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Nataliya [291]
3 years ago
12

Select the correct answer.

Mathematics
1 answer:
zzz [600]3 years ago
6 0

Answer

A.  'y = -3x + 29`

Step by step explanation

The given information are slope (m) = -3 and passes through the point (7, 8)

Let's use the slope-intercept form y = mx + b

Here m = -3, plug in the value in the slope-intercept form.


y = -3x + b which is passes through point (7, 8)

To find the slope intercept, plug in x = 7 and y = 8 in the above equation, we get

8 = -3(7) + b

b = 8 + 21

b = 29

Now we got m = -3 and b = 29

Therefore, the required equation y = -3x + 29

Thank you. :)

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Dominik [7]

Answer:

Please look at the image

From the info 2 jars with 106 sprinkles each, we know 1 jar would have 53 sprinkles.

1 jar has 53 sprinkles.

6 jars have 318 sprinkles because:

6 × 53 = 318

13 jars have 689 sprinkles because:

13 × 53 = 689

5 0
3 years ago
victor are 60 de lei si merge la florarie pentru a-i cumpara mamei sale un buchet de flori. daca ar cumpara 9 garoafe si 4 trand
Alja [10]

Answer:

Număr de trandafiri = x = 5 trandafiri

Numărul este garoafe = y = 8 garoafe

Step-by-step explanation:

Pasul 1

Să reprezentăm:

Costul garoafelor = c

Costul trandafirilor = r

Victor are 60 de lei și merge la florărie să-i cumpere mamei sale un buchet de flori.

Dacă ar cumpăra 9 garoafe și 4 trandafiri, ar plăti 47 de lei.

Prin urmare,

9c + 4r = 47 ..... Ecuația 1

Dacă ar cumpăra doar trandafiri, toți banii ar fi suficienți pentru 12 bucăți.

Prin urmare,

12 trandafiri = 60 lei

1 trandafir = r lei

Cross Multiply

12r = 60 lei

r = 60 lei / 12

r = 5 lei

1 trandafir costă 5 lei

Înlocuim 5 cu r în ecuația 1

9c + 4 × 5 = 47

9c + 20 = 47

Colectează ca termeni

9c = 47 - 20

9c = 27

c = 27/9

c = 3 lei

Costul unei garoafe este de 3 lei

Pasul 2

Dar cumpără 13 flori (garoafe și trandafiri) și rămâne cu 5 lei rămași,

60 lei - 5 lei = 55 lei

Asta înseamnă că a cheltuit 55 de lei pe 13 flori.

Lasă

Număr de trandafiri = x

Numărul este garoafe = y

x + y = 13 ......... Ecuația 1

x = 13 - y

Din moment ce, Costul unei garoafe = 3 lei și 1 trandafir = 5 lei

3x + 5y = 55 ...... Ecuația 2

Înlocuim 13 - y cu x în ecuația 2

3x + 5y = 55

3 (13 - y) + 5y = 55

39 - 3y + 5y = 55

Colectează ca termeni

- 3y + 5y = 55 - 39

2y = 16

y = 16/2

y = 8

Rezolvarea pentru x

x = 13 - y

x = 13 - 8

x = 5

Prin urmare:

Număr de trandafiri = x = 5 trandafiri

Numărul este garoafe = y = 8 garoafe

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I’ve provided both the answer and explanation below! Hope this helps :)

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