From midnight to 6:00 am on a winter night the temp steadily decreased dropping 3 degrees each hour. If the temp was 13 degrees at midnight what was the temp at 6:00am.

Write an expression to represent this situation.

Expain why your answers is reasonable and how you were able to determine the temp using rules of intergers.

The graph of the system of inequalities:

y  ≤ (1/4)*x - 2

y  ≥ −(5/4)x +2

Is in the image at the end.

Here we have the system of inequalities:

y  ≤ (1/4)*x - 2

y  ≥ −(5/4)x +2

To graph this, we just need to graph both of the linear equations, and we need to shade the region below the first line (the one with positive slope) and the region above the second line, the one with negative slope.

Then the graph of the system of inequalities is the graph you can see in the image at the end of the answer.

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Answer:

C. It is not proportional because it is not a straight line.

Step-by-step explanation:

You can check to see if it is a straight line by setting up a table and ensuring that the values increase by the same amount every ordered pair.

------> The Answer Is C <------

Hope this helps have a good day :D

9514 1404 393

Answer:

Step-by-step explanation:

1. Sides with the same mark are congruent:

  7x -4 = 31

  7x = 35 . . . . . . add 4

  x = 5 . . . . . . . . divide by 7

Similarly, ...

  4y +8 = 24 . . . sides with 3 hash marks are the same length

  y +2 = 6 . . . . . divide by 4

  y = 4 . . . . . . . . subtract 2

__

2. The (corresponding) right angles at B and D are congruent, and the angle at A is congruent with itself. This means triangles ABC and ADE are similar by the AA theorem. (Your flow chart might be: (show 2 angles the same) → (claim AA similarity).)

Similar triangles have corresponding sides in the same ratio:

  x/3 = (x+4)/13

  13x = 3(x +4) . . . . . . multiply by 3×13

  10x = 12 . . . . . . . . . . subtract 3x

  x = 1.2 . . . . . . . . divide by 10

Answer:

Step-by-step explanation:

25%

80%

60%

100%

25%

MN and QR

Hope it helps...

Answer:

unlock code is 11

A= 27

B=16

C=1

(11)^1 = 11

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

(6x + 7)° + 45° = (13x - 4)° => exterior angle theorem of a triangle

6x + 7 + 45 = 13x - 4

6x + 52 = 13x - 4

Collect like terms

6x - 13x = -52 - 4

-7x = -56

Divide both sides by -7

x = -56/-7

x = 8

The relative frequency is given by the ratio between the number of households in our category by the total amount of households sampled. The total amount of households is 50, because fifty households within District 4 were sampled.

For a number of children under 5 equals to zero, we have 14 households within this category, therefore, the relative frequency for this category is

Using the same logic for the categories, we have

An inequality to explain the reason Heather is incorrect is t > $8.75.

In Mathematics, an inequality can be defined as a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:

From the histogram, we can logically deduce the following information;

Miguel’s work record during Weekend 1 = 9 hours.

Miguel’s work record during Weekend 2 = 7 hours.

Therefore, the total number of hours which Miguel worked in two Weekends is given by;

Total hours = 9 hours + 7 hours

Total hours = 16 hours.

Next, we would calculate the amount of money that Miguel would earn per hour;

Amount = $140/16

Amount = $8.75 per hour.

Note: Let the variable t represent the total earnings.

In conclusion, the correct inequality is t > $8.75.

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Answer:

5 out of 6, or 83%

Step-by-step explanation:

6 sides and since it will not land on 3.  It will be 5/6 which equals 83%

Brett will get paid $55.68 for travelling a total of 87 kilometers at an allowance of 54 cents per kilometer.

According to the International System of Units (SI), one kilometer is equal to 1,000 meters in American English. The United States and the United Kingdom are significant outliers, where the statute mile is the unit of measurement used to express distances between geographical locations on land.

One Kilometer is roughly equivalent to 0.621 miles.

Brett delivers produce for the farmer using his truck.

He gets paid a travel allowance of 64 cents per kilometer.

So to calculate his total allowance we multiply the allowance with the distance travelled.

Brett gets paid: $0.64×87=$55.68

Hence Brett gets paid $55.68. So the first option is correct.

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PRICES COUNTS COSTS

8 e 8e

10 420-e-t 10(420-e-t)

12 t 12t

420 3920

system%28e%2B420-e-t=5t%2C8e%2B10%28420-e-t%29%2B12t=3920%29

First equation gives highlight%28t=70%29.

Second equation simplifies to e-t=140.

Substitution gives highlight%28e=210%29.

Quantity of $10 tickets by difference, highlight%28140%29

Answer:

the letter f isn't stated at all so f is a good choice

Step-by-step explanation:

Answer:

--------------------

The range of the given function has one restriction, its denominator can't be zero, hence:

Therefore the function can get any value but zero:

The matching answer choice is D.

Linear function is f(x) = mx + b.

Reciprocal of a function f(x)  is 1/f(x).

So the reciprocal of linear function has a form of f(x) = 1 / (mx + b).

The only answer choice in same form is D.

Substitute x = - 5/3 into function to get:

This is undefined value, therefore it represents the vertical asymptote.

The function gets close to - ∞ when x → - 5/3 from left and gets close to +∞ when x → - 5/3 from right (see attached graph).

Therefore the correct choice is B.

The amount insurance company will pay is $700000.

We are given that

Age of Mr. lewis= 63

Policy value= $700,000

Now,

If Mr. Lewis dies after paying for the policy for 24 months, he would have paid a total of 24 * $72 = $1728 in premiums. Since he has a five-year level-term life insurance policy with a face value of $700,000, his beneficiaries would receive the full face value of the policy if he dies within the five-year term.

Therefore, by algebra the answer will be $700000.

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Answer:5

Step-by-step explanation:

5098

The statement that when constructing a congruent line segment to cd the ray needed for the construction must be shorter than cd is false

The statement implies that:

Congruent lines have equal lengths

This means that the ray needed for the construction must have the same length as the line segment cd

Hence, the statement that when constructing a congruent line segment to cd the ray needed for the construction must be shorter than cd is false

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Answer:

She will make $793.8.

Step-by-step explanation:

You just divide for example 291.60/9 which gets you 32.4, which is how much she earns an hour

Answer:

$793.8

Step-by-step explanation:

Divide the amount of money earned by the number of hours worked.

For example: 291.60 ÷ 9 = 32.4

Multiply the answer by 24.5

32.4 × 24.5 = 793.8

Answer: 4,588.4 cubic centimeters.

Step-by-step explanation: 20 centimeters ⋅ 14 centimeters = 280 centimeters = 4588.38 cubic centimeters = 4,588.4 cubic centimeters.

Answer:

Below.

Step-by-step explanation:

The zeros are  -4 and 0.

Axis of symmetry is x = -2

Maximum is 4.

Vertex is at (-2, 4).

y-intercept is at (0,0)

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of periods is given as follows:

5 + 6 + 4 = 15.

The frequency of each class is given as follows:

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The total cost equation can be written as:

Total Cost = 32000 + 9000L

What is total cost?

Total cost refers to the complete amount of money or resources that are required to produce or obtain a particular good or service. It includes all of the expenses associated with production, such as labor costs, materials costs, overhead costs, and any other costs necessary to manufacture or acquire the product.

The total cost equation can be expressed as:

Total Cost = Fixed Cost + Variable Cost

where Fixed Cost is the cost that does not vary with the number of laptops manufactured and sold, and Variable Cost is the cost that depends on the number of laptops manufactured and sold.

In this case, the fixed monthly cost is $32,000 and it does not depend on the number of laptops manufactured and sold. The variable cost is the cost of manufacturing each laptop, which is $9,000 per laptop.

If L is the number of laptops manufactured and sold per month, then the variable cost can be expressed as 9000L. Therefore, the total cost equation can be written as:

Total Cost = 32000 + 9000L

This equation represents the total cost of manufacturing and selling L laptops per month. The fixed cost of $32,000 is added to the variable cost of $9,000 per laptop multiplied by the number of laptops sold, L, to obtain the total cost.

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Complete question: A business manufactures and sell laptops. Each laptop is sold for 14000.the fixed monthly cost is 32000 and it cost 9000 to manufacture each laptop. let L be number of laptops manufactured and sold per monthly. What is the total cost equation?

Answer:

6.25

Step-by-step explanation:

I hope im right! tell me if I'm wrong alr? stay safe :)

Answer: She started with 28 pieces of candy.

Step-by-step explanation: In the beginning of the question it says that heather took 8 pieces. Then she divided the rest evenly amongst her 5 kids. Each received 4, so that make the equation 8+(5x4) which gives us 8+(20). Or 8+20 which is 28.

Answer:

She started with 28 candies.

Explanation:

Let the total amount of candies be c

Build equation:

→ remaining: c - 8

→ each gets: (c - 8)/5

Here given each gets 4 candies

So,

(c - 8)/5 = 4

c - 8 = 5(4)

c - 8 = 20

c = 20 + 8

c = 28

Let's start by defining some variables:

Let's call Jamal's age "J".

Let's call Alex's age "A".

From the problem statement, we know that:

J = A - 5 (Jamal is 5 years younger than Alex)

J * A = 300 (the product of their ages is 300)

We can use the first equation to substitute J in the second equation:

(A - 5) * A = 300

Expanding the left-hand side:

A^2 - 5A = 300

Moving all terms to the left-hand side:

A^2 - 5A - 300 = 0

We can solve for A using the quadratic formula:

A = (-(-5) ± sqrt((-5)^2 - 41(-300))) / (2*1)

A = (5 ± sqrt(25 + 1200)) / 2

A = (5 ± sqrt(1225)) / 2

Since A is a positive integer, we take the positive solution:

A = (5 + 35) / 2 = 20

Now we can use the first equation to find J:

J = A - 5 = 20 - 5 = 15

Therefore, Jamal is 15 years old.

Answer:

2, 13, 17.5, 35, 59

Step-by-step explanation:

Minimum, quartile Q1, median, quartile Q3, maximum

Step-by-step explanation:

x = number of quarters.

y = number of dimes.

z = number of pennies.

0.25x + 0.1y + 0.01× = 1.05

but it is not possible to find a combination of a subset of the coins to create exactly 1 (= the change for $1).

like to have only 3 quarters and 3 dimes (and no pennies). that makes $1.05, and no combination can create exactly $1.

as a consequence

x < 4 (because 4 quarters is $1, and more than 4 quarters is already more than $1.05).

z < 5 (because with 5 or more pennies, since the total sum is $1.05, if I simply remove 5 pennies, I get $1 with the other coins, no matter what combination they are).

with 1 or 2 or 3 or 4 pennies I cannot build a total sum of $1.05, as the other coins will can only build a sum that ends in 0 or in 5.

so, the sum of these other coins and 1, 2, 3, 4 pennies can never end in 5.

that means, we have 0 pennies.

that rules out to have 0 or 2 quarters, because then together with the dimes the sum can only end in 0 (and actually also give change for $1).

so, we can have only 1 or 3 quarters.

that means the solutions are

1 quarters and 8 dimes

or

3 quarters and 3 dimes.

1 quarter and 8 dimes (and 0 pennies) is the desired solution, because it contains more coins.

for the maximum amount of money built by coins not providing change for $1 we need to remember :

4 quarters are $1 (and would provide change for $1). so, we always need less than 4 quarters. but also at least 1 quarter to keep the sum from ending with a 0 (which would allow again to build $1).

10 dimes are $1 (and provide change for $1). we always need less than 10 dimes.

5 or more pennies would always allow to take away or fill up to create a sum that ends in 0 and therefore build $1. so, we always need less than 5 pennies.

that means again

1 or 3 quarters

max. 9 dimes

4 pennies.

if the the maximum possible sum would be higher than 1.19, then we could only increase in steps of 0.10 (dimes) : 1.29, 1.39, ...

if the sum is 1.29, I could remove 1 quarter and 4 pennies to make $1.

if it is 1.39, I could remove 1 quarter, 1 dime and 4 pennies to make $1.

and so on.

any sum >= 1 created incl. 4 or more quarters or 10 or more dimes or 5 and more pennies can always be reduced to a full $1.

$1.19 can only be built by 1 quarter and 9 dimes and 4 pennies, so that we cannot build $1 out of a subset, or by 3 quarters, 4 dimes and 4 pennies.

and 1 quarter, 9 dimes and 4 pennies has more coins.

Answer:

do You need help?

Step-by-step explanation: