6x + y = 4
X - 4y = 19

Solving systems by substitution

Answers

Answer 1
Answer: 6x+y=4
X-4y=19

You are going to want to take -4y and put it to the other side:
X-4y=19
Which is: x=4y+19
6x+y=4
Now substitute x !
6(4y+19)+y=4
Distribute it
24y+114+y=4
Now combine like terms
25y+114=4
Subtract 114 both sides
25y= -110
Y=-4.4

Now you have y so take either equation and substitute the y
X-4(1.4)=19
X+17.6=19
X=1.4
Y=-4.4
Answer 2
Answer: The answer is x= 1.4 y=-4.4

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The quotient of the opposite of 30 and 6, plus the opposite of 8

Answers

The value of the expression is -13.

what is expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given:

The quotient of the opposite of 30 and 6, plus the opposite of 8

The opposite resemble here the opposite integer.

So,

-30 / 6 + (-8)

=-5 -8

=-13

hence, the value of expression is -13.

Learn more about expression here:

brainly.com/question/14083225

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The quotient of the opposite of 30 and 6, plus the opposite of 8
-30 ÷ 6 + (-8)
-5 + (-8) 
-5 - 8
-13

Evaluate the summation of 2 n plus 5, from n equals 1 to 12..

Answers

Given:
2n + 5

n = 1 to n = 12

2(1) + 5 = 2 + 5 = 7
2(2) + 5 = 4 + 5 = 9
2(3) + 5 = 6 + 5 = 11
2(4) + 5 = 8 + 5 = 13
2(5) + 5 = 10 + 5 = 15
2(6) + 5 = 12 + 5 = 17
2(7) + 5 = 14 + 5 = 19
2(8) + 5 = 16 + 5 = 21
2(9) + 5 = 18 + 5 = 23
2(10) + 5 = 20 + 5 = 25
2(11) + 5 = 22 + 5 = 27
2(12) + 5 = 24 + 5 = 29

Sum: 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 + 27 + 29 = 216

Rachel works for a clothing store. She is paid $150 every week plus a 10% commission on any clothes that she sells.

Answers

Answer:

$165

Step-by-step explanation:

Rachel works for a clothing store. She is paid $150 every week plus a 10% commission on any clothes that she sells.

Let's find the total amount she is being paid per week

Amount paid originally = $150

Percentage Commission = 10%

Commission = 10% of 150

Commission = 0.1×150

Commission = $15

Total amount paid = originally amount + Commission

Total amount paid = $150+$15

Total amount paid =$165

Hence the amount paid to Rachel okus Commission is $165

Two non-simultaneous events have an equal likelihood of occurring (50%). If the events are independent of each other, what is the probability that they will both occur?

Answers

Answer: Probability that they will both occur is 25%.

Step-by-step explanation:

Since we have given that

There are two non simultaneous events.

Probability of each event = 50%

Since both are independent to each other.

Let A and B be two events.

We need to find the probability that they will both occur i..e P(A∩B).

As we know the rule of independence of events:

P(A\cap B)=P(A).P(B)\n\nP(A\cap B)=0.5* 0.5\n\nP(A\cap B)=0.25\n\nP(A\cap B)=25\%\n

Hence, Probability that they will both occur is 25%.

25% should be the answer, let me kno if its correct

Please help? I'll fail if I miss this....Which triangle is similar to triangle SRT? (6 points)


Triangle QRP

Triangle PST

Triangle PQR

Triangle TRP

Answers

Answer:

TRP

got the answer right on the test!

If we divide the polynomial x4 + 4x3 + 2x2 + x + 4 by x2 + 3x, what will be the remainder?

Answers

x^4+4x^3+2x^2+x+4 = Q(x)\cdot (x^2+3x)+ax+b,\;we\;need\;to\;find\;a,\;and\;b;\n\nx^4+4x^3+2x^2+x+4 = Q(x)\cdot x\cdot (x+3)+ax+b

If you choose x = 0, then we have 4 = Q(0)*0 + a*0 + b, therefore b = 4.

If we choose x = -3, then we have:

(-3)^4+4\cdot (-3)^3+2 \cdot (-3)^2-3+4 = Q(-3)\cdot (-3)\cdot (-3+3)-3a+4\Rightarrow 81-108+18+1=4-3a,\;or\;-12=-3a,\;so\;a=4.

The remainder is: 4x+4.

Green eyes.