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PilotLPTM [1.2K]
3 years ago
9

Solve the for the variable. SHOW ALL WORK/EXPLAIN EVERY STEP!!!2(x-2)-5=3-2x+6​

Mathematics
2 answers:
tiny-mole [99]3 years ago
4 0

Answer:

x=9/2

Step-by-step explanation:

First distribute 2

2x-4-5=3-2x+6

Add the like terms on the left side -4-5=-9

2x-9=3-2x+6

Do this with the right side 3+6=9

2x-9=-2x+9

Add 9 from the left side to the right side

2x=-2x+18

Then add 2x from the right side to the left side

4x=18

Divide 4 from both sides

x=18/4 or 9/2

Colt1911 [192]3 years ago
4 0

Answer:

9/2

Step-by-step explanation:

2x-4-5= 3-2x+6  distribute 2 through the parentheses

2x-4-5=9-2x     add the numbers

2x-9=9-2x calculate the difference

2x+2x-9= 9  move variable to left side and change sign

2x+2x= 9+9 move constant to right side and change sign

4x= 18  collect like terms

x=9/2 divide both sides by 4

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Joshua walked 14 feet down the hall of his house to get the door he continued in a straight line out the door and across the yar
AleksandrR [38]

Answer:

Joshua walked 48 feet in total.

Step-by-step explanation:

To find the total distance we need to sum every distance that he walked. We have:

- First: Joshua walked down the hall to the door = 14 feet

- Second: He continued in a straight line out the door and across the yard to the mailbox = 24 feet

- Third: He came straight back across the yard and stopped to pet his dog = 10 feet

Hence, the total distance is:

d_{T} = d_{1} + d_{2} + d_{3} = 14 ft + 24 ft + 10 ft = 48 ft

Therefore, Joshua walked 48 feet in total.

I hope it helps you!

8 0
3 years ago
Joseph is building a cone using modeling clay. The cone has a radius of 6 cm and a height of 12 cm. Joseph adds additional clay,
dmitriy555 [2]
<span>Cone Volume = (<span>π<span> • r² •<span> h) ÷ 3

Original cone = (3.14 * 6^2 * 12) / 3
</span></span></span></span>
<span><span>Original cone = 452.16 </span> cc

</span>Larger cone =  <span>(3.14 * 6^2 * 18) / 3 = </span> <span> <span> <span> 678.24 </span> </span> </span> cc

Difference = <span>(678.24 -452.16) = </span> <span> <span> <span> 226.08 </span> </span> </span> cc


3 0
3 years ago
Read 2 more answers
Which of the following could Not be the side length of a right triangle?
ArbitrLikvidat [17]

Answer:

I think ITS B

Step-by-step explanation:

Hope this helped

-BB

8 0
3 years ago
Read 2 more answers
Urgent please help!!
wolverine [178]

Answer:

i think it would be B because if AC= 80 and thats like the distane between then abc would be 80 if im thinking right

Step-by-step explanation:

but  hey if im wrong ill have my friend punch me in the arm to make it even

4 0
2 years ago
there are nickels, dimes, and quarters in a piggy bank. altogether, the coins are worth $3.65. the number of dimes is three time
hoa [83]

This question is solved using a system of equations, and doing this, we get that: There are 9 quarters, 4 nickels and 12 dimes.

I am going to say that:

x is the number of nickels.

y is the number of dimes.

z is the number of quarters.

In all, they are worth $3.65.

A nickel is worth $0.05, a dime is worth $0.1 and a quarter is worth $0.25, so:

0.05x + 0.1y + 0.25z = 3.65

Dimes: 3 times greater than nickels:

This means that:

y = 3x

Quarters: One greater than double the number of nickels:

This means that:

z = 2x + 1

Value of x:

We have y and z as function of x, so we can replace into the equation and find the value of x, so:

0.05x + 0.1y + 0.25z = 3.65

0.05x + 0.1(3x) + 0.25(2x+1) = 3.65

0.05x + 0.3x + 0.5x + 0.25 = 3.65

0.85x = 3.4

x = \frac{3.4}{0.85}

x = 4

y and z:

y = 3x = 3(4) = 12

z = 2x + 1 = 2(4) + 1 = 9

There are 9 quarters, 4 nickels and 12 dimes.

A similar question is found at brainly.com/question/17096268

4 0
2 years ago
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