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Arlecino [84]
3 years ago
13

Which property explains how we get the equation shown in step 2? Given: -5(x -4) - 20 = -15 Step 1: -5x + 20 -20 = -15 (Distribu

tive) Step 2: -5x = -15 (__________________) Step 3: x = 3 (Multiplicative Inverse)
Mathematics
2 answers:
Talja [164]3 years ago
8 0
Step 2: <span>Inverse Property of Addition
</span><span>any number added to its opposite will equal zero
</span>in this case + 20 - 20 = 0

answer
Inverse Property of Addition
prohojiy [21]3 years ago
5 0

Answer:

additive inverse! you must write it that way if you are doing something like USA TEST PREP

Step-by-step explanation:

I hope this helps!! <3

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The ratio of wooden bats to metal bats in
lapo4ka [179]
<h3>Answer: 10 metal bats</h3>

"Ratio of wooden bats to metal bats is 2 to 1" basically means "there are twice as many wooden bats (compared to metal ones)". So if we had 3 metal bats, then we'd have 2*3 = 6 wooden bats. If we had 7 metal bats, then we have 14 wooden ones (because 2*7 = 14). And so on. The basic rule is to multiply the amount of metal bats by 2 to get the amount of wooden ones.

We can go in reverse to divide the amount of wooden bats to get the amount of metal ones. So 20/2 = 10 is the amount of metal bats.

------------------

A more formal approach is to use the proportion below to solve for x

20/x = 2/1

20*1 = x*2

20 = 2x

2x = 20

2x/2 = 20/2

x = 10

and we get the same answer.

6 0
3 years ago
tony and some friends went to the movies. They bought 4 drinks and 2 tubs of popcorn and spent a total of $32.50 on the food. Ea
poizon [28]
X=popcorn
x - 3.50=drink
2x+ 4(x-3.50)=32.50
2x+4x-14=32.50

solve for x
8 0
3 years ago
Read 2 more answers
The manager of a computer retails store is concerned that his suppliers have been giving him laptop computers with lower than av
yanalaym [24]

Answer: 0.0010

Step-by-step explanation:

Given the following :

Population Mean(m) = 4.2 years

Sample mean (s) = 3.9

Standard deviation (sd) = 0.6

Number of samples (n) = 38

Calculate the test statistic (z) :

(sample mean - population mean) / (sd / √n)

Z = (3.9 - 4.2) / (0.6 / √38)

Z = (- 0.3) / (0.6 / 6.1644140)

Z = -0.3 / 0.0973328

Z = - 3.0822086

Z = - 3.08

From the z table :

P(Z ≤ - 3.08) = 0.0010

5 0
3 years ago
Integers that are not whole numbers
myrzilka [38]
3/3 4/4 5/5 6/6 etc....
5 0
3 years ago
Determine whether the distribution is a probability distribution. x 0 1 2 3 4 5 ​P(x) StartFraction 1 Over 25 EndFraction one fi
Citrus2011 [14]

Answer:

D. No comma because the total probability is not equal to 1.

Step-by-step explanation:

Given the distribution:

\left|\begin{array}{c|cccccc}x&0&1&2&3&4&5\\ P(x)&1/25&1/5&1/2&3/4& 1/50&1/100\end{array}\right|

The sum of the probabilities

\sum P(x)=1/25+1/5+1/2+3/4+ 1/50+1/100\\\sum P(x) =1.52 \neq 1

Therefore, the distribution is not a probability distribution because the total probability is not equal to 1.

The correct option is D.

6 0
3 years ago
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