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3 years ago

Please help me with this problem, and can you also show steps. thank you

Mathematics

2 answers:

Hatshy [7]3 years ago

8 0

((-8 2/5)/(-4 1/10))*(-1/2)
(-(8*5+2)/5)/(-(4*10+1)/10)*(-1/2)
(-(42/5))/(-(41/10))*(-1/2)
((42/5)/(41/10))*(-1/2)
((42/5)*(10/41))*(-1/2)
((42*10)/(5*41))*(-1/2)
((420)/(205))*(-1/2)
(84/41)*(-1/2)
-((84*1)/(41*2))
-((84)/(82))
=-(42/41)
=-42/41
=-1 1/41

Maurinko [17]3 years ago

7 0

Convert all the improper fractions into mixed numbers, then simplify. Then, you do the operations.

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A relative asked her aunt that lives in a certain part of the US to send her some money for food expenses in Canada. Her aunt se

scZoUnD [109]

Answer:

$6250

Step-by-step explanation:

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3 years ago

PLEASE HELPPPP ! to maintain her income susan must work 50 hours each week susan works 7 hrs on monday tuesday and wednesday and

kykrilka [37]

Answer:

Step-by-step explanation:

We need to know how many hours left she needs to work, not how many weeks because it is for one week. It is not money because her requirment is not about how much money you make per week. It is also not jobs because in the requirements, there is nothing that talks about jobs.

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3 years ago

Log_(5)(x-4)=1-log_(5)(x-8)

hjlf

Answer:

x = 3, x = 9

Step-by-step explanation:

When solving this problem, keep the general format of a logarithm in mind:

$b^x=y\\log_b(y)=x$

Where, (b) represents the base, (x) is the exponent, and (y) is the evalutaor. Please note that others might use slightly different terminotoly than what is used in this answer.

One is given the following expression, and is asked to solve for the parameter (x);

$log_5(x-4)=1-log_5(x-8)$

First, manipulate the exquestion such that all of the logarithmic expressions are on one side. Use inverse operations to do this.

$(log_5(x-4))+(log_5(x-8))=1$

Now use the Logarithmic Base Change rule to simplify. The Logarithmic Base Change rule states the following;

$log_b(x)=\frac{log(x)}{log(b)}$

Remember, if no base is indicated in a logarithm, then the logarithm's base is (10). Apply the Logarithmic Base Change rule to this problem;

$\frac{log(x-4)}{log(5)}+\frac{log(x-8)}{log(5)}=1$

Now remove the denominator. Multiply all terms in the equation by the least common denominator; ( $log(5)$ ) to remove it from the denominator on the left side.

$(\frac{log(x-4)}{log(5)}+\frac{log(x-8)}{log(5)}=1)*(log(5))$

$log(x-4)+log(x-8)=log(5)$

All logarithms have the same base, the left side of the equation has the addition of logarithms. This means that one can apply the Logarithm product rule. The logarithm product rules the following;

$log_b(x*y)=(log_b(x))+(log_b(y))$

This rule can be applied in reverse to simplify the left side of the equation. Rather than rewriting the product of logarithms as two separate logarithms being added, one can rewrite it as one logarithm getting multiplied.

$log(x-4)+log(x-8)=log(5)$

$log((x-4)(x-8))=log(5)$

Now used inverse operations to bring all of the terms onto one side of the equation:

$log((x-4)(x-8))=log(5)$

$log((x-4)(x-8))-log(5)=0$

Similar to the Logarithm product rule, the Logarithm quotient rule states the following;

$log_b(x/y)=(log_b(x))-(log_b(y))$

One can apply this rule in reverse here to simplify the logarithms on the left side:

$log((x-4)(x-8))-log(5)=0$

$log(\frac{(x-4)(x-8)}{5})=0$

The final step in solving this equation is to use the Logarithm of (1) property. This property states the following:

$log_b(1)=0$

When applying this property here, one can conclude that the evaluator must be equal to (1), therefore, the following statements can be made.

$log(\frac{(x-4)(x-8)}{5})=0$

$\frac{(x-4)(x-8)}{5}=1$

Inverse operations,

$\frac{(x-4)(x-8)}{5}=1$

$(x-4)(x-8)=5$

$(x-4)(x-8)-5=0$

Simplify,

$(x-4)(x-8)-5=0$

$x^2-12x+32-5=0$

$x^2-12x+27=0$

Factor, rewrite the quadratic expression as the product of two linear expressions, such that when the linear expressions are multiplied, the result is the quadratic expression:

$x^2-12x+27=0$

$(x-3)(x-9)=0$

Now use the zero product property to solve. The zero product property states that any number times (0) equals (0).

$x=3,x=9$

7 0

3 years ago

Read 2 more answers

18. A store sells two different kinds of rulers, plastic and wood. The receipts show that they have sold 35 total rulers today.

kvv77 [185]

Answer:

12 wooden rulers

23 plastic rulers

Step-by-step explanation:

Total rulers sold - 35

Total profit - $82

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1 plastic ruler - $2

$3 x 12 = $36

$2 x 23 = $46

$46 + $36 = $82

12 + 23 = 35 rulers

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3 years ago

Ratio of A and B's age = 6:5<br> A's age = 18<br> Find out b's age<br> pls fast!!

Murljashka [212]

Answer: I am pretty sure its 15 for Bs age!

Step-by-step explanation: All I did is find the equivalent ratio!

5 x 3 is 15 and 6 x 3 is 18

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3 years ago