amir works in a sports shop he can have a discount of 40% on anything he buys for himself how much will he pay for a pair of trainers priced at £65

Answers

Answer 1
Answer: 65 x 0.4 = 26
65 - 26 = 39

answer: 39

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Water weights about 62 pounds per cubic foot. What is the weight of the water in the pound in problem 4?

Answers

48 x 62 = 2976 is the answer

A six-sided cube is rolled. Find the probability of P (4).Choose the best answer from the options below:
A0.111B0.222C0.155D0.166

Answers

D) .166

The chance of a 4 is 1/6 which is .166

Leticia places a 10 foot ladder against a wall with a 70 degree angle with the ground, how high up the wall does the ladder reach

Answers

To solve this problem you must apply the proccedure shown below:
 1. You have that ladder measures 10 foot and forms and angle of 70 degrees with the ground.
 2. Therefore, you have:
 Sin
α=opposite/hypotenuse
 α=70°
 opposite=x
 hypotenuse=10
 3. When you substitute the values, you obtain:
 Sin(70°)=x/10
 4. Now, solve for x, as following:
 x=(10)(Sin(70°)
 x=9.39 feet
 Therefore, the answer is: 9.39 feet.

The volume of Olivia's rectangular lunchbox is 240 cubic inches. The lunchbox has a height of 3 inches, and its length is 2 inches more than its width. How wide is Olivia's lunchbox?

Answers

Volumn = Height*Width*Length
Width*(Width+2)=Volumn/Height=240/3=80
Width^2 +2Width-80=0
(Width-8)(Width+10)=0
Width>0 -> Width+10>0
-> Width-8=0 -> Width=8 inches

Factor each expression 4x+ 16 and -6y + 18

Answers

When we factor, we bring the term into its simplest form.

4x + 16 = 4(x + 4)
To check: 
4x + 4*4 = 4x + 16

-6y + 18 = -6(y - 3)
To check:
-6y + (-6)(-3) = -6y + 18
4x+ 16 \n \n GCF = 4 \n \n 4( (4x)/(4) +  (16)/(4) ) \n \n 4(x + 4) \n \n

The final result is: 4(x + 4).

--------

-6y + 18 \n \n GCF = 6 \n \n 6(  (6y)/(6) -  (18)/(6) ) \n \n -6(y - 3) \n \n

The final result is: -6(y - 3).

A building with a height of 32 m casts a shadow that is 20 m long. A person standing next to the building casts a shadow that is 1.2 m long. How tall is the person?

Answers

Answer:

Building's actual height 32 meters

Building's shadow height 20 meters

Person's shadow height 1.2 meters

Person's actual height = ?

Find the person's actual height:

This is a proportion problem.

Actual height to shadow height

Building = Person

32 : 20 = x : 1.2

32 * 1.2 = 20 * x

38.4 = 20x

38.4/20 = 20x/20

1.92 = x

The person's actual height is 1.92 meters long.

32 : 20 = 1.92 : 1.2

32/20 = 1.60

1.92/1.2 = 1.60

Step-by-step explanation: