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11111nata11111 [884]
2 years ago
10

The tens digit of a two-digit number is five more than the units digit. Seven times the sum of the digits of this number is 3 le

ss than the number itself. Find the number.
Mathematics
2 answers:
snow_tiger [21]2 years ago
7 0

Answer:

The correct answer is 94

Step-by-step explanation:

I am Lyosha [343]2 years ago
3 0

Answer:

43

Step-by-step explanation:

Let

The unit digit = x

The tens digit = y

The number = 10x + y

The tens digit of a two-digit number is five more than the units digit.

y = x + 5

Seven times the sum of the digits of this number is 3 less than the number itself.

7(x + y) = 10x + y - 3

7x + 7y = 10x + y - 3

Find the number.

We substitute x + 5 for y

7x + 7(x + 5) = 10x + (x + 5) - 3

7x + 7x + 35 = 10x + x + 5x - 3

14x + 35 = 11x + 5x - 3

Collect like terms

35 + 3 = 11x + 5x -14x

38 = 16x - 14x

38 = 2x

x = 38/2

x = 19

Solving for y

y = x + 5

y = 19 + 5

y = 24

The number = 19 + 24

= 43

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Alex777 [14]

Answer:

TU ≈ 12.96

Step-by-step explanation:

Using the Altitude on Hypotenuse theorem

(leg of outer triangle)² = (part of hypotenuse below it) × (whole hypotenuse)

TU² = UV × SU = 6 × 28 = 168 ( take square root of both sides )

TU = \sqrt{168} ≈ 12.96 ( to the nearest hundredth )

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3 years ago
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lisov135 [29]

Answer:

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Step-by-step explanation:

4 0
3 years ago
Question Progress
Alik [6]

Answer:

60 ; - 40 ; 22 ; - 11

Step-by-step explanation:

Given that:

Number of questions = 20

Rules :

Every correct answer scores 3 points.

Each incorrect answer loses 2 points.

A question not answered scores 0 points.

It is possible to finish the quiz with a negative score.

a)

Maximum score : answering all questions correctly :

(3 points * 20 questions)

= 3 * 20

= 60 points

b)

Minimum score is obtainable by answering all questions incorrectly ;

(-2 points * 20)

= - 40 points

c)

10 correct answers = (3 * 10) = 30 points

(14 - 10) = 4 incorrect answers = (-2 * 4) = - 8 points

Net total = 30 + (-8) = 30 - 8 = 22 points

d) Another student answers 18 questions,

5 are correct. How many points does she score?

5 correct answers = (5 * 3) = 15 points

(18 - 5) incorrect answers = (13 * - 2) = - 26 points

Net total = 15 + (-26) = - 11 points

4 0
3 years ago
Find the measure of the missing angles.
MAXImum [283]
Answer- A- 20, B-70, c-20, d-50, e- 110

I think
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3 years ago
Solve this inequality and show the result on a number line.
MariettaO [177]

\\ \bull\tt\longmapsto 5(x-2)\geqslant 4(x-2)

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  • x is either 2 or greater than 2.
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3 years ago
Read 2 more answers
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