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svetlana [45]
3 years ago
11

A laboratory has a 75-gram sample of radioactive material.

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
8 0
Be more specific for yssss !!
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Make a ten or a hundred to add mentally 198+132=
lana [24]
330 This the answer
8 0
3 years ago
I need help on question 2 i need the simplified answer and the restrictions
Anastaziya [24]

Answer:

x cannot be 5 or -3.

\frac{x+5}{x+3}

Step-by-step explanation:

The restrictions for a fraction is that the bottom cannot be 0.

So if we find when the bottom is 0 we have found the values that x cannot be.

Let's solve x^2-2x-15=0.

Since the coefficient of x^2 is 1 all we have to do is find two numbers whose product is -15 and whose sum is -2.

Those numbers are -5 and 3 since (-5)(3)=-15 and (-5)+(3)=-2.

So the factored form of the equation is:

(x-5)(x+3)=0

This means either x-5=0 or x+3=0.

We do have to solve both.

x-5=0 can be solved by adding 5 on both sides.

x-5+5=0+5

x+0=0+5

x=5

x+3=0 can be solved by subtracting 3 on both sides.

x+3-3=0-3

x+0=0-3

x=-3

So x can be any number except x=5 or x=-3.

We already factored the bottom as (x-5)(x+3).

The top is a difference of squares, x^2-a^2,

which can be factored as (x-a)(x+a).

So the top factors as (x-5)(x+5).

The fraction can then be written as:

\frac{x^2-25}{x^2-2x-15}=\frac{(x-5)(x+5)}{(x-5)(x+3)}

This can further simplified assuming x is not 5 we can write it as \frac{x+5}{x+3}.  I canceled the common factor of (x-5).

5 0
3 years ago
Solve for the value of n
kotykmax [81]

Answer:

8

Step-by-step explanation:

Vertical angles are congruent, so 9n=8n+8. It follows that n=8.

4 0
2 years ago
If 24 apples represents 30% of her apple supply. How many total apples does Jasmine have?
Colt1911 [192]

Answer:

She has 80 apples in all.

Step-by-step explanation:

24=30%

(24÷3)=(30÷3)%

8=10%

(8×10)=(10×10)%

80=100%

7 0
3 years ago
Read 2 more answers
Janelle draws line segments AB and BC in the same plane such that AB = 8 cm and BC = 6 cm. Then Janelle draws
Dovator [93]

Answer:

Step-by-step explanation:

• AB, BC, and AC form a triangle. Enter a possible value of AC....

So it asks for only a possible value of AC as there are many possible values.

Given AB = 8 cm and BC = 6 cm, they are in the ratio of 3:4.

Line segments of 3, 4 and 5 length will form a right-angled triange.

A possible value of AC = 5*2 = 10cm

• Points A, B, and C lie on the same line, and C lies between A and B.

So AC+CB = AB

AC+6 = 8

AC = 2cm

Enter this value of AC in the second

response box.

4 0
3 years ago
Read 2 more answers
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