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Molodets [167]
2 years ago
10

Julissa has 15 stamps and Ethan has 14 stamps. Pawel has three times the number of stamps as Julissa and Ethan combined. Julissa

thinks that 100 is a reasonable estimate for the number of stamps that Pawel has. What is an estimate of the number of stamps that Pawel has? Is 100 a reasonable total
32; 100 is a reasonable total
90; 100 is a reasonale estimate
213; 100 is not a reasonale estimate
630; 100 is not a reasonable estimate
Mathematics
2 answers:
stich3 [128]2 years ago
8 0
Yes it is because if you round 14 to 15, and add 15 and 15 you get 30. Then do 30 times 3 to get 90. Round this to the nearest hundred and you get 100. 
Maurinko [17]2 years ago
8 0

Answer:

90; 100 is a reasonable estimate

Step-by-step explanation:

Given,

The number of Stamps Julissa has = 15,

Also, the number of stamps Ethan has = 14

So, the total number of stamps both Julissa and Ethan have = 15 + 14

= 29

According to the question,

The number of stamps that Pawel has = 3 × the combined number of stamps both Julissa and Ethan have

= 3 × 29

= 87

≈ 90 ( nearest tens )

Also, the nearest hundred of 87 is 100,

Hence, 100  is a reasonable estimation,

SECOND option is correct.

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The length of a rectangle is 5 inches more than its width, x. The area of a rectangle can be represented by the equation x 2 + 5
Arada [10]

Answer:

Width = 15 inches             Length = 20 inches

Step-by-step explanation:

The area of a rectangle is calculated using the following formula.

A = Lx   (1)

Where L is the length and x is the width of the rectangle

In this case we know that the length of the rectangle is 5 inches greater than its width. This means that:

L = x + 5   (2)

Also The area of a rectangle can be represented by the equation x^2 + 5x = 300

so to find the width x we solve the equation

x^2 + 5x -300=0   (3)

For an equation of the form ax ^ 2 + bx + c = 0 the quadratic formula is:

x=\frac{-b\±\sqrt{b^2-4ac}}{2a}

In this case note that:

a=1\\b=5\\c=-300

Then:

x=\frac{-5\±\sqrt{(5)^2-4(1)(-300)}}{2(1)}

x=\frac{-5\±\sqrt{25+1200}}{2}

x=\frac{-5\±\sqrt{1225}}{2}

x=\frac{-5\±35}{2}

x_1=\frac{-5+35}{2}  →  x_1=15

x_2=\frac{-5-35}{2}  →   x_2=-20

We take the positive solution x=15\ in

Now we use equation (2) to find L

L = x + 5

L = 15 + 5

L = 20\ in

8 0
3 years ago
Express 25 as a percentage of 75. *
GalinKa [24]

。☆✼★ ━━━━━━━━━━━━━━  ☾  

25 is 1/3 of 75

You can calculate it this way:

(25/75) x 100 = 33.3333

Thus, your answer would be option D

Have A Nice Day ❤    

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