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lutik1710 [3]
3 years ago
7

A single ticket to the magic show costs ttt dollars, but there is a discount of 5\%5%5, percent per ticket if a group buys 10101

0 tickets. The expression 10t-10\cdot 0.05t10t−10⋅0.05t10, t, minus, 10, dot, 0, point, 05, t describes the total cost of buying 101010 tickets for a group. Match each amount in the situation with the expression that represents it. Situation Expression

Mathematics
2 answers:
valentina_108 [34]3 years ago
6 0

Answer: 10 t -0.5 t is the total cost of the ticket for the group of 10 people after getting discount.

Where 10 t is the initial cost of ticket without discount and 0.5 t is the total discount.

Step-by-step explanation:

Here, t represents the cost of one ticket.

Therefore, For 10 person the cost of the ticket = 10 t

And, According to the question, there is a discount of 5% percent per ticket if a group buys 10 tickets.

Thus, the discount for the group of ten people = 5% of 10 t = 0.5 t

The the total cost for the group of ten people after getting the discount = 10 t - 0.5 t



Nikolay [14]3 years ago
4 0

the answer is below.....

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Help please <br><br>number 9, 10
ira [324]

Answer:

#9, G = (-8,-10)

#10, distance = √122 = 11.0453610171

midpoint = (7/2,7/2)


Step-by-step explanation:

#9: We don't need no stinkin' diagrams!!


midpoint M=(-6,-3)

endpoint H=(-4,4)

displacement vector D from H to M:

D = (M-H) = (-6 - -4, -3 - 4) = (-2,-7)


Check: start at endpoint H, move along displacement vector D, should bring you to M.

H + D = (-4,4)+(-2,-7)

= (-4-2,4-7) = (-6,-3) = M ✔


Adding D to endpoint H gets to midpoint M. Adding 2D to H will reach the other endpoint, G.

G = H + 2D = (-4,4)+2×(-2,-7)

= (-4-2×2,4-2×7) = (-8,-10)


Check: Subtracting D from G should bring you back to M.

G-D = (-8,-10) - (-2,-7)

= (-8 - -2, -10 - -7)

= (-6,-3) = M ✔


#10 distance between P and Q, and midpoint of segment PQ:


P=(3,-2) Q=(4,9)

displacement vector D from P to Q:

D = Q - P = (4 - 3, 9 - -2) = (1,11)


so that adding D to P gives Q:

D + P = (1+3,11-2) = (4,9) ✔


Distance between two points is square root of dot product of displacement vector with itself:

d = √(D dot D) = √((1,11)dot(1,11))

= √(1×1+11×11) = √122 = 11.0453610171


Midpoint M is P + D/2, start at P and move half way to Q,

M = (3,-2)+(1,11)/2

= (3+1/2,-2+11/2)

= (7/2,7/2)

Start at M, move D/2 brings you to Q,

M + D/2 = (7/2+7/2) + (1/2,11/2)

= (8/2,18/2) = (4,9) = Q ✔


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