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Nataly_w [17]
4 years ago
11

A taxi cab charges $0.55 per mile in addition to a $1.75 flat rate fee. Susie has $10 to spend on a taxi cab ride. The taxi driv

er will not give anyone a ride unless they are going somewhere that is more than 2 miles away. Model Susie’s situation with a system of inequalities.
Mathematics
1 answer:
d1i1m1o1n [39]4 years ago
3 0

Let y equal to the total fare and x is the mile of taxi ride. So the equation is

Y = 0.55x + 1.75

Since Susie has $10 to spend for a taxi cab, so he can have

10 = 0.55x + 1.75

X = 15 miles of taxi ride

So the system of inequality is

10 < 0.55x + 1.75

<span>X > 2</span>

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Write an equation for the nth term of the arithmetic sequence. Then find a 30
AnnZ [28]

Answer:

The nth term is given by: a_n = -9 + 3(n-1)

The 30th term is 78.

Step-by-step explanation:

Arithmetic sequence:

The nth term of an arithmetic sequence is given by:

a_n = a_1 + (n-1)d

In which a_1 is the first term and d is the common difference between terms.

-9, -6, - 3,0

This means that a_1 = -9, r = -6 - (-9) = -6 + 9 = 3. So

a_n = -9 + 3(n-1)

30th term:

a_30 = -9 + 3(30-1) = -9 + 87 = 78

The 30th term is 78.

6 0
3 years ago
After *triangle* ACE is dilated by a factor of 5, It has an area of 100 square inches. What was its area before dilation?
Anarel [89]
<h3>Answer:  4 square inches</h3>

Explanation:

Square the linear scale factor to get 5^2 = 25

This means that,

new area = 25*(old area)

We take this idea in reverse to find the old area

old area = (new area)/25

old area = (100 sq inches)/25

old area = 4 square inches

6 0
3 years ago
What is the Square root of 560
MissTica
23.66431913239846 
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23.7
3 0
3 years ago
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The sum of a number and three more than twice that number is 27. What is the smaller number?
brilliants [131]

Answer:

7

Step-by-step explanation:

27 + 27 = 54

54 + 3

57

Smaller number is: 7

5 0
3 years ago
A large retali store hired 27 new members for the executive training program. Of this group, two-thirds had previous retail work
Art [367]

Answer:

Number of members having previous work experience = 18

Step-by-step explanation:

As given in question,

Total number of new members hired = 27

Since, two-thirds had previous retail work experience

So,

the\ fraction\ of\ members\ having\ previous\ work\ experience\ =\ \dfrac{2}{3}

So,\ the\ number\ of\ members\ having\ previous\ work\ experience\ =\ \dfrac{2}{3}\times\ total\ number\ of\ members\ hired

                                              =\ \dfrac{2}{3}\times 27

                                                = 18

So, the number of new members hired having work experience = 18

4 0
4 years ago
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