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Amiraneli [1.4K]
3 years ago
10

Three consecutive intergers have a sum of 84. Find the intergers ___,___,___,

Mathematics
1 answer:
Fudgin [204]3 years ago
8 0

Answer:

27 + 28 + 29 = 84

Step-by-step explanation:

x + (x+1) + (x+2) = 84

3x + 3 = 84

84 - 3 = 81

81 / 3 = 27

You might be interested in
Which expression means 7 more than a number?
Kisachek [45]
The answer is B 

- <span>"More" means added to, or addition. So 7 more than 'A number' is: </span><span>d + 7</span>
4 0
3 years ago
In a G.P the 3rd term is 4 times the 1st term and the sum of the 2nd term and the 4th term is 30.find the common ratio,find the
STALIN [3.7K]

Answer:

the common ratio is either 2 or -2.

the sum of the first 7 terms is then either 765 or 255

Step-by-step explanation:

a geometric sequence or series of progression (these are the most common names for the same thing) means that every new term of the sequence is created by multiplying the previous term by a constant factor which is called the common ratio.

so,

a1

a2 = a1×f

a3 = a2×f = a1×f²

a4 = a3×f = a1×f³

the problem description here tells us

a3 = 4×a1

and from above we know a3 = a1×f².

so, f² = 4

and therefore the common ratio = f = 2 or -2 (we need to keep that in mind).

again, the problem description tells us

a2 + a4 = 30

a1×f + a1×f³ = 30

for f = 2

a1×2 + a1×2³ = 30

2a1 + 8a1 = 30

10a1 = 30

a1 = 3

for f = -2

a1×-2 + a1×(-2)³ = 30

-10a1 = 30

a1 = -3

the sum of the first n terms of a geometric sequence is

sn = a1×(1 - f^(n+1))/(1-f) for f <>1

so, for f = 2

s7 = 3×(1 - 2⁸)/(1-2) = 3×-255/-1 = 3×255 = 765

for f = -2

s7 = -3×(1 - (-2)⁸)/(1 - -2) = -3×(1-256)/3 = -3×-255/3 =

= -1×-255 = 255

4 0
2 years ago
A rectangle is placed around a semicircle as shown below. The length of the rectangle is 8 cm. Find the area of the shaded regio
icang [17]

Answer:

Area of the shaded region = 6.88 cm²

Step-by-step explanation:

Area of the shaded region = Area of the rectangle - Area of the semicircle

Area of the rectangle = Length × Width

Length of the rectangle = AD = 8 cm

Width of the rectangle = OP = 4 cm [OP, OB and OC are the radii of the circle which are equal in measures]

Area of the rectangle = 8 × 4 = 32 cm²

Area of the semicircle = \frac{1}{2}\pi r^{2}

                                     = \frac{1}{2}\pi (OP)^{2}

                                     = \frac{1}{2}\pi (4)^{2}

                                     = 25.12 cm²

Area of the shaded region = 32 - 25.12

                                              = 6.88 cm²

3 0
3 years ago
Help please! Thanks
SSSSS [86.1K]

Answer:

E. 0

Step-by-step explanation:

There isn't any guarantee that there are <em>any </em>people that have their birthdays in the same month based on what you're given, so your answer would be 0.

8 0
3 years ago
What is the most reasonable estimate for 54% of 168<br> <br> A:8.4<br> B:46<br> C:84<br> D:110
lianna [129]
Just by estimating, 54% is a little over 1/2 of 168.  You know by that, that neither A or B is close. The real answer is 90.72, so if your instructor wants you to round up, it would be D
8 0
3 years ago
Read 2 more answers
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