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Masja [62]
4 years ago
8

Which statement is the correct interpretation of the inequality −3 > −4? On a number line, −3 is located to the right of −4.

On a number line, −3 is located to the left of −4. On a number line, −3 is located to the left of 0 and −4 is located to the right of 0. On a number line, −3 is located to the right of 0 and −4 is located to the left of 0.
Mathematics
2 answers:
inn [45]4 years ago
7 0
Most number lines have left be negative and right be positive. Hence, -3, which is more positive than -4, would be to the right of -4.
nikdorinn [45]4 years ago
6 0
<h2>Answer:</h2>

The statement which is the correct interpretation of the inequality −3 > −4 is:

  • On a number line, −3 is located to the right of −4.                              
<h2>Step-by-step explanation:</h2>

We know that on the number line , the number which are to the right of 0 are positive numbers and to the left of 0 are the negative numbers.

For any number a,

The number located to the right of a is greater than a and which is located  to the left of a is smaller than a.

We know that -3 is located to the right of -4.

  and hence we have: -3>-4

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9. One number is 7 more than twice another number. The sum of the numbers is 22. What is one of the numbers?
andreyandreev [35.5K]

Step-by-step explanation:

Hey there!

According to the question,

Let the unknown number be x (smaller) another number be y (greater) respectively.

1st condition: One number is 7 more than twice of another number.

(i.e y = 2x+7)....... (i)

2nd condition: The sum is 22.

(i.e X+y= 22)……(ii)

From equation (ii).

x+ y= 22

x= 22-y

Putting the value of X in eqaution (I)

y = 2(22-y)+ 7

y = 44 - 2y +7

3y = 44+7

y = 51/3

Therefore, y= 17.

Now, Putting the value of y in eqaution (ii)

X = 22-y

x = 22-17

Therefore, x= 5.

Therefore, one number is 17. (Option D).

<em><u>Hope </u></em><em><u>it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

5 0
4 years ago
Read 2 more answers
How do you find the value of t in -t/7=1/15
kolezko [41]
First, multiply the 7 on both sides.
\frac{-t}{7} =  \frac{1}{15}
-t =  \frac{7}{15}
Finally divide by -1 on both sides to get t = -7/15 as your answer.
3 0
4 years ago
Your brother wants some CD's for his birthday. You decide to order them
Svet_ta [14]

Answer:

the answer is 30 dollars

Step-by-step explanation:

3x8 is 24 and 24 plus 6 is 30.

7 0
3 years ago
Factor completely X⁴-10x²+9. Please show all work.​
Tanya [424]

Answer:

Let y=x² . Then:

x4−10x2+9=y2−10y+9

y²-10y+9=(y-9)(y-1)

Substitute x² for y:

x4−10x2+9=(x2−9)(x2−1)

x²-9=(x+3)(x-3)

x²-1=(x+1)(x-1)

x4−10x2+9=(x+3)(x−3)(x+1)(x−1)

3 0
4 years ago
There are 527 pencils,646 erasers and 748 sharpeners. These are to be put in separate packets containing the same number of item
sp2606 [1]

Answer:

  • 31 pencils
  • 38 erasers
  • 44 sharpeners

Step-by-step explanation:

The number of packets is the greatest common divisor of the given numbers of pencils, erasers, and sharpeners.

It can be helpful to look at the differences between these numbers:

  748 -646 = 102

  646 -527 = 119

The difference of these differences is 17, suggesting that will be the number of packets possible.

  527 = 17 × 31

  646 = 17 × 38

  748 = 17 × 44

The numbers 31, 38, and 44 are relatively prime (31 is actually prime), so there can be no greater number of packets than 17.

There will be 31 pencils, 38 erasers, and 44 sharpeners in each of the 17 packets.

_____

We may have worked the wrong problem. The way it is worded, the <em>maximum</em> number of items in each packet will be 527 pencils, 646 erasers, and 748 sharpeners in one (1) packet. The <em>minimum</em> number of items in each packet will be the number that corresponds to the maximum number of packets. Since 17 is the maximum number of packets, each packet's contents are as described above.

17 is the only common factor of the given numbers, so will be the number of groups (plural) into which the items can be arranged.

6 0
3 years ago
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