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3 years ago

6(r-4)-5(r-1)=2(r+6) r=?

Mathematics

2 answers:

grandymaker [24]3 years ago

8 0

Answer:

r = -31

Step-by-step explanation:

The picture is how I solved it.

dedylja [7]3 years ago

8 0

Answer: r=-31

Step-by-step explanation:

To find r, we want to use algebraic properties to isolate r.

6(r-4)-5(r-1)=2(r+6) [distribute]

6r-24-5r+5=2r+12 [combine like terms]

r-19=2r+12 [subtract both sides by 2r]

-r-19=12 [add both sides by 19]

-r=31 [divide both sides by -1]

r=-31

Now, we know that r=-31.

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6. (5 points) What is 3loga + logb − logc written as a single logarithm?

Jobisdone [24]

Answer: $log(\frac{a^3b}{c})$

Step-by-step explanation:

You need to use the following Properties of Logarithms:

$1)m*log(a)=log(a)^m\\\\2)log(a)+log(b)=log(ab)\\\\3)log(a)-log(b)=log(\frac{a}{b})$

Given the following expression:

$3log(a) + log(b) - log(c)$

You can follow these steps in order to write it as a single logarightm:

- Apply the first property shown above:

$=log(a)^3 + log(b) - log(c)$

- Apply the second property:

$=log(a^3b)- log(c)$

- Finally, apply the third property:

$=log(\frac{a^3b}{c})$

4 0

3 years ago

5-2(a+3b)/2 When a=4 and b=1.

nirvana33 [79]

Hello macelynn190!

$\huge \boxed{\mathfrak{Question} \downarrow}$

$\huge \tt \frac{5 - 2(a + 3b)}{2}$

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

To solve this question we need to substitute the given values of 'a' & 'b' in the equation & then simplify it.

Given,

a = 4
b = 1

Now, substitute this in the place of 'a' & 'b'..

$\large \tt \frac{5 - 2(a + 3b)}{2} \\ = \large \underline{\underline{\tt \: \frac{5 - 2((4) + 3(1))}{2} }}$

Lastly, simplify it...

$\large \tt \: \frac{5 - 2((4) + 3(1))}{2} \\ = \large \tt\frac{5 - 2(4 + 3)}{2} \\ = \large \tt \: \frac{5 - 2(7)}{2} \\ = \large \tt \: \frac{5 - 14}{2} \\ = \large \tt\frac{-9}{2} \\ = \large \boxed{\boxed{ \bf \: -\frac{9}{2}=-4.5}}$

The answer is -9/2 or -4.5

__________________

Hope it'll help you!

ℓu¢αzz ッ

5 0

2 years ago

Read 2 more answers

What is this answer?

valentina_108 [34]

The answer is d

Hope this helps

4 0

2 years ago

Read 2 more answers

Soup can be packaged in two different containers: a box and a cylinder. The dimensions of the box are 7.5 cm by 4.7 cm by 14.5 c

Brilliant_brown [7]

Answer: Cylinder uses less material to make.

Box holds more soup then cylinder.

Step-by-step explanation:

Total surface area of cuboidal box =2(lw+wh+lh), l= length, w=width, h=height

Total surface area of cylinder = $2\pi r(r+h)$ where r= radius and h is height.

Given , Dimension of box : 7.5 cm by 4.7 cm by 14.5 cm

Dimension of cylinder : radius of 3.3 cm and a height of 10 cm.

Total surface area of box =2((7.5)(4.7)+(4.7)(14.5)+(7.5)(147.5)) sq. cm

= 2(1209.65)

=2419.3 sq. cm

Total surface area of cylinder = $2(3.14)(3.3)(3.3+10)$ $=275.63\ \text{ sq. cm}$

[π=3.14]

(Total surface area of cylinder)<(Total surface area of box )

So, cylinder uses less material to make.

Volume of box = l x w x h

= (7.5)(4.7)(14.5) = 511.13 cubic cm

Volume of cylinder = $\pi r^2h$

$=(3.14)(3.3)^2(10)$

= 341.946 cubic cm

As (Volume of box) > (Volume of cylinder )

So, Box holds more soup then cylinder.

6 0

3 years ago

What is the answer to this question??

Nadya [2.5K]

V = height x cross section area
CSA = 6 x 5.5 = 33
Height of sand = 148.5 / 33 = 4.5 inches

3 0

2 years ago