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skelet666 [1.2K]
3 years ago
13

-6<2c-4<14 compound inequality​

Mathematics
1 answer:
Vladimir [108]3 years ago
8 0

Answer:

-1 < c < 9

Step-by-step explanation:

-6<2c-4<14

Add 4 to all sides

-6+4<2c-4+4<14+4

-2<2c<18

Divide by 2

-2/2<2c/2<18/2

-1 < c < 9

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The concession stand at football games sells pizza and drinks. You buy 4 drink and 6 slices of pizza for $6.70. Your friend buys
AfilCa [17]

Answer:

  • drinks: $0.55
  • pizza slices: $0.75

Step-by-step explanation:

Let d represent the cost of a drink, and p represent the cost of a pizza slice. Then the two purchases can be represented by ...

  • 4d +6p = 6.70
  • 3d +4p = 4.65

To solve these equations by elimination, choose a variable to eliminate and look at the coefficients of that in the two equations. If we choose to eliminate p, we see the coefficients of p are 6 and 4. The least common multiple of these numbers is 12. We can multiply the first equation by -2 and the second equation by +3 and the resulting coefficients of p will be -12 and +12. Adding the results of these multiplications will make the p terms add to zero.

  -2(4d +6p) +3(3d +4p) = -2(6.70) +3(4.65)

  -8d -12p +9d +12p = -13.40 +13.95 . . . . . . . . . eliminate parentheses

  d = 0.55 . . . . . . . . . collect terms

Now, we can substitute this value into either equation to find the value of p. Using the first equation, we get ...

  4(0.55) +6p = 6.70

  6p = 4.50 . . . . . . . . . subtract 2.20

  p = 0.75 . . . . . . . . . . divide by 6

The cost of a drink is $0.55; the cost of a slice of pizza is $0.75.

3 0
3 years ago
Read 2 more answers
What’s the correct answer for this question?
aksik [14]

Answer:

C:

Step-by-step explanation:

Density = Mass/ Volume

2 = 8 / V

V = 8/2

V = 4 cubic cm

3 0
3 years ago
Read 2 more answers
In the diagram, AITP - ANGO. Find the values of<br> x and y.<br><br> y =<br> X=
Zepler [3.9K]

Answer:

x = 25, y = 9

Step-by-step explanation:

Since the triangles are congruent then corresponding angles and sides are congruent, thus

∠ O = ∠ P , substitute values

6y - 14 = 40 ( add 14 to both sides )

6y = 54 ( divide both sides by 6 )

y = 9

and

NG = IT , that is

x - 2y = 7 ( substitute y = 9 into the equation )

x - 2(9) = 7

x - 18 = 7 ( add 18 to both sides )

x = 25

7 0
3 years ago
Solve this linear system by graphing <br> x-y=6 <br> 2x=12+2y
lys-0071 [83]
You need to isolate the variables. For the first equation add x to both sides, which leaves you with y.

For the second equation, divide each side by 2 leaving you with
x= 6+y. Subtract y from each side. Subtract x from both sides. Now you have y= x + 6.

Now graph those equations.
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3 years ago
Help with these 4 questions! Pleaseee!
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