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Oksi-84 [34.3K]
3 years ago
9

Genie is making cookies and brownies. Each cookie uses 8 grams of flour and each brownie uses 12 grams of flour. She wants to ma

ke more than 125 cookies and brownies altogether. If Genie has a total of 2,000 grams of flour, which system of inequalities models correctly the number of cookies, c, and brownies, b, she can make? ) C+b> 125 A) 8c + 12b s 2000 c+b2 125 8c + 12b s 2000 B) c+b< 125 C) 8c + 12b s 2000 c+bs 125 D) 8c + 12b s 2000
Mathematics
1 answer:
Nikolay [14]3 years ago
8 0

The system of inequalities models correctly the number of cookies is c + b ≥ 125 and 8c + 12b ≤ 2000

Let c represent the number of cookies and let b represent the number of brownies.

Since Genie want to make more than 125 cookies and brownies altogether, hence this is given by:

c + b ≥ 125   (1)

Also, Genie has a total of 2,000 grams of flour, hence:

8c + 12b ≤ 2000  (2)

Therefore the system of inequalities models correctly the number of cookies is c + b ≥ 125 and 8c + 12b ≤ 2000

Find out more at: brainly.com/question/15137133?referrer=searchResults

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x=1/2

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A clothing designer had 173.4 meters of fabric to make identical sweaters, of all the same size. If each sweater used 3 meters o
s344n2d4d5 [400]

57 sweaters can be made from 173.4 meters of fabric

Step-by-step explanation:

Given,

Total fabric available = 173.4 meters

Fabric used for one sweater = 3 meters

Let,

x be the number of sweaters.

Fabric used for one sweater * Number of sweaters ≤ Total fabric available

3x\leq 173.4

Dividing both sides by 3

\frac{3x}{3}\leq \frac{173.4}{3}\\x\leq 57.8

57 sweaters can be made from 173.4 meters of fabric

Keywords: inequality, division

Learn more about inequalities at:

  • brainly.com/question/12499016
  • brainly.com/question/12501490

#LearnwithBrainly

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The answer to this question is x=3
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3 years ago
15 POINTS! PLEASE HELP!
notka56 [123]

Answer:

DC = 1332.95 feet

Step-by-step explanation:

From the figure attached,

Let the measure of DC = h ft

And measure of side BC = a ft

By applying tangent ratio in ΔBCD,

tan(56°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

             = \frac{DC}{BC}

             = \frac{h}{a}

h = a[tan(56°)] --------(1)

By applying tangent rule in ΔACD,

tan(22°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

tan(22°) = \frac{DC}{BC+AC}

             = \frac{h}{a+2400}

h = (a + 2400)tan(22°) ------- (2)

Equating the values of h from equations (1) and (2),

a[tan(56°)] = (a + 2400)tan(22°)

a[tan(56°) - tan(22°)] = 2400[tan(22°)]

1.0785a = 968.6629

a = 899.085 ft

From equation (1),

h = 899.085[tan(56°)]

h = 1332.948

h ≈  1332.95 ft

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On a number line, 0.2 would be locate. Choose all answers that make a true statement.
satela [25.4K]

Answer:

A. between o.1 and o.3

Step-by-step explanation:

Between 1 and 3, there's 2.

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