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DanielleElmas [232]
3 years ago
7

A 17-foot piece of string is cut into two pieces so that the longer piece is 5 feet longer than twice the shorter piece. Find th

e lengths of both pieces
Mathematics
1 answer:
Vilka [71]3 years ago
8 0

You wanna write an equation to find out what the two lengths will be. Because the string in 17 feet the equation has to equal 17. Then for the shorter length you need to symbolize it with a variable (x). For the longer side it is the smaller number plus five(x+5).

Therefore, the equation is x+(x+5)=17

from there you get x= 6ft   which leaves the longer side equaling 11ft

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Bill wanted to try out different water craft he went 62 mikes downstream in a motor boat and 27 mikes down stream on a jest ski
valina [46]

Answer:

The speed on motorboat is 20 mph

Step-by-step explanation:

here, we want to find the speed on the motorboat

if he has a speed of x mph on the motor boat, his speed on the ski will be (x + 10) mph

The total hours is 4 hours

Mathematically; speed = distance/time

Time on ski is 27/x+ 10

Time on motor boat is 62/x

The addition of both is 4

Thus;

27/(x + 10) + 62/x = 4

27(x) + 62(x + 10) = 4(x)(x + 10)

27x + 62x + 620 = 4(x^2 + 10x)

89x + 620 = 4x^2 + 40x

4x^2 -49x-620 = 0

using the quadratic formula;

{-b ± √(b^2-4ac)}/2a

where a = 4, b = -49 and c = -620

= 49 ± √(-49)^2-4(4)(-620)/8

So we have

49+ 111/8 or 49-111/8

Speed cannot be negative

(49 + 111)/8

= 20 mph

3 0
2 years ago
A new car depreciates as soon as you drive it out of the parking lot. A certain car depreciates to half its original value in 4
Alexandra [31]

Answer:

Original price of car = $20,000

Step-by-step explanation:

Let the original price of the car be 'x' dollars.

Given:

Here, the depreciation of the car is occuring exponentially as the value depreciates to half in every four years.

Worth of car after 8 years = $5000

Value after depreciation in 4 years = Half of original value = \frac{x}{2}

So, value of car after depreciation in another 4 years = Half of the value after 4 years = \frac{1}{2}(\frac{x}{2})=\frac{x}{4}

Therefore, final depreciated value after 8 years is \frac{x}{4}.

But, as per question, final depreciated value is $5000. Thus,

\frac{x}{4}=5000\\x=5000\times 4\\x=20000

Therefore, the original price of the car was $20,000.

3 0
3 years ago
What is 4+1 lets see how smart u sre
Sliva [168]

Answer:

its legit 5

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
What is the coefficient in the mathematical expression?
barxatty [35]

Using it's concept, it is found that the coefficient of the mathematical expression 7m² + 2(19) is of 7.

<h3>What is the leading coefficient of a polynomial?</h3>

The leading coefficient of a polynomial is the <u>term that multiplies the highest exponent</u>.

In this problem, the expression is given by:

7m² + 19.

The highest exponent is of 2, in m², hence the leading coefficient is of 7.

More can be learned about the coefficient of a mathematical expression at brainly.com/question/24380382

#SPJ1

4 0
2 years ago
*The rectangle to the left is divided into 12 shapes. One of them is a rectangle labeled with #1 and the remaining 11 shapes are
Mandarinka [93]

Given that the length of side of shaded area is 1 ft.

Making equal square of size of shaded area we have:

Horizontally number of shaded area are 12

Vertically number of shaded area are 11

So, the horizontal length of big rectangle is 12 ft.

The vertical length of big rectangle is 11 ft.

Area of big rectangle is 12*11

Area of given rectangle is 132 sq.ft.

6 0
3 years ago
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