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Wewaii [24]
1 year ago
8

Find the total cost of a $32 Uber ride with a 15% tip. Round to the nearest cent when necessary

Mathematics
1 answer:
Marianna [84]1 year ago
7 0

$36.80

Explanation:

Cost of Uber ride = $32

Tip = 15%

\begin{gathered} \text{Tip Amount = }15\text{ \% }\times\text{ \$32} \\ \text{Tip Amount = 0.15 }\times\text{ \$32} \\ \text{Tip Amount = \$4.8} \end{gathered}\begin{gathered} \text{Total cost = cost of Uber ride + tip amount} \\ \text{Total cost = }32\text{ + \$4.8} \\ \text{Total cost = }36.8 \\  \\ \text{Total cost is \$36.80} \end{gathered}

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Find the coordinates of the point 7/10 of the way from A to B. a=(-3,-6) b=(12,4)
Artemon [7]

Answer:

The coordinates of M are x = \frac{15}{2} and y = 1.

Step-by-step explanation:

Let be A = (-3,-6) and B = (12, 4) endpoints of segment AB and M a point located 7/10 the way from A to B. Vectorially, we get this formula:

\overrightarrow {AM} = \frac{7}{10}\cdot \overrightarrow {AB}

\vec M - \vec A = \frac{7}{10}\cdot (\vec B - \vec A)

By Linear Algebra we get the location of M:

\vec M = \vec A + \frac{7}{10}\cdot (\vec B - \vec A)

\vec M = \vec A +\frac{7}{10}\cdot \vec B - \frac{7}{10}\cdot \vec A

\vec M = \frac{3}{10}\cdot \vec A + \frac{7}{10}\cdot  \vec B

If we know that \vec A = (-3,-6) and \vec B = (12, 4), then:

\vec M = \frac{3}{10}\cdot (-3,-6)+\frac{7}{10}\cdot (12,4)

\vec M = \left(-\frac{9}{10},-\frac{9}{5}  \right)+\left(\frac{42}{5} ,\frac{14}{5} \right)

\vec M =\left(-\frac{9}{10}+\frac{42}{5} ,-\frac{9}{5}+\frac{14}{5}   \right)

\vec M = \left(\frac{15}{2} ,1\right)

The coordinates of M are x = \frac{15}{2} and y = 1.

6 0
3 years ago
the Garden Club earn $12 by weeding neighbors Gardens 4X hours a generous donor has agreed to triple their earnings how much did
Cerrena [4.2K]

Answer:

The right answer is 15t times 2.

The garden club earns 15 dollars per hour

t is the hours

A generous donor doubles their earnings

Double means times 2

Step-by-step explanation:

8 0
2 years ago
23. Tara is driving 30 miles per hour. How long will it take her to travel 60 miles?
lys-0071 [83]

Answer:

2 hours

Step-by-step explanation:

30×1=30

30×2=60

4 0
3 years ago
Please help me out!!!!!
Neko [114]

Given:

The zeros of the polynomial are -2,\pm 5,4.

Degree = 4

Leading coefficient  = 1

To find:

The polynomial.

Solution:

If c is a zero of a polynomial, then (x-c) must be a factor of the polynomial.

Here, -2,4,-5, 5, are zeros of the required polynomial, so (x+2), (x-4), (x+5), (x-5) are factors of required polynomial.

p(x)=(x+2)(x-4)(x+5)(x-5)

p(x)=(x^2-4x+2x-8)(x^2-5^2)     [\because a^2-b^2=(a-b)(a+b)]

p(x)=(x^2-2x-8)(x^2-25)

Using distributive property, we get

p(x)=x^2(x^2-25)-2x(x^2-25)-8(x^2-25)

p(x)=x^4-25x^2-2x^3+50x-8x^2+200

On combining like terms, we get

p(x)=x^4-2x^3+(-25x^2-8x^2)+50x+200

p(x)=x^4-2x^3-33x^2+50x+200

Here, the leading coefficient is 1. So, it is the required polynomial.

Therefore, the correct option is E.

3 0
3 years ago
What is the least common denominator of the equation ? 2/9x+2/3x=7
svet-max [94.6K]
LCD of 2/9x + 2/3x = 7/1 is gonna be 9 (u can put that 1 under the 7 if it helps u)
5 0
3 years ago
Read 2 more answers
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