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Brums [2.3K]
3 years ago
8

1. Suppose a and b are real numbers where a > 0 and b < 0.

Mathematics
1 answer:
Nat2105 [25]3 years ago
3 0

a) –a + b is negative

b) a – b is positive

c) b-a is negative

Step-by-step explanation:

1. Suppose a and b are real numbers where a > 0 and b < 0.

a. Is –a + b positive or negative. Explain how you know.

We know a > 0 and b < 0. so, let a =6 and b = -5

Putting values:

–a + b

= -(6)+(-5) = -6-5 = -11

So, –a + b is negative

b. Is a – b positive or negative? Explain how you know.

We know a > 0 and b < 0. so, let a =6 and b = -5

Putting values:

a - b

=6-(-5) = 6+5 = 11

So, a – b is positive

c. Is b – a positive or negative. Explain how you know

We know a > 0 and b < 0. so, let a =6 and b = -5

Putting values:

b-a

=(-5)-(6)

= -5-6

= -11

So, b-a is negative

Keywords: Solving Integers:

Learn more about solving integers at:

  • brainly.com/question/5496711
  • brainly.com/question/11549940
  • brainly.com/question/11334714

#learnwithBrainly

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At the start of the week a bookshop had science and art books in the ratio 2:5. By the end of the week, 20% of each type of book
Anastaziya [24]
Let there be 2x science and 5x art books 
<span>science books sold = 2x × 0.2 = 0.4x </span>
<span>science books unsold = 2x – 0.4x = 1.6x </span>

<span>art books sold = 5x × 0.2 = x </span>
<span>art books unsold = 5x – x = 4x </span>

<span>total books unsold = 1.6x + 4x = 5.6x </span>
<span>5.6x = 2240 </span>
<span>x = 400 </span>

<span>2x science = 800 </span>
<span>and 5x art books = 2000 </span>
5 0
3 years ago
Kate bought a T-shirt for $12.95 and a pair of shorts for $10.95. She paid 6.25% in tax. What is her total amount that she paid?
sergeinik [125]

Kate paid $25.39 for her purchases.

Kate will receive $24.61 in change.

Step-by-step explanation:

Given,

Cost of t-shirt = $12.95

Cost of pair of shorts = $10.95

Total = cost of t-shirt + cost of pair of shorts

Total = 12.95 + 10.95 = $23.90

Sales tax = 6.25% of total amount

Amount of sales tax = \frac{6.25}{100}*23.90=\frac{149.375}{100}

Amount of sales tax= $1.49

Total amount with sales tax = 23.90 + 1.49 = $25.39

Kate paid $25.39 for her purchases.

Amount paid = $50

Change received = Amount paid - Bill amount

Change received = 50 - 25.39 = $24.61

Kate will receive $24.61 in change.

Keywords: sales tax, addition

Learn more about addition at:

  • brainly.com/question/11584312
  • brainly.com/question/116059

#LearnwithBrainly

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Answer:

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What is 3(x+3)+7x= ?
Hitman42 [59]

Answer:

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Step-by-step explanation:

You first have to multiply 3 into the parenthesis because you have to use distributive property.

Once you do that you get 3x+9+7x.

Combine like terms.

10x+9

6 0
3 years ago
Read 2 more answers
In a triangle, PQR, Q= 72 degree, R= 32 degree and PR= 12. find PQ.
tia_tia [17]

Answer:

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Step-by-step explanation:

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PQ=6.69 units

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