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3 years ago

What is the value of x?

Mathematics

1 answer:

Kamila [148]3 years ago

7 0

Answer:

x = 3

Step-by-step explanation:

$\sin \: 45 \degree = \frac{BC}{6 \sqrt{2} } \\ \\ \frac{1}{ \sqrt{2} } = \frac{BC}{6 \sqrt{2} } \\ \\ BC = 6 \\ \\ \cos \: 60 \degree = \frac{x}{BC } \\ \\ \frac{1}{2} = \frac{x}{6 } \\ \\ x = \frac{6}{2} \\ \\ x = 3$

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Ramiro earns $20 per hour during the week and $30 per hour for overtime on the weekends. One week Ramiro earned a total of $650.

nika2105 [10]

Answer:

Week=25 Hours

Weekend= 5 Hours

Step-by-step explanation:

So we need to use the info they gave us and create two equations. Firstly we know how much he gets paid per hour during the week (x) and how much he gets paid on the weekend (y).

$20x+$30y=$650

We get this because we know the combined rates he is paid times the hours should add up to the amount he earned.

The next equation will be made off of the information that he worked 5 times as many hours during the week as on the weekend. This tells us that we will take the weekend hours (y) and multiply them by 5 in order to get the week hours (x).

x=5y Now, since we have one variable by itself, we can plug it in for x in the first equation.

20(5y)+30y=650 Our first step here is to distribute the 20 to the 5y in order to eliminate the parenthesis.

100y+30y=650 Next add the like terms together (100y+30y).

Now all we have to do to find y is divide by 130 on both sides to get y alone.

130y=650

________

130 130

y=5 Now to solve for x we just plug our y value into one of the equations above. I'm going to use the second equation.

x=5(5)

x=25

3 0

3 years ago

Paolo is using his grandmother’s cookie recipe. He always doubles the amount of chocolate chips and oats. The recipe calls for 2

nalin [4]

<u>Answer:</u>

y = 94.5 cups

<u>Step-by-step explanation:</u>

Let's say:

y = oats
x = chocolate chips = 212

=> Full Recipe = 212 + y

=> 2(Full Recipe) = 2(212 + y) = 613 cups

=> 2(Full Recipe) = 424 + 2y = 613 cups

=> 2y = 613 - 424

=> 2y = 189

=> y = 94.5

Therefore, the required oats to do double the recipe is 94.5 cups.

Hoped this helped.

$GeniusUser$

8 0

2 years ago

7. A baseball has a radius of 2 inches. What is the volume in cubic inches of

Sever21 [200]

Answer:

33.49

Step-by-step explanation:

Volume of a sphere formula= 4/3πr^3

Radius= 2

Plug the radius into the formula to get your answer.

8 0

3 years ago

Mid#6 what kind of transformation converts the graph of

nexus9112 [7]

Answer:

the correct answer is x/9 and you graph it

5 0

3 years ago

Read 2 more answers

Chocolate chip and peanut butter cookies are randomly chosen from a cookie jar and placed onto a plate. The first plate had four

soldier1979 [14.2K]

Answer:

3 peanut cookies

Step-by-step explanation:

Given that :

Plate 1:

Number of chocolate chip = 4

Number of peanut butter cookies = 1

Probability of drawing chocolate chip cookies from plate 1 :

Probability =( number of required outcome / Total possible outcomes)

P(chocolate chip) = 4 / 5

Plate 2:

Number of chocolate chip = 2

Number of peanut butter cookies = p

P(chocolate chip) = 2 / (2 + p)

Probability of drawing chocolate chip from plate 1 and then plate 2 = 8/ 25

(4/5) * 2/(2+p) = 8/ 25

8 / (10 + 5p) = 8/ 25

8(10 + 5p) = 8 * 25

80 + 40p = 200

40p = 200 - 80

40p = 120

p = 3

7 0

2 years ago