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EleoNora [17]
3 years ago
13

I will give brainlyist to the first right answer

Mathematics
1 answer:
scZoUnD [109]3 years ago
3 0
To find equivalent expressions, distribute the 7 into (-3/4x - 3)

7(-3/4x) = -21/4x, which simplified is -5 1/4x
7(-3) = -21

Put together, this is -5 1/4x - 21 (answer 1)

Another way to write an equivalent expression would be to not simplify 7 times the distributed term. You could write 7(-3/4) + 7(-3) which makes #5 correct as well. #5 is 7(-3/4x) - 7(3). If this was simplified, it would equal answer choice 1.

#2 is not correct because 7 times -3/4x does not equal -7 3/4x

#3 is not correct because -21/4 simplifies to -5 1/4, not -6 1/4

#4 is not correct because 7(-3) does not equal -4
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A pot of boiling soup with an internal temperature of 100° Fahrenheit was taken off the stove to cool in a 65°F room. After fift
s344n2d4d5 [400]

86.34 minutes was used   to cool the soup to 80 °F

<h3></h3><h3>How can we calculate this using Newton's Law of Cooling?</h3>

Newton's Law of Cooling can be computed as :

T=T1+(T0- T1) e^{kt}

The initial temperature  is been represent by T0 which is  ( 100 F)

The temperature of surrounding  is been given as  (69 F)

The  final temperature  is been given  as  T

t = time

we were told that the temperature of the soup move to  95 F, using  15 minutes.

Hence,  T = 95 F

t = 15 min

Then we can input the values into the above equation as :

95= 69 + (100-69)e^{15k}

if we simplify this , we have

26= 31e^{15k}

Then e^{15k} =0.8387

Then we can find the value of k as :

k= -0.012

Then we have the new equation as

T= 69 + (100-69)e^{-0.012t}

T= 69 + 31e^{15k}

Then at T=80F

we have,

80= 69 + 31e^{15k}

t=86.34

Then if we simplify , we have t=86.34 which implies that  86.34 minutes was used   to cool the soup to 80 °F

Learn more about Newton's Law of Cooling at:

brainly.com/question/17051432

#SPJ1

8 0
2 years ago
3 people invest in a business in the ratio 2:3:5.if the profit from the business is $450 000.how much does each person get?​
r-ruslan [8.4K]
Each person gets 45,000
6 0
3 years ago
Read 2 more answers
A die is rolled and what is the probability that it will show a number greater than 4?
enyata [817]

Answer:

1/3

Step-by-step explanation:

A die has 6 numbers 1-6 and there are two numbers higher then 4, 5 and 6. so that is 2/6 or 1/3

6 0
3 years ago
To receive a grade of A on an 80-question test, 90% of the questions must be answered correctly. What is the maximum number of q
marta [7]

Answer:

The answer would be 8.

Step-by-step explanation:

This is a percentage question, and I have struggled with these before but this is the <em>easiest</em> way to solve it given these certain criteria.

Alright, so it's given that:

A) 90%= an A grade

and

B) This is an 80-question test.

Given these, we can do the following:

90% times 80, which equals <em>72</em>.

Just to check, we know that to convert percentages to fractions, we move the decimal two spots to the left, therefore 90%= 0.90, or 0.9. We take 72 and divide it by 80, and we get 0.9, thus showing that it is correct.

Then, we do 80-72 and using simple math we get 8.

8 0
3 years ago
What if Randy needs an equal number if bowls and cups for his picnic how many packs of each will he need to buy bowls number 1 p
nata0808 [166]
In order to find this, you will need to find the LCM of 8 and 6. This would be 24. For Bowls, 6*4 is 24 and cups 8*3 is 24.
So therefore
Bowls: 4 packs of 6
Cups: 3 packs of 8
4 0
3 years ago
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