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skelet666 [1.2K]

3 years ago

12

Henry had $22 and Ben had $17. Henry spent twice as much as Ben and was left with half as much as Ben. The amount of money that

Ben spent is $____.

1 answer:

Cloud [144]3 years ago

6 0

Answer:

Ben spent 9 dollars

Step-by-step explanation:

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Without using logarithm tables, find the value of x given that: 2log2/3 = 1/2logx - log 18 + log 16

sweet-ann [11.9K]

Answer:

$x=\frac{1}{4}$

Step-by-step explanation:

<u>Given:</u>

$2log(\frac{2}{3})=\frac{1}{2}log(x)-log(18)+log(16)$

<u>Use the Power Rule Law:</u>

$log(\frac{2}{3}^2)=log(x^{1/2})+log(16)-log(18)$

<u>Use the Quotient Rule Law:</u>

$log(\frac{4}{9})=log(\sqrt{x})+log(\frac{16}{18})$

<u>Use the Product Rule Law:</u>

$log(\frac{4}{9})=log(\frac{16\sqrt{x}}{18})$

<u>Simplify:</u>

$log(\frac{4}{9})=log(\frac{8\sqrt{x}}{9})$

$\frac{4}{9}=\frac{8\sqrt{x}}{9}$

$4=8\sqrt{x}$

$\frac{4}{8}=\sqrt{x}$

$\frac{1}{2}=\sqrt{x}$

$\frac{1}{4}=x$

5 0

2 years ago

What is the probability that the sun will not rise Tomorrow plz explain?

Luba_88 [7]

Answer:

the sun may rise or will not rise , so there are 2 chances

Step-by-step explanation:

so the probability is 1/2=0.5

6 0

3 years ago

What is thr inverse of f(x) if the function is x=-4,-2,0,2,4 f(x)=-2,-1,0,1,2

Lorico [155]

For a function, if it has an inverse function, keep in mind that, the "domain of the original, is the range of the inverse, and the range of the original, is the domain of the inverse", what the dickens does that mean?

well, it means the values for "x" and f(x), on the inverse, are the same values, but swapped up, therefore

$\bf \stackrel{original~function}{\begin{array}{ccll}
x&f(x)\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
-4&-2\\
-2&-1\\
0&0\\
2&1\\
4&2
\end{array}}\qquad \qquad \qquad 
\stackrel{inverse~function}{\begin{array}{ccll}
x&f(x)\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
-2&-4\\
-1&-2\\
0&0\\
1&2\\
2&4
\end{array}}$

7 0

3 years ago

Quadrilateral ABCD has 2 pairs of parallel sides, and perpendicular diagonals. What is the MOST SPECIFIC name for the quadrilate

Leokris [45]

Answer:

C - Rhombus

Step-by-step explanation:

A rhombus ALWAYS has perpendicular diagonals. A rhombus is just a parallelogram with four equal sides, so two of them have to be parallel, at least.

7 0

3 years ago

Read 2 more answers

3. A fisherman caught 6 bluegills and 4 bass. What is the ratio of the number of bass caught to the total number of fish caught?

quester [9]

The answer is 2 to 5

3 0

2 years ago