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ELEN [110]
3 years ago
13

Solve the equation 58 - 10x ≤ 20 + 9x

Mathematics
1 answer:
drek231 [11]3 years ago
6 0

Answer:

x≥2

Step-by-step explanation:

First, write out the equation as you have it:

58-10x\leq20+9x

Then, add 10x to both sides:

58-10x+10x\leq20+9x+10x\\58\leq20+19x

Next, subtract 20 from both sides:

58-20\leq20-20+19x\\38\leq19x

Finally, divide both sides by 19:

\frac{38}{19}\leq\frac{19x}{19}\\2\leq x

or

x\geq 2

Therefore: the answer to this inequality/equation is: x≥2

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The owner of an auto repair shop studied the waiting times for customers who arrive at the shop for an oil change. The following
labwork [276]

Answer:

(d)0.6

Step-by-step explanation:

(a)Frequency Distribution

\left|\begin{array}{c|c}$Waiting Time(in Minutes)&$Frequency\\-----------&--\\0-4&4\\5-9&8\\10-14&5\\15-19&2\\20-24&1\\--&--\\Total&20\end{array}\right|

(b)The relative frequency distribution.

\left|\begin{array}{c|c}$Waiting Time(in Minutes)&$Relative Frequency\\-----------&--\\0-4&4/20=0.2\\5-9&8/20=0.4\\10-14&5/20=0.25\\15-19&2/20=0.1\\20-24&1/20=0.05\\--&--\\Total&1\end{array}\right|

(c)The cumulative frequency distribution.

\left|\begin{array}{c|c|c}$Waiting Time(in Minutes)&$Frequency&$Cumulative Frequency\\-----------&--&---\\0-4&4&4\\5-9&8&12\\10-14&5&17\\15-19&2&19\\20-24&1&20\\--&--&--\\Total&20\end{array}\right|

(d)The proportion of customers needing an oil change who wait 9 minutes or less.

Proportion of customers needing an oil change who wait 9 minutes or less.

=\dfrac{12}{20} \\\\=0.6

5 0
3 years ago
What survival rate in the 10th year would make the average rate of loss over the 10-year period equal to 38.0%?
Morgarella [4.7K]

Answer: 63%

Step-by-step explanation:

First find the rate of loss that would cause the average rate of loss over the 10-year period equal to 38.0%.

Assume that rate is x.

38 = (36.2 + 29.0 + 46.2 + 37.5 + 40.9 + 40.0 + 32.6 + 40.5 + 40.1 + x) / 10

38 = (343 + x ) / 10

380 = 343 + x

x = 380 - 343

x = 37%

The survival rate is the opposite of the rate of loss which means that the survival rate is;

= 1 - rate of loss

= 1 - 37%

= 63%

7 0
2 years ago
For Jack's birthday, his mom is taking him and 12 friends to the zoo. If she pays $11 for each ticket using her credit card, wha
Gemiola [76]
Jack's mom is purchasing thirteen tickets at a price of $11 each. This equals a total of $143 in total spent. If Jack's mom has a credit card limit of $500, then after purchasing $143 with the card, her available amount to purchase additional things is $357. This impact on her available credit is due to credit cards working on an available balance system. When Jack's mom first received her credit card, a set balance or total amount she could purchase with the card was set. In this example, her total amount she could purchase with the card was $500. After her purchase of the tickets for $143 was completed, she subtracted that amount from her total available of $500 and that is why her available amount to purchase is now $357.
4 0
3 years ago
Read 2 more answers
Dewan’s bank account balance is -$16.75. He deposits checks totaling $23.59. What is his new balance?
Brilliant_brown [7]

Answer:

b because 23.59+ (-16.75) = 6.84

Step-by-step explanation:

7 0
3 years ago
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Triangle ABC has vertices A( 1 , 4 ), B( 4 , 4 ) and C( 1 , 17 ).
qaws [65]

Answer:

A right triangle

Step-by-step explanation:

3 0
3 years ago
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