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3 years ago

The bakers at Healthy Bakery can make 240 bagels in 10 hours.

Mathematics

2 answers:

NemiM [27]3 years ago

7 0

Answer is 24, 240 bagels devided by the hours, is 24 bagels

eduard3 years ago

3 0

Answer:

30

Step-by-step explanation:

Minus 240 by 200

240 - 200 = 40

Then, minus 10

40 - 10 = 30

30/hour

Hope this helps :)

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The point A, with coordinates (0,a,b) lies on the line l1, which has equation:

Luda [366]

a) The solution of the system is: (λ, a, b) = (- 5, - 11, - 26).

b) The coordinates of the point P are (x, y, z) = (- 16 / 3, - 43, 152 / 3).

c) Vectors AP and PB are collinear for their ends lie on the line. The ratio AP : PB is 83.248 : 73.491 (1.133 : 1).

<h3>How to analyze a line equation in vector form</h3>

a) In this problem we have a equation of the line in vector form, whose form is:

r = (5, 19, - 1) + λ · (1, 6, - 5)

Now we find the value of λ for the case r = (0, a, b):

(0, a, b) = (5, 19, - 1) + λ · (1, 6, - 5)

5 + λ = 0

19 + 6 · λ = a

- 1 + 5 · λ = b

The solution of the system is: (λ, a, b) = (- 5, - 11, - 26).

b) Then, the following condition must be fulfilled:

OP • PB = 0

(5 + λ, 19 + 6 · λ, - 1 + 5 · λ) • [(4, 13, 4) - (5 + λ, 19 + 6 · λ, - 1 - 5 · λ)] = 0

(5 + λ, 19 + 6 · λ, - 1 + 5 · λ) • (- 1 - λ, - 6 - 6 · λ, 5 + 5 · λ) = 0

(5 + λ) · (- 1 - λ) + (19 + 6 · λ) · (- 6 - 6 · λ) + (- 1 + 5 · λ) · (5 + 5 · λ) = 0

- (5 + λ) · (1 + λ) - 6 · (19 + 6 · λ) · (1 + λ) + 5 · (- 1 + 5 · λ) · (1 + λ) = 0

- (5 + 6 · λ + λ²) - 6 · (19 + 25 · λ + 6 · λ²) + 5 · (- 1 + 4 · λ + 5 · λ²) = 0

- 5 - 6 · λ - λ² - 114 - 150 · λ - 36 · λ² - 5 + 20 · λ + 25 · λ² = 0

- 12 · λ² - 136 · λ - 124 = 0

There are two solutions: λ₁ = - 1, λ₂ = - 31 / 3, whose points P are:

r₁ = (5, 19, - 1) + (- 1) · (1, 6, - 5)

r₁ = (4, 13, 4)

r₂ = (5, 19, - 1) + (- 31 / 3) · (1, 6, - 5)

r₂ = (- 16 / 3, - 43, 152 / 3)

Then, the coordinates of the point P are (x, y, z) = (- 16 / 3, - 43, 152 / 3).

c) Vectors AP and PB are collinear for their ends lie on the line. The ratio can be found by using the magnitudes of each vector:

Vector AP

AP = (- 16 / 3, - 43, 152 / 3) - (0, - 11, - 26)

AP = (- 16 / 3, - 32, 230 / 3)

AP = √(AP • AP)

AP ≈ 83.248

Vector PB

PB = (4, 13, 4) - (- 16 / 3, - 43, 152 / 3)

PB = (28 / 3, 56, - 140 / 3)

PB = √(PB • PB)

PB ≈ 73.491

The ratio AP : PB is 83.248 : 73.491 (1.133 : 1).

To learn more on lines: brainly.com/question/17188072

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2 years ago

A family plans to have the hardwood floors in their square dining room re-finished, and new baseboards installed. The cost of re

Alexus [3.1K]

Answer:

Dimension of room = 18 foot x 18 foot

Step-by-step explanation:

Let the square room is of side a foot,

The cost of re-finishing the hardwood floors is $2.25 per square foot and the cost of purchasing and installing the new baseboards $14.5 per linear foot

Total cost is $1773.

Cost for re-finishing the hardwood floors = Area x 2.25

Area = a²

Cost for re-finishing the hardwood floors = 2.25 a²

Cost of purchasing and installing the new baseboards = Perimeter x 14.5

Perimeter = 4a

Cost of purchasing and installing the new baseboards = 4a x 14.5 = 58 a

Total cost = Cost for re-finishing the hardwood floors + Cost of purchasing and installing the new baseboards

1773 = 2.25 a² + 58a

2.25 a² + 58a - 1773 = 0

a = 18 or a = -43.77(not possible)

Dimension of room = 18 foot x 18 foot

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4 years ago

Find (g*f)(3) f(x)=|x+2| g(x)=-x^2 a. -25 b. 1 c. d. -15

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$(g\cdot f)(x)=g(x)\cdot f(x)\\\\f(x)=|x+2|,\ g(x)=-x^2\\\\(g\cdot f)(3)=g(3)\cdot f(3)\\\\\text{Put the value of x = 3 to the equations of a functions:}\\\\f(3)=|3+2|=|5|=5\\\\g(3)=-3^2=-9\\\\(g\cdot f)(3)=(-9)(5)=-45\\\\Answer:\ \boxed{-45}$

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3 years ago

Johnny wants to know how many students in his school enjoy watching science programs on TV he posted this question to all 26 stu

Dvinal [7]

Yes Johhny is making a valid inference because he settled his inferences based on the votes.

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3 years ago

Tammy is on her way home in her car. She has driven 18 miles so far, which is two-thirds of the way home. What is the total leng

Kamila [148]

Answer:

Step-by-step explanation:

1/3 is 9 miles or if you don't know multiply 18 by 3/2 and it will result in a whole which gets you your destination miles.

18 times 3/2

27 miles

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3 years ago