Can someone answer these!

On a 1‐mile walking tour of New York City, a group had to take a detour that was 300 yards shorter than half the distance of the

tresset_1 [31]

Answer:

580 yards long.

Step-by-step explanation:

The distance of the walking tour is = 1 mile

Step 1

We have to convert 1 mile to yards

Therefore ,

1 mile = 1760 yards

Step 2

We are told that the group took a detour that was 300 yards shorter than half the distance of the tour.

The second step would be to find out how many yards is equal to half the distance of the tour.

Half the distance of the tour = 1/2 of a mile

And in step 1 we have converted whole distance of the tour to yards

= 1 mile = 1760 yards.

Hence, Half the distance of the tour = 1760 yards ÷ 2

= 880 yards.

Step 3

The group took a detour that was 300 yards shorter than half the distance of the tour.

This means mathematically,

Half the distance of the tour - 300 yards

= 880 yards - 300 yards

= 580 yards.

Therefore, the detour was 580 yards long.

7 0

3 years ago

Tell whether the number is prime or composite

Lerok [7]

Or mine means that itself and 1 can only go into it. Conposit means that multiple numbers can go into it like 24. 12,6,8,2 can all go into it

6 0

3 years ago

Gary draws this sequence of patterns of white and grey squares. The sequence is continued. How many grey squares will there be w

zzz [600]

Answer:

20 gray squares

Step-by-step explanation:

Given

See attachment for squares

Required

Number of gray squares when white = 16

First, we calculate the equation that represents both squares.

The white squares

$a = 2$ --- initial

$d = 4 - 2 = 6 - 4$

$d = 2$ -- difference between successive gray squares

So, the nth term is:

$W_n = a + (n - 1)d$

$W_n = 2 + (n - 1)*2$

$W_n = 2 + 2n - 2$

$W_n = 2n$

The gray squares

$a = 6$ --- initial

$d = 8-6=10-8$

$d = 2$ -- difference between successive gray squares

So, the nth term is:

$G_n = a + (n - 1)d$

$G_n = 6 + (n - 1) *2$

$G_n = 6 + 2n - 2$

$G_n = 4 + 2n$

When the white squares is 16

$W_n = 16$ --- Calculate n

$W_n = 2n$

$16 = 2n$

$8 = n$

$n = 8$

To get the number of gray squares;

Substitute $n = 8$ in $G_n = 4 + 2n$

$G_n = 4 + 2 * 8$

$G_n = 20$

4 0

3 years ago

Classify triangle by its Aangles and sides

goldenfox [79]

Answer:

Triangle is a three(3) sided shape i.e it has 3 sides and angles. Triangle can classify based on its side (length and equality) and size of its angles.

Step-by-step explanation:

A, Classification by sides: There are three types of triangle base on sides. These are:

1. Scalene Triangle : This describe triangle that has none of its side to be equal. i.e none of the three sides has no equal length.

2. Isosceles Triangle : This describe triangle that has two of its side equal. Also two of the angles are equal.

3. Equilateral Triangle : This describe triangle that has all its side equal i.e all three sides have equal length. Also all angles are of equal sizes.

B. Classification by size of angle: There are four types of triangle base on classification by angle:

1. Acute Triangle : This describe triangle with all three angles less than 90 degree.

2. Obtuse Triangle : This describe triangle that has one of its angle greater than 90 degree

3. Right Angled Triangle : This describe triangle with one of its angle equal 90 degree.

7 0

3 years ago

Jaun worked three times as many hours as Jerry. Marcia worked 3 more hours than Jerry. If they worked a total of 28 hours, how m

Sauron [17]

Jerry worked 5 hours. Jaun worked 15 hours. Marcia worked 8 hours.

4 0

3 years ago