MATHEMATICS MIDDLE SCHOOL

3 ( 2m - 1 ) - 5m ≤ -1 Please help

Answers

Answer 1

Answer:

3 ( 2m - 1 ) - 5m ≤ -1

6m-3-5m≤ -1

m-3≤ -1

m ≤ 2

Answer 2

Answer: 6m - 3 - 5m ≤ -1
so m = 2

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jenny wants to buy cereal that comes In large and small boxes. the 32-ounce box costs $4.16 and the 14-ounce box costs $2.38. which box is less expensive ? explain

Answers

The 32-ounce box is less expensive because it's only 0.13 cents per ounce (4.16 divided by 32) where as the 14 ounce box is 0.17 cents per ounce (2.38 divided by 14).

Hope this helps!

32 divided by 4.16 equals 7.70
14 divided by 2.38 equals 5.88
Therefore the 14 ounce is less expensive

a 15 foot tall tree is next to a slide tree is casting a shadow of 20 feet and the slide is casting a shadow that is 16 feet how tall is the slide

Answers

ok ratio and proportion
realheight:shadow=15:20

slide shadow=16
therefor find realheightslide

15:20=realheightslide:16
simplify
3:4=realheight:16
fractionfy
3/4=realheight/16
multiply both sides by 16
48/4=realheight
12=realheight

aswer is 12 feet

What is 1/3 of the area of a rectangle?

Answers

-- The area of a rectangle is (length) · (width) .

-- 1/3 of the area of a rectangle is (1/3) · (length) · (width) .

15/60 as a percentage

Answers

15/60=1/4=0.25
0.25*100=25
15/60 in % is 25%

Answer:

25%

Step-by-step explanation:

15 is 1/4 of 60, and 1/4 is 25%.

Write each sum as a product. Identify the factors in the product

a. 18 + 63

b. 84 + 35

Answers

$a.\n18=9\cdot2;\ 63=9\cdot7\n\n18+63=9\cdot2+9\cdot7=\boxed{9\cdot(2+7)}\n-----------------------------\n\nb.\n84=7\cdot12;\ 35=7\cdot5\n\n84+35=7\cdot12+7\cdot5=\boxed{7\cdot(12+5)}$

If y(x)=1/3cos^34x,then dy/dx is

Answers

Answer:

$(dy)/(dx)=-4\cos^(2) 4x \sin4x$

Step-by-step explanation:

We have $y=f(x)=(1)/(3) \cos^(3) 4x$ and we have to find $(dy)/(dx)$

Now, $y=f(x)=(1)/(3) \cos^(3) 4x$

Differentiating both sides of the equation with respect to x we get,

$(dy)/(dx) = (1)/(3) * 3 * \cos^(2) 4x * (-\sin4x) * 4$ {Since we know the formula $(dx^(n) )/(dx) =nx^(n-1)$ and another formula $(d(\cos x))/(dx) = -\sin x$ }

⇒ $(dy)/(dx)=-4\cos^(2) 4x \sin4x$ ( Answer )

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