I have 2 questions, What is 1/4 x 9 =? then 2/5 x 12 ( Multiplying fractions by whole numbers using tape diagrams)

Answer:

533.15

Step-by-step explanation:

$15*19.85+3*5.62+7*31.22

=533.15

Make me brainliest

The best estimate in dollars for the classroom items will be equal to $533.15.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the data given in the question,

Total pencil boxes = 15

Price of each pencil box = is $19.85

Then, the price of 7 pencil boxes will be: 15 × $19.85 = $297.75

Total Erasers boxes = 3

Price of each eraser box = is $5.62

Then, the price of 3 eraser boxes will be: 3 × $5.62 = $16.86

Total dry-erase boxes = 7

Then, the price of 7 dry-erase boxes will be: 7 × $31.22 = $218.54

Then, the total price of all these items will be,

$297.75 + $16.86 + $218.54 = $533.15

To know more about arithmetic operations:

https://brainly.com/question/25277954.

#SPJ2

Answer:

4.25c + 3.5p = 36.50

c + 6 = p

c = candies and p = pretzels

Step-by-step explanation:

So for the first equation, the prices will be the coefficients of each variable, since for each candy/pretzel it will be that price. We also know that both of these prices together equal 36.50, so that will be on the other side of the equal sign. So the equation representing this info is 4.25c + 3.5p = 36.50

And for the second equation I saw that Mason bought 6 more pretzels than candies. So no matter what number the candies is, the pretzels should always be 6 more than the candies. So the equation representing this information is c + 6 = p

Lastly I just defined the variables that I used to right the system. That is all! Hope this helps you this should be correct :)

Answer:

The location of point K after a translation

the location of point k after a translation

Step-by-step explanation:

Answer:

3t^2 + 8t + 2

Combine like terms

2 + 10t - 2t + 3t2

2+ 8t + 3t^2

The quadratic equation is decreasing on the interval (3, ∞).

Here we have the quadratic function:

y = 8 - (x - 3)^2

Remember that the quadratic equation in the vertex form can be written as:

y = a*(x - h)^2 + k

Then in this case the vertex is at (3, 8).

And we can see that the leading coefficient is -1, then the vertex is a maximum and after that the function starts decreasing.

Thus, the function decreases on the interval (3, ∞).

Learn more about quadratic equations at.

https://brainly.com/question/1214333

#SPJ1

Answer:

(x + 1)² = 1 - 4a

Step-by-step explanation:

\(\frac{x+a}{x}\) + \(\frac{x-2}{4}\) = 0

multiply through by 4x ( the LCM of x and 4 ) to clear the fractions

4(x + a) + x(x - 2) = 0

4x + 4a + x² - 2x = 0

x² + 2x + 4a = 0 ( subtract 4a from both sides )

x² + 2x = - 4a

using the method of completing the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(1)x + 1 = - 4a + 1

(x + 1)² = 1 - 4a

with p = 1 and q = 1 - 4a

The probability that the remaining bill is a $2 bill is approximately 0.2857 or 28.57%.

To solve this problem, we can use conditional probability. Let's denote the events as follows:

A: The wallet initially contains a $2 bill.

B: The wallet initially contains a $20 bill.

C: The bill drawn from the wallet is a $2 bill.

We want to find the probability of Provenience is the horizontal and vertical position of an artifact within the matrix.  A occurring given that event C has occurred, P(A|C).

To begin, let's analyze the given information:

- The wallet either contains a $2 bill or a $20 bill, with equal likelihood. So, P(A) = P(B) = 0.5.

- If the wallet initially contains a $2 bill (event A), the probability of drawing a $2 bill (event C) is 2/3, since there are two $2 bills and one $20 bill in the wallet.

- If the wallet initially contains a $20 bill (event B), the probability of drawing a $2 bill (event C) is 1/2, as there is only one $2 bill left in the wallet.

Now, let's calculate the probability using Bayes' theorem:

P(A|C) = (P(C|A) * P(A)) / P(C)

P(C|A) = 2/3 (probability of drawing a $2 bill given that the wallet initially contains a $2 bill)

P(C) = P(C|A) * P(A) + P(C|B) * P(B) (total probability of drawing a $2 bill)

P(C|B) = 1/2 (probability of drawing a $2 bill given that the wallet initially contains a $20 bill)

P(C) = (2/3 * 0.5) + (1/2 * 0.5) = 1/3 + 1/4 = 7/12

P(A|C) = (2/3 * 0.5) / (7/12)

      = 4/6 / 7/12

      = (4/6) * (12/7)

      = 2/7

Therefore, the chances that the remaining bill in the wallet is a $2 bill, given that a $2 bill was drawn, is 2/7 or approximately 0.2857 (or 28.57%).

So, the probability that the remaining bill is a $2 bill is approximately 0.2857 or 28.57%.

Learn more about probability here; brainly.com/question/31828911

#SPJ11

Answer:

Yes, by AA, since angle DEF is congruent to HEJ (vertical angles are congruent), and angle DFE is congruent to HJE.

So triangle DEF is similar to triangle HEJ.

Answer:

A. 3561 ft²

Step-by-step explanation:

πr² = the area of a circle

base · height = volume

9²π = 254.47

254.47 · 14 = 3561

The value of the indefinite integral is

Given:- The integration of   is given whose lower limit is  and upper limit is .

To Find:- We have to find the value of the integration of   is given whose lower limit is  and upper limit is .

By using the concept of indefinite integral it will be solved.

According to the problem,

Therefore, the value of the indefinite integral is .

#SPJ4

The area between the curves ( y=5 x ) and ( y=3 x+10 ), bounded by the lines ( x=0 ) and ( x=6 ), is 3 square units.

To find the area between two curves, we need to integrate the difference between the curves with respect to the variable of integration (in this case, x):

[ A = \int_{0}^{6} (5x - (3x+10)) dx ]

Simplifying the integrand:

[ A = \int_{0}^{6} (2x - 10) dx ]

Evaluating the integral:

[ A = \left[\frac{1}{2}x^2 - 10x\right]_{0}^{6} = \frac{1}{2}(6)^2 - 10(6) - \frac{1}{2}(0)^2 + 10(0) = \boxed{3} ]

Therefore, the area between the curves ( y=5 x ) and ( y=3 x+10 ), bounded by the lines ( x=0 ) and ( x=6 ), is 3 square units.

Learn more about area from

https://brainly.com/question/28020161

#SPJ11

Answer:

Step-by-step explanation:

The diameter to answer 3.92 A=4 pi r2 d=2r

The correct option is D. 1 − 0. 125 is NOT  the correct way to find the value of fraction 5/8.

Consider the given options;

A. 5÷8

5÷8 = 5/8 (correct)

B. 5⋅0. 125

5*0.125 = 0.625

5*0.125 = 5/8 (correct)

C. 0. 5+0. 125

5+0. 125 = 0.625

5+0. 125 = 5/8 (correct)

D. 1−0. 125

1−0. 125 = 0.785

1−0. 125 = 7/8 (not correct)

Thus, option D is not the correct way to solve the equation.

To know more about the fraction, here

https://brainly.com/question/78672

#SPJ4

The correct question is attached.

The x-intercept is (27,0). The time it takes to reach the bus stop

We first find the equation between time and distance as a linear function by finding the slope and y-intercept from the table values.

If we write the Time as x-values and Distance as y-values, we get the points,

(0,45), (3,40), (6,35), (9,30), (12,25)

We can find the slope from these points considering two points (0,45) and (3,40)

Slope = 45-40/0-3 = -5/3

The y-intercept of the function is the value of f(x) at x = 0.

Here, from the table, when x = 0, y = 45.

So y-intercept = 45

Then the equation of distance in terms of time is,

y = -(5/3)x+45

The x-intercept is the x-value when y = 0.

So when y = 0,

0 = -(5/3)x+45

⇒ (5/3)x=45

⇒ x = 45x 3/5

⇒ x = 27

Therefore, x-intercept = (27,0).

It is the time (in minutes) when distance = 0 meters.

So x-intercept is the time it takes to reach the bus stop.

Learn more about x-intercept at https://brainly.com/question/3951754

#SPJ1

Answer:

B)  (27,0); the time it takes to reach the bus stop

Null hypothesis (H0): The average weight of Coke cans is 12 ounces. Alternative hypothesis (Ha): The average weight of Coke cans is different from 12 ounces.

Based on the sample data, with a p-value of 0.03, we reject the null hypothesis and conclude that there is evidence of a deviation from the standard weight of 12 ounces. The average calories of frozen mac and cheese are 300. Alternative hypothesis (Ha): The average calories of frozen mac and cheese is different from 300. Based on the sample data, with a p-value of 0.1, we fail to reject the null hypothesis and do not have sufficient evidence to conclude that the dinners have more than 300 calories.

The average number of Clue games sold per week is 20. Alternative hypothesis (Ha): The average number of Clue games sold per week is less than 20. Based on the sample data, with a p-value of 0.01, we reject the null hypothesis and conclude that there is evidence that the average number of games sold is below 20.

In hypothesis testing, the null hypothesis (H0) represents the assumption or claim to be tested, while the alternative hypothesis (Ha) represents the opposite or alternative to the null hypothesis. The p-value is a measure of the evidence against the null hypothesis. In the first scenario, Coke wants to ensure that the average weight of its cans is 12 ounces. The sample data shows a sample average weight of 12.1 ounces with a p-value of 0.03. Since the p-value is less than the typical significance level of 0.05, we reject the null hypothesis and conclude that there is evidence of a deviation from the desired standard weight.

In the second scenario, the frozen dinner company wants to determine if their mac and cheese meals have more than 300 calories. The sample data shows a sample average of 305 calories with a p-value of 0.1. Since the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis. This means that there is not enough evidence to conclude that the dinners have more than 300 calories. In the third scenario, the Target store wants to assess if the average number of Clue games sold per week falls below 20. The sample data shows a sample average of 18 games sold per week with a p-value of 0.01. Since the p-value is less than the significance level of 0.05, we reject the null hypothesis and conclude that there is evidence that the average number of games sold is below 20.

Overall, in hypothesis testing, the conclusions are based on the p-value and the significance level chosen. Rejecting the null hypothesis suggests evidence against the initial assumption while failing to reject the null hypothesis indicates insufficient evidence to support the alternative hypothesis.

Learn more about  p-value here:- brainly.com/question/30461126

#SPJ11

Answer:

C

Step-by-step explanation:

A quadratic function can be defined as a function where the highest degree or exponent is 2. Since option B has a zero in front of the x squared, it is not a quadratic function because 0 times anything is zero. Therefore, the only other option with an exponent of 2 is C.

Hope this helped! :D

The samples of size n = 2 that can be drawn from this population is 28

From the question, we have the following parameters that can be used in our computation:

Population, N = 8

Sample, n = 2

The samples of size n = 2 that can be drawn from this population is calculated as

Sample = N!/(n! * (N - n)!)

substitute the known values in the above equation, so, we have the following representation

Sample = 8!/(2! * 6!)

Evaluate

Sample = 28

Hence, the number of samples is 28

Read more about sample size at

https://brainly.com/question/17203075

#SPJ1

Complete question

A finite population consists of 8 elements.

10,10,10,10,10,12,18,40

How many samples of size n = 2 can be drawn this population?

Maximum 8A/144 people are allowed to entire the park.

The entire space taken up by the surface of the park is called area.

If the park is rectangular shaped, then the area is the product of length and breadth. If it is square shaped, area can be determined by the square of the side length.

Given, length of unused space = 12 foot

    breadth of unused space = 12 foot

Area of unused space = 12 x 12 = 144 square feet

Maximum 8 people is allowed for every 144 squares feet space

Let, area of the entire park is A square feet

Now maximum number of people allowed = (8 × A)/ 144

hence, 8A/144 people is allowed.

To know more about area visit:

https://brainly.com/question/19477740

#SPJ4

Answer:

y=4  x=2

Step-by-step explanation:

y=2x ⇒ I

y=10x-16 ⇒ II

y/2=2x/2

x=y/2 OR 1/2(y)

substitute I in II

y=10(y/2)-16

y=5y-16

SWAP -16 AND y

5y-y=16

4y/4=16/4

y=4

y=2x

(4)/2=2x/2

x=2

Answer:

69.4 inches

Step-by-step explanation:

A kite is a quadrilateral (has four sides and four angles) with two pairs of congruent adjacent sides. The diagonals of a kite are perpendicular to each other.

To prove that quadrilateral ADBC is a kite, the diagonals of the kite have to be perpendicular to each other.

AD ⊥ BC.

Since adjacent sides are equal to each other, hence:

BC = BD, AC = AD

The coordinate of the vertices are A(11, 0), B(11, 26), C(0, 18) and D(22, 18)

\(BC=\sqrt{(0-11)^2+(18-26)^2} =13.6\ unit\\\\AC=\sqrt{(0-11)^2+(18-0)^2} =21.1\ unit\)

BC = BD, AC = AD

Perimeter of kite = BC + BD + AC + AD = 2BC + 2AC = 2(13.6) + 2(21.1) = 69.4 units = 69.4 inches

Answer: 69

Step-by-step explanation:

Answer: y=5x-11

Step-by-step explanation:

Step-by-step explanation:

x=120⁰

hdbdbdddfhcydhgdjvds

Answer:

True

Step-by-step explanation:

m+m+y+(5a+3m)=5a+5m+y (combine like terms, we do 3+1+1=5 for the coefficent of m

~cloud

explanation:

the hypotenuse is 15 cm with the opposite side being h cm.

The angle is 31°

Thus, using trigonometric ratio, we have;

h/15 = sin 31

h = 15 sin 31

h = 15 × 0.5150

h = 7.725

Approximating to 1 decimal place gives;

h = 7.7 cm

The sequence \(`x[n]` is given by `x[n] = (150/7)(0.25)^n`\).

The given z-transform is \(`X(z) = 1 - (1/6)z^(-3)/1 - (1/4)z^-1` with ROC `|z| > 1/4\)`. We are to determine the inverse Z-transform of \(`X(z)` to obtain `x[n]`.To find `x[n]`\), we use the inverse Z-transform formula, which is given as: \(`x[n] = (1/2πj) ∮ X(z)z^n dz`\) where the integration is over a closed path in the ROC of\(`X(z)` and `j`\) is the imaginary unit.

We can use the residue theorem to evaluate the inverse Z-transform, and this involves finding the poles of the z-transform as well as their corresponding residues. Here, we have two poles of \(`X(z)` at `z = 0.25` and `z = ∞`. Since `|z| > 1/4`\), the ROC contains the pole at \(`z = 0.25`\).Thus, the inverse Z-transform of `X(z)`\(`X(z)`\) is given as\(:`x[n] = (1/2πj) ∮ X(z)z^n dz``        = (1/2πj)\)

\([Residue at z = 0.25] + [Residue at z = ∞]``        = (1/2πj) [(1 - (1/6)z^(-3))/(1 - (1/4)z^-1)]z^n|z=0.25 + [Residue at z = ∞]``        = (1/2πj) [(1 - (1/6)0.25^(-3))/(1 - (1/4)(0.25)^-1)](0.25)^n + 0``        = (150/7)(0.25)^n`\)

Learn more about sequence

https://brainly.com/question/32622869

#SPJ11

Answer:

f(-15) = -60

Step-by-step explanation:

Plug in -15 for x:

f(x) = 4x; f(-15) = 4(-15)

Multiply. Note that when you multiply one negative and one positive number together, your answer will be negative.

4 * -15 = -60

-60 is your answer.

~

The ounces of cheese Ellie uses to make tacos is 2

What is a unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Calculation :

1 pound = 16 ounces

Total cheese Ellie has = \(\frac{2}{8}\) pound

Cheese required to make tacos = \(\frac{2}{8}\)×\(\frac{1}{2}\) = \(\frac{1}{8}\) pounds

Ounces of cheese required to make cheese are \(\frac{1}{8}\) × 16 = 2 ounces

learn more about the unitary method here :

brainly.com/question/17110989

#SPJ1

Answer:

Step-by-step explanation: 30%

Step-by-step explanation:

Simple

Total no of marbles = 6 + 4 + 8 = 18

Probability of red marble = 6 / 18 = 1/ 3