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Harlamova29_29 [7]
3 years ago
7

Can someone simplify

Mathematics
1 answer:
Rashid [163]3 years ago
7 0

Answer:

Option (2). 2\frac{1}{4}

Step-by-step explanation:

The given expression is [-5\frac{1}{4}-(-7\frac{1}{2})]

We can rewrite the fractions as,

-5\frac{1}{4} = -(5+\frac{1}{4})

-7\frac{1}{2}=-(7+\frac{1}{2})

Now we will substitute the fractions in the expression,

[-(5+\frac{1}{4})]-[-(7+\frac{1}{2})]

= -(5+\frac{1}{4})+(7+\frac{1}{2})

= (-5 + 7) + (-\frac{1}{4}+\frac{1}{2})

= 2 + \frac{2-1}{4}

= 2 + \frac{1}{4}

= 2\frac{1}{4}

Therefore, Option (2). will be the answer.

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Our school has 6 Grade and 786 students. What is the average number of students in each grade
Harrizon [31]

Answer:

The average number of students in each grade is 131 students

Step-by-step explanation:

In order to get this answer, you will divide 786 by 6 because 768 is the number of students in your school and 6 is the number of grades. Once you divided 786 and 6, you should get 131. Hope this helps! :)

<h3>CloutAnswers</h3>
3 0
3 years ago
Read 2 more answers
Log(x-2)+log2=2logy<br>log(x-3y+3)=0​
In-s [12.5K]

Answer:

<h2>x = 4 and y = 2 or x = 10 and y = 4</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}\log(x-2)+\log2=2\log y&(1)\\\log(x-3y+3)=0&(2)\end{array}\right

===========================\\\text{DOMAIN:}\\\\x-2>0\to x>2\\y>0\\x-3y+3>0\to x-3y>-3\\=====================\\\\\text{We know:}\ \log_ab=c\iff a^c=b,\\\\\text{therefore}\ \log_ab=0\iff a^0=b\to b=1\\\\\text{From this we have}\\\\\log(x-3y+3)=0\iff x-3y+3=1\qquad\text{add}\ 3y\ \text{to both sides}\\\\x+3=3y+1\qquad\text{subtract 3 from both isdes}\\\\\boxed{x=3y-2}\qquad(*)\\\\\text{Substitute it to (1)}

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y^2=(3y)(2)+(-4)(2)\\\\y^2=6y-8\qquad\text{subtract}\ 6y\ \text{from both sides}\\\\y^2-6y=-8\qquad\text{add 8 to both sides}\\\\y^2-6y+8=0\\\\y^2-2y-4y+8=0\\\\y(y-2)-4(y-2)=0\\\\(y-2)(y-4)=0\iff y-2=0\ \vee\ y-4=0\\\\\boxed{y=2\ \vee\ y=4}\in D

\text{Put the values of}\ y\ \text{to }\ (*):\\\\\text{for}\ y=2:\\\\x=3(2)-2\\\\x=6-2\\\\\boxed{x=4}\in D\\\\\text{for}\ y=4:\\\\x=3(4)-2\\\\x=12-2\\\\\boxed{x=10}\in D

4 0
3 years ago
Could really use some help <br>​
MrRissso [65]
Answer:
X= 114
I don’t know what y is labeling so I won’t be able to help there sorry
5 0
3 years ago
Ahmed bought a car for $5000 which is the 80% of the original price of the car. Calculate the original price of the car.
WITCHER [35]

Answer:

$6250

Step-by-step explanation:

5000 = 80%

5000/80=62.5

62.5*100=6250

8 0
3 years ago
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muminat
Hello!

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I may be wrong let me know.
Hope this helps!
5 0
3 years ago
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