All categories

1 year ago

A chemical balance needs to weigh 237g using weights of 50g, 20g, 10g and 1g. How many of each weight is needed?

Mathematics

2 answers:

Delicious77 [7]1 year ago

4 0

The required number of weights used in chemical balance to weigh 237g is 4,1,1,7 respectively.

What is mathematical expression?

A mathematical expression expression in mathematical is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Here, it is given that :

A chemical balance needs to weigh 237g using weights of 50g, 20g, 10g and 1g.

Now, let us find the number of weights for each weight type :

For 50g weight the maximum number of weights needed will be 4 that is :

50g x 4 = 200g

Now, for 20g weight the maximum number of weights needed will be 1 that is :

20g x 1 = 20g

Now, for 10g weight the maximum number of weights needed will be 1 that is :

10g x 1 = 10g

Now, for 1g weight the maximum number of weights needed will be 7 that is :

1g x 7 = 7g

Adding all the weights we get :

200g + 20g + 10g + 7g = 237g;

which is the required weight and the number of weights used is 4,1,1,7 respectively.

You might be interested in

Show that x = -2 is a solution of 3x² + 13x + 14 = 0

Oliga [24]

Answer:

x= -2 is correct answer

Step-by-step explanation:

3(-2×-2)+13(-2)+14=0

3(4)+13(-2)+14=0

12+(-26)+14=0

12-26+14=0

12+14-26=0

26-26=0

0=0

3 0

3 years ago

[!]Urgent[!] What is another way to summarize the outcome of this proof?

Marina CMI [18]

Answer:

B. Vertical angles are congruent

Step-by-step explanation:

The instructions are to prove that ∠ANR and ∠VNE are congruent, and ∠ANR and ∠VNE are vertical angles.

I hope this helps :)

8 0

2 years ago

I need help with these two problems. [9 and 10] FORMULAS GIVEN!!

zaharov [31]

<h2>Question 9:</h2>

1. Use Pythagorean Theorem (a²+b²=c²) to solve for missing side of triangle and rectangle. x²+16²=20², or x²+256=400. So, x²=144, and x=12

2. Use formula: 1/2(h)(b1+b2). 1/2 (12) (30+14).

3. Simplify: 1/2 (12) (44)=1/2(528)=264

Area of whole figure is 264 square mm.

<h2>Question 10:</h2>

Literally same thing but with trigonometry.

1. Use sine to find out length of dotted line: sin(60°)=x/12

2: Simplify: 12*sin(60°)=x. x≈10.4 (rounded to the nearest tenth)

3. Use Pythagorean Theorem to find out last leg of triangle: 10.4²+x²=12²

4: Simplify: 108.16 +x²=144. x²=35.84 ≈ 6

5: Use formula: 1/2(h)(b1+b2). 1/2 (10.4) (30+36)

6: Simplify: 1/2 (10.4) (66) =343.2

7: Area of figure is about 343.2

Remember, this is an approximate answer with rounding, so it might not be what your teacher wants. The best thing to do is do it yourself again.

4 0

2 years ago

A boat is located a sea level. A scuba diver is 80 feet along the surface of the water from the boat and 30 feet below thw water

Sauron [17]

Given :

A boat is located a sea level. A scuba diver is 80 feet along the surface of the water from the boat and 30 feet below the water surface.

A fish is 20 feet along the horizontal plane from the scuba diver and 10 feet below the scuba diver.

To Find :

The slope between the scuba diver and fish.

Solution :

Horizontal distance between diver and fish is 20 feet.

Fish is 10 feet below the scuba diver.

Slope between scuba diver and fish is :

$tan\ \theta = \dfrac{10}{20}\\\\tan\ \theta = 0.5$

Therefore, the slope between the scuba diver and fish is 0.5 .

6 0

2 years ago

Please help me with his question :)

Yuri [45]

I’m pretty sure it’s the third option, Bella saves more per chore than Sweet T. If you replace the c in Bella’s equation with 1, it would be 3.5 times 1 which is 3.5 and then add 11 and it would be 14.5 which is more then Sweet T. You can do this with the rest of the numbers and Bella would still have more then Sweet T. Per chore

4 0

3 years ago