Please help! If possible, please word your explanation simply.

Answer: His percent error = 5.38 %

He overestimated the gradient.

Step-by-step explanation:

Formula : [tex]Percent\ error =\dfrac{|Estimated\ value- Actual\ value|}{Actual\ value}\times100[/tex]

Given, Estimated gradient of trail  = 213.6 ft/mile

Actual gradient of trail  =  202.7 ft/mile

Since,  213.6 > 202.7 , that means he overestimated the gradient.

Percent error: [tex]\dfrac{|213.6-202.7|}{202.7}\times100[/tex]

[tex]=\dfrac{10.9}{202.7}\times100\\\\\approx5.38\%[/tex]

Hence, percent error = 5.38 %

5c+7d-5

c=-2 so 5x is 5x-2.

5x-2=-10

d=3 so 7d is 7x3.

7x3=21

-10+21-5

-10+21=11

11-5=6

The answer is 6

hope it helps!

Answer:

Step-by-step explanation:

5(-2) + 7(3) - 5

-10 + 21 - 5

11 - 5 = 6

Answer: 30 Feet

Step-by-step explanation:

In Technical drawings scales are used to reduce the size ( scaling ) of drawings so they fit in our drawing sheets. in this example above the drawer stated that 1inch was representing 5feet. what this means is that because we can’t get a drawing sheet which would be 40-100 feet wide we need to rescale our drawing to fit into the available sheet. So by saying 1inch equals 5feet this means the school bus is 30Feet in length.

Answer:

8

Step-by-step explanation:

Answer: 3/8

Step-by-step explanation: 9÷3=3 then 24÷3=8

Answer:

Step-by-step explanation:

a^2 + 12a - 7 - 3a^2 - 5a + 8

-2a^2 + 7a + 1

Answer: -19

Step-by-step explanation:

-8 -6 = -14

-14 - 5 = -19

Answer:

-19

Step-by-step explanation:

(-8)-6+(-5)

-14+(-5)

-19

Answer:

123

Step-by-step explanation:

Answer:

-24

Step-by-step explanation:

(4x + 1)(4x-1)

(4x-3 +1) (4x-3 +-1)

(-12+1) (-12 + -1)

-11 + -13

-24

Answer:

Money in the cash box is $150

Step-by-step explanation:

Let

x = money in the cash box

1/5 of the money in a cash box is 30 dollars

1/5 of x = $30

1/5 * x = 30

1/5x = 30

Divide both sides by 1/5

x = 30 ÷ 1/5

= 30 × 5/1

= 150/1

x = $150

Money in the cash box is $150

Answer:

A. 5 hours and 25 minutes

Step-by-step explanation:

8 - 3 = 5

50 - 25 = 25

8:50 pm - 3:25 pm = 5:25

A. 5 hours and 25 minutes

Answer:

Hey there!

Consecutive integers mean that the numbers are next to each other.

Consecutive even integers mean that the numbers are separated by a number between them.

Thus, if x is the smaller number, x+2 can be used to write the larger number.

x+x+2=1594

2x+2=1594

2x=1592

x=796.

The two numbers are  796 and 798.

Let me know if this helps :)

Answer:B

Step-by-step explanation:

The parabola f(x) = 2x² - 5x + 1 has been D. The parabola is translated down 2 units.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as it's degree is two.

We know the graph of a quadratic equation ax² + bx + c is a parabola that opens upwards and is symmetrical about the y-axis.

Given, a parabola f(x) = 2x² - 5x + 3.

Now it is changed to f(x) = 2x² - 5x + 1 which also can be written as,

f(x) = 2x² - 5x + 3 - 2, So it has been translated 2 units down along the y-axis.

learn more about quadratic equations here :

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Answer:

95

Step-by-step explanation:

30+30 is 60

60+35 is 95

Another way to do this is to use multiplication then add. (30x2=60)

Hope I helped!

95!

30+35=65

65+30=95

It helps to break up the problem.

Answer:30,41,66

Step-by-step explanation:

(X+7)+(2x-5)+(3x-3)=137

Solve for x

X=23 cm

Sides are 23+7=30

2*23-5=41

3*23-3=66

Answer:

1,000 friends will get 1 gram of gold bar each from 1 kilogram of gold bar

Step-by-step explanation:

1 kilogram of gold bar = 1,000 grams of gold bar

You have 1 kilogram of gold bar

You want each of your friends to get 1 gram

Number of friends that will get 1 gram of gold bar each = 1 kilogram of gold bar / 1 gram

= 1000 gram / 1 gram

= 1,000

Number of friends that will get 1 gram of gold bar each = 1,000 friends

Answer:  see below

Step-by-step explanation:

The result is the quotient of the numerators because the denominators cancel out.

[tex]\text{Consider}\ \dfrac{2}{7}\div \dfrac{3}{7}\\\\\\=\dfrac{2}{7}\times \dfrac{7}{3}\\\\\\\text{Cross-cancel the 7's:}\\=\dfrac{2}{3}[/tex]

9 1/10

Step-by-step explanation:

2 3/5 / 2/7 = 13/5 x 7/2 = 91/10 = 9 1/10

Answer:

Simplify the equation

Step-by-step explanation:

4x + 1 + x + -4

= 4x + x + 1 - 4

= 5x + -3

= 5x - 3

Hope this helps

Answer:

X=-5/3 or X=-1 2/3 or X=-1.66

Step-by-step explanation:

Combine like terms:

4x+1+x=-4

-x -x

3x+1=-4

-1 -1

3x=-5

Divide by 3:

3x/3=-5/3

X=-5/3

X=-1 2/3

X=-1.66

Answer:

x = 2

Step-by-step explanation:

-5(4x - 2) = -2(3 + 6x)

-20x + 10 = -6 - 12x            Distribute -5 to 4x and -2 and distribute -2 to 3 and

                                           6x

10 = -6 + 8x                        Add 20x to both sides

16 = 8x                                Add 6 to both sides

2 = x                                   Divide 8 to both sides

Answer:

-0.5

Step-by-step explanation:

-5(4x-2) = -2(3+6x)

-20x-10 = -6-12x

-10 = -6+8x

-4 = 8x

-0.5 = x

You are correct.

C is the constant, which is also called the slope.

Slope = change in y over the change in x:

Slope = 160-30 / 16-3 = 130/13 = 10

The equation would be y = 10x

Answer:

Solution:

(1/12)^(-2b) * 12^(-2b+2) = 12

(12^-1)^(-2b) (12)^(-2b+2) = 12

(12^2b)(12)^(-2b+2) = 12

12^(2b-2b+2) = 12

12^2 = 12

144 does not equal 12

No solution.

Step-by-step explanation:

The measure of angle PNL will be equivalent to 69 degrees.

A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

The sum of two sides of a triangle is greater then the third side. Mathematically -

a + b > c

There are different types of triangles such as -

equilateral triangle , scalene triangle , isosceles triangle etc.

Given is a triangle KLM such that N is a midpoint of KL and P is a midpoint of LM.

Triangles LMP and LKM are similar to each other. Therefore, PN will be parallel to MK. So angle PNL will be equal to angle MKN. Therefore -

2x + 61 = 97 - 7x

9x = 97 - 61

9x = 36

x = 4

So, angle PNL will be equal to -

2 x 4 + 61

69 degrees

Therefore, the measure of angle PNL will be equivalent to 69 degrees.

To solve more questions on triangles, visit the link below-

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Answer:

x = 58

Step-by-step explanation:

Angle =  1/2(difference of intercepted arcs)

51 = 1/2 ( 160 -x)

Multiply each side by 2

2*51 = 160-x

102 = 160-x

Subtract 160

102 -160 = -x

-58 = -x

58 =x

Answer:

15c

Step-by-step explanation:

15 multiplyed by c gives 15c

In an algebraic expression, the product of 15 and c can be represented as 15c.

The term "product" refers to the result of multiplying two or more numbers or variables together. In this case, we are multiplying the number 15 by the variable c.

The expression 15c represents 15 multiplied by the value of c. It can be thought of as 15 times an unknown value represented by c. The variable c can represent any real number or algebraic expression, depending on the context of the problem or equation.

For example, if c is equal to 2, then the product 15c would be equal to 15 multiplied by 2, resulting in 30. Similarly, if c is equal to -3, then the product would be -45 since multiplying 15 by -3 gives -45.

To learn more about the expression;

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Answer:

12.5 miles per hour

Step-by-step explanation:

The speed is the distance divided by time.

3.75 miles/0.3 hours= 12.5 miles per hour

Answer:

12.5 miles per hour

Step-by-step explanation:

To answer this question you have to make sure that the hours (denominator) equals to 1. To do this, divide 3.75 by 0.3, thus making the 0.3 hours into 1 hour. This results in 12.5 miles per hour, the correct answer. Hope this helped!

Answer:

-1

Step-by-step explanation:

let 'x' be the unknown number

4x+(-8)=12x

4x-8 =12x

-8=12x-4x

-8=8x

-8=8x

8 8

x=-1

hope it helps ❤❤❤

For any question comment me

8×4=32

3 × 7 = 21 +9 = 30

32 - 30 = 2

Answer:

Piecewise

Step-by-step explanation:

For a piecewise function, the domain is broken into pieces, with a different rule defining the function for each piece.

Piecewise functions are usually a function that equals two or more equations depending on the x or the domain.

Google piecewise functions to see examples.

I hope this helps!

Answer: Piecewise

Step-by-step explanation:

There will be breaks and jumps in the curve, particularly when a value would undefined. So the solution curve looks like disconnected pieces.