A calzone is divided into 24 equal pieces. Sophie and Glenn each ate one-fourthof the calzone on Saturday. The next​ day, Glenn ate one-sixth
of the calzone that was leftover. How many of the pieces of the original calzone ​remain? Explain your reasoning.

Answers

Answer 1
Answer:

Answer:

10 pieces

Step-by-step explanation:

Total no. of pieces of calzone = 24

No of pieces of calzone eaten by sophie = 1/4 of Total no. of pieces of calzone  = 1/4 of 24 = (1/4)*24= 6 pieces.

No of pieces of calzone eaten by Glenn = 1/4 of Total no. of pieces of calzone  = 1/4 of 24 = (1/4)*24= 6 pieces.

Total no of pieces eaten by both of them on saturday = 12.

No of pieces of calzone left = 24-12 = 12

_______________________________________________

No of pieces of calzone eaten by Glenn on next day = 1/6 of Total no. of pieces of calzone  left= 1/6 of 12 = (1/6)*12= 2 pieces

No of pieces of calzone left now after Glenn ate 2 of them = 12-2 = 10.

Thus 10 pieces  of original calzone are left  .


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A damsel in distress is being

Answers

Check the picture below.


make sure your calculator is in Degree mode.

If CD = EF, then CD ≅ EFDefinition of Congruence
Reflexive Property
Symmetric Property
Definition of Midpoint
Help quickly

Answers

Answer:

Definition of congruence

Step-by-step explanation:

According to this

If two sides are equal then they are ought to be congruent.

Here

CD is equal to EF

  • It means both have same lengths

Hence they are congruent

Final answer:

Based on the Definition of Congruence in mathematics, if two line segments are of equal lengths, then they are said to be congruent. So if CD = EF, then CD is congruent to EF (CD ≅ EF).

Explanation:

In this context, if CD = EF, then CD is indeed congruent to EF, written as CD ≅ EF.

This is based on the Definition of Congruence in mathematics, specifically geometry, which states that two objects (in this case, line segments) are congruent if they have the exact same size and shape, or, for line segments, the same length. So, if the lengths of two line segments are equal (CD = EF), then they are congruent (CD ≅ EF).

Learn more about Congruence here:

brainly.com/question/31992651

#SPJ2

Does the residual plot suggest a linear relationship?

Answers

Answer:

no

Step-by-step explanation:

Given the following formula solve for y. W=x-y/2 -z

Answers

Answer:

y = 2x + 2W - 2z

Step-by-step explanation:

Add y/2 to both sides of this equation.  We get:

y/2 + W = x - z.

Multiplying all four terms by 2 eliminates the fraction:

y + 2W = 2x - 2z

Subtracting 2W from both sides yields:

y = 2x + 2W - 2z

sorry my answer was wrong

In the game of tic-tac-toe, if all moves are performed randomly the probability that the game will end in a draw is . Suppose six random games of tic-tac-toe are played. What is the probability that at least one of them will end in a draw?

Answers

Completed question:

In the game of tic-tac-toe, if all moves are performed randomly the probability that the game will end in a draw is 0.127. Suppose six random games of tic-tac-toe are played. What is the probability that at least one of them will end in a draw?

Answer:

0.557

Step-by-step explanation:

For each game, the probability of not end in a draw is 1 - 0.127 = 0.873. Thus, because each game is independent of each other, the probability of all of them not end in a draw is the multiplication of the probability of each one:

0.873x0.873x0.873x...x0.873 = 0.873⁶ = 0.443

Thus, the probability that at least one of them end in a draw is the total probability (1) less the probability that none of them en in a draw:

1 - 0.443

0.557

Work out the height of this cone

Answers

Answer:20 cm

Step-by-step explanation:

Volume of cone=540π

Radius=r=9

Volume of cone=1/3 x π x r^2 x h

540π=1/3 x π x 9^2 x h

540π=1/3 x π x 9 x 9 x h

540π=(1xπx9x9xh)/3

540π=(81πh)/3

540π=27πh

Divide both sides by 27π

540π/27π=(27πh)/27π

20=h

h=20

Height =20 cm