The original price of a bicycle was $400. Now it is on sale for $300. What percentage of the original price was the markdown?

Answer:

7.58

Step-by-step explanation:

Answer:

m = 70°

Step-by-step explanation:

∠IHA + ∠AHG = 180   {Linear pair}

∠IHA + 120   = 180

           ∠IHA = 180 - 120 = 60

In ΔABH ,

∠A + ∠AIH + ∠AHI = 180         {Angle sum property of triangle}

50 + ∠AIH + 60 = 180

       ∠AIH  + 110 = 180

              ∠AIH    = 180 - 110

∠AIH  = 70°

BG // CK and AD  is transversal,

m = ∠AIH                {Alternate interior angles}

m = 70°

Answer:

No lines are parallel, hope this helped!!!

The angle formed by intersections are not the same thus non of the line will parallel so option (D) is correct.

Two lines in the same plane that are equally spaced apart and never cross each other are said two lines in the same plane that are equally spaced apart and never cross each other to be parallel lines.

As per the given line and intersecting line.

Line d is making some angles with lines a,b, and c.

If any of the two lines amount a,b and c would parallel then the angle would be the same.

Since none of the angles is the same thus none of the given lines will be parallel.

Hence "Since intersections do not form an identical angle, no line will be parallel".

To learn more about parallel lines;

https://brainly.com/question/16701300

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Answer:

x = -6

Step-by-step explanation:

Answer:

the answer is 4.00 Yw for the help

Answer:

-4/3

Step-by-step explanation:

y2 - y1 / x2 - x1

-9 - (-1) / 0 - (-6)

-4/3

Answer:

g = 8

Step-by-step explanation:

32 g = 4 g squared if you move it over, so divide both sides by 1 g and you get 4g = 32, so g = 8

Answer:

g is 8

Step-by-step explanation:

Answer:

[tex]\text{(C) }110^{\circ}[/tex]

Step-by-step explanation:

The angle marked [tex]110^{\circ}[/tex] and the angle marked by [tex]x[/tex] are vertical angles (on opposite sides of the intersection of two lines). All vertical angles are equal, therefore [tex]x=\boxed{\text{(C) }110^{\circ}}[/tex].

Answer:

a.0.25

b.15/100=3/20

c.17*100/40=1700/40=42.5%

Answer:

The cost of one pound of hamburger is $3.20.

Step-by-step explanation:

A)

11.20 ÷ 3.5

$3.20 per lb

B)

Write a proportion:

Variable x = cost per 1 lb

3.5/11.20 = 1/x

Cross multiply:

3.5 × x = 11.20 × 1

3.5x = 11.20

x = 3.2

$3.20 per lb

Answer:

A. [tex]12y[/tex]

Step-by-step explanation:

Subtract like normal 28 - 16 = 12

so then it's 12y

Answer:

-4.

Step-by-step explanation:

Let x be the multiplicative inverse, then:

-1/4 * x = 1

x = 1 / (-1/4)

= 1 * -4

= -4.

Answer:

-4

Step-by-step explanation:

Answer:

Speed of the slower truck = 57.5 miles/hour

Speed of the faster truck = 62.5 miles/hour

Step-by-step explanation:

Using missing information;

Assume;

Speed of the slower truck = a

Speed of the faster truck = a + 5

Distance traveled by the slower truck = d

Distance traveled by the faster truck = 600 - d

So,

a(5) = d ........ Eq1

(a+5)(5) = 600 - d

5a + 25 = 600 - d

So,

5a + 25 = 600 - 5a

10a = 575

a = 57.5

Speed of the slower truck = 57.5 miles/hour

Speed of the faster truck = a + 5

Speed of the faster truck = 57.5 + 5

Speed of the faster truck = 62.5 miles/hour

Answer:

A.) 4 x (y + 7)

Step-by-step explanation:

4 times means that you are going to be multiplying something by 4. It says 4 times the sum of y and 7. This means that you are going to multiply whatever y and 7 equal by 4. Sum means addition. So that's going to be that you are multiplying what the combined total of y and 7 is by 4.

I hope this helped :)

Answer:

Answer:

4.5 units

Step-by-step explanation:

PQ transferred to WX, and QR to XY.

PQ = 4, WX = 6, so the scaling factor x applies so that we create 6 or of 4 :

4 × x = 6

x = 6/4 = 3/2

the save scaling factor applies now to all other sides too due to the fact that the same transformation was done to the whole shape.

=> QR × 3/2 = XY.

3 × 3/2 = 9/2 = 4.5 = XY

Answer:

Step-by-step explanation:

Think of this as a circle in a larger circle, and the area thats only taken by one circle is the area of the path.

One Circle has area 11.5, while the other has a area of 15.5

The area of the smaller circle is 11.5^2*pi or 132.25pi

The area of the larger circle is 15.5^2*pi or 240.25pi

The area of the path is 108pi or 339.12

Answer: A quadrilateral with four interior acute angles

Step-by-step explanation:

If you add four angles for quadrilateral = 360 & acute angle is less than 90 degrees so it isn't possible.

Answer:

The integers could be 21 and 22

or -22 and -21

Step-by-step explanation:

If two integers are consecutive, then it means that their difference is just 1

if we have the initial value as x , then the other value could be x-1 or x + 1

let us go with x-1

So the product here is;

x(x-1) = 462

x^2-x = 462

x^2 -x -462 = 0

x^2 -22x + 21x - 462 = 0

x(x-22) + 21(x-22) = 0

(x + 21)(x-22) = 0

x = -21 or x = 22

If x = -21

x -1 = -21-1 = -22

if x = 22

x -1 = 22-1 = 21

Answer:

I think the answer is 11x

Answer:

11x

Step-by-step explanation:

Pink area  = 6x

Green area  = 5x

Total (sum) = 6x+5x =11x

Answer:

1)80m³

2)240in³

3)144 cm³

Answer:

Step-by-step explanation:

In order to find the max height the ball reached, we have to complete the square on that quadratic. That will also, conveniently so, give us the number of seconds it will take the ball to reach that max height, that answer to part b. Let's begin to complete the square. Normally, you would move the constant over to the other side of the equals sign, but there is no constant here. The next step is to get the leading coefficient to be a 1, and ours right now is a -15. So we have to factor it out. Here's where we start the process of completing the square.

[tex]-15(t^2-\frac{20}{3}t)=0[/tex] Next step is to take half the linear term, square it, and add it to both sides. Our linear term is 20/3. Half of 20/3 is 20/6, and 20/6 squared is 400/36.

[tex]-15(t^2-\frac{20}{3}t+\frac{400}{36})=0+???[/tex] Because this is an equation, what we add to the left side also has to be added to the right. BUT we didn't just add in 400/36, because we have that -15 out front as a multiplier that refuses to be ignored. What we actually added in was -15(400/36):

[tex]-15(t^2-\frac{20}{3}t+\frac{400}{36})=0-\frac{500}{3}[/tex]

The reason we do this is to create a perfect square binomial on the left which will serve as the number of seconds, h, in the vertex (h, k), where h is the number of seconds it takes the ball to reach its max height, k. Simplifying both sides then gives us:

[tex]-15(t-\frac{20}{6})^2=-\frac{500}{3}[/tex] Finally, we will move the right side over by the left and set the quadratic back equal to h(t):

[tex]h(t)=-15(t^2-\frac{20}{3})^2+\frac{500}{3}[/tex] and from that you can determine that the vertex is [tex](\frac{20}{3},\frac{500}{3})[/tex].

The answer to a. is vound in the second number of our vertex: k, the max height. The max of the golf ball was 500/3 feet or 166 2/3 feet.

Part b is found in the first number of the vertex: h, the number of seconds it took the golf ball to reach that max height. The time it took was 3 1/3 seconds.

Part c. is to state the domain (the time) and the range (the height) of the ball.

Domain is

D: {x | 0 ≤ x ≤ 3 1/3} and

Range is

R: {y | 0 ≤ y ≤ 166 2/3}

Answer: average time in minutes that it will take to drive from campus to workplace

Step-by-step explanation:

The dependent variable refers to the variable that the researcher is testing or measuring in an experiment. Let's say for example, we want to know the impact of reading on the examination score of a student. In this case, the dependent variable will be the examination score of the student since that's what we're measuring.

With regards to the question, the dependent variable is average time in minutes that it will take to drive from campus to workplace.

Answer:

The answer is w=lhv

solution

v=lwh

v\w=lh

w=lhv

Answer:

Step-by-step explanation:

6 is the maximum value

so the inequality is

x ≤ 6

Answer:

Part A:

The inequality would be less than or equal to, since the temperature isn't greater than 6, but the phrase doesn't get rid of the possibility that it could be less than 6. Hope that makes sense!

Also, the inequality sign would be: ≤

Part B:

For the graph, you woulld plot a closed circle on the 6, with an arrow heading left.

Hope this helps!