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skad [1K]
3 years ago
7

All the fudge machines at a chocolate factory work at the same rate. Six machines working simultaneously can complete a big orde

r in 22 hours.
a
How many hours would it take to fill the order if the number of working machines decreased by factor of 2?
Mathematics
1 answer:
madreJ [45]3 years ago
6 0

Answer:

11 hours

Step-by-step explanation:

The number of machines working in the factory = 6 machines

Decreasing it by a factor of 2 =

6 ÷ 2 = 3 machines.

Hence:

If 6 machines complete a big order = 22 hours

3 machines = x hours

Cross Multiply

6 machines × x hours = 22 hours × 3 machines

x hours = 22 hours × 3/6

= 66/6

x = 11 hours

Therefoee, it would take 11 hours to fill the order if the number of working machines decreased by factor of 2.

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What is the difference between a yard and a meter? give me the actual distance<br> difference in cm
valkas [14]

Answer:

The difference is 8.56 cm. ( the metre is longer than the yard).

Step-by-step explanation:

1 yard = 36 inches

= 36 * 2.54

= 91.44 cm

1 metre = 100 cm.

7 0
3 years ago
The area of a garden is (x² + 7x + 10)
strojnjashka [21]

Answer:

The dimensions are approximentaly 17.44.

Step-by-step explanation:

= x2 + 7x + 10

= 196 + 7x + 10

= 196 + 98 + 10

= 294 + 10

= 304 yards squared  

3 0
3 years ago
X^3+8 divided by x+2
Klio2033 [76]

Answer: x^2+4

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Calculate the side lengths a and b to two decimal places.
navik [9.2K]

Answer:

D. <em>a</em> = 11.71 and <em>b</em> = 15.56

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Trigonometry</u>

  • All angles in a triangle add up to 180°

<u>Pre-Calculus</u>

  • Law of Sines: \frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}

Step-by-step explanation:

<u>Step 1: Define</u>

AC = b

CB = a

AB = 7

m∠A = 45°

m∠B = 110°

m∠C = ?

<u>Step 2: Find missing ∠</u>

  1. Set up equation:                    m∠C + 45° + 110° = 180°
  2. Combine like terms:              m∠C + 115° = 180°
  3. Isolate unknown:                   m∠C = 25°

<u>Step 3: Find measure of </u><em><u>b</u></em>

  1. Substitute:                    \frac{sin(25)}{7} =\frac{sin(110)}{b}
  2. Cross-multiply:             bsin(25)=7sin(110)
  3. Isolate <em>b</em>:                       b=\frac{7sin(110)}{sin(25)}
  4. Evaluate:                       b=15.5645
  5. Round:                          b \approx 15.56

<u>Step 4: Find measure of </u><em><u>a</u></em>

  1. Substitute:                    \frac{sin(25)}{7} =\frac{sin(45)}{a}
  2. Cross-multiply:             asin(25)=7sin(45)
  3. Isolate <em>a</em>:                       a=\frac{7sin(45)}{sin(25)}
  4. Evaluate:                       a=11.7121
  5. Round:                          a \approx 11.71
6 0
3 years ago
Davon had 3/4 of a bag of popcorn. His friends are half of his popcorn. What fraction of the whole bag of popcorn did Davon's fr
Nikolay [14]
His friends ate 1/2 of 3/4..." of " means multiply
1/2 * 3/4 = 3/8 

so his friends ate 3/8 of the bag of popcorn
6 0
3 years ago
Read 2 more answers
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