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Olenka [21]
3 years ago
6

Write and evaluate an expression for: Music lessons cost $20 a week. How much do 6 weeks of lessons cost?

Mathematics
2 answers:
givi [52]3 years ago
7 0

Answer:

$120 dollars.

Step-by-step explanation:

LuckyWell [14K]3 years ago
3 0

Answer:

x= $120/ 6 weeks

Step-by-step explanation:

if $20 is 1 week then...:

weeks.......1            6

               -----    =    ----

dollars........20         x

x= $120/ 6 weeks

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Find the fifth term of a sequence whose first term is 8 and common ratio is 3/2
Arlecino [84]

Answer:

Option c. 81/2

Step-by-step explanation:

Fifth term: a5=?

First term: a1=8

Common ratio: r=3/2

an=a1*r^(n-1)

with n=5

a5=a1*r^(5-1)

a5=a1*r^4

Replacing the known values:

a5=8*(3/2)^4

a5=8*(3)^4/(2)^4

a5=8*81/16

Simplifying: Dividing the numerator and denominator by 8:

a5=(8*81/8)/(16/8)

a5=81/2

Answer: Option c. 81/2

3 0
3 years ago
A miner has 8 diamonds. He has 48 workers. Explain how each worker can get a piece of the diamonds.
Dmitrij [34]

Answer:

The worker can get a piece of the diamonds using 48÷8 which it is 6.

Step-by-step explanation:

I hope that it is what you're looking for. I hope this helps

6 0
3 years ago
Estimation: Maria and Connor are doing yard work for a neighbor. They make a total of ​$597.56. Since Connor works more hours th
FromTheMoon [43]
Connor made (in whole) $484.0236 moolahs
6 0
3 years ago
A is an m×n matrix.Check the true statements below:A. The kernel of a linear transformation is a vector space.B. If the equation
Bess [88]

Answer:

Results are (1) True. (2) False. (3) False. (4) True. (5) True. (6) True.

Step-by-step explanation:

Given A is an m\times n matrix.  Let T :U\to V  be the corresponding linear transformationover the field F and \theta be identity vector in V. Now if x\in Ker( T)\implies T(x)=\theta.

(1) The kernel of a linear transformation is a vector space : True.

Let x,y\in Ker( T), then,

T(x+y)=T(x)+T(y)=\theta+\theta=\theta\impies x+y\in Ker( T)

hence the kernel is closed under addition.

Let \lambda\in F, x\in Ker( T), then

T(\lambda x)=\lambda T(x)=\lambda\times \theta=\theta

\lambda x\in Ker(T) and thus Ket(T) is closed under multiplication

Finally, fore all vectors u\in U,

T(\theta)=T(\theta+(-\theta))=T(\theta)+T(-\theta)=T(\theta)-T(\theta)=\theta

\implies \theta\in Ker(T)

Thus Ker(T) is a subspace.

(2) If the equation Ax=b is consistent, then Col(A) is \mathbb R^m : False

if the equation Ax=b is consistent, then Col(A) must be consistent for all b.

(3) The null space of an mxn matrix is in \mathbb R^m

: False

The null space that is dimension of solution space of an m x n matrix is always in \mathbb R^n.

(4) The column space of A is the range of the mapping x\to Ax

: True.

(5) Col(A) is the set of all vectors that can be written as Ax for some x. : True.

Here Ax will give a linear combination of column of A as a weights of x.

(6) The null space of A is the solution set of the equation Ax=0.

: True

5 0
3 years ago
Divide. Write your answer as a fraction or mixed number in simplest form. -4/5 divided by 16/15
ale4655 [162]

Answer:

-0.75

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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