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charle [14.2K]
3 years ago
7

The students in math class use square tiles to make arrays. Celia says they can make more arrays with 8 tiles than with 9 tiles

because 8 has more factors. Is Celia correct?
Mathematics
2 answers:
Marizza181 [45]3 years ago
6 0
Yes
8=1,2,4,8,
9=1,3,9
Cerrena [4.2K]3 years ago
5 0

The students in math class use square tiles to make arrays. If they

  • use 8 (8=1·2·2·2) tiles, then they can form arrays of the length in 1 tile, 2 tiles, 4 tiles and 8 tiles;
  • use 9 (9=1·3·3) tiles, they can form arrays of the length in 1 tile, 3 tiles and 9 tiles (one array less).

So, you can conclude that Celia is correct.

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A boy stands 1 meter away from a lamppost. He is 1.8 meters tall and casts a shadow 2 meters long in the light from the lamp. Ho
Charra [1.4K]

A boy stands 1 meter away from a lamppost. He is 1.8 meters tall and casts a shadow 2 meters long in the light from the lamp

The diagram is attached below using the given information

We have two similar triangle

Triangle ACD is similar to triangle ABE. So the sides are in proportional

\frac{DC}{EB} =\frac{AC}{AB}

AC = AB + BC = 3m

\frac{x}{1.8}=\frac{3}{2}

2x = 1.8 * 3 (cross multiply)

2x = 5.4

Divide by 2 on both sides

x = 2.7

Height of Lamppost is 2.7 meter



3 0
3 years ago
Read 2 more answers
Fourteen percent of the town’s population are above the age of 65. If there are about
Gennadij [26K]

Answer:

So if 14% are over 65, and 320 residents are over 65, then we can say that 14% of the town is 320. Then, we can divide by 14 to find 1%, which is 22.857142857 Now we can multiply this by 100 to get 2285.7142857.

Step-by-step explanation:

6 0
3 years ago
Solve for x:x-7=-20<br>1)13<br>2)27<br>3)-13<br>4)-3​
Marianna [84]

3.)-13

x-7= -20

x = -20+7

x= -13

4 0
3 years ago
Read 2 more answers
Ishaan is 222 times as old as Christopher. 353535 years ago, Ishaan was 777 times as old as Christopher.
klemol [59]
<h3><u>Question:</u></h3>

Ishaan is 2 times as old as Christopher. 35 years ago, Ishaan was 7 times as old as Christopher. How old is Christoper now?

<h3><u>Answer:</u></h3>

The present age of Christoper is 42 years old

<h3><u>Solution:</u></h3>

Given that Ishaan is 2 times as old as Christoper

Let the present age of Christoper be "x"

Then, Present age of Ishaan = 2 times as old as Christoper

present age of Ishaan = 2x

<em><u>35 years ago, Ishaan was 7 times as old as Christopher</u></em>

Age of Ishaan 35 years ago = Present age of Ishaan - 35

Age of Ishaan 35 years ago = 2x - 35

Similarly,

Age of christoper 35 years ago = Present age of christoper - 35

Age of christoper 35 years ago = x - 35

From given statement, 35 years ago, Ishaan was 7 times as old as Christopher

Age of Ishaan 35 years ago = 7 times the age of Christoper 35 years ago

(2x - 35) = 7(x - 35)

<em><u>Solve the above equation for "x"</u></em>

2x - 35 = 7x - 245

2x - 7x = -245 + 35

-5x = -210

<h3>x = 42</h3>

Thus present age of Christoper is 42 years old

5 0
3 years ago
A and b are positive integers and a–b = 3. Evaluate the following: 27^ (1/3 b)/9^ (1/2 a)
maxonik [38]

Answer:

1/27

Step-by-step explanation:

27^(b/3)/9^(a/2) = (27^(1/3))^b/(9^(1/2))^a = (3^b)/(3^a) = 3^(b-a)

= 3^(-(a-b)) = 3^-3 = 1/3^3 = 1/27

5 0
3 years ago
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