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Arisa [49]
3 years ago
13

find two consecutive intergers who sum is equal to the difference of three times the larger and two times the smaller

Mathematics
1 answer:
vekshin13 years ago
3 0

Answer:

4 and 6

Step-by-step explanation:

Let integers be x and x+2 Then:-

x + x + 2  = 3(x + 2) - 2x

2x + 2 = 3x + 6 - 2x

2x + 2 = x + 6

x = 4

The numbers are 4 and 6.

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Simplify the expression below.<br> 12b + 86 + 5b<br> 0 25 + b<br> O 25(3b)<br> 25b<br> 3b
Alja [10]

(1): "^-5" was replaced by "^(-5)". 3 more similar replacement(s)

STEP

1

:

Equation at the end of step 1

                    ((25•(b-1))•(c-3))

 (((12•(b4))•(c-6))•——————————————————)•((2•5b(-5))•c)

                     ((15•(b3))•(c4))

STEP

2

:

Equation at the end of step

2

:

                    ((25•(b-1))•(c-3))

 (((12•(b4))•(c-6))•——————————————————)•(2•5b(-5)c)

                       ((3•5b3)•c4)  

STEP

3

:

Equation at the end of step

3

:

                    (52b(-1)•c(-3))

 (((12•(b4))•(c-6))•———————————————)•(2•5b(-5)c)

                       (3•5b3c4)  

STEP

4

:

           52b(-1)c(-3)

Simplify   ————————————

            (3•5b3c4)  

Dividing exponential expressions :

4.1    b(-1) divided by b3 = b((-1) - 3) = b(-4) = 1/b4

Dividing exponential expressions :

4.2    c(-3) divided by c4 = c((-3) - 4) = c(-7) = 1/c7

Dividing exponents:

4.3    52   divided by   51   = 5(2 - 1) = 51 = 5

Equation at the end of step

4

:

                      5  

 (((12•(b4))•(c-6))•—————)•(2•5b(-5)c)

                    3b4c7

STEP

5

:

Equation at the end of step

5

:

                         5  

 (((22•3b4) • c(-6)) • —————) • (2•5b(-5)c)

                       3b4c7

STEP

6

:

Canceling Out :

6.1    Canceling out b4 as it appears on both sides of the fraction line

Dividing exponential expressions :

6.2    c(-6) divided by c7 = c((-6) - 7) = c(-13) = 1/c13

Canceling Out:

6.3      Canceling out  3  as it appears on both sides of the fraction line

Equation at the end of step

6

:

  20

 ——— • (2•5b(-5)c)

 c13

STEP

7

:

Multiplying exponents:

7.1    22  multiplied by  21   = 2(2 + 1) = 23

Multiplying exponents:

7.2    51  multiplied by  51   = 5(1 + 1) = 52

Dividing exponential expressions :

7.3    c1 divided by c13 = c(1 - 13) = c(-12) = 1/c12

Final result :

  200

 —————

 b5c12 Answer:

Step-by-step explanation:

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Step-by-step explanation:

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The dockland building in hamburg, germany is built in the shape of a parallelogram. What is the length of the flight of stairs t
Tamiku [17]

Answer:

The length of the flight of stairs is 52 m

Step-by-step explanation:

<em>In parallelograms, opposite sides are equal in length</em>

In the given figure

∵ The building is built in the shape of a parallelogram

∵ The length of the flight of stairs is one side of it

→ We can find it by finding the hypotenuse of the right triangle

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∴ The length of it = the length of the hypotenuse of the right Δ

→ By using the Pythagoras Theorem

∵ h = \sqrt{(leg1)^{2}+(leg2)^{2}}

∵ leg1 = 47 and leg2 = 22  

∴ h = \sqrt{(47)^{2}+(22)^{2}}

∴ h = \sqrt{2209+484}

∴ h = \sqrt{2693}

∴ h = 51.89412298

∵ h represents the length of the flight of stairs

∴ The length of the flight of stairs = 51.89412298 m

→ Round it to the nearest meter

∴ The length of the flight of stairs = 52 m

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3 years ago
Jeffrey is making a passcode for his new phone. He decides to create a 6
torisob [31]
About 750 different permutations
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