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3 years ago

The tens digit is 9 more than the ones digit

1 answer:

6 0

This number should be 10.

The tens digit the the 1st number on a two-digit number. Because the highest number you can go without creating a hundredths place is a 9, and the question says the ones-place (the last digit), this has to make this number 0. If it were to be 1 or anything higher, it would have to create a hundredths place if the rule of the question were to be followed.

Example:
If ones-place were 1, then following rule: 1+9 = 10
Your number would end up being 101 instead of a tenths place number.

I hope that made some sense somewhere!

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If 2(4x + 3)/(x - 3)(x + 7) = a/x - 3 + b/x + 7, find the values of a and b.

zmey [24]

Answer:

$a=3$ and $b=5$ .

Step-by-step explanation:

So I believe the problem is this:

$\frac{2(4x+3)}{x-3}(x+7)}=\frac{a}{x-3}+\frac{b}{x+7}$

where we are asked to find values for $a$ and $b$ such that the equation holds for any $x$ in the equation's domain.

So I'm actually going to get rid of any domain restrictions by multiplying both sides by (x-3)(x+7).

In other words this will clear the fractions.

$\frac{2(4x+3)}{x-3}(x+7)}\cdot(x-3)(x+7)=\frac{a}{x-3}\cdot(x-3)(x+7)+\frac{b}{x+7}(x-3)(x+7)$

$2(4x+3)=a(x+7)+b(x-3)$

As you can see there was some cancellation.

I'm going to plug in -7 for x because x+7 becomes 0 then.

$2(4\cdot -7+3)=a(-7+7)+b(-7-3)$

$2(-28+3)=a(0)+b(-10)$

$2(-25)=0-10b$

$-50=-10b$

Divide both sides by -10:

$\frac{-50}{-10}=b$

$5=b$

Now we have:

$2(4x+3)=a(x+7)+b(x-3)$ with $b=5$

I notice that x-3 is 0 when x=3. So I'm going to replace x with 3.

$2(4\cdot 3+3)=a(3+7)+b(3-3)$

$2(12+3)=a(10)+b(0)$

$2(15)=10a+0$

$30=10a$

Divide both sides by 10:

$\frac{30}{10}=a$

$3=a$

So $a=3$ and $b=5$ .

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Mumz [18]

Answer:

There are actually an infinite number of ordered pairs that will satisfy the equation y=3x+7 including (-1,4), (0,7) and (1, 10).

Step-by-step explanation:

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2 years ago

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Nookie1986 [14]

Answer:

<D=<N

Step-by-step explanation:

Corresponding angle, both in third digit, others are in different digits.

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2 years ago

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Effectus [21]

Answer:

asking 10 students wearing football jerseys each day for a week

Step-by-step explanation:

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PLEASE HELP,, MARKING BRAINLIEST!!! Solve for x

Trava [24]

9514 1404 393

Answer:

x = 10

Step-by-step explanation:

The marked sides are proportional, so we have ...

x/8 = (x +5)/12

3x = 2(x +5) . . . . . multiply by 24 to clear fractions

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x = 10 . . . . . . . . . . subtract 2x

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Alternate solution

We observe that the difference between the upper segment lengths is ...

(x +5) -(x) = 5

and the difference between the lower segment lengths is ...

12 -8 = 4

This means the upper segment lengths are 5/4 times as long as the lower segments. Then ...

x = (5/4)(8) = 10

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