9/16=27/x proportions?

Bill wanted to try out different water craft he went 62 mikes downstream in a motor boat and 27 mikes down stream on a jest ski

valina [46]

Answer:

The speed on motorboat is 20 mph

Step-by-step explanation:

here, we want to find the speed on the motorboat

if he has a speed of x mph on the motor boat, his speed on the ski will be (x + 10) mph

The total hours is 4 hours

Mathematically; speed = distance/time

Time on ski is 27/x+ 10

Time on motor boat is 62/x

The addition of both is 4

Thus;

27/(x + 10) + 62/x = 4

27(x) + 62(x + 10) = 4(x)(x + 10)

27x + 62x + 620 = 4(x^2 + 10x)

89x + 620 = 4x^2 + 40x

4x^2 -49x-620 = 0

using the quadratic formula;

{-b ± √(b^2-4ac)}/2a

where a = 4, b = -49 and c = -620

= 49 ± √(-49)^2-4(4)(-620)/8

So we have

49+ 111/8 or 49-111/8

Speed cannot be negative

(49 + 111)/8

= 20 mph

3 0

2 years ago

Mr. Garza's family is attending the local soccer game. He has 30 to spend on food and drinks . The cost of chips is $2 and the c

enyata [817]

Answer:

$6

Step-by-step explanation:

let x and y be the number of chip and pretzel bags respectively : 4x%2B2y%3 C=20 : if x=1 then 4%281%29%2B2y%3C=20--->{{2y<=16}}}--->y%3C=8 : if x=3 then 4%283%29%2B2y%3C=20--->{{2y<=8}}}--->y%3C=4 : so chips 1 and pretzels 8 : chips 3 and pretzels 4.

4 0

3 years ago

If w # 0, what is the additive inverse of the

laila [671]

The additive inverse of the expression -3/w is 3/w

<h3>How to determine the additive inverse?</h3>

The expression is given as:

-3/w

The law of additive inverse states that

For an expression x, the additive inverse is -x

This means that the additive inverse of the expression -3/w is 3/w

Hence, the additive inverse of the expression -3/w is 3/w

Read more about additive inverse at

brainly.com/question/1548537

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If w≠0, what is the additive inverse of the expression below? -3/w

7 0

1 year ago

Two similiar rectangles have corresponding sides in the ratio 10:3. What is the ratio of their areas

lianna [129]

Answer:

Step-by-step explanation:

The ratio of its areas is equal to

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

In this problem the scale factor is equal to the ratio 10:3

Let

z-------> the scale factor

so

z2=(10/3)2=100/9

7 0

3 years ago

Every time you conduct a hypothesis test, there are four possible outcomes of your decision to reject or not reject the null hyp

almond37 [142]

Answer:

1. A. You allow the passenger to board his flight when the passenger has a weapon.

2. B. You select the passenger for further inspection when the passenger has no weapon.

Explanation:

1. Remember, a Type I error in simple words means that the assumption "the passenger has a weapon" (null hypothesis) is actually true, but the airport security screener incorrectly concluded it is false. In other words, he assumed the passenger had no weapon and allowed the passenger to board his flight when he actually did have one.

2. While, a Type II error means that the assumption "the passenger has a weapon" (null hypothesis) is actually false, but the airport security screener incorrectly concluded it is true. In other words, he assumed the passenger had a weapon and selected the passenger for further inspection when he actually didn't have one.

6 0

3 years ago