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iren2701 [21]
3 years ago
9

the following sequence is an arithmetic sequence.you are now shown very many terms of this sequence,but you are shown enough to

fill in the missing number.what number goes in the blank? 14, _,56 ...?
Mathematics
1 answer:
aivan3 [116]3 years ago
8 0

because it is arithmetic not geometric 14,x,56 An = An-1 + d x = 14 +d --> d = x-14 56 = x +d --> d = 56-x By substitution x-14 = 56-x 2x = 70 x = 35 the sequence is 14,35,56

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it cost $35 for one adult and two children to attend a show. It cost $60 for two adults and three children to attend the same sh
N76 [4]
Assume that,
adult = x
child = y

x+2y = 35 (1st equation)
2x+3y = 60 (2nd equation)
x = 35-2y (3rd equation)

Substitute 3 into 2 :

2(35-2y) + 3y =60
70-4y +3y = 60
y = 10

x+2y = 35
x+2(10) =35
x +20 =35
x = 15

One adult = $15


7 0
3 years ago
Solve i + j + t (3i - j) = -i + s (j)<br> In the context of Vector Equations of a Line
Oksana_A [137]

Answer:

r = i + j + (-2/3)(3i - j)

Step-by-step explanation:

Vector Equation of a line - r = a + kb ; where r is the resultant vector of adding vector a and vector b and k is a constant

if a = i + j ; b = t(3i - j) and r = -i +s(j)

for this to be true all the vector components must be equal

summing i 's

i + 3ti  = -i; then t = -2/3

j - tj = sj; then s = 1-t; substitue t; s=1+2/3 = 5/3

so r = i + j + (-2/3)(3i - j) which will symplify to -i + 5/3j

3 0
2 years ago
Find the number of faces, edges, and vertices of this shape.​
sattari [20]
Faces: 7

Edges: 12

Vertices: 7
3 0
3 years ago
Read 2 more answers
15 cm<br>12 cm<br>7 cm find area​
mestny [16]

Answer:

1260cm^2

Step-by-step explanation:

15 times 12 = 180

180 times 7 = 1260

3 0
3 years ago
Read 2 more answers
Simplify the expression:<br> -18/2+ 9 x 6<br> A.)63<br> B.)63<br> C.)45<br> D.)45
Liula [17]

Answer: =9x^6−9

Step-by-step explanation:

Let's simplify step-by-step.

−18/2+9x^6

=−9+9x^6

6 0
2 years ago
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