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3 years ago

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

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and,

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ln(e) = 1

therefore,

the above equation transforms as:

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

taking anti-ln both sides,

we get

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

x = $ye^{2a}$

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Alenkinab [10]

I think the answer is D.
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Eddi Din [679]

I looked it up for you

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