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Lelechka [254]
3 years ago
14

Solve for b. b /–4+ 18 = 20

Mathematics
1 answer:
disa [49]3 years ago
4 0

Answer:

280

Step-by-step explanation:

(b/ -4 + 18 )(-4 + 18) = 20 (-4 +18)

b = 20 (-4 + 18)

b = 20 (14)

b = 280

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Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. x2+3/2x
denis23 [38]

Answer:

The added term needed for that expression to be a square is 9/16.

Step-by-step explanation:

We're provided with two terms, and asked to add an additional term to make this a perfect square.  For this to work, the term needs to be a scalar value that is the square of half the coefficient of the second term.

That coefficient is 3/2, so half of that is 3/4, and its square is 9/16.

If we tack that on the end then, we get:

x^2 + \frac{3x}{2} + \frac{9}{16}\\=(x + \frac{3}{4})^2

To confirm the answer, let's expand it and see if we get the original expression:

(x + \frac{3}{4})^2\\= (x + \frac{3}{4})(x + \frac{3}{4})\\= x^1 + \frac{3x}{4} + \frac{3x}{4} + \frac{9}{16}\\= x^2 + \frac{6x}{4} + \frac{9}{16}\\=x^2 + \frac{3x}{2} + \frac{9}{16}

So 9/16ths is the scalar that needs to be added on the end.

4 0
3 years ago
Jamie received £26 pocket money last week. He spent it as follows: 10% on sweets, 25% on magazines 15% on games How much did Jam
navik [9.2K]

Answer:

Total money left with Jamie = £13

Step-by-step explanation:

Jamie received pocket money = £26

He spent on sweets = 10% of total pocket money

Expense on magazines = 25% of the total money

Expense on games = 15% of the pocket money

Total expenditure on sweets, magazines and games = \frac{10}{100}+\frac{25}{100}+\frac{15}{100}

= \frac{50}{100} Or 50% of the pocket money he received

Therefore, money left with Jamie = 50% of total money he received as pocket money

= \frac{50}{100}\times 26

= £13

6 0
3 years ago
the utilities bill for the Miller's' house in April was $132. forty two percent of the bill was for gas, and the rest was for el
Lynna [10]
Hey You!

132*42% = 55.44

132 - 55.44 = 76.56

So, the Millers paid $55.44 for gas and $76.56 for electricity.
4 0
3 years ago
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Share a $67.14 Tattslotto win between 3 colleagues
Masja [62]

Answer:22.383

Step-by-step explanation:

Divide 67.14 from 3

7 0
3 years ago
Read 2 more answers
Find the value of x and y in the given parallelogram
frez [133]

Answer:

Step-by-step explanation:

9y-4 = 50

9y = 54

y= 6

9y-4+7x+xy = 180

9(6)-4+7x+6x= 180

54-4+13x = 180

13x+50 = 180

13x = 130

x = 10

6 0
3 years ago
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