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3 years ago

End of year assessment

Mathematics

1 answer:

tensa zangetsu [6.8K]3 years ago

4 0

Answer:

Don't fail

Step-by-step explanation:

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Three numbers are in the ratio 3:9:10. If 10 is added to the last number, then the three numbers form an arithmetic progression.

MrRa [10]

Answer:

 The numbers are 6, 18, and 30 

Step-by-step explanation:

If the three numbers are in the ratio of 3:9:10,

let the numbers be 3x, 9x and 10x.

If 10 is added to the last number to form an arithmetic progression

Then, 3x 9x (10x+10) are the progression

The common difference of an arithmetic progression (d) = T₂ - T₁ = T₃ - T₂

T₂-T₁ = T₃ - T₂ .............. Equation 1

Where T₁ = first term of the progression, T₂ = Second term of the progression, T₃ = third term of the progression

Given: T₁ = 3x, T₂ = 9x, T₃ = 10x +10

Substituting these values into equation 1

9x-3x = (10x+10)-9x

Solving the equation above,

3x = 10+x

3x-x = 10

2x = 10

x = 10/2

x = 2.

Therefore the numbers are 6, 18, and 30 

7 0

4 years ago

24 written as a percentage

Yanka [14]

Any number is equal to that number over 1

So x is equal to x/1

Same thing with 24. 24 = 24/1

To get it into percent we multiply by 100 so:

$\sf{\frac{24}{1}=\frac{24\times100}{1\times100}}$

And simplifying that we get

$\sf{\frac{2400}{100}}$

And x/100 = x%

so 2400/100 = 2400%

So your answer is 2400% :)

5 0

4 years ago

What is the domain of the square root function graphed below?

Nikolay [14]

The domain of a function is the set of all values x can have.
From the graph, we see the least value of x is 3. x can be any value greater than or equal to 3.

The domain is

$x \ge 3$

5 0

4 years ago

What is (−2.1)⋅(−1.4)

professor190 [17]

Multiplying a negative number and another negative number makes the product positive.
So (-2.1)*(-1.4) = 2.94

8 0

2 years ago

Each container will be made of a material that costs $0.0015 per square inch. Explain how to determine the coat of each containe

aksik [14]

Answer:

Find total surface area. Multiply material unit cost by the total surface area.

Step-by-step explanation:

To find the cost of a container, you must first find the total surface area of the container. Then since you are given the unit cost for the material, you multiply the total surface are by the unit cost ($0.0015/in.²).

3 0

2 years ago