Find the value of x.

Step-by-step explanation:

In order to describe speed of an object, we must describe the average speed of the entire trip. It is equal to the distance moved divided by time taken.

If a person covers a distance of 1 km to the library in 15 minutes, we can find its average speed.

Firstly, we convert 15 minutes to hour, 15 min = 0.25 hours

Now, using formula of speed = distance/time

[tex]v=\dfrac{1\ km}{0.25\ h}\\\\v=4\ km/h[/tex]

It means that the average speed of the person is 4 km/h. Hence, the given statement is true.

Given:

Lilly starts hiking along a trail at 3 miles per hour.

Dave starts hiking the same trail from the same starting point at 3.5 miles per hour.

lilly walked 2 miles before Dave started hiking.

To find:

Whether he will catch up to her and write an equation.

Step-by-step explanation:

Let the number of hours when both are hiking be h.

lilly walked 2 miles before Dave started hiking at 3 miles per hour.

Lilly hiking = 2+3h

Dave starts hiking the same trail from the same starting point at 3.5 miles per hour.

Dave hiking = 3.5 h

He will catch her if hiking distance of both are equal.

[tex]2+3h=3.5h[/tex]

Subtract 3h from both sides.

[tex]2=3.5h-3h[/tex]

[tex]2=0.5h[/tex]

Divide both sides by 0.5.

[tex]\dfrac{2}{0.5}=h[/tex]

[tex]4=h[/tex]

Therefore, Dave will catch her after 4 hours.

Dave will catch up Lilly after 4 hours.

Since Lilly starts hiking along a trail at 3 miles per hour, and Dave starts hiking the same trail from the same starting point at 3.5 miles per hour, if Lilly walked 2 miles before Dave started hiking, to determine when he will have catch up to her the following calculation must be performed:

Therefore, Dave will catch up Lilly after 4 hours.

Learn more in https://brainly.com/question/13590356

Answer: 6

Step 1: Subtract 6 to get to 0.

-6 - 6 = 0.

Step 2: Add 6.

0 + 6 = 6.

Answer = 6

Answer:

e=49

f=131

d=90

Step-by-step explanation:

Answer:

The answer is 4.8548 × 10^2

Step-by-step explanation:

Answer:

4.8548×10^2

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of the decimal places you move will be the exponent on the 10. The sign of the exponent will depend on the direction you are moving the decimal.

Answer:

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 4

gives the next term. In other words,

an=a1.rn-1.

Geometric Sequence:

R=4

This is the form of a geometric sequence.

an=a1rn-1

Substitute in the values of

a1=11 and

r=4.an=(11)(.)4)n-1

Remove parentheses.

an=11.4n-1

Answer:

11,-88,704

Step-by-step explanation:

what exactly do u mean

Answer:

0.25m³

Step-by-step explanation:

If Riya is applying mulch to her garden. She applies it at a rate of 250,000 cm³ for every m², to know how much she is applying in m³ for every m², we will make use of the conversion formula:

100cm = 1m

1cm = 1/100m

1cm = 0.01m

250,000cm³ = 250,000 × 1cm×1cm×1cm

250,000cm³ = 250,000×0.01×0.01×0.01

= 250,000×0.000001

= 0.25m³

Hence Riya is applying at 0.25m³ per m²

Answer:

0.25m³ / m²

Step-by-step explanation:

Given that:

Rate of application = 250,000 cm³ of mulch per m²

The rate of application in m³ per m² can be calculated thus :

Converting 250,000 cm³ to m³

1cm = 1/100 = 0.01m = 1 * 10^-2 m

Hence

1cm³ = (1 * 10^-2 m)³ = 1 × 10^-6 m³

Hence,

250,000cm³ = (250,000 * 10^-6)m³ = 0.25m³

Hence, rate of application in m³ / m² equals

0.25m³ / m²

Answer:

sponge b00b

Step-by-step explanation:

Answer:

12 months.

2 x 6 = 12

2+1= 43 2 months

2+1= 44 4 months

2+1= 45 6 months

2+1= 46 8 months

2+1= 47 10 months

2+1= 48 12 months

Answer:

A. 12in

Step-by-step explanation:

Given parameters:

    Area of trapezoid  = 78in²

     Base lengths = 5in and 8in

Unknown:

Height of the trapezoid = ?

Solution:

         A  = [tex]\frac{1}{2}[/tex] (b₁ + b₂)h

  b₁ and b₂ are 5in and 8in respectively.

 Input the parameters and solve for h;

          78 = [tex]\frac{1}{2}[/tex] (5 + 8)h

         Multiply both sides by 2;

         156  = 13h

           h = 12in

The height of the trapezoid is 12in

Answer:

P = 2( l + b )

=>130 = 2 (l + 30)

=>130 = 2l + 2*60

=> 130 = 2l + 60

=> 130 - 60 = 2l

=> 70 = 2l

=> 70/2 = l

=> 35 = l

Length = 35cm

Area = l * b

=> A = 35 * 30

=> A = 1050

Therefore area = 1050[tex]cm^{2}[/tex]

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

Answer:

l=35 and A=1050

Step-by-step explanation:

the formula of rectangle to calculation perimeter is p=2(l+b)

130/2=l+b

l=35 and

A=l*b

a= 35*30=1050

Answer:

a

Step-by-step explanation:

it would be 0

Answer:

The correct answer would be 0 because there is no rate of change represente in the table.

Step-by-step explanation:

Hope this helps!

Have a good day! :)

Answer:

-1 + 2 = 1

1 + (-2) = -1

-1 - 2 = -3

1 - (-2) = 3

Step-by-step explanation

When you subtract use keep change change

Rule 1 when you add : If the signs are the same add the numbers and take the sign of the bigger number.

Rule 2 when you add : If the signs are different subtract the numbers and take the sign of the bigger number.

I wanted to help you understand and i hope i did that!

150 ÷ 20 = 7.5 minutes per 1 mile

7.5 x 6 = 45 minutes

7.5 + 7.5 = 15 minutes or 2 miles in 15

60 ÷ 7.5 = 8 mph

mpm = 7.5

90 ÷ 5 = $18 per hour

18 x 8 = $144

18 x 3 = 54 (close to $60)

Step-by-step explanation:

hope this helps

Answer: (a) Sarah     (b) 45 minutes     (c) 2 miles     (d) 8 miles per hour  

              (e) 7.5 minutes per mile          (f)  $144         (g) 3 1/3 hours

Step-by-step explanation:

[tex]\text{Joey:}\quad \dfrac{\$11}{3\ hours}\\\\\\\text{Sarah:}\quad \dfrac{\$2}{\frac{1}{2}\ hour}\times \dfrac{6}{6}=\dfrac{\$12}{3\ hours}[/tex]

When comparing the same number of hours, Sarah earns $12, Joey earns $11.

***************************************************************************************************

                            [tex]\dfrac{20\ miles}{150\ minutes}=\dfrac{6\ miles}{x}[/tex]

Cross Multiply:     20(x) = 150(6)

Divide by 20:             x = 900/20

Simplify:                     x = 45 minutes

***************************************************************************************************

                             [tex]\dfrac{20\ miles}{150\ minutes}=\dfrac{x}{15\ minutes}[/tex]

Cross Multiply:      20(15) = 150(x)

Divide by 150:       300/150 = x

Simplify:                 2 miles = x

***************************************************************************************************

Use conversion: 60 minutes = 1 hour

[tex]\dfrac{20\ miles}{150\ minutes}\times \dfrac{60\ minutes}{1\ hour}=\quad \dfrac{1200\ miles}{150\ hour}\quad =\large\boxed{\dfrac{8\ miles}{1\ hour}}[/tex]

***************************************************************************************************

[tex]\dfrac{150\ minutes}{20\ miles}\div \dfrac{20}{20}=\quad \large\boxed{\dfrac{7.5\ minutes}{1\ mile}}[/tex]

***************************************************************************************************

                           [tex]\dfrac{\$90}{5\ hours}=\dfrac{x}{8\ hours}[/tex]

Cross Multiply:     5(x) = 90(8)

Divide by 5:             x = 720/5

Simplify:                   x = $144

***************************************************************************************************

                            [tex]\dfrac{\$90}{5\ hours}=\dfrac{\$60}{x}[/tex]

Cross Multiply:     5(60) = 90(x)

Divide by 90:        300/90 = x

Simplify:               3 1/3 hours = x

Answer: x=15/19 =0.789

Step-by-step explanation:  -12*x+1-(7*x-14)=0

  -19x+15 = 0  

Subtract  15  from both sides of the equation :  

                     -19x = -15

Multiply both sides of the equation by (-1) :  19x = 15

Divide both sides of the equation by 19:

                    x = 15/19 = 0.789

x = 15/19 = 0.789

Answer:

LCM is 30.

Step-by-step explanation:

She forgot that they both can multiply into 30. She listed all their multiples and their LCM is 30. Not 60. That's her error.

Hope this helps and have a nice day!

Answer:

7.92

Step-by-step explanation:

Given

c² + 0.1c - 24 ← substitute c = - 5.7 into the expression

= (- 5.7)² + 0.1(- 5.7) - 24

= 32.49 - 0.57 - 24

= 31.92 - 24

= 7.92

Answer:

The numerical length of MO is 20 units

Step-by-step explanation:

Let us solve the question

∵ Point N is on line segment MO

→ That means point N divides segment MO into two parts MN and NO

∴ MO = MN + NO

∵ MO = 2x + 5

∵ MN = 2x + 3

∵ NO = 2x - 3

→ Substitute them in the equation above

∴ 3x + 5 = (2x + 3) + (2x - 3)

→ Add the like terms in the right side

∵ 3x + 5 = (2x + 2x) + (3 - 3)

∴ 3x + 5 = 4x + 0

∴ 3x + 5 = 4x

→ Subtract 3x from both sides

∵ 3x - 3x + 5 = 4x - 3x

∴ 5 = x

∴ The value of x is 5

→ To find MO substitute x by 5 in its expression

∵ MO = 3x + 5

∴ MO = 3(5) + 5

∴ MO = 15 + 5

∴ MO = 20 units

The numerical length of MO is 20 units

Answer:

c = 208.8

Step-by-step explanation:

a. [tex]\frac{c}{7.2} =29[/tex]   To solve for C, you need to get the variable on one side of the equation and the numbers on the other side of the equation.

b.  [tex]\frac{c}{7.2} =29[/tex]   You need to move the 7.2 to the other side. So, multiply both sides by 7.2, because it's being divided, so multiplying will cancel it out.

c:  [tex]c = 29 * 7.2[/tex]   Then, multiply 7.2 by 29. (The * symbol means multiply)

d.  c. = 208.8   The answer is 208.8, which is rounded to the tenths place.

Hope this helps! I tried to explain it in detail. :)

Answer:

6x-18

x=-3

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

Look at the attachment below

Hope this helps (:

Answer:216

Step-by-step explanation:3x9x8

Answer:

12

Step-by-step explanation:

Answer:

x=115/2

Step-by-step explanation:

Answer:

x = 57.5

Step-by-step explanation:

Step 1: Write equation

2x + 65 = 180

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

2(115/2) + 65 = 180

115 + 65 = 180

180 = 180

Answer: C. x= 1 and x= -4

Step-by-step explanation:

10=4x+6

4=4x subtract 6

1=x divide by 4

and

-10=4x+6

-16=4x subtract 6

-4=x divide by 4

Step-by-step explanation:

I hope this is the answer

Answer:

x=12/7

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

x=12/7 or x=1.714

Answer:

79.6 ft / 1 minute

Step-by-step explanation:

Answer:

79.6ft per minute

Step-by-step explanation:

1194/15=79.6