james is building a 10-inch by 12-inch rectangular picturee frame. To assure the frame has right angles, james measures thew two diagonals to se if they are equal.When the diagonals are equal, how long is each diagonal?

Answer:

Manny should keep the old car since he gets to spend less on it in three years compared to getting the fuel-efficient car.

Step-by-step explanation:

Step 1:

Number of miles Manny commutes per week = 160

Cost per gallon of gasoline. = $2.9

Mileage of old car = 20 miles per gallon

Maintenance cost per year of old car = $760

Cost of new car = $7000

Maintenance cost per month of new car = $10

Mileage of new car = 31 miles per gallon

Step 2:

There are 52 weeks in a year. Total distance Manny will commute in 3 years = 160 * 52 * 3 = 24960 miles

Maintenance cost of old car in 3 years = $760 * 3 = $2280

Maintenance cost of new car in 3 years = $10/month * 12 months * 3 = $360

Gasoline usage of old car in 3 years = 24960 miles/20 miles per gallon = 1248 gallons

Cost of gasoline = 1248 * $2.9 = $3619.2

Gasoline usage of new car in 3 years = 24960 miles/31 miles per gallon

Cost of gasoline = $2.9 * 24960 miles/31 miles per gallon = $2334.97 or approximately $2335

Step 3:

Total expenditure on old car for 3 years = $2280 + $3619.2 = $5899.2

Total expenditure on new car for 3 years = $7000 + $360 + $2335 = $9695

From the calculations above, Manny will spend $5899.2 on the old car compared to $9695 on the new car in three years.

Therefore, Manny should keep the old car since he gets to spend less on it in three years compared to getting the fuel-efficient car.

Answer:it c

Step-by-step explanation:

The Graph representation corresponds to a decreasing speed with an increasing time.

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.

Given:

We have the table

Time        Speed

  0               0

  2               15

  4               25

  6               45

  8               70

So, the rate of change

= (15-0) / (2-0)

= 15/2

= 7.5

and, the rate of change

= (25-15) / (4-2)

= 10/2

= 5

and, the rate of change

= (45-25) / (6-4)

= 20/2

= 10

and, the rate of change

= (70-45) / (8-6)

=  25/2

= 12.5

As, the rate of change is increasing.

and, from the graph the slope is decreasing as time increases.

Learn more about graph here:

https://brainly.com/question/17267403

#SPJ6

Answer:

the first one

Step-by-step explanation:

remember, in a function, x can only have one y, whereas y can have more than one x

Answer:

The first one (the one with the months)

Step-by-step explanation:

A function is when an x value doesn't have more that one y value (y can have more than one x value, though). On the teachers and pets one, Ms. Valverde has two pets, so that doesn't count. On the shapes one, the orange square is pointing to another orange square and a triangle, so that doesn't count. The last one has 7 equaling to 12 and 13, so that doesn't count. The one with the months doesn't have any x values with more than one y value, so it is a function.

Answer:

17 1/2

Step-by-step explanation:

To divide a whole number and a fraction, write the whole number as a fraction (in this case, 5 becomes 5/1). Then, change the division symbol to a multiplication symbol. After that, you flip the second number and multiply. As you can see, you get 35/2 as the answer. To simplify that, divide 35 by 2. The answer becomes the whole number, the divisor becomes the denominator, and the remainder becomes the numerator. That means our simplified answer is 17 1/2.

Answer: 212,836

Step-by-step explanation:

Answer:

5 years

Step-by-step explanation:

2500 x 0.04 = 100

500/100 = 5

Answer:

I think its 8 because 8 plus 8 is 64

Answer:

[tex]y=-2x+12[/tex]

Step-by-step explanation:

We can use the point-slope form given by:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

So, we will substitute -2 for m and (5, 2) for (x₁, y₁). This gives us:

[tex]y-(2)=-2(x-(5))[/tex]

Simplify:

[tex]y-2=-2(x-5)[/tex]

Distribute:

[tex]y-2=-2x+10[/tex]

Add 2 to both sides. Hence, our equation is:

[tex]y=-2x+12[/tex]

Answer:

100

Step-by-step explanation:

In 17.92, the 7 is in the ones digit, so its value is 7.

In 92.17, the 7 is in the hundredth digit, so its value is 0.07

7 is 100 times 0.07

Answer:

12 = 4 (k - 6) (use the distributive property to get rid of the parentheses)

12 = 4k -24 (add 24 to both sides to isolate the k-term)

36 = 4k (divide both sides by 4 to get k all alone)

k = 9 (your answer)

Step-by-step explanation:

I hope this helped :))

Answer:

dddddd

Step-by-step explanation:

Answer:

it is an equalateral triangle on a line. equalateral triangle all angles are the same. 180 degrees in a triangle so the angle in the triangle must be 60 degrees.

180 degrees on a straight line so 60 pus 40 = 100 which means 8x is 80

80 + 40 = 120 degrees

Answer:

d

Step-by-step explanation:

Answer:

D. 2 1/4.

Step-by-step explanation:

First, convert both -5 1/4 and -7 1/2 into improper fraction. These would be -21/4 and -15/2.

-21/4 - (-15/2)

Two negatives in a row make a positive.

-21/4 + 15/2

Double both the numerator and denominator of 15/2 to make it have the same denominator as -21/4. This would 30/4.

-21/4 + 30/4

Put -21 + 30 over 4 to make it a single fraction.

(-21 + 30)/4

Add -21 and 30 to get 9.

9/4

Convert 9/4 into a mixed number: 2 1/4

The answer to -5 1/4 - (-7 1/2) is 2 1/4, which is D.

Answer:

pi/6

got it right on plato

Answer:

5678

Step-by-step explanation:

Answer:

(2,6)

Step-by-step explanation:

Hope this helps!

Answer:

x = 2; y = 6

Step-by-step explanation:

y=3x

x+y=8 [substitute y for 3x]

x+3x=8; 4x=8; x=2

if x=2, y=3x or y=3(2) = 6

Answer: B. Cannot be determined

Step-by-step explanation:

Answer:70

Step-by-step explanation:

Answer:

What do you need help with

Step-by-step explanation:

Answer:

180.4 inches (15.033 feet)

Step-by-step explanation:

To solve this, we convert 15.3 feet to inches. We do this by multiplying 15.3 by 12. This gets us 183.6. Now, we subtract 3.2 from 183.6. This gets us 180.4. That means the piece cut off of 180.4 inches long. To convert this to feet, we divide by 12. That gets us 15.033. That means the piece cut off is 180.4 inches long, or 15.033 feet long.

Answer:

A.(2,100)

have a nice day and I hope it helps

Answer:

A

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

The statement itself is wrong in the textbook is given that if a number is a rational then it si the additive inverse of the stsrement

Answer:

The scaled factor is 3.

Step-by-step explanation:

Consider the figure shown below:

It is given that: A rectangle N has an area of 5 square units. James drew a scaled version of Rectangle N and labeled it Rectangle P.

We need to find the scale factor which is used by James.

First, we will calculate the area of Rectangle P by counting the number of squares shown in the figure.

Area of rectangle P = 45 square unit

Let x be the scaled factor.

To scale the rectangle we need to multiply both the length and breadth of the rectangle N by x and the scaled area should be equal to 45.

[tex][x\times \text{Length} ][x \times \text{breadth}]=45[/tex]

[tex]x^2(\text{Length} \times \text{breadth})=45[/tex]

It is given that area of the rectangle N is 5 square units, so put length time breadth as 5.

[tex]x^2(5)=45[/tex]

[tex]x^2=9[/tex]

[tex]x=3[/tex]

Hence, the scaled factor is 3.

Answer:

x=18

Step-by-step explanation:

ok, so you mulityply base and hieght then divide by 2

your base is 6 and your height is 6

6x6=36

36/2=18

your welcome

Answer:

P(white ball)=0.29

Step-by-step explanation:

12 yellow balls

5 red balls

7 white balls

12+5+7=24

so 24 balls in the bag

[tex]\frac{7}{24}[/tex]=0.2916

rounded to the nearest is 0.29

Answer:

21

Step-by-step explanation:

47.67 divided by 2.27 = 21

Answer:

It is not linear

Step-by-step explanation:

Lemme see....

Answer:Percent Error:: 33 1/3 %

Step-by-step explanation:hope this helps and sorry if its wrong