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taurus [48]
3 years ago
14

28 girls and 32 boys volunteer to plant trees at a school. the principal divides the girls and boys into identical groups that h

ave girls and boys in each group. what is the greatest number of groups the principal can make?
Mathematics
2 answers:
svetoff [14.1K]3 years ago
8 0
The answer will be the biggest number, by which you can divide both 28 and 32. So you can divide them in 4 groups (28/4=7 girls per group & 32/4=8boys per group)
Darina [25.2K]3 years ago
6 0

Answer:

4 groups

Step-by-step explanation:

The question asks, "What is the greatest number of groups the principal can make?" so, you have to find the GCF (Greatest Common Factor)

28: 1, 2, <u>4</u>, 7, 14, 28

32: 1, 2, <u>4</u>, 8, 16, 32

As you can see, 4 is the greatest common factor here.

So, the greatest number of groups that the principal can make is 4 groups.

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After heating up in a teapot, a cup of hot water is poured at a temperature of 204°F.
laila [671]

Answer:

  • Question 1: 0.081 min⁻¹
  • Question 2: 168ºF

Explanation:

The missing equation is:

             T=T_a+(T_0-T_a)e^{-kt}

You are given:

  • Ta = the temperature surrounding the object = 73ºF
  • T₀ = the initial temperature of the object = 204ºF
  • t = 2.5 min
  • T after 2.5 min = 180ºF

Question 1: Find the the value of k.

Substitute the data into the equation and solve for k:

          180\º=73\º+(204\º-73\º)e^{-k\cdot 2.5min}\\ \\ 107\º=131\ºe^{-k\cdot 2.5min}\\\\-k\cdot 2.5min=\ln (107/131)\\\\k=0.081min^{-1}

Question 2: Find the Fahrenheit temperature of the cup of water, to the nearest degree, after 4 minutes.

Subsititute into the formula and compute:

            T=73\ºF+(204\ºF-73\ºF)e^{-0.081min^{-1}\times 4min}\\ \\ T=73\ºF+(131\ºF)(0.72325024)\\\\T=168\ºF

4 0
4 years ago
Help please (see below)
Elden [556K]

Answer:

The quotient is 10x + 16

The remainder is 28x^2 + 10x +22

4 0
3 years ago
If the sin P = √2/2, what is the value of cos P
ArbitrLikvidat [17]

Answer:

√2/2

Step-by-step explanation:

If sinP = √2/2,

Rationalize;

√2/2

= √2/2,*√2/√2

√4/2√2

= 2/2√2

= 1/√2

Hence sinP = 1/√2

Take sin inverse of both sies

arcsinP = arcsin1/√2

P = 45 degrees

cos P =  Cos 45

= 1/√2

= 1/√2 * √2/√2

= √2/2

Hence the value of cosP is √2/2

5 0
3 years ago
Will give brainliest
Katen [24]

Answer:

Trapezoid

Step-by-step explanation:

The two sloped opposite sides are congruent. The two uncongruent opposite sides are parallel. There are no right angles. You can do this by finding the distance and slopes of the lines.

Not triangle because has four vertices.

3 0
3 years ago
I hope you can see but can somebody please help me with this?
marysya [2.9K]

Answer:

c find the value

Step-by-step explanation:

plz workout

3 0
3 years ago
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