you have a $3125 student loan. suppose you pay the loan off in two and a half years(30 months). estimate your monthly payment by ignoring interest and rounding down the amount owed. (round your answer to the nearest dollar.)

Answer:

a) 5 - mn

Step-by-step explanation: its correct

The simplified version of the expression would be 31-w

The numerical part of the expression given is :

Simplifying using Subtraction operation:

Adding the alphabetical part :

Therefore, the simplified form of the expression is 31-w.

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The answers for the questions are:

1) The dimensions of poster are 44cm by 56cm

2) The smallest poster area needed is 5328 square centimeter

3) The orientation that uses the lesser poster area is portrait.

4) He needs to trim 4.4cm of the height of poster

A rectangle is a quadrilateral with opposite sides equal and all angles 90°

Analysis:

1) since there are 3 photos per row, the spacing for the three photos are 4. Also since there are 3 photos on the column, the spacing would be 4

 width of poster = 2x4 + 3x12 = 8 + 36 = 44cm

  Height of poster = 4x2 + 3x16 = 56cm

2) possible combinations, are 8 picture on a row and 3 picture on a column

     width = 9spacing x 2cm + 8 pictures x 12 = 114cm

   length = 4 spacing x 2 + 3pictures x 16 = 56cm

   12 pictures on a row and 2 pictures on a column

     width = 13 spacing x 2cm + 12 pictures x 12 = 170cm

      length = 3 spacing x 2cm + 2 pictures x 16 = 38cm

    6 pictures on a row and 4 pictures on a column

      width = 7 spacing x 2cm + 6 pictures x 12 = 72cm

       length = 5 spacing x 2cm + 4 pictures x 16 = 74cm

    The smallest area is 74 x 72 = 5328 square centimeter

3.  For portrait,

     width = 6 photos x 12cm + 7 spacing x 2cm = 86cm

      length = 3 pictures x 16cm + 4 spacing x 2cm = 56cm

     For landscape,

     width = 6 photos x 16cm + 7spacing x 2cm = 110cm

      length = 3 pictures x 12cm + 4 spacing x 2 = 44cm

     The lesser poster area is portrait orientation with 86 x 56 = 4816 square centimeter.

4. Let the equal spacing be P

   for full width = 62cm

    4pictures x 12cm + 5 spacing x P = 62

   48 + 5p = 62

   5P = 62-48

   5P = 14

   P = 14/5 = 2.8cm

   length of poster using equal spacing of 2.8cm

   length would take 6 photos

   6 photos x 16 + 7 spacing x 2.8 = 115.6cm

   original length of poster is 120cm

  so he would need to trim  (120-115.6) = 4.4cm

In conclusion, The answers to the questions are:

1) dimensions of poster are 44cm by 56cm

2) The smallest poster area needed is 5328 square centimeter

3) The orientation that uses the lesser poster area is portrait

4) He needs to trim 4.4cm of the height of poster

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Answer: x=3y−5

Step-by-step explanation: 6y=2x+10

Swap sides so that all variable terms are on the left hand side.

2x+10=6y

Subtract 10 from both sides.

2x=6y−10

Divide both sides by 2.

2

2x

​ =

2

6y−10

​

Dividing by 2 undoes the multiplication by 2.

x=

2

6y−10

​

Divide 6y−10 by 2.

x=3y−5

Answer:

Option 1, 3 and 5 are correct

Step-by-step explanation:

Given

Eggplants = $1.79 each

Apples = $0.59 each,

Bags of spinach = $2.55 each

Cartons of orange juice = $3.89 each

Required

Select three true statements

To do this, we'll check the options one after the other

1. 4 eggplants cost about $0.50 less than 3 bags  of spinach

First, we need to calculate the cost of 4 eggplants

4 Eggplants = 4 * 1 Eggplants

4 Eggplants = 4 * $1.79

4 Eggplants = $7.16

Next, we calculate the cost of 3 bags of Spinach

3 bags of Spinach = 3 * 1 bag of Spinach

3 bags of Spinach = 3 * $2.55

3 bags of Spinach = $7.65

Determine the difference

Difference = |Eggplants - Bags of Spinach|

Difference = |$7.16 - $7.65|

Difference = |-$0.49|

Difference = $0.49

This statement is true because $0.49 approximates to $0.50

2. Total cost of 4 apples and 2 eggplants $0.50 is more than $6.00

First, we need to calculate the cost of 4 apples

4 Apples = 4 * 1 Apples

4 Apples = 4 * $0.59

4 Apples = $2.36

Next, we calculate the cost of 2 Eggplants

2 Eggplants = 2 * 1 Eggplant

2 Eggplants = 2 * $1.79

2 Eggplants = $3.58

Add this two results together

Total = 4 Apples + 2 Eggplants

Total = $2.36 + $3.58

Total = $5.94

This statement is false because the sum is less than $6.00

3. Total cost of 4 eggplants, 4 apples and 1 carton of orange juice is $13.41

In (1) & (2) above

4 Eggplants = $7.16

4 Apples = $2.36

1 carton of orange juice = $3.89

Add the above together

Total = $7.16 + $2.36 + $3.89

Total = $13.41

This statement is true because the sum is $13.41

4. Total cost of 5 eggplants is greater than cost of 4 bags of spinach

First, we need to calculate the cost of 5 eggplants

5 Eggplants = 5 * 1 Eggplants

5 Eggplants = 5 * $1.79

5 Eggplants = $8.95

Next, we calculate the cost of 4 bags of Spinach

4 bags of Spinach = 4 * 1 bag of Spinach

4 bags of Spinach = 4 * $2.55

4 bags of Spinach = $10.20

This statement is false because 4 Eggplants costs less than $ bags of spinach

5. Total cost of 2 eggplants, 2 apples and 2 cartons of orange juice is $9.99 more than cost of 1 bag of spinach

From (2) above

2 Eggplants = $3.58

Next, we need to calculate the cost of 2 apples

2 Apples = 2 * 1 Apples

2 Apples = 2 * $0.59

2 Apples = $1.18

Next, we need to calculate the cost of 2 cartons of orange juice

2 Cartons = 2 * 1 Carton

2 Apples = 2 * $3.89

2 Apples = $7.78

Sum these up

Total = $3.58 + $1.18 + $7.78

Total = $12.54

1 Bag of spinach = $2.55 each

Subtract 1 Bag of spinach from the $12.54

Difference = $12.54 - $2.55

Difference = $9.99

This statement is true because the difference is $9.99

Using proportional reasoning, we can predict that there will be 40 red candies in the large bag.

Using proportional reasoning, we can set up and solve the following equation to determine the number of red candies in the large bag:

P = Proportion of red candies in the large bag

R = Red candies in the small bag

R × (33/9) = P

12 × (33/9) = P

P = 40 red candies in the large bag

Therefore, using proportional reasoning, we can predict that there will be 40 red candies in the large bag.

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Answer:

m=25/28

Step-by-step explanation:

Answer:

A)

Step-by-step explanation:

3+3=6 6>5

3+5=8 3<8

A)

Answer:

The answer is 50 cars per hour

Step-by-step explanation:

Simply divide 400 by 8 to get your answer

Hope that helps!

Answer:

A.) yes because the scale does not start at 0

Step-by-step explanation:

edge

Answer:

A

Step-by-step explanation:

The answer is 4 because the frequency is the number of cycles completed in one interval. Typically, the interval given is 2π. Here, you can count the cycles and get 4.

Answer:

250

Step-by-step explanation:

1540*100 divided by 616

Answer:

-2

Step-by-step explanation:

The median is the middle number in a sorted, ascending or descending list of numbers and can be more descriptive of that data set than the average.

After answering the provided question, we can conclude that rotations equation per minute = angular speed divided by (2pi) = 1656.19 rad/min divided by (2pi) = 263.02 revolutions/min

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x + 3" equals the value "9". The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

Secondly, we must convert the speed from miles per hour to inches per minute since we want our final result in radians per minute.

1 mile equals 63360 inches (by definition)

1 hour equals 60 minutes

Therefore:

55 miles per hour = 55 * 63360 inches per hour / (1 mile per hour) = 3,484,800 inches per minute

We can now calculate the linear speed of a point on the wheel's rim:

Wheel circumference = pi * diameter = pi * 42 in. = 131.95 in.

3.484,800 in/min linear speed

angular speed = linear speed / (diameter/2) = (3,484,800 in/minute) / (42 in./2) = 1656.19 rad/min (rounded to two decimal places)

To get the number of revolutions per minute, divide the angular speed by 2*pi:

rotations per minute = angular speed divided by (2pi) = 1656.19 rad/min divided by (2pi) = 263.02 revolutions/min

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6 divided by 1.

Step-by-step explanation:

5/6 divided by 6/1 will give 5/6* 1/6 = 5/36

Answer: y = 40

Step-by-step explanation:

we know 5x=40 so the 2 bottom angles combined are 80

so you have 2y+20=100

2y=80

y=40

Answer:

\(\frac{3}{5}\) x \(\frac{10}{7}\)

Step-by-step explanation:

Answer:

Mathematics plays an important role in our lives, it helps us calculate things, to how much salt we put in our recipes, to how much air should go in our tires. Grocery shopping and architectural services. We use math almost everyday, and people who have jobs like, accountants, math teachers, and bankers, who all use numbers and math. In conclusion math is important because it is used almost everyday, and most people all around the world, the same, use it to help them do stuff in an everyday course.

The domain of the function is x ∈ [ -4, ∞ )

Here, we are given a function as follows-

y = \(\sqrt{x + 4}\)

Now, domain is the set of all input values that a function can take. Or in other words, it is the set of all values that the independent variable can take such that the function exists.

Here, the independent variable is x

We know that square root of a negative number is imaginary. Thus, for y to be real, (x + 4) must be greater than or equal to 0

⇒ (x + 4) ≥ 0

x ≥ -4

This means that for all values of x greater than or equal to -4, the function exists.

Thus, the domain of the function is x ∈ [ -4, ∞ )

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Your question was incomplete. Check for missing content below-

What is the domain of the function y = sqrt(x + 4)?

Answer:

7 km?

Step-by-step explanation:

Answer:

Always true or 0 = 0

Step-by-step explanation:

This equation simplifies to 0 = 0 I will show in several steps.

1. (-15x - 10) - (x - 3) = (-16x - 20) + 13

2. -16x - 7 = -16x - 20 + 13

3. 0 = 7 - 20 + 13

4. 0 = 0

Hope this helps! (Please consider giving brainliest)

Answer:

all real value for x

Step-by-step explanation:

5(- 3x - 2) - (x - 3) = -4(4x + 5) + 13

Distribute

-15x -10 -x+3 = -16x -20 +13

Combine like terms

-16x-7 = -16x -7

Add 16x to each side

-16x-7 +16x= -16x -7+16x

-7 = -7

This is always true so x is all real values

Answer:

375

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

A trapezoid is a quadrilateral which has one pair of opposite sides parallel. ... In a rhombus, the opposite sides are parallel. If two pairs of sides are parallel, then one pair of sides is obviously parallel, meaning the shape is a trapezoid

The probability of the area hit by the dart between the bigger square and the smaller square is equal to 0.7656.

As given in the question,

Total number of squares present = 2

Side length of the bigger square = 16 units

Side length of the smaller square = 14 units

Area of the bigger square = ( side length )²

                                           = ( 16 )²

                                           = 256 square units

Area of the smaller square = ( side length )²

                                           = ( 14 )²

                                           = 196 square units

Here favorable outcome is represented by small square and total outcome is represented by bigger square

Probability that the given dart hit the area between the square is

= 196 / 256

= 49/64

= 0.765625

≈ 0.7656

Therefore, the probability of the dart hitting the area formed by bigger square and smaller square is equal to 0.7656.

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Answer:

7 of 3 wheels and 5 of 2 wheels .

Step-by-step explanation:

3 *7=21

2*5=10

21+10=31

so there are 7 of the 3 wheels and 5 of the 2 wheels

Answer:

55

Step-by-step explanation:

The first we need to do is find the other angle measures. The left angle must be supplementary with 110, so it must measure 70. The right angle must be supplementary with 125, so it must measure 55. The sides of an angle add up to 180, so 180-70-55= 55

The angle of x is 55°.

There is 180° in a triangle. First, we need to calculate the angles of the other two sides. A straight line also forms 180°. Therefore the first angle will be

180 - 110= 70°

The second angle will be

180 - 125 = 55°

Angles of the triangle excluding x will be

70 + 55  =  125°

Since there is 180° in a triangle, x will be

180 - 125=  55°

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Answer:

Step-by-step explanation:

False. They have one point in common meaning there is only 1 solution.

Answer:

24

Step-by-step explanation:

Volume to fill =  1 x 2 x 3/2 = 3  cm^3

Volume of cube to fill this volume  1/2 * 1/2 * 1/2 = 1/8 cm^3

3/ (1/8) = 24

Answer:

I think its √12 = 3.464

Step-by-step explanation:

sorry if I'm wrong I hope y'all do great though