What is the solution of the proportion 3/5=13/x ? Round to the nearest tenth if necessary.

Step-by-step explanation:

Step one:

mass of Freight car=25tons

the rate of filling is 1/3 ton per minute

let the time taken to fill the freight car be x

and the total mass after x minute be y

Hence the mass as a function of time is expressed as

y=25+1/3x----------1

mas of dump truck=55tons

rate of being emptied= 1/6 tons per minute

let the time taken to empty the dump truck be x

and the total mass after x minute be y

Hence the mass as a function of time is expressed as

y=55-1/6x----------2

Step two:

equating equations 1 and 2,

1. The tucks will weigh the same in

55-1/6x=25+1/3x

collect like terms

55-25=1/3x+1/6x

30=(2+1/6)x

30=3/6x

30=1/2x

30=0.5x

x=30/0.5

x=60min

or

1 hour

The tucks will weigh the same in  60minutes(1 hour)

2. How much coal will be in each truck when they weigh the same?

For the  train freight car, the weight after 60 minutes is

y=25+1/3(60)

y=25+20

y=55tons

55-25=20tons

There will be 20tons

For the  dump truck, the weight after 60 minutes is

y=55-1/6(60)

y=55-10

y=45tons

55-45=10tons

There will be 10tons

Answer:108 degrees

Step-by-step explanation:

Answer:

Scalene triangle

Step-by-step explanation:

24+48= 72

180-72=108

All three angles are different meaning that the triangle must be a scalene triangle.

Answer:

-7/8

Step-by-step explanation:

the formula for calculating slope for the given coordinates is:

so (2,11) = (x1,y1)

and (10,4) = (x2,y2)

then putting the values in the formula.

Answer

Matilda needs to sell 1376$ worth of coffee

Answer:

2x-6

Step-by-step explanation:

Answer:

The GCF would be 3

Step-by-step explanation:

You’re welcome :)

Answer:

1. A

Step-by-step explanation:

Answer:

(-8/6, 0) is the answer

first is the absicca and the second is the ordinate

Answer:

a. h(t) = 5t + 10

b. 70

c. h(5) = 35 means that in 5 seconds, it will be 35 feet above ground.

Step-by-step explanation:

a. Since the elevator is already 10 feet of the ground, u have to add that in the equation. And since it's 5 feet per second, 5 will be a multiplier so:

h(t) = 5t + 10

b. We have the equation already and in the equation it said that "t" represents the seconds so just replace 1 with 12:

h(12) = 5(12) + 10

h(12) = 60 + 10

h(12) = 70

c. Refer to b that we just did if u will, "t" represents seconds so h(t) becoming h(5) means 5 seconds. So h(5) = 35 means that in 5 seconds, it will be 35 feet above ground.

Answer:

good handwritting the first is 87

Step-by-step explanation:

Answer:

1.99 * 10^4

Step-by-step explanation:

Here, we want to write the addition in standard form

= (1 * 10^4) + (9 * 10^3) + (9 * 10^2)

= 10,000 + 9000 + 900

= 19,900

so the number in standard form is;

1.99 * 10^4

Answer:

top is independent, bottom is dependent

Step-by-step explanation:

top has only 1 answer, bottom has infinite answers

Answer:

x = 7

Step-by-step explanation:

Because this is a right triangle, one angle is a right angle (90°). All triangles have all three angle measures adding up to 180°, so the other two angles' measures add up to 90° (90 + 90 = 180).

Combine like terms of the angle measures.

6x + 9x = 15x

-3 + (-12) = -15

15x - 15

Because the sum of the measures of the two angles have to equal 90,

15x - 15 = 90

Add 15 from both sides.

15x = 105

Divide both sides by 15.

x = 7

To check, substitute 7 in both expressions.

6(7) - 3 = 39

9(7) - 12 = 51

39 + 51 + 90 (the measure of the right angle) = 180, so the value of x is 7.

I hope this helped :)

I think NOQ POL.................................

F. Square root of 39

Step-by-step explanation:

Value of [tex]\boldsymbol{x}[/tex] is [tex]\boldsymbol{\sqrt{39}}[/tex] units.

Option F. is correct.

Two triangles are said to be similar if their sides are proportional and their corresponding angles are equal.

[tex]\bigtriangleup ABD \sim \bigtriangleup CAD[/tex]

[tex]\boldsymbol{\frac{AD}{CD}=\frac{BD}{AD} }[/tex]

  [tex]\frac{x}{13}=\frac{3}{x}[/tex]

  [tex]x^2=39[/tex]

   [tex]x=\sqrt{39}[/tex] units.

Value of [tex]\boldsymbol{x}[/tex] is [tex]\boldsymbol{\sqrt{39}}[/tex] units.

Option F. is correct.

Find out more information about triangle here:

https://brainly.com/question/2773823?referrer=searchResults

Answer:

4t + 8

Step-by-step explanation:

t + 3t = 4t

4t + 8

Answer:

4t+8

Step-by-step explanation:

If you look at your equation t+8+3t you will notice how you have two t parts

part 1: t

part 2: 3t

Since they have the same variable or letter you are able to combine them. When you add them together you get 4t.

Then you just put your 8 back on to the equation! 4t+8

Answer:  27:18 and 13:x can also be written as 27/18 and 13/x

therefore, 27:18 = 13:x

                 27/18 = 13/x

                 27/18 *13= x

               x = 19.5

Hope it helped u,

pls mark as the brainliest

and put thanks

^_^

Answer:

58

Step-by-step explanation:

Answer:

$58

Step-by-step explanation:

Answer:

some thing is broken man

Step-by-step explanation:

Answer:

720 divided by 90

Step-by-step explanation:

72 divided by 9 is 8. 720 divided by 9 is 80 because you're keeping the 0, but when dividing, take away the zeros if both numbers have a zero to make it easier

Answer:

55

Step-by-step explanation:

If the can holds 1/5 of a gallon, he will have to fill it up 5 times to fill 1 gallon of the tank. Since the tank holds 11 gallons, he will have to fill up the can 5 × 11 = 55 times.

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[tex] \frac{1}{R} = \frac{1}{8} + \frac{1}{12} \\ [/tex]

[tex] \frac{1}{R} = \frac{1 \times 3}{8 \times 3} + \frac{1 \times 2}{12 \times 2} \\ [/tex]

[tex] \frac{1}{R} = \frac{3}{24} + \frac{2}{24} \\ [/tex]

[tex] \frac{1}{R} = \frac{3 + 2}{24} \\ [/tex]

[tex] \frac{1}{R} = \frac{5}{24} \\ [/tex]

Inverse both sides

[tex] \frac{R}{1} = \frac{24}{5} \\ [/tex]

[tex]R = \frac{24 \times 2}{5 \times 2} \\ [/tex]

[tex]R = \frac{48}{10} \\ [/tex]

[tex]R = 4.8 \: \: Ω[/tex]

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The correct answer is (( B )) .

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Answer:

its red okay? i hop help

Answer:3:1. Yellow

Step-by-step explanation:

Answer:

1.75

Step-by-step explanation:

By Order of Operations, You read it left to right since Multiplication and Division are of the same importance. You would start with 15/3, which is 5.

Then your equation would be:  5*7/20.

Again, you would just read it left to right, 5*7=35

Then divide by 20, which is 1.75.

Answer:

75%

Step-by-step explanation:

add them together

Answer:

1/6

Step-by-step explanation:

You're welcome :)

Answer:

2.8%

Step-by-step explanation:

(7.4 - 7.2) / 7.2 =

0.2 / 7.2 =

2.7777777777778%

Step-by-step explanation:

subtraction if that wut u askim

Answer:

The longest side length b is approximately 13.172 cm

Step-by-step explanation:

The given parameters are;

The area of the triangle = 22.4 cm²

The given angles of the triangle = ∠97°

The given side of the triangle = 3.7 cm

The formula for the area of a triangle, A = 1/2 × a × b × sin(C)

Where;

a, and b are the side legs forming the angle C

Therefore,  we have;

A = 22.4 = 1/2 × 3.7 × a × sin(97°)

a =  22.4/(1/2 × 3.7 × sin(97°)) ≈ 12.199

a ≈ 12.199 cm

Therefore, by cosine rule, we have;

b² = a² + c² - 2 × a × c × Cos(B)

Substituting the values, gives;

b² = 12.199² + 3.7² - 2 × 12.199 × 3.7 × Cos(97°)

b² ≈ 173.507

∴ b ≈ √173.507 ≈ 13.172

b ≈ 13.172 cm

Answer:

(d).

Step-by-step explanation:

The y-intercept (0, 3) is initial value of graph ⇒ (d). 3 miles; it represents the original distance of the bird from its nest

Answer:

0.2 mile; it represents the original distance of the bird from its nest

Step-by-step explanation: