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Contact [7]
4 years ago
14

Maria needed school supplies to complete here digital learning day lessons. She ordered pencils and paper from Wal-mart. She spe

nt $12.25 and bought 5 pencils and 4 packages of paper. The paper cost $1.50 per package. Which equation could be used to solve for how much each pencil cost?
Mathematics
1 answer:
son4ous [18]4 years ago
6 0

Answer:

5x + 4($1.5) = $12.25

Step-by-step explanation:

Since we know that the paper is $1.50 per package and she bought 4 packages of paper, then she spent a total of $6 on the paper. Which leaves ($12.25-$6) $6.25 that she spent on buying 5 pencils. Now the cost per pencil can be derived by dividing $6.25/5, which is $1.25. Each pencil is $1.25.

The equation that can be used is the following where the cost per pencil is represented by x:

5x + 4($1.5) = $12.25

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How do you simplify expressions with rational exponents
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Answer:

Step-by-step explanation:

Simplify expression with rational exponents can look like a huge thing when you first see them with those fractions sitting up there in the exponent but let's remember our properties for dealing with exponents. We can apply those with fractions as well.

Examples

(a)   (p^4)^{\dfrac{3}{2}}

From above, we have a power to a power, so, we can think of multiplying the exponents.

i.e.

(p^{^ {\dfrac{4}{1}}})^{\dfrac{3}{2}}

(p^{^ {\dfrac{12}{2}}})

Let's recall that when we are dealing with exponents that are fractions, we can simplify them just like normal fractions.

SO;

(p^{^ {\dfrac{12}{2}}})

= (p^{ 6})

Let's take a look at another example

\Bigg (27x^{^\Big{6}} \Bigg) ^{{\dfrac{5}{3}}}

Here, we apply the \dfrac{5}{3} to both 27 and x^6

= \Bigg (27^{{\dfrac{5}{3}}} \times x^\Big{\dfrac{6}{1}\times {{\dfrac{5}{3}}} }\Bigg)

= \Bigg (27^{{\dfrac{5}{3}}} \times x^\Big{\dfrac{2}{1}\times {{\dfrac{5}{1}}} }\Bigg)

Let us recall that in the rational exponent, the denominator is the root and the numerator is the exponent of such a particular number.

∴

= \Bigg (\sqrt[3]{27}^{5} \times x^{10} }\Bigg)

= \Bigg (3^{5} \times x^{10} }\Bigg)

= 249x^{10}

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Step-by-step explanation:

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I think it’s 20




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An educational researcher is studying two similar high schools in different states. Suppose that 50% of all
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