A man traveled 108 km at an average speed of 72 km/h. He returned at an average speed of 54km/h. What was his time for the whole journey?

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Answer:

9.85

Step-by-step explanation:

I hate these, LOL

We're going to draw a triangle on the graph paper to solve this. (in theory)

The top point is at 2 on the x axis, and the bottom is at 6. That's a difference of 4. Draw a line from the top dot over 4 spaces, so a line dropped from there could go straight to the bottom dot. We'll call this line/side of the triangle a, and a = 4.

Then we drop the line from there (6, 4) down to the second dot at (6, -5). That line is 9 places long. We'll call this line/side of the triangle b, and b = 9.

(This is so much easier to draw than type, I'll attach a picture).

Then we connect the two dots diagonally to form line/side c of our triangle. This is the length we don't know.

The pythagorean theorem says a^2 + b^2 = c^2

So a = 4, b = 9, c is unknown for our triangle

(4)(4) + (9)(9) = c^2

16 + 81 = 97

The square root of 97 = 9.8488, so if they have you round, I would say 9.85

Sorry if this just confused you more.

Answer:

C. -26=x

Step-by-step explanation:

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

9x-6=10x+20

9x-10x=20+6

-x=26

-x/-1=26/-1

x= -26

Answer:

The area of triangle AED = (x^2-xy)/2

Step-by-step explanation:

Mathematically, the area of a square is the product of its side lengths

Thus, if the area is x^2; then the side of the square measures x

So each of the side of the square has a measure x units

Now, for the base of the square;

EC = ED + DC

x = ED + y

ED = x - y

Mathematically, the area of a triangle is the product of the base and the height of the triangle divided by 2

The height here is x and the base is (x-y)

We have this as;

Area of triangle AED =

1/2 * x * (x-y)

= (x(x-y))/2

= (x^2-xy)/2

Answer:

Given: BC || AD and AB || CD. Prove: AB = CD. Complete the ... 4. 5. △ABC ≅ △CDA. 5. 6. AB = CD. 6. ______ a) Transitive Property b) Given c) CPCTC.

Step-by-step explanation:

Answer:

4(x + 8) is equivalent to 4x + 32, 4x + 8(4),

2(2x + 16)

Step-by-step explanation:

4(x + 8)

4 × x + 4 × 8

4x + 32

Thus, 4(x + 8) is equivalent to 4x + 32, 4x + 8(4),

2(2x + 16)

-TheUnknownScientist

Answer:

10x + 15

Step-by-step explanation:

x - 1 = 1 (2).

x + 4 x 10x + 15 / 2.445

x + 4 (2) / 2.445 = x1 - 4

10x + 15

all triangles have 180 total degrees, we know this

80 degrees are accounted for, so there's 100 left

3x - 25 = 100

3x = 125

x = 41.67

Answer:

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

-4 + (-1) - (-3) = -2

Answer:

36

Step-by-step explanation:

yes it may be gets 48 flavoure

Answer:

9x = 120

x= [tex]\frac{43}{3}[/tex]

Step-by-step explanation:

Answer:

672.12

Step-by-step explanation:

Answer:

[tex]y=\frac{-4}{3} +9[/tex]

Step-by-step explanation:

Slope-intercept form is y-mx+b. To find slope-intercept form solve for y.

First, subtract 4x from both sides,

3y=-4x+9

Then, divide both sides by 3,

y=-4/3x+3

Answer:

Maybe 74

Step-by-step explanation:

42+64=106

180-106=74

Answer:

Step-by-step explanation:

Given triangle prism with:

Total surface area:

Answer:

Amount of loan pay = $6.840 (Approx.)

Step-by-step explanation:

Given:

Amount of loan borrow = $4,500

Rate of interest = 15% = 0.15

Number of year = 3 year

Find:

Amount of loan pay

Computation:

Future value = Present value[1+r]ⁿ

Amount of loan pay = Amount of loan borrow[1+r]ⁿ

Amount of loan pay = 4,500[1+0.15]³

Amount of loan pay = 4,500[1.15]³

Amount of loan pay = 4,500[1.52]

Amount of loan pay = $6.840 (Approx.)

Answer:

Step-by-step explanation:

The best interpretation of P(3) = 12 is that if the length of the sides of the square is 3 units, then the perimeter of the square is 12 units.

A square is a two-dimensional figure that has four sides and all four sides are equal.

The area of a square is side²

We have,

The best interpretation of P(3) = 12 is that if the length of the sides of the square is 3 units, then the perimeter of the square is 12 units.

i.e

Since the function P is defined as the perimeter of the square in terms of its side length S,

We can substitute S = 3 into the function and get P(3) = 12.

This means that the sum of the four sides of the square when its length is 3 units is equal to 12 units.

Thus,

The best interpretation of P(3) = 12 is that if the length of the sides of the square is 3 units, then the perimeter of the square is 12 units.

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Answer:

8x40=320

Step-by-step explanation:

According to the given question we can infer that here are 320 books in the bookcase.

If Trey has a bookcase with 8 shelves, and each shelf has 40 books, the total number of books in the bookcase can be calculated by multiplying the number of shelves by the number of books per shelf.

Total number of books = Number of shelves × Number of books per shelf

Total number of books = 8 shelves × 40 books per shelf

Calculating the multiplication:

Total number of books = 320 books

Therefore, there are 320 books in the bookcase.

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Answer:

Solve it, you can do it!

Step-by-step explanation:

Multiply 4 2/3 and then divide what you get with 7

Answer:

1.5 or 1 1/2

Step-by-step explanation:

4 2/3 / 7

14/3 / 7

3 * 7 = 21

21/14 =

1.5

edit 1: i changed the / to an or to make it less confusing

Answer:

The width of the frame must be 12 inches (15in by 12in)

Step-by-step explanation:

Given

See attachment for painting and frame

Required

Determine the dimension of the frame

To do this, we make use of the following scale ratio.

[tex]Scale = Length : Width[/tex]

For the painting,

[tex]Scale = 20: 16[/tex]

For the frame,

[tex]Scale = 15: w[/tex]

Since she wants to maintain the same ratio; both scale must be the same.

i.e.

[tex]15 : w = 20 : 16[/tex]

Express as fraction

[tex]\frac{w}{15} = \frac{16}{20}[/tex]

[tex]\frac{w}{15} = 0.8[/tex]

Make w the subject

[tex]w = 15 * 0.8[/tex]

[tex]w = 12[/tex]

The width of the frame must be 12 inches i.e. 15in by 12in frame

Answer:  A≈314.16

Step-by-step explanation: A=πr2=π·102≈314.15927

Answer:

M = 20; R = 40

Step-by-step explanation:

R = 2M

L = R + 10

L = 50

50 = R + 10

(Take away 10 from both sides)

50 - 10 = 40

40 = R

Remember, R = 2M

40 = 2M

(Divide both sides by 2)

40 / 2 = 20

20 = M

Answer:

Step-by-step explanation:

We see the relationship is closer to linear in the interval 30 to 40

Approximate points:

The slope of the line:

The line is:

At x = 40, the value of y would be:

The closet option is B

Answer:

132 Cubic Inches, Search up how to find the the surface area for rectangular prism it helps!

Answer: A

Step-by-step explanation:

The correct option is A.

In mathematics, an exponential function is a function of form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

Given is that a graph,

So, from the graph we can concluded that it is an exponential and positive function,

Therefore, as x increases y also increases.

We know that the exponential function is given by =

y = abˣ

So, when x = 0, y = 100,

100 = a × b⁰

a = 100

When x = 4, y = 150,

150 = 100 × b⁴

b⁴ = 1.5

b = 1.11

y = 100(1.11)ˣ

Change = 110-100 / 100 × 100% = 10%

Therefore, we can say the value of a $100 stock grows in value by 10% each year.

Hence the correct option is A.

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Answer:

The product of 6x5/3 will be greater than 6 because the fraction 5/3 is greater than 1.

Step-by-step explanation:

Note: If any fraction which the numerator and denominator have the same number , for example 6/6 it will equal to 1. If the numerator overpasses the denominator, it will be more than 1.

Answer:

AC=2.35

Step-by-step explanation:

tan25=AC/BC

0.47=AC/5

AC=2.35

hope it helps

have a great day!!

Answer:

n ≥ 12.5 weeks

Step-by-step explanation:

Weekly savings = at least $16

n = number of weeks

At least in inequality means ≥

16n ≥ 200

n ≥ 200/16

n ≥ 12.5 weeks

12.5 weeks until she has saved $200