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2 years ago

Antonio is buying milk for a breakfast event. Each container of milk costs $3. He must spend $12 or less on milk for the event.

Mathematics

1 answer:

madreJ [45]2 years ago

7 0

Answer:

3x ≤ 12 x≤4

Step-by-step explanation:

If Antonio has only $12 to spend on the milk, then the inequality sign should be less than or equal to. Since he can not go over 12. So from this you must figure out how many cartons he can buy. 12/3 = 4. So the maximum amount he can buy is 4 cartons.

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Which of the following is the number 5.03 x 10-5 written in standard form?

FromTheMoon [43]

Step-by-step explanation:

Answer=B

proving:

503,000 > 10

so we look for a number

less than 10

=5.03 ×10-5

the other three zeros are not

needed.

Thank you

6 0

3 years ago

Read 2 more answers

Small roads with lower speed limits are known as:

Law Incorporation [45]

Answer:

B. secondary roads

Step-by-step explanation:

While all of streets, county roads, and secondary roads are generally designed to carry less traffic and/or have lower speed limits than interstate highways, the generic name for such roads is ...

secondary roads.

6 0

3 years ago

What is a simple way to solve for the sum and difference of 2 cubes? For example, 27+64<img src="https://tex.z-dn.net/?f=x%5E3"

salantis [7]

Answer:

(3 + 4x)(9 - 12x + 16x²) = 0

(4m - 1)(16m² + 4m + 1) = 0

Step-by-step explanation:

Here we have to solve the sum of two cubes which is $27 + 64x^{3}$

Now, the equation is $27 + 64x^{3} = 0$

⇒ 3³ + (4x)³ = 0

⇒ (3 + 4x)[3² - 3(4x) + (4x)²] = 0

⇒ (3 + 4x)(9 - 12x + 16x²) = 0

So, (3 + 4x) = 0 or (9 - 12x + 16x²) = 0

Therefore, from the above two relation we can solve for x.

One root will be $- \frac{3}{4}$ and the others we will get by applying Sridhar Acharya Formula, which will give a pair of conjugate imaginary roots of the equation.

Again, we have to solve the difference of two cubes which is $64m^{3} - 1$

Now, the equation is $64m^{3} - 1 = 0$

⇒ (4m)³ - 1³ = 0

⇒ (4m - 1)[(4m)² + 4m(1) + 1²] = 0

⇒ (4m - 1)(16m² + 4m + 1) = 0

So, (4m - 1) = 0 or (16m² + 4m + 1) = 0

Therefore, from the above two relation we can solve for m.

One root will be $\frac{1}{4}$ and the others we will get by applying Sridhar Acharya Formula, which will give a pair of conjugate imaginary roots of the equation. (Answer)