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3 years ago

One bag of rice that weighs 4.5 pounds will have enough rice if a recipe calls for 60 ounces of rice. (1 pound = 16 ounces)

Mathematics

1 answer:

krek1111 [17]3 years ago

8 0

the bag of rice weighs 4.5 pounds

Multiply 4.5 with 16 oz (as 1 lb = 16 oz)

4.5 x 16 = 72.

The bag of rice has 72 oz of rice inside.

The recipe only needs 60 oz of rice ∴ True, you will have enough, with 12 oz left over.

hope this helps

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Timmy and Ben shared a bag of marbles. Timmy had 3/4 of what Ben had. When Ben gave 36 marbles to Timmy, Ben had 1/3 of what Tim

Svetllana [295]

Let $t$ be the inital number of Timmy's marbles, and $b$ be the inital number of Ben's marbles.

At the beginning, "Timmy had 3/4 of what Ben had", which means

$t = \cfrac{3}{4}b \iff 4t=3b$

(I wrote the equation in an equivalent form to avoid denominators)

Then, Ben gives 36 marbles to Timmy. So, now Ben has $b-36$ marbles, and Timmy has $t+36$ marbles. The new ratio is 1 to 3 in Timmy's favour, so we have

$b-36 = \cfrac{t+36}{3} \iff 3(b-36) = t+36 \iff 3b-108 = t+36$

(same as before)

So, we have the following linear system:

$\begin{cases}4t=3b\\3b-108=t+36\end{cases}$

From the first equation we know that $3b=4t$ , so the second equation becomes

$4t-108=t+36 \iff 3t = 144 \iff t = \cfrac{144}{3} = 48$

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$3b = 4\times 48 = 192 \iff b=\cfrac{192}{3} = 64$

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3 years ago

Mika can eat 21 hot dogs in 66 minutes. She wants to know how many minutes it would take her to eat 35 hot dogs if she can keep

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Answer:

110 minutes

Step-by-step explanation:

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3 years ago

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3 years ago

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3 years ago

Compute the total and annual return on the following investment Two years after paying 53500 for shares in a startup company you

wel

Answer:

-46.91%

Step-by-step explanation:

Given:

Cost of buying the shares = $53,500

Selling cost of the shares = $3,300

Number of years = 2

Since the selling cost is less than the buying cost, therefore the statement for the loss can be verified

Now,

The loss = Selling cost - cost of buying = $3,300 - $53,500 = - $50,200

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Rate of return = -46.91%

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3 years ago