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kondor19780726 [428]
3 years ago
14

Yuma needs a singer. Singer A is offering her services for an initial $55 in addition to $20 per hour. Singer B is offering his

services for an initial $85 in addition to $5 per hour. When will the two singers charge the same amount of money? The two singers will charge the same amount of money after :blank: hours.What is the answer to the blank.
Mathematics
1 answer:
Yuki888 [10]3 years ago
7 0
Equation for Singer A: 55 + 20x
Equation for Singer B: 85 + 5x

Make the two equations equal to each other and solve for x.

55 + 20x = 85 + 5x
20x - 5x = 85 - 55
15x = 30
x = 30/15 = 2 hours.

Answer:
At 2 hours both singers will charge the same amount of price.

Answer Check:
Singer A Cost: 55 + 20 (2 hours) = $ 95
Singer B Cost: 85 + 5 (2 hours) = $ 95
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Răspuns:

a) OC = 18cm

b) MN = 6cm

Explicație pas cu pas:

Găsiți diagrama la întrebarea atașată.

a) Din diagramă se poate observa că OC = OA + AB + AC

OC = 2n + 2n + 2 + 2n + 4

OC = 6n + 6

Următorul este să obțineți valoarea lui n:

OM = OA + AM

Să obținem segmentul AM;

Deoarece M este segmentul mijlociu al AC, atunci;

AM = AC / 2

AM = AB + BC / 2

AM = 2n + 2 + 2n + 4/2

AM = 4n + 6/2

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Prin urmare, lungimea segmentului OC este de 18 cm

b) Această întrebare ne cere să găsim segmentul de linie MN.

Din diagramă, MN = AM - AN

Deoarece AM = 2n + 3 din întrebarea 1;

AM = 2 (2) +3

AM = 4 + 3

AM = 7

Acum, să obținem AN:

Din diagramă, AN = ON-OA și ON = OB / 2

AN = OB / 2 - OA

AN = (2n + 2n + 2) / 2 - 2n

AN = 4n + 2/2 - 2n

AN = 2n + 1 - 2n

AN = 2n-2n + 1

AN = 1

De la MN = AM - AN

MN = 7 - 1

MN = 6cm

Prin urmare, distanța dintre N, mijlocul segmentului OB și punctul M este de 6cm

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