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balandron [24]
4 years ago
11

hannah says that 1/8 is not on the number line and cannot be plotted. write a note to hannah about her misunderstanding

Mathematics
1 answer:
ad-work [718]4 years ago
3 0

Answer and explanation :

Hannah said that \frac{1}{8} is not on the number line but she is wrong because \frac{1}{8} can be represented on the number line

When we convert the fraction \frac{1}{8} into decimal then it is equal to 0.125

And 0.125 lies between 0 and 1

If we divide one unit on number line into 10 parts then 0.125 lie between 0.1 and 0.2

And we know that any real number can be represented on number line as 0.125 is a real number so it can be represented on the number line

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Which graph corresponds with the equation <img src="https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B1%7D%7B2%20%7D%20%28x%2B1%29%5E
JulijaS [17]

\qquad\qquad\huge\underline{{\sf Answer}}

The given equation is a Quadratic equation, so it's graph must be a parabola, and the Coefficient of x² is positive that means the parabola must have an opening upward.

And 2 is added to the ideal equation, so the parabola must have shift 2 units up from x - axis.

From the above information, we can easily conclude that the Correct representation is done in graph 4

5 0
2 years ago
A business owner has just paid $6000 for a computer. It depreciates at a rate of 22% per year. How much will it be worth in 5 ye
katovenus [111]

Answer:

It will be worth $1732.30.

Step-by-step explanation:

After 1 year : 6000 x .78 = 4680

2 yr - 4680 x .78 = 3650.4

3 yr - 3650.4 x .78 = 2847.312

4 yr - 2847.312 x .78 = 2220.90336

5 yr - 2220.90336 x .78 = 1732.304621

1732.30

I think this is what it was asking

7 0
4 years ago
The area of a trapezium is 31.5 cm². If the parallel sides are of length 7.5 cm and 5.3 cm, calculate the perpendicular distance
spin [16.1K]

Answer:

<h3>The answer is 4.9cm</h3>

Step-by-step explanation:

To find the perpendicular distance between them that's the height we use the formula

Area \:  \: of \:  \: a \:  \: trapezium =  \frac{1}{2} (a + b) \times h

where

a and b are the parallel sides of the trapezium

h is the perpendicular distance

From the question

Area = 31.5cm²

a = 7.5 cm

b = 5.3 cm

Substituting the values into the above formula we have

31 .5 =  \frac{1}{2} (7.5 + 5.3) \times h

31.5 =  \frac{1}{2}  \times 12.8h

31.5 = 6.4h

Divide both sides by 6.4

h =  \frac{31.5}{6.4}

h = 4.921875

We have the final answer

<h3>h = 4.9cm</h3>

Hope this helps you

4 0
3 years ago
There are 400 mangoes in a barrel. Each mango weighs 1. 8 pounds. What is the total weight of the mangoes in the barrel?
Alika [10]

Answer:

720 pounds

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

Number of mangoes in a barrel = 400

Each mango weight = 1.8 pounds

So, we can calculate the total weight of mangoes by using following formula,

Total weight = Number of mangoes in a barrel × Each mango weight

By putting value, we get

Total weight = 400 × 1.8 pounds

= 720 pounds

7 0
3 years ago
Round 54.36 to the nearest tenth
Basile [38]

Answer:

Step-by-step explanation:

54.3

4 0
3 years ago
Read 2 more answers
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