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Inessa [10]
3 years ago
13

Sian is twice as old as her sister Abigail. They divide 30 pounds in the ratio of their ages. How much do Sian and Abigail recei

ve?
Mathematics
1 answer:
KonstantinChe [14]3 years ago
3 0

Answer:

Sian would receive 20 Pounds while Abigail would receive 10 Pounds.

Step-by-step explanation:

Given that Sian is twice as old as her sister Abigail, it means that if Abigail's age is T years then Sian's age would be 2T years.

If they divide 30 pounds in the ratio of their ages, the ratio of their ages will be

T : 2T (Ratio of Abigail's gae to Sian's age)

The amount received by Abigail

= T/(T + 2T) × 30

= T/3T × 30

= 1/3 × 30

= 10 Pounds

The amount received by Sian

= 2T/(T + 2T) × 30

= 2T/3T × 30

= 2/3 × 30

= 20 Pounds

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5 0
3 years ago
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A runner compared how long it took him to run 200 meters to the record time held by a friend. In his first heat, his time was 2.
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Answer: it took him 0.075 seconds lesser

Step-by-step explanation:

In his first heat, his time was 2.45 seconds greater than his friend's record time. In his second heat, his time was 2 3/8 seconds greater than his friend's record time. Converting 2 3/8 seconds to decimal, it becomes 2.375 seconds

Therefore, he was fastest in the second heat.

The difference between the time he used to run in the second heat than in the first heat is

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3 years ago
What effect does "a" have on the parent function y=1/x
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If  0 < a < 1→y =a/x, the 2 branches are equally stretched downward and upward about the center O.
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7 0
3 years ago
L thought that maybe it was *C* but I just want to be sure of my answer
ioda
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Hope this helps !

Photon
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3 years ago
Suppose A is an invertible n×n matrix and v is an eigenvector of A with associated eigenvalue 4. Convince yourself that v is an
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The eigenvector of matrix A4 is 4096.

The eigenvalue of the matrix A-1 is 1/8.

(A+4I) has an eigenvalue of 12.

40 is the eigenvalue of 5Av.

The collection of scalar values known as the eigenvalues of a matrix are connected to the set of linear equations that are most likely contained within the matrix equations.

The eigenvectors are also known as the characteristic roots.

If the matrix A's eigen vector v is linked to an eigen value.

Av then equals lamda v.

The fact that v is an eigen vector of A with the value eight is assumed.

hence, Av = 8v.

We must determine the eigenvalue of A4.

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As a result, the eigenvalue of A4 is 4096.

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It is calculated that the eigenvalue of (A+4I) is (A +4In)v = Av + 4v = 8v + 4v =12v.

(A+4I) has an eigenvalue of 12.

The value of 5Av's eigenvalue is 5Av = 5*8v = 40v.

40 is the eigenvalue of 5Av.

Learn more about the eigen vectors here:

brainly.com/question/15423383

#SPJ4

7 0
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