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bezimeni [28]
2 years ago
10

Ben's dad is making a large pot of pasta sauce that calls for 3.5 kilograms of tomatoes. If he triples the amount of tomatoes fo

r the recipe, how many grams of tomatoes will he use? Enter your answer in the box.
Mathematics
1 answer:
maria [59]2 years ago
7 0

Answer: 10,500 gm

Step-by-step explanation:

Given

Pasta requires 3.5 kg of tomatoes

we know, 1\ kg=1000\ mL

If the amount is triples, the quantity of tomatoes is 3\times 3.5=10.5\ kg

\Rightarrow 10.5\ kg\equiv 10.5\times 1000=10,500\ gm

Thus, he uses 10,500 gm of tomatoes

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The​ cost, in​ dollars, of producing x belts is given by Upper C (x )equals 970 plus 12 x minus 0.076 x squared. The​ revenue, i
umka21 [38]

Answer:

$68.44 for each additional belt

Step-by-step explanation:

The cost and revenue functions are:

C(x) = 970+12x - 0.076x^2\\R(x) =43x^{\frac{3}{4}}

The profit function, P(x), is given by subtracting the cost function from the revenue function.

P(x) = R(x) - C(x)\\P(x)=43x^{\frac{3}{4}}+0.076x^2-12x-970\\

The derivate of the profit function gives us the rate at which profit changes:

\frac{dP(x)}{dx} =P'(x)=32.25x^{\frac{-1}{4}}+0.152x-12\\

For x = 484, the rate of change is:

P'(484)=32.25*484^{\frac{-1}{4}}+0.152*484-12\\P'(484) = \$68.44/belt

Profit is increasing by $68.44 for each additional belt

3 0
3 years ago
Wich number is the principal square root of 49
myrzilka [38]
A principle square root of a real number that's not negative, such as 49, is the square root of that number that is not negative.

If you take the square root of 49, you get either -7 or 7, since both 7^{2} and (-7)^{2} equal 49. However, the principle square root would be A) 7, since it's not negative.
3 0
3 years ago
What is the value of X?
Serhud [2]

Answer:

the answer to the problem is 35.

3 0
3 years ago
Read 2 more answers
a job offer with a starting salary with $ 35,600 and a guaranteed raise of $ 1200 per year for the next 5 years. what is the tot
ra1l [238]
He'll make $41,600 by the sixth year
6 0
3 years ago
This is from Iready can someone help?
mart [117]

Answer:

2t-7

Step-by-step explanation:

distribute the 2, to the t and the -4

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then you add the 1 to the -8 and you get -7

resulting in 2t-7 being the answer

6 0
3 years ago
Read 2 more answers
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