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erastova [34]
3 years ago
5

A collection of 77 quarters and dimes is worth $12.50. How many quarters are in the collection? PLS HELP ILL GIVE YOU BRAINLEST

ANSWER
Mathematics
1 answer:
mrs_skeptik [129]3 years ago
3 0

Answer:

32

Step-by-step explanation:

77 quarters and dimes

q + d = 77

subtract q from both sides

d = 77 - q

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

A collection of  quarters and dimes is worth $12.50 (1250 cents)

25q + 10d = 1250

substitute for d

25q + 10(77 - q) = 1250

distribute

25q + 770 - 10q = 1250

Combine like terms

15q + 770 = 1250

subtract 770 from both sides

15q = 480

divide both sides by 15

q = 32

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Exact value of 37.26 divided by 1.8 divided by 1000 is​
Luden [163]

Answer:

0.0207

Step-by-step explanation:

  1. 37.26 / 1.8 = 20.7\\
  2. 20.7 / 1000 = 0.0207\\
7 0
2 years ago
Find the m < t rounded to the nearest degree
serg [7]

Answer:

28° (Answer A)

Step-by-step explanation:

Note that tan t = 8/15 = 0.533

Applying the inverse tangent function, we get

t = arctan 0.533 = 0.4900 radian

Mult. this by the radian-degree conversion factor results in:  28.072°

and when rounded off to the nearest degree, the measure of angle T is 28°  (Answer A)

5 0
3 years ago
Volume and surface area are often compared by manufacturers in order to maximize how much of something can go inside of a packag
notka56 [123]
We have no dimensions to work with. I'll pick some and try and comply with the conditions of the problem. 

Suppose you have an object that is 14 by 22 by 27 cm. These three numbers have no common factor so they cannot be reduced any further, which is helpful for this problem.

Find the Volume
Volume

l = 27 cm
w = 14 cm
h = 22 cm

V = 27 *14 * 22
V = 8316 cm^3

Find the surface area
SA = 2*l*w + 2*l*h  + 2*w*h
SA = 2*27*14  +  2*27*22   +  2*14*22
SA = 756 + 1188 + 616
SA = 2558

Just looking at these numbers The surface area is about 1/3 of the volume. I don't think this is always true.


 \frac{SA}{V} =  \frac{2*L*W  + 2*L*H + 2*W*H}{L*W*H} 

Another way to do this is to consider a cube which might give you a more useful result. 

s = L = W = H all three dimensions are equal in a cube.
The volume of a cube is s*s*s = s^3
The surface area of a cube is 2*s*s + 2*s*s + 2s*s = 6s^2

\frac{SA_cube}{V_cube} =  \frac{6s*s}{s*s*s}
\frac{SA}{V} =  \frac{6}{s}

That means whatever the side length, the Surface Area to volume = 6/the side length which is kind of an interesting result.


4 0
3 years ago
Need the answer please and thank you
klasskru [66]
Hi there,

There appears to be no question....
3 0
3 years ago
Complete the sentence.<br> 32 g≈ ___ oz
Elena L [17]

32g = 1.12877oz or 32 grams is equivalent to 1.12877 ounces.

In mathematics, conversion is the process of changing the value of one form or unit to another. It can be changing ones unit of length, weight, volume or even currency to another.

A conversion factor is a number used to change one set of units to another, either by multiplying or dividing.

The sentence states an equality between units of weight: grams and ounces.

From there, we can say that we are asked how many ounces are there in 32 grams.

Converting grams to ounces, we must use the conversion

1 gram = 0.035274 ounces

32 grams = 32 (0.035274 ounces)

32 grams = 1.12877 ounces

To learn more about conversion: brainly.com/question/97386

#SPJ4

8 0
1 year ago
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