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Andre45 [30]
2 years ago
13

Heidi solved the equation 3(x + 4) + 2 = 2 + 5(x – 4). Her steps are below: 3x + 12 + 2 = 2 + 5x – 20 3x + 14 = 5x – 18 14 = 2x

– 18 32 = 2x 16 = x Use the drops-downs to justify how Heidi arrived at each step. Step 1: distributive property Step 2: Step 3: Step 4: Step 5:
Mathematics
1 answer:
lyudmila [28]2 years ago
6 0

Answer:

See explanation

Step-by-step explanation:

3(x + 4) + 2 = 2 + 5(x – 4)

Step 1: distributive property

3(x + 4) + 2 = 2 + 5(x – 4)

3x + 12 + 2 = 2 + 5x - 20

Step 2: collect like terms

3x + 12 + 2 = 2 + 5x - 20

3x + 14 = 5x - 18

Step 3: Addition property of equality

3x + 14 = 5x - 18

3x + 14 + 18 = 5x - 18 + 18

3x + 32 = 5x

Step 4: subtraction property of equality

3x + 32 - 3x = 5x - 3x

32 = 2x

Step 5: division property of equality

32 = 2x

32/2 = 2x/2

16 = x

x = 16

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7 0
2 years ago
Which of these is an example of a non-random sample?
Karo-lina-s [1.5K]

The correct answer would be:

A) Sunbathers at a free suntan lotion booth on a popular beach were asked about their favorite suntan lotion.

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6 0
3 years ago
A bike shop sells you a bicycle for $63 and a helmet for $21. The total cost is 150% of what the shop spent originally. How much
marshall27 [118]
The bike shop made $28 dollars profit. First, you add the cost of the bike and the cost of the helmet, which is $84. Then you divide that by 150 to get what 1% would be, which is .56. Then you multiply that by 50%, which is the part of the price that the shop profited, which is $28.
7 0
3 years ago
4. Is rap music more popular among young Indians than among young Asians? A sample survey compared 634 randomly chosen Indians a
bulgar [2K]

Answer:

H0 is accepted

there is no difference between the proportions of Indian and Asian young people who listen to rap music every day.

Step-by-step explanation:

Given  a sample survey compared 634 randomly chosen Indians aged 15 to 25 with 567 randomly selected Asians in the same age group.

p_{1} = \frac{368}{634} =0.580

It found that 368 of the Indians and 130 Asians listened to rap music every day.

p_{2} = \frac{130}{567} =0.229

Null hypothesis H0: there is no difference between the proportions of Indian and Asian young people who listen to rap every day.

p_{1} = p_{2}

Alternative hypothesis:- p_{1} \neq  p_{2}

Level of significance α = 0.05

The test of statistic

z = \frac{p_{1} -  p_{2}}{\sqrt{pq(\frac{1}{n_{1} }+\frac{1}{n_{2} })  } } }

where p = \frac{n_{1}p_{1} + n_{1}p_{2}}{n_{1}+n_{2}} = \frac{634(0.580)+567(0.229)}{634+567}

       p = 0.414

and q = 1-p = 1- 0.414 =0.586

Z = \frac{0.580-0.229}{\sqrt{0.414(0.586)(\frac{1}{634} +\frac{1}{567} } } }

on calculation , we get

z = 0.300 ><1.96 at 95 % level of significance

H0 is accepted

there is no difference between the proportions of Indian and Asian young people who listen to rap every day.

3 0
3 years ago
Please help!!!!!!!!!!!!!!!!!!!!!!! I'm NOT about to write all that out again. THANK YOU!!!!
NikAS [45]

Answer:

I am not able to see yo pics. sorry

Step-by-step explanation:

4 0
3 years ago
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