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2 years ago

A comic book store is having a sale you can buy 20 comic books for $35. what is the cost of 8 comic books during the sale

Mathematics

2 answers:

Elodia [21]2 years ago

4 0

Answer:

$14

Step-by-step explanation:

35/20 = 1.75

8*1.75 = 14

zysi [14]2 years ago

4 0

Answer

$14

Step-by-step explanation:

You divide 35 by 20 so you get the cost of each individual comic book (35/20=$1.75 each)

then you multiply 8 by $1.75 which is equal to: $14

The answer is 14 dollars during the sale.

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You are designing a large rectangular fish tank for your tropical fish. The length will be 1 yard 3 inches, the width will be 1.

Keith_Richards [23]

One yard is 36 inches, 1.5 feet is 18 inches.

So the answer is...

(36+3)*18*20

= 39*18*28

= 702*28

= 19,656

4 0

2 years ago

Read 2 more answers

Steve likes to entertain friends at parties with "wire tricks." Suppose he takes a piece of wire 60 inches long and cuts it into

Alex_Xolod [135]

Answer:

a) the length of the wire for the circle = $(\frac{60\pi }{\pi+4}) in$

b)the length of the wire for the square = $(\frac{240}{\pi+4}) in$

c) the smallest possible area = 126.02 in² into two decimal places

Step-by-step explanation:

If one piece of wire for the square is y; and another piece of wire for circle is (60-y).

Then; we can say; let the side of the square be b

so 4(b)=y

b= $\frac{y}{4}$

Area of the square which is L² can now be said to be;

$A_S=(\frac{y}{4})^2 = \frac{y^2}{16}$

On the otherhand; let the radius (r) of the circle be;

2πr = 60-y

$r = \frac{60-y}{2\pi }$

Area of the circle which is πr² can now be;

$A_C= \pi (\frac{60-y}{2\pi } )^2$

$=( \frac{60-y}{4\pi } )^2$

Total Area (A);

A = $A_S+A_C$

= $\frac{y^2}{16} +(\frac{60-y}{4\pi } )^2$

For the smallest possible area; $\frac{dA}{dy}=0$

∴ $\frac{2y}{16}+\frac{2(60-y)(-1)}{4\pi}=0$

If we divide through with (2) and each entity move to the opposite side; we have:

$\frac{y}{18}=\frac{(60-y)}{2\pi}$

By cross multiplying; we have:

2πy = 480 - 8y

collect like terms

(2π + 8) y = 480

which can be reduced to (π + 4)y = 240 by dividing through with 2

$y= \frac{240}{\pi+4}$

∴ since $y= \frac{240}{\pi+4}$ , we can determine for the length of the circle ;

60-y can now be;

= $60-\frac{240}{\pi+4}$

= $\frac{(\pi+4)*60-240}{\pi+40}$

= $\frac{60\pi+240-240}{\pi+4}$

= $(\frac{60\pi}{\pi+4})in$

also, the length of wire for the square (y) ; $y= (\frac{240}{\pi+4})in$

The smallest possible area (A) = $\frac{1}{16} (\frac{240}{\pi+4})^2+(\frac{60\pi}{\pi+y})^2(\frac{1}{4\pi})$

= 126.0223095 in²

≅ 126.02 in² ( to two decimal places)

4 0

2 years ago

A bearing, measured at 1.234 inches with a caliper, must be replaced. Since the bearings are sized in 64ths of an inch, find the

Ganezh [65]

We have
1.234 in-----> 1+(0.234) in

we know that
1/64=0.015625
so
0.234/0.015625=14.98-----> 15
15/64-----> 0.234

therefore
1.234 in is equal to -----------> 1 15/64 in

the answer is
1 15/64 in

7 0

2 years ago

An American car travels 32 miles on one gallon of gas. A European car travels 12.7 kilometers on one liter of gas. Which car get

BabaBlast [244]

32 miles is the same as 19.8839 kilometers

There are 3.78541 liters in a gallon

Now we divide the two.

19.8839 / 3.78541 ≈ 5.25

The American car gets 5.25 km per liter. So the European car is better on gas economy.

5 0

2 years ago

After traveling for 4 hours and 1800 miles, an airplane begins a steady descent. When it begins descending, its altitude (height

andrey2020 [161]

Answer:

Part 1) Descending Rate = -2,000 ft/min

Part 2) Starting altitude value is 33,000 ft

Part 3) The linear equation for the plane's altitude (y) as a function of time (x) is: $y=-2000\,\frac{ft}{min} \,x\,+\,33000\,ft$

Part 4) The information not used for the equation is that the plane was travelling for 4 hours to cover 1800 miles before starting the descent

Step-by-step explanation:

Part 1)

The rate at which the airplane descends is given by the difference between final and initial altitude (17,000 ft-33,000 ft) divided the elapsed time (8 minutes):

$Descending\,\,Rate\,= \frac{17000-33000}{8} \,\,\frac{ft}{min}=\frac{-16000}{8} \,\,\frac{ft}{min}=-\,2000\,\,\frac{ft}{min}$

Part 2)

When graphing the descent (that is the plane's altitude as a function of time), the starting value for the altitude should be 33,000 ft

Part 3)

We can build the equation of the plane's altitude as a function of time in slope y-intercept form y = m x + b

by noticing that the slope "m" stands for the rate of descent that we found in part 1), and then using the information that at time zero (when the plane starts its descent), its altitude is 33000 ft:

$y=m\,x\,+\,b\\y=-2000\,\frac{ft}{min} \,x\,+\,b\\33000=-2000\,\frac{ft}{min} \,(0)\,+\,b\\33000=b$

with this information about the intercept "b", we can write the final expression for the plane's altitude as a function of time during its descent as:

$y=-2000\,\frac{ft}{min} \,x\,+\,33000\,ft$

Part 4)

The information that was not used to write the descent equation was the initial details about how long the plane traveled (4 hours) and for 1800 miles.

5 0

2 years ago