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defon
4 years ago
6

A number is 6 times another number and their difference is 30. What are the numbers? ​

Mathematics
1 answer:
Alenkasestr [34]4 years ago
8 0

Answer:

x=36

y=6

Step-by-step explanation:

Let the numbers be x and y

Condition 1

x=6y ----------(1)

Condition 2

x-y=30 ------------(2)

Putting 1 in 2

6y-y=30

5y=30

Dividing both sides by 5

y=6

Now

Putting y=6 in 1

We get

x=6(6)

x=36

You might be interested in
Why is 1/6 greater than 1/8 but less than 1/3?
raketka [301]
Because the greater the denominator, the smaller the number is.
1/6 = .166666667
1/8 = .125
and 1/3 = .333333333333333333
8 0
3 years ago
From a boat on the lake, the angle of elevation to the top of a cliff is 24 degrees 19'. If the base of the cliff is 2994 feet f
qaws [65]

Answer:

  1353 ft

Step-by-step explanation:

The cliff height and the distance from its base to the boat form the legs of a right triangle. The cliff height is the leg opposite the elevation angle, and the distance to the boat is the leg adjacent. Given these two legs of the triangle, the tangent relation seems useful:

  Tan = Opposite/Adjacent

We want to find the cliff height (opposite), so we can multiply this equation by Adjacent:

  Opposite = Adjacent×Tan

  cliff height = (2994 ft)(tan(24°19')) ≈ 1353 ft

The cliff is about 1353 feet high.

5 0
4 years ago
One of the legs of right triangle measures 16 cm and the other leg measures 2 cm.
Pavlova-9 [17]

Answer:

16.1 cm (nearest tenth)

Step-by-step explanation:

<u>Pythagoras’ Theorem</u>

a^2+b^2=c^2

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

  • a = 16 cm
  • b = 2 cm

Substitute the given values into the formula and solve for c:

\implies 16^2+2^2=c^2

\implies 256+4=c^2

\implies c^2=260

\implies c=\sqrt{260}

\implies c=2\sqrt{65}

\implies c=16.1 \sf \: cm\:(nearest\:tenth)

3 0
2 years ago
Multiply and simplify.
CaHeK987 [17]

Answer:

x11

Step-by-step explanation:

All I did was add the like terms.

7 0
3 years ago
Someone help me please
gtnhenbr [62]
1 is 34.5 and 2 is 71. hope it helps:)
6 0
3 years ago
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