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Contact [7]
4 years ago
8

The sum of three consecutive integers is -9. what are the numbers?

Mathematics
1 answer:
anyanavicka [17]4 years ago
3 0
-4,-3,-2 if you add them up you should get -9
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How is 7/6 the same as 21/18 please how do i show my work
Oduvanchick [21]

Answer:

Multiply 7/6 by 3/3

Step-by-step explanation:

Multiplying 7/6 by 3/3 will give you a result of 21/18.

Hope this helps!

6 0
4 years ago
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PLSSSSSSSSSS URGENT I NEED HELP!!!
Novosadov [1.4K]

Answer:

The values of a and b are:

  • a = 2
  • b = 2

Step-by-step explanation:

We know that the slope-intercept form of the line equation

y = ax+b

where

  • a is the slope
  • b is the y-intercept

From the diagram of the line graph, we can fetch the two points

  • (0, 2)
  • (-1, 0)

Determining the slope between (0, 2) and (-1, 0)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(0,\:2\right),\:\left(x_2,\:y_2\right)=\left(-1,\:0\right)

a=\frac{0-2}{-1-0}

a=2

Thus, the value of a = 2

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 2

Thus, the y-intercept b = 2

now substituting a = 2 and b = 2 in the slope-intercept form of the line equation

y = ax+b

y = 2x + 2         ∵ a = 2 , b = 2

Thus, the line of equation is:

y = 2x+2

now comparing with y = ax+b

Here:

a = 2

b = 2

Therefore, the values of a and b are:

  • a = 2
  • b = 2
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3 years ago
A study by a group of cardiologists determined that maximal heart rate in humans, a parameter used as a basis for prescribing ex
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Answer:

208 - 0.7a < 180

Step-by-step explanation:

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Use the law of cosines to find the value of cos theta. round your answer to two decimal places.
blondinia [14]
Use the law of cosines to find the value of cos theta. round your answer to two decimal places.
The opposite side of the theta is 5.7. Adjacent to the theta is 9.8.
Hypotenuse is 10.2

A. 0.35
B. 0.23
☆☆☆☆☆☆☆☆☆☆☆☆☆☆C. 0.84
D. 1.23

7 0
3 years ago
Read 2 more answers
7 pt 1 c + 4 pt 1 c
kaheart [24]

ANSWERS

1. B

2. B

3. A

4. C
5. B

6. A

 

WORKINGS

 

QUESTION 1

7 pt 1c + 4pt 1c (pt for Pints; c for Cups)
= 7pt + 1c + 4pt + 1c

 

Collecting like terms

= 7pt + 4pt + 1c + 1c

= 11pt + 2c

 

1pt = 2c

Therefore,

11pt 2c = 11pt + 1pt

= 12 pt (OPTION B)

 


QUESTION 2

7c 3fl oz – 3c 4fl oz (c for Cups; oz for Ounce)
= 7c + 3fl oz – (3c + 4fl oz)

= 7c + 3fl oz – 3c – 4fl oz

 

Collecting like terms

= 7c – 3c + 3fl oz – 4fl oz

= 4c – 1fl oz

 

1c = 8fl oz

Therefore, 4c can be rewritten as 3c + 8fl oz

 4c – 1fl oz = 3c + 8fl oz – 1fl oz

= 3c + 7fl oz

= 3c 7fl oz (Option B)

 

 

QUESTION 3

4lb 4oz – 2lb 7oz (lb for Pounds; oz for Ounce)

= 4lb + 4oz – (2lb + 7oz)

= 4lb + 4oz – 2lb – 7oz

 

Collecting like terms

= 4lb – 2lb + 4oz – 7oz

= 2lb – 3oz

 

1lb = 16oz

Therefore, 2lb can be rewritten as 1lb + 16oz

2lb – 3oz = 1lb + 16oz – 3oz

= 1lb + 13oz

= 1lb 13oz (Option A)





QUESTION 4

7T 200lb – 2T 700lb (T for Tons; lb for Pounds)

= 7T + 200lb – (2T + 700lb)

= 7T + 200lb – 2T – 700lb

 

Collecting like terms

= 7T – 2T + 200lb – 700lb

= 5T – 500lb

1T = 2,000lb

Therefore, 5T can be rewritten as 4T + 2,000lb

5T – 500lb = 4T + 2,000lb – 500lb]

= 4T + 1,500lb

= 4T 1,500lb (Option C)

 

 

QUESTION 5

7 d 12 h – 5 d 18 h (d for Days; h for Hours)
= 7d + 12h – (5d + 18h)

= 7d + 12h – 5d – 18h

 

Collecting like terms

= 7d – 5d + 12h – 18h

= 2d – 6h

 

1d = 24h

Therefore, 2d can be rewritten as 1d + 24h

2d – 6h = 1d + 24h – 6h

= 1d + 18h

= 1d 18h (Option B)

 

QUESTION 6
3 h 42 min – 1 h 12 min (h for Hours; min for Minutes)

= 3h + 42min – (1h + 12min)

= 3h + 42min – 1h – 12min

 

Collecting like terms

3h – 1h + 42min – 12min
= 2h + 30min

= 2h 30min (Option A) 

6 0
4 years ago
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