Jan walks 2 miles at a constant rate of 3 miles per hour and then runs 1 mile at a constant rate of 8 miles per hour.

(a) What is Jan’s average speed for the entire trip?
(b) Is the average speed in part (a) equal to the average of Jan’s two speeds?

Answer:

17

Step-by-step explanation:

Answer:

F. 4 2/3 centimeters

Step-by-step explanation:

since the trapezoids are similar to each other, that means there is a common ratio between them. so taking into consideration the first trapezoid STUV when we compare that to NOPQ, OP comes out to be 4 and 2/3 centimeters. start by comparing the ratio of ST to NO and then move on to TU and then OP.

. Since the pentagon is a regular pentagon, the measure of each interior angle will be the same.

To find the size of each angle, divide the sum, 540º, by the number of angles in the pentagon.

(which is the same as the number of sides).

540° ÷ 5 = 108° There are 108° in each interior angle of a regular pentagon.

2. 540°

Sum of Interior Angles of a Polygon

A pentagon has five sides, thus the interior angles add up to 540°, and so on.

Answer:

3/7

Step-by-step explanation:

you are gonna add all the parts together which is seven and because three parts are blue chances are that it might stop at blue three times out of seven

Answer:

$0.88 per pound

Step-by-step explanation:

you want to divide the 3/4 pounds by 3, and when you do that, you also have to divide the 66 cents by 3 as well, then multiply the 1/4 you get from dividing 3/4 by 3, and multiply it by 4 to get 1 pound, but when you do that, you have to do the same thing with the 22 cents you get from dividing 66 cents by 3, which will give you 88 cents per pound

Answer:

well 12 x 10 = 120 so 120 x 10 = 1200 and 5 x 5 = 25 so 25 x 10 = 250 and 1200 + 250 would be 1450

Step-by-step explanation:

67 miles

Answer:

x intercept = (0.3, 0)

y intercept = (0, 0.4)

Answer:

x: (0.3,0)

y: (0,0.4)

Answer:

B.

Step-by-step explanation:

If you calculate the sum of both you get:

5x + 2x + 4y - 7y = 24 + 26

7x - 3y = 50, which is B

Answer:

2,120 m

Step-by-step explanation:

Cedric lives at one end of Main Street, and Landon lives at the other end of the street

Main Street is 6.02 Kilometers long. Cedric walks 3.9 kilometers toward Landon's house.

Step 1

We calculate the kilometers Cedric has to walk to arrive at Landon's house

This is given as:.

6.02km - 3.9 km

= 2.12 km

Step 2

How many more meters must Cedric walk to arrive at Landon's house?

We convert from km to m

1 km = 1000m

2.12km = x

Cross Multiply

x = 2.12 × 1000m

x = 2120 m(meters)

Given:

The figure of a polygon.

To find:

The area of the polygon.

Solution:

Area of a triangle is

[tex]Area=\dfrac{1}{2}\times Base\times Height[/tex]

Area of trapezoid is

[tex]Area=\dfrac{1}{2}(a+b)h[/tex]

Where, a, b are bases and h is the height.

The area of the triangle with base 6 cm and height 8 cm is

[tex]A_1=\dfrac{1}{2}\times 6\times 8[/tex]

[tex]A_1=24[/tex]

Height of the trapezoid is [tex]13-8=5\ \text{cm}[/tex] and the bases are 6 cm, 12 cm. So, the area of the trapezoid is

[tex]A_2=\dfrac{1}{2}(6+12)(5)[/tex]

[tex]A_2=\dfrac{1}{2}(18)(5)[/tex]

[tex]A_2=(9)(5)[/tex]

[tex]A_2=45[/tex]

Now, the total area of the polygon is

[tex]A=A_1+A_2[/tex]

[tex]A=24+45[/tex]

[tex]A=69[/tex]

Therefore, the area of the polygon is 69 sq. cm.

Answer:

C. 4,900 = m times 5,000

Step-by-step explanation:

Total books = 5,000

Fiction = 4,900

Calculations:

[tex]5,000. \frac{x}{100} =4,900[/tex]

[tex]\frac{x}{100} = \frac{4,900}{5,000}[/tex]

[tex]\frac{x}{100} =0.98[/tex]

[tex]x=98[/tex]

Now that we know x we can come up with the equation and can determine which one is correct. x = m = 98%

Therefore, 4,900 is 98% of 5,000.

So 5,000 x 98% = 4,900

And the equation that matches that is C.

Answer:

last one (d)

Step-by-step explanation:

adding subtracting or dividing is not how you use a growth factor(what my school calls a percentage in a decimal form).

Answer:

$220.02 - $16.99 = $203.03

$203.03 / $.79 = 257 miles

Answer = 257 miles

Step-by-step explanation:

Hope this helps! Have a great day!

Answer:

x=216°

Step-by-step explanation:

100%=360°

To find 10% divide by 10

10%=36°

x4

40%=144°

in a full circle thered 360°

360-144=216°

x=216°

Answer:

x = 30

Step-by-step explanation:

Given the expression

-2/3 x - 1 =19

We are to find the value of x

Add 1 to both sides

2/3 x -1 +1 = 19+1

2/3 x =20

Multiply

2/3x × 3 = 20×3

2x = 60

x = 60/2

x = 30.

Hence the value of x is 30

Answer:

1/2 or 0.5 is the correct answer of this question

Answer: 184.73 meters

Step-by-step explanation:

1 yard = 0.91 meters

Given

There are 203 yards

Calculate

203 yards × 0.91 meters/yard = 184.73 meters

Hope this helps!! :)

Please let me know if you have any questions

Answer:

A

We can see that the graph is shaded to the left of -1. This means that x is all values less than (<) -1, so C and D are incorrect. Additionally, since the dot is not filled in, this means that x is not going to be equal to -1, which eliminates B. This leaves A, x < -1.

Step-by-step explanation:

Answer:

6 dozens

Step-by-step explanation:

Vanilla, v = x

Chocolate, c = 3x

Strawberry, s = 3 dozens = 36

Total cupcakes = 132

Hence,

x + 3x + 36 = 132

4x = 96

x = 96 / 4

x = 24

Chocolate = 3 * 24 = 72

Dozens of chocolate = 72 /12 = 6 dozens

Answer:

b) x = 31

Step-by-step explanation:

It's an isosceles triangle, meaning the base angles are congruent as well.  

Answer:

$1.5

Step-by-step explanation:

This would be solved using a simultaneous equation

let tacos = t

drink = d

3t + d = 7 -- eqn 1

2t + 2d = 8 -- eqn 2

Multiply equation 1 by 2 to derive equation 3

6t + 2d = 14 eqn 3

Substract equation 2 from equation 3

6t + 2d = 14 -- eqn 3

         -

2t + 2d = 8 -- eqn 2

= 4t = 6

solve for t

6/4 = 1.5

= $1.5

Answer:

Yes

Step-by-step explanation:

I see a right angle, so its perpendicular

Answer: The volume of the aquarium = 790 cubic meters

Step-by-step explanation:

Volume of rectangular prism = length x width x height

Given: An aquarium is in the shape of a right rectangular prism that is 22.9m long, 7.5m wide and 4.6m high.

Volume = [tex]22.9\times7.5\times4.6[/tex]

i.e. Volume = 790.05 cubic meters

i.e. Volume ≈ 790 cubic meters  (rounded to the nearest cubic meter)

Hence, the volume of the aquarium = 790 cubic meters (approx)