Please help it will mean alot

Luke, Kira, and Ali each served 2/3 of their own cake. Each cake was the same size, but Luke served 4 slices, Kira served 6 slic

Allisa [31]

Answer:

6; 9; 12

Step-by-step explanation:

It's possible because they cut cakes into different no. of slices

Luke: 2/3 of the cake are 4 slices

Entire cake 4/(2/3) = 4×3/2 = 6 slices

Kira: 2/3 of the cake are 6 slices

Entire cake 6/(2/3) = 6×3/2 = 9 slices

Ali: 2/3 of the cake are 8 slices

Entire cake 8/(2/3) = 8×3/2 = 12 slices

4 0

3 years ago

Read 2 more answers

Angela is making 25 sundaes with mint, chocolate, and vanilla ice cream. 3 5 of the sundaes are mint ice cream and 1 2 of the re

sdas [7]

Answer:

5

Step-by-step explanation:

Vanilla ice cream = 3/5 x 25 = 15

Remaining = 25 - 15 = 10

Mint ice cream = 1/2 x 10 = 5

Remainder = 10 - 5 = 5 = vanilla

7 0

3 years ago

Here’s my dilemma, I can accept a $1000 bill or play a game ten times. For each roll of the single die, I win $500 for rolling 1

Aloiza [94]

Answer:

you should accept the $1,000 bill

Step-by-step explanation:

Given the information:

$500 for rolling 1 or 2
$400 for rolling 3
lose $300 for rolling 4,5,6

P (rolling 1 or 2) = 1/6 + 1/6 = 2/6 = 1/3

P (rolling a 3) = 1/6

P (rolling 4 or 5 or 6) = 3/6 = 1/2

Hence, the expected value for 1 time is:

E = (1/3)*500 + (1/6)*400 - (1/2)*300

E = $166 + $66 - $150

E = $82

Expected value is linear so if you roll the die 10 times, expected value is: 10*82 = $820

The expected value is $82, meaning you should accept the $1,000 bill

5 0

3 years ago

Pls help with all 4 questions, and show a step by step explanation (show how you set up the problems)

Ainat [17]

<h2>Answer:</h2>

Question 10:

21.75 ÷ 30 = 0.725

Move the decimal backwards 2 times

72.5

Answer: 72.5%

Question 11:

Sales: $768

Commission Rate: 4%

Commission: $30.72

768 x 4 = 3,072

3,072 ÷ 100 = 30.72

Answer: $30.72

Question 12:

Selling Price: $39.98

Tax Rate: 4.5%

Sales Tax: $1.80

39.98 x 4.5 = 179.91

179.91 ÷ 100 = 1.7991

Then you round to the thousandths.

1.799

1.8

Answer: $1.80

Question 13:

20% x 141 = 28.2

141 + 28.2 = 169.2

Answer: $28.20 gratuity is added to the bill.

8 0

2 years ago

What are the postulates for congruent triangles

Delvig [45]

Hi there!

There are 5 ways to find if two triangles are congruent :

SSS, SAS, ASA, AAS & HL

1. SSS (Side, Side, Side)

Means that we have two triangles with 3 sides equal.

⇒ If 3 sides of one triangle are equal to 3 sides of another triangle, the triangles are congruent.

2. SAS (Side, Angle, Side)

Means that we have two triangles where we know 2 sides and the included angle are equal.

⇒ If 2 sides and the includent angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

3. ASA (Angle, Side, Angle)

Means that we have two triangles where we know 2 angles and the included side are equal.

⇒ If 2 angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

4. AAS (Angle, Angle, Side)

Means thant we have two triangles where we know 2 angles and the non-included side are equal.

⇒ If 2 angles and the non-included side of one triangle are equal to the coresponding angles and side of another triangle, the triangles are congruent.

5. HL (Hypotenuse, leg)

** This one only applies to right-angled triangles.**

Hypotenuse: The longest side of a right-angled triangle.

Legs: The other 2 sides of the right-angled triangle.

Means we have two right-angled triangles with the same length of hypotenuse and the same length for one of the other 2 legs (it doesn't matter which leg since the triangles could be rotated).

⇒ If the hypotenuse and one leg of one right-angled triangles are equal to the corresponding hypotenuse and leg of another right-angled triangles, the two triangles are congruent.

There you go! I really hope this helped, if there's anything just let me know! :)

7 0

3 years ago