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Dovator [93]
3 years ago
8

Use the context of a 24-pack of soda to explain why 3/8 is NOT equivalent to 5/12 . Answer in number of cans.

Mathematics
1 answer:
juin [17]3 years ago
4 0

Answer:

In a 24 pack of soda, 1/8 would be 3 cans (24/8 = 3). 1/12 would be 2 cans (24/12=2).

So 3/8 is 9 cans of soda and 5/12 is 10 cans of soda, so they are not equivalent because the number of soda cans is not the same.

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Which inequality is equivalent to I x-4 I <9
Leni [432]

(B) –9 < x – 4 < 9 inequality is equivalent to Ix-4I <9.

<h3>What is inequality?</h3>
  • Inequality is a statement of an order relationship between two numbers or algebraic expressions (greater than, greater than, or equal to, less than, or less than or equal to).
  • Inequality is defined as a difference in size, amount, quality, social position, or another factor.
  • Inequality occurs when you have ten of something and someone else has none.
  • (mathematics) A statement stating that one quantity is less than (greater than) another.

So, Ix-4I <9:

  • |x-4|<9 ⇒ -9 < x-4 < 9
  • -5 < x < 13

Therefore, (B) –9 < x – 4 < 9 inequality is equivalent.

Know more about inequality here:

brainly.com/question/11613554


#SPJ9

The complete question is given below:

Which inequality is equivalent to I x-4 I <9?

A –9 > x – 4 < 9

B –9 < x – 4 < 9

C x – 4 < –9 or x – 4 < 9

D x – 4 > –9 or x – 4 < 9

4 0
2 years ago
The area of a rectangle is 252 cm², and the length is 3 less than 2 times the width. Find the dimensions of the rectangle.
SSSSS [86.1K]

Answer:

21cm, 12cm

Step-by-step explanation:

width=x cm

length=2x-3 cm

area= 252cm²

l*b= 252 cm²

(2x-3)(x)=252

2x²-3x= 252

this is how I did it

we need to find the nearest square of the number (it should be lesser than the area)

that is 225, whose square root is 15.

since there is a coefficient to the x², the value of x would be calculate like this 15- (2+1)= 15-3 = 12

x= 12

we can verify it too,

2*(12)² - 3*12=252

288-36=252

252=252

therefore width is 12 cm and width is 2*12-3= 24-3= 21 cm

verify;

21*12= 252

252=252

hence the dimensions are 12 am (width) and 21 cm(length).

3 0
3 years ago
Next month, Noelle will earn a 15% increase in her hourly wage. If she currently earns $12 an hour, what will her new hourly wag
Bad White [126]

Answer:

<em>Her new hourly wage will be $13.80 after the raise</em>

Step-by-step explanation:

<u>Percentages</u>

Noelle currently earns $12 per hour.

Her hourly wage will increase by 15% by next month.

The increase will be of:

15% of $12 = 15*12/100 = $1.80

Thus, her new hourly wage will be

$12 + $1.80 = $13.80

Her new hourly wage will be $13.80 after the raise

4 0
3 years ago
Can anyone help with this problem
Alexus [3.1K]
I hope this helps you

3 0
3 years ago
Please help me with this problem
Ede4ka [16]

Answer:

vitamin c is the independent variable

Step-by-step explanation:

the amount of vitaman c dose not change but the amount of oranges eaten can change

6 0
3 years ago
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