Davie and Horatio are riding their motorbikes on a scenic tour that is 80 miles long. Davie rides at 20 miles per hour and leaves 90 minutes before Horatio. How fast must Horatio ride to finish at the same time as Davie?
24 mph
24.5 mph
32 mph
33.3 mph

Answer:

Option (b) will be the correct answer.

Step-by-step explanation:

190×10⁸

1.9×10²×10⁸

1.9×10¹⁰

Answer:

B

Step-by-step explanation:

190 x 10^8 = 19000000000

1.9 x 10 ^10= 19000000000

Answer:

x=0.75645 in radians

x=43.34175 in degrees

Step-by-step explanation:

cos(x)=8/11

Answer:

approximately 46.66

Step-by-step explanation:

label the following sides as 11=h and 8=o.

circle the missing angle x

remember SohCahToa

since you have h and o that means you are using (sin) on your calculator and since the angle is missing you do the inverse of sin multiplied by (8/11)

Answer: x = 2√3.

Step-by-step explanation:

[tex]x^{2} +6^{2} =(2x)^{2}\\\\x^{2} +36=4x^{2} \\\\4x^{2}-x^{2} -36=0\\\\3x^{2} -36=0\\\\3(x^{2} -12)=0\\\\x^{2} -12=0\\\\x^{2} =12\\\\x=\sqrt{12} =2\sqrt{3}[/tex]

Answer: The answer is 31.25 because The mean of 16 items was found to be 30. So once you checked, it was that 2 items were wrongly taken as 22 and 18 instead of 32 and 28 respectively. Sum = mean  no of items = 30  16 = 480

(32 +28) – (22 + 18) = 20

Correct mean =  = 31.25

Step-by-step explanation: My apologize that I took long I hope this helps.

Answer:

6 3/

5

= 6.6

Step-by-step explanation:

Conversion a mixed number 2 3/

5

to a improper fraction: 2 3/5 = 2 3/

5

= 2 · 5 + 3/

5

= 10 + 3/

5

= 13/

5

To find new numerator:

a) Multiply the whole number 2 by the denominator 5. Whole number 2 equally 2 * 5/

5

= 10/

5

b) Add the answer from previous step 10 to the numerator 3. New numerator is 10 + 3 = 13

c) Write a previous answer (new numerator 13) over the denominator 5.

Two and three fifths is thirteen fifths

Add: 4 + 13/

5

= 4/

1

+ 13/

5

= 4 · 5/

1 · 5

+ 13/

5

= 20/

5

+ 13/

5

= 20 + 13/

5

= 33/

5

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(1, 5) = 5. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1 × 5 = 5. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - four plus thirteen fifths = thirty-three fifths.

Answer:

Así es como lo escribes ^_^

Step-by-step explanation:

32.755

y si no lo siento

Answer:

Treinta y dos con siete mil quinientas cuarenta y ocho diéz milésimas y mil.

Espéro que te sirva!

Answer:

prime number

Step-by-step explanation:

Answer:

h = 5 (3+p)

Step-by-step explanation:

3 hrs = $45 + $15p

h = 45+15p / 3 (This was supposed to be a fraction)

h = 15 (3+p)/ 3 (This was supposed to be a fraction)

h = 5 (3+p) (You might use different variables from me)

hrs = hours

p = per person

Brainlist pls!

Answer:

CD = 45

Step-by-step explanation:

CE = 180

( x + 6 ) + ( 4x - 21 ) = 180

5x - 15 = 180

5x = 195

x = 39

substitute x in CD

CD = x + 6

CD = 39 + 6

CD = 45

Answer:

68°

Step-by-step explanation:

We can find this by remembering that tangents meet a circle at a ninety degree angle with the diameter or a radius that touches the point of intersection. By understanding that because these two tangents intersect at a point outside the circle there angle measure is the same so we can use the 180° total in a triangle to find the remaining degrees to be divided into the two measures we need to find. Because 180 - 48 equals 132 we divide this by 2 to get our angle measure of 68 degrees.

Answer:

x = 25

Step-by-step explanation:

A quadrilateral is inscribed in a circle, so it is a cyclic Quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

Therefore,

3x + 21y = 180°.....(1)

2x + 26y = 180°.....(2)

From equations (1) & (2)

3x + 21 y = 2x + 26y

3x - 2y = 26y - 21y

x = 5y

y = 1/5 x

Plug y = 1/5 x in equation (1)

3x + 21*1/5x = 180

15x + 21x = 180*5

(Multiplying both sides by 5)

36x = 900

x = 900/36

x = 25

Answer:

79

Step-by-step explanation:

x2 + 11x + 1,

first step substituion

6(2) + 11(6)+ 1

multiply

12+66+1

add like terms

79

Answer:

103

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

128 square feet

Step-by-step explanation:

Horizontal Gray parts:

12 - 8 = 4 ÷ 2 = 2

2 * 24 = 48 * 2 = 96

Vertical gray parts:

24 - 20 = 4 ÷ 2 = 2

2 * 8 = 16 * 2 = 32

All together:

96 + 32 = 128 square feet

Answer:

x=0

Step-by-step explanation:

Answer:

The answer is 120 feet.

Step-by-step explanation:

The area of the field (A) is:

A = w · l       (w - width, l - length)

It is known:

A = 12,000 ft²

l = w - 20

So, let's replace this in the formula for the area of the field:

12,000 = w · (w - 20)

12,000 = w² - 20

⇒ w² - 20w - 12,000 = 0

This is quadratic equation. Based on the quadratic formula:

ax² + bx + c = 0      ⇒  

In the equation w² - 20w - 12,000 = 0, a = 1, b = -20, c = -12000

Thus:

So, width w can be either

or

Since, the width cannot be a negative number, the width of the field is 120 feet.

The length of the field is 120 feet.

Option C is the correct answer.

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

Let's start by using the given information to set up two equations:

Let x be the length of the field in feet.

Then, the width of the field is x - 20 feet.

The area of the field is given as 12,000 square feet:

x (x - 20) = 12,000

Expanding the left side of the equation, we get:

x² - 20x = 12,000

Bringing all the terms to one side, we get:

x² - 20x - 12,000 = 0

Now, we can solve this quadratic equation using factoring,

Completing the square, or the quadratic formula.

Here, we will use factoring:

x² - 20x - 12,000 = 0

(x - 120) (x + 100) = 0

The solutions are x = 120 and x = -100, but a negative length doesn't make sense, so we reject that solution.

Therefore,

The length of the field is 120 feet.

To check, we can substitute x = 120 into the equation for the width:

Width = x - 20 = 100 feet

Area = Length x Width

= 120 ft x 100 ft

= 12,000 sq ft

Thus,

The length of the field is 120 feet.

Learn more about rectangles here:

https://brainly.com/question/15019502

#SPJ7

Answer: 5040

Step-by-step explanation: There are 4 sides which is equal to 1260, 1260 x 4 = 5040

Answer:

e(to the power of 9)

Step-by-step explanation:

when you multiply variables with exponents, you have to add the exponents together.

Hi there!

Answer:   [tex]\huge\boxed{\ e^9}[/tex]

Explaination:

  1. e^5 multiplied by e^4 = e^(5 + 4) = e^9

Hope this helps!

Answer:

x-8=37

37+8=x

45=x

45 is your answer

Step-by-step explanation:

Answer:

1308

____________

The correct answer is 1308.

Answer:

92 m

Step-by-step explanation:

Use the Pythagorean theorem to find the length of the shorter side.

Let w = length of the shorter side.

[tex]w^{2} + 30^{2} = 34^{2} \\ w^{2} + 900 = 1156\\w^{2} = 256\\w = \sqrt{256} = 16[/tex]

The perimeter is 2l + 2w = 2(30) + 2(16) = 60 + 32 = 92 m

Answer: Usually the formula for the volume of a prism is V=b(h)—> In words, Volume equals base times height. This means the height 10 would replace h. —> V=b(10). Next we want to find the B in the forumla. If you notice the question says that the base is 24 square centimeters. So our new formula is V=24(10). So option C, V=24x10 is the correct answer.

Given:

Length of the parallelogram = 25 feet

Width of the parallelogram = 20 feet

Perpendicular distance from the long side to the opposite long side = 18 feet.

To find:

The area of the piece of land which is a parallelogram.

Solution:

Area of a parallelogram:

[tex]Area=Base\times height[/tex]

Let the longer side, 25 feet is the base, then the height of the parallelogram is 18 feet. So, the area of the parallelogram is

[tex]Area=25\times 18[/tex]

[tex]Area=450[/tex]

Therefore, the area of the piece of land is 450 square feet.

Answer:

100 + 50m = 250

50m = 250 - 100

50m/50 = 150/50

m = 3

Alyson will have to save for 3 months to have a total of $250.