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777dan777 [17]
3 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'?

Mathematics
1 answer:
Maslowich3 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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Next sequence of 1,-2,-5,-8
melamori03 [73]

Answer:

-11,-14,-17

Step-by-step explanation:

Your numbers are decreasing by 3.

3 0
3 years ago
What is the midpoint of the segment shown below? (-2, 3) (10, 3)
sergeinik [125]

Answer:

That point P(x,y)

x = (-2+10)/2 = 4

y = (3+3)/2 = 3

=> P (4,3)

5 0
3 years ago
Someone, please help me lol I'm small brain
Eddi Din [679]

Answer:

Measure of EF: 1.98

Measure of AB: 6.16

Measure of HI: 12.2

Step-by-step explanation:

Trick I learned that's very helpful when solving these problems: SOH (Sine, Opposite, Hypotenuse)- CAH (Cosine, Adjacent, Hypotenuse)- TOA (Tangent, Opposite, Adjacent)

MEASURE OF EF

you're starting with angle D which is 26 degrees. You have the measure of the Hypotenuse (DF) and you're trying to find the measure of EF (the segment opposite the angle) so you would use Sine

to do the equation, i'm going to use x in place of EF. 0.44 = sin(26)

Formula: sin(angle) = (opposite)/(hypotenuse)

Equation:

0.44 = x/4.5       <----------- multiply by 4.5 to get x by itself

4.5*0.44 = x       <---------- 4.5 times 0.44

1.98= x       <----------------answer

MEASURE OF AB

trying to find hypotenuse and you already have the adjacent angle so you would use cosine. Using y in place of AB. 0.616 = sin(52)

cos(angle) = (adjacent)/(hypotenuse)

cos(52) = 10/y      <------ divide by y

y*0.616 = 10       <------------ divide by 0.616

y = 10/0.616    <----------- next you'll divide 10 by 0.616

y = 6.16    <-----------answer

MEASURE OF HI

trying to find adjacent, already have opposite so you would use tangent. tan(42) = 0.90. using z in place of HI

tan(angle) = (opposite)/(adjacent)

tan(42) = 11/z   <------------ multiply z on both sides

z*0.90 = 11  <--------- divide by 0.90 to get z by itself

z = 11/0.90    <-------- divide 11 by 0.90

z = 12.2

4 0
2 years ago
What number do you divide by 12 to get 9
finlep [7]

Well I don't know.  Let's figure it out together.

You said (a number) divided by 12 gives you 9 .

A fraction is the easiest way to show division, so
you can write this equation:

               (number) / 12  =  9

Now you can multiply each side of the equation by  12 .
When you do that, you have ...

                 number   =   9 x 12

                 <em>number   =    108</em> .

Now you know how to find it.  That's even better than just
having the answer.


5 0
3 years ago
Read 2 more answers
Graph ƒ(x) = 2x - 3.
Naya [18.7K]
Ok so your gonna go on the graph and your gonna go to -3 and make a dot then from that point you go up two times and over to the right once and that's your slope
5 0
3 years ago
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