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Stolb23 [73]
3 years ago
15

The digits in the tens place of a two-digit number are 3 more than the digits in the unit place. If the digit at the unit place

be ‘b', then the number is a) 11b + 30 b) 10b + 30 c) 11b + 3 d) 10b + 3
Mathematics
1 answer:
Tems11 [23]3 years ago
4 0

Answer:

A

Step-by-step explanation:

We are told that the number at the unit place is 3 less than the number at the tens place.

So if the number at the units place is b, then the number at the tens place is 10(b+ 3)

So the number is thus;

10(b + 3) + b

= 10b + 30 + b = 11b + 30

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3 years ago
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Answer:

The value that will create an equation with no solutions is 5x.

Step-by-step explanation:

No solution would mean that there is no answer to the equation. It is impossible for the equation to be  true no matter what value we assign to the variable.

To create a no solution equation, we can need to create a mathematical statement that is always false.  To do this, we need the variables on both sides of the equation to cancel each other out and have the remaining  values to not be equal.

Use distributive property on the left side first.

3(x - 4) = [blank] - 2x +7\\\\3x-12=5x - 2x +7\\\\3x-12=3x+7\\\\3x-12+12=3x+7+12\\\\3x=3x+19\\\\3x-3x=3x+19-3x\\\\0=19

Notice that we combined like terms first and then eliminated the variable from one side. When that  happened, the variable on the other side was eliminated as well, giving us a false result.

Since zero does not equal nineteen, we know we have an equation with no solution.

3 0
3 years ago
Last year, a women's professional organization made two small-business loans totaling $28,000 to young women beginning their own
igor_vitrenko [27]

Answer:

$7,000 at a rate of 7% and $21,000 at a rate of 14%.

Step-by-step explanation:

Let x be amount invested at 7% and y be amount invested at 14%.

We have been given that a women's professional organization made two small-business loans totaling $28,000. We can represent this information in an equation as:

x+y=28,000...(1)

The interest earned at 7% in one year would be 0.07x and interest earned at 14% in one year would be 0.14x.

We are also told that the organization received from these loans was $3,430. We can represent this information in an equation as:

0.07x+0.14y=3,430...(2)

Form equation (1), we will get:

x=28,000-y

Upon substituting this value in equation (2), we will get:

0.07(28,000-y)+0.14y=3,430

1960-0.07y+0.14y=3,430

1960+0.07y=3,430

1960-1960+0.07y=3,430-1960

0.07y=1470

\frac{0.07y}{0.07}=\frac{1470}{0.07}

y=21,000

Therefore, an amount of $21,000 was invested at a rate of 14%.

x=28,000-y

x=28,000-21,000

x=7,000

Therefore, an amount of $7,000 was invested at a rate of 14%.

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Answer:

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Step-by-step explanation:

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