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Harlamova29_29 [7]

4 years ago

13

The Rodriguez family went to the movies on Friday night. At AMC, adult tickets are $13 and children tickets are $7. The family o

f 6 spent a total of $54. How many adults went and how many children went?

1 answer:

morpeh [17]4 years ago

4 0

X+y=6
13x+7y=54
solve the system for x,y

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7x+6>or equal to -(x-6)

WINSTONCH [101]

Answer:

x≥ 0

Step-by-step explanation:

7x+6 ≥ -(x-6)

Distribute the minus sign

7x+6 ≥ -x+6

Add x to each side

7x+x+6 ≥ -x+x+6

8x+6 ≥ 6

Subtract 6 from each side

8x+6-6 ≥ 6

8x≥ 0

Divide by 8

8x/8≥ 0/8

x≥ 0

3 0

3 years ago

Which statements are TRUE? Select all that apply. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64

valentinak56 [21]

Answer: See explanation

Step-by-step explanation:

a. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64 miles per hour.

Speed = Distance / Time

= 112 / 1 45/60

= 112 / 1 3/4

= 112 × 4/7

= 64 miles per hour.

TRUE

b . If 6 pens cost $7.74, then 7 pens cost $9.03.

Cost of one pen = $7.74/6 = $1.29

Cost of 7 pens = $1.29 × 7 = $9.03

TRUE

c. If Raymond drives at a speed of 57 miles per hour, then it takes him 4 hours and 10 minutes to drive 256.5 miles.

Speed = Distance / Time

Speed = 256.5 / 57 = 4.5 = 4 hours 30 minutes

FALSE

d. If 17 identical cans of soup cost $38.59, then 3 of the cans must cost $6.81.

Cost of one can = $38.59 / 17 = $2.27

Cost of 3 cans = $2.27 × 3 = $6.81

TRUE

e. Mr. Mayes buys two dozen eggs for $8.40, which means that he pays 70 cents per egg.

A dozen = 12

2 dozens = 12 × 2 = 24

Cost of one egg = $8.40 / 24 = 0.35 = 35 cents

FALSE

8 0

3 years ago

Which equation satisfies all three pairs of a and b values listed in the table?

dedylja [7]

The correct answer above would be C.

8 0

3 years ago

Read 2 more answers

3x-4y=8 solve for x only<br>solve it step by step accurate answer pls <br><br>#Algebra 2

mestny [16]

Answer:

3/4x-2

Step-by-step explanation:

3−4=8

∴3=4+8

∴4=3−8

∴=14(3−8)=34−2

4 0

4 years ago

Read 2 more answers

The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The d

kozerog [31]

Answer: 49.85%

Step-by-step explanation:

Given : The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The distribution of the number of daily requests is bell-shaped ( normal distribution ) and has a mean of 61 and a standard deviation of 9.

i.e. $\mu=61$ and $\sigma=9$

To find : The approximate percentage of lightbulb replacement requests numbering between 34 and 61.

i.e. The approximate percentage of lightbulb replacement requests numbering between 34 and $34+3(9)$ .

i.e. i.e. The approximate percentage of lightbulb replacement requests numbering between $\mu$ and $\mu+3(\sigma)$ . (1)

According to the 68-95-99.7 rule, about 99.7% of the population lies within 3 standard deviations from the mean.

i.e. about 49.85% of the population lies below 3 standard deviations from mean and 49.85% of the population lies above 3 standard deviations from mean.

i.e.,The approximate percentage of lightbulb replacement requests numbering between $\mu$ and $\mu+3(\sigma)$ = 49.85%

⇒ The approximate percentage of lightbulb replacement requests numbering between 34 and 61.= 49.85%

4 0

3 years ago