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grandymaker [24]
3 years ago
14

A rope is 50 meters long. It is cut into two pieces and one piece is 8 meters longer than the other. What are the two lengths?

Mathematics
1 answer:
Mashcka [7]3 years ago
6 0

Answer:

21 meters and 29 meters

Step-by-step explanation:

x + (x + 8) = 50

2x + 8 = 50

2xc = 42

x = 21

x + 8 = 29

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C240
djyliett [7]

Answer:

  $3800

Step-by-step explanation:

When simple interest is added to the principal amount, the sum increases linearly with time. Essentially, you are asked for the y-intercept of a line that goes through the points (2, 6200) and (3, 7400). You can use the 2-point form of the equation of a line to find it:

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (7400 -6200)/(3 -2)(x -2) +6200 . . . . fill in given points

  y = 1200(x -2) +6200 . . . . . . . . . simplify some

  y = 1200x -2400 +6200 . . . . . . simplify more

  y = 1200x +3800 . . . . . . . . . . . . . completely simplify

When the number of years (x) is zero, the amount is 3800. The principal is $3800.

_____

The account is earning $1200 per year on a principal of $3800. The interest rate is about 31.6%, an unusually high value.

_____

<em>Alternate solution</em>

You can recognize that the interest earned in one year is 7400 -6200 = 1200. Since this is simple interest, the amount of interest earned each year is the same, so in 3 years, the account has earned 3×$1200 = $3600 in interest. Then the original principal amount must be ...

  $7400 -3600 = $3800 . . . . . principal amount

5 0
4 years ago
What is always true about a line that slants downward from left to right
Advocard [28]

Answer:

12 x 12+144

Step-by-step explanation:

8 0
3 years ago
What is the equation of the line that passes through (1, 3) and (-2,-3)?
Fofino [41]
Y=2x+1 is the equation.
3 0
3 years ago
Read 2 more answers
Find the quotient -44a^3b^4 - 64a^4b3 - 84ab<br> ___________________<br> -4ab
Aliun [14]

When you divide a variable with an exponent by a variable with an exponent, you subtract the exponents (only if the bases/variables are the same)

For example:

\frac{x^2}{y^2}  Since they have different variables (x and y), you can't simplify this anymore

\frac{x^5}{x^3} = x^{5-3}=x^2

\frac{z^3x^7}{z^2yx^2} = (\frac{1}{y})(z^{3-2})(x^{7-2}) = (\frac{1}{y} )(z^1)(x^5) = \frac{zx^5}{y}

( if the exponent happens to come out negative, you have to move the variable and the exponent to the other side of the fraction to make the exponent positive)

Ex:

\frac{x^2}{x^4} =x^{2-4}=x^{-2} = \frac{1}{x^2}

\frac{-44a^3b^4-64a^4b^3-84ab}{-4ab} SInce they all have a common factor of 4, you can divide out -4

\frac{11a^3b^4+16a^4b^3+21ab}{ab}

If you follow the steps from ^^^^^^^, you should get

11a^2b^3+16a^3b^2+21

7 0
3 years ago
Why did he farmer’s daughter watch the lazy cows?
Sati [7]

Answer:

The farmers daughter watch the lazy cows because the farmers daughter liked to see the meat loaf.


4 0
3 years ago
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