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iVinArrow [24]
2 years ago
11

Dennis can type 65 words per minute. At this

Mathematics
2 answers:
Charra [1.4K]2 years ago
8 0

Answer:

19 minutes

Step-by-step explanation:

just divide

xxTIMURxx [149]2 years ago
4 0
It will take him 19 minutes to type 1,235 words.
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A 22.5 ounce candle burns at the rate of one ounce every 5 hours. write an equation for the amount of candle left
maks197457 [2]

Answer:

y = 22.5 - 0.2t

Step-by-step explanation:

Given;

total number of candle, n = 22.5 ounce

Rate of candle burn, R = 1 ounce per 5 hours  = \frac{1 \ ounce}{5 \ hours} = 0.2 \ \frac{ounce}{hour}

The amount of candle left = total initial value - amount burnt

let the amount let = y

y = 22.5 - 0.2t

where;

t is the time in which the candle is burnt

Thus, the equation for the amount of candle left is given by;

y = 22.5 - 0.2t

7 0
1 year ago
Dustin is standing at the edge of a vertical cliff, 40 meters high, which overlooks a clear lake. He spots a fluffy white cloud
Licemer1 [7]

Answer:

53.33 meters

Step-by-step explanation:

Let AB represents the height of the cliff,

( where, A is top and B is bottom ),

Also, C and D represents the shadow of the cloud and cloud in the sky respectively,

Suppose E is a point in the segment CD,

Such that,

AB = DE = 40 meters,

According to the question,

m\angle CAE = 30^{\circ}

m\angle EAD = 60^{\circ}

Since,

\tan =\frac{\text{Perpendicular}}{\text{Base}}

\implies \tan 60^{\circ}=\frac{DE}{AE}

\sqrt{3}=\frac{40}{AE}

\implies AE = \frac{40}{\sqrt{3}}

Now,

\tan 30^{\circ}=\frac{CE}{AE}

\frac{1}{\sqrt{3}}=\frac{\sqrt{3}CE}{40}

\implies CE = \frac{40}{3}

Hence,

The height of the cloud above the lake = CE + ED

=\frac{40}{3}+40=13.33+40 = 53.33\text{ meters}

3 0
2 years ago
consider the followin polynomials equations a=3x2(x-1) b= -3x3+4x2-2x+1 . perform each operation and determine if the result is
Sedaia [141]

Answer:

All three operations lead to polynomials.

See explanations below.

Step-by-step explanation:

Polynomial a = 3x^2(x-1)=3x^3-3x^2

Polynomial b = -3x^3+4x^2-2x+1

Therefore:

a + b = 3x^3-3x^2+(-3x^3+4x^2-2x+1)=\\=3x^3-3x^2-3x^3+4x^2-2x+1=\\=x^2-2x+1

where we have combined all like terms. This is clearly another polynomial (of grade 2)

a - b (here we need to flip all signs inside the parenthesis when we remove this grouping symbol):3x^3-3x^2-(-3x^3+4x^2-2x+1)=\\3x^3-3x^2+3x^3-4x^2+2x-1=\\6x^3-7x^2+2x-1

which is clearly another polynomial (but of grade 3)

a * b : (here we use distributive property to multiply each term of the first polynomial by each term of the second one, and then combine like terms)

(3x^3-3x^2)*(-3x^3+4x^2-2x+1)=\\-9x^6+12x^5-6x^4+3x^3+9x^5-12x^4+6x^3-3x^2=\\-9x^6+21x^5-18x^4+9x^3-3x^2 which is indeed another polynomial (this time of grade 6)

5 0
2 years ago
10=c+d<br> c is one more than d <br> what is the value of c?<br>with working out
Leya [2.2K]
C= 5.5 I'm pretty sure that's the answer

d= 4.5 and c+ 5.5
Because 4.5 plus 1.0 = 5.5
since c is one more than d

5.5 plus 4.5 = 10
5 0
2 years ago
Juanita receives her paycheck and knows that her gross pay and federal tax are correct. Using the fact that Social Security tax
Damm [24]
Gross pay is 1020.00
fed tax is 107.00

social security is 6.2% of gross pay......6.2% of 1020.00 =
0.062(1020) = 63.24

medicare is 1.45% of gross pay....1.45% of 1020.00 =
0.0145(1020) = 14.79

state tax is 19% of fed tax....19% of 107.00 =
0.19(107) = 20.33

therefore, her net pay is : 1020 - (107 + 63.24 + 14.79 + 20.33) =
1020 - 205.36 = 814.64

answer : the net pay is correct <==


8 0
1 year ago
Read 2 more answers
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