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3 years ago

–25y – 35 plz tell me step by step

Mathematics

2 answers:

Ede4ka [16]3 years ago

8 0

The answer will be y= 1.4 ..

Korvikt [17]3 years ago

4 0

Answer:

Step-by-step explanation:Simplifying

25y = 35

Solving

25y = 35

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Divide each side by '25'.

y = 1.4

Simplifying

y = 1.4

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Solve for x by factoring X2-2x=35

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Two sides of an equilateral triangle have lengths x+2 and -2x+20 Which could be the length of the third side: 14-x or 2x+4?

just olya [345]

An equilateral triangle has 3 equal sides by definition.

so we know that x+2 = -2x+20 because we're told that those are both lengths of the triangle's sides. let's solve for x.

x+2 = -2x + 20
add 2x to both sides.
3x + 2 = 20
subtract 2 from both sides.
3x = 18
divide both sides by 3.
x = 6

now, let's find the length of the sides. plug 6 into one side, which is x+2.
6+2 = 8. so each side's length must be equal to 8. let's just check to make sure we didn't make a mistake. if this is correct, then -2x + 20 should also = 8.

-2(6) + 20
-12 + 20
8.

so we know that the sides = 8. let's see if 14 - x or 2x+4 are equal to 8 when we plug in 6 for x.

14 - 6 = 8. so 14-x could be a length for a side.

2(6) + 4 = 12 + 4 = 16. so 2x + 4 can not be a length for a side.

the answer is 14 - x only, or C.

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4 years ago

Your bank is offering a savings account with a nominal rate of 1.5%, compounded continuously. If you deposit $1,000 in 2010, wha

Anastaziya [24]

Answer:

$1,161.83

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Step-by-step explanation:

Continuously compounded interest is:

A = Pe^(rt)

where A is the final amount,

P is the initial amount,

r is the rate per time,

and t is time.

Given P = 1000, r = 0.015, and t = 10:

A = 1000e^(0.015 × 10)

A = 1000e^(0.15)

A = 1161.83

The effective annual yield is the annually compounded rate needed to have the same yield after the same time. For continuously compounded interest, he equation for effective annual yield is:

R = -1 + e^r

R = -1 + e^0.015

R = 0.0151

The effective annual yield is 1.51%.

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4 years ago

Which is the length of the hypotenuse of the right triangle? Round your answer to the nearest tenth of a centimeter. Hint: Pytha

jonny [76]

Answer:

$c =\sqrt{a^{2}+b^{2} }$

Step-by-step explanation:

You clear c, wich is the hypotenuse

$c =\sqrt{a^{2}+b^{2} }$

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4 years ago

Solve the inequality for x 3^(6x+18)<27^(3x)

Lera25 [3.4K]

Answer:

$\displaystyle x > 6$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Factoring

Algebra II

Exponential Rule [Powering]: $\displaystyle (b^m)^n = b^{m \cdot n}$
Solving exponential equations

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle 3^{6x + 18} < 27^{3x}$

Step 2: Solve for x

Rewrite: $\displaystyle 3^{6x + 18} < 3^{3(3x)}$
Set: $\displaystyle 6x + 18 < 3(3x)$
Factor: $\displaystyle 3(2x + 6) < 3(3x)$
[Division Property of Equality] Divide 3 on both sides: $\displaystyle 2x + 6 < 3x$
[Subtraction Property of Equality] Subtract 3x on both sides: $\displaystyle -x + 6 < 0$
[Subtraction Property of Equality] Subtract 6 on both sides: $\displaystyle -x < -6$
[Division Property of Equality] Divide -1 on both sides: $\displaystyle x > 6$

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