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Olegator [25]
3 years ago
14

What is the expression for the apparent nth term of the following sequence:

Mathematics
1 answer:
disa [49]3 years ago
8 0
8/7 each side of the expression both go up by 1
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The expression is (10w^3)^2/5w equivalent to
Rasek [7]
The correct answer is:  3)  " <span>20w⁵ </span>" .
__________________________________________
Explanation:
_________________________________________

(10w³)²<span>/ (5w) =

[ 10</span>² * w⁽³*²)<span>  ] /  [5w] =

(100* w</span>⁶) / 5w =

(100/5) * w⁽⁶⁻¹⁾ = 

20 * w⁵ =

20w⁵ ;  which is: Answer choice:  3)  " <span>20w⁵ </span>" .
_____________________________________________________
3 0
3 years ago
X + y = 152,<br><br> 8.5x + 12y = 1,656<br><br> How many hats were sold?
Elodia [21]

Answer:

x = 48 and y = 104

Step-by-step explanation:

Given equations are:

x+y = 152\\8.5x+12y=1656

From equation 1:

x = 152-y

Putting the value of y in equation 2

8.5(152-y)+12y = 1656\\1292-8.5y+12y = 1656\\3.5y+1292 = 1656\\3.5y = 1656-1292\\3.5y = 364\\\frac{3.5y}{3.5} = \frac{364}{3.5}\\y = 104

Now we have to put the value of y in one of the equation to find the value of x

Putting y = 104 in the first equation

x+y = 152\\x+ 104 = 152\\x = 152-104\\x = 48

Hence,

The solution of the system of equations is x = 48 and y = 104

The value of variable which was assumed for number of hats, is the total number of hats.

6 0
2 years ago
Four triangles are shown. One side of each triangle lies on a ray, and the triangles are not drawn to scale. Based on these tria
S_A_V [24]

Answer:

A

Step-by-step explanation:

4 0
3 years ago
Gracie is shipping a cube shaped box. It measures 14in x 14in x 14in. What is the surface area of the box?
DanielleElmas [232]
14× 14 = 196 area of 1 of the squares. on a cube there are 6 squares so multiply 196 by 6

196 × 6 = 1176 sq in
8 0
3 years ago
Isosceles JAM has convex angle M. JM=35,MA=4n+3, angle J=14w-1, and angle m=98 Find n. Find w. Find the perimeter of JAM
Lena [83]

Answer:

n = 8, w = 3 and perimeter = 122.83 units.

Step-by-step explanation:

Let the angle M is the angle between the equal sides of isosceles JAM.

So, JM = MA

⇒ 35 = 4n + 3

⇒ 4n = 32

⇒ n = 8 (Answer)

Now, if ∠ J = 14w - 1 and ∠ M = 98°, then

2(14w - 1) + 98 = 180

⇒ 2(14w - 1) = 82

⇒ 14w - 1 = 41

⇒ w = 3 (Answer)

Now, draw a perpendicular bisector on JA from vertex M and it meets JA at P say.

So, Δ MPJ will be a right triangle with ∠ J = (14w - 1) = 41° {Since w = 3}

Hence, \cos 41 = \frac{JP}{JM} = \frac{JP}{35}

⇒ JP = 35 cos 41 = 26.415

So, JA = 2 × JP = 52.83  

So, the perimeter of Δ JAM is = 35 × 2 + 52.83 = 122.83 units (Answer)

4 0
3 years ago
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