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worty [1.4K]
2 years ago
15

3. There are 9 tables in the cafeteria. Each table has the same number of chairs. If there is a tota of 171 chairs, how many cha

irs are at each table a. 16 b. 17 C. 18 d. 19 ​
Mathematics
2 answers:
dimaraw [331]2 years ago
8 0
The answer is 19 because it is what it is
goldenfox [79]2 years ago
6 0

Answer:

d. 19

Step-by-step explanation:

n.o of tables = 9

total n.o of chairs = 171

if there is equal n.o chairs in each table then,

171/9

=19

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X+ y + z = -3<br> 3y - Z = 4<br> 2x- y - 2z = -5
snow_lady [41]

Answer:

  • (-3, 1, -1)

Step-by-step explanation:

  • x + y + z = -3  --> (1)
  • 3y - z = 4   --> (2)
  • 2x - y - 2z = -5 --> (3)

<u>Add up (1) and (2)</u>

  • x + 3y + y + z - z = -3 + 4 ⇒ x + 4y = 1  --> (4)

<u>Double (2) and subtract from (3)</u>

  • 2x - y - 2z - 2(3y - z) = -5 - 2(4) ⇒ 2x - y - 2z - 6y + 2z = -5 - 8
  • 2x - 7y = -13 --> (5)

<u>Double (4) and subtract (5)</u>

  • 2(x + 4y) - 2x + 7y = 2 + 13 ⇒ 2x + 8y - 2x + 7y = 15 ⇒ 15y = 15 ⇒ y = 1

<u>Finding x</u>

  • x + 4(1) = 1 ⇒ x = 1 - 4  ⇒ x = -3

<u>Finding z</u>

  • -3 + 1 + z = -3 ⇒ z = -1

<u>So the answer is: </u>

  • (-3, 1, -1)

4 0
3 years ago
Monic and Rachel purchased a tv for $378. Monica paid $36 less then Rachel. How many did each person pay for the tv? Solve using
topjm [15]

Answer:

Monica paid $171 while Rachel paid $207

Step-by-step explanation:

We are told that Monic and Rachel purchased a tv for $378.

Let the amount spent by Monica be X and the amount spent by Rachel be Y.

Thus;

x + y = 378 - - - - (eq 1)

We are told that Monica paid $36 less then Rachel. Thus;

y = x + 36

Or y - x = 36 - - - (eq 2)

Add eq 1 & eq 2 together to give;

2y = 378 + 36

2y = 414

y = 414/2

y = $207

Put 207 for x in eq 1 to get;

x + 207 = 378

x = 378 - 207

x = $171

Thus;

Monica paid $171 while Rachel paid $207

8 0
3 years ago
Simplify<br> (a+3)2 -3 (2a+3)
Anna71 [15]

Answer:

-4a-3

Step-by-step explanation:

2a + 6 - 6a - 9 =  - 4a - 3

5 0
3 years ago
Devaughn is 13 years younger than Sydney. The sum of their ages is 75 . What is Sydney's age?
barxatty [35]
S= Sydney
devaughn= s-13

so s+s-13=75
2s-13=75
now I think you can solve the rest.
6 0
3 years ago
The diagram represents the polynomial 4x2 + 23x – 72. A 2-column table with 2 rows. The labels for both the columns and the rows
Gnom [1K]

Answer:  the answer is (4x+8)(x-9)

Step-by-step explanation:

3 0
3 years ago
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