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Oksanka [162]
3 years ago
7

Shen's chocolate bar is 67% cocoa. If the weight of the chocolate bar is 59 grams, how many grams of cocoa does it contain? Roun

d your answer to the nearest tenth.
Mathematics
1 answer:
Marianna [84]3 years ago
8 0

Answer:

Step-by-step explanation:

Shen's chocolate bar is 67% cocoa. If the weight of the chocolate bar is 59 grams, how many grams of cocoa does it contain? Round your answer to the nearest tenth.

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Which function is equivalent to F(x)=-4(x+7)^2-6?
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\huge\mathfrak\orange{answer}

Simplify this quadratic function given in vertex form into standard form by simplifying the exponents and adding like terms.

f(x) = \red{-4(x+7)^2 - 6}

f(x) = -4(x^2 + 14x + 49) - 6

f(x) = -4x² - 64x - 196 - 6

\underline{f(x) = -4x² - 64x - 202}

(good luck :) and mark me brainliest if you're satisfied with my answer)

7 0
3 years ago
The population of a city in 2005 was 15,000. By 2015, the city's population had grown to 45,000 people. Assuming that the popula
Ede4ka [16]

Answer:

The population of the city in the year 2025 will be 85,000.

Step-by-step explanation:

The population of the city in year 2005 = 15,000

The population of the city in the year 2015  = 45,000

⇒ The change in population in 10 years

= Population in year 2015 - Population in the year 2005

= 45,000  - 15, 000

= 30,000

⇒ The change in population in 10 years  = 30,000

Now, the population in the year 2015 = 45, 000

Let us assume the number of population in the year 2025 = m

Here, according to the question:

Since, the CHANGE OF RATE is a linear growth since 2005.

⇒ The change in population in each 10 years  = 30,000

⇒ The change in population in next 10 years

  = Population in year 2025 - Population in the year 2015

or, 30, 000 = m - 45, 000

⇒ m = 30,000 + 45,000 = 85,000

or, m = 85,000

Hence, the population of the city in the year 2025 will be 85,000.

3 0
3 years ago
What is 14 hours in 2 weeks as a unit rate?
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Given that the points (-1, 5) and (2, 1) are vertices of a rectangle with sides parallel to the axes, how much longer is the len
Norma-Jean [14]

Answer:

Correct choice is A

Step-by-step explanation:

Two vertices of the rectangle have coordinates A(-1, 5) and B(2, 1). If rectangle sides are parallel to the axes, then two remaining vertices have coordinates C(-1,1) and D(2,5) (see attached diagram for details).

Find the length and the width:

AC=\sqrt{(-1-(-1))^2+(5-1)^2}=4\ units,\\ \\AD=\sqrt{(2-(-1))^2+(5-5)^2}=3\ units.

Then the length is 1 unit longer than the width.

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