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The required fraction of the pizza Rachel eat is 1 / 6.

Given that,
After a party, 1/3 of a pizza remains. Rachel eats 1/2 of the remaining pizza. What fraction of a pizza she eat is to be determined.

The technique in mathematics to perform and solve the expression to make the expression simple or more understandable is called simplifying and the process is called simplification.

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Here, remaining pizza = 1 / 3
Rachel eats 1 /2 of the remaining pizza so,
=  1 / 2 * 1 / 3
= 1 / 6

Thus, the required fraction of the pizza Rachel eat is 1 / 6.  

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Answer:

7.57

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The height of sunflowers is Normally distributed with mean 50 inches and standard deviation 8 inches.

This means that [tex]\mu = 50, \sigma = 8[/tex]

Percent of all sunflowers that are between 35 and 40 inches tall.

As a proportion, this is the pvalue of Z when X = 40 subtracted by the pvalue of Z when X = 35. So

X = 40

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{40 - 50}{8}[/tex]

[tex]Z = -1.25[/tex]

[tex]Z = -1.25[/tex] has a pvalue of 0.1057

X = 35

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{35 - 50}{8}[/tex]

[tex]Z = -1.88[/tex]

[tex]Z = -1.88[/tex] has a pvalue of 0.03

0.1057 - 0.03 = 0.0757

As percent: 0.0757*100% = 7.57%

Answer:

this is an identity which is true for all x values

Step-by-step explanation:

Perform the indicated multiplication.  We get:

6x - 1 = 6x -1

and see that this is an identity which is true for all x values.

Step-by-step explanation:

you need too look somewhere else

Answer:

D

Step-by-step explanation:

A and B cannot be the right answers, because the left part of the graph is inclusive (so the right answer has to include [tex]x\leq 1[/tex] instead of [tex]x<1[/tex]).

C can also not be the right answer, because for [tex]x=0[/tex], [tex]y=-1[/tex] instead of [tex]2(0)^2 = 0[/tex].

So D is the correct answer by elimination.

Answer:A

Step-by-step explanation: The letters are not in the correct order on letter A and the rest of the answers can prove it.

Answer:

a) New price = 0.86 * Original price

b) New price = 0.86 * 48200 = $41452

Step-by-step explanation:

Answer:y=485

y=a(2)^t/d

a=150 d=13 t=22

Step-by-step explanation: y=150(2) 22/13

y=484.759843209

y=485

The rate of the interest on the account is 5.48%. Then the amount of money after 22 years is $485.10.

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

A person invested $150 in an account growing at a rate allowing the money to double every 13 years.

Then the rate will be

[tex]\begin{aligned} 300 &= 150 (1 + r)^{13}\\\\13 \log (1 + r) &= \log 2\\\\\log (1 + r) &= 0.023156\\\\1 + r &= 1.054766\\\\r &= 0.054766 \approx 0.0548 \end{aligned}[/tex]

Then the amount of money after 22 years will be

[tex]\rm Amount = 150(1 + 0.0548)^{22}\\\\Amount = 150 \times 3.234\\\\Amount = \$ \ 485.1[/tex]

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In this exercise we will use the differential equations to calculate finances, we find that:

a) [tex]Profit = (x - 3)f(x)[/tex]

b) [tex]P' = f(x) + (x - 1) f'(x)[/tex]

c) [tex]P' = 29400[/tex]

The cost of producing the items is the total expenses of production while the revenue is the amount of money generated from selling the item.

a)Then using the given formula and substituting for the known values ​​we find that;

[tex]Cost = \ cost \ of \ producing \ one \ item * number \ of \ items \ produced\\Cost = $3 * f(x) = 3f(x)\\Revenue = selling \ price \ of \ one \ item * number \ of \ items \ produced\\Revenue = x * f(x) = xf(x)\\Profit = Revenue - Cost = xf(x) - 3f(x)\\Profit = (x - 3)f(x)[/tex]

b) Applying knowledge of differential equations we find that:

[tex]P' = d/dx(xf(x) - 3f(x) )\\P' = f(x) + xf'(x) - f'(x)\\P' = f(x) + (x - 1) f'(x)[/tex]

c)Substituting the known values ​​into the formula given above, we find that:

[tex]f(x) = 3000, x = $45, f'(x) = -600 items / 1$\\P' = 3000 + (45 - 1)(-600)\\P' = 3000 + 26400\\P' = 29400[/tex]

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Answer:

The probability that 2 or more of the original 5,100 components may fail during the useful life of the product is:

= 0.001

Step-by-step explanation:

Probability of operating without failure = 0.999

The probability of failed component = 0.001 (1 - 0.999)

The number of components of the electronic office product = 5,100

The number of components that may fail, given the above successful operation = 5.1 (0.001 * 5,100).

Therefore, the probability that 2 or more of the original 5,100 components may fail during the useful life of the product = 0.001

Probability of component failure is the likelihood that a component fails during the useful life of the product.  It is expressed as the number of likely failed components divided by the total number of components.  This result can be left in decimal form or expressed as a percentage.

Following are the solution to the given expression:

[tex]\to \text{p = p (failure)} = 1 -0.999 = 0.001 \\\\[/tex]

We employ the binomial approximation of the normal distribution with mean.

[tex]\to \mu = np = 5100(0.001) = 5.1 \\\\ \to \text{standard deviation} \ (\sigma) = \sqrt{np(1-P)}[/tex]

                                         [tex]= \sqrt{5100(0.001)(1-0.001)} \\\\ = \sqrt{5.1 \times (0.999)} \\\\= \sqrt{5.0949 } \\\\= 2.2572[/tex]

It require [tex]p(x\geq 2)[/tex] but we find [tex]p(x \geq 1.5)[/tex],  because of [tex]0.5[/tex] correction.

Here

[tex]\to z = \frac{X-\mu}{\sigma }[/tex]

       [tex]=\frac{1.5-5.1}{2.2572} \\\\ =\frac{-3.6}{2.2572} \\\\ = -1.59 \\\\[/tex]

Calculating the required probability:  

[tex]\to p(z \geq -1.59)[/tex]

[tex]=1+ p(z< 1.59) \\\\= 1+ 0.9440826[/tex] , by standard normal table  

[tex]= 1.9440826 \approx 1.944[/tex]

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Answer:

$87.50

Step-by-step explanation:

35 is the original price. we are increasing it by 150% i like to break it up

100 percent increase would just be adding another 35 to it. so 35+35=70

then we have a 50% increase 35/2=17.50

70+17.50=87.50

Answer:

i think 25.09 weighs more

Step-by-step explanation: well simply 25.018 has more decimal places down therefore making it a smaller number

sorry if you get it wrong :c

Answer:

[tex]\frac{x^3}{z^2}[/tex]

Step-by-step explanation:

There are no given values, therefore we can't determine a definite answer. However, we are able to simplify the expression.

As we all know that any variable or number to the power of 0 is equal to 1. This means that [tex]y^0 = 1[/tex].

We also know that a negative power can bring the variable down and make it a fraction. This means that [tex]z^-^2=\frac{1}{z^2}[/tex]

Now that we got these two sorted we are able to write it in a simplified form.

Answer: [tex]\frac{x^3}{z^2}[/tex]

Answer:30

Step-by-step explanation: please

Lisa take approximately 30 minutes(time) to run 5 miles at the same rate she ran 3 1/2 miles in 21 minutes.

To find out how long it will take Lisa to run 5 miles at the same rate, we can set up a proportion using the distance and time data.

Let's denote the time it will take her to run 5 miles as "t" (in minutes).

The proportion can be set up as follows:

(3.5 miles) / (21 minutes) = (5 miles) / (t minutes)

Now, cross-multiply and solve for "t":

3.5 × t = 21 × 5

3.5t = 105

Divide both sides by 3.5 to isolate "t":

t = 105 / 3.5

t = 30

So, it will take Lisa approximately 30 minutes to run 5 miles at the same rate she ran 3 1/2 miles in 21 minutes.

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Answer:

16 percent

Step-by-step explanation:

Answer:

6x+8=35

35=8+6x

Step-by-step explanation:

id.k about 35=8+x+X+X+x+X+x

Answer: 32%

Step-by-step explanation:

Number of students in grade 9-10 who likes rap = 40

Total number of students in grade 9-10 = 125

The percentage of the students in grades 9–10 who like rap music will be:

= Number of students in grade 9-10 who likes rap / Total number of students in grade × 100

= 40/125 × 100

= 0.32

= 32%

Answer:

32%

Step-by-step explanation:

Answer:

58.65 because I just know what the answer is

Answer:

[tex]\frac{24}{35}mi[/tex]

Step-by-step explanation:

Area = length • width

area = [tex]\frac{3}{5}mi^{2}[/tex]

length = [tex]\frac{7}{8} mi[/tex]

width = x

[tex]\frac{3}{5} = \frac{7}{8} x[/tex]                   multiply both sides by [tex]\frac{8}{7}[/tex] (the reciprocal of [tex]\frac{7}{8}[/tex])

[tex](\frac{8}{7})(\frac{3}{5}) = x[/tex]

x = [tex]\frac{24}{35}[/tex]

Answer:

24/35 is your answer

Divide 3/5 by 7/8 to get the answer of 24/35

Answer:

32%

Step-by-step explanation:

50% of the first solution is HCL, so it has

80 ml x 50% = 80 ml x 0.5 = 40 ml of HCL

Similarly the second solution has 20% of HCL, so

120 ml x 20% = 120 ml x 0.2 = 24 ml of HCL

The combined solution will have 40 ml + 24 ml = 64 ml of HCL.

The total volume of the 2 solutions is 80 ml + 120 ml = 200 ml.

We can now calculate the concentration of HCL in the mixed solution, by dividing the volume of HCL by the total volume of the solution,

64 ml / 200 ml = 0.32 = 32%

Answer:

$8 an hour

Step-by-step explanation:

56/7= 8

Answer:

$8 per hour.

Step-by-step explanation:

56/7=8

Answer:

The final set of ordered pairs represents a function.

Step-by-step explanation:

Each X value corresponds to exactly one y- value. Essentially, none of the x values are the same in the final set.

Answer:

(x,y)=(-3,3)

Step-by-step explanation:

Answer:

The cost of that car in 2012 dollars is $20,755

Step-by-step explanation:

We take a look at inflation values of the dollar to solve this question.

100 dollars in 1976 are equivalent to 469.48 dollars in 2021.

100 dollars in 2012 are worth 113 dollars today.

So, to find the 2012 equivalent, we divide 469.48 by 113/100 = 1.13. So

469.48/1.13 = 415.5.

That is, 100 dollars in 1976 are equivalent to 415.5 dollars in 2012, that is, 1 dollar in 1976 was worth 4.155 dollars in 2012.

In 1976, a certain model of car cost $5,000. What would be the cost of that car in 2012 dollars?

Multiplying by 4.155

5000*4.155 = 20,755

The cost of that car in 2012 dollars is $20,755

Answer:

Percentage = 14.2%

Step-by-step explanation:

Given the following data;

Cost of plane ticket = £588

Airport tax = $130

£1 = $1.34

To find the percentage of the total cost spent on airport tax;

First of all, we would convert the ticket cost in pounds (£) to dollars ($).

Cost of plane ticket = £588 to $ = 588 * 1.34 = $787. 92

Total cost = Cost of plane ticket + Airport tax

Total cost = 787. 92 + 130

Total cost = $917.92

[tex] Percentage \; cost = \frac {130}{917.92} * 100 [/tex]

[tex] Percentage = 0.1416 * 100 [/tex]

Percentage cost = 14.16 to 1 d.p = 14.2%

Therefore, the percentage of the total cost spent on airport tax by Rimo is 14.2 percent.