An athlete eats 85 grams of protein per day while training. How much is this in milligrams ?

Answers

Answer 1

Answer: Answer: 85,000 milligrams

1 gram= 1,000 milligrams

85 × 1,000 = 85,000 milligrams

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quiz 4-1 : classifying and solving for sides/angles in triangles gina wilson (all things algebra) URGENT

Answers

Answer:

14.

$x = 11$ $m<B = 108$ $m<C= 36$ $m<D = 36$

15.

$x = 4$ $WX = 25$ $XY = 17$ $WY = 25$

Step-by-step explanation:

Solving (14):

$BC = BD$

$m<B = 13x - 35$

$m<C = 5x - 19$

$m<D = 2x + 14$

First, we solve for x.

Since sides $BC = BD$ , then

$m<C = m<D$

This is so because the theorem of ASA (Angle-Side-Angle)

So, we have:

$5x - 19 = 2x + 14$

Collect Like Terms

$5x - 2x = 19 + 14$

$3x = 33$

Divide both sides by 3

$x = 11$

Solving for m<B, m<C and m<D.

We simply substitute 11 for x in their respective expressions.

$m<B = 13x - 35$

$m<B = 13*11 - 35$

$m<B = 143 - 35$

$m<B = 108$

$m<C = 5x - 19$

$m<C= 5*11 - 19$

$m<C= 55 - 19$

$m<C= 36$

$m<D = 2x + 14$

$m<D = 2*11 + 14$

$m<D = 22 + 14$

$m<D = 36$

Solving (15):

$<X = <Y$

$WX = 9x - 11$

$XY = 4x + 1$

$WY = 7x - 3$

First, we solve for x.

Since $<X = <Y$ , then

$WX = WY$

This is so because the theorem of SAS (Side-Angle-Side)

So, we have:

$9x - 11 = 7x - 3$

Collect Like Terms

$9x - 7x = 11-3$

$2x = 8$

Divide both sides by 2

$x = 4$

Solving for WX, WY and XY

We simply substitute 4 for x in their respective expressions.

$WX = 9x - 11$

$WX = 9 * 4 - 11$

$WX = 36 - 11$

$WX = 25$

$XY = 4x + 1$

$XY = 4 * 4 + 1$

$XY = 16 + 1$

$XY = 17$

$WY = 7x - 3$

$WY = 7 * 4 - 3$

$WY = 28 - 3$

$WY = 25$

-6(x - 6) = x(16 - 7)
Help please

Answers

Answer:

the answer would be x equal 2.4

Step-by-step explanation:

sorry for my bad handwriting

Misu sheet owner of the bedspread shop knows his customers will pay no more than $135 for a comforter misu wants a 20% makeup on cost roundup instead of a selling price what is misus price

Answers

i say that the anwser is 429 good luck

A submarine descends 1/120 mile every minute. Write a product of three or more rational numbers to represent the change in the submarines elevation after 3 hours. Then find the value of the product and explain what it represents.

Answers

9514 1404 393

Answer:

(1/120 mile/min)(60 min/h)(3 h)

1.5 mile

the increase in depth after 3 hours

Step-by-step explanation:

The rate is given in terms of miles per minute. To find the elevation after 3 hours, we need a conversion from minutes to hours. One possible product is ...

(1/120 mile/min)(60 min/h)(3 h)

The value of this product is ...

(1·60·3)/(120·1·1) mile = 1.5 mile

The value represents the increase in depth after 3 hours.

Final answer:

The product of three rational numbers is 1.5, which represents the change in the submarine's elevation after 3 hours.

Explanation:

To represent the change in the submarine's elevation after 3 hours, we need to find the product of the descent rate per minute and the total number of minutes in 3 hours. The descent rate per minute is 1/120 mile, and there are 60 minutes in an hour. So, the product is:

(1/120) * (60 * 3)

Simplifying the expression:

(1/120) * 180 = 1.5

The value of the product, 1.5, represents the total change in the submarine's elevation after 3 hours. Since the submarine is descending, the elevation decreases by 1.5 miles.

Learn more about Rational Numbers here:

brainly.com/question/36880638

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On her way to work, a commuter encounters four traffic signals. Assume that the distance between each of the four is sufficiently great that her probability of getting a green light at any intersection is independent of what happened at any previous intersection. The first two lights are green for forty seconds of each minute; the last two, for thirty seconds of each minute.What is the probability that the commuter has to stop at least three times?

Answers

The probability that the commuter has to stop at least three times is at least 5.55%.

Since on her way to work, a commuter encounters four traffic signals, assuming that the distance between each of the four is sufficiently great that her probability of getting a green light at any intersection is independent of what happened at any previous intersection, and the first two lights are green for forty seconds of each minute; the last two, for thirty seconds of each minute, to determine what is the probability that the commuter has to stop at least three times the following calculation must be performed:

4/6 = 2/3 = 0.66666
0.5 x 0.5 x 0.333 = 0.083333
0.5 x 0.333 x 0.333 = 0.055555

Therefore, the probability that the commuter has to stop at least three times is at least 5.55%.

Learn more in brainly.com/question/23273737

Answer:

7 in 36 or 0.1944

Step-by-step explanation:

The probability of having to stop at least three times is the probability of getting 3 or 4 red lights.

For the first two lights, the probability of getting them red is 20 in 60 (1/3).

For the last two lights, the probability of getting them red is 30 in 60 (1/2).

The probability of all of them being red is:

$P(R=4) = (1)/(3)*(1)/(3)*(1)/(2)*(1)/(2)\nP(R=4) =(1)/(36)=(1)/(36)$

The probability of three of them being red (3 red + 1 green) is:

$P(R=3) = {(1-(1)/(3))*(1)/(3)*(1)/(2)}*(1)/(2)+(1-(1)/(3))*(1)/(3)*(1)/(2)*(1)/(2)+(1)/(3)*(1)/(3)*(1-(1)/(2))*(1)/(2)+(1)/(3)*(1)/(3)*(1-(1)/(2))*(1)/(2)\nP(R=3) =2*((2)/(3)*(1)/(3)*(1)/(2)*(1)/(2))+2*((1)/(3)*(1)/(3)*(1)/(2)*(1)/(2))\n P(R=3) =(4)/(36)+(2)/(36)\n P(R=3) =(6)/(36)$