All categories

3 years ago

1. An ice cream shop has 25 different flavors of ice cream. For each of the following, indicate whether it is a problem

Mathematics

1 answer:

Natali [406]3 years ago

5 0

Answer:

Step-by-step explanation:

Given that an ice cream shop has 25 different flavors of ice cream.

a) the number of different 3-scoop ice cream cones that are possible if all three scoops are different

=25P3 (since order matters as shapes or colours would be different so different order will give different type)

= 13800

b) the number of different 3-scoop ice cream cones that are possible if all three scoops are different

=25C3 (since order does not matter here)

=2300

c) the number of different ice cream cones if all three scoops could be the same, and the order of the

flavors is important

= when all three sceeps couldbe the same we can say that these are with replacement. Neither permutation nor combination

Each scoop can be any one of the 25

no of ways $= 25^3=15625$

You might be interested in

One number added to three times another number is 24. Five times the first number added to three times the other number is 36. F

Lera25 [3.4K]

Okay, so the equations would be:
x + 3y = 24
3y + 5x = 36

Imma use Substitution to solve this:
x = -3y + 24

3y + 5(-3y + 24) = 36
3y - 15y + 120 = 36
-12y + 120 = 36
-12y = -84
y = 7

x = -3(7) + 24
x = -21 + 24
x = 3

So the first number (x) would be 3 and the second number (y) would be 7.

5 0

3 years ago

What is the value of 3ab+<br>5b - 6 when a = - 1and b = 3

Fantom [35]

Answer:

the answer is 0

4 0

2 years ago

Read 2 more answers

Merlin wants to make more money selling fake beards this month than he did last month. All black beards in his shop cost the sam

sukhopar [10]

We know that all black beards cost the same money

And all red beards cost $25

And B represents number of black beards

And R represents number of red beards

We have been given the inequality 20B+25R > 350 to show the target for this month.

The above inequality shows that Merlin needs to make more than 350, hence he made 350 last month

Further, it shows that B has been multiplied by 20, hence the black beard's cost was 20

8 0

3 years ago

Read 2 more answers

Eric Drew an obtuse triangle. Which of the following could be true for Eric's triangle.

Vika [28.1K]

Answer:

<u>Option:B</u> is the correct answer.

B: possible angle measures of the triangle are 92, 48, and 40 .

Step-by-step explanation:

We know that an obtuse triangle is a triangle whose one angle is a obtuse angle ( i.e. the measure of the angle is greater than 90 degree and less than 180 degrees).

A: all three angles have equal measures

Let the angle of a triangle be 'x'.

As we know that the sum of all the angles of a triangle is 180°.

This implies that:

x+x+x=180°

3x=180°

⇒ x=60°

Hence, the triangle will not be obtuse as none of the angle is obtuse.

Hence, option: A is incorrect.

possible angle measures of the triangle are 92, 48, and 40.

This option is correct.

Since there is one angle which is obtuse ( measure 92 degree)

and also such a angle measure is possible in a triangle as sum of all the angles is 180°.

( since 92+48+40=180°)

two of the angles are equal, and the third angle has a measure of 70.

Let the equal angles be represented by 'x'.

As the sum of all the angles is 180°.

⇒ x+x+70=180°

⇒ 2x=110°

⇒ x=55°

Hence, here also none of the angle is obtuse.

hence, option: C is incorrect.

One angle has a measure of 90, while, the other two angles measure less than 90°.

Such a triangle will not be a obtuse triangle as none of the angle measure is greater than 90°.

Hence, option: D is incorrect.

4 0

3 years ago

In golf, scores are calculated relative to the par of the golf course. Par is 0 on a number line. Given the following informatio

ddd [48]

The answer would be six under par

3 0

2 years ago