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Leona [35]
2 years ago
3

Ben drove 230 kilometers in 3 hours, and Pia drove 250 kilometers in 3 hours. Without making any calculations, who drove faster?

Explain how you know.
Mathematics
2 answers:
dsp732 years ago
8 0

Step-by-step explanation:

Without making any calculations you can still tell that pia drove faster because 250 is a greater number than 230

250 > 230

lianna [129]2 years ago
3 0

Answer:Sample Response: Pia drove faster than Ben, because they drove for the same amount of time, but Pia traveled farther. Pia drove 20 more kilometers than Ben, but she and Ben drove for the same amount of time.

Pia drove faster than Ben.

Pia drove more kilometers than Ben, so Pia drove faster.

250 ÷ 3 is greater than 230 ÷ 3.

                                                  hope it helps

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The square of a number decreased by 3 times the number 28 find all possible values for the number
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Question:

The square of a number decreased by 3 times the number is 28 find all possible values for the number  

Answer:

The possible values of number are 7 and -4

Solution:

Given that the square of a number decreased by 3 times the number is 28

To find: all possible values of number

Let "a" be the unknown number

From given information,

square of a number decreased by 3 times the number = 28

a^2 - 3a = 28

a^2 - 3a - 28 = 0

Let us solve the above quadratic equation

\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Using the above formula,

\text { For } a^{2}-3 a-28=0 \text { we have } a=1, b=-3, c=-28

\begin{aligned}&a=\frac{-(-3) \pm \sqrt{(-3)^{2}-4(1)(-28)}}{2 \times 1}\\\\&a=\frac{3 \pm \sqrt{9+112}}{2}\\\\&a=\frac{3 \pm \sqrt{121}}{2}=\frac{3 \pm 11}{2}\\\\&a=\frac{3+11}{2} \text { or } a=\frac{3-11}{2}\\\\&a=7 \text { or } a=-4\end{aligned}

Thus the possible values of number are 7 and -4

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