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ICE Princess25 [194]
3 years ago
13

Vinyl wallpaper is needed to cover 4 walls of a room. Each wall measures 12 feet by 8 feet and each bolt of wallpaper covers 72

square feet. Deduct 52 square feet for windows and the door. If the wallpaper costs $13.90 per bolt, how much will the paper cost?
Mathematics
1 answer:
motikmotik3 years ago
6 0
You would need about $68.00 dollars worth of wallpaper
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When will the equation p(b)=520(0.88)^b have a value less than 100?
yulyashka [42]

Answer:

The given equation will have value less than 100 whenever the value of b is greater than 12.89

Step-by-step explanation:

For the given equation, p(b) = 520 × 0.88^{b} to have a value less than 100 we can establish inequality as:

                     p(b) < 100

         or,  520 × 0.88^{b} < 100

         or, \frac{520}{520} × 0.88^{b} < \frac{100}{520}

         or, 0.88^{b} < \frac{1}{5.2}

         or, ㏒ ( 0.88^{b} ) < ㏒  (\frac{1}{5.2})

         or, b× ㏒ 0.88 < ㏒  (\frac{1}{5.2})

         or,  \frac{log (\frac{1}{5.2}) }{log (0.88)}   <  b

         or, 12.89 < b

Hence for the equation to have value less than 100, b must be greater than 12.89.

3 0
4 years ago
5) Which expression is equivalent to 4(3 + 2)?
kirill [66]
D, because if you distribute 4(3+2) it equals= 4x3
= 12
4x2
=8
and there’s an addition sign so you will add the remaining numbers 12+8
3 0
3 years ago
A cone has a radius of 5 ft and a height of 15 ft. It is empty and is being filled with water at a constant rate of 15 15 ft 3 f
kvasek [131]

Answer:

\frac{dr}{dt}=0.11062ft/sec

Step-by-step explanation:

From the question we are told that:

Radius r=5ft

Height H=15ft

Rate R=15ft/3sec =5ft/s

Surface Radius R_{surf}=2.2ft

Generally the equation for Volume is mathematically given by

 V=\frac{1}{3}\pi*r^2h

Since radius to height ratio gives

 \frac{r}{h}=\frac{5}{15}

 \frac{r}{h}=\frac{1}{3}

 h=3r

Therefore

 V=\frac{1}{3}\pi*r^2(3r)

 V=\pi r^3

Generally the equation for Change of Volume is mathematically given by

 \frac{dv}{dt}=\pi \frac{d}{dt}(r^3)

 \frac{dv}{dt}=\pi 3*r^2 \frac{dr}{dt}

 \frac{dv}{dt}=\pi 3*(2.2)^2 \frac{dr}{dt}

 \frac{dr}{dt}=\frac{5}{45.62}

 \frac{dr}{dt}=0.11062ft/sec

3 0
3 years ago
Express the number 20000 as a single digit integer times a power of 10
PolarNik [594]
The answer is 2 x 10^4 or 2 to the power of 4 (4th power) where;
2  x 10 x 10 x 10 x 10
2 x 10 =20
20 x 10= 200
200 x 10 = 2000
2000 x 10 = 20 000

Expressing a number to a single digit integer times a power of 10 is also writing a number in scientific form,where the number is multiplied by 10 to nth "power". Scientific notation is also called standard index form whereby, too large or too big numbers.
In writing the scientific notation of a number it follows this form: m x 10^n ( m is multiplied to 10 to the power of n)  where, m, the coefficient, is the real number and n is the exponent integer.<span><span /></span>

3 0
3 years ago
Find the area of the figure.
jasenka [17]
Divide into shapes that you can find the area of.....

you also have to cross out the 5 and the 4s because you will not need them

2×2= 4 sq. cm
2×2= 4 sq. cm
9×2 = 18 sq. cm

18 + 4 + 4 = 26 sq. cm

so the area is 26 sq. cm
6 0
3 years ago
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