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charle [14.2K]
2 years ago
5

Write the ratio as a fraction in simplest form. $5.40 for 24 cans (per can)

Mathematics
1 answer:
galina1969 [7]2 years ago
4 0

Answer:

9/40

Step-by-step explanation:

To find the price per can, we take the cost and divide by the number of cans

$5.40/24

5.4/24

Since there is a decimal in the numerator, multiply the top and bottom by 10

5.4/24 * 10/10

54/240

Divide the top and bottom by 6

9/40

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Expand the polynomial and simplify: (4xy− 1 8 y^2)^2
Vinvika [58]

Answer: 4y^{2}(2x-9y)^{2}

Step-by-step explanation:

We have the following polynomial:

(4xy-18y^{2})^{2}

This is a polynomial of the form (a-b)^{2}=a^{2}-2ab+b^{2}. Following this rule to expand it, we have:

(4xy)^{2}-2(4xy)(18y^{2})+(18y^{2})^{2}

16x^{2}y^{2}-144xy^{3}+324y^{4}

Applying common factor 4y^{2}:

4y^{2}(4x^{2}-36xy+81y^{2})

Note the polynomial inside the parenthesis is a perfect square trinomial, which can be factored to(2x-9y)^{2}. Hence, the final simplification is:

4y^{2}(2x-9y)^{2}

3 0
2 years ago
What is (5x-2)(4x^2 -3x-2)
Ronch [10]
Answer: 20x^3 - 23x^2 - 4x + 4

Explanation:

Use distributive property:

(5x-2)(4x^2 - 3x-2)
= 20x^3 - 15x^2 - 10x - 8x^2 + 6x + 4
= 20x^3 - 23x^2 - 4x + 4
8 0
2 years ago
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Please look at picture to answer all i know is that the answer is not (B)
krek1111 [17]

Answer:

A

Step-by-step explanation:

A parcent as a fraction would be /100. So the answer would not be C or D. And since it isn't B, the answer is only A

7 0
3 years ago
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If tan e = 1.3, what is the value of cot (90° - 9)?
ella [17]

Answer:

A

Step-by-step explanation:

We are given that:

\tan(\theta)=1.3

And we want to find:

\cot(90^\circ -\theta)

Remember that tangent and cotangent are co-functions. In other words, they follow the cofunction identities:

\tan(\theta)=\cot(90^\circ-\theta)\text{ and } \cot(90^\circ-\theta)=\tan(\theta)

Therefore, since tan(θ) = 1.3 and cot(90° - θ) = tan(θ), then cot(90° - θ) must also be 1.3.

Our answer is A.

7 0
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Diano4ka-milaya [45]

-24 * (7/6) = -28

x = -28

6 0
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