE HELP LE OUT!!!


The steps a student preformed to solve the equation 7h - ( 3h - 5) = 2(h - 7 ) are shown below. Explain each step the student preformed to solve the equation

Answers

Answer:

[tex]{ \sf{7h - (3h - 5) = 2(h - 7)}} \\ \\ { \sf{7h - 3h + 5 = 2h - 14}}[/tex]

[distributive property open brackets ]

[tex]{ \sf{4h + 5 = 2h - 14}}[/tex]

[simplification of either sides]

[tex]{ \sf{4h - 2h = - 14 - 5}}[/tex]

[operating similar terms]

[tex]{ \sf{2h = - 19}} \\ [/tex]

[simplification]

[tex]{ \sf{h = \frac{ - 19}{2} }}[/tex]

K
Assume that when human resource managers are randomly selected, 64% say job applicants should follow up within
two weeks. If 7 human resource managers are randomly selected, find the probability that exactly 4 of them say job
applicants should follow up within two weeks.
The probability is.
(Round to four decimal places as needed.)
BCEXIS

Answers

Using the binomial distribution, there is a 0.2740 = 27.40% probability that exactly 4 of them say job applicants should follow up within two weeks.

For each manager, there are only two possible outcomes, either they say that job applicants should follow up within two weeks, or they do not say it. The opinion of a manger is independent of the opinion of any other manager, hence the binomial distribution is used to solve this question.

What is the binomial distribution formula?

The formula for the probability of x successes is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are given by:

n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.

In the context of this problem, the parameters are given as follows:

n = 7, p = 0.64.

The probability of exactly 4 saying that applicants should follow up within two weeks is P(X = 4), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{7,4}.(0.64)^{4}.(0.36)^{3} = 0.2740[/tex]

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In the figure shown, lines fand g are parallel.
Select the angle that is congruent to angle 1.

(A.) Angle 2
(B.) Angle 6
C.) Angle 7
D. Angle 8

Answers

I know the answer bc I did this already it’s a angle 2
D because their congruent

Simplify (9x^3+2x^2-5x+4)-(5x^3-7x+4)

Answers

[tex]=9x^{3} +2x^{2} -5x+4-5x^{3} +7x-4\\=9x^{3} -5x^{3} +2x^{2} -5x+7x+4-4\\=4x^{3} +2x^{2} +2x[/tex]

Be remined for the second expression affects the signs of all the terms inside the brackets.

In a cinema there are 28 rows and in each row is 22 seats Each ticket coast 8.10 work out an estimate for the total income from the ticket sales

Answers

As there are 28 rows and in each row has 22 seats, then, the estimate of  the total income from the ticket sales equals to $4,989.60.

What is known as total income?

In a general sense, a total income means the gross income from all sources less certain deductions such as expenses, allowances and reliefs. But in the question context, it means the revenue, which is the total amount of income generated by the sale of goods and offering of services related to the primary operations of the business.

Given data

Cinema have 28 rows

Cinema have 22 seats per row

Each ticket cost 8.10

Total Income = $8,10 * 28 rows * 22 seats

Total Income = $4989.60

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A circle P is circumscribed about a regular hexagon ABCDEF

a. central

b. exterior

c. interior

d. inscribed

Answers

It is True to state that Arcs AB, BC, CD, DE, EF, FA in the circumscribed hexagon are all equal. See the explanation below.

What is a regular hexagon?

In geometry, a hexagon is a six-sided polygon. A regular hexagon is one in which the lengths of all the sides and the measurements of all the angles are identical. The sides of a regular hexagon are therefore equivalent.

Allow point P to be the hexagon's and circle's center.

The dimension of arc AB is the same as the measure of central angle APB, which are both 360/6 = 60 degrees. This also applies to the other arc measurements. The whole 360-degree circle is divided into six equal parts, each measuring 60 degrees.

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Full Question:

Although the question seems incomplete you may have been referring to this:


A circle P is circumscribed about a regular hexagon ABCDEF

Arcs AB, BC, CD, DE, EF, FA are all equal

Select one:

a. False

b. True

solve for X on each of them and find the measurements of the angles

Answers

The unknown angles are as follows:

∠1 =  67.9°, ∠2 = 22.08°∠1 = 129°, ∠2 = 51°∠1 = 13.5°, ∠2 = 13.5°

How to solve angles?

complementary angles are angles that sum up to 90 degrees.

in other words, When two angles add to 90°, we say they "Complement" each other.

Therefore,

9x + 2x + 7 = 90

11x = 90 - 7

11x = 83

x = 83 / 11

x = 7.54

Therefore,

∠1 = 9(7.54) = 67.9°

∠2 = 2(7.54) + 7 = 22.08°

Supplementary angles are angles that sum up to 180 degrees.

Therefore,

3x + 8  + 9x = 180

12x + 8 = 180

12x = 180 - 8

12x = 172

x = 172 / 12

x = 14.3

Hence,

∠1 = 9(14.3) = 129°

∠2 = 180 - 129 = 51°

Vertically opposite angles share the same vertex.  Vertically opposite angles are equal.

Therefore,

9x = 3x + 9

9x - 3x = 9

6x = 9

x = 9 / 6

x = 3 / 2

x = 1.5

Therefore,

∠1 = 9(1.5) = 13.5°

∠2 = 13.5°

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If it is windy, then we will go sailing today.
A. If we go sailing today, then it is windy.
B. If it is windy, then we will not go sailing today.
C. If we do not go sailing today, then it is not windy.
D.If it is not windy, then we will not go sailing today.

Answers

D, wind is great for sailing

PLEASE HELP ASAP!!!!!!!!!!

Answers

Answer:

picture pls

Step-by-step explanation:

I need clearer pic pls

What math is being used here? (Subject names)# 3

Answers

subtraction if you’re talking about what operation is being used
Subtraction.

210.5 miles - 135.8 miles = 74.7 miles

Please help!!! How are tjhey parallel!?

Answers

Answer:

yeah

Step-by-step explanation:

They do not intersect???

why is the answer that tho

Answers

What is the question?

Answer:

question tho??

-3[10+4(x-2)] all subtracted from 20

Answers

The value of the expression is 74 - 12x

What are expressions?

Expressions are mathematical statements that are represented by variables, coefficients and operators

How to evaluate the expression?

The expression is given as

-3[10+4(x-2)] all subtracted from 20

When represented as an expression, we have the following mathematical representation

20 - (-3[10+4(x-2)])

Open the brackets in the above expression

So, we have

20 - (-3[10+4(x-2)]) = 20 - (-30+12(x-2)])

Open the brackets in the above expression

So, we have

20 - (-3[10+4(x-2)]) = 20 - (-30 + 12x - 24)

Open the last brackets in the above expression

So, we have

20 - (-3[10+4(x-2)]) = 20 + 30 - 12x + 24

Evaluate the like terms in the above expression

So, we have

20 - (-3[10+4(x-2)]) = 74 - 12x

Hence, the equivalent expression of the expression "-3[10+4(x-2)] all subtracted from 20" is 74 - 12x

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what is 7/30 as a decimal

Answers

Answer: 7/30 as a decimal is 0.23333333333333

Hope this helps!

7/30 in a decimal is 0.23333333333333

Help me: Brainliest +lots of points
The line segment joining points (2,6) and (6,2) forms a diagonal of a square. Which of the following could be the coordinates of another vertex of that square?

Answers

Answer:

(2,2) and (6,6) would be the other two points to the square.

Step-by-step explanation:

Answer:

(2,2) or (6,6)

Step-by-step explanation:

looking at the graph you can see the diagonal of a square and I just followed the points if that make sense please tell me if you need more

which number should replace s to make the equation below TRUE?

s divided by 4 = 7

Answers

The number that should replace s to make the equation true is 28.

What number should replace s?

An equation in mathematics is an expression that has an equal to sign, =. An expression is a statement in mathematics that is made up of at least one variable and number.

s divided by 4 = 7

s ÷ 4 = 7

In order to determine the value of s, multiply both sides of the equation by 7. Multiplication is the process that is used in mathematics to determine the product of two or more numbers. The sign that represents multiplication is × . Multiplication is a mathematical operation. Other operations in mathematics are addition, subtraction and division.

(s ÷ 4) x 4 = 7 x 4

s = 28

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Evaluate u + xy, if u = 18, x = 10, and y = 8​

Answers

The value of  u + xy, if u = 18, x = 10, and y = 8​ is 98

What are algebraic expressions?

Algebraic expressions are defined as mathematical expressions that are made up of constants, variables, coefficients, terms and factors.

These algebraic expressions are also composed of arithmetic operations, such as;

SubtractionAdditionDivisionMultiplicationParenthesesBracket, etc

Given the expression;

u + xy

Where;

u = 18x = 10y = 8

Now, substitute the values into the expression;

18 + 10(8)

expand the bracket

18 + 80

Add the values

98

Hence, the value is 98

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ANSWER QUICK!!!!

You use floor tiles to help you learn a new dance move. You move 2 tiles right and 3 tiles up. Then you move 1 tile left and 1 tile down. Rewrite the composition as a single translation.

Answers

The given composition as a single translation is (x,y)→(x+1,y+2) .

In the question,

two translation are given , we have to write the composition of two translation in a single translation ,

we choose arbitrary points (x,y) in the tile , and find the horizontal and vertical shift in the coordinates of point after both translations .

let A(x,y) be an arbitrary point in the tile

So , by the first translation

"move 2 tiles right and 3 tiles up" ,

after first translation, the coordinates are  A'(x+2,y+3)

The second translation "you move 1 tile left and 1 tile down" ,  will map A'(x+2,y+3) to

A"(x+2-1 , y+3-1)

= A"(x+1 , y+2)

Therefore , the single translation rule for the composition is (x,y)→(x+1,y+2)    .

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tony uses 12 4 1 and 7 to make a new number

Answers

Answer:

ishbekshbrishdhtjekdhhfjeid

pls help will give brainliest

Answers

The given point were reflected about the line y = x and the coordinates the reflected point (-5 , 3)  is (3, - 5)

According to the question, given that

point reflected line y =x,

Reflected point coordinates of (-5, 3), then find the coordinates of the point after in the line of symmetry :

(-5, 3) →  (3, - 5)

A reflection is referred to as a twist in geometry. A reflection is the mirror image of shape . A line, called the line of reflection, will agree an image to reflect without change it. When all of the points in a figure are evenly spaced apart from one another, the two figures are said to reflect each other. The reflected picture should have the same size and shape as the original, but it faces the opposite way. Changes in position during contemplation may also result in translation. Pre-image and image are terms used to refer to the same thing in this context. ABC and A'B'C are used to represent the pre-image and image, respectively.

A reflection point is similar to staring at a flipped mirror picture of yourself.

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a refrigerator was originally priced at $250. it was then put on sale for 20% of. what is the number of dollars in the final price of the refrigerator if an additional 15% is taken off from the sale price?

Answers

The final price of the refrigerator after the additional 15% discount is $170

Given

The original sale price of the refrigerator  = was $250

Given a 20 % discount on the original price, the new sale price would be as follows

Sale price = original price - Discount

                 = [tex]250-(\frac{20}{100} )250[/tex]

Sale price = $200

After this an additional 15% discount is given on new sale price.

So again deducting the discount from the sale price we get,

Sale price = 200 - discount(15%)

                = [tex]200-(\frac{15}{100} )200[/tex]

Sale price = 170

Hence the final sale price after discount is $170

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