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gizmo_the_mogwai [7]
2 years ago
14

You had $50. You spent 10% of the money on clothes, 20% on games, and the rest on books. How much money was spent on books? Reme

mber-what does OF mean?
Mathematics
2 answers:
bixtya [17]2 years ago
5 0

Answer:

$35

Step-by-step explanation:

10% + 20% = 30%

You spent 30% of the $50 clothes and games.

You spent the rest on books.

100% - 30% = 70%

You spend 70% on books.

70% of $50 = 0.70 × $50 = $35

Answer: $35

Brums [2.3K]2 years ago
3 0

Answer:

35

Step-by-step explanation:

x/50=70/10 cross multiply and then divide 3500 by 100 which equals 35 which would be $35 which is 70% of $50

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Use distributive property to solve, show all steps <br> 3(2x-6)
zlopas [31]

Answer:

6x-18

Step-by-step explanation:

First we multiply everything in the parentheses by 3

3×2x=6x

3×(-6)=-18

And now we put it together-

6x-18

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2 years ago
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Which of the following quadratic solutions has the following solution
castortr0y [4]

Answer:

The first and second one

Step-by-step explanation:

plug in x :)

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3 years ago
Which equation has x = –6 as the solution?
olya-2409 [2.1K]

Answer:

The equation 'log Subscript 3 Baseline (negative 2 x minus 3) = 2' i.e. \log _3\left(-2x-3\right)=2  has x = –6 as the solution.

Step-by-step explanation:

<u>Checking the equation</u>

log Subscript 3 Baseline (negative 2 x minus 3) = 2

Writing in algebraic expression

\log _3\left(-2x-3\right)=2

Use the logarithmic definition

\mathrm{If}\:\log _a\left(b\right)=c\:\mathrm{then}\:b=a^c

\log _3\left(-2x-3\right)=2\quad \Rightarrow \quad \:-2x-3=3^2

-2x-3=3^2

-2x-3=9

-2x=12

\mathrm{Divide\:both\:sides\:by\:}-2

\frac{-2x}{-2}=\frac{12}{-2}

x=-6

Therefore, the equation 'log Subscript 3 Baseline (negative 2 x minus 3) = 2' i.e. \log _3\left(-2x-3\right)=2  has x = –6 as the solution.

3 0
3 years ago
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Which expression is equivalent to the expression 3^7x3^-4
kykrilka [37]

Answer:

3^7 * 3^(-4) = 3^(7 - 4) = 3^3 = 27

5 0
3 years ago
A counselor records the number of disagreements (per session) among couples during group counseling sessions. If the number of d
Shalnov [3]

Answer:

P(X>4)=P(\frac{X-\mu}{\sigma}>\frac{4-\mu}{\sigma})=P(Z>\frac{4-4.4}{0.4})=P(z>-1)

And we can find this probability with the complement rule:

P(z>-1)=1-P(z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the disagreements of a population, and for this case we know the distribution for X is given by:

X \sim N(4.4,0.4)  

Where \mu=4.4 and \sigma=0.4

We are interested on this probability

P(X>4)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>4)=P(\frac{X-\mu}{\sigma}>\frac{4-\mu}{\sigma})=P(Z>\frac{4-4.4}{0.4})=P(z>-1)

And we can find this probability with the complement rule:

P(z>-1)=1-P(z

3 0
3 years ago
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