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natta225 [31]
3 years ago
15

Mrs. Jackson bought 2/3 pound of bananas at $.51 per pound, 1 1/4 pounds of peaches for $2.00 per pound, 1/2 gallon of orange ju

ice for $4.50, and 2 loaves of bread for $3.19 each. How much did she spend in all?
Mathematics
2 answers:
Aleks04 [339]3 years ago
6 0

Answer:

$11.47

Step-by-step explanation:

In order to calculate Mrs.Jackson's total we first need to turn the fractions into decimals by simply dividing the numerator by the denominators like so...

2/3 = 0.66

1 1/4 = 1.25

1/2 = 0.50

Now we need to multiply each products cost by the amount they bought in decimal form, then finally add them all together...

($0.51 * 0.66) + ($2 * 1.25) + ($4.50 * 0.50) + ($3.19 * 2) = x

0.34 + 2.5 + 2.25 + 6.38 = x

$11.47 = x

Finally, we can see that Mrs. Jackson's total was $11.47

vekshin13 years ago
6 0

Answer:

The total expense is $13.72

Step-by-step explanation:

You knowMrs. Jackson bought 2/3 pound of bananas at $.51 per pound, 1 1/4 pounds of peaches for $2.00 per pound, 1/2 gallon of orange juice for $4.50, and 2 loaves of bread for $3.19 each.

To calculate the total expense, you must first know the amount spent by Mrs. Jackson for each item. This is done by multiplying the quantity of each item purchased by the unit price of each. So:

  • Bananas: \frac{2}{3} pounds*$0.51 per pound= $0.34
  • Peaches: 1\frac{1}{4} pounds*$2 per pound= $2.5
  • Orange juice: $4.50
  • Bread: 2 loaves*$3.19 per loave= $6.38

Adding these amounts: 0.34 + 2.5 + 4.5 + 6.38 it is obtained that <u><em>the total expense is $13.72</em></u>

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Answer: fourth option

\frac{1}{4} 4^{x-1}-4

Explanation:

1) the pair x = 3 f(x) = 0, leads you to probe this:

f(3) = 0 = A [4 ^ (3 - 1) ] + C = 0

=> A [4^2] = - C

A[16] = - C

if A = 1/4

16 / 4 = 4 => C = - 4

That leads you to the function f(x) = [1/4] 4 ^( x - 1) - 4

2) Now you verify the images for that function for all the x-values of the table:

x = 2 => f(2) + [1/4] 4 ^ (2 - 1) - 4 = [1/4] 4 - 4 = 4 / 4 - 4 = 1 - 4 = - 3 => check

x = 3 => f(3) = [1/4] 4^ (3 - 1) - 4 = [1/4] 4^2 - 4 = 16 / 4 - 4 = 4 - 4 = 0 => check

x = 4 -> f(4) = [1/4] 4^ (4-1) - 4 = [1/4] 4^(3) - 4 = (4^3) / 4 - 4 = 4^2 - 4 = 16 - 4 = 12 => check.

Therefore, you have proved that the answer is the fourth option.
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4 years ago
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Answer:

(x-7)^2+(y-1)^2=100

Step-by-step explanation:

<u>1) Find the radius</u>

We can do this by using the distance equation with the centre (7,1) and the given point (-1,-5):

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d=\sqrt{(-1-7)^2+(-5-1)^2}\\d=\sqrt{(-8)^2+(-6)^2}\\d=\sqrt{64+36}\\d=\sqrt{100}\\d=10

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Plug in the centre (7,1) as (h,k)

(x-7)^2+(y-1)^2=r^2

Plug in the radius 10

(x-7)^2+(y-1)^2=10^2\\(x-7)^2+(y-1)^2=100

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