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2 years ago

What is the value of x in the equation 3.5x = 105

Mathematics

1 answer:

levacccp [35]2 years ago

4 0

Answer:

x=30

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

105/3.5=30

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What is the surface area of the figure? Can you please explain how to get it

goldenfox [79]

Answer:

The surface area of the solid = 582 feet²

Step-by-step explanation:

* At first lets study the solid

- it consists of 8 faces

- One base with dimensions 15 and 4 feet (1)

- Two side faces L-shaped with dimensions 15 , 4 , 9 ad 6 feet (2)

- One side face with dimensions 4 and 15 feet (3)

- One side face with dimensions 9 and 4 feet (4)

- One side face with dimensions 6 and 4 feet (5)

- One top base with dimensions 9 and 4 feet (6)

- One top base with dimensions 6 and 4 feet (7)

* Now lets find the area of the faces

- A(1) = 15 × 4 = 60 feet² ⇒ rectangular face

* We can find the area of L-shaped by this way

∵ Area of the square face = 15 × 15 = 225 feet²

∵ Area of the small rectangle = 9 × (15 - 9) = 54 feet²

- Lets subtract the area of the small rectangle from the area of

the square, to find the area of the L-shaped

- A(2) = 2 ( 225 - 54) = 2 (171) = 342 feet²

- A(3) = 4 × 15 = 60 feet² ⇒ rectangular face

- A(4) = 9 × 4 = 36 feet² ⇒ rectangular face

- A(5) = 6 × 4 = 24 feet² ⇒ rectangular face

- A(6) = 9 × 4 = 36 feet² ⇒ rectangular face

- A(7) = 6 × 4 = 24 feet² ⇒ rectangular face

* Lets add all of these areas to find the surface area of the solid

∴ The S.A = 60 + 342 + 60 + 36 + 24 + 36 + 24 = 582 feet²

5 0

2 years ago

What is tan(x)-5=0<br> (With steps)

sp2606 [1]

Tanx-5=0
tanx=5
tan inverse (5)=x
78.69

7 0

3 years ago

If a motor bike travels 300km in 5hrs what is the average distance travelled in 1hr

baherus [9]

Answer:

60km per hour.

Step-by-step explanation:

Divide 300km by 5hrs to find the distance traveled in an hour.

$\frac{300}{5}$

$60$

7 0

3 years ago

Read 2 more answers

Select the correct answer from each drop-down menu. A self-service car wash charges $4 for the initial 5 minutes plus an additio

arlik [135]

Answer: For $m\geq15$

$\\\Rightarrow\ y=4+0.75(m-5)\geq4+0.75(15-5)\\\Rightarrow\ y\geq4+0.75(10)\\\Rightarrow\ y\geq4+7.5\\\Rightarrow\ y\geq11.5$

Nick does not has enough money to follow this recommendation.

Step-by-step explanation:

Given: A self-service car wash charges $4 for the initial 5 minutes plus an additional $0.75 for each minute after that.

Let y be the cost for car wash for m minutes then

$y=4+0.75(m-5)$ such that at m= 5 , y=4 which is the cost for car wash (dollars) for first 5 minutes.

Also, A car enthusiast magazine recommends spending at least 15 minutes to properly wash a car.

For $m\geq15$

$\\\Rightarrow\ y=4+0.75(m-5)\geq4+0.75(15-5)\\\Rightarrow\ y\geq4+0.75(10)\\\Rightarrow\ y\geq4+7.5\\\Rightarrow\ y\geq11.5$

But Nick has $10 which is less than $11.5, so he does not has enough money to follow this recommendation.

7 0

3 years ago

Read 2 more answers

The senior class at high school A rented and filled 3 vans and 6 buses with 306 students. High school B rented and filled 1 van

musickatia [10]

Answer:

8 students in each van ~ 22 in each bus

Step-by-step explanation:

- Equations:

8v + 8b = 240

4v + b = 54

------

- Modify:

8v + 8b = 240

8v + 2b = 108

------

- Subtract and solve for "b":

6b = 132

b = 22 (# of students in each bus)

-----

- Solve for "v":

4v + b = 54

4v + 22 = 54

4v = 32

v = 8 (# of students in each van)

7 0

3 years ago