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3 years ago

14

To rent a boat, you pay for an initial fee plus. John rented a boat for 3 hours and paid $41. Jessica rented a boat for 6 hours

and paid $77.

1 answer:

8090 [49]3 years ago

6 0

Answer:

The intial fee is $5

The equation to represent this is: y=12x+5

12 is the cost per hour x=hours y=total cost

Step-by-step explanation:

77-41=36

36/3=12

12*6=72

77-72=5

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Geralds baby brother spends 7/8 ofhis day sleeping. How many hours does his baby brother sleep

Effectus [21]

His baby brother sleeps 21 hours.
There's a total of 24 hours in a day so you can divide by 8. That means 1/8 of the day is equal to 3 hours, so 7 times 3 hours equals 21 hours

6 0

3 years ago

Which set of data is correct for the quadratic relation f(x) = 5(x -

Burka [1]

Answer:

Direction parabola opens upward.

Vertex of parabola is (27,-9).

Axis of symmetry is $x=27$ .

Step-by-step explanation:

Note: Option sets are not correct.

The vertex form of a parabola is

$y=a(x-h)^2+k$ ...(1)

where, (h,k) is vertex and x=h is the axis of symmetry.

If a<0, then parabola opens downward and if a>0, then parabola opens upward.

The given function is

$f(x)=5(x-27)^2-9$ ...(2)

On comparing (1) and (2), we get

$a=5>0$ , so direction parabola opens upward.

$h=27,k=-9$ , so vertex of parabola is (27,-9).

So, axis of symmetry is $x=27$ .

6 0

3 years ago

The tallest building in Africa is the Carlton Centre in Johannesburg, South Africa. What is the distance from the top of this 73

Contact [7]

Answer:

b = 33 miles

Step-by-step explanation:

The illustration forms a right angled triangle. The opposite side of the triangle is where we are looking for . The adjacent side is the radius 4000 miles.

5280 ft = 1 mile

735 ft = ? miles

cross multiply

735/5280

miles = 0.13920454545 miles

The hypotenuse side is the height of the building + 4000 miles = 0.140 + 4000 = 4000.14 miles

using Pythagoras theorem

c² = a² + b²

c = 4000.14

a = 4000

4000.14² = 4000² + b²

b² = 4000.14² - 4000²

b² = 16001120.0196 - 16000000

b² = 1120.0196

b = √1120.0196

b = 33.4666938911

b = 33 miles

3 0

3 years ago

How can 1/5x − 2 = 1/3x + 8 be set up as a system of equations? a . 5y − 5x = −10. 3y − 3x = 24 b. 5y − 5x = −10. 3y + 3x = 24 c

VMariaS [17]

The answer is d. 5y − x = −10. 3y − x = 24

$\frac{1}{5}x-2= \frac{1}{3}x+8=y$
⇒    $y= \frac{1}{5}x-2$
   $y= \frac{1}{3}x+8$
________________________
$y= \frac{x}{5} -2= \frac{x}{5} - \frac{10}{5} = \frac{x-10}{5}$
$y= \frac{x}{3} +8= \frac{x}{3} + \frac{24}{3} = \frac{x+24}{3}$
________________________
$y= \frac{x-10}{5}$ ⇒    $5y=x-10$
$y= \frac{x+24}{3}$   ⇒    $3y=x+24$
________________________
$5y-x=-10$
$3y-x=24$

5 0

3 years ago

Instructions for a blanket call for 36 yards of yarn. A skein of yarn has 6 feet in in. How many skeins of yarn do you need?

Aloiza [94]

For this case the first thing you should know is the following unit conversion:
1 yard = 3 feet
Applying the conversion we have:
6 * (1/3) = 2 yards
Therefore the number of skeins of yarn is:
N = (36) / (2)
N = 18
Answer:
You need 18 skeins of yarn

5 0

3 years ago