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3 years ago

6

The total cost to rent a row boat is $14 times the number of hours the boat is used. Write an equation to model this situation i

f c = total cost and h = number of hours.

1 answer:

Scrat [10]3 years ago

6 0

The total cost is c the you just multiply 14 by the number of hours so it would be C=$14h

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Percy is 8 years older than Ginny. In ten years time he will be three times Ginnys present age. How old is Percy now?

LekaFEV [45]

Now,
G - Ginny's age.
P=G+8, Percy's age.

In 10 years,
G + 10 - Ginny's age in 10 years.
P+10 - Percy's age in 10 years.

<span> In ten years time Percy (P+10) will be three times Ginnys present age (3G).
P+10=3G

Now we have 2 equations, and we can write a system of equations.

</span>(1) P=G+8
(2) P+10=3G -------> G=(P+10)/3, we need to substitute it into equation 1.

( P=(P+10)/3+8) /*3
3P=P +10+24
2P = 34
P = 17

Percy is 17 years old now.

Check,
P=17, G=17-8=9
P+10=3G , 17+10=3*9, 27 = 27 True

5 0

3 years ago

Jordan received 9 text messages last week.She received 3 times more text message this week than last week. How many text message

vazorg [7]

If she got 9 messages last week and 3rimes as much this week then she got 27 messages because 9x3=27

8 0

3 years ago

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Please help and explain so I understand!!

olga_2 [115]

Answer:

x=5

Step-by-step explanation:

$4x^2-11=89$

add 11 to both sides

$4x^2=100$

Divide 4 on both sides

$x^2=25$

Take the square root of both sides to eliminate the power of two from x

$\sqrt{x^2} =\sqrt{25}$

Simplify

$x=5$

8 0

3 years ago

Built in 2011, the capital gate tower is 150 meters tall (measured vertically from the ground) and makes a 72 degree angle with

Softa [21]

Answer:

Step-by-step explanation:

You can create a right triangle out of this information and then use right triangle trig to solve.

We are given the height of the triangle as the height of the tower which is 150m.

We are given the angle of inclination as the degree the tower makes with the ground which is 72.

From the angle of 72 degrees, which is also known as the reference angle, we have the side across from it (the height) and we are looking for the side adjacent to it (how far from the base of the tower the keys will land). Side opposite the reference angle over side adjacent to the reference angle is the tangent ratio:

$tan(72)=\frac{150}{x}$ and, solving for x,

$x=\frac{150}{tan(72)}$

Make sure your calculator is in degree mode to solve this. Divide 150 by the tan(72) and find that

x = 48.7 m

7 0

3 years ago

Graph the function f(x) = − x4 + 7x3 − 9x2 − 3x + 10 using graphing technology and identify for which values of x the graph is d

jolli1 [7]

In the attached diagram you can see the graph of the function $f(x) = -x^4 + 7x^3 - 9x^2 - 3x + 10.$

As you can see graph is:

1. increasing from x = −2 to x = −1

2. decreasing from x = 0 to x = 1

3. decreasing and then increasing from x=1 to x=2

4. increasing from x=2 to x=4.

Answer: correct choice is B.

4 0

3 years ago

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