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Salsk061 [2.6K]
3 years ago
13

A. What is the difference in height between 30 m up a cliff and 87 m up a cliff? What is the distance between these positions?

Mathematics
1 answer:
Iteru [2.4K]3 years ago
7 0

Answer:

A. 57m   B. 130m

Step-by-step explanation:

For problem A:

87m up a cliff - 30m up a cliff = 57m up a cliff

These are all positive values

For problem B:

100m above is talking about a positive value, making this a positive number

30m below is talking about a negative value, making this number -30

0 meters represents the surface

As you can see, this is forming a number line as of which

below the surface------------------------0m-------------------------above the surface

by substitution,

-30-----------------------------------------------0-------------------------------100

therefore, 100 - -30 = 130 meters

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Sherrie invested some money at 6% interest. Sherrie also invested $249 more than 4 times that amount at 12%. How much is investe
Anon25 [30]

Answer:

  • 6%: $1776
  • 12%: $7353

Step-by-step explanation:

Let x represent the amount invested at 6%. Then the amount invested at 12% is 4x+249. Sherrie's interest is ...

  0.06x +0.12(4x +249) = 988.92

  0.54x + 29.88 = 988.92

  0.54x = 959.04

  x = 959.04/0.54 = 1776

  4x+249 = 7353

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Sherrie invested $1776 at 6% and $7353 at 12%.

4 0
3 years ago
Can you convert 300 grams to ounces
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So 300 grams = 10.5822 ounces
4 0
3 years ago
( – 1, – 5) 7x+2y=13, 4x+4y=14
serious [3.7K]

Answer:

{x,y} = {6/5,23/10}

Step-by-step explanation:

 [1]    7x + 2y = 13

  [2]    4x + 4y = 14  <---------- linear equations given

Graphic Representation of the Equations : PICTURE
2y + 7x = 13        4y + 4x = 14  

Solve by Substitution :

// Solve equation [2] for the variable  y

[2]    4y = -4x + 14

[2]    y = -x + 7/2

// Plug this in for variable  y  in equation [1]

  [1]    7x + 2•(-x +7/2) = 13

  [1]    5x = 6

// Solve equation [1] for the variable  x

  [1]    5x = 6

  [1]    x = 6/5

// By now we know this much :

   x = 6/5

   y = -x+7/2

// Use the  x  value to solve for  y

   y = -(6/5)+7/2 = 23/10

// Plug this in for variable  y  in equation [1]

 [1]    7x + 2•(-x +7/2) = 13

  [1]    5x = 6

// Solve equation [1] for the variable  x

 [1]    5x = 6

[1]    x = 6/5

// By now we know this much :

   x = 6/5

   y = -x+7/2

// Use the  x  value to solve for  y

  y = -(6/5)+7/2 = 23/10

4 0
2 years ago
Lisa wants to buy a computer, this computer costs $400, its on sale for 30% off, if you buy it before 9AM to get an additional 1
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Answer:

hope this helps A chair that costs $210 was reduced by 40% for a one-day sale. After the sale, the sale price was ... SALE. tmsysWOW!$10 OFF ... off. 1.83. 169 99. Buy 1 Large Cheese Pizza for $12.50,. Get the 2nd for 1 offi ... Tai has a coupon for 20% off his total. Tax is. 8.25%. Find the total cost of Tai's purchase after the discount and tax.

Step-by-step explanation:

7 0
3 years ago
Marsha counted 24 birds at the wildlife refuge, and Aamir counted 86 birds. What is the ratio of Aamir’s Burge to Marshall’s bir
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Answer:

43:12

Step-by-step explanation:

3 0
4 years ago
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