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Mariulka [41]
3 years ago
7

Find the minimum and maximum possible areas of a rectangle measuring 2 km by 5 km.Find the minimum and maximum possible areas of

a rectangle measuring 2 km by 5 km
Mathematics
1 answer:
jeka57 [31]3 years ago
7 0

<u>Answer:</u>

Minimum possible area = 6.75 km^2

Maximum possible area = 13.75 km^2

<u>Step-by-step explanation:</u>

This question relates to significant figures so assuming that each of the given values is rounded off to the nearest kilometer.

So we can find the minimum and maximum possible areas of the rectangle.

Minimum possible area of rectangle = 1.5 × 4.5 = 6.75 square kilometers

Maximum possible area of rectangle = 2.5 × 5.5 = 13.75 square kilometers

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A school bought pens, each costing $1, and pencils, each costing $0.5. The cost of the whole purchase was $220. How many pens an
Mkey [24]

Answer:

  • <u>120 pens and 200 pencils.</u>

<u></u>

Explanation:

You can set a system of two equations.

<u>1. Variables</u>

<u />

  • x: number of pens
  • y: number of pencils

<u>2. Cost</u>

  • <em>each pen costs</em> $1, then x pens costs: x
  • <em>each pencil costs</em> $0.5, then y pencil costs: 0.5y

  • Then, the total cost is: x + 0.5y

  • The cost of the whole purchase was $ 220, then the first equation is:

          x + 0.5y = 220 ↔ equation (1)

<u>3. </u><em><u>There were 80 more pencils than pens</u></em>

Then:

  pencils  =      80   +   pens

       ↓                               ↓

       y        =      80   +      x        ↔ equation (2)

<u>4. Solve the system</u>

i) Substitute the equation (2) into the equation (1):

  • x + 0.5(80 + x) = 220

ii) Solve

  • x + 40 + 0.5x = 220
  • 1.5x = 180
  • x = 180/1.5
  • x = 120 pens

iii) Substitute x = 120 into the equation (2)

  • y = 80 + 120
  • y = 200 pencils

Solution: 120 pens and 200 pencils ← answer

6 0
2 years ago
1 <br> 2<br> 3<br> 66<br> 84<br> 3<br> 43<br> I need help
Alex787 [66]

Answer:

m<1 = 30 degrees

m<2= 41 degrees

m<3= 96 degrees

Step-by-step explanation:

Hope this helps :)

Pls give brainliest, I really need it

- massmaster34

6 0
3 years ago
Please help I don’t understand
KIM [24]

Answer:

The equivalent ratios are:

16:10

8:5

48:30

Step-by-step explanation:

It is given that the ratios are equivalent ratios. So all the ratios will simplify to the same ratio. We can use this to find the ratios.

given ratio is:

16:10

which simplifies to

8:5

We can observe that the second ratio will be same 8:5

Now,

\frac{8}{5} = \frac{x}{30}\\x = \frac{8}{5} * 30\\x = 48

Hence,

The equivalent ratios are:

16:10

8:5

48:30

8 0
2 years ago
3 + 2x = y Given x = 4 y =
wel

Answer:

y = 11

Step-by-step explanation:

Plug 4 in for x.

3 + 2(4) = y

Multiply.

3 + 8 = y

Simplify.

11 = y

7 0
2 years ago
Read 2 more answers
Describe the relationship between n and 4 that will make the value of the expression 7xn4greater than7
valina [46]

Answer:

As per the statement: the value of the expression 7 x n/4 greater than 7.

To describe the relationship between n and 4.

"greater than" symbol is represented by '>'

The value of expression 7 \times \frac{n}{4} grater than 7 is;

7(\frac{n}{4}) > 7

Divide by 7 both sides we get;

\frac{n}{4} > 1

Multiply both sides of an equation by 4 we get;

n > 4

Therefore, the relationship between n and 4 is, n > 4



8 0
3 years ago
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