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Sholpan [36]
3 years ago
5

Which statements about this system of equations are true? Check all that apply. Negative x + 6 y = 16. 8 x minus 6 y = negative

2. The x-variable will be eliminated when adding the system of equations. The y-variable will be eliminated when adding the system of equations. The sum of the system of equations is Negative 8 x = 14. X = 2 y = 3 There is only one solution to the system of equations.
Mathematics
1 answer:
Naya [18.7K]3 years ago
8 1

Answer:

The y-variable will be eliminated when adding the system of equations.

There is only one solution to the system of equations.

Step-by-step explanation:

-x + 6y = 16 (1)

8x - 6y = -2 (2)

Add the equations to eliminate y

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

7x = 16 -2

7x = 14

x = 14/7

x = 2

Substitute x = 2 into (1)

-x + 6y = 16 (1)

-2 + 6y = 16

6y = 16 + 2

6y = 18

y = 18/6

y = 3

(x, y) = (2, 3)

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Throughout Lewis Carroll's book, Alice's Adventures in Wonderland, Alice's size changes. Her normal height is about 50 inches ta
alexandr402 [8]

Answer:

The answer is 75 inches.

Step-by-step explanation:

If Alice is 10 inches, she is 2/3 as tall as the door. At her regular height, to be 2/3 as tall as the door the door would have to be 75 inches high.

6 0
3 years ago
How to solve 12x=-24
solniwko [45]

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Step-by-step explanation:-24 divided by 12 gives the answer of what x is. because division is the inverse of multiplication

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Can u guys PLEASE do this question 1 only
joja [24]

Answer:

see explanation

Step-by-step explanation:

(a)

The shaded figure is a trapezium with area (A)

A = 0.5 h(a + b)

where h is the perpendicular height and a, b the parallel sides, thus

A = 0.5 × 10 × (8 + 14) = 5 × 22 = 110 cm²

(b)

The volume (V) of the prism is calculated as

V = area of end face × depth

  = 110 × 3 = 330 cm³

4 0
4 years ago
A standard number cube with the numbers 1 through 6 is rolled. Find the probability of rolling a number greater than 2
Leona [35]
There is a 2/3 probability. Why? Well, the cube is numbered 1-6 so that is 6 numbers. Out of 6, there are 4 numbers greater than 2. Because of this, there is a 4/6 probability that a number greater than 2 will be rolled. 4/6 reduces to 2/3. As a percentage and decimal, the probability would be 66.66666666% or 0.66666666666 (repeating).
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2 years ago
A 2000-gallon metal tank to store hazardous materials was bought 15 years ago at cost of $100,000. What will a 5,000-gallon tank
harkovskaia [24]

Answer:

The value  is P_o = \$ 561958.9

Step-by-step explanation:

From the question we are told that

  The capacity of the metal  tank is  C =  2000 \  gallon

   The duration usage is  t = 15\ years \ ago

   The cost of 2000-gallon tank 15 years ago is P =  \$100,000

    The capacity of the second tank considered is C_1 = 5,000  

    The power sizing exponent is e = 0.57

     The initial construction cost index is  u_1 = 180

      The new construction after 15 years cost index is  u_2 =600

Equation for the power sizing exponent is mathematically represented as

      \frac{P_n}{P} = [\frac{C_1}{C} ]^{e}

=> Here P_n is the cost of 5,000-gallon tank as at 15 years ago  

So

     P_n  =  [\frac{5000}{2000} ] ^{0.57} * 100000

      P_n  =  \$168587.7

Equation for the cost index exponent is mathematically represented as

      \frac{P_o}{P_n}  =  \frac{u_2}{u_1}

HereP_o is the cost of 5,000-gallon tank today

So

       \frac{P_o}{168587.7}  =  \frac{600}{180}

=>    P_o = \frac{600}{180} * 168587.7

=>      P_o = \$ 561958.9

8 0
4 years ago
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