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Anarel [89]
3 years ago
15

15 points!! The power P (measures in horsepower, hp) needed to propel a boat is directly proportional to the cube of the speed s

. A 73-hp engine is needed to propel a certain boat at 10 knots. Find the power needed to drive the boat at 19 knots. (Round your answer to the nearest whole number.)
Mathematics
1 answer:
dmitriy555 [2]3 years ago
5 0
The power Needed to drive the boat at 19 knots is 24
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The angle measurements in the diagram are represented by the following expressions​
KIM [24]

Answer:

x = 12

∠A = 144

Step-by-step explanation:

+ We have: ∠A = ∠C (alternate interior)

                ∠D = ∠C ( vertically opposite angles)

=> ∠A = ∠C (because = ∠C)

=> 10x + 24 = 6x + 72

=> 10x - 6x = 72 - 24

        4x      = 48

          x      = 12

+ ∠A = 10x + 24

 ∠A = 10 x 12 + 24

∠A = 144

7 0
3 years ago
James earned $816 each year. He earned x dollars less per month than Matt, who earned $80 per month. Equation: 12(80 – x) = 816
Sphinxa [80]

Answer:

substitute 12 for x in the equation

multiply 68 by 12 months

6 0
3 years ago
Read 2 more answers
How long would take you to drive around the earth at 80mph
Bess [88]

Answer:

311.25 hours ; almost 13 days

Step-by-step explanation:

actually you will not able to drive a car all the way around the earth (the Pacific and Atlantic oceans are really big).

but According to the calculation it would take you around 311.25 hours ( almost 13 days) to drive the 24,900 miles around the circumference of the earth at its widest point (the equator).

because we know ,

t=s/v

 =(24,900/80)hours                    [ s= the circumference of the earth]

 =311.25 hours                              [v=Velocity]

3 0
3 years ago
Describe in words how to graph the line y=-2/3 + 2
ehidna [41]

Answer:

Hi there!

Your answer is:

Based off the problem we can tell that the slope is -2/3 and the y intercept is 2. This means we must start our line at the point (0,2). Since slope is in the form rise/run, we know that we must go UP 2 units for every 3 units we go LEFT! We know to go left (As x goes to positive infinity, y goes to negative infinity. ) because the slope is negative!

Hope this helps

7 0
3 years ago
A new soup recipe contains 33 percent less sodium per serving than the old soup recipe. The old soup recipe contained x milligra
masya89 [10]

Answer:

The expressions that could represent the amount of sodium per serving, in milligrams, in the new soup recipe is <u>a) 0.67x</u>

Step-by-step explanation:

Given:

A new soup recipe contains 33 percent less sodium per serving than the old soup recipe. The old soup recipe contained x milligrams of sodium per serving.

Now, to find the expression that could represent the amount of sodium per serving, in milligrams, in the new soup recipe.

<em>The old soup recipe contained sodium per serving = </em>x\ milligrams.<em />

<em>As given, the new soup recipe contains 33 percent less sodium per serving than the old soup recipe.</em>

So, to get the amount of new soup recipe sodium per serving we write an equation:

x-33\%\ of\ x

= x-\frac{33}{100} \times x

= x-\frac{33x}{100}

= x-0.33x

= 0.67x.

<u><em>Thus, the expression </em></u>0.67x<u><em> milligrams represent the amount of sodium per serving in new soup recipe.</em></u>

Therefore, the expressions that could represent the amount of sodium per serving, in milligrams, in the new soup recipe is a) 0.67x.

5 0
3 years ago
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