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andreev551
3 months ago
12

Jasmine bought 1.3 pounds of ham and 0.8 pounds of cheese from the deli and paid $11.28. She went back the following week and bo

ught 1.5 pounds of ham and 1.2 pounds of cheese and paid $14.76. If the prices remained the same, find the price per pound of ham and cheese using the elimination method
Mathematics
1 answer:
lawyer [12.5K]3 months ago
5 0
Let

x
represent the cost per pound of ham
y represent the cost per pound of cheese

<span>1.3x + 0.8y = 11.28....(1)
1.5x + 1.2y = 14.76....(2)

Now, let's multiply equation (1) by -1.2
...and multiply equation (2) by 0.8

Then we obtain -1.56x - 0.96y = -13.536.....(3)
</span>...and 1.2x + 0.96y = 11.808.....(4)


Adding (3) and (4) results in

-0.36x = -1.728............> x = 4.8

Substituting x back into (1)

1.3(4.8) + 0.8y = 11.28

y = 6.3

Cost per pound of ham = x = 4.8
Cost per pound of cheese = y = 6.3
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The provided values are

$85 $240 $120 $60 $315 $190 $145 $105 $285 $260 $95 $215 $235 $175 $155

To start, we will arrange these in ascending order

resulting in

$60 $85 $95  $105  $120  $145 $155 $175 $190 $215 $235 $240 $260 $285 $315

The total count is 15

the position of 105 is 4

Now, we can calculate the percentile

=\frac{4}{15} *100

Thus, the percentile for the bid of $105 is 26.667%...........Response

7 0
2 months ago
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A bike wheel is 26 inches in diameter. What is the bike wheel's diameter in millimeters (1 inch = 25.4 millimeters)?
zzz [12365]

Answer:

The wheel's diameter in millimeters is 660.4

Step-by-step explanation:

The diameter of the wheel is 26 inches

as given

1 inch equals 25.4 millimeters

Multiplying both sides by 26

26 inches = 26*25.4 millimeters

=>26 inches = 660.4 mm.

Thus, the diameter of the wheel in millimeters is 660.4

3 0
3 months ago
After years of maintaining a steady population of 32,000, the population of a town begins to grow exponentially. After 1 year an
Inessa [12570]

Answer:

y=32000(1+0.08)^x

Step-by-step explanation:

The exponential growth formula is y=a(1+r)^x

Where 'a' signifies the initial population

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maintaining a constant population of 32,000. Thus, the initial population is 32,000

with an annual increase of 8%. The growth rate is 8%, equivalent to 0.08

a = 32000 and r = 0.08

Now, substituting all the values into the general formula

y=a(1+r)^x

y=32000(1+0.08)^x

y=32000(1+0.08)^x

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3 months ago
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Five out of eight birds that visited the feeder ate the birdseed. If 60 ate the birdseed today, how many birds visited the feede
zzz [12365]

Answer:

96.

Step-by-step explanation:

Multiplica cruzado y divide para hallar la respuesta.

5/8 = 60/?

8 x 60 = 480.

480 / 5 = 96.

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3 months ago
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