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drek231 [11]
3 years ago
15

Show all work for full credit.

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
4 0

Answer:

−1,−4,−9,−14,-19,-24,-29,-34,-39,-44,-49,-54

Step-by-step explanation:

Sum is 3 then 5

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A The length of a rectangle is 4 m more
Lady bird [3.3K]

Given :

  • The length of a rectangle is 4m more than the width.
  • The area of the rectangle is 45m²

⠀

To Find :

  • The length and width of the rectangle.

⠀

Solution :

We know that,

\qquad { \pmb{ \bf{Length \times Width = Area_{(rectangle)}}}}\:

So,

Let's assume the length of the rectangle as x and the width will be (x – 4).

⠀

Now, Substituting the given values in the formula :

\qquad \sf \: { \dashrightarrow x  \times  (x - 4) = 45 }

\qquad \sf \: { \dashrightarrow {x}^{2}  - 4x = 45 }

\qquad \sf \: { \dashrightarrow {x}^{2}  - 4x - 45 = 0 }

\qquad \sf \: { \dashrightarrow {x}^{2}    - 9x+ 5 x - 45 = 0 }

\qquad \sf \: { \dashrightarrow x(x - 9) + 5(x - 9) = 0 }

\qquad \sf \: { \dashrightarrow (x  - 9) (x  + 5) = 0 }

\qquad \sf \: { \dashrightarrow x = 9, \: \: x =  - 5}

⠀

Since, The length can't be negative, so the length will be 9 which is positive.

⠀

\qquad { \pmb{ \bf{ Length _{(rectangle)} = 9\:m}}}\:

\qquad { \pmb{ \bf{ Width _{(rectangle)} = 9 - 4=5\: m}}}\:

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

8 0
2 years ago
A Ferris wheel is 136 feet tall. It casts a 34-foot shadow.
Brilliant_brown [7]

Answer:

6 feet

Step-by-step explanation:

This problem involves using ratios to compare side lengths in similar triangles.

136/34=x/1.5

136/34*1.5=x/1.5*1.5

136/34*1.5=x

x=6

The man is 6 feet tall

8 0
3 years ago
Solve the equation and enter the value of x below. x(8 + 9) = 34​
vodomira [7]

\huge\boxed{\mathfrak{Answer}}

x(8 + 9) =  34 \\ 8x + 9x = 34 \\ 17x = 34 \\ x =  \frac{34}{17}  \\ x = 2

=> The answer is <u>2</u><u>.</u>

5 0
3 years ago
The mean age of 3 women in an office is 27 years old.
horrorfan [7]

Answer:

mean age of women

(x+y+z)/3=27

mean age of men

(x1+x2+x3+x4+x5+x6)/6=34

mean age of all people in the office

x+y+z=27*3=81

x1+...x6=34*6=204

so

mean age( x+y+z+x1+x2+..x6)/(3+6)=(27*3+34*6)/9

=(81+204)/9=285/9=32 approximately

4 0
3 years ago
If 19.40 is paid per 200 brochures how much is paid for 600 brochures sold
arlik [135]

Answer:

$58.20

Step-by-step explanation:

600 /200 = 3

3 * 19.40 = 58.20

5 0
3 years ago
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