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marta [7]
3 years ago
13

Plums are $3.25 for 2 pounds, i need 4 pounds. how much will it cost

Mathematics
1 answer:
olasank [31]3 years ago
4 0
<u />\frac{3.25}{2lbs} = \frac{x}{4lbs}  \\  \frac{3.25}{2} *  \frac{2}{2} = \frac{x}{4}  \\  \frac{3.25 * 2}{2*2} = \frac{x}{4}  \\ 3.25*2 = x \\ x = 6.50
It will cost $6.50 for four pounds of plums.

Hope this helps!
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How do you simplify expressions with rational exponents
Rainbow [258]

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}

8 0
2 years ago
Four int variables, x1, x2, y1, and y2, have been declared and been given values. write an expression whose value is the differe
Katen [24]
Even though we are using variables, we still know that "difference" means subtraction. So, if the larger is x1 and x2, those variables go first. The smaller, y1 and y2 will go second. So our problem will look like this:

(x1 <  x2 ? x2 : x1) - (y1 < y2 ? y1 : y2)
7 0
3 years ago
Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 40% chan
azamat

Answer:

There are a 25% probability that Christine fails the course.

Step-by-step explanation:

We have these following probabilities:

A 50% probability that Christine finds a tutor.

With a tutor, she has a 10% probability of failling.

A 50% probability that Christine does not find a tutor.

Without a tutor, she has a 40% probability of failing.

Probability that she fails:

10% of 50%(fail with a tutor) plus 40% of 50%(fail without a tutor). So

P = 0.1*0.5 + 0.4*0.5 = 0.25

There are a 25% probability that Christine fails the course.

6 0
3 years ago
A student answers a multiple-choice examination question that offers four possible answers. Suppose the probability that the stu
Nitella [24]

Answer: 0.9730

Step-by-step explanation:

Let A be the event of the answer being correct and B be the event of the knew the answer.

Given: P(A)=0.9

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If it is given that the answer is correct , then the probability that he guess the answer P(B|A)= 1

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Hence, the student correctly answers a question, the probability that the student really knew the correct answer is 0.9730.

7 0
3 years ago
Pam pays $8.00 for 1 yard of fabric. How much would the fabric cost per inch? Round your answer to the nearest cent, if necessar
Aloiza [94]
$8 per yard of fabric
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1 foot is equal to 12 inches
2.67 divided by 12 =0.22(rounded)
1 inch of fabric cost $0.22
3 0
3 years ago
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