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docker41 [41]
3 years ago
7

Candice is taking a group nature hike in a park. There is a $12.00 fee just to enter the park. In addition, the tour group charg

es $0.23 per mile they hike. She brought $35.00 with her. Which equation can be used to determine how many miles can she hike?
Mathematics
2 answers:
Mariana [72]3 years ago
8 0

.23(m)-12=35.

Think this is right. Haven't done these in a while

True [87]3 years ago
8 0
Let, the miles she can travel = d
So, Equation would be: 12.00 + 0.23d = 35.00

Solving: 0.23d = 35.00 - 12.00
d = 23/0.23
d = 100

In short, Your Answer would be 100 miles

Hope this helps!
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a pet store has 2 kittens. one kitten weighs 15/16 pounds. the other kitten weighs 12/16 pounds. what is the difference of the w
Lostsunrise [7]
Subtract 15/16 and 12/16 to get 3/16
5 0
3 years ago
Factor f(x) = 4x2 + 11x? - 104x + 105 into linear factors given that – 7 is a zero of f(x).
ioda

Answer:

f(x) = 4x + 11x2 - 104x + 105  =  (x - 3)(x + 7)(4x - 5)

Step-by-step explanation:

f(x) = 4x^3 + 11x2 - 104x + 105

has the coefficients {4, 11 -104, 105}.  We perform synthetic division using the given -7 as divisor:

-7   /   4      11     -104     105

                -28     119     -105

     -----------------------------------

          4      -17      15         0

Since the remainder is zero (0), we have shown that -7 is a zero of f(x).  The coefficients of the quotient (above) are {4, -17, 15}.  Let's try factoring the corresponding polynomial again using synthetic division.  Start out by using 5 as divisor and determining whether or not the remaindeer is zero:

5    /     4     -17      15

                    20     15

     -------------------------

             4        3     30           No, the remainder is 30 and so 5 is not a

                                               root of this quadratic.  Try the divisor 3 instead:

3     /     4      -17      15

                      12      -15

      ---------------------------

             4       -5        0        Yes, the remainder is 0 and so 3 is a root.

Thus, the given f(x) = 4x + 11x2 - 104x + 105 factors as follows:

f(x) = 4x + 11x2 - 104x + 105  =  (x - 3)(x + 7)(4x - 5).  Notice that the coefficients of the last factor come from those we found above when using 3 as a divisor in synthetic division.  

8 0
2 years ago
- Trd can be used to find the volume of air inside a basketball given its radius. What does V(r)
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6 0
3 years ago
Benjamin decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs $3.25. Then, he w
tamaranim1 [39]

Answer:   3.25+5.50S≤30 and 16 pancakes

Step-by-step explanation: did it on khan.

8 0
2 years ago
Please Help Me
ludmilkaskok [199]

Given:

The point (9,-12) is on terminal side of angle theta in standard position.

To find:

The exact value of each of the six trigonometric functions of theta.

Solution:

The given point is (9,-12). Here, x-coordinate is positive and y-coordinate is negative. So, the point lies in 4th quadrant and only cos and sec are positive in 4th quadrant.

We know that,

r=\sqrt{x^2+y^2}

r=\sqrt{9^2+(-12)^2}

r=\sqrt{81+144}

r=\sqrt{225}

r=15

Now,

\sin \theta=\dfrac{y}{r}=\dfrac{-12}{15}=-\dfrac{4}{5}

\cos \theta=\dfrac{x}{r}=\dfrac{9}{15}=\dfrac{3}{5}

\tan \theta=\dfrac{y}{x}=\dfrac{-12}{9}=-\dfrac{4}{3}

\cot \theta=\dfrac{1}{\tan \theta}=-\dfrac{3}{4}

\text{cosec} \theta=\dfrac{1}{\sin \theta}=-\dfrac{5}{4}

\sec \theta=\dfrac{1}{\cos \theta}=\dfrac{5}{3}

Therefore, the values of six trigonometric functions of theta are \sin \theta=-\dfrac{4}{5},\cos \theta=\dfrac{3}{5},\tan \theta=-\dfrac{4}{3},\cot \theta=-\dfrac{3}{4},\text{cosec} \theta=-\dfrac{5}{4},\sec \theta=\dfrac{5}{3}.

6 0
3 years ago
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