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aliina [53]
3 years ago
14

Ms. Tyson is doing an engineering challenge with her students. Each team will get a kit with bags of marshmallows and boxes of t

oothpicks. Ms. Tyson has 36 bags of marshmallows and 48 boxes of toothpicks. She wants to use all the bags of marshmallows and all the boxes of toothpicks to make identical kits for the teams.​ which of the following numbers of identical kits can Ms. Tyson make? Is it: 1,2,5,6,10,15
Mathematics
1 answer:
natka813 [3]3 years ago
7 0

Answer:

Step-by-step explanation:

15

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The temperature of a cup of coffee varies according to Newton's Law of Cooling: dT dt equals negative k times the quantity T min
denis23 [38]

Answer:

  (b)  67

Step-by-step explanation:

A solution to the differential equation describing the temperature according to Newton's Law of Cooling could be written as ...

  T = (final temp) + (initial difference)×(decay factor)^t

where the decay factor is the fraction of change during 1 unit of time period t.

__

Here, the initial difference of 100-25 = 75 degrees decays to 90-25 = 65 degrees in 1 minute. So, the units of t are minutes, the decay factor is 65/75, the initial difference is 75 degrees, and the final temperature is 25 degrees. That lets us write the equation as ...

  T = 25 +75(65/75)^t

Then for t=4, the temperature is ...

  T = 25 +75(13/15)^4 ≈ 67.3 . . . . degrees

After 4 minutes the temperature of the coffee is about 67 degrees.

4 0
1 year ago
In rectangle ABCD, AB = 10 cm and BC = 14 cm. If rectangle EFGH is the image after a dilation, which could be its side lengths?
lana [24]

Answer is D

After dilation the image remain same but it is stretched or shrinked to the original size.

That means the ratio of the sides and the angles between the sides remain same .

Here we did dilation of ABCD which made it to EFGH.

Hence the ratio of the corresponding sides of the original rectangle ABCD should remain same even after dilation.

the corresponding sides are : AB and EF

BC and FG

CD and GH

DA and HE

* Let us find ratio of the sides AB and BC

given that AB= 10 and BC= 14

AB/BC= 10/14 = 5 /7 ( 10 and 14 both are multiple of 2 so we reduced them by a factor of 2 )

* the raio of the corresponding sides EF and FG should be same ( 5/7)

in the option D EF= 25 and FG= 35

so EF/FG= 25/35 = 5 /7 ( both are multiple of 5 so we reduced them by the factor of 5 )

Since ratio of the corresponding sides are coming out to be same for the EFGH given in option D it should be the dilation of the ABCD

4 0
2 years ago
Read 2 more answers
What is c? Is what I want to know
Contact [7]
C is 2020 bdecuase I want points
3 0
3 years ago
Cesar danced for 16 minutes on Saturday. On Sunday he danced for 28 minutes more than he did on Saturday. How long has he danced
KIM [24]

Answer:

60 minutes

Step-by-step explanation:

Saturday = 16 minutes

Sunday = 28 minutes + 16 minutes = 44 minutes

Saturday + Sunday = 44 + 16 = 60 minutes

3 0
1 year ago
How can you make 100 by adding with the numbers 2653
lora16 [44]
You can’t? I mean like adding 100 at a time or-
7 0
3 years ago
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