find a two-digit number such that three times the tens digit is 2 less than the unit's digit and twice the number is 20 greater than the number obtained by reversing the digits.

Answers

Answer 1

Answer:

Let's name these two digits as a (tens digit) and b (units digit) and then rephrase the problem statement using a and b.

The part of the sentence "three times the tens digit is 2 less than twice the units digits" translates into:

3a = 2b - 2

Considering that both a and b have to be integer numbers less than 10 and that a will have to be an even number

(since 2b - 2 is always even and for 3a to be even, a will have to be even),

the only possible options that will satisfy this equation are: 47 and 24.

The second part of the problem statement does not make much sense.

What exactly is twice the number obtained by reversing the digits?

In case of 47, twice the number obtained by reversing the digits is 2*74 = 148.

In case of 24, twice the number obtained by reversing the digits is 2*42 = 84.

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In the given figure , if angel ROQ = 90 and angel POS : angel ROS = 4 : 5 , then the value of angel SOQ is

Answers

First of all, these are angles. 'Angels' don't pop up too often in math.

ROQ is 90°.

Then POR is also 90°.

POS : ROS = 4 : 5

So if you split up POR into (4 + 5) = 9 pieces, POS is 4 of them and ROS is 5 of them.

Since POR is 90°, each piece is 10° .

POS = 40°
and
ROS = 50° .

SOQ is ROS added onto ROQ.

ROQ = 90°
ROS = 50°
------------------
SOQ = 140°

How many meters are in 180 centimeter?

Answers

centi means 100
100 centimeters in 1 meter
1 meter=100 cm
the conversion factor is
1m/100cm=1
to convert from cm to m, you multiply it by the conversion factor
180 cm times 1m/100cm= 180m/100=1.8m

the answer is 1.8 cm
basically divide by 100

1.8 meters, because 100cm=1m

A farmer collected 12 dozen eggs from her chickens. She sold 5/6 of the eggs to the farmers market and gave the rest to friends and neighbors. How many dozens of eggs did the farmer give away

Answers

Multiply 12 x 12 which is 144. And then you divide that by 6 and you get 24

She collect 12 dozens , a dozen = 12

12 Dozens = 12 * 12 = 144

She gave 1/6 to her friends and family, to find 1/6 you divide it.
144 / 6 = 24
24 = 1/6

She gave 24 to her friends and family

A falcon flying at a height of 200 yards spots a sparrow flying at a height of 150 yards. The location of the sparrow makes an angle of 40° from the horizontal line through the falcon's location. What is the distance x between the falcon and the sparrow? Assume that the ground beneath the birds is level.

Answers

Answer:

77.79 yard

Step-by-step explanation:

Given in the question that,

falcon flying at a height of 200 yards

sparrow flying at a height of 150 yards

Suppose, distance between Falcon and Sparrow = x yards

Step 1

Difference between the height of falcon and sparrow = 200-150 = 50 yards

Step 2

We will use Trigonometry Identity to find the distance between Falcon and Sparrow

SinФ = opposite / hypotenuse

Sin(40) = 50 / x

x = 50 / Sin(40)

x = 77.79 yard

Answer:

Step-by-step explanation:

A MILKMAN SOLD TWO OF HIS BUFFALOES FOR RS.20,000. EACH ON ONE HE MADE A GAIN OF 5% AND ON THE OTHER A LOSS OF 10%. FIND HIS OVERALL GAIN OR LOSS.

Answers

Selling price of 1st buffalo +Selling price of 2nd buffalo=20000
profit for 1st buffalo=0.05 of cost price of 1st buffalo
loss for 2nd buffalo=0.1 of cost price of 2nd buffalo
1.05(cost price of 1st buffalo)+(0.9)cost price of 2nd buffalo=20000
the buffalo must cost must be same = x (say)
1.05x+0.9x=20000
1.95x=20000
x=10256.41
2x=20512.82
profit=20512.82-20000=512.82
profit %=2.56410 %

The weight of the giraffe is .8 the weight of the hippo the hippo weights 2.5 tons how much does the giraffe weight?

Answers

Answer: 2 tons

Step-by-step explanation:

2.5 tons equals 5000lbs

Divide lbs by .8

U get 4000 pounds or 2 tons

Answer:

2 tons

Step-by-step explanation:

0.8 x 2.5=

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