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zysi [14]
3 years ago
14

-6x+2y=-18. -3x-2y=54

Mathematics
1 answer:
luda_lava [24]3 years ago
6 0

Answer:

x = -4

y = -21

Step-by-step explanation:

To solve this, we will need to set up a system of equations and get rid of a variable.

-3x - 2y = 54

-6x + 2y = -18

From this, we can see that the 'y' variables can be cancelled out if we add the two together. This means that we must add these equations to each other to cancel out the 'y' variables:

-3x - 2y = 54

-6x + 2y = -18

-------------------- +

-9x = 36

x = -4

Since we have solved for 'x', we can simply plug this value into an equation to find 'y'.

-3(-4) -2y = 54

12 - 2y = 54

-2y = 42

y = -21.

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What number is equal to 16?
lisabon 2012 [21]

Answer:

32/2 is also equal to 16

Step-by-step explanation:

4 0
2 years ago
12 is what percent of 19​
VikaD [51]

Answer:

63%

Step-by-step explanation:

12/19=0.63157895

0.63157895*100=63.1578947

7 0
3 years ago
Sam rolled a die 75 times. On 39 of those rolls, he had a 6. Which statement is TRUE when the probabilities are compared?
svetlana [45]

Answer:

D)The experimental probability is greater than the theoretical probability

Step-by-step explanation:

Given:

75 times a die is rolled out of 39 times it got 6

To Find :

Which statement is true?

Solution:

The theoretical probability is given by the ,

Pt=No.of favorable outcomes/Total outcomes

Here favorable is getting 6 on the die

so how many times we can get 6 =1 time

Total outcomes =6

Pt=1/6

Pt=0.1667

Now for

The experimental Probability ,

Pe=Number times that event occur /Total no of trails

Here 39 times we get 6 and total no trails are 75

Pe=39/75

Pe=0.52

Hence we can say that Pe>Pt.

8 0
3 years ago
Read 2 more answers
PLEASE HELP ITS URGENT!!<br> Given: △ABC is isosceles; 1 ≅ 3<br> Prove: AB || CD
Dmitrij [34]

Answer:

AB ║ CD. (Proved)

Step-by-step explanation:

See the attached diagram of the triangle.

It is given that Δ ACD is an isosceles triangle.

Therefore, AC = AD and ∠ ACD = ∠ ADC, ⇒ ∠ 3 = ∠ 4 .......... (1)

Again, given that ∠ 1 = ∠ 3 ........... (2)

Now, from equations (1) and (2) we can write, ∠ 1 = ∠ 4

Now, AB and CD are two straight lines and AD is the transverse line and hence, ∠ 1 and ∠ 4 are alternate angles that are equal.

Therefore, AB and CD are parallel straight lines and AB ║ CD. (Proved)

4 0
3 years ago
A pharmacist needs 500 milliliters of a 20% phenobarbital solution but has only 5% and 25% phenobarbital solutions available. Fi
sladkih [1.3K]

Let x be ml of 5% soln.

let 500-x be ml of 25% soln.

.

x*.05=.05x

(500-x)*.25=125-.25x

500*.20=100

.

.05x+125-.25x=100

-.2x=-25

x=-25/-.2

x=125 ml of 5% soln.

500-x=375 ml of 25% soln.

.

Check:

125*.05= 6.25

375*.25=93.75

---------------

========100

7 0
2 years ago
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