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Tresset [83]
3 years ago
12

a taxi charges $1.75 for the first 1/8 mile and $0.30 for each additional 1/8 mile write an equation that gives the cost c of a

taxi ride in terms of the number of miles m how many miles did you drive if a ride cost $7.75
Mathematics
1 answer:
Eddi Din [679]3 years ago
3 0

Answer:

c=0.30m+ 1.75

Step-by-step explanation:

If a taxi ride cost $7.75, you first subtract 1.75 from $7.75. Then the answer of that, $6, you divide by 0.3 to find out how many miles I drove.

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The rectangle shown
Viktor [21]
The answer is C- 20

a^2 + b^2=c^2


5 0
3 years ago
a carpenter is fitting some bookcases to an alcove, using as much of the space as possible from floor to ceiling, a height of 2.
yuradex [85]

The number of shelves that fit in the alcove is given by the height of each shelve and the height of the bookshelf above the ground

The number of bookshelves that fit into alcove, is <u>8 bookshelves</u>

Reason:

Height of the alcove = 2.5 m

Height of the books = 210 mm = 0.21 m

The gap above each book = 30 mm = 0.03 m

The thickness of the shelves = 20 mm = 0.02 m

Width of the alcove = 1.2 m

Height of the bottom shelf above the ground = 300 mm = 0.3 m

Required:

The number of shelves that can be fitted into the alcove

Solution;

Let <em>x</em>, represent the number of shelves that can be fitted into the alcove

We have;

An initial height of the bookshelves above the ground = 0.3 m

Height of a shelve, H = Height of books + Gap above books + Thickness of shelves

Height above ground, including the bottom shelve = 0.3 m

  • x = \dfrac{2.5 - (0.3)}{0.02 + 0.03 } = 8\frac{6}{13}\approx 8.46

Therefore, the maximum number of whole bookshelves that can be fitted into alcove, x ≈ <u>8 bookshelves</u>

Learn more here:

brainly.com/question/23945932

3 0
2 years ago
Solve using the quadratic formula. x 2 + 4 x + 7 = 0
Tom [10]

Answer:

x=-2+i√ 3

Step-by-step explanation:

7 0
3 years ago
An e-commerce research company claims that 60% or more graduate students have bought merchandise on-line at their site. A consum
Rasek [7]

Answer:

We accept H₀ we don´t have enough evidence to conclude that a consumer group position is correct

Step-by-step explanation:

We have a case of test of proportion, as a consumer group is suspicious of the claim and think the proportion is lower we must develop a one tail test (left tail) Then

1.- Test hypothesis:

Null hypothesis  H₀                   P = P₀

Alternative hypothesis  Hₐ       P < P₀

2.- At significance level of α  = 0,05   Critical value

z(c)  =  -1,64

3.-We compute z(s) value as:

z(s)  =  ( P - P₀ )/ √P*Q/n      where   P = 44/80     P = 0,55   and Q = 0,45

P₀ = 0,6   and  n = 80

Plugging all these values in the equation we get:

z(s)  = ( 0,55 - 0,6 ) / √(0,2475/80)

z(s)  =  - 0,05/ √0,0031

z(s)  =  - 0,05/0,056

z(s)  =  - 0,8928

4.-We compare  z(s)  and  z(c)

z(s) > z(c)      -0,8928 on the left side it means that z(s) is in the acceptance region so we accept H₀

7 0
2 years ago
A cube with a volume of 64 cubic meters is scaled by a factor of 5. What is the volume of the cube.
RSB [31]

Answer:

Volume of cube = 64 m^3

Let the sides of cube = x

So volume = x^3 = 64

It's length is scaled up by a factor of 5.

Each side of the cube will become = 5x

New volume = (5x)^3 = 125 x^3 = 125×64 = 8000 m^3

New volume is 8000 m^3.

Step-by-step explanation:

7 0
3 years ago
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