If D varies directly with t and D is 108 when t is 4, find D when t is 7.

Answers

Answer 1

Answer: D $\alpha$ t
D=kt
108=k(4)
108=4k
k= $(108)/(4)$
k=27
The equation connecting D and t is;
D=27t
When t=7,
D=27*7
D= 189

Answer 2

Answer:

Answer:

189

Step-by-step explanation:

Given : D varies directly with t and D is 108 when t is 4

To Find: Find D when t is 7

Solution:

D varies directly with t

D ∝ t

So, $D=kt$

where k is the constant of proportionality

Now we are given that D is 108 when t is 4

So, $108=k(4)$

$(108)/(4)=k$

$27=k$

Thus the constant of proportionality i.e. k = 27

So, $D=27t$

Now substitute t = 7

So, $D=27(7)$

$D=189$

So, D = 189 when t = 7

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A game has a rectangular board with an area of 44 in2. There is a square hole near the top of the game board in which you must not toss in a bean bag. The square has side lengths of 3 in. What is the probability of not tossing the bag through the hole?A)9/44
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A small child makes 3 piles of blocks in a room. Each pile has 4 blocks. In another room, he makes 6 more piles of blocks. These piles also have 4 blocks each. To count the total number of blocks, his sister counts that there are 3 times 4, or 12 blocks, in one room and 6 times 4, or 24 blocks, in the other room for a total of 36 blocks. Using the distributive property, what is another way she could have counted the blocks?

Answers

4(3×6) is another way she could have counted them using distributive property which equals 36

The length of a rectangle is 5cm longer than its width.If the perimeter of the rectangle is 66cm, find its length and width.

Answers

Answer:

width is 14, length is 19

Step-by-step explanation:

let w represent the width of the rectangle.

"The length of a rectangle is 5 cm longer than its width."

You can take from this that you must add 5 to the width to get the length.

so, you can now write that L=w+5 .

The formula for perimeter is 2w+2L.

You can plug the values in.

2w+2(w+5) is the expression you get.

use distributive property on the 2(w+5) to get 2w+ 2w+10 . Add same terms together and get 4w+10, which represents the perimeter.

"..The perimeter of the rectangle is 66 cm."

Set the simplified expression 4w+10 to 66 to get

4w+10=66

Subtract 10 from both sides and get

4w=56

divide by four for both sides and get w=14 .

We are not done yet!

To find the length, plug the width back into our formula L=w+5 and get L=14+5. The length is 19.

When a grizzly bear hibernates, it's heart rate drops to 10 beats per minute, which is 20% of its normal value. What is a grizzly bears normal heart rate when not hibernating?

Answers

Answer:

His normal heart rate is 50 beats per minute.

Step-by-step explanation:

Since when it is hibernating it beats 10 times per minute and that is 20 % of the normal volume we can use a rule of 3 to find his normal herat rate. If 10 times per minutes is 20% of its normal volume then x times per minutes is 100%. So we have:

10 -> 20%

x -> 100%

10/x = 20/100

20x = 1000

x = 50 beats per minute

Answer:

50 beats per minute

Step-by-step explanation:

To find the heart hate of a grizzly bear when not hibernating, we need to get the heart rate when hibernating (10 beats per minute) and make it equal to 20% in a rule of three, where we want to know the 100% value (normal heart beat rate):

10 beats per minute -> 20%

X beats per minute -> 100%

10/X = 20/100

X = 100 * 10/20 = 50

PLEASE HELP ASAP , what is the approximate area of the figure ( there is a picture)