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myrzilka [38]
3 years ago
7

A motorboat left a harbor and traveled to an island at an average rate of 10 knots. The average speed on the return trip was 10

knots. If the total trip took 4.0 hours, how far is the harbor from the island?
Mathematics
1 answer:
Illusion [34]3 years ago
5 0

Answer:

A on edu2020

Step-by-step explanation:

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caroline bought 6 pieces of gold ribbon. each piece was 3/5 of a yard long. How many yards of ribbon did she buy in all?
Zarrin [17]

Answer:

= 3 3/5 yards

Step-by-step explanation:

If 1 piece = 3/5 yard

What about 6 pieces = ?

= (6 x 3/5) ÷ 1

= 18/5 ÷ 1

= 18/5

= 3 3/5 yards

5 0
3 years ago
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the
kenny6666 [7]

Given:

The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation

y=-29x^2+1388x-10040

To find:

The maximum amount of profit the company can make, to the nearest dollar.

Solution:

If a quadratic equation is f(x)=ax^2+bx+c, then the vertex is

Vertex=\left(-\dfrac{b}{2a},f(-\dfrac{b}{2a})\right)

If a>0, then vertex is the minimum point and if a<0, then the vertex is the maximum point.

We have,

y=-29x^2+1388x-10040

Here, a=-29,b=1388, c=-10040. Clearly, a<0. So, the vertex is the point of maxima.

-\dfrac{b}{2a}=-\dfrac{1388}{2(-29)}

-\dfrac{b}{2a}=-\dfrac{1388}{-58}

-\dfrac{b}{2a}\approx 23.931

Putting x=23.931 in the given equation, we get

y=-29(23.931)^2+1388(23.931)-10040

y=-16608.09+33216.228-10040

y=6568.138

The vertex is at (23.931,6568.138).

Therefore, the maximum profit is $6568.138 when x=23.931.

5 0
3 years ago
A living room measures 24 feet by 15 feet. An adjacent square dining room measures 13 feet on each side. If carpet costs $6.98 p
blsea [12.9K]

Answer:

total cost of putting carpet in both rooms is $3692.42

Step-by-step explanation:

given data

living room length = 24 feet

living room width = 15 feet

dining room is square so length and width will be same

dining room length = 13 feet

dining room width = 13 feet

carpet costs =  $6.98 per square foot

to find out

what is the total cost of putting carpet in both rooms

solution

first we find the total area of both room that is

area of living room = length × width      .................1

area of living room = 24 × 15

area of living room = 360 feet²      ...........................2

and

areas of dining room = length × width

area of dining room = 13 × 13

area of dining room = 169 feet²    ...............................3

so total area = add equation 1 and 2

total area = 360 feet² + 169 feet²  

total area = 529 feet²  

and

total cost of putting carpet in both rooms are = total area × carpet costs    .................4

put here value

total cost of putting carpet in both rooms  = 529  ×  $6.98

total cost of putting carpet in both rooms  =$3692.42

6 0
3 years ago
Is 16 lb greater than 256 oz?
Black_prince [1.1K]
Since there are 16 oz in 1 lb, take 256, divide it  by 16, and the answer is 16. Therefore both are the same because 16 lbs = 16lbs
4 0
3 years ago
Read 2 more answers
A recipe for salad dressing calls for 3 tablespoons of oil for every 2 tablespoons of vinegar. The line represents the relations
pochemuha

Answer:

3:2, 3 to 2

Step-by-step explanation:

4 0
3 years ago
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