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Lemur [1.5K]
3 years ago
13

Hugh bought some magazines that cost $3.95 each and some books that cost $8.95 each. He spent a total of $47.65. Let m represent

the number of magazines and b represent the number of books. Which equation models the situation?
Mathematics
1 answer:
finlep [7]3 years ago
3 0

Answer:

3.95(3) + 8.95b = 47.65

11.85 + 8.95b = 47.65

Subtract 11.85 from both sides.

8.95b = 35.8

Divide 8.95 from both sides.

b = 4

Hugh bough 4 books.

Step-by-step explanation:

3.95(3) + 8.95b = 47.65

11.85 + 8.95b = 47.65

Subtract 11.85 from both sides.

8.95b = 35.8

Divide 8.95 from both sides.

b = 4

Hugh bough 4 books.

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Is the line for the equation y = −8 horizontal or vertical? What is the slope of this line? Select the best answer.
Amanda [17]
The equation is only create a line on the coordinate itself . make a straight line on - 8 of y axis

so it is horizontal and there is no slope

the answer is a
7 0
3 years ago
Americans receive an average of 20 Christmas cards each year. Suppose the number of Christmas cards is normally distributed with
soldier1979 [14.2K]

The distribution of X is X ~ N (20 , 6) and the probability that this American will receive no more than 24 Christmas cards this year is 0.7486.

<h3>Probability</h3>

a. Distribution

X ~ N (20 , 6)

b. P(x ≤24)

= P[(x - μ ) / σ  (24 - 20) / 6]

= P(z  ≤0.67)

=  0.74857

=0.7486

Hence:

Probability = 0.7486

c. P(21 < x < 26)

= P[(21 - 26)/ 6) < (x - μ  ) / σ   < (24 - 20) / 6) ]

= P(-0.83 < z < 0.67)

= P(z < 0.67) - P(z < -0.)

=  0.74857- 0.2033

= 0.54527

Hence:

Probability =0.54527

d. Using standard normal table ,

P(Z < z) = 66%

P(Z < 0.50) = 0.66

z = 0.50

Using z-score formula,

x = z×  σ +  μ

x = 0.50 × 6 + 20 = 23

23 Christmas cards

Therefore the distribution of X is X ~ N (20 , 6) and the probability that this American will receive no more than 24 Christmas cards this year is 0.7486.

Learn more about probability here:brainly.com/question/24756209

#SPJ1

8 0
2 years ago
What's bigger 9/10 or 4/5
ch4aika [34]
To be able to compare 2 fraciton we have to make common denominator and then we can just compare numerators. 
\frac{4}{5}= \frac{4*2}{5*2}= \frac{8}{10}
Now we can compare numerator from the first (9) and from the second fraction (8)
9>8, so the bigger is 9/10
4 0
3 years ago
Read 2 more answers
I need help asap please
olga55 [171]
8x^2y is correct
Hope this helps
8 0
3 years ago
Ursula and Velda live 4 km apart. They leave their homes at the same time, walking towards each other. If Ursula walks at a rate
vladimir2022 [97]

Answer: 250 m

Step-by-step explanation:

Given

Distance between Ursula and Velda house is 4 km or 4000 m

Ursula walks at the rate of 400\ m/h\ or\ \frac{20}{3}\ m/min

Velda walks at the rate of 600\ m/h\ or\ 10\ m/min

Time taken by them to cover 4000 m is

\Rightarrow \dfrac{4000}{400+600}=4\ h\ or\ 240\ min

Distance covered by them 15 min before they meet

Ursula =\frac{20}{3}\times 225=1500\ m

Velda =10\times 225=2250\ m

The total length covered by them is =1500+2250=3750\ m

They are 4000-3750=250\ m apart before they meet

6 0
2 years ago
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