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3 years ago

Dan was thinking of a number. Dan doubles it and gets an answer of 34.7. What was the original number?

Mathematics

2 answers:

Lelu [443]3 years ago

4 0

You need to do 34.7/2 (divided by 2) to figure this out. The answer would then equal to 17.35

Ksju [112]3 years ago

3 0

347/2 just did it!!! Good luck

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The circumference of a circular rug is 24.8 meters. What is the area of the rug? Use 3.1 for pi

mestny [16]

Answer:

The area of rug is 48.9 m^2

Step-by-step explanation:

Let's assume radius of rug is r m

we know formula for circumference as

$C=2\pi r$

we are given

C=24.8

and then we can solve for r

$24.8=2\pi r$

$r=3.947$

now, we can use area formula

$A=\pi r^2$

we can plug r

and we get

$A=\pi (3.947)^2$

$A=48.94227$

So,

The area of rug is 48.9 m^2

4 0

3 years ago

Consider the quadratic formula x^2=4x-4. how many solutions does the equation have

umka21 [38]

The equation only has 1 solution which is 2.

7 0

3 years ago

Thomas invests $50,000 in an account that compounds interest continuously and earns 15%. How long will it take for his money to

WARRIOR [948]

Answer:

It will take about 7.3 years for his money to triple.

Step-by-step explanation:

Identify the variables in the formula.

A = 150,000

P = 50,000

r = 0.15

t = ?

A = Pe^rt

Substitute the values into the formula.

150,000 = 50,000e^0.15*t

Solve for t. Divide each side by 50,000.

3 = e^0.15*t

Take the natural log of each side.

ln 3 = ln e^0.15*t

Use the power property and then simplify.

ln 3 = 0.15*t ln e

ln 3 = 0.15-t

Divide each side by 0.15.

(ln 3) /(0.15) = t

Approximate the answer.

t ≈ 7.3

4 0

3 years ago

Read 2 more answers

Is 1/8 - 10× (3/4-3/8X) + 5/8X equivalent to -1/8 × (59-35X)

zubka84 [21]

Yes, Both are equivalent.

<u>Step-by-step explanation:</u>

Step 1:

To find the equality between the given terms Use the BODMAS (Brackets Orders Division Multiplication Addition Subtraction)

RHS SIDE:

$(1/8)-10*((3/4)-(3/8*X)+(5/8*X)$

Equation after 1st modification

$(1/8)-((15/2)-(15/4*X))+(5/8*X)$

Equation after Second modification

$((1/8)-(15/2)+(15/4*X)+(5/8*X))$

Equation after Third modification

LCM 2,4,8 is 8

And taking LCM equation changes to $(1-60+30*X+5*X)/8$

Equation after Final modification

$(-59+35*X)/8$ --------- 1

Step 2:

LHS SIDE:

$-1/8*(59-35X)$

By applying the BODMAS rule in the above equation we will get

$(-59+35*X)/8$ ------------ 2

From equations 1 & 2, the expression $(1/8)-(10*((3/4)-(3/8*X))+(5/8*X)$ is equivalent to $(-1/8)*(59-35*X)$

5 0

3 years ago

(a + 3)(a - 2) (multiplying polynomials by polynomials is the assignment, i need help lol)

viktelen [127]

Answer:

a^2 +a -6

Step-by-step explanation:

(a + 3)(a - 2)

FOIL

first: a*a = a^2

outer: -2*a = -2a

inner: 3*a =3a

Last : -2*3 = -6

Add them together

a^2 -2a+3a -6

Combine like terms

a^2 +a -6

4 0

3 years ago

Read 2 more answers