Hannah wants to buy cupcakes and cookies for her friends with a budget of $35. Cupcakes are $6
and cookies are $1.

1. What is the maximum amount of
cupcakes she can buy?

2. if she buys the maxium amount of cupcakes, how many cookies will she be able to buy?

Answer:

18

Step-by-step explanation:

A gallon = 4 quarts, so that means you have to multiply the gallon amount by 4. Let's break up the number; 4 * 4 = 16, 1/2 * 4 = 2. Add them together, 16 + 2 = 18. Your answer is 18.

Step-by-step explanation:

$9 because 1 third of 3 third would be $3

Answer:

Examining whole-body center of mass (COM) motion is one of method being used to quantify dynamic balance and energy during gait. One common method for estimating the COM position is to apply an anthropometric model to a marker set and calculate the weighted sum from known segmental COM positions. Several anthropometric models are available to perform such a calculation. However, to date there has been no study of how the anthropometric model affects whole-body COM calculations during gait. This information is pertinent to researchers because the choice of anthropometric model may influence gait research findings and currently the trend is to consistently use a single model. In this study we analyzed a single stride of gait data from 103 young adult participants. We compared the whole-body COM motion calculated from 4 different anthropometric models (Plagenhoef et al., 1983; Winter, 1990; de Leva, 1996; Pavol et al., 2002). We found that anterior-posterior motion calculations are relatively unaffected by the anthropometric model. However, medial-lateral and vertical motions are significantly affected by the use of different anthropometric models. Our findings suggest that the researcher carefully choose an anthropometric model to fit their study populations when interested in medial-lateral or vertical motions of the COM. Our data can provide researchers a priori information on the model determination depending on the particular variable and how conservative they may want to be with COM comparisons between groups. Copyright © 2017 Elsevier Ltd. All rights reserved.

Step-by-step explanation:

The 9/32 of whole pizza Troy had for breakfast. The whole bag of coffee weighs 10/7 pounds

A fraction is defined as a part of a whole quantity.

1. Leftover pizza = 3/8

Pizza used as breakfast = 3/4 of left-over pizza

= 3/4 of 3/8

The of is calculated by the use of multiplication

The fractions are multiplied as follows:

Pizza used as breakfast = 3/4 * 3/8

= 3 * 3 / 4 * 8

= 9/32

2. 3/5 of bag of coffee weighs = 6/7 pounds

1 bag of coffee weighs = 6/7 ÷ 3/5

The fractions are divided as follows:

Thus, = 6/7 * 5/3

= 6 * 5 / 7 * 3

= 30/21

= 10/7 pounds

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Present age of father is 48 years and that of son is 23 years.

Let the age of father be x years

And the son's age be y years

According to the question,

x - y = 25 -----------1

15 Years ago, x= 6( y - 15 )

x= 6y - 90 -------------2

Substituting value of x from equation 2 in equation 1, we get

6y - 90 - y = 25

5y -90 = 25

5y = 25+90

5y= 115

y= 23

Therefore son's age is 23 years and from equation 1 we get x= 25+y = 25+23 = 48 years. So father's age is 48 years.

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The magnitude of a vector a is the length of the vector.

We write it ||a||

We can draw a right triangle and apply the pythagoras theorem. The magnitude of a will be the hypotenuse :

||a||² = 3² + 3²

||a||² = 9 + 9

||a||² = 18

||a|| = √18 = √(9*2) = 3√2 ≈ 4.24

So the answeer is 4.24

Good Luck

Answer:

To find the volume of the shipping box in cubic feet, we need to convert the dimensions from inches to feet and then calculate the volume.

Given:

Length = 36 inches

Width = 24 inches

Height = 18 inches

Converting the dimensions to feet:

Length = 36 inches / 12 inches/foot = 3 feet

Width = 24 inches / 12 inches/foot = 2 feet

Height = 18 inches / 12 inches/foot = 1.5 feet

Now, we can calculate the volume of the box by multiplying the length, width, and height:

Volume = Length * Width * Height

Volume = 3 feet * 2 feet * 1.5 feet

Volume = 9 cubic feet

Therefore, the shipping box can hold 9 cubic feet.

Step-by-step explanation:

First convert the units because it's asking for the cubic feet but they give us the measurements in inches.

To convert inches to feet we divide the number by 12.

36 ÷  12 = 3

24 ÷  12 = 2

18 ÷ 12 = 1.5

Now to find the volume, we multiply it all together.

3 × 2 × 1.5 = 9

It can hold 9 cubic feet.

Hope this helped!

Answer:

uy r5tj

Step-by-step explanation:

The inverse of the function → f(x) = 2x + 5  is → f⁻¹(x) = (x/2) - (5/2).

Inverse of a function can be calculated by following the steps mentioned below -

According to the question, the equation given is as follows

y = f(x) = 2x + 5

y = 2x + 5

Replace 'y' with 'x', we get -

x = 2y + 5

Now, solve for y -

2y = x - 5

y = (x/2) - (5/2)

Replace 'y' with f⁻¹(x) -

f⁻¹(x) = (x/2) - (5/2)

Hence, the inverse of the function → f(x) = 2x + 5  is → f⁻¹(x) = (x/2) - (5/2).

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A loss of biodiversity due to human activity.

Answer:

C. A loss of biodiversity due to human activity

Step-by-step explanation:

Answer:4 times 5

Step-by-step explanation:

Answer:

.........................

Step-by-step explanation:

Answer+Step-by-step explanation:

\(\frac{1}{5} \left( 4m+20\right) =\frac{4}{5}m + \frac{20}{5} = \frac{4}{5}m + 4\)

\(9\left( \frac{5}{4} y-\frac{1}{3} \right) =\frac{9\times5}{9} y-\frac{9}{3} = 5y - 3\)

Saya yakin jawabannya adalah -26 karena ketika Anda melakukan perkalian terlebih dahulu, kemudian lakukan pecahan 33 1/2 dan setelah itu Anda akan menambahkan 2 dan pengurangan 5,5 yang semuanya akan sama dengan -26. semoga saya benar dan ini membantu. (:

Answer:

I think it might be D

Step-by-step explanation:

Answer:

Regina read for 2 1/4 hours or 2 hours and 15 minutes

Step-by-step explanation:

Answer:

It's not evaluated correctly

Step-by-step explanation:

in the problem 6 × 5 + 30 ÷ 30 we first need to multiply 6 and 5 then divide the 30 by 10 and finally add them up

6×5 = 30

30 ÷ 10 = 3

30 + 3 = 33

The curved surface area of the cylinder is 48.06 cm².

The circumference of a cylinder is given by the formula:

C = 2πr

where C is the circumference and r is the radius of the base.

In this case, the given circumference is 6 cm.

So, 6 = 2πr

r = 6 / (2π)

r ≈ 0.955 cm

Now, the curved surface area (CSA) of the cylinder using the formula:

CSA = 2πrh

Given the height as 8 cm, we can substitute the values into the formula:

CSA = 2π(0.955 cm)(8 cm)

CSA ≈ 48.06 cm²

Therefore, the curved surface area of the cylinder is 48.06 cm².

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Answer:

37.5

Step-by-step explanation:

To convert Ram's score from a maximum of 100 marks to a maximum of 75 marks, we can use the following proportion:

100 marks = 75 marks

50 marks = x

We can solve for x by cross-multiplication:

100x = 50*75

x = 50*75/100

x = 37.5

Therefore, Ram's score in a maximum of 75 marks will be 37.5 marks.

Answer:

y<3

Step-by-step explanation:

Let's solve your inequality step-by-step.

5y+9<24

Step 1: Subtract 9 from both sides.

5y+9−9<24−9

5y<15

Step 2: Divide both sides by 5.

5y/5 < 15/5

y<3

Answer:

68 inches^2

Step-by-step explanation:

The shape is a rhombus

A rhombus is a four sides quadrilateral with the four sides equal in length

The area of a rhombus =  \(\frac{1}{2}pq\)

where p and q are the two diagonals

1/2 x (8 x 17) = 68 in²

Answer:

a) 0.6730 = 67.30% probability that no samples are mutated.

b) 0.9436 = 94.36% probability that at most one sample is mutated.

c) 0% probability that more than half the samples are mutated.

Step-by-step explanation:

For each sample, there are only two possible outcomes. Either it is mutated, or it is not. The probability of a sample being mutated is independent of any other sample, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

Samples of rejuvenated mitochondria are mutated (defective) in 3% of cases.

This means that \(p = 0.03\)

13 samples are studied

This means that \(n = 13\)

(a) No samples are mutated.

This is P(X = 0). So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{13,0}.(0.03)^{0}.(0.97)^{13} = 0.6730\)

0.6730 = 67.30% probability that no samples are mutated.

(b) At most one sample is mutated.

This is:

\(P(X \leq 1) = P(X = 0) + P(X = 1)\)

So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{13,0}.(0.03)^{0}.(0.97)^{13} = 0.6730\)

\(P(X = 1) = C_{13,1}.(0.03)^{1}.(0.97)^{12} = 0.2706\)

Then

\(P(X \leq 1) = P(X = 0) + P(X = 1) = 0.6730 + 0.2706 = 0.9436\)

0.9436 = 94.36% probability that at most one sample is mutated.

(c) More than half the samples are mutated.

This is:

\(P(X > 6.5) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13)\)

Then

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 7) = C_{13,7}.(0.03)^{7}.(0.97)^{6} \approx 0\)

Using two decimal digits precision, all will be 0. So

0% probability that more than half the samples are mutated.

Answer:

1). y= -4+ 4x

2). y= 3+ x/2

Step-by-step explanation:

hope this helps !

Answer:

4

Step-by-step explanation:

The pillars and the pyramids in the stadium gate means that we have to calculate the area of the items that make up the gate one after the other. At the end of the calculation, the calculated areas are then added up.

The total cost of painting is Rs.21344

First, we calculate the area of 1 side of 1 pillar using:

\(A = Height * Base\)

Where

\(Height = 10ft\) --- Height of the pillar

\(Base = 3ft\) --- Base of the pillar

So:

\(A = 10ft * 3ft\)

\(A = 30ft^2\)

The area of the 4 sides of the pillar is:

\(A_2 = 4 * A\) --- i.e. 4 multiplied by the area of 1 side

\(A_2 = 4 * 30ft^2\)

\(A_2 = 120ft^2\)

The area of the 2 pillars is:

\(Area_1 = 2 * A_2\) --- i.e. 2 multiplied by the area of 1

\(Area_1 = 2 * 120ft^2\)

\(Area_1 = 240ft^2\)

Because one part of the pyramid won't be visible, we calculate the area of the pyramid using:

\(Area = lw + l\sqrt{(w/2)^2 + h^2} + w\sqrt{(l/2)^2 + h^2}\)

Where:

\(h = 2\) -- the height

\(l = w = 3\) --- the base of the pillar is the length & width of the pyramid.

So, we have:

\(Area = 3\sqrt{(2/2)^2 + 2^2} + 3\sqrt{(2/2)^2 + 2^2}\)

\(Area = 3\sqrt{1 + 4} + 3\sqrt{1 + 4}\)

\(Area = 3\sqrt{5} + 3\sqrt{5}\)

\(Area = 6\sqrt{5}\)

For the two pyramids, the area is:

\(Area_2 = 2 * 6\sqrt 5\) -- 2 multiplied by area of 1

\(Area_2 = 12\sqrt 5\)

\(Area_2 = 26.8\)

So, the total area to be painted is:

\(Total = Area_1 + Area_2\) --- the sum of the area of the pillars and the pyramids

\(Total = 240+26.8\)

\(Total = 266.8ft^2\)

The unit cost of paint is:

Rate = Rs80 per sq.ft

The total cost of painting is:

\(Cost = 80 * 266.8\)

\(Cost = Rs.21344\)

Hence, the total cost of painting is Rs.21344.

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The answer to the question is B. \(y=4x\)

\(4(2)=8\\4(3)=12\\4(4)=16\\4(5)=20\)