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SCORPION-xisa [38]
3 years ago
5

What is one fourth of a number decreased by 10,is -50 ​

Mathematics
2 answers:
Andru [333]3 years ago
6 0

Answer:

x=-160

Step-by-step explanation:

One-fourth of a number decreased by 10 is -50. Find the number.

\frac{1}{4}x-10=-50

First, add 10 to both sides:

\frac{1}{4}x-10+10=-50+10\\\\\frac{1}{4}x=-40

Then, divide each side by \frac{1}{4}:

\frac{1}{4}x\div{\frac{1}{4}}=-40\div{\frac{1}{4}}\\\\x=-40\times{\frac{4}{1}}\\\\x=-160

Rashid [163]3 years ago
5 0

1/4x - 10 = -50

1/4x = one forth of a number

-10 is decreased by 10

= -50 means is -50

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It would take Delia 3 hours longer to re tile their bathroom by herself than it would for kari to retile on her own. If they wor
max2010maxim [7]

Answer:

6hours

Step-by-step explanation:

From the given information:

Suppose it took Karl x hours to retile her bathroom,

Then it will take Della 3 hours longer i.e (3+x) hours

If Della and Karl work together or will take them 2 hours

The objective is to determine how long it will take Delia to retile the bathroom alone?

∴

\dfrac{1}{x}+\dfrac{1}{3+x}= \dfrac{1}{2}

\dfrac{x+3+x}{x(3+x)}= \dfrac{1}{2}

\dfrac{2x+3}{3x+x^2}= \dfrac{1}{2}

By cross multiplying, we have:

2(2x+3) = 3x+x²

4x + 6 = 3x + x²

3x + x² - 4x - 6

x² - x - 6 = 0

Using quadratic equation

x² -3x +2x - 6 = 0

x(x - 3) + 2(x - 3) = 0

(x +2) (x - 3) = 0

x + 2 = 0 or x - 3 = 0

x = -2 or x = 3

Since we are concerned about the positive integer,

Then, Karl = x = 3 hours while Della which is (3+x) = 3+3 = 6hours

6 0
3 years ago
Rotate the given triangle 90°
kati45 [8]

9514 1404 393

Answer:

  \left[\begin{array}{ccc}0&-1&-2\\0&-3&5\end{array}\right]

Step-by-step explanation:

The rotation matrix for 90° CCW is ...

  \left[\begin{array}{cc}0&-1\\1&0\end{array}\right]

Then the rotated coordinates are ...

  \left[\begin{array}{ccc}0&-1\\1&0\end{array}\right]\cdot\left[\begin{array}{ccc}0&-3&5\\0&1&2\end{array}\right]=\left[\begin{array}{ccc}0&-1&-2\\0&-3&5\end{array}\right]

_____

The transformation of each ordered pair is ...

  (x, y) ⇒ (-y, x)

4 0
3 years ago
Read 2 more answers
Solve the equation:<br><br> a) -3 = 7+2t/3<br><br> b) 4(5x-2) = 7(2x+3) <br><br> c) 2x-6 = 30-2.5x
Umnica [9.8K]
Let's start by solving the first equation.

a) -3 = 7 + 2t/3 
To begin simplifying this equation, we should multiply both sides by 3 to get rid of the denominator on the right side of the equation.
-9 = 7 + 2t
Next, we should subtract 7 from both sides to cancel out the 7 on the right side.
-16 = 2t
Finally, we should divide both sides by 2.
t= -8


Now let's move on to the next equation.

b) 4(5x-2) = 7(2x+3)
Let's use the distributive property to get rid of the parentheses and their coefficients.
20x-8 = 14x + 21

Now, lets subtract 14x from both sides of the equation.

6x - 8 = 21

Next, let's add 8 to both sides of the equation.

6x = 29

And divide both sides by the coefficient of x, which is 6.

x = 29/6 or 4 5/6

Now for the last equation.

C) 2x - 6 = 20 - 2.5x
First, we should add 2.5x to both sides to cancel out the -2.5x on the right side of the equation.
4.5x - 6 = 20
Now, let's add 6 to both sides to get the variable term alone.
4.5x = 26
Finally, we should divide both sides by 4.5 to get x by itself.
x = 5 7/9

Hope this helps! :)
7 0
3 years ago
What is the value of the expression ??
Andreas93 [3]

Answer:

The value if this expression is 5,616 because it says it in the answer choice or box and the person did 12 times 13 and more

8 0
3 years ago
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f(2) is greater than g(2) and f(-2) is less than g(-2)

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