A college is selling tickets to the annual battle of the bands competition. On the first day

Jacinta buys 4 pounds of turkey and 2 pounds of ham. She pays a total of $30, and the turkey costs $1.50 less per pound than the

marissa [1.9K]

Given

jacinta buys 4 pounds of turkey and 2 pounds of ham & pays a total of $30, turkey costs $1.50 less per pound than the ham.

find out the combined cost of 1 pound of turkey and 1 pound of ham

To proof

As given in the question

jacinta buys 4 pounds of turkey and 2 pounds of ham

total pay by jacinta = $30

let us assume that the price of the ham = x

as given in the question

turkey costs $1.50 less per pound than the ham

turkey costs becomes = x - 1.50

then the equation becomes

30 = 4 (x - 1.50) + 2x

30 = 4x + 2x - 6

36 = 6x

x = 6

thus

ham cost per pound = $6

turkey cost per pound = 6 - 1.50

= $ 4.5

Now find out

cost of 1 pound of turkey + 1 pound of ham = $ 6 + $ 4.5

= $ 10.5

Hence proved

5 0

2 years ago

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Alliance Cannery has two assembly lines. One produces 24 cans of fruit per minute; the other produces 64 cans of vegetables per

sergey [27]

Let
x----------------------- > number of <span>cans of fruit-----------------> 24 per minute
</span>y----------------------- > number of cans of vegetables-------> 64 per minute
<span>z----------------------- > number of cans of food per minute
t----------------------- > time in minutes

z=(x+y)*t
z=(24+64)*t--------------- > 88t
z=88t---------------------------------- > this is the equation required
we know that z=384
then
</span>384=88t------------- > t=4.36 minutes

5 0

2 years ago

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Alejandro surveyed his classmates to determine who has ever gone surfing and who has ever gone snowboarding. Let A be the event

Gekata [30.6K]

Answer:

$\text{A and B are independent events}, P(A|B)=P(A)=0.16$

Step-by-step explanation:

First of all we need to know when does two events become independent:

For the two events to be independent, $P(A|B)=P(A)$ that is if condition on one does not effect the probability of other event.

Here, in our case the only option that satisfies the condition for the events to be independent is $P(A|B)=P(A)=0.16$ . Rest are not in accordance with the definition of independent events.

4 0

2 years ago

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The Golden Braid Bookstore currently has $340,000 in cash, $280,000 in inventory, and $40,000 in accounts receivable. The compan

Ivenika [448]

Answer:

The quick ratio is 4.75:1.

Step-by-step explanation:

From the given information it is clear that:

Cash = $340,000

Inventory = $280,000

Accounts receivable = $40,000

Accounts payable = $65000

Other current liabilities = $15000

Formula for quick ratio:

$\text{Quick ratio}=\frac{\text{Cash + Current receivables + short-term investment}}{\text{Current Liabilities}}$

Substitute Cash = 340000, Current receivables=40000, Current Liabilities= (65000+15000).

$\text{Quick ratio}=\frac{340000+40000}{65000+15000}$

$\text{Quick ratio}=4.75$

Therefore the quick ratio is 4.75:1.

8 0

2 years ago

Hank invested a total of $20,000, part at 7% and part at 10%. How much did he invest at each rate if the total interest earned i

jolli1 [7]

Answer:

The amount invested at 7% is $12,000 while the amount invested at 10% is $8,000

Step-by-step explanation:

The given parameters are;

The total amount Hank invested = $20,000

The interest earned in one year = $1640

Hank invested part of the $20,000 at 7% interest and part of the $20,000 at 10%

Let the part invested at 7% = X and the part invested at 10% = Y, we have;

7% of X + 10% of Y = $1640 which gives;

0.07×X + 0.1×Y = $1640.....................(1)

X + Y = $20,000.................................(2)

Multiply equation (1) by 10 and subtract equation (1) from equation (2) to get;

X + Y - 10×(0.07×X + 0.1×Y) = $20,000 - 10×$1640

X - 0.7·X - Y - Y = $20,000 - $16,400 = $3,600

0.3·X = $3,600

X = $3,600/0.3 = $12,000

X = $12,000

Y = $20,000 - X = $20,000 - $12,000 = $8,000

Y = $8,000

Therefore, the amount invested at 7% = $12,000 and the amount invested at 10% = $8,000.

7 0

2 years ago

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