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GarryVolchara [31]
3 years ago
5

A baker can bake 8 dozen cookies in 20 minutes. At this rate, how many minutes will it take to make 30 dozen cookies?

Mathematics
1 answer:
Viktor [21]3 years ago
4 0
It would take about an hour and 20 minutes to make 30 dozen cookies.
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Let u,v,wu,v,w be three linearly independent vectors in R7R7. Determine a value of kk, k=k= , so that the set S={u−3v,v−2w,w−ku}
11Alexandr11 [23.1K]

Answer:

1/6

Step-by-step explanation:

For a set of vectors a, b and c to be linearly dependent, the linear combination of the set of vectors must be zero.

C1a + C2b + C3c = 0

From the question, we are given the set S={u−3v,v−2w,w−ku}, the corresponding vectors are a(0, -3, 1), b(-2,1,0) and c(1,0,-k)

The values in parenthesis are the ccoefficients of w, v and u respectively.

On writing this vector as a linear combination, we will have;

C1(0, -3, 1) + C2(-2,1,0) + C3(1,0,-k) = (0,0,0)

0-2C2+C3 = 0........ 1

-3C1+C2 = 0 ........... 2

C1-kC3 = 0 ….......... 3

From equation 2, 3C1 = C2

Substituting into 1, -2(3C1)+C3 = 0

-6C1+C3 = 0

-6C1 = -C3

6C1 = C3.…..4

Substitute 4 into 3 to have

C1-k(6C1) = 0

C1 = k6C1

6k = 1

k = 1/6

Hence the value of k for the set of vectors to be linearly dependent is 1/6

6 0
3 years ago
The battery on McKenzies old computer can last 4(1/5) hours. She bought a new computer that has a battery that can last 40% long
Solnce55 [7]

Answer:

5\frac{22}{25}\ hours

Step-by-step explanation:

we know that

4\frac{1}{5}\ hours=\frac{4*5+1}{5}=\frac{21}{5}\ hours

100\%+40\%=140\%=\frac{140}{100}

Let

x ------> new battery life

The equation that represent this situation is

x=\frac{140}{100} (\frac{21}{5})=\frac{2,940}{500}\ hours

convert to mixed number

\frac{2,940}{500}=\frac{2,500}{500}+\frac{440}{500}=5\frac{22}{25}\ hours

4 0
3 years ago
Convert 95 pints to gallons. Round to one decimal place.
Serggg [28]
11.9 gallons. Hope I helped!
8 0
3 years ago
Pls help me!!! I don’t know the answer I will give u brainlyest if I get it correct
inna [77]

Answer:

C?

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
3 folders cost $2.91 dollar sign . Which equation would help determine the cost of 2 folders? WRITE THE LETTER IN THE SPACE BELO
Anna11 [10]

Answer:

$1.94

Step-by-step explanation:

Cost of 3 folders = $2.91

We need to find the cost of 2 folders.

First we will find the cost of 1 folder

1 folder = $2.91/3 = $0.97

To find the cost of 2 folders, multiply $0.97 and 2

2 folders = $0.97 × 2

= $1.94

Hence, the cost of 2 olders is $1.94.

3 0
2 years ago
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