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3 years ago

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Mathematics

1 answer:

shusha [124]3 years ago

7 0

Answer:

Step-by-step explanation:

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A salsa recipe uses green pepper, onion, and tomato in the extended ration 1 : 3 : 9. How many cups of onion are needed to make

Elanso [62]

Let x be a variable.

Using the ratio and the given number of 117, we can create the following formula:

1x + 3x + 9x = 117, where 3x is the cups of onion

Simplify this equation.

13x = 117

Divide both sides by 13

x = 9

We want to solve for 3x, so multiply both sides by 3

3x = 27

As I started earlier, 3x is how many cups of onions is needed; thus, 27 is our answer. Hope this helps! :)

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3 years ago

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If the probability of a win is 0.5 and the probability of a draw is 0.3, what is the probability of a loss?

Bad White [126]

The probability of loss is 0.2 because they must add up to 1.

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3 years ago

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Ahmad lost 50 dollars from his pocket.<br><br>Write a signed number to represent this change.

IRINA_888 [86]

Answer:

-50

Step-by-step explanation:

it could be X-50=?

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3 years ago

One card is selected from a deck of cards. Find the probability of selecting a black card or a king.

LiRa [457]

Answer:

30/52

Step-by-step explanation:

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2 years ago

The tee for the sixth hole on a golf course is 305 yards from the tee. On that hole, Marsha hooked her ball to the left, as sket

EleoNora [17]

Answer:

Correct answer is option D. 96.4 yd.

Step-by-step explanation:

Please refer to the attached figure for labeling of the given diagram.

ABC is a triangle with the following labeling:

A is the hole, B is the Tee and C is the point where the ball is.

Sides are labeled as:

$a =255\ yd\\c = 305\ yd\\\angle B =17^\circ$

To find:

Side $b = ?$

Solution:

Here, we have one angle and two sides . Third side of the triangle is to be found opposite to the given angle.

We can use cosine formula here to find the value of the unknown side.

$cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}$

Putting all the values:

$cos 17 = \dfrac{255^{2}+305^{2}-b^{2}}{2\times 255\times 305}\\\Rightarrow 0.956 = \dfrac{65025+93025-b^{2}}{155550}\\\Rightarrow 148753.2= 158050-b^{2}\\\Rightarrow b^{2}= 158050-148753.2\\\Rightarrow b^{2}= 9296.795\\\Rightarrow b= 96.42\ yd$

So, the distance between the Ball and hole is 96.42 yd

Correct answer is option D. 96.4 yd.

8 0

3 years ago