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3 years ago

Estimate the percentage of 53% of 59

Mathematics

2 answers:

Sedaia [141]3 years ago

8 0

53% of 59 is 31.27 or 31.3

Semmy [17]3 years ago

7 0

It would be around 50

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Mr. Darcy could knit 4 ugly sweaters in 100 minutes. How long will it take him to knit 6 ugly holiday sweaters

Nostrana [21]

If you divide 100 by 4 which equals 25 that would be 25mins for one ugly sweater
If you times by 2 that equals 50
If 6=4+2 then you add 100 and 50 together which makes 150.

3 0

3 years ago

Read 2 more answers

What are two equivalent ratios for 8/9

Georgia [21]

(16/18)
(24/27)

You just times 8 and 9 by the same number, like:
(8•2/9•2)=(16/18)
(8•3/9•3)=(24/27)

You could do any number:
(8•100/9•100)=(800/900)

8 0

4 years ago

Find f such that the given conditions are satisfiedf’(x)=x-4, f(2)=-1

kicyunya [14]

Given:

$f^{\prime}\left(x\right)=x-4,\text{ and}f\left(2\right)=-1$

To find:

The correct function.

Explanation:

Let us consider the function given in option D.

$f(x)=\frac{x^2}{2}-4x+5$

Differentiating with respect to x we get,

$\begin{gathered} f^{\prime}(x)=\frac{2x}{2}-4 \\ f^{\prime}(x)=x-4 \end{gathered}$

Substituting x = 2 in the function f(x), we get

$\begin{gathered} f(2)=\frac{2^2}{2}-4(2)+5 \\ =2-8+5 \\ =-6+5 \\ f(2)=-1 \end{gathered}$

Therefore, the given conditions are satisfied.

So, the function is,

$f(x)=\frac{x^{2}}{2}-4x+5$

Final answer: Option D

6 0

2 years ago

Anyone can help me solve this equation using cross multiplying

Natali5045456 [20]

9514 1404 393

Answer:

x = 1 or 5

Step-by-step explanation:

The notion of "cross-multiplying" is the idea that the numerator on the left is multiplied by the denominator on the right, and the numerator on the right is multiplied by the denominator on the left. This looks like ...

$\displaystyle \frac{x-1}{7}=\frac{2x-2}{3x-1}\ \longrightarrow\ (x-1)(3x-1)=(7)(2x-2)$

Then the solution proceeds by eliminating parentheses, and solving the resulting quadratic equation.

$3x^2-4x+1=14x-14\\\\3x^2-18x+15=0\qquad\text{subtract $14x-14$}\\\\x^2-6x+5=0 \qquad\text{divide by 3}\\\\(x-1)(x-5)=0\qquad\text{factor}\\\\x\in\{1,5\}$

_____

Comment on "cross multiply"

Like a lot of instructions in Algebra courses, the idea of "cross multiply" describes what the result looks like. It doesn't adequately describe how you get there. The one and only rule in solving Algebra problems is "whatever is done to one side of the equation must also be done to the other side of the equation." If you multiply one side by one thing and the other side by a different thing, you are violating this rule.

What looks like "cross multiply" is really "multiply by the product of the denominators and cancel like terms from numerator and denominator." Here's what that looks like with the intermediate steps added.

$\displaystyle \frac{x-1}{7}=\frac{2x-2}{3x-1}\\\\\frac{x-1}{7}\times7(3x-1)=\frac{2x-2}{3x-1}\times7(3x-1)\\\\(x-1)(3x-1)=(2x-2)(7)\qquad\textit{looks like}\text{ cross multiply}$

8 0

3 years ago

Can someone answer this question and give an explanation

Temka [501]

Answer:

48cm^2

Step-by-step explanation:

First, you can break down this shape into two different, easier to work with shapes, with dimensions of 4*9 and 6*2. You can get this by cutting the bigger rectangle into the 4*9, and then using the 6*2 left over.

After that, all you need to do it multiply and then add.

4*9 is 36, and 6*2 is 12.

36+12=48

Hope this helped!

7 0

2 years ago

Read 2 more answers