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laila [671]
3 years ago
14

Find the equivalent expression using the same basis (34•84)^3

Mathematics
2 answers:
vichka [17]3 years ago
7 0

Answer:

(2)^9•(3)^3•(7)^3•(17)^3

Step-by-step explanation:

(34•84)^3

=(34)^3•(84)^3

=(2•17)^3•(2•2•3•7)^3

=(2)^3•(17)^3•(2)^3•(2)^3•(3)^3•(7)^3

=(2)^(3+3+3)•(17)^3•(3)^3•(7)^3

=(2)^9•(3)^3•(7)^3•(17)^3

Alexandra [31]3 years ago
4 0

Answer:

The answer is 2^9•3^3•7^3•17^3

Step-by-step explanation:

First, we simplify the expression inside bracket

34•84

= (2•17)•(2•42)

= (2•17)•(2•2•21)

= (2•17)•(2•2•3•7)

= 2^3•3•7•17

Substituting back

(34•84)^3

= (2^3•3•7•17)^3

= 2^9•3^3•7^3•17^3

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Answer:

Step-by-step explanation:

There is a missing operator in the second equation.

If the equation is 4x - 8y = 4, then the system is dependent. The second equation is a non-zero multiple of the first.

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3 years ago
Katie has a 75% chance of making an A on a test. What is the probability that she will not make an A on her next two test: Algeb
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I am pretty sure it's B 6.25% but I'm not exactly sure
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marta [7]

Answer:

Answer B (proportional)

Step-by-step explanation:

The variable y and x are related by the constant of proportionality "6" in the expression

y = 6 x

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y is proportional to x via the proportionality constant (it has to be always a multiplicative constant) "6"

6 0
3 years ago
Coach Rivas can spend up to $750 on 30 swimsuits for the swim team. The inequality shown can be used to find the maximum amount
777dan777 [17]

Answer:

$0 < p ≤ $25

Step-by-step explanation:

We know that coach Rivas can spend up to $750 on 30 swimsuits.

This means that the maximum cost that the coach can afford to pay is $750, then if the cost for the 30 swimsuits is C, we have the inequality:

C ≤ $750

Now, if each swimsuit costs p, then 30 of them costs 30 times p, then the cost of the swimsuits is:

C = 30*p

Then we have the inequality:

30*p ≤ $750.

To find the possible values of p, we just need to isolate p in one side of the inequality.

So we can divide both sides by 30 to get:

(30*p)/30 ≤ $750/30

p ≤ $25

And we also should add the restriction:

$0 < p ≤ $25

Because a swimsuit can not cost 0 dollars or less than that.

Then the inequality that represents the possible values of p is:

$0 < p ≤ $25

6 0
3 years ago
Bryce tried to solve an equation step by step. \qquad\begin{aligned} \dfrac83&amp;=3\left(c+\dfrac53\right)\\\\ \\ \dfrac83&amp;
sesenic [268]

Answer:

Bryce is wrong in step 1 because he did not distribute 3 over 5/3

Explanation

Given the steps taken by bryce as shown, we are to find where he made an error

\qquad\begin{aligned} \dfrac83&=3\left(c+\dfrac53\right)\\\\ \\ \dfrac83&=3c+\dfrac53&\green{\text{Step } 1}\\\\ \\ 1&=3c&\blue{\text{Step } 2}\\\\ \\ \dfrac13&=c&\purple{\text{Step } 3}\\\\ \end{aligned}

Given the expression;

\dfrac83&=3\left(c+\dfrac53\right)\\\\ \\

Step 1:Expand the bracket using the distributive law;

8/3 = 3c + 3(5/3)

<em>Simplify</em>

8/3 = 3c + 15/3

Step 2: Subtract 15/3 from both sides

8/3 - 15/3 = 3c+15/3-15/3

(8-15)/3 = 3c

-7/3 = 3c

Step 3: Multiply both sides by 1/3

-7/3 * 1/3 = 3c * 1/3

-7/9 = c

Swap

c = -7/9

From the calculation, we can see that Bryce is wrong in step 1 because he did not distribute 3 over 5/3 thereby making his solution incorrect

3 0
3 years ago
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