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Fofino [41]
2 years ago
9

The product of two consecutive natural numbers is greater than their sum by 109. Find these numbers

Mathematics
1 answer:
Charra [1.4K]2 years ago
8 0

Answer:

The numbers will be "11 and 12".

i believe

Step-by-step explanation:

x(x + 1) > x + x + 1 + 109     where x and x+1 are the 2 numbers.

x^2 + x > 2x + 110

x^2  - x - 110 > 0

(x - 11)(x + 10) > 0    The critical values are 11 and -10 but number must be natural

So the value of x is 11

The numbers are 11 and 12

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Please help me with this!
GREYUIT [131]

Answer:

p=-7

Step-by-step explanation:

-11+10(p+10)=4-5(2p+11)

Firstly, expand the bracket

-11+10p+100=4-10p-55

Next, you collect like terms

10p+10p=4-55-100+11

20p=-140

Divide through by the coefficient of p

20p/20=-140/20

p=-7

5 0
2 years ago
Brandon just bought a new coffee table. The length of the coffee table is 5 more than 3 times the width. If the perimeter of the
a_sh-v [17]

Answer:

The length is 23 inches and the width is 6 inches.

Step-by-step explanation:

The perimeter for a rectangular shape is represented as:

P = 2L + 2W, where L represents length and W represents width

We can represent the length as:

L = 3W + 5

Substituting this into the perimeter function, we get:

P = 2 (3W + 5) + 2W

Substituting 58 for P, we get:

58 = 2 (3W + 5) + 2W

58 = 6W + 10 + 2W

58 = 8W + 10

58 - 10 = 8W + 10 - 10

48 = 8W

48 / 8 = 8W / 8

6 = W

With 6 being the established value for the width, we can substitute this back into the equation for length:

L = 3W + 5

L = 3(6) + 5

L = 18 + 5

L = 23

To check our work, we can substitute both the width and length into the perimeter equation:

P = 2L + 2W

58 = 2(23) + 2(6)

58 = 46 + 12

58 = 58

Therefore, length is 23 inches and the width is 6 inches.

5 0
3 years ago
What is the sign? Thank you
Kay [80]

For simplicity, disregard the fractions.  Then you have 48 + (- 39), since opposite signs change into a negative sign, you have 48 - 39.  What is the answer?

POSITIVE

5 0
3 years ago
A straight angle is split in the ratio 3:1:4. Find the measure of each angle.
lozanna [386]

Answer: The angles are 67.5°, 22.5° and 90°.

Step-by-step explanation:

It should be noted that a straight angle is always equal to 180°.

The straight angle is split in the ratio 3:1:4.

The measure of each angle will be:

a. = 3/(3+1+4) × 180°

= 3/8 × 180°

= 67.5°

b. 1/8 × 180° = 22.5°

c. 4/8 × 180° = 90°

The angles are 67.5°, 22.5° and 90°.

4 0
2 years ago
Solve for x 3(x + 2) = 12
Zielflug [23.3K]

Answer:

x=2

Step-by-step explanation:

3(x+20/3=12/3

x+2=4

x+2-2=4-2

x=2

7 0
3 years ago
Read 2 more answers
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