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3 years ago

34x - 18 = 10x - 9 solve for x

Mathematics

2 answers:

siniylev [52]3 years ago

6 0

Answer:

x = (9/24)

Step-by-step explanation:

Step one: Subtract 10x from both sides.

24x - 18 = -9

Step 2: Add 18 to both sides.

24x = 9

Step 3: Divide it all by 24.

x = (9/24)

Troyanec [42]3 years ago

5 0

Hello there! Your answer would be x = 9/24.

You want to isolate x, and get everything on the other side of the equation.

Let's start by subtracting 10x from both sides. This will cancel it out on the right side, so our x values are only on the left side.

34x-10x - 18 = 10x-10x - 9

24x - 18 = - 9

Next, you want to add 18 to both sides so the x values are on their own side.

24x - 18+18 = - 9+18

24x = 9

Now our last step is to divide both sides by 24 to finish isolating x.

24/24x = 9/24

x = 9/24

The equation is already simplified, so we don't need to simplify any further. I hope this helps and have a great day!

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under a dilation, the point (2,6) is moved to (6,18) what is the scale factor of the dilation? enter your answer in the box

Anestetic [448]

Step-by-step explanation:

The equation of line passing through the two points is $\frac{y-y_{1} }{x-x_{1} }=\frac{y_{2} -y_{1}}{x_{2} -x_{1}}$

When substituted,the equation becomes $\frac{y-6}{x-2}=\frac{18-6}{6-2}$

which when simplified is $y=3\times x$

The line clearly passes through origin.

The distance between two points is $\sqrt{(y_{1}-y_{2} )^{2}+(x_{1}- x_{2} )^{2}}$

Distance between origin and $(2,6)$ is $\sqrt{40}$ .

Distance between origin and $(6,18)$ is $\sqrt{360}$

Scale factor is $\frac{distance\text{ }of\text{ }p_{2}\text{ from origin}}{distance \text{ } of \text{ } p_{1}\text{ from origin}}$

So,scale factor is $\frac{\sqrt{360} }{\sqrt{40} }$

which when simplified becomes 3.

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3 years ago

PLEASE HELP ASAP, Major points Geometry

gavmur [86]

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3 years ago

Doss [256]

Answer:

The proportion of children in this age range between 70 lbs and 85 lbs is of 0.9306.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

A study suggested that children between the ages of 6 and 11 in the US have an average weightof 74 lbs, with a standard deviation of 2.7 lbs.

This means that $\mu = 74, \sigma = 2.7$

What proportion of childrenin this age range between 70 lbs and 85 lbs.

This is the pvalue of Z when X = 85 subtracted by the pvalue of Z when X = 70. So

X = 85

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{85 - 74}{2.7}$

$Z = 4.07$

$Z = 4.07$ has a pvalue of 1

X = 70

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{70 - 74}{2.7}$

$Z = -1.48$

$Z = -1.48$ has a pvalue of 0.0694

1 - 0.0694 = 0.9306

The proportion of children in this age range between 70 lbs and 85 lbs is of 0.9306.

7 0

3 years ago

The numerator and denominator of a fraction are in the ratio of 3 to 5. If the numerator and denominator are both increased by 2

ivolga24 [154]

Question:

The numerator and denominator of a fraction are in the ratio of 3 to 5. If the numerator and denominator are both decreased by 2, the fraction is now equal to $\frac{1}{2}$ .