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BigorU [14]
3 years ago
15

The standard form of the equation that represents the number of quarters, q, and the number of dimes, d, that Austin has in his

piggy bank is 5q + 2d = 270. Explain what the intercepts mean in terms of the context and how to find them.
Mathematics
2 answers:
vazorg [7]3 years ago
8 0

The standard form of the equation that represents the number of quarters, q, and the number of dimes, d, that Austin has in his piggy bank is 5q + 2d = 270. This can be change to slope intercept form to see the clearer picture. By dividing the whole equation by 2, so the equation become d= -2.5q + 135.

<span>This means that Austin has initially 135 dimes in his piggy bank and he is losing 2.5 dimes per quater</span>

Mice21 [21]3 years ago
6 0

Answer:

Sample response:  To find one intercept, let d = 0 in the equation and solve for q. To find the other intercept, let q = 0 in the equation and solve for d. The intercepts mean that the bank could be filled with 54 quarters and no dimes, or 135 dimes and no quarters.

Step-by-step explanation:

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Write the ratio 2.5 to 3.15 as a fraction in simplest form
Nuetrik [128]
The left  figure  that  is  2.5 is  taken   as   numerator while  the  right  figure   that  is 3.15 is  take  as  denominator.
therefore the  fraction  is
                2.5/3.15
  the multiply  by   a  100  to  remove  the  decimals  to  give
           250/315
 in  simplest  form the  fraction  is  divided  by  5 to give
            50/63
8 0
3 years ago
3. Mateus recebe a visita do seu avô Pedro a cada 15 dias. João, o tio dele, o visita a cada 100
maxonik [38]

Answer:

Este acontecimento se repetirá 300 dias depois.

Step-by-step explanation:

Quando os eventos se repetirão no mesmo dia?

Cada evento tem uma frequência.

Eles ocorrem simultaneamente a cada x dias, e x é dado pelo MMC(Mínimo Múltiplico Comum) entre as frequência.

Neste problema:

A cada 15 dias o avô visita.

A cada 100 dias o tio visita.

A cada 12 dias vai à praia.

Quantos dias depois este acontecimento se repetirá?​

Os três no mesmo dia vão se repetir após x dias, em que x é dado pelo MMC de 15, 100 e 12

MMC de 15, 100 e 12

Fatorando simultâneamente estes valores:

15 - 100 - 12|2

15 - 50 - 6|2

15 - 25 - 3|3

5 - 25 - 1|5

1 - 5 - 1|5

1 - 1 - 1

Então:

mmc(15,100,12) = 2*2*3*5*5 = 300

Este acontecimento se repetirá 300 dias depois.

3 0
3 years ago
Rewrite each equation in standard form. <br><br> 4 and 5 only
nekit [7.7K]

Answer:

4) 2=4x-3y

5) 51=21x-3y

Step-by-step explanation:

I gave it my best shot, I used fraction busters to cancel out the fractions and then I used simple math and distributive property. Hope it helps.

7 0
2 years ago
Can someone help me with this one? it's due today at 9pm and I really don't know it!!! ​
Feliz [49]

Answer:

Radius: 7.5 cm  ;  Diameter: 15 cm

Step-by-step explanation:

The radius of a circle is basically the middle "halfway" point and in this case, it has already been given, 7.5 cm. The diameter is the middle line of the circle and to find the diameter, you must multiply the radius by 2, which is essentially 7.5 cm*2, and this gives you a diameter of 15 cm.

Hope this helps! :D

6 0
1 year ago
Nathan ordered one cheeseburger and one bag of chips for 3.75 jack ordered two cheeseburgers and three bags of chips for 8.25 kn
Elan Coil [88]

Answer:

cheeseburger is $3 and chips is $0.75

Step-by-step explanation:

Let price of cheeseburger be x while price of a bag of chips be y hence for the case of Nathan, we can write the equation as x+y=3.75. Similarly, for Jack, we can write it as 2x+3y=8.25

x+y=3.75 hence x=3.75-y and substituting this into the second equation we have

2x+3y=8.25

2(3.75-y)+3y=8.25

7.5-2y+3y=8.25

y=8.25-7.5=0.75

x=3.75-y=3.75-0.75=3

Therefore, price of cheeseburger is $3 and chips is $0.75

7 0
3 years ago
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