MATHEMATICS HIGH SCHOOL

If D varies directly with t and D is 105 when t is 3, find D when t is 8

Answers

Answer 1
Answer:

Answer:

Value of D when t is 8 is:

280

Step-by-step explanation:

If D varies directly with t

⇒ D=kt for some constant k

D is 105 when t is 3

⇒ 105=3k

⇒ k=105/3

⇒ k=35

⇒ D=35t

when t=8

D=35×8

⇒ D=280

Hence, Value of D when t is 8 is:

280
Answer 2
Answer: 105÷3=35 so you would do 8×35 and get 280

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How many ounces of trail mix are in a bag that weighs 0.908 kilograms? Input only numeric values. (1 pound = 0.454 kg and 1 pound = 16 ounces)

Answers

Answer:

There is 32 ounces of trail mix are in a bag that weighs 0.908 kilograms.

Step-by-step explanation:

Given :  1 pound = 0.454 kg and 1 pound = 16 ounces.

To find : How many ounces of trail mix are in a bag that weighs 0.908 kilograms?

Solution :

We know,

1 pound = 0.454 kg

i.e. 1\text{ kg}=(1)/(0.454) \text{ pounds}

So,  0.908\text{ kg}=(0.908)/(0.454) \text{ pounds}

0.908\text{ kg}= 2 \text{ pounds}

Now, 1 pound = 16 ounces

i.e. 2 \text{ pounds}=16* 2\text{ ounce}

2 \text{ pounds}=32\text{ ounce}

Which means 0.908\text{ kg}=32\text{ ounce}

Therefore, There is 32 ounces of trail mix are in a bag that weighs 0.908 kilograms.

Answer:

32 ounces

Step-by-step explanation:

A 26‘long painting is how many yards long?

Answers

Hello! 

If a painting is 26 feet long, it's 8 and 2/3 yards long.

This is because there is 3 feet in a yard. You would do 26 divided by 3. You would get 8 yards and have 2 feet left. Obviously 2 feet is smaller than a yard, so it'd be 2/3 of a yard. Therefore the answer is 8 and 2/3 yards.

Hope this helped! :)

Melissa walked at a rate of 88 feet per minute. what was her approximate speed to the nearest tenth of a mile per hour? 0.1 miles per hour 1.0 miles per hour 2.8 miles per hour 8.8 miles per hour

Answers

Answer:

Melissa walked at a rate of 1.0 miles per hour.

Step-by-step explanation:

As given

Melissa walked at a rate of 88 feet per minute .

As

1\ minutes = (1)/(60)\ hour

1\ feet = (1)/(5280)\ hour

Now convert 88 feet per minutes into miles per hour.

(88\ feet)/(minutes)= (88* (1)/(5280))/((1)/(60))\ miles\ per\ hour

(88\ feet)/(minutes)= ((88)/(5280))/((1)/(60))\ miles\ per\ hour

(88\ feet)/(minutes)= (0.017)/(0.017)\ (Approx)\ miles\ per\ hour

(88\ feet)/(minutes)= 1.0\ miles\ per\ hour

Therefore the Melissa walked at a rate of 1.0 miles per hour.
88x60=5280
I believe it's 1 mile. 

Write an algebraic equation for the following. The product of three and a squared number is twice the sum of the number and four.

Answers

3*x^2 = 2*(x+4)

x is the unknown number

Find the distance between the two points in simplest radical form. The points given are (1,8) and (6,-4).​

Answers

Answer:

d = 13 units

Step-by-step explanation:

calculate the distance d using the distance formula

d = \sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2 }

let (x₁, y₁ ) = (1, 8 ) and (x₂, y₂ ) = (6, - 4 )

substitute these values into the formula for d

d = √((6-1)^2+(-4-8)^2)

  = √(5^2+(-12)^2)

  = √(25+144)

  = √(169)

  = 13 units

Are lines of symmetry for any given polygon also diagonal?

Answers

yes it can be    !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
yes it is as long as the line your making is making the shape symmetrical
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