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torisob [31]
3 years ago
11

In the city there are two options for taxi companies. The Green Company charges $.38 for each 15 of a mile. The Orange Company c

harges $.25 for each 18 of a mile. How many miles (to the nearest hundredth) can a customer travel with the Orange Company if they have $10?
Mathematics
1 answer:
stealth61 [152]3 years ago
4 0
A customer cannot travel orange company if they have $10
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The chorus at an elementary school is made up on fifth and sixth graders. This year, the chorus had 12 fifth-grade girls, 9 fift
Sveta_85 [38]

Answer:

A. Ratio boys to girls ---> 19 : 26

B. Ratio of 5th grade to 6th grade ---> 21 : 24

C. Ratio of girls to total number of chorus students ---> 26 : 45

Step-by-step explanation:

A. the amount of boys is 9 + 10, the amount of girls is 12 + 26

B. the amount of 5th graders is 12 + 9, the amount of 6th graders is 14 + 10

C. the number of girls is 12 + 14, and the number of chorus students is 12+9+14+10

7 0
3 years ago
Complex numbers &amp; DeMoivre's theory<br> If z=-1-√3 i and z^6=a+bi, a=_____ and b=_____
Mice21 [21]

Convert z to exponential/polar/trigonometric form:

r=|z|=\sqrt{(-1)^2+(-\sqrt 3)^2}=2

\tan\theta=\dfrac{-\sqrt3}{-1}\implies\theta=\dfrac{4\pi}3

\implies z=-1-\sqrt3\,i=2e^{4\pi/3\,i}=2\left(\cos\dfrac{4\pi}3+i\sin\dfrac{4\pi}3\right)

By DeMoivre's theorem,

z^6=\left(2e^{4\pi/3\,i}\right)^6=2^6e^{24\pi/3\,i}=64e^{8\pi\,i}

z^6=64\left(\cos8\pi+i\sin8\pi)=64

so that a=64 and b=0.

8 0
3 years ago
Complete the statement with the choice that best
chubhunter [2.5K]

Answer:

Factors of the constant term

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Maya is cleaning out her closet and is shocked when she realizes that she has 55 shirts. She decides to donate 40% of them. ​
ipn [44]

Maya is cleaning out her closet and is shocked when she realizes that she has 55 shirts. She decides to donate 40% of them. How many more shirts does she have for her ?

Answer:

The number of T-shirt that Maya will have after donating 40% is 22 shirts

Explanation:

Given:( as per the above data provided)

Total number of T-shirts = 55

Percentage of T-shirts she wish to donate = 40%

To find:

Remaining number of T-shirt left after donating?

Formula to be used:

Remaining T shirt = (Total number of T-shirt /100) X The Percentage of T-shirt she wish to donate

Steps:

Substituting all the above provided values in the formula we get,

              = (55/100)*40

              = 22 shirts.

Thus the number of T-shirts left with her is 22.

3 0
3 years ago
A spherical ball has a radius of 4 inches. What is the volume of this sphere, to the
stealth61 [152]

Answer:

V = 267.9 in^3

Step-by-step explanation:

V = 4/3 * (pi) * r^3

V = 4/3 * 3.14 * 4^3

V = 4/3 * 3.14 * 64

V = 256/3 * 3.14

V = 803.84/3

7 0
2 years ago
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