Serena bought 4 packs of pencils and 12 notebooks
for fall semester which cost her $60.00. She then
bought 14 packs of pencils and 7 notebooks for
spring semester which cost her $70.00. How much
did each pack of pencils and each notebook cost?

Answer:

Unknown, Solve for x or y?

Step-by-step explanation:

You need to elaborate on your answer... sorry.

In the meantime, here is Microsoft Math Solver, With your equations:

https://mathsolver.microsoft.com/en/solve-problem/x-y%20%3D%20%203

You can use this tool next time :)

Have a great day,

Nate

Answer:c

Step-by-step explanation:c

Answer:

y = 2

Step-by-step explanation:

x + y = 8

6 + y = 8  Subtract 6 from both sides of the equation

y = 2

Answer:

it's ¢.34

Step-by-step explanation:

a gallon has 16 cups

since there are two gallons that's 32

the price of the two gallons divided my 32 is how much each cup would be so 10.88/32 would be ¢.34

The radius of the circle is 5 units.

To find the radius of the circle in the xy-plane with a center at (1, 5) and containing the point (4, 9), we can use the distance formula. The distance between two points (x1, y1) and (x2, y2) is given by:

d = √((x2 - x1)^2 + (y2 - y1)^2)

In this case, we have the center at (1, 5) and the point on the circle at (4, 9). Plugging these values into the distance formula, we get:

d = √((4 - 1)^2 + (9 - 5)^2)

= √(3^2 + 4^2)

= √(9 + 16)

= √25

= 5

To know more about radius of the circle refer here:

https://brainly.com/question/31831831#

#SPJ11

From the given question:

(-76-46) + (-85-46) + (13-46) + (-29-46) + (89-46) + (-65-46) + (3-46) + (64-46) + (-81-46) + (-35-46)

Answer:

x = 6

Step-by-step explanation:

Tip: You want to isolate the x-variable on one side of the equation to find its value.

1) First, get rid of the radical signs on both sides of the equation by squaring both sides. This should leave you with 5x-7 = 3x+5.

2) Get the x-variables on one side by subtracting 3x from both sides, so the equation should be 2x-7=5.

3) Solve for x by adding 7 to both sides, so that your equation looks like this: 2x = 12.

4) Divide both sides by 2 and you will get x = 6. You can verify 6 as the x-value by plugging 6 back into the original equation.

I hope that helps! :)

Answer:

x=6

Step-by-step explanation:

Attached is a two-way frequency table, to help Hugo organize the results.

A two-way frequency table is a table used to organize and display the relationship between two categorical variables. It is constructed by counting the number of occurrences of each combination of categories and presenting the results in a table format.

1. Identify the categorical variables and list their possible categories.

cat, no cat, dog, no dog

2. Count the number of observations for each combination of categories.

cat = 17

no dog = 20

no cat no dog = 7

3. Organize the counts in a table with the categories of one variable as rows and the categories of the other variable as columns.

          | dog | no dog | total

cat      |        |              |   17  |

no cat |        |     7       |        |

total    |        |     20    |   41  |

4. Fill in the table with the counts of the observed combinations of categories.

cat but no dog = 20 - 7 = 13

both cat and dog = 17 -13 = 4

total no cat = 41 - 17 = 24

total dog = 41 - 20 = 21

dog but no cat = 24 - 7 = 17

          | dog | no dog | total

cat      |   4   |      13     |   17  |

no cat |   17  |     7       |   24  |

total    |   21  |     20    |   41  |

Learn more about two-way frequency table here: https://brainly.com/question/16148316

#SPJ4

Step-by-step explanation:

the volume of gallon is 14 1/4=57/4

the volume of bucket is 1 1/4=5/4

Divide 57/4÷5/4

\( \frac{57}{4} \div \frac{5}{4} \\ \\ \frac{57}{4} \times \frac{4}{5} \\ \frac{57}{5} = 11.4 \)

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

Learn more about Scheduling here:

brainly.com/question/30012511

#SPJ4

Answer: 26.67

Step-by-step explanation: multiply 20 and 4/3

Ratios are used to show how two quantities compare.

The number of crocodiles is 15, when the number of hippos is 20

The given parameter is:

\(\mathbf{Hippos:Crocodiles = 4 : 3}\)

From the question, we understand that the number of hippos is 20.

So, the ratio becomes

\(\mathbf{20 : Crocodiles = 4 : 3}\)

Express ratio as a fraction

\(\mathbf{\frac{Crocodiles}{20} = \frac{3}{4}}\)

Multiply both sides by 20

\(\mathbf{\frac{Crocodiles}{20} \times 20 = \frac{3}{4} \times 20}\)

Simplify the left-hand side

\(\mathbf{Crocodiles= \frac{3}{4} \times 20}\)

Multiply

\(\mathbf{Crocodiles= \frac{60}{4}}\)

Divide

\(\mathbf{Crocodiles= 15}\)

Hence, the number of crocodiles is 15

See attachment for the double number line that illustrates the number of crocodiles and hippos

Read more about ratios at:

https://brainly.com/question/1504221

To determine the margin of error for a 98% confidence interval, we need to use the formula: Margin of Error = Z* * Standard Error.

Where Z* is the z-value from the standard normal distribution that corresponds to a 98% confidence level, and Standard Error is the standard deviation of the sampling distribution of proportions.

Using the given table, we can find that the z-value for a 98% confidence level is 2.33, To find the standard error, we use the formula: Standard Error = √((p(1-p))/n).

Where p is the sample proportion and n is the sample size, For part (a), where n=100 and p=0.70, the standard error is: √((0.70(1-0.70))/100) = 0.0463,Therefore, the margin of error is: 2.33 * 0.0463 = 0.1077,

So the margin of error for a 98% confidence interval to estimate the population proportion with a sample proportion equal to 0.70 and sample size n=100 is 0.108 (rounded to three decimal places). For part (b), where n=200 and p=0.70, the standard error is: √((0.70(1-0.70))/200) = 0.0327, Therefore, the margin of error is: 2.33 * 0.0327 = 0.0762

So the margin of error for a 98% confidence interval to estimate the population proportion with a sample proportion equal to 0.70 and sample size n=200 is 0.076 (rounded to three decimal places). For part (c), where n=250 and p=0.70, the standard error is: √((0.70(1-0.70))/250) = 0.0293,

Therefore, the margin of error is: 2.33 * 0.0293 = 0.0681, So the margin of error for a 98% confidence interval to estimate the population proportion with a sample proportion equal to 0.70 and sample size n=250 is 0.068 (rounded to three decimal places).

To know more about decimal click here

brainly.com/question/29775125

#SPJ11

The lengths of the sides are: AP = 7cm BC = 6cm BX = 28/3 cm and

QN = 12cm.

A triangle is a three-sided polygon with three angles. It is a fundamental geometric shape and is often used in geometry and trigonometry.

Since triangles P and Q are similar, their corresponding sides are proportional. That means:

AP/PN = BX/QN

We know that AP = 7cm and PN = 9cm, so we can substitute those values:

7/9 = BX/QN

We also know that QC = 6cm, so we can find QN by subtracting CN from QC:

QN = QC - CN

QN = 18cm - 6cm

QN = 12cm

Now we can solve for BX:

7/9 = BX/12

Multiplying both sides by 12, we get:

BX = 84/9

Simplifying, we get:

BX = 28/3 cm

Therefore, the lengths of the sides are:

AP = 7cm

BC = 6cm

BX = 28/3 cm

QN = 12cm

To learn more about triangles from the given link:

https://brainly.com/question/2773823

#SPJ1

Complete question:

Answer:

< ABE  = 109

Step-by-step explanation:

Angle Formed by Two Chords = 1/2(SUM of Intercepted Arcs)

< ABE = 1/2 ( 38+ 180)

< ABE = 1/2( 218)

< ABE  = 109

Answer:

B. $18.00

Step-by-step explanation

160/4 divide 160 by 4 to see how much Miss Adams makes and hour

She makes $4 an hour

multiply this ($4) by her idle time (4.5) hours to get $18

The value of a should be 2 for the function to be composite.

What is composite function?

When two functions, f and g, are combined to create a third function, h, the result is such that h(x) = g(f(x)).

Main Body:

A commutative function means that when you insert one function in space of x in the other function, they will equal x. The equation is

f(g(x)) = g(f(x)) = x

So, 2(\(\frac{x+1}{a}\)) - 1 = \(\frac{(2x-1)+1}{a}\)

If you multiply both sides by a, you get   2a(\(\frac{x+1}{a}\)) - a = (2x-1)+1

Simplify it                                                   2a(\(\frac{x+1}{a}\)) - a = 2x

Add a to both sides                                    2a(\(\frac{x+1}{a}\))  = 2x +a

The two as on the left cancel out                   2(x+1)=2x+a

Distribute the 2:                                              2x+2=2x+a

Then subtract 2x from both sides                        2 = a

Therefore, a = 2

To learn more about composite function , visit;

https://brainly.com/question/10687170

#SPJ4

Answer:

B. 2

Step-by-step explanation:

Right on Edge

Based on the evaluation of Faith's register, faith did a good job; everything is correct

= 880.64

= $1,464.31

Learn more about debit and credit transaction:

https://brainly.com/question/13669524

#SPJ4

The probability that the student will get exactly 3 correct answers by guessing on all 7 questions is approximately 0.0977 or 9.77%.

To calculate the probability that a student will get exactly 3 correct answers by guessing on all 7 questions, we can use the binomial probability formula.

The probability of getting exactly k successes in n independent trials, each with a probability p of success, is given by the formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

In this case, n = 7 (number of questions), k = 3 (number of correct answers), and p = 1/5 (probability of guessing the correct answer for each question).

Plugging in these values, we get:

P(X = 3) = C(7, 3) * (1/5)^3 * (4/5)^(7 - 3)

Calculating the binomial coefficient and simplifying, we have:

P(X = 3) = 35 * (1/5)^3 * (4/5)^4

Evaluating this expression gives:

P(X = 3) ≈ 0.0977

Know more about probability here:

https://brainly.com/question/32004014

#SPJ11

To rewrite the integral ∫(2x)\(e^{4x^{2} }\)dx using integration by parts, we'll consider the function f(x) = (2x) and g'(x) = \(e^{4x^{2} }\).

Integration by parts states that ∫u dv = uv - ∫v du, where u and v are functions of x.

Let's assign:

u = (2x) => du = 2 dx

dv = \(e^{4x^{2} }\) dx => v = ∫\(e^{4x^{2} }\) dx

To evaluate the integral of v, we need to use a technique called the error function (erf). The integral cannot be expressed in terms of elementary functions. Hence, we'll express the integral as follows:

∫\(e^{4x^{2} }\) dx = √(π/4) × erf(2x)

Now, we can rewrite the integral using integration by parts:

∫(2x)\(e^{4x^{2} }\) dx = uv - ∫v du

= (2x) × (√(π/4) × erf(2x)) - ∫√(π/4) × erf(2x) × 2 dx

= (2x) × (√(π/4) × erf(2x)) - 2√(π/4) × ∫erf(2x) dx

The integral ∫erf(2x) dx can be further simplified using substitution. Let's assign z = 2x, which implies dz = 2 dx. Substituting these values, we get:

∫erf(2x) dx = ∫erf(z) (dz/2) = (1/2) ∫erf(z) dz

Therefore, the final expression becomes:

∫(2x)\(e^{4x^{2} }\) dx = (2x) × (√(π/4) × erf(2x)) - √(π/2) × ∫erf(z) dz

Please note that the integral involving the error function cannot be expressed in terms of elementary functions and requires numerical or tabulated methods for evaluation.

Learn more about integral here:

https://brainly.com/question/31109342

#SPJ11

Answer:

True hope this helpss

Step-by-step explanation:

true

Answer:

True

Step-by-step explanation:

Took the test and it was correct.

(a) The average value fave of f(x) =\((x - 6)^2\) on the interval [5, 8] is 251/9.

(b)  C is equal to 6 plus or minus the square root of 251/9.

(a) To find the average value fave of f(x) =\((x - 6)^2\) on the interval [5, 8], we need to calculate the definite integral of f(x) over the interval and then divide it by the length of the interval.

The average value is given by:

fave = (1 / (b - a)) * ∫[a, b] f(x) dx

In this case, a = 5 and b = 8. Let's calculate the average value:

fave = (1 / (8 - 5)) * ∫[5, 8]\((x - 6)^2 dx\)

To integrate\((x - 6)^2,\) expand it first:

\((x - 6)^2 = x^2 - 12x + 36\)

Now we can integrate:

fave = (1 / 3) * ∫\([5, 8] (x^2 - 12x + 36) dx\)

     = (1 / 3) * [\(((1/3)x^3 - 6x^2 + 36x)\) | from 5 to 8]

Evaluating the definite integral, we have:

fave = (1 / 3) *\([((1/3)(8)^3 - 6(8)^2 + 36(8)) - ((1/3)(5)^3 - 6(5)^2 + 36(5))]\)

     = (1 / 3) * [(512/3 - 384 + 288) - (125/3 - 150 + 180)]

     = (1 / 3) * [(-16/3 + 288) - (35/3 - 150 + 180)]

     = (1 / 3) * [(256/3) - (5/3)]

     = (1 / 3) * (251/3)

     = 251/9

Therefore, the average value fave of f(x) =\((x - 6)^2\) on the interval [5, 8] is 251/9.

(b) To find c such that fave = f(c), we set f(c) equal to the average value and solve for c:

f(c) = fave

\((c - 6)^2 = 251/9\)

Taking the square root of both sides:

c - 6 = ± √(251/9)

Solving for c:

c = 6 ± √(251/9)

Therefore, c is equal to 6 plus or minus the square root of 251/9.

Learn more about interval  here:

https://brainly.com/question/11051767

#SPJ11

Answer:

y=4x

Step-by-step explanation:

X would be the blue and the 4 represents the number of which each blue is increased by.

4(1)=4

4(2)=8

4(3)=12

4(4)=16

4(5)=20

and so on

hope this helped

Answer:

Answer is 159

Step-by-step explanation:

Use PEMDAS

First, solve paranthesis

10² + 8² - 5

Then from left to right, solve the exponents

100 + 8² - 5

100 + 64 - 5

Then, add

164 - 5

Subtract

159

Answer:

=159

Step-by-step explanation:

10^2 + (3+5)^2 - 5

10^2 = 10 x 10 = 100

100+ (3+5) (3+5) - 5

100+(8)(8)-5

100+64-5

164-5

=159

Hope this helps! :)

Answer:

2:

x = 85

5:

x = 85

A = 275

Step-by-step explanation:

Question 2:

The sum of all the angles in a triangle is 180 degrees!

So, 45 + 40 + x = 180

95 + x = 180

x = 85

So, x = 85 degrees

Question 5:

(See attached for my on these angles, since it's hard to explain in text)

So, x + 40 + 55 = 180

95 + x = 180

x = 85

Now, let's find outside angle A

x + A = 360 (If you noticed, it's a full circle here)

85 + A = 360

A = 275 degrees

I hope this helped!!

The company would get approximately 1411 total responses over the course of the first 13 days after the magazine was published, according to decreasing geometric sequence.

To find the total number of responses over the course of the first 13 days, we need to calculate the sum of the responses for each day.

On the first day, the company received 190 responses.

On the second day, the responses declined by 10%, so the company received 190 - (10% of 190) = 190 - 19 = 171 responses.

On the third day, the responses declined by 10% again, so the company received 171 - (10% of 171) = 171 - 17.1 = 153.9 responses.

We can continue this pattern for the remaining days, subtracting 10% of the previous day's responses each time.

Using this approach, we find that the total number of responses over the course of the first 13 days is approximately 190 + 171 + 153.9 + ... (13 terms).

To calculate this sum, we can use the formula for the sum of a geometric sequence:

Sum = \(\frac{{a \times (1 - r^n)}}{{1 - r}}\)

In this case, a = 190 (the first term), r = 0.9 (the common ratio, since the responses decline by 10% each day), and n = 13 (the number of terms).

Plugging in these values, we get:

Sum = \(\frac{{190 \times (1 - 0.9^{13})}}{{1 - 0.9}}\)

Calculating this expression gives us the approximate total number of responses over the course of the first 13 days.

Let's continue calculating the sum:

Using the formula for the sum of a geometric series:

Sum = \(\frac{{a \times (1 - r^n)}}{{1 - r}}\)

In this case, a = 190, r = 0.9, and n = 13.

Plugging in these values, we have:

Sum = \(\frac{{190 \times (1 - 0.9^{13})}}{{1 - 0.9}}\)

Calculating the expression gives us:

Sum = \(\frac{{190 \times (1 - 0.2541865828)}}{{1 - 0.9}}\)

Sum ≈ \(\frac{{190 \times 0.7458134172}}{{0.1}}\)

Sum ≈ 141.1049155 / 0.1

Sum ≈ 1411.049155

Rounding to the nearest whole number, the company would get approximately 1411 total responses over the course of the first 13 days after the magazine was published.

For more questions on decreasing geometric sequence:

https://brainly.com/question/14727950

#SPJ8

Answer:

Like radicals are those terms that are similar, just like like terms. From this concept we find that option A is correct. 4[∛(7x)] and ∛(7x) are like radicals.

Step-by-step explanation:

Mathematically, like radicals are just like like terms. For example,

x, 2x, -10x, , 7.3x are like terms because the power of x in each case is 1.

xy², -9xy², 13y²x are like terms because the total power of each expression is 3.

Similarly, like radicals are:

√2, -5√2, 1.1√2, etc.

Hence, from the given options, like radical to ∛(7x) is: 4[(7x)].

For more explanation, refer the following link:

https://brainly.com/question/11677568

#SPJ10

Answer: $51.48

Step-by-step explanation:

If a $52 item is marked up by 10%, its new price will be:

$52 + 10% of $52 = $52 + $5.20 = $57.20

Then, if this new price is marked down by 10%, the final price will be:

$57.20 - 10% of $57.20 = $57.20 - $5.72 = $51.48

Therefore, the final price of the item after the markup and markdown is $51.48.

The 30th percentile for waiting times is 2.4 minutes.

What is percentile?

In statistics, a score below which a specific percentage k of scores in its frequency distribution falls (exclusive definition) or a score at or below which a particular percentage falls is known as a k-th percentile (percentile score or centile).

For instance, the 50th percentile (the median) is the score that, according to the "exclusive" definition, is at or below the point at which 50% of the scores in the distribution are located (by the "inclusive" definition). When human weight is a factor in the input scores, the corresponding percentiles will be expressed in kilograms or pounds. Percentiles are expressed in the same unit of measurement as the input scores. Depending on the distribution of values for a specific variable, a population can be classified into each of the 100 equal groups.

In statistics, 30th percentile simply means 30% or three-fifths of the whole. So, for this problem, you just have to simply determine the 30% of the waiting time. It is solved as follows:

30th percentile = (0.30)(8 minutes) = 2.4 minutes.

To know more about percentile, please visit:

https://brainly.com/question/23374992

#SPJ4