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Minchanka [31]
3 years ago
15

Lily was shopping and saw the following prices on different packages of the same item as shown in the diagram below

Mathematics
1 answer:
Dafna11 [192]3 years ago
7 0

Answer:

Package B has a unit rate of $1.50 per bag

Step-by-step explanation:

its the correct answer if its wrong deal with it

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15a + 8a + 2b + 13b + 25
guapka [62]

Answer:

23a + 15b + 25

Step-by-step explanation:

Collect the like terms=

15a + 8a = 23a

2b + 13b = 15b

4 0
3 years ago
Ace Truck leases its 10-ft box truck at $20/day and $0.50/mi, whereas Acme Truck leases a similar truck at $15/day and $0.55/mi.
Masja [62]

Answer:

a) f(x) = 0.5 \frac{dollars}{day} x + 20

g(x) = 0.55 \frac{dollars}{mi} x + 15

b) f(70)=0.5*70 +20 =55

g(70)= 0.55*70 + 15 =53.5

If we want to minimize the cost then we should rent the Acme Truck company.

Step-by-step explanation:

Assuming the following questions.

(a) Find the daily cost of leasing from each company as a function of the number of miles driven and sketch the graph of these functions.

For the Ace truck we know that leases its 10-ft box truck at $20/day and $0.50/mi. So then f(x) representing the daily cost is given by:

f(x) = 0.5 \frac{dollars}{day} x + 20

Where x represent the  number of miles driven

For the Acme Truck we know that leases a similar truck at $15/day and $0.55/mi, so then the g*x( representing daily cost would be given by:

g(x) = 0.55 \frac{dollars}{mi} x + 15

Where x represent the miles driven.

We can see the plot on the figure attached.

(b) Which company should you rent a truck from for 1 day if you plan to drive 70 miles and wish to minimize cost?

If we replace the value x=70 for both functions we got:

f(70)=0.5*70 +20 =55

g(70)= 0.55*70 + 15 =53.5

If we want to minimize the cost then we should rent the Acme Truck company.

7 0
3 years ago
You have a mean score of 84 after taking five 100-point tests. What do you need to score on the sixth 100-point test to have a m
kap26 [50]
The mean of n numbers is the sum of the numbers divided by n.

You have a mean score of 84 after taking 5 tests. Let x be the sum of scores.
\frac{x}{5}=84 \\
x=84 \times 5 \\
x=420
You scored a total of 420 points on five tests.

You need to have a mean score of 85 after taking 6 tests. Let y be the score you need to obtain. Your total score on 6 tests is 420+y.
\frac{420+y}{6}=85 \\
420+y=85 \times 6 \\
420+y=510 \\
y=510-420 \\
y=90

You need to score 90 points on the sixth test.
8 0
3 years ago
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MArishka [77]

Answer:

2.8 x+8.7

Step-by-step explanation:

8 0
3 years ago
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If BE−→− bisects ∠ABD and m∠EBD = 32°, find m∠ABD.
Eva8 [605]

Check the picture below.

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3 years ago
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