Need help with this one as well

-7m+4< -45 for solving an inequality

worty [1.4K]

Solving the inequality $-7m+4< -45$ we get $m>7$

Step-by-step explanation:

We need to solve the inequality: $-7m+4< -45$

Solving:

$-7m+4< -45$

Adding -4 on both sides:

$-7m+4-4< -45-4$

$-7m< -49$

Divide both sides by -7 and reverse the inequality:

$\frac{-7m}{-7}>\frac{-49}{-7}$

$m>7$

So, solving the inequality $-7m+4< -45$ we get $m>7$

Keywords: Solving inequalities

Learn more about Solving inequalities at:

#learnwithBrainly

4 0

3 years ago

One number is 5 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 779,

AlladinOne [14]

Answer:

Step-by-step explanation:

x - the first number

One number is 5 times a first number:

5x - "one" number (the second number)

A third number is 100 more than the first number:

x + 100 - the third number

x + 5x + x+100 - the sum of the three numbers

x + 5x + x+100 = 779

-100 -100

7x = 679

÷7 ÷7

x = 97

5x = 5•97 = 485

x+100 = 97 + 100 = 197

Check:

97 + 485 + 197 = 779

7 0

3 years ago

Please write complete and right answer

e-lub [12.9K]

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where is the different number?

4 0

3 years ago

How many solutions does x2 - 10x=-25 have?

Elina [12.6K]

Answer:

4.2 Solving x2-10x+25 = 0 by Completing The Square . This quadratic equation has one solution only. That's because adding zero is the same as subtracting zero.

Step-by-step explanation:

3 0

3 years ago

You are designing a 1000 cm^3 right circular cylindrical can whose manufacture will take waste into account. There is no waste i

asambeis [7]

Answer:

h /r = 2.55

Step-by-step explanation:

Area of a can:

Total area of the can = area of (top + bottom) + lateral area

lateral area 2πrh without waste

area of base (considering that you use 2r square) is 4r²

area of bottom ( for same reason ) 4r²

Then Total area = 8r² + 2πrh

Now can volume is 1000 = πr²h h = 1000/πr²

And A(r) = 8r² + 2πr(1000)/πr²

A(r) = 8r² + 2000/r

Taking derivatives both sides

A´(r) = 16 r - 2000/r²

If A´(r) = 0 16 r - 2000/r² = 0

(16r³ - 2000)/ r² = 0 16r³ - 2000 = 0

r³ = 125

r = 5 cm and h = ( 1000)/ πr² h = 1000/ 3.14* 25

h = 12,74 cm

ratio h /r = 12.74/5 h /r = 2.55

5 0

3 years ago