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puteri [66]
3 years ago
10

Claudio needs to buy gifts for 8 friends. He wants to give the same gift to all his friends and he plans to have the gifts wrapp

ed for an additional charge of $1.50 each. If Claudio spends at least $70, he will receive free shipping on his order. Write and solve an inequality to determine how much Claudio needs to spend on each gift in order to receive free shipping.
Mathematics
1 answer:
Blizzard [7]3 years ago
6 0

Answer:

7.25

Step-by-step explanation:

In the question, the term at least means less than or equal to is represented by ≥

Let the cost of each gift = c

He is buying gifts for 8 friends = 8 gifts

Hence, our Inequality equation is written as:

(c + $1.50)× 8 ≥ $70

8c + 12 ≥ 70

8c ≥70 - 12

c ≥ 58/8

c≥ 7.25

Therefore, the amount Claudio needs to spend on each gift in order to receive free shipping is 7.25

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the taxi charges in a city consist of a fixed charge together with the charge for the distance covered. For a distance of 10 km,
Olegator [25]

Answer:

255

Step-by-step explanation:

total cost paid = fixed cost + total variable cost

total variable cost = distance travelled x variable cost per unit

two equations can be derived from the question

a + 10b = 105  equation 1

a + 15b = 155   equation 2

a = fixed cost

b =  variable cost per unit

Subtract equation 1 from 2

5b = 50

b = 10

Substitute for b in equation 1

a + 10(10) = 105

a = 105 - 100 = 5

a = 5

cost of travelling a distance of 25km

5 + 10(25) = 255

3 0
2 years ago
What is the absolute deviation from the mean for the following values
Doss [256]
12, 20, 16, 10, 17, 9, 23, 13
1. add them all up 
=120
divide by the number of numbers
120/8
=15
15 is the MAD
6 0
3 years ago
Which equation represents a population of 210 animals that decreases at an annual rate of 14%
soldi70 [24.7K]

Answer:

The equation i.e. used to denote the population after x years is:

P(x) = 490(1 + 0.200 to the power of x

Step-by-step explanation:

This problem could be modeled with the help of a exponential function.

The exponential function is given by:

P(x) = ab to the power of x

where a is the initial value.

and b=1+r where r is the rate of increase or decrease.

Here the initial population of the animals are given by: 490

i.e. a=490

Also, the rate of increase is: 20%

i.e. r=20%

i.e. r=0.20

Hence, the population function i.e. the population of the animals after x years is:

P(x) = 490(1 + 0.200 to the power of x

6 0
2 years ago
P/ 1 6/7=−4.4 help please!!!!!!!
Dafna11 [192]

Answer:

Sorry, I can't type well.

5 0
2 years ago
Read 2 more answers
Simplify the expression 53 + 3(5 − 3).
IrinaVladis [17]

Answer:

Step-by-step explanation:

5-3=2

53+3(2)

53+6

=59

7 0
3 years ago
Read 2 more answers
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