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2 years ago

Solve the equation that represents: The difference of five times a number and 6 is -2.

Mathematics

1 answer:

aleksandrvk [35]2 years ago

7 0

Answer:

5n-6= -2

Step-by-step explanation:

The difference of...... this means its asking us to subtract one number from another number

5 times a number...... that means 5n

6..... since it said DIFFERENCE, it would be -6

is -2........ this means the answer to the equation is -2

So the equation is 5n-6= -2

Hope this helps!

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Triangle ABC is congruent to triangle XYZ. Angel A measures 50 degrees. Angle B measures (2x+40) and angle Y (4x+8). Find the va

ollegr [7]

Proportionally? Not sure. But here is a way to find out the value of x

50° + 2x+40 +4x+8 = 180°
Combine like terms
50°+ 6x + 48=180
(now subtract 50° from both sides)
6x + 48 = 130°
(now subtract 48 from both sides
6x=82°
x= 13.6666667° (repeating decimal)

4 0

3 years ago

Translate this verbal expression into an algebraic equation and solve: thirteen less than twice the sum of a number and six is 4

Vesna [10]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the verbal expression

''Thirteen less than twice the sum of a number and six is 47''.

Let us break down the verbal expression into an algebraic equation

Let the number be = n

Twice the number n = 2n

Sum of twice the number and six = 2n+6

Thirteen less than twice the sum of a number and six = 2n+6-13

And finally

Thirteen less than twice the sum of a number and six is 47:

2n+6-13 = 47

Therefore, the equation is: $2n+6-13 = 47$

Solving the algebraic expression

solving the equation for 'n'

$2n+6-13 = 47$

$2n-7=47$

Add 7 to both sides

$2n-7+7=47+7$

Simplify

$2n=54$

Divide both sides by 2

$\frac{2n}{2}=\frac{54}{2}$

Simplify

$n=27$

7 0

2 years ago

I had $80.45 in my bank account on Monday. I deposited $20.50 on Tuesday, Wednesday, and Thursday. I then withdrew $37.25 on Fri

brilliants [131]

Answer:

$104.70

Step-by-step explanation:

The equation would be set up like this: 80.45 + 20.50(3) - 37.25. You started off with $80.45 in your bank account and deposited, or added, $20.50 every day on Tuesday, Wednesday and Thursday. That would mean you added $20.50 three times. Adding $80.45 + $20.50 + $20.50 + $20.50, simplified to $80.45 + $20.50(3) would get you $141.95 in total. Then, on Friday, you withdraw $37.25, getting the equation $141.95 - $37.25, leaving $104.70 for the weekend.

8 0

3 years ago

Read 2 more answers

Anna has leaned a ladder against the side of her house. If the ladder forms a 72º angle with the ground and rests against the ho

LuckyWell [14K]

Answer:

(A) 2 meter

Step-by-step explanation:

It is given that the ladder forms a 72º angle with the ground and rests against the house at a spot that is 6 meters high.

Let the measure of bottom of the ladder from the wall be x, then using the trigonometry, we have

$\frac{CB}{AB}=tan72^{\circ}$