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podryga [215]
3 years ago
15

the sum of two numbers is 5 the larger number is 14 more than twice the same number what is the larger number

Mathematics
2 answers:
tatyana61 [14]3 years ago
8 0

Answer:

L=8

Step-by-step explanation:

S=smaller number

L=larger number

S+L=5 : S=5-L

L=14+2S

substitute for S:

L=14+2(5-L)

solve for L:

L=14+10-2L

3L=24

L=8

yKpoI14uk [10]3 years ago
5 0
The larger number is 8.
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A water tank has a diameter of 15 ft and is 22 ft high. a. What is the volume of the tank in ft?? b. In m?? c. In cm?
rodikova [14]

Answer:

a) V = 3887.72 ft^{3}

b)V = 104.97 m^{3}

c)V = 104,968,468.538 cm^{3}

Step-by-step explanation:

A tank has the format of a cylinder.

The volume of the cylinder is given by:

V = \pi r^{2}h

In which r is the radius and h is the heigth.

The problem states that the diameter is measured to be 15.00 ft. The radius is half the diameter. So, for this tank

r = \frac{15}{2} = 7.50 ft

The height of the tank is 22 ft, so h = 22.

a) Volume of the tank in ft^{3}:

V = \pi r^{2}h

V = pi*(7.5)^2*22

V = 3887.72 ft^{3}

b) Volume of the tank in m^{3}:

We must convert both the radius and the height to m.

Each feet has 0.30 m, so:

Radius:

1 feet - 0.30m

7.5 feet - r m

r = 7.5*0.30

r = 2.25m

Height

1 feet - 0.30m

22f - h m

h = 22*0.30

r = 6.60m

The volume is:

V = \pi r^{2}h

V = pi*(2.25)^2*6.60

V = 104.97 m^{3}

c) Volume of the tank in cm^{3}:

Each m has 100 cm.

So r = 2.25m = 225cm

h = 6.60m = 660cm

The volume is:

V = \pi r^{2}h

V = pi*(225)^2*660

V = 104,968,468.538 cm^{3}

7 0
4 years ago
4x + 3x + 5 = 7x + 5<br> True or False?
Tju [1.3M]

Answer:

True.

Step-by-step explanation:

Combine like terms (terms with like variables and the same amount of them):

(4x + 3x) = 7x

7x + 5 = 7x + 5 (True) , ∴ 4x + 3x + 5 = 7x + 5

3 0
3 years ago
Express x in terms of a, ????, and y if ln(x) − ln(y) = 2a.
pav-90 [236]

Answer:

x =  ye^{2a}

Step-by-step explanation:

Data provided:

ln(x) − ln(y) = 2a

Now,

The using the following properties of log function,

we have

log(A) - log(B) = \ln(\frac{A}{B})

and,

ln(a) = b is equivalent to a = e^b  (here e is exponential )  

ln(e) = 1

therefore,

the above equation transforms as:

\ln(\frac{x}{y}) = 2a

taking anti-ln both sides,

we get

\frac{x}{y} = e^{2a}

or

x =  ye^{2a}

4 0
4 years ago
Leroy's total job benefits were $50,150 last year. His total job expenses for traveling and for professional development for the
Alenkinab [10]
I think the answer is D.
Hope this helps
5 0
3 years ago
Read 2 more answers
Please help this is my last question
Eddi Din [679]

I looked it up for you

7 0
3 years ago
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