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Paladinen [302]
3 years ago
6

Can somebody please help my with this question​

Mathematics
1 answer:
ki77a [65]3 years ago
8 0

Answer:

All the possible values of a-b lies in the interval 3.

Step-by-step explanation:

As the range of a is

3

As the range of b is

4

As a contains the set of number between 3 to 4, and b contains the values of from 4 to 5.

a-b can be obtained by subtracting the values of b from a.

So,

a-b

⇒ (3

⇒ 3

Therefore, all the possible values of a-b lies in the interval 3.

Keywords: number, value, interval

Learn more about number interval from brainly.com/question/13048073

#learnwithBrainly

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Alejandro was asked to solve a system of linear equations by using the substitution method. What is the error in his work below?
JulsSmile [24]
Step 1:
4y + x = 15
−9x + 5y = 20

Step 2: correct
4y + x = 15
x = 15 − 4y

Step 3: wrong
4y + x = 15
4y + (15 − 4y) = 15 wrong step
4y + 15 − 4y = 15
15 = 15
***once you have solved for a variable in one equation, you substitute it in the other equation

Corrected Step 3:
−9x + 5y = 20
-9(15 - 4y) + 5y= 20
(-9*15) + (-9*-4y) + 5y= 20
-135 + 36y + 5y= 20
-135 + 41y= 20
add 135 to both sides
41y= 155
divide both sides by 41
y= 155/41 or 3 32/41 or 3.78


ANSWER: The x value in step 2 should have been substituted in the opposite equation in step 3. The y solution would then be 155/41 or 3 32/41 or 3.78

Hope this helps! :) Would love to be marked brainliest.
3 0
3 years ago
Read 2 more answers
Finding changed average
allsm [11]

Answer:

15.

Step-by-step explanation:

The new average will be 11 + 4 = 15.

8 0
3 years ago
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Mr. Littles is building a triangular sandbox using three boards. He already has two boards that measure 9 feet and 12 feet. Sele
Bess [88]

Answer:

  • 9 feet, 15 feet, 19 feet

Step-by-step explanation:

<u><em> Options are: </em></u>

  • <em>2 feet </em>
  • <em>3 feet </em>
  • <em>9 feet </em>
  • <em>15 feet </em>
  • <em>19 feet </em>
  • <em>21 feet </em>
  • <em>30 feet</em>

<em>-------------------------------------</em>

Use the triangle inequality theorem: sum of any two side must be greater than the third side by length

  • 2 feet     ⇒  no, as 2 + 9 < 12
  • 3 feet     ⇒  no, as 3 + 9 = 12
  • 9 feet     ⇒  yes
  • 15 feet    ⇒  yes
  • 19 feet    ⇒  yes
  • 21 feet    ⇒  no, as 9 + 12 = 21
  • 30 feet  ⇒  no, as 9 + 12 < 30

6 0
2 years ago
Brian has 40000 to invest in a mix of corporate and municipal bonds. The corporate bond pays 10% simple annual interest and the
jonny [76]

Answer:

Sum of money invested in corporate bonds = 30,000

Step-by-step explanation:

Total sum = 40,000

The rate of interest for corporate bonds = 10 % = 0.1

The rate of interest for municipal bonds = 6 % = 0.06

Total interest = 3600

Let sum of money invested in corporate bonds = x

The sum of money invested in municipal bonds = 40000 - x

x × 0.1 × 1 + (40000 - x) × 0.06 × 1 = 3600

(0.1- 0.06)x + 2400 = 3600

0.04 x = 1200

x = 30,000

Since x =  sum of money invested in corporate bonds

So  sum of money invested in corporate bonds = 30000

4 0
3 years ago
PLEASE ANSWER ASAP!!!
kirza4 [7]

Answer:

Step-by-step explanation:

its a

can i get brainliest ma'ma?

4 0
2 years ago
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