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3 years ago

9

Carly used 15 centimeters of tape to wrap 3 presents. How many presents did Carly wrap if she used 45 centimeters of tape? Assum

e the relationship is directly proportional.

1 answer:

Nataly_w [17]3 years ago

8 0

Answer: 9 Presents

Explanation: 15/3 = 45/x.
Cross Multiply: 15x= (45)(3)
Simplify: x= 9

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−2(2x+3)≤26<br><br>-<br><br>2<br><br>2<br><br>x<br><br>+<br><br>3<br><br>≤<br><br>26<br><br>?

SashulF [63]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

$- 2 ( 2 x + 3 ) \leq 26.$

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

$- 2 ( 2 x + 3 ) \leq 26$

Divide both sides by -2. We know that since 2 is negative, it'll be < (less than) 0. So, the direction of inequality will change.

$2x+3\geq \frac{26}{-2} \\$

Divide 26 by -2..we'll get the answer as -13.

$2x+3\geq -13$

Now, subtract 3 from both the sides.

$2x\geq -13-3$

Subtracting -13 by 3..we'll get the answer as -16.

$2x\geq -16$

Divide both sides by 2. We know that since 2 is positive, the direction of inequality will remain the same.

$x\geq \frac{-16}{2} \\$

Divide -16 by 2..we'll get the answer as -8.

$\huge \boxed{ \boxed{ \bf \: x\geq -8 }}$

The correct answer is ⇨ <u>x </u><u>greater </u><u>than </u><u>or </u><u>equal</u><u> to</u><u> </u><u>-</u><u>8</u><u>.</u>

3 0

2 years ago

The sum of three consecutive terms of an arithmetic sequence is 27, and the sum of their squares is 293. What is the absolute di

Ber [7]

The absolute difference between the greatest and the least of these three numbers in the arithmetic sequence is 10.

The sequence is an arithmetic sequence. Therefore,

d = common difference

let

a = centre term

Therefore, the 3 consecutive term will be as follows

a - d, a, a + d

a - d + a + a + d = 27

3a = 27

a = 27 / 3

a = 9

Therefore,

(a-d)² + (a)² + (a + d)² = 293

(a²-2ad+d²) + 9² + (a² + 2ad + d²) = 293

(81 - 18d + d²) + 81 + (81 + 18d + d²) = 293

243 + 2d² = 293

2d² = 50

d² = 50 / 2

d = √25

d = 5

common difference = 5

Therefore, the 3 numbers are as follows

9 - 5 , 9, 9 + 5 = 4, 9, 14

The difference between the greatest and the least of these 3 numbers are as follows:

14 - 4 = 10

learn more on Arithmetic progression: brainly.com/question/25749583?referrer=searchResults

7 0

3 years ago

Warm up<br> 1) Change 8/15 to a decimal.

Alecsey [184]

Answer:

5.333...

Step-by-step explanation:

You devide 8 by 15 and get the decimal form of this fraction.

It is 5.3 repeating

3 0

4 years ago

Read 2 more answers

5y + 2 + 6 + 2y 5y + 2(y + 3) + 2 combining like terms 6y − y + 2y + 10 − 4 + 2 Commutative Property Distributive Property arrow

Paraphin [41]

Answer:

Distributive Property

Step-by-step explanation:

5y + 2 + 6 + 2y

= 5y + 2(y + 3) + 2 This is the distributive property of multiplication w.r.t. addition

= 6y − y + 2y + 10 − 4 + 2

The distributive property of multiplication with respect to addition is the one which separates each term by using multiplication and then addition.

So we see that 2 is multiplied with y and 3 and then added with the like terms. If there was a minus sign the property would be distributive over subtraction.

4 0

3 years ago

Myra is playing a board game. After 12 turns, Myra has landed on a blue space 3 times.

maks197457 [2]

In 12 turns, she lands in a blue space 3 times.

12/3 =4

In 100 turns, it is expected that Myra would land on a blue space '100/4' times

100/4= 25

Which sums up to 25 turns

6 0

2 years ago