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2 years ago

In the equation, 3x + 5 < 18, what is the first step in order of operations?

Mathematics

1 answer:

adell [148]2 years ago

4 0

Answer:

Subtract 5 from both sides would be the first step for solving

Step-by-step explanation:

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Eva invests $6400 in a new savings account which earns 3.4 % annual interest, compounded continuously. What

cupoosta [38]

Answer:

$7821.74

Step-by-step explanation:

Eva invests $6400 in a new savings account which earns 3.4% annual interest, compounded continuously.

We have to find the value of her investment after 6 years,

Now, using the formula for the compound interest we can get the value of her investment.

So, it will be $V = 6400 (1 + \frac{3.4}{100} )^{6} = 7821.74$ Dollars (Approximate)

{Rounded to the nearest cent} (Answer)

7 0

2 years ago

Please solve these questions for me. i am having a difficult time understanding.

s2008m [1.1K]

Answer:

1) AD=BC(corresponding parts of congruent triangles)

2)The value of x and y are 65 ° and 77.5° respectively

Step-by-step explanation:

Given : AD||BC

AC bisects BD

So, AE=EC and BE=ED

We need to prove AD = BC

In ΔAED and ΔBEC

AE=EC (Given)

$\angle AED = \angel BEC$ ( Vertically opposite angles)

BE=ED (Given)

So, ΔAED ≅ ΔBEC (By SAS)

So, AD=BC(corresponding parts of congruent triangles)

Hence Proved

Refer the attached figure

$\angle ABC = 90^{\circ}$

In ΔDBC

BC=DC (Given)

So, $\angle CDB=\angle DBC$ (Opposite angles of equal sides are equal)

So, $\angle CDB=\angle DBC=x$

So, $\angle CDB+\angle DBC+\angle BCD = 180^{\circ}$ (Angle sum property)

x+x+50=180

2x+50=180

2x=130

x=65

So, $\angle CDB=\angle DBC=x = 65^{\circ}$

Now,

$\angle ABC = 90^{\circ}\\\angle ABC=\angle ABD+\angle DBC=\angle ABD+x=90$

So, $\angle ABD=90-x=90-65=25^{\circ}$

In ΔABD

AB = BD (Given)

So, $\angle BAD=\angle BDA$ (Opposite angles of equal sides are equal)

So, $\angle BAD=\angle BDA=y$

So, $\angle BAD+\angle BDA+\angle ABD = 180^{\circ}$ (Angle Sum property)

y+y+25=180

2y=180-25

2y=155

y=77.5

So, The value of x and y are 65 ° and 77.5° respectively

8 0

3 years ago

How to round to the nearest dollar add or subtract

Setler [38]

Okay Abrahammontiel1, the thing you must remember is any thing that is 5 or over must be rounded up and anything lower must be rounded down.
Example:
$2.30
since we want to round to the nearest dollar we look at the digit behind the whole dollar, which in this case is 0.3
and since it's lower that 0.5 we must round down
So it will look like this: $2

If we had a number like $4.72
we would look at the 0.7
and since it is greater that 0.5 we would round up so that it would equal $5

8 0

2 years ago

Maths question<br><br> Write an algebraic expression for each of the following

kotykmax [81]

Answer:

a) 3n+5

b) n+16

c) $\frac{n-9}{2}$

d) $\frac{x-u}{x+u}$

8 0

1 year ago

I need whats in the red rectangle

lorasvet [3.4K]

Answer:

Step-by-step explanation:

sqrt(5) + sqrt(405)

sqrt(5) + sqrt( 81*5)

sqrt(5) + sqrt(81) sqrt(5)

sqrt(5) +9 sqrt(5)

10 sqrt(5)

3 0

3 years ago