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IgorC [24]
3 years ago
9

Vera took 10 tests over a time of 5 weeks. After 9 weeks this quarter, how many tests will Vera have taken?

Mathematics
2 answers:
seropon [69]3 years ago
5 0

Answer:

18

Step-by-step explanation:

18

10 tests     =   x tests

/ 5 weeks =   / 9 weeks

10* 9= x5

90/5=  18

Gnesinka [82]3 years ago
4 0

Answer:

18 tests

Step-by-step explanation:

Create a proportion where x is the number of tests after 9 weeks:

\frac{10}{5} = \frac{x}{9}

Cross multiply and solve for x:

5x = 90

x = 18

So, after 9 weeks, Vera will have taken 18 tests

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Find a basis for the orthogonal complement of the subspace of R4 spanned by the vectors. v1 = (1, 4, -5, 3), v2 = (4, 15, 0, 5),
Arlecino [84]

Answer:

W1 =  ( -75, 20, 1 , 0 )

W2 = ( 25, -7 , 0, 1 )

Step-by-step explanation:

attached  below is the remaining part of the solution

for a homogenous system of equation ; Ax = 0

x1 + 4x2 -5x3 + 3x4 = 0

-x2 + 20x3 -7x4 = 0         note: x3 and x4 are free variables

we can take x3 = 0 and x4 = 1 , hence ; x2 = -7

∴ x1 - 28 + 3 = 0 = x1 = 25

W2 = ( x1 ,x2, x3, x4 ) = ( 25, -7 , 0, 1 )

now lets take x3 = 1  and x4 = 0   hence x2 = 20 , x1 = -75

∴ W1 =  ( x1 , x2 , x3, x4 ) = ( -75, 20, 1 , 0 )

7 0
3 years ago
The product of two positive integers us 2005. F neither integer is 1, what is the sum of the two integers?
Brums [2.3K]

Answer:

406

Step-by-step explanation:

Given: product of two positive integers us 2005.

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Now prime factorization of 2005 = 401×5

where both 401 and 5 are prime number and non of them is 1.

So, and b will be 401 and 5 respectively.

Therefore, sum of the two integers a+b = 401+5 = 406

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Answer:

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The sign only changes when you multiply or divide both sides of an inequality by a negative number.

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-2/5
Step by Step :
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algol13

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Just took the test and this was the correct answer

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