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4 years ago

8

72b384 is a number in which one of its digits is ‘b'. If the number is a multiple of 9, what is the numerical value of ‘b'?

1 answer:

Maslowich4 years ago

7 0

A number is divisible by 9 if and only if the sum of its digits is divisible by 9.

So, the sum of the digits of your number is

$7+2+b+3+8+4 = 24+b$

Since b ranges from 0 to 9 (it is a digit and it can't have any other values), 24+b ranges from 24 to 33. The only multiple of 9 in this range is 27, which we obtain by choosing b=3.

So, the only way to choose a value for b in order to make your number divisible by 9 is choosing b=3 and thus getting the number 723384, and indeed we have

$\dfrac{723384}{9}=80376$

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A jewelry store is selling necklaces and bracelets. Each necklace yields a profit of $8 and each bracelet yields a profit of $6.

marta [7]

n = necklace

b = bracelet

n +b =120

n = 120-b

3.50n + 2.50b = 330

11n + 5b = 880

3.5(120-b) +2.5b=330

420-3.5b + 2.5b = 330

420 -b = 330

-b = -90

B =90

N = 30

3.5*30= 105

2.5*90 = 225

225 +105 = 330

11*30 = 330

90*5 = 450

450 +330 = 780

90 bracelets and 30 necklaces

3 0

3 years ago

(1.)Find the slope of the line that passes through the given pair of points. (If an answer is undefined, enter UNDEFINED.) (?a +

jekas [21]

Answer:

1. The slope of the line is $m=\frac{-2b+3}{2a}$ .

2. The value of a is 18.

Step-by-step explanation:

If a line passes through two points, then the slope of the line is

$m=\frac{y_2-y_1}{x_2-x_1}$

(1)

It is given that the line passes through the points (-a + 3, b - 3) and (a + 3, -b). So, the slope of the line is

$m=\frac{-b-(b-3)}{a+3-(-a+3)}$

$m=\frac{-b-b+3}{a+3+a-3)}$

$m=\frac{-2b+3}{2a}$

The slope of the line is $m=\frac{-2b+3}{2a}$ .

(2)

If the line passing through the points (a, 1) and (6, 5), then the slope of the line is

$m_1=\frac{5-1}{6-a}=\frac{4}{6-a}$

If the line passing through the points (2, 7) and (a + 2, 1), then the slope of the line is

$m_2=\frac{1-7}{a+2-2}=\frac{-6}{a}$

The slopes of two parallel lines are same.

$m_1=m_2$

$\frac{4}{6-a}=\frac{-6}{a}$

On cross multiplication we get

$4a=-6(6-a)$

$4a=-36+6a$

$4a-6a=-36$

$-2a=-36$

Divide both sides by -2.

$a=18$

Therefore the value of a is 18.

8 0

3 years ago

Select all that apply. Proteins _____. are part of antibodies consist of amino acids contain carbon, hydrogen, oxygen, and nitro

soldier1979 [14.2K]

Answer:

parts of antibodies
consist of amino acids containing carbon, hydrogen, oxygen, and nitrogen

Step-by-step explanation:

Antibodies are immune system-related proteins called immunoglobulins.

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Norma-Jean [14]

Answer:

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ElenaW [278]

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Step-by-step explanation:

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3 years ago

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