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m_a_m_a [10]
3 years ago
13

Which algebraic expression is equivalent to the expression below 6 parentheses 2x + 7 parentheses -5

Mathematics
1 answer:
Inga [223]3 years ago
8 0
If I understand this, you have the equation 6(2x+7)-5. This is equal to 12x+37. Hope this helps.   
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A small juice company spends $1200 per day on business expenses plus $1.10 per bottle of juice them make. They charge $2.50 for
Greeley [361]
Cost price per bottle of juice = $1.10 
Selling price per bottle of juice = $2.50 
Profit per bottle of juice = $2.50 - $1.10 = $ 1.40 
Let B be the number of bottles needed to sell in one day in order to equal its daily costs. 
$1200 = $1.40B 
857.14285714285714 = B 
858 = B (round off to the nearest bottle) 

The company must sell 858 bottles of juice in one day in order to equal its daily cost. 

Hope this helps! =)


5 0
3 years ago
A regular octagonal pyramid. Each side of the base is 6 cm long. it has a height of 10cm. Find the surface area of the pyramid​
attashe74 [19]

9514 1404 393

Answer:

  470.16 cm²

Step-by-step explanation:

The apothem of the base is used for two purposes: to find the area of the base, and to find the slant height of each face.

The apothem of the base for side length s is ...

  s/2 = a·tan(π/8)

  a = s/(2·tan(π/8)) ≈ 7.24 cm

The slant height of a triangular face is found using the Pythagorean theorem. The apothem of the base and the height are legs of the right triangle whose hypotenuse is the slant height. For slant height x, we have ...

  x² = 10² + a² = 100 +52.46

  x ≈ √152.46 ≈ 12.35

__

The area of the 8 triangular faces will be ...

  A = 1/2Px . . . . where P is the perimeter of the pyramid

The area of the base will be ...

  A = 1/2Pa

So, the total surface area is ...

  A = 1/2P(a + x) = (1/2)(8)(6 cm)(7.24 +12.35 cm) ≈ 470.16 cm²

8 0
3 years ago
Read 2 more answers
F(-9)=7x+6 <br> what would the value of F(-9) be?
shusha [124]
Answer: -57
Hope it’s helps
4 0
1 year ago
Which equation represents a linear function? A) y = |x| B) y = x2 C) y = -3x3 D) y = 1 4 x
Step2247 [10]
Linear means the highest exponent on the placholder is 1
it is also just a straight line

y=|x| is like y=(√x)², it is 2 straight lines

B. y=x², exponent is 2 so no

C. y=-3x³, exponent is 3, so no

D. y=1/4x, yep


D is the answer
5 0
3 years ago
Read 2 more answers
20. Based on student records, 25% of the students at a large high school have a
Elenna [48]

Answer:

(E) 0.71

Step-by-step explanation:

Let's call A the event that a student has GPA of 3.5 or better, A' the event that a student has GPA lower than 3.5, B the event that a student is enrolled in at least one AP class and B' the event that a student is not taking any AP class.

So, the  probability that the student has a GPA lower than 3.5 and is not taking any AP  classes is calculated as:

P(A'∩B') = 1 - P(A∪B)

it means that the students that have a GPA lower than 3.5 and are not taking any AP  classes are the complement of the students that have a GPA of 3.5 of better or are enrolled in at least one AP class.

Therefore, P(A∪B) is equal to:

P(A∪B) = P(A) + P(B) - P(A∩B)

Where the probability P(A) that a student has GPA of 3.5 or better is 0.25, the probability P(B) that a student is enrolled in at least one AP class is 0.16 and the probability P(A∩B) that a student has a GPA of 3.5 or better and is enrolled  in at least one AP class is 0.12

So, P(A∪B) is equal to:

P(A∪B) = P(A) + P(B) - P(A∩B)

P(A∪B) = 0.25 + 0.16 - 0.12

P(A∪B) = 0.29

Finally, P(A'∩B') is equal to:

P(A'∩B') = 1 - P(A∪B)

P(A'∩B') = 1 - 0.29

P(A'∩B') = 0.71

5 0
3 years ago
Read 2 more answers
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