Keya is training for a duathlon competition comprised of running and biking. Her training involves running for LaTeX: RR minutes and biking for LaTeX: BB minutes. The expression LaTeX: 100R+300B100 R + 300 B is the total distance, in meters, that Keya travels during her training. If Keya runs for 30 minutes and bikes for 60 minutes, what is the total distance Keya travels?

Answer:

Width = 44 yards

Length = 171 yards

Step-by-step explanation:

Given:

Perimeter of the rectangular field = 430 yards.

Let:

The length of the field be L

The width of the field be W.

From the question:

The length of the field is 5yards less than quadruple the width. This implies that;

L = 4W - 5

But.

Perimeter (P) of a rectangle is given by:

P = 2(L + W)       ---------------(i)

Substitute the values of P = 430, L = 4W - 5 and W into equation (i) as follows;

430 = 2(4W - 5 + W)

430 = 2(5W - 5)

430 = 10W - 10

10W = 430 + 10

10W = 440

Divide both sides by 10

W = 44

Therefore, the width of the field is 44 yards.

Remember that,

L = 4W - 5          

[Now substitute W = 44]

L = 4(44) - 5

L = 176 - 5

L = 171

Therefore, the length of the field is 171 yards

Answer:

(3,-5)

Step-by-step explanation:

Given

[tex]M = (2,2)[/tex]

[tex]H = (1,9)[/tex]

Required

Determine G

This is calculated using the following midpoint formula;

[tex]M(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})[/tex]

Where

[tex](x,y) = (2,2)[/tex] and [tex](x_1,y_1) = (1,9)[/tex]

Substitute these values in the formula above

[tex](2,2) = (\frac{1 + x_2}{2},\frac{9 + y_2}{2})[/tex]

Solving for [tex]x_2[/tex]

[tex]2 =\frac{1 + x_2}{2}[/tex]

Multiply both sides by 2

[tex]2 * 2 = 1 + x_2[/tex]

[tex]4 = 1 + x_2[/tex]

[tex]x_2 = 4 - 1[/tex]

[tex]x_2 = 3[/tex]

Solving for [tex]y_2[/tex]

[tex]2 = \frac{9 + y_2}{2}[/tex]

Multiply both sides by 2

[tex]2 * 2 = 9 + y_2[/tex]

[tex]4 = 9 + y_2[/tex]

[tex]y_2 = 4 - 9[/tex]

[tex]y_2= -5[/tex]

Hence, the coordinates of G is [tex](3,-5)[/tex]

Greetings from Brasil...

Before comparing mixed fractions, let's make them inappropriate

2 1/2 = 5/2

3 1/3 = 10/3

Comparing fractions. (MMC - Maximum Common Multiple - I don't know that term in English)

2 1/2 = 5/2 = 15/6

3 1/3 = 10/3 = 30/6

30/6 > 15/6  then

Answer:

[tex]Wood\ remain = 1\frac{3}{4}[/tex]

Step-by-step explanation:

Note; given question is incomplete

Size of pieces = [tex]1\frac{2}{3} ,2\frac{3}{4} , 3\frac{5}{6}[/tex]

Given:

Size of wood = 10 ft

Find:

How much wood remain

Computation:

Wood remain = [tex]10-1\frac{2}{3} -2\frac{3}{4} - 3\frac{5}{6}[/tex]

[tex]Wood\ remain = 10-\frac{5}{3} -\frac{11}{4} - \frac{23}{6}\\\\Wood\ remain = 10 - \frac{99}{12} \\\\Wood\ remain = 1\frac{3}{4}[/tex]

Answer: 7x+21

HOPE THIS HELPS :>

Step-by-step explanation:

Answer:

Any value of D would make this equation true (-∞,∞)

Answer:

infinitely many solutions

Step-by-step explanation:

i ready

Answer:

-1,  0.05,  0.1,  2/3,  8/7

Step-by-step explanation:

Answer:

[See Below]

Step-by-step explanation:

✦ First turn every number into a decimal that can be turned into a decimal:

  ✧ 0.1

  ✧ 1.14 (8/7)

  ✧  -1 (Can't be turned into a decimal)

  ✧ 0.66 (2/3)

  ✧ 0.05

✦ Now just order them from Least to Greatest:

  ✧ -1, 0.05, 0.1, 0.66, 1.14

~Hope this helps Mate. If you need anything feel free to message me.

Answer:

its c

Step-by-step explanation:

Answer:

Not really. No.

Step-by-step explanation:

15.3 in scientific notation would be represented as "1.53e+1." 15.3 isn't a very large or tiny number. Usually numbers that would be represented by scientific notation would be numbers such as "600,000,000" or "0.00000012" etc. 15.3 is just a standard decimal so it's not really practical.

Hope this helps and have a nice day!

Answer:

(4,-2)

Step-by-step explanation:

coordinate of midpoint(x1+x2)/2, (y1+y2)/2

x1=6, x2=2 , y1=-7, y2=3

x=6+2/2 ⇒8/2=4

y=-7+3/2 ⇒ y=-4/2=-2

(4,-2)

Answer:

50

Step-by-step explanation:

Because this is an isosceles triangle, the two bottom angles are equal.

180-80=100

100÷2=50°

Answer:

252

9x9=81 +3=84

84x3=252

Answer:

90

Step-by-step explanation

(9x9)+(3x3) so first i multiplied 9x9= 81.

then i did 3x3 which is 9

then i added 9+81=90

so the answer is 90

Answer:

($26,000/100)*94 = $24,440

Step-by-step explanation:

Divide 26,000 by 100 and multyply by 94 (100% - 6%) =  $24,440

this is the answer of this question you have send If m∠EBD = 36 °and m∠DBC = 108 ° , find m∠EBC

Answer:

X-16 the first one

Step-by-step explanation:

The first one is equal to x-4

Answer

Step-by-step explanation:

[tex] \sf{ \frac{40}{x + 1} = \frac{15}{6} }[/tex]

Do cross multiplication

[tex] \dashrightarrow{ \sf{15(x + 1) = 40 \times 6}}[/tex]

Distribute 15 through the parentheses

[tex] \dashrightarrow \sf \: 15x + 15 = 40 \times 6[/tex]

Multiply the numbers : 40 and 6

[tex] \dashrightarrow{ \sf{15x + 15 = 240}}[/tex]

Move 15 to right hand side and change it's sign

[tex] \dashrightarrow{ \sf{15x = 240 - 15}}[/tex]

Subtract 15 from 240

[tex] \dashrightarrow \: \sf{15x = 225}[/tex]

Divide both sides by 15

[tex] \dashrightarrow{ \sf{ \frac{15x}{15} = \frac{225}{15} }}[/tex]

Calculate

[tex] \dashrightarrow{ \sf{x = 15}}[/tex]

Hope I helped!

Best regards! :D

Answer:

Answer is C.) a 90° counterclockwise rotation about the origin and then a translation 16 units right and 16 units up

Step-by-step explanation:

Rotating the triangle 90° counterclockwise will take the triangle to 3rd quadrant and then further moving it 16 steps right will take it to 4th quadrant and followed by 16 steps upward will take it to the desired position which is in 1st quadrant.

Step-by-step explanation:

For example, in order to multiply 832,000 by 0.00035, one converts first to scientific notation as follows: (832,000)×(0.00035)=(8.32×10 5)×(3.5×10 −4)=8.32×3.5×10 5×10 −4=29.12×10 1=2.912×10 2 (in scientific notation) or 291.2 (in ordinary notation).

Answer:

0.00035 = 3.5 × 10 to the -4

Hope it helps :)

Answer:

Step-by-step explanation:

greatest to least

1. 7.81 x 10^1

2. √(61)

3. ∛(343)

4.  .78

5. 7/9

6. 8%

Answer:

(x - y + 3)(x + y - 7)

Step-by-step explanation:

x^2 - 4x - 21 + 10y - y^2

= x^2 - y^2 - 4x -21 + 10y

= (x - y)(x + y) - 4x + 10y - 21     Now -21 = + 3 * -7   and +3x - 7x =- 4x so we try:

= (x - y + 3)(x + y - 7)

- this expands to the original expression.

Answer:

(x+y-7)(x-y+3) is your answer

Step-by-step explanation:

x²-4x-21+10y-y²

x²-4x+2²-2²-21+10y-y²

(x-2)²-(y2-10y+25)

(x-2)²-(y-5)²

(x-2+y-5)+x-2-y+5)

(x+y-7)(x-y+3)

Answer:

a = 33cm

b = 33cm

c = 11cm

Step-by-step explanation:

Let us say that the sides of the triangle are a, b and c

The perimeter of a triangle can be calculated by adding all three sides of the triangle.

Perimeter = a + b + c

Let side c be the shortest side of the triangle.

From the statement "Each of the two longer sides of the triangle is three times as long as the shortest side" we can have that

a = 3c and b = 3c

We can input these values into the perimeter of the triangle

Perimeter = 3c + 3c + c = 77

Perimeter = 7c = 77

c = 11

The shortest side, c is = 11 cm

side a is 3 X 11 = 33cm

side b = 3 X 11 = 33 cm

Answer:

C and D

atleast 20 characters to explain it well

Well, one thing they ahve in common is that they are both adding or subtracting the same numbers and of course, they are both expressions.

They are different because one expression is subtract both numbers while one expression is adding both numbers.

8 - 15 = -7

8 + 15 = 23

Best of Luck!

[tex]\sqrt{13}[/tex] = 3.60555127546

rounded to the nearest hundredth:

3.61

Answer:

30°

Step-by-step explanation:

[tex] \because \: \sin(90 \degree - \theta) = \cos \theta \\ \therefore \: \sin(90 \degree - 5 \theta) = \cos 5\theta....(1) \\ \\ \sin(90 \degree - 5 \theta) = \cos(180 \degree - \theta)...(2) \\ from \: (1) \: and \: (2) \\ \cos 5\theta = \cos(180 \degree - \theta) \\ 5 \theta = 180 \degree - \theta \\ 5 \theta + \theta= 180 \degree \\ 6\theta= 180 \degree \\ \theta = \frac{180 \degree}{6} \\ \\ \huge \red{ \boxed{\theta = 30 \degree}}[/tex]

Answer:

x=5,y=2,z=-1

Step-by-step explanation:

x+y+z=6 ........1

2x-y+3z=5 ..........2

3x+2z=13 ⇒3x=13+2z ⇒ x=(13-2z)/3

substitute for x in equation 1 and 2

13-2z/3+y+z=6 ⇒13/3 -2z/3+y+z=6 ⇒z/3+y=6-13/3

2(13-2z)/3-y+3z=5

26/3-4z/3-y+3z=5⇒5z/3-y=5-26/3⇒

5z/3-y+z/3+y=-11/3+5/3

6z/3=-6/3

x=(13+2)/3

5+y-1=6

y=6+1-5

area of triangle formula = ½ × Base × Height

X² - X - 2 = ½ × ( X + 1) × Height

X² - X - 2 = (0.5X + 0.5)Height

Therefore,

Height = ( X² - X - 2 ) / ( 0.5X + 0.5 )