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Anit [1.1K]
2 years ago
13

Solve the following equation for x 5x-30y=-35.

Mathematics
2 answers:
Alex17521 [72]2 years ago
7 0

5x-30y=-35

Divide both the side by 5 and we get

x-6y = -7

x = 6y -7

mars1129 [50]2 years ago
4 0

Answer:

x=-7+6y

You simply need to add 30y and then divide by 5 to isolate the variable.

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The width of a box in the shape of a rectangular prism is 4 inches more than the height h . The length is the difference of 9 in
Doss [256]

Answer:

(a) V = -H^3+ 5H^2 + 36H

(b) Length = 5in; Width = 9in; Height = 5in or Length = 3in; Width = 10in; Height = 6in

Step-by-step explanation:

Let:

W=Width; L = Length; H = Height

Given

W = 4 + H

L = 9 - H

Solving (a): The polynomial for the volume in terms of height

Volume (V) is calculated using:

V = L * W * H

V = (9 - H) * (4 + H) * H

Expand

V = (9 - H) * (4H + H^2)

Open brackets

V = 36H + 9H^2 - 4H^2 - H^3

V = 36H + 5H^2 - H^3

Rewrite as:

V = -H^3+ 5H^2 + 36H

Solving (b): The dimensions when Volume = 180

Substitute 180 for V in: V = -H^3+ 5H^2 + 36H

180 = -H^3+ 5H^2 + 36H

Rewrite as:

H^3 - 5H^2 - 36H + 180 = 0

Factorize:

H^2(H - 5) - 36(H - 5) = 0

(H^2 - 36)(H - 5) = 0

Express H^2 - 36 as difference of two squares

(H - 6)(H + 6)(H - 5) =0

This gives:

H - 6 =0==> H = 6

H + 6 =0==> H = -6

H - 5 =0==> H = 5

Since the height can not be negative, then H = 5 or H = 6

Recall that:

W = 4 + H

L = 9 - H

When H = 5

W = 4 + 5 = 9

L = 9 - 5 = 4

When H = 6

W = 4 + 6 = 10

L = 9 - 6 = 3

Hence, the dimensions of the box are:

Length = 5in; Width = 9in; Height = 5in

or

Length = 3in; Width = 10in; Height = 6in

3 0
3 years ago
4/3b - 11 = 25<br><br> Help solve
olya-2409 [2.1K]

Answer:

B=27

Step-by-step explanation:

4/3b-11=25

4B-33=75

4B=75+33

4b=108

B=27

8 0
3 years ago
Which Pairs are additive inverses?<br> a. 6,-(-6)<br> b. -7,7<br> c.-7,-7<br> d.7,7<br> e.6,-6
xz_007 [3.2K]

I was never sure of what the "additive inverse" is. 
So, just now, just for you, I went and looked it up.

The additive inverse of any number ' A ' is the number
that you need to ADD to A to get zero.  That's all !

So now, let's check out the choices:

a), 6, -(-6)

That second number, -(-6), is the same as +6 .
So the two numbers are the same.
Do you get zero when you add them up ?  No.

b). -7, 7
What do you get when you add -7 and 7 ?
You get zero.
So these ARE additive inverses.

c). -7, -7
What do you get when you add -7 to -7 ?
You get -14 .  That's not zero, so these
are NOT additive inverses.

d).  7, 7
What do you get when you add 7 to 7 ?
You get 14.  That's NOT zero, so these
are NOT additive inverses.

e).  6, -6
What do you get when you add 6 to -6 ?
You get zero.
So these ARE additive inverses.

What do we end up with from the list of choices:

a).,  c).,  and d). are NOT additive inverses.

b). and e). ARE additive inverses.

7 0
3 years ago
Read 2 more answers
What is not always true about 2 regular pentagons
lorasvet [3.4K]

Answer:

b

Step-by-step explanation:

The two regular pentagons could be differnt sizes, so they are not all congruent hope this helps :)

6 0
3 years ago
Read 2 more answers
In the 2001-2002 season Susan bird the WNBA team the Seattle storm made 27% of her 3 point shots write this percent as a decimal
Ronch [10]

Answer: 0.27

Step-by-step explanation:

Move the decimal two places to the left

6 0
3 years ago
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