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2 years ago

Which of the following shows the correct order of the numbers?

Mathematics

1 answer:

Ulleksa [173]2 years ago

3 0

A.0.8 < 5/6 < 12/13

because 5/6 = .83 and 12/13 = .92

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Garrett and Carter went to the movies last weekend. Together they bought 2 drinks and 2 popcorns. They spent a total of $12.50.

-BARSIC- [3]

The cost of one drink is $2.50 and cost of one popcorn is $3.75

Explanation

Suppose, the cost of one drink is $x$ dollar and cost of one popcorn is $y$ dollar.

Given that, total cost for 2 drinks and 2 popcorns is $12.50 and total cost for 6 drinks and 5 popcorns is $33.75

So, the system of equations will be......

$2x+2y=12.50 ..................................... (1)\\ \\ 6x+5y= 33.75 ..................................... (2)$

Multiplying equation (1) by -3 , we will get.....

$-3(2x+2y)=-3(12.50)\\ \\ -6x-6y=-37.50 ..................................... (3)$

Now, adding equation (2) and equation (3) , we will get ............

$5y-6y=33.75-37.50\\ \\ -y=-3.75\\ \\ y=3.75$

Plugging this $y=3.75$ into equation (1) ......

$2x+2(3.75)=12.50\\ \\ 2x+7.50=12.50\\ \\ 2x=12.50-7.50=5\\ \\ x=\frac{5}{2}=2.50$

So, the cost of one drink is $2.50 and cost of one popcorn is $3.75

6 0

2 years ago

What value of x is in the solution set of 3(x – 4) > 5x + 2?

bonufazy [111]

We have to simplify and get the value of x from this inequality given:

Given inequality,

$3(x - 4) > 5x + 2$

Now let's simplify by using distributive property,

$3x - 12 > 5x + 2$

We need to find x, so let's isolate x to the letter side of the inequality for calculation at ease.

$3x - 12 - 5x - 2 > 0$

$- 2x - 14 > 0$

Now, dividing -2 from both sides.

Note : As we are dividing a negative number from both sides, the sign of the inequality will be reversed.

$\dfrac{ - 2x - 14}{ - 2} > \dfrac{0}{ - 2}$

$x + 7 < 0$

Now subtracting -7 from both sides,

$x + 7 - 7 < 0 - 7$

$x < - 7$

Or, Interval of the equal $(- \infin, -7 ]$

#CarryOnLearning

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3 0

2 years ago

Calculate produce of 1/6 and 12/13

Sergeu [11.5K]

Answer:

1/6×12/13

2/13

Step-by-step explanation:

thats the answer

8 0

3 years ago

Nathaniel was given a large box of 24 chocolates for his birthday. If he

Alik [6]

24 - (2 x 8)
24 - 16 = 8

7 0

2 years ago

If a/b = 4/3 and b/c = 2/3, what is a,b, and c?

kaheart [24]

Answer:

Step-by-step explanation:

$\frac{a}{b} = \frac{4}{3}$

$\frac{b}{c} = \frac{2}{3}$

to give b from both equation the same value

$\frac{a}{b} = \frac{4}{3} \times \frac{2}{2} = \frac{8}{6}$

$\frac{b}{c} = \frac{2}{3} \times \frac{3}{3} = \frac{6}{9}$

a:b:c = 8:6:9

a = 8

b = 6

c = 9

7 0

2 years ago