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Alex Ar [27]
3 years ago
8

Jimmy gets a discount of 35% for a pair of sneakers with an original price of $70. He also gets a discount of 25% on a shirt wit

h an original price of $30. How much money does Jimmy save in all?
Mathematics
2 answers:
Tanya [424]3 years ago
8 0
First find the total without using the dicounts. then do 70×.35 which is 35% as a decimal. your answer is the dicounts but that is how much you are taking off. .35×70= 24.5 then you would do 70-24.5=45.5 then do the same for the other amount. add these two amounts together. ( 30×.25=7.5 30-7.5= 22.5) 45.5+22.5= 68 then do your first answer - 68 and that is how much is saved
ziro4ka [17]3 years ago
4 0
Jimmy saves $24.50 on the sneakers & $7.50 on the shirt. A total savings of $32.00.
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miss Kelly's son storage closet is 3 feet long 3 feet wide and 7 feet high she. can she fit 67 boxes that each have one volume o
noname [10]
Volume is length times width times height so the closet's volume is 3x3x7 which equals 63 cubic feet. 

Because 63 is less than 67, she can not fix 67 boxes in her closet.
8 0
4 years ago
Read 2 more answers
Suppose r(t) = (et cos t)i + (et sin t)j. Show that the angle between r and a never changes. What is the angle?
tatyana61 [14]

Answer:

Angle = Ф = cos^{-1}(0) = 0

Hence, it is proved that angle between position vector r and acceleration vector a = 0 and is it never changes.

Step-by-step explanation:

Given vector r(t) = e^{t}cost i + e^{t}sint j

As we know that,

velocity vector = v = \frac{dr}{dt}

Implies that

velocity vector = (e^{t} cost - e^{t} sint)i + (e^{t} sint - e^{t}cost )j

As acceleration is velocity over time so:

acceleration vector = a = \frac{dv}{dt}

Implies that

vector a =

(e^{t}cost - e^{t}sint - e^{t}sint - e^{t}cost )i + ( e^{t}sint + e^{t}cost + e^{t}cost - e^{t}sint )j

vector a = (-2e^{t}sint) i + ( 2e^{t}cost)j

Now scalar product of position vector r and acceleration vector a:

r. a = . \\

r.a = -2e^{2t}sintcost + 2e^{2t}sintcost

r.a = 0

Now, for angle between position vector r and acceleration vector a is given by:

cosФ = \frac{r.a}{|r|.|a|} = \frac{0}{|r|.|a|} = 0

Ф = cos^{-1}(0) = 0

Hence, it is proved that angle between position vector r and acceleration vector a = 0 and is it never changes.

4 0
3 years ago
Find the value of x in each figure
sergey [27]
I believe x is 43.

3x+17+x-9=180 It is 180 because a straight line is 180 degrees
4x+8=180
     -8    -8   subtraction property of equality
---------------
4/4x=172/4   division property of equality
x=43  solution

4 0
3 years ago
Suppose that the lifetime of tv tubes are normally distributed with a standard deviation of 1.1 years. Suppose that exactly 20%
IrinaK [193]

Answer:

4.924 years

Step-by-step explanation:

Lets denote X the lifetime of a tv tube (In years). X has distribution N(\mu, 1.1) , with \mu unknown.

We know that P(X < 4) = 0.2. Using this data, we can find the value of \mu throught standarization.

Lets call Z = \frac{X - \mu}{1.1} the standarization of X. Z has distribution N(0,1), and its cummulative function, \phi is tabulated. The values of \phi can be found in the attached file.

P(X < 4) = P(\frac{X - \mu}{1.1} < \frac{4 - \mu}{1.1}) = P(Z < \frac{4 - \mu}{1.1}) = \phi(\frac{4 - \mu}{1.1}) = 0.2

The value q such that \phi (q) = 0.2 doesnt appear on the table. We can find it by using the symmetry of the normal density function. The opposite of q, -q must verify that \phi(-q) = 0.8 , hence -q must be equal to 0.84. Thus, q = -0.84

But this value of q should match with the number \frac{4 - \mu}{1.1} , so we have

\frac{4- \mu}{1.1} = -0.84

4 - \mu = 1.1 * (-0.84) = -0.924

\mu = 4 - (-0.924) = 4.924

Thus, the expected lifetime of TV tubes is 4.924 years.

I hope this works for you!

Download pdf
7 0
4 years ago
What is the quotient in simplest form, 4/5 divided by 8.<br><br> A.1/10<br> B.1/2<br> C.8<br> D.10
Salsk061 [2.6K]
<h3>Answer:  A) 1/10</h3>

=============================================

Work Shown:

(4/5) divided by 8

(4/5) divided by (8/1)

(4/5) * (1/8) .... flip the second fraction and multiply

(4*1)/(5*8)

(4*1)/(5*4*2)

1/(5*2) ... the '4's cancel

1/10

--------------

Alternative method:

4/5 = 0.8 when using a calculator or long division

(4/5) divided by 8 = 0.8/8 = 0.1

0.1 = 1/10

The digit 1 in 0.1 is in the tenths place, so that's why 0.1 = 1/10

Or you could use your calculator to see that 1/10 = 0.1

Another idea is to do

0.1 = 0.1/1 = 0.1/1.0 = 1.0/10.0 = 1/10

here I moved the decimal point 2 spots to the right for the numerator and denominator.

4 0
3 years ago
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