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3 years ago

Solve the equation. 8n+15=25

Mathematics

2 answers:

Maslowich3 years ago

8 0

One way to find out is: 25 minus 15 divided by 8... this will give the answer 1.25

Aneli [31]3 years ago

3 0

N=1.25 or you can use n= 1 1/4

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George has $49 which he decides to spend on x and y. commodity x costs $5 per unit and commodity y costs $11 per unit. he has th

FromTheMoon [43]

We are given the equations:

5 x + 11 y = 49 --> eqtn 1

u = 3 x^2 + 6 y^2 --> eqtn 2

Rewrite eqtn 1 explicit to y:

11 y = 49 – 5 x

y = (49 – 5x) / 11 --> eqtn 3

Substitute eqtn 3 to eqtn 2:

u = 3 x^2 + 6 [(49 – 5x) / 11]^2

u = 3 x^2 + 6 [(2401 – 490 x + 25 x^2) / 121]

u = 3 x^2 + 14406/121 – 2940x/121 + 150x^2/121

u = 4.24 x^2 – 24.3 x + 119.06

Derive then set du/dx = 0 to get the maxima:

du/dx = 8.48 x – 24.3 = 0

solving for x:

8.48 x = 24.3

x = 2.87

so y is:

y = (49 – 5x) / 11 = (49 – 5*2.87) / 11

y = 3.15

Answer:

George will choose some of each commodity but more y than x.

7 0

3 years ago

Solve for x and y. Then find the measure of each angle.

aliina [53]

Answer:

x= 42

y= 23

Step-by-step explanation:

Set up a system of equations like this:

(4y-9)=(3x-43)

(2x+13)=(4y+5)

when two lines cross like this they form vertical angles, and vertical angles are always equal.

calculate the system of equations and you'll get x=42 and y=23

To find the measure of any of the angles just put x or y into the equation.

5 0

3 years ago

Aaron wants to make a path to guide guest through the conservation area.He uses rolls of rope to make the path.He uses 3/4 of a

mel-nik [20]

Answer:

Aaron needs 2 more rolls to complete the path.

Step-by-step explanation:

Given:

Total rolls Aaron has = 4

Part of path covered by using $\frac{3}{4}$ of a roll = $\frac{1}{8}$

So, in order to find the number of rolls required to cover the complete path is given using the unitary method.

Rolls used for $\frac{1}{8}$ of a path = $\frac{3}{4}$

Therefore, rolls used to cover the whole path is given by dividing the rolls used for one-eighth of the path and the path covered. This gives,

$=\frac{3}{4}\div \frac{1}{8}$

$=\frac{3}{4}\times \frac{8}{1}$

$=\frac{3\times 8}{4\times 1}$

$=\frac{24}{4}$

$=6\ rolls$

Now, rolls required to complete the path is 6. But Aaron has only 4 rolls.

So, he will need 6 - 4 = 2 rolls more to complete the path.

5 0

3 years ago

The nth term of a sequence is 2n-1.

damaskus [11]

Answer: 25, 31 and 37

Step-by-step explanation:

(2n-1)= 19, 21, 23, 25, 27, 29, 31, 33, 35, 37

(3n+1)= 19, 22, 25, 28, 31, 34, 37,

5 0

3 years ago

Y=x^2+bx+c;(-2,3)

Maksim231197 [3]

<h3>Answer: b = 4 and c = 7.</h3>

===============================================

Explanation:

Comparing y = x^2+bx+c to y = ax^2+bx+c, we see that a = 1.

The vertex given is (-2,3). In general, the vertex is (h,k). So h = -2 and k = 3.

Plug those three values into the vertex form below

y = a(x-h)^2 + k

y = 1(x-(-2))^2 + 3

y = (x+2)^2 + 3

Then expand everything out and simplify

y = x^2+4x+4 + 3

y = x^2+4x+7

We see that b = 4 and c = 7.

8 0

3 years ago