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2 years ago

Write an expression that is equivalent to 4(w+3) -2

Mathematics

1 answer:

damaskus [11]2 years ago

8 0

Steps to solve:

4(w + 3) - 2

~Disribute

4w + 12 - 2

~Combine like terms

4w + 10

Best of Luck!

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a square field has a side 150 m long .There is a road 5 m wide all around the park outside it .Find the cost of constructing the

alisha [4.7K]

Answer:

Cost to construct the road = 775000 rupees

Step-by-step explanation:

Square field has a side = 150 m

Area of the field = (Side)²

= (150)²

= 22500 m²

Length of the park with road around the field = 150 + 2×(width of the road)

= 150 + (2×5)

= 160 m

Similarly, width of the park with road around the field = 160 m

Area of the park with road = (Side)²

= (160)²

= 25600 m²

Area of road = Area of the park with road - Area of the park

= 25600 - 22500

= 3100 m²

Since, cost of constructing the road = 250 rupees per square meter

Cost to construct the road with the given area = 250 × 3100

= 775000 rupees

6 0

2 years ago

Tim must read 2 books from a list of 7 recommended books for his summer reading program. In how many different ways can Tim choo

Marianna [84]

There are 21 ways Tim choose 2 books from the 7 recommended book

Solution:

Given that Tim must read 2 books from a list of 7 recommended books for his summer reading program

To find: different ways can Tim choose 2 books from the 7 recommended books

This is a combination problem

A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected

The formula for combinations is:

$n C_{r}=\frac{n !}{r !(n-r) !}$

where n represents the number of items, and r represents the number of items being chosen at a time

Here we have to choose 2 books from 7 books

Therefore, n = 7 and r = 2

Substituting values in above formula, we get

$\begin{aligned}&7 C_{2}=\frac{7 !}{2 !(7-2) !}\\\\&7 C_{2}=\frac{7 !}{2 ! \times 5 !}\end{aligned}$

For a number n, the factorial of n can be written as,

$n !=n \times(n-1) \times(n-2) \dots \dots \times 2 \times 1$

Therefore, we get

$7 C_{2}=\frac{7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{2 \times 1 \times 5 \times 4 \times 3 \times 2 \times 1}\\\\7C_2 = 7 \times 3 = 21$

Thus there are 21 ways Tim choose 2 books from the 7 recommended book

7 0

3 years ago

Use a calculator to find the trigonometric ratio to four decima place tan 23

Aneli [31]

Answer:

=0.4245 (4dp)

Step-by-step explanation:

tan(23)=0.4244748162

=0.4245 (4dp)

I hope this helps!

4 0

3 years ago

Find the area of a regular hexagon with the measurement 4- inch side

olga2289 [7]

The answer is 24 root 3 or 41.56921938.

6 0

3 years ago

Help me please!!!!!!!!!!!!!!!!

Sav [38]

Answer:

x=-4 and y=4

Step-by-step explanation:

(6x+9y)-(6x+7y)=12-4=8

--> 9y-7y=8

-->2y=8-->y=4

-->6x+7×4=4 -->x=-4

7 0

2 years ago

Read 2 more answers