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MArishka [77]
3 years ago
5

3x + 2 = -13. Plz help

Mathematics
2 answers:
Kay [80]3 years ago
8 0
X = -5 I think hope it helps
mote1985 [20]3 years ago
3 0
The answer is -5 hope this helps

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The height of a triangle is 8 centimeters greater than half its base. The area of the triangle is 48 square centimeters what is
emmainna [20.7K]

Answer:

base = 8 cm

height = 12 cm

Step-by-step explanation:

We will need the formula for area of a trianlge, which is

A = (1/2)bh    where b is the base, and h is the height

We are given two formulas...

"The height of a triangle is 8 centimeters greater than half its base" becomes

  h = (1/2)b + 8

"The area of the triangle is 48 square centimeters" becomes

48 = (1/2)bh

Plug the first formula into the second to solve for h

48 = (1/2)b[(1/2) + 8]             (h becomes (1/2)b + 8)

Now solve for b

48 = (1/4)b² + 4b

**This is a quadratic euquation.  Solve using factoring...

(1/4)b² + 4b - 48 = 0       (subtract 48 from both sides)

b² + 16b - 192  =  0       (multiply by 4 so b² is by itself, it's easier to factor this way)

Now factor...

(b + 24)(b - 8) = 0       (you need two numbers that add to 16 and multiply to -192)

Set each binomial equal to zero and solve for b

b + 24 = 0          

    b = -24    

**this anwser is not valid because b is a length, and you can't have negative length

b - 8 = 0

  b = 8        

Since the other solution is invalid, the base is b

If the base is b, then the height is...

h = (1/2)b + 8

 

   h = (1/2)(8) + 8

     h = 4 + 8

 

         h = 12

8 0
3 years ago
3. Baskin Robbins has a new 3-gallon container of
Lynna [10]
2 gallons were left at the end of the day
3 0
3 years ago
Gerardo has just invested in a bond worth $470 that is expected to increase in value by 6% per year. Write the equation used to
Viefleur [7K]

Answer:

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $470

r = 6% = 6/100 = 0.06

n = 1 because it was compounded once in a year.

Therefore, the equation used to determine the value of his bond after t years is

A = 470(1 + 0.06/1)^1 × t

A = 470(1.06)^t

3 0
3 years ago
6 1/42 + 4 5/6= simplest form + show work.
marissa [1.9K]

Answer:

1. 10 6/7      2. 8/15

Step-by-step explanation:

1. 6 1/42 + 4 5/6

  • First, let's combine the whole numbers.  6 + 4 = 10
  • Now we are left with 1/42 + 5/6.
  • To add or subtract, the dominators need to be the same. We need to find the least common multiple which here is 42.

1/42 + 5/6(7)

1/42 + 35/42

= 36/42

= 6/7

  • All we have to do is combine both numbers.

10 6/7

2. 13/15 - 1/3(5)

13/15 - 5/15

8/15

6 0
3 years ago
Answer 15 points <br> ( don’t answer if you don’t the answer )
BabaBlast [244]

Answer:

V=1/3hπr². Basically, 1/3 x height x 3.14 (pi) x radius squared.

Step-by-step explanation:

The formula of figure 2 would be 1/3 x 15 x 3.14 x 8 squared.  The volume of figure 2 would be 1005.30965

the formula for figure 3 would be 1/3 x 15 x 3.14 x 4 squared. The volume of it would be 251.32741

hope this helps! (Also please make me brainliest if this helps u :) )

8 0
2 years ago
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