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3 years ago

|x−y+z|, if x=3; y=−2; z=−6

Mathematics

1 answer:

Finger [1]3 years ago

3 0

Answer:

Step-by-step explanation:

Try the question without the absolute value brackets first.

Then it would be 3+2-6

Since it states "x-y" and y is -2, then it would be 3+2 since a negative times a negative becomes a positive

Same thing for "z", instead of +6 it would be -6 because a negative times a positive is still a negative

Now, 3+2-6 is -1 but MAKE SURE to put the absolute value brackets back. Making the answer a positive number. Therefore, it would be 1

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Clare travels at a constant speed, as shown on the double number line

Usimov [2.4K]

Answer:

1. 36 miles

2. 108 miles

3. 234 miles

Step-by-step explanation:

Here we have the Distance in miles, time and calculated speed as follows;

Distance (miles) Elapsed time (hours) Speed (miles/hour)

0 0 0

72 2 36

144 4 36

216 6 36

Distance = Speed (miles/hour) × Elapsed Time (hour)

Therefore, in

1. 1 hour, she travels

1 × 36 = 36 miles

2. 3 hours she travels

3 hours × 36 miles/hour = 108 miles

3. 6.5 hours she travels

6.5 hours × 36 miles/hour = 234 miles.

5 0

3 years ago

A theatre group sold a total of 440 tickets for a show, making a total of $3940. Each regular ticket cost $5, each premium ticke

valentina_108 [34]

Answer: 330 regular tickets, 46 premium tickets and 64 elite tickets were sold.

Step-by-step explanation:

Let x represent the number of regular tickets that were sold.

Let y represent the number of premium tickets that were sold.

Let z represent the number of elite tickets that were sold.

The theatre group sold a total of 440 tickets for the show. It means that

x + y + z = 440- - - - - - - - - -1

Each regular ticket cost $5, each premium ticket cost $15, and each elite ticket cost $25. The total amount made from the show was $3940. It means that

5x + 15y + 25z = 3940- - - - - - - - - 2

The number of regular tickets was three times the number of premium and elite tickets combined. It means that

x = 3(y + z)

x = 3y + 3z

Substituting x = 3y + 3z into equation 1 and equation 2, it becomes

3y + 3z + y + z = 440

4y + 4z = 440- - - - - - - - - - - - -3

5(3y + 3z) + 15y + 25z = 3940

15y + 15z + 15y + 25z = 3940

30y + 40z = 3940 - - - - - - - - - - 4

Multiplying equation 3 by 10 and equation 4 by 1, it becomes

40y + 40z = 4400

30y + 40z = 3940

Subtracting, it becomes

10y = 460

y = 460/10

y = 46

Substituting y = 46 into equation 3, it becomes

4 × 46 + 4z = 440

184 + 4z = 440

4z = 440 - 184

4z = 256

z = 256/4

z = 64

x = 3(y + z) = 3(46 + 64)

x = 330

4 0

3 years ago

4 cups servers 12 people how many cups server 4 people

zloy xaker [14]

Your answer should be 3/4 a cup

7 0

2 years ago

I need help With Math Exponents (click for picture )

Murljashka [212]

Answer

25. 9^3, 729

26. 2^6, 64

27. 1^8, 1

28. 5^4, 625

29. 7^6, 1117,649

5 0

3 years ago

Y-13<6<br><br> Help please urgently!!

Andre45 [30]

Step-by-step explanation:

y-13<6

y<6+13

y<19

hope it helps.

8 0

2 years ago

Read 2 more answers