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3 years ago

How do i find the value of x?

Mathematics

1 answer:

inn [45]3 years ago

4 0

Answer:h

2x+1+3x+8./2=. 17

5x+9. = 17 x2

5x+9= 34

-9. -9

5x=25

Divide by 5

X=5

Step-by-step explanation:

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On a lunch counter, there are 3 oranges, 5 apples, and 2 bananas. If 3 pieces of fruit are selected, find the probability that 1

muminat

Answer:

$Probability = \frac{1}{24}$

Step-by-step explanation:

Given

$Oranges = 3$

$Apples = 5$

$Banana = 2$

$Total = 10$

Required

Determine the probability of 1 orange, 1 apple and 1 banana

Since, order is not important:

$Probability = P(Orange) * P(Apple) * P(Banana)$

$Probability = \frac{3}{10} * \frac{5}{9} * \frac{2}{8}$

The difference in the numerator is as a result of picking the fruit without replacement

$Probability = \frac{30}{720}$

$Probability = \frac{1}{24}$

6 0

2 years ago

What is the area of the shaded segment?

Whitepunk [10]

Answer:

$6\pi-9\sqrt{3$

Step-by-step explanation:

The area of a pie-slice shape can be found with the equation $A=\pi nr^2/360$ where n is the angle of the shape and r is the radius of the circle. In this case, n=60 and r=6. Therefore, the total area of the pie-slice is $\pi (60)(6^2)/360=6 \pi$

Next, the triangle that makes up the unshaded part of the segment is an equilateral triangle because the angle is 60. The area of an equilateral triangle is $\sqrt{3}r^2/4$ where r is the length of one of its side (in this case, r=6). Plugging that in, we get an area of $9 \sqrt{3}$

Finally, the area of the shaded is the area of the pie-slice minus the area of the triangle: $6\pi-9\sqrt{3$

8 0

3 years ago

Use the Laplace transform to solve the given initial value problem. y' + 6y = e^4t ; y(0)=2 ...?

TiliK225 [7]

Performing laplace transform of the equation.

sY(s) - y(0) + 6Y(s) = 1/(s-4)
(s+6)Y(s) - 2 = 1/(s-4)
Y(s) = 2/(s+6) + 1/(s-4)(s+6), by partial fraction decomposition
Y(s) = 2/(s+6) + 1/10 * (1/(s-4) + 1/(s+6))
Y(s) = 0.1/(s-4) + 2.1/(s+6)

Performing inverse laplace transform,
y(t) = 0.1e^4t + 2.1e^(-6t)

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

4 0

3 years ago

You have $55 in your bank account. Each week you deposit $8 from your allowance and $15 from your paycheck. The equation b=55+(

scoundrel [369]

<h3>After 6 weeks from now you will have $190 in your bank account</h3>

Solution:

Given that,

You have $55 in your bank account

Each week you deposit $8 from your allowance and $15 from your paycheck

The equation that gives the amount b in your account after w weeks is:

b = 55 + (15 + 8)w

How many weeks from now will you have $190 in your bank account ?

b = 190

w = ?

Therefore,

190 = 55 + (15 + 8) w

190 = 55 + 23w

23w = 190 - 55

23w = 135

Divide both sides by 23

$w = 5.869 \approx 6$

Thus after 6 weeks from now you will have $190 in your bank account

7 0

2 years ago

What is 41/19 to the nearest tenth

olga2289 [7]

Answer:

2.2

Step-by-step explanation:

41/9 is 2.15789473684

since you need it to the nearest tenth, just get rid of the other numbers past the five, you will then have 2.15

since you are looking for the nearest tenth, you need to look at the 2nd number after the decimal place to determine whether it rounds up or down. ( a helpful rule is 5 or above, give it a shove. 4 or below, leave it alone. because the 2nd digit is 5 you need to give the 1 a shove and turn it into a 2. Since you gave the 5 a shove, you need to get rid of that 2nd digit in your answer.

FINAL ANSWER: 2.2

6 0

3 years ago

Read 2 more answers