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Ad libitum [116K]
3 years ago
14

Out of 32 students in Mr, Martins class 18 are boys . If this ratio is proportional

Mathematics
1 answer:
Elden [556K]3 years ago
4 0

Answer:

Step-by-step explanation:

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Given a non-zero rational number, a, and an irrational number, b, what can be said about the product of a and b?
laiz [17]

Answer:

The product of a non-zero rational number and an irrational number is irrational.

7 0
2 years ago
1. Over 3 years, how much more does $3000 in a savings account with an APR of 3.2% compounded
Sedbober [7]

Answer:

$1080

Step-by-step explanation:

((3000 \times 0.032) \times 2) \times 3 = 576

convert % to decimal by multiplying 3.2%x100=0.032

then multiply by initial amount 3000x0.032

then multiply by 2 because it's compounding semiannual

then multiply by 3 because it's over a 3 yr period

do the same for the quarterly compound but multiply by 4 because it's quarterly

((3000 \times 0.03) \times 2) \times3 = 1080

over a 3 yr period the quarterly compounded amount will earn:

1080 - 576 = 504

$504 more than the account compounded semiannual

5 0
3 years ago
What is another expression that is equivalent to 12-16x
sergij07 [2.7K]
4(3-4x) . This is solved by factoring a 4 out of the equation. Distributing the 4 in the answer will provide the same equation as the one questioned.
5 0
3 years ago
Determine whether the three segment lengths will produce a triangle. Type yes or no in the space provided.
tresset_1 [31]

Answer:

20 , 20 , 30 will produce a triangle

Step-by-step explanation:

* Lets study how to know if the lengths of the three segments

 can formed a triangle

- It is a fact that in any triangle the sum of the smallest two sides

 must be greater than the largest side

- Lets study some examples

# If the lengths of the three segments are 5 , 6 , 7

∵ 5 and 6 are the smallest

∴ 5 + 6 = 11

∵ 11 > 7 ⇒ the sum greater than the 3rd side

∴ 5 , 6 , 7 can formed a triangle

# If the lengths of the three segments are 5 , 7 , 12

∵ 5 and 7 are the smallest

∴ 5 + 7 = 12

∵ 12 = 12 ⇒ the sum equal the 3rd side

∴ 5 , 7 , 12 can not formed a triangle

# If the lengths of the three segments are 10 , 12 , 24

∵ 10 and 12 are the smallest

∴ 10 + 12 = 22

∵ 22 < 24 ⇒ the sum less than the 3rd side

∴ 10 , 12 , 24 can not formed a triangle

* Now lets solve the problem

∵ The length of the three segments are 20 , 20 , 30

∵ 20 and 20 are the smallest

∴ 20 + 20 = 40

∵ 40 > 30 ⇒ the sum greater than the 3rd side

∴ 20 , 20 , 30 will produce a triangle

5 0
3 years ago
A pecan pie is being served for dessert. One piece of pie has an arc length of 7.85 in. It has been cut into 8 equal pieces. Wha
pishuonlain [190]

Answer: 10 inches.

Step-by-step explanation:

Since the pecan pie is a circle, you can use this formula:

arc\ length=r\theta

Where "r" is the radius and \theta is the central angle of the arc in radians.

If the pecan pie has been cut into 8 equal pieces then the central angle is:

\theta=\frac{2\pi}{8}\\\\\theta={\frac{\pi}{4}

Now you know the arc length and the central angle, then, you can solve for "r" from  arc\ length=r\theta:

 \frac{arc\ length}{\theta} =r

Substituting values, you get that the radius of the pecan pie rounded to the nearest whole number is:

r=\frac{7.85in}{\frac{\pi}{4}}\\\\r=10in

8 0
3 years ago
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