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Elza [17]
3 years ago
12

The answer to find QS

Mathematics
2 answers:
weqwewe [10]3 years ago
7 0

Since R is the midmoint of QS that means that QR and RS are equal to each other. So first you need to find x. There are many different ways to set up the equation to solve for x, but I'll show you the easiest one:

QR+QS=RT+QR

(2x-4)+(2x-4)=(8x-43)+(2x-4)

Combine like terms:

4x-8=10x-47

Isolate Variable:

4x-8=10x-47

-4x -4x

6x-47=-8

Isolate Constant:

6x-47=-8

+47 +47

6x=39

Divide:

x=6.5

Check Your Answer:

(Plug in 6.5 as x)

(4(6.5)-8)=(8(6.5)-43)+(2(6.5)-4)

18=18

olganol [36]3 years ago
3 0

Answer:

The measure of QS is 68 units.

Step-by-step explanation:

Given information: R is midpoint of QS, RS=2x-4, ST=4x-1, and RT=8x-43.

We need to find the value of QS.

From the given figure it is clear that points Q, R, S and T are collinear.

RT=RS+ST

8x-43=(2x-4)+(4x-1)

On combining like terms.

8x-43=(2x+4x)+(-4-1)

8x-43=6x-5

Isolate variable terms.

8x-6x=43-5

2x=38

Divide both sides by 2.

x=19

The value of x is 19.

It is given that R is midpoint of QS. It means R divides the line QS in two equal parts.

QS=2(RS)

QS=2(2x-4)

Substitute x=19 in the above equation.

QS=2(2(19)-4)

QS=2(38-4)

QS=2(34)

QS=68

Therefore the measure of QS is 68 units.

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On January 29, 2019, Australian authorities confiscated 157.7 kilograms of heroin with an estimated street value of 77 million A
Alexeev081 [22]

Answer: $343849

Step-by-step explanation:

Since the exchange rate at the time was 1 USD = 1.42 AUD, therefore we will convert 77 million AUD to dollars which will be:

= 77 million / 1.42

= $54.225 million

Therefore, the value in U.S. Dollars per pound for the heroin will be:

= $54.225 million / 157.7

= $343849 pee pound

5 0
3 years ago
How do you solve y=2x+7; 3x-y=-9 using substitution method. Explain please!!
eduard
The y's value is given in the first equation. y=2x+7 . Now to solve, we will, plug it's value in the second equation.

3x-(2x+7)=-9\\ \\ 3x-2x-7=-9\\ \\ x=-9+7\\ x=-2\\

Now we have x's value, we will plug it's value in the first equation.(We can plug it in the second one too, but plugging it the first one will make it easier.)

x=-2\\ y=2x+7\\ y=2\cdot -2+7\\ y=-4+7\\ y=3




6 0
4 years ago
Read 2 more answers
A store has been selling 100 Blu-ray disc players a week at $600 each. A market survey indicates that for each $40 rebate offere
Sav [38]

Answer:

<em>The rebate should be $220</em>

Step-by-step explanation:

<u>Demand Curve</u>

It's the relationship between price (P) and quantity (Q) demanded a certain product or service.

(a) We need to find the function that relates both magnitudes assuming a linear equation. The equation of a line can be found with the point-point formula:

\displaystyle Q-Q_1=\frac{Q_2-Q_1}{P_2-P_1}(P-P_1)

Two sets of data are given: 100 Blu-ray disc players are sold a week at $600 each. The ordered pair for this condition is (P,Q)=(600,100).

The other point comes from the market survey: The number of units sold will increase by 80 (100+80=180) when the price goes down $40 (600-40=560). The new point is (P,Q)=(560,180)

We set up the equation of the demand

\displaystyle Q-100=\frac{180-100}{560-600}(P-560)

Rearranging

-40Q+4000=80P-44800

Or

80P+40Q=48800

Simplifying

2P+Q=1120

(b) The revenue function is Q times the price

R=Q.P

Solving the equation of the demand for P

\displaystyle P=\frac{1120-Q}{2}

Thus, the revenue is

\displaystyle R=Q\cdot \frac{1120-Q}{2}

\displaystyle R=\frac{1120Q-Q^2}{2}

(c) To find the optimum value of the revenue, we take the derivative of R and equate to 0

\displaystyle R'=\frac{1120-2Q}{2}=560-Q=0

Solving

Q=560 units a week

For which the revenue is

\displaystyle R=\frac{1120(560)-560^2}{2}

R=\$156,800

And the price is

\displaystyle P=\frac{1120-560}{2}=280

P=\$280

The rebate should be $600-$280=$220

4 0
3 years ago
Hey so uh whats 9834-465 i am definetly not just doing this to give out points
BigorU [14]

Answer:

9369

Step-by-step explanation:

8 0
3 years ago
Chen completed the division problem below.
alekssr [168]

<u>Answer:</u>

B. He multiplied the dividend by 100 instead of 10.

<u>Step-by-step explanation:</u>

Chen had to divide 1.926 by 0.9. To make it easier to divide, he thought of multiplying both the dividend and the divisor by 10.

Chen multiplied the divisor by 10 but mistakenly multiplied the dividend by 100 instead of 10.

So his whole division problem was changed.

Therefore, the correct answer option is B. He multiplied the dividend by 100 instead of 10.

6 0
3 years ago
Read 2 more answers
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