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3 years ago

The Masons built a deck in their backyard

Mathematics

1 answer:

zheka24 [161]3 years ago

3 0

Answer:

220

Step-by-step explanation:

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3x+2y=5 What is x/y intercept

torisob [31]

Answer:

x intercepts; (5/3 ,0 )

y-intercepts; (0 , 5/2)

Step-by-step explanation:

3 0

3 years ago

Which expression is equivalent to *picture attached*

DiKsa [7]

Answer:

The correct option is;

$4 \left (\dfrac{50 (50+1) (2\times 50+1)}{6} \right ) +3 \left (\dfrac{50(51) }{2} \right )$

Step-by-step explanation:

The given expression is presented as follows;

$\sum\limits _{n = 1}^{50}n\times \left (4\cdot n + 3 \right )$

Which can be expanded into the following form;

$\sum\limits _{n = 1}^{50} \left (4\cdot n^2 + 3 \cdot n\right ) = 4 \times \sum\limits _{n = 1}^{50} \left n^2 + 3 \times\sum\limits _{n = 1}^{50} n$

From which we have;

$\sum\limits _{k = 1}^{n} \left k^2 = \dfrac{n \times (n+1) \times(2n+1)}{6}$

$\sum\limits _{k = 1}^{n} \left k = \dfrac{n \times (n+1) }{2}$

Therefore, substituting the value of n = 50 we have;

$\sum\limits _{n = 1}^{50} \left k^2 = \dfrac{50 \times (50+1) \times(2\cdot 50+1)}{6}$

$\sum\limits _{k = 1}^{50} \left k = \dfrac{50 \times (50+1) }{2}$

Which gives;

$4 \times \sum\limits _{n = 1}^{50} \left n^2 = 4 \times \dfrac{n \times (n+1) \times(2n+1)}{6} = 4 \times \dfrac{50 \times (50+1) \times(2 \times 50+1)}{6}$

$3 \times\sum\limits _{n = 1}^{50} n = 3 \times \dfrac{n \times (n+1) }{2} = 3 \times \dfrac{50 \times (51) }{2}$

$\sum\limits _{n = 1}^{50}n\times \left (4\cdot n + 3 \right ) = 4 \times \dfrac{50 \times (50+1) \times(2\times 50+1)}{6} +3 \times \dfrac{50 \times (51) }{2}$

Therefore, we have;

$4 \left (\dfrac{50 (50+1) (2\times 50+1)}{6} \right ) +3 \left (\dfrac{50(51) }{2} \right )$ .

4 0

3 years ago

Are 12,24,36,48 proportional

Tju [1.3M]

No. (limit limit )))) is

7 0

3 years ago

I need the answer to the blank questions

blondinia [14]

We have that
n 12 part a)
actual distance-------------> 124 miles
map distance----------------> 4 cms
scale factor of the map =124 miles/4 cms=31 miles/cm

n 12 part b)
map distance=21 cms
actual distance?
[actual distance]=[map distance]*factor scale-----------> 21*(31)=651 miles

n 13)
we know that
(13.5/9)=(x/8)--------------> x=(13.5/9)*8-----------> x=12 units

n14)
we have that
x/26=(32-x)/18-----------> 18x=832-26x--------> x=18.91 units

8 0

3 years ago

Which equation represents a line that passes through (5,4) with a slope of 2∕5?

abruzzese [7]

The answer is y = 2/5x + 2

5 0

3 years ago