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2 years ago

Solve 9/11 + 3/13 × 26/33 - (21/121÷ 71/111)

Mathematics

1 answer:

Julli [10]2 years ago

3 0

Answer:

0.72 or 0.72866953788 0.7 0.72866953788

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If r is the midpoint of qs rs=2x-4, st= 4x-1 and rt = 8x-43 find qs

sammy [17]

Answer:

$QS=68\ units$

Step-by-step explanation:

step 1

Find the value of x

we know that

r is the midpoint of qs

QR=RS

QS=QR+RS------> QS=2RS -----> equation A

RT=RS+ST ----> equation B

see the attached figure to better understand the problem

Substitute the given values in the equation B and solve for x

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

$8x-43=6x-5$

$8x-6x=43-5$

$2x=38$

$x=19$

step 2

Find the value of RS

$RS=2x-4$

substitute the value of x

$RS=2(19)-4$

$RS=34\ units$

step 3

Find the value of QS

Remember equation A

QS=2RS

$QS=2(34)=68\ units$

6 0

2 years ago

From some petroleum, you can get 30% of paraffin. How much petroleum do you need in order to get 18.75 tons of paraffin?

8090 [49]

You would have to do 18.75/30%
=75/4*100/30=125/2

8 0

2 years ago

Read 2 more answers

A lidocaine drip is infusing at 30 mL/hr on an infusion device. The drug is mixed 2g in 500mL D5W. How many mg/minute is the pat

SCORPION-xisa [38]

Answer:

2 mg/minute.

Step-by-step explanation:

We have been given that a drug is mixed 2 g in 500 ml.

First of all, we will convert 2 grams to milligrams. 1 gram equals 1000 milligrams.

2 grams = 2,000 mg.

Now, we will find amount of mg per ml as:

$\text{The amount of mg per ml}=\frac{2000\text{ mg}}{\text{500 ml}}$

$\text{The amount of mg per ml}=\frac{4\text{ mg}}{\text{ml}}$

We have been given that a lidocaine drip is infusing at 30 mL/hr on an infusion device, so amount of mg per hr would be:

$\text{Amount of mg per hour}=\frac{30\text{ ml}}{\text{ hr}}\times \frac{4\text{ mg}}{\text{ml}}$

$\text{Amount of mg per hour}=\frac{120\text{ mg}}{\text{ hr}}$

We know 1 hour equals 60 minutes.

$\text{Amount of mg per hour}=\frac{120\text{ mg}}{\text{ hr}}\times \frac{\text{1 hour}}{\text{60 minutes}}$

$\text{Amount of mg per hour}=\frac{120\text{ mg}}{\text{60 minutes}}$

$\text{Amount of mg per hour}=\frac{2\text{ mg}}{\text{minute}}$

Therefore, the patient is receiving 2 mg/minute.

8 0

2 years ago

A tourist looks out from the observation deck of the Space Needle in Seattle. The deck is at a height of 520 ft. She sees her fr

WARRIOR [948]

Answer:

Last option 527.7 ft

Step-by-step explanation:

From the diagram attached we can see the angle of depression is 80.2 which is equal to ∠ACB (alternate angles)

Height of the deck AB = 520 ft. and we have to calculate the distance H between the tourist and her friend.

Sin ∠ACB = $\frac{AB}{AC}$

Now we apply sin rule sin 80.2 = $\frac{520}{H}$

$.9854=\frac{520}{H}$

$H = \frac{520}{.9854} = 570 ft$

So the tourist and her friend are 527.7 ft apart.

6 0

2 years ago

A wise investor purchased a plot of land in 1947 for $84000

jarptica [38.1K]

The answer will be $82063

7 0

2 years ago