From midnight until 8:00 AM, the temperature tripled and then rose 5 degrees. The temperature at 8:00 AM was –7 degrees Celsius. Write and solve an equation to find the temperature at midnight.

Answers

Answer 1
Answer:

The equation of the temperature at midnight is written as 3y + 5 = -7

The temperature at the midnight is calculated to be -4 degrees

How to write the equation of the temperature at midnight

The equation for the temperature at midnight is following the information given in the problem tripled and increased by 5

Assuming the temperature at midnight is y. For the temperature to triple we have

3y

For the temperature to rise 5 degrees will result to

3y + 5 = -7

solving for y

3y + 5 = -7

3y = -7 - 5

3y = -12

y = -4

At midnight the temperature was -4 degrees

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Hayden is a manager at a landscaping company. He has two workers to landscape an entire park, Cody and Kaitlyn. Cody can complete the project in 8 hours. Kaitlyn can complete the project in 6 hours. Hayden wants to know how long it will take them to complete the project together. Write an equation and solve for the time it takes Cody and Kaitlyn to complete the project together. Explain each step.

What is a fraction for 2.43?

Answers

2.43
= 2+ 0.43
= 2+ 43/100
= 200/100+ 43/100
= 243/100

The final answer is 243/100~
.43 = 43/100
So it is 2 43/100
If you want an improper fraction, it is 243/100


Derrick compared two lengths of rope using an inequality. د. أزرگ What does the inequality show? O 2 The number 53 is less than 65. 2 O The number 5 is greater than 65 The number is 6. less than 5 1 2 The number 5 is greater than​

Answers

Answer:

A)-The number 5 2/3 is less than 6 1/5

Step-by-step explanation:

I got it right :D

Answer:

A. The number 5 and two-thirds is less than 6 and one-fifth.

Step-by-step explanation:

i took the quiz and got it right

What composite number is greater than 1000 whose prime factorization contains 1 prime number that does not repeat 1 prime number that repeats three times and 1 prime number that repeats twice?

Answers

Final answer:

The composite number sought is 12250 which is greater than 1000. Its prime factorization includes the prime numbers 2 (that does not repeat), 5 (that repeats thrice), and 7 (that repeats twice).

Explanation:

The subject is looking for a composite number greater than 1000, whose prime factorization contains 3 types of prime numbers: one that does not repeat, the second repeats three times, and the third repeats twice. We have many prime numbers but to get a number greater than 1000, let’s use larger prime numbers for instance 2, 5 and 7. Let's calculate the composite number with these primes:

2^1 * 5^3 * 7^2 = 2 * 125 * 49 = 12250

Therefore, 12250 is a composite number greater than 1000 whose prime factorization contains 1 prime number(2) that does not repeat, 1 prime number(5) that repeats three times and 1 prime number(7) that repeats twice.

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I have a 96 in class and i get a 75 on a assignment that’s worth 10% whats my grade?

Answers

Answer:

Step-by-step explanation:

That would either be a B or a C!

Answer:

To calculate your overall grade, we can use the weighting of each component. Since the assignment is worth 10% of your grade, we can calculate its contribution using the following formula:

(96 * 90%) + (75 * 10%)

First, we multiply your current grade of 96 by 90% (which represents the remaining 90% of your grade) to calculate its contribution. Then, we multiply your assignment grade of 75 by 10% to calculate its contribution. Finally, we add these two contributions together:

(96 * 90%) + (75 * 10%) = 86.4 + 7.5 = 93.9

Therefore, your grade after receiving a 75 on an assignment worth 10% would be approximately 93.9%.

According to the Rational Root Theorem, which could be a factor of the polynomial f(x) = 3x3 – 5x2 – 12x + 20?2x + 1
2x – 1
3x + 5
3x – 5

Answers

Answer:

D. 3x-5

Step-by-step explanation:

We have been given an polynomial f(x)=3x^3-5x^2-12x+20 and we are asked to choose the correct option that represents the factor of our given polynomial according to the rational root theorem.

First of all we will factor our polynomial.

f(x)=x^2(3x-5)-4(3x-5)

f(x)=(x^2-4)(3x-5)

f(x)=(x+2)(x-2)(3x-5)

Therefore, (3x-5) will be a factor of our given polynomial and option D is the correct choice.

Answer:

D.) 3x – 5

Step-by-step explanation:

THE SUM OF TWO NUMBERS IS 54. IF THE SMALLER NUMBER IS 6 LESS THAN THE BIGGER ONE, FIND THE NUMBERS. (STEP BY STEP PLZ)​

Answers

Answer:

24 and 30

Step-by-step explanation:

The sum of two numbers is 54. Let's use the variables x and y to represent theses numbers:

x + y = 54

The smaller number is 6 less than the bigger one. Let's say that x is the smaller number and y is the bigger number:

y - 6 = x

Now we know that x is equivalent to y - 6. So, let's replace x with y - 6 in the original equation:

x + y = 54

y - 6 + y = 54

Combine like terms:

2y - 6 = 54

Now we can solve for y:

2y - 6 = 54

Add 6 to both sides of the equation to isolate the 2y:

2y = 60

Divide both sides by 2 to find the value of y:

y = 30

Now that we know the value of y, we can solve for x:

y - 6 = x

30 - 6 = x

24 = x

The value of the two numbers is 24 and 30.