5. Write an expression equivalent to x

A man's average speed is 36km/h. How far will he travel in 35 minutes?

JulijaS [17]

Answer:

$\huge\boxed{\sf S = 21\ km}$

Step-by-step explanation:

Given Data:

Speed = v = 36 km/h

Time = t = 35 mins = 35 / 60 = 0.58 hr

Required:

Distance = S = ?

Formula:

S = v × t

Solution:

S = 36 × 0.58

S = 21 km

$\rule[225]{225}{2}$

Hope this helped!

8 0

3 years ago

Read 2 more answers

A student takes a part-time job to earn for summer travel. The number of hours, , the student has to work is inversely proportio

Andrej [43]

Answer:

(a) $h = \frac{2400}{w}$

(b)300 Hours

(c)150 Hours

(d)Reduced and halved.

(e) $w = \frac{2400}{h}$

Step-by-step explanation:

(a) The number of hours worked is inversely proportional to the wage.

This is written as:

$h \propto \frac{1}{w} \\\text{Introducing variation constant k}\\h = \frac{k}{w}\\$Since the money to be raised is constant, k = $ \$2400\\Therefore, h = \frac{2400}{w}$

(b)If the student earns $8 an hour

w=$8

$\text{Number of Hours required, h} = \frac{2400}{8} =300 Hours$

(c)When the wage per hour =$16

When w=$16

$\text{Number of Hours required, h} = \frac{2400}{16} =150 Hours$

The number of hours reduced and is in fact halved.

(d)

$\text{When the wage per hour =w}, h = \frac{2400}{w}\\\text{When the wage per hour =2w}, h = \frac{2400}{2w}=\frac{1}{2} X \frac{2400}{w} =\frac{h}{2}$

The effect of raising the wage from $w to $2w per hour is that the number of hours required to work is reduced and exactly halved.

(e)The wage per hour is inversely proportional to the number of hours.

In fact,

$\text{From h = }\frac{2400}{w}\\\text{Cross Multiplying}\\hw=2400\\\text{Dividing both sides by h}\\w = \frac{2400}{h}$

8 0

3 years ago

Please help asap! the problem is in the picture

ladessa [460]

Given:

$AB=6\ BC=r,\ CD=r,\ AD=12$ .

To find:

The value of r.

Solution:

We have,

$AB=6\ BC=r,\ CD=r,\ AD=12$ .

We know that the radius is perpendicular to the tangent at the point of tangency

AD is the tangent and CD is the radius. So, CD is perpendicular to AD at point D, i.e., $m\angle D=90^\circ$ .

Using Pythagoras theorem, we get

$AC^2=AD^2+CD^2$

$(6+r)^2=12^2+r^2$

$36+12r+r^2=144+r^2$

$12r=144+r^2-36-r^2$

On further simplification, we get

$12r=108$

$r=\dfrac{108}{12}$

$r=9$

Therefore, the value of r is 9.

8 0

3 years ago

Help me plz this is to much

mr Goodwill [35]

9514 1404 393

Answer:

1 triangle: 2 m²
2 triangles: 4 m²
large rectangle: 32 m²
small rectangle: 3 m²
total area: 39 m²
cost of tile: $487.50

Step-by-step explanation:

You will run across many examples of poorly edited curriculum materials. This is one of them. We presume that every instance of "inches" should be an instance of "meters". The difference between in and m is not always obvious in a diagram, and m apparently got misinterpreted here.

__

The area of a triangle is given by the formula ...

A = 1/2bh

where b is the base and h is the height perpendicular to the base.

The triangles in this figure have a base of 4 m, and a height of 1 m. Using this formula, we find the area of 1 triangle to be ...

A = 1/2(4 m)(1 m) = 2 square meters . . . . area of 1 triangle

__

The triangles are the same size, so the area of both together is ...

2(2 m²) = 4 square meters . . . . area of both triangles together

__

The large rectangle is 8 m long and 4 m high. Its area is given by the formula ...

A = LW

where the length is L and the width is W. Using this formula, we find the area of the large rectangle to be ...

A = (8 m)(4 m) = 32 m² . . . . area of large rectangle

__

The small rectangle has a length of 3 m and a width of 1 m. Its area is ...

A = (3 m)(1 m) = 3 m² . . . . area of small rectangle

__

The total area is the sum of the areas of the pieces:

total area = 2 triangles + large rectangle + small rectangle

total area = 4 m² + 32 m² + 3 m² = 39 square meters

_____

At $12.50 per square meter, the cost of covering the patio is ...

($12.50/m²)(39 m²) = $487.50 . . . . cost of tile

5 0

3 years ago

What’s the answer to this question?

larisa [96]

Answer:

linear

Step-by-step explanation:

The degree of the leading term is 1

(3 $x^{1}$ )

8 0

3 years ago

5. Write an expression equivalent to x - 3y + 4.​

5. Write an expression equivalent to x - 3y + 4.