For which situation is using approximate numbers the MOST acceptable?

Mathematics

1 answer:

snow_tiger [21]3 years ago

8 0

Answer:

D - Jane is trying to determine the distance to school

Step-by-step explanation:

Option D is the most acceptable time to use approximate numbers and estimate how far it is to school. All of the other options, exact numbers are needed.

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Amelia, Luis, Shauna, and Clarence used different approaches to solve the inequality 7.2b + 6.5 > 4.8b – 8.1. Which student's

Aleks [24]

Answer: Luis’s, because he flipped the inequality sign when he subtracted

Step-by-step explanation:

Here is the complete question:

Amelia, Luis, Shauna, and Clarence used different approaches to solve the inequality

7.2b + 6.5 > 4.8b – 8.1.

Amelia started by subtracting 7.2b from both sides to get 6.5 > –2.4b – 8.1.

Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1.

Shauna started by subtracting 6.5 from both sides to get 7.2b > 4.8b – 14.6.

Clarence started by adding 8.1 to both sides to get 7.2b + 14.6 > 4.8b.

Which student’s first step was incorrect, and why?

a. Amelia’s, because the variable term must be isolated on the left side

b. Luis’s, because he flipped the inequality sign when he subtracted

c. Shauna’s, because she did not apply the subtraction property of equality properly.

d. Clarence’s, because the terms he added together were not like terms.

The inequality given is:

7.2b + 6.5 > 4.8b – 8.1.

We are informed that Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1.

If Luis started by subtracting 4.8b from both sides, he should get:

7.2b + 6.5 > 4.8b – 8.1.

7.2b + 6.5 - 4.8b > 4.8b – 8.1 - 4.8b

2.4b + 6.5 > - 8.1

But looking critically, we would realise that what Luis got us different as the inequality sign has been changed from greater than to less than and this is incorrect.

The inequality sign can only be flipped in case whereby there's a division or multiplication of a negative number from both sides.

Therefore, Luis’s first step was incorrect because he flipped the inequality sign when he subtracted.

7 0

3 years ago

Sam is driving home from college. He is 220 miles away from home. If he can make it home in 4 hours, at what speed or velocity i

yan [13]

Answer: 55 miles per hour

Explanation: that hint is really useful
So if distance = velocity x time
That means 220 = v x 4 hours
To find v, divided 220 by 4
220 divided by 4 = 55
But I have a question:
Is he driving at a constant speed?
and is this 6th grade math? I’m in that grade but you can trust my answer
If im wrong, someone pls correct me
If im right, mark me brainliest pls, im broke, i have no points-
Goodluck!

3 0

3 years ago

PLEASE HELP IF YOU CAN!

Masteriza [31]

$\bf \begin{array}{ccllll}
term&value\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
a_1&9.5\\
a_2&11.5\\
a_3&13.5\\
a_4&15.5\\
...&...
\end{array}\\\\
-----------------------------\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term}\\
d=\textit{common difference}
\end{cases}$

notice, the first term is 9.5
from there it goes to 11.5, well, how much is it being added to get 11.5?
well 9.5 + 2, is 11.5, so it was added 2 to 9.5

then it goes from 11.5 to 13.5, namely, 11.5+2 = 13.5
and then 13.5+2 = 15.5 and so on

so, the "common difference" or the common addition value, is 2
how do you find the nth term?

well $\bf a_n=9.5+(n-1)2\iff a_n=9.5+2(n-1)$