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2 years ago

Solve the equation for x

Mathematics

2 answers:

WARRIOR [948]2 years ago

6 0

Answer:

x = 5

Step-by-step explanation:

--- x - 9 = -7 add 9 both sides

--- x - 9 + 9 = -7 + 9

--- x = 2 multiply both sides by 5

5 * --- x = 2 * 5

2x = 10

x = 10 / 2

x = 5

Rasek [7]2 years ago

5 0

Answer:

the answer is 5

Step-by-step explanation:

2x/5 - 9 = -7

2x/5 = -7 + 9

2x/5 = 2

2x = 2 * 5

2x = 10

x = 10/2

x = 5

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Solve the inequality 3/5x+30 is less than or equal to 150

FrozenT [24]

Answer: less than

Step-by-step explanation:

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2 years ago

A bank account earns 2.5% interest per year. If the account starts with $500, approximately how many years will it take for the

belka [17]

Answer:

Step-by-step explanation:

Since we have an amount in the future of 750, we are going to use Future value formula; FV = PV (1+r)^t

where PV= Initial amount deposited

r= interest rate or discount rate

t = total duration of the investment

FV= 750

PV=500

r = 2.5% or 0.025 as a decimal

t = ?

Next, plug in the numbers into the formula;

750 = 500* (1+0.025)^t

divide both sides by 500;

750/500 = 1.025^t

Introduce ln on both sides

ln 1.5 = ln $1.025^{t}$

ln 1.5 = t ln 1.025

0.4054651 = 0.0246926 t

Divide both sides by 0.0246926 to solve for t;

0.4054651/0.0246926 = t

t = 16.42

Therefore it will take 16.42 years

4 0

3 years ago

Find the answer to (6!) in math

Alex Ar [27]

$\boxed{n!=1\cdot2\cdot3\cdot4\cdot...\cdot n}\\\\6!=1\cdot2\cdot3\cdot4\cdot5\cdot6=\boxed{720}$

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3 years ago

Read 2 more answers

Mrs. Tomas says that the number of students in her class on this week has no variability. Her student, Pierce, says that it does

user100 [1]

Answer:

Step-by-step explanation:

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2 years ago

Given:

diamong [38]

Answer:

10-5 $\sqrt{2}$

Step-by-step explanation:

As per the attached figure, right angled $\triangle MDL$ has an inscribed circle whose center is $I$ .

We have joined the incenter $I$ to the vertices of the $\triangle MDL$ .

Sides MD and DL are equal because we are given that $\angle M = \angle L = 45 ^\circ.$

Formula for area of a $\triangle = \dfrac{1}{2} \times base \times height$

As per the figure attached, we are given that side a = 10.

Using pythagoras theorem, we can easily calculate that side ML = 10 $\sqrt{2}$

Points P,Q and R are at $90 ^\circ$ on the sides ML, MD and DL respectively so IQ, IR and IP are heights of $\triangle$ MIL, $\triangle$ MID and $\triangle$ DIL.

Also,

$\text {Area of } \triangle MDL = \text {Area of } \triangle MIL +\text {Area of } \triangle MID+ \text {Area of } \triangle DIL$

$\dfrac{1}{2} \times 10 \times 10 = \dfrac{1}{2} \times r \times 10 + \dfrac{1}{2} \times r \times 10 + \dfrac{1}{2} \times r \times 10\sqrt2\\\Rightarrow r = \dfrac {10}{2+\sqrt2} \\\Rightarrow r = \dfrac{5\sqrt2}{\sqrt2+1}\\\text{Multiplying and divinding by }(\sqrt2 +1)\\\Rightarrow r = 10-5\sqrt2$

So, radius of circle = $10-5\sqrt2$

8 0

3 years ago