What is 25% as a dollar amount.

A bowl has 8 green grapes and 15 red grapes. Henry randomly chooses a grape, eats it, and then chooses another grape....

frosja888 [35]

Answer:

About 41.5%

Step-by-step explanation:

Given:

A bowl has 8 green grapes and 15 red grapes. Henry randomly chooses a grape, eats it, and then chooses another grape.

To Find:

What is the probability that both grapes are red?

Answer choices:

about 39.7%

about 41.5%

about 42.5%

about 44.5%

Solution:

Since, there are 8 green grapes and 15 red grapes, the total number of grapes is 23 .

As the red grapes are 15..

Thus,

The probability of choosing a red grape the first time is 15/23.

Because out of the total 23 grapes only 15 were red grape.

The probability of choosing the red grape the second time will be 14/22. Because the number of red grapes has already decreased by one and so is the total number of grapes after first choice

Hence, the probability of choosing or eating two red grapes will be :

15/23×14/22

=105/253

=0.415

= 41.5%

Therefore, the probability that both grapes are red is about 41.5%

5 0

2 years ago

How do I solve tan(62) = 12/x?

notsponge [240]

Answer:

x = 6/31 = 0.194

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

(62)-(12/x)=0

Step by step solution :

Step 1 :

12

Simplify ——

x

Equation at the end of step 1 :

12

62 - —— = 0

x

Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using x as the denominator :

62 62 • x

62 = —— = ——————

1 x

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

62 • x - (12) 62x - 12

————————————— = ————————

x x

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

62x - 12 = 2 • (31x - 6)

Equation at the end of step 3 :

2 • (31x - 6)

————————————— = 0

x

Step 4 :

When a fraction equals zero :

4.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

2•(31x-6)

————————— • x = 0 • x

x

Now, on the left hand side, the x cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

2 • (31x-6) = 0

Equations which are never true :

4.2 Solve : 2 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.3 Solve : 31x-6 = 0

Add 6 to both sides of the equation :

31x = 6

Divide both sides of the equation by 31:

x = 6/31 = 0.194

Answer :

x = 6/31 = 0.194

Rate?

3 0

2 years ago

What is the answer to this 9(-2)=

cestrela7 [59]

The answer is -18

9 · -2 = -18

6 0

3 years ago

Read 2 more answers

x^2+2x+7=21 the approximate value of the greatest solutoon to the equation, rounded to the nearest hundreth

daser333 [38]

9514 1404 393

Answer:

x ≈ 2.87

Step-by-step explanation:

We can subtract 6 to put the equation into a form easily solved.

x^2 +2x +1 = 15

(x +1)^2 = 15

x +1 = √15 . . . . . for the greatest solution, we only need the positive root

x = √15 -1 ≈ 2.87

4 0

2 years ago

An athletic facility is building an indoor track. The track is composed of a rectangle and two semicircles.

Mazyrski [523]

Answer:

(The image is not provided, so i draw an idea of how i supposed that the problem is, the image is at the bottom)

Ok, we have a rectangle of length x by r.

At the extremes of length r, we add two semicircles.

So the perimeter will be equal to:

Two times x, plus the perimeter of the two semicircles (that can be thought as only one circle).

The radius of the semicircles is r, and the perimeter of a circle is:

C = 2*pi*r

where pi = 3.14

Then the perimeter of the track is:

P = 2*x + 2*pi*r.

b) now we want to solve this for x, this means isolating x in one side of the equation.

P - 2*pi*r = 2*x

P/2 - pi*r = x.

c) now we have:

P = 660ft

r = 50ft

then we can replace the values and find x.

x = 660ft/2 - 3.14*50ft = 173ft

5 0

2 years ago