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3 years ago

Two thirds the sum of 30 and a number is 26 write this statement out as an equation and solve

Mathematics

1 answer:

zloy xaker [14]3 years ago

7 0

Answer:s

Step-by-step explanation:

Let the number be x

2/3(30+x) = 26

2(30+x) = 26(3)

60 + 2x = 78

2x = 78 - 60

2x = 18

x = 18/2

x = 9

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A family went to a restaurant for dinner. The bill before tax and tip was $52.78. The sales tax is

Sergeeva-Olga [200]

Answer:

Step-by-step explanation:

52.78×6.5%=3.43

52.78×18%=9.50

52.78+3.43+9.50=65.71

4 0

3 years ago

Solve -5/3x + 7/3 = -5

Pavlova-9 [17]

Answer:

x = 24/15 = 8/3 = 2 2/3

Step-by-step explanation:

remember what you do to the left you must do to the right.

I converted the -5 to -15/3 so I could easily add or subtract

-5/3 x = -8/3

multiply both sides by -3/5 to cancel the coefficient of the x

x = -8/3 * -3/5 = 24/15

3 0

3 years ago

Peyton has collected 120 aluminum cans for recycling. If 20 cans will fit in each blue plastic bag, how many bags will she need

gogolik [260]

Hi Renee!

--------------------------------------------

We Know:

120 aluminum cans.

20 cans fit in each blue bag.

--------------------------------------------

Solution:

120 / 20 = 6

--------------------------------------------

Answer:

She will need 6 bags to carry all the aluminum cans.

--------------------------------------------

Hope This Helps :)

6 0

3 years ago

What 2 numbers add to get 2 and multiply to 4

rusak2 [61]

Factor 4
4=1 times 4
2 times 2
they don't add to 2
set up equation
x+y=2
xy=4

first equation, subtract x from both sides
y=2-x
subsitute for y
x(2-x)=4
distribute
2x-x^2=4
add x^2
2x=x^2+4
subtract 2x
0=x^2-2x+4
use quadratic formula which is
if you have ax^2+bx+c=0 then
x= $\frac{ -b+/-\sqrt{b^{2}-4ac} }{2a}$ so

1x^2-2x+4=0
a=1
b=-2
c=4
x= $\frac{ -(-2)+/-\sqrt{(-2)^{2}-4(1)(4)} }{2(1)}$
x= $\frac{ 2+/-\sqrt{4-16} }{2}$
x= $\frac{ 2+/-\sqrt{-12} }{2}$
we have $\sqrt{-12}$ and that doesn't give a real solution
therefor there are no real solutions
but if you want to solve fully
x= $\frac{ 2+/-2\sqrt{-3} }{2}$
i= $\sqrt{-1}$
x= $\frac{ 2+/-2i\sqrt{3} }{2}$
x= $1+/-i\sqrt{3}$
x= $1-i\sqrt{3}$ or x= $1+i\sqrt{3}$ (those are the 2 numbers)

6 0

4 years ago

Solve for X. For a geometry

kramer

4x-30=180 your missing the 180 part because it’s a straight line. so do 4x-30=180. subtract 30 from 180, then when you get that answer divide it by four

4 0

3 years ago