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xeze [42]
3 years ago
10

At a college bookstore, Tanisha bought a Math Textbook and a Novel for $54. If the price of the Math Textbook is $8 more than 3

times the price of the Novel, then how much is the price of each book?
Mathematics
1 answer:
pishuonlain [190]3 years ago
3 0

Answer: Price of Math Textbook= $42.5,  Price of the Novel= $11.5

Step-by-step explanation:

Let x = price of the Novel.

Price of Math Textbook = 8+3x

As per given , we have

Price of Math Textbook + Price of the Novel = $54

⇒ 8+3x+x = 54

⇒ 8+4x=54

⇒ 4x = 46     [subtract 8 from both sides]

⇒ x = 11.5

Price of Math Textbook = 8+3(11.5) = 8+34.5= $42.5

Hence, Price of Math Textbook= $42.5,  Price of the Novel= $11.5

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The life in hours of a 75-watt light bulb is known to be normally distributed with standard deviation σ = 25 hours. A random sam
irina [24]

Answer: a) (1008.34,1019.658) b) (1009.24,1018.76)

Step-by-step explanation:

Since we have given that

n = 75

mean = 1014 hours

Standard deviation = 25 hours

At 95% two sided , z = 1.96

So, confidence interval would be

\bar{x}\pm z\dfrac{\sigma}{\sqrt{n}}\\\\=1014\pm 1.96\dfrac{25}{\sqrt{75}}\\\\=1014\pm 5.658\\\\=(1014-5.658,1014+5.658)\\\\=(1008.34,1019.658)

(b) Construct a 95% lower confidence bound on the mean life.

z = 1.65

So, confidence interval would be

\bar{x}\pm z\times \dfrac{\sigma}{\sqrt{n}}\\\\=1014\pm 1.65\times \dfrac{25}{\sqrt{75}}\\\\=1014\pm 4.76\\\\=(1014-4.76,1014+4.76)\\\\=(1009.24,1018.76)

Hence, a) (1008.34,1019.658) b) (1009.24,1018.76)

4 0
3 years ago
HELP HELP PLEASE ASAP
topjm [15]

Answer:

Cost for skii: J(x) = 30x + 7

Cost for beach chair: B(x) = 5x + 3

=> Total cost = J(x) + B(x) = 30x + 7 + 5x + 3 = 35x + 10

=> Option C is correct.

Hope this helps!

:)

7 0
3 years ago
rachel bought 1 3/5 pounds of peaches for $.60 and 3 1/2 pounds of apples for $1.75. which fruit costs more per pound ? explain
babunello [35]
The peaches cost more per pound because if you divide the pounds of peaches by the cost, it's more than the cost per pound of apples.
3 0
3 years ago
Nuts.com sells raw almonds for $10 per pound and roasted pistachios for $12 per pound. Christopher spends $70, before taxes and
sp2606 [1]

Christopher purchased 2.8 pounds of almonds and 3.5 pounds to roasted pistachios.

Step-by-step explanation:

Cost of almonds per pound = $10

Cost of roasted pistachios = $12

Total amount spent = $70

Weight of nuts = 6.3

Let,

Weight of almonds = x

Weight of roasted pistachios = y

According to given statement;

x+y=6.3   Eqn 1

10x+12y=70   Eqn 2

Multiplying Eqn 1 by 10

10(x+y=6.3)\\10+10y=63\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2;

(10x+12y)-(10x+10y)=70-63\\10x+12y-10x-10y=7\\2y=7

Dividing both sides by 2

\frac{2y}{2}=\frac{7}{2}\\y=3.5

Putting y=3.5 in Eqn 1

x+3.5=6.3\\x=6.3-3.5\\x=2.8

Christopher purchased 2.8 pounds of almonds and 3.5 pounds to roasted pistachios.

Keywords: linear equations, elimination method

Learn more about elimination method at:

  • brainly.com/question/11007026
  • brainly.com/question/11207748

#LearnwithBrainly

8 0
3 years ago
Write the equation in slop intercept form:-3y+5x=12
VARVARA [1.3K]

Answer: y = 5/3x - 4

5 0
3 years ago
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