For a class picnic, two teachers went to the same store to purchase drinks. One

100 POINTS!!Help me organize this!!!

vova2212 [387]

Step-by-step explanation:

7x + 3x - 18 = 6(x + 3) === Given
10x - 18 = 6(x + 3) === Combine Like Terms === 7x + 3
10x - 18 = 6x + 18 === Distributive Property === 6(x + 3)
10x - 18 - 6x = 18 === Subtraction Property of Equality === -6x both sides
4x - 18 = 18 === Combine Like Terms === 10x - 6x
4x = 18 + 18 === Addition Property of Equality === +18 both sides
4x = 36 === Combine Like terms === 18 + 18
x = 36 / 4 === Division Property of Equality === /4 both sides
x = 9 === combine like terms??

That doesn't use the multiplication property but that's all of the rest of them.

4 0

3 years ago

A dividing integers word problem

Elanso [62]

Answer:

Im guessing you mean to do a word problem so here it goes!

Step-by-step explanation:

Susana had 35 blocks. She gives puts 5 blocks in each container she had. How many containers did Susana have?

4 0

3 years ago

List all the possible results that are divisible by 3.

love history [14]

Step-by-step explanation:

3, 6, 9, 12, 15,18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93,96,99

5 0

3 years ago

Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 17. Use the empirical rule

-BARSIC- [3]

Answer:

(a) 95% of people have an IQ score between 66 and 134.

(b) 32% of people have an IQ score of less than 83 or greater than 117.

(c) 16% of people have an IQ score greater than 117.

Step-by-step explanation:

We are given that scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 17.

Let X = scores of an IQ test

SO, X ~ Normal( $\mu=100, \sigma^{2} = 17^{2}$ )

The z-score probability distribution for the normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

Now, the empirical rule states that;

68% of the data values lie within 1 standard deviation from the mean.

95% of the data values lie within 2 standard deviations from the mean.

99.7% of the data values lie within 3 standard deviations from the mean.

(a) The percentage of people having an IQ score between 66 and 134 is given by;

z score for 66 = $\frac{X-\mu}{\sigma}$ = $\frac{66-100}{17}$ = -2

z score for 134 = $\frac{X-\mu}{\sigma}$ = $\frac{134-100}{17}$ = 2

This means that the percentage of people having an IQ score between 66 and 134 is 95%.

(b) Firstly, we have to find the percentage of people having an IQ score between 83 and 117;

z score for 83 = $\frac{X-\mu}{\sigma}$ = $\frac{83-100}{17}$ = -1

z score for 117 = $\frac{X-\mu}{\sigma}$ = $\frac{117-100}{17}$ = 1

This means that the percentage of people having an IQ score between 83 and 117 is 68%.

This means that the percentage of people having an IQ score of less than 83 or greater than 117 = 100% - 68% = 32%.

(c) In the above part, we find that there are 32% of the values that have an IQ score of less than 83 or greater than 117.

This means that half of this will be less than 83 and half of this will be greater than 117.

So, the percentage of people having an IQ score greater than 117 = $\frac{32\%}{2}$ = 16%.

8 0

3 years ago

A stereo system cost $275. it was on sale for 15% off the sales person receives 2% commission how much commission do they receiv

Oksanka [162]

Answer:

$4.70

Step-by-step explanation:

assuming the commission is taken after sale is deducted, 15% of $275 is 41.25 so 15% off comes to $233.75 and 2% of that is $4.675 which when rounded brings commission up to$4.70

6 0

3 years ago