Alex is planning to have a snack during his break from class. He needs to eat 8 grams of fiber and 12 grams of protein. In the vending machine, he finds three types of packaged snacks: crackers that have 1 g of fiber and 2 g of protein, cookies that have 1 g of fiber and 1 g of protein, and nuts that have 3 g of fiber and 4 g of protein. How many packages of each snack can he eat to obtain his goal?

Answer: Equation to describe this situation.

[tex]3s=6300[/tex]

Number of steps in one mile for Gustave =2100

Step-by-step explanation:

Given : Gustave measured his pace and determined that for him, s steps make up one mile.

1 mile = s steps  (1)

One day Gustave walked 6300 steps, which was 3 miles.

i.e. 3 miles = 6300 steps (2)

Using (2), the number f steps in 3 steps will be :_

3 miles = 3s steps                (3)

From (2) and (3), we have

[tex]3s=6300[/tex]

Dividing both sides by 3 , we get

[tex]s=\dfrac{6300}{3}=2100[/tex]

Hence, the number of steps in one mile for Gustave =2100

Gustave takes 189 steps to walk one mile. We derived this by dividing the total steps, 63,000, by the distance in miles, 333. The equation used was 63000 = s * 333.

To determine how many steps are in one mile for Gustave, we start with the information provided:

Step 1: Write the Equation

We can write the equation as:

63000 = s * 333

Step 2: Solve for s

To find out how many steps make up one mile, we solve for s by dividing both sides of the equation by 333:

s = 63000 / 333

Step 3: Calculate the Value

When we divide 63,000 by 333, we get:

s = 189

This means that Gustave takes 189 steps to walk one mile.

Example Calculation

Since 63,000 steps equal 333 miles, and dividing both 63,000 steps by 333 miles gives us the number of steps per mile:

189 steps per mile.

In conclusion, Gustave takes 189 steps to walk one mile. This equation and process help us determine the number of steps per mile based on the given total steps and distance covered.

Answer:

Step-by-step explanation:

88

The distance between the lions and the monkeys is 88 feet

To determine the distance between the lions and the monkeys, we make use of the following equivalent ratio

x : 132 = 80 : 120

Express as fraction

[tex]\frac{x}{132} = \frac{80}{120}[/tex]

Solve for x

[tex]x = \frac{80}{120} * 132[/tex]

Multiply

[tex]x = 88[/tex]

Hence, the distance between the lions and the monkeys is 88 feet

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Answer:

Step-by-step explanation:

< 1 = 110

< 2 = 180 - 110 = 70

<5 = 180 - 110 = 70

<6 = <1 = 110

==================

<9 = 103

<13 = 180 - 103 = 77

<10 = <13 = 77

<14 = <9 - 103

====================

<2 = < 4 = 70                     Property of l || m

<3 = <1  = 110                     Same as above

<7 = <5 = 70                      Same as above and vertical angles.

<6 = <8 = 110                     Same as above

=====================

<11 = < 9 = 103                   Parallel line property

<15 = <13 =  77                   Same as above

<12 = <10 =  77                   Same as above

<16 = <15  = 103                 Parallel line property.

$0.79

Just divide 9.48 by 12.

Answer:

D. 24+-0.114

Step-by-step explanation:

The question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle given the following statistics;

Sample mean = 24

standard deviation, σ = 0.4

Sample size , n = 49

The confidence interval for a population mean is calculated using the formula;

Sample mean ± z-score*(σ/sqrt(n))

The z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

Substituting these values into the formula;

24 ± 1.96*[tex]\frac{0.4}{\sqrt{49} }[/tex]

= 24 ± 0.112

From the choices given, choice D is closest to the above expression;

Answer:

1/2

Step-by-step explanation:

Final answer:

The exact value of sin 30 degrees is 0.5, and this is derived from the special 30-60-90 triangle.

Explanation:

The value of sin 30 degrees is 0.5.

This can be determined using the unit circle or by using the trigonometric function of 30 degrees.

When we evaluate sin 30 degrees, we can look at the special right triangle with angles 30-60-90 where the ratio of the opposite to the hypotenuse in a 30-degree angle is 1/2. In this triangle, the side opposite to the 30-degree angle is half the length of the hypotenuse. Therefore, sin 30 degrees is equal to 1/2 or 0.5.

The answer should be 1.32

First you should multiply 20 yards by .99

Then you should get that number and divide it by 15 people

Answer:

$1.32 per person

Step-by-step explanation:

First you multiply the cost of the fabric with the amount of yards to know how much the total fabric will cost:

0.99·20=19.80

Then you divide the total cost of the fabric with the amount of people there are:

19.80÷15= $1.32

Answer:

Answer B:  (-9, -12)

Step-by-step explanation:

I like to approach this problem by finding the halfway points in the x-direction and the y-direction, separately.

x-direction:  find the average of -3 and -15, which is -18/2, or -9.  The x-coordinate of the midpoint is therefore -9.

y- direction:  find the average of -4 and -20, which is -12.

Thus, the midpoint is located at (-9, -12)   (Answer B)

Answer:

look at graph attached

Step-by-step explanation:

it is moved 4 down from the parent function

The given quadratic equation 2x² + 8x - 1 = 0 can be rearranged as (x + 2)² = 4.5 through the method of completing the square. Taking the square root of both sides gives two solutions for x: x = -2 + √4.5 and x = -2 - √4.5, when rounded to two decimal places.

To solve the equation 2x² + 8x - 1 = 0 by "completing the square", we first divide everything by the coefficient of x², in this case 2, to make the equation look like x² + 4x - 0.5 = 0. The coefficient of x now becomes 4.

We then take half of this coefficient, square it and add it to both sides of the equation. Half of 4 is 2, and squaring it gives us 4. So the equation now reads as x² + 4x + 4 = 4 + 0.5 which simplifies to x² + 4x + 4 = 4.5.

This equation can be further simplified by realizing that (x + 2)² = x² + 4x + 4, thus we have (x + 2)² = 4.5. Taking the square root of both sides finally gives us x = -2 ± √4.5, giving us two solutions for x to two decimal places, that are x = -2 + √4.5, and x = -2 - √4.5.

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To solve the equation by completing the square, divide by the leading coefficient, move the constant term to the other side, complete the square, take the square root of both sides, and then solve for x, yielding two solutions: approximately -0.12 and -3.88.

To solve the equation 2x²+8x-1=0 by completing the square, follow these steps:

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The data set is likely to be Normally distributed is given as:

Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

As per the definition,

The Data that is significantly concentrated around the mean, with progressively fewer data points for values far away from the mean in both directions, is likely to be normally distributed.

and,  Insufficient Data can cause a normal distribution to look completely scattered.

So, The first statement is comes under normal distribution.

The second statement does not comes under normal distribution.

The third statement does not comes under normal distribution.

The fourth statement is comes under normal distribution.

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The answers for the statements to check whether normally distributed or not are 1.Yes,2.No,3.No,4.Yes

The answer is:

There will be 15 graders attending the virtual field trip.

We know that there are 60 sixth graders taking an online math classes but only 25% are planning to attend the virtual field trip, so,  if we want to calculate how many sixth graders will be attending the virtual field trip, we need to calculate the 25% of the total sixth graders

Before solving, we need to convert the given percent number (25%) to a real number by dividing it by 100, so, solving we have:

[tex]\frac{25(percent)}{100}=0.25[/tex]

Now, calculating how many graders are 25% of the total graders, we have:

[tex]GradersAttending=TotalGraders*PercentOfGradersAttendingTheVirtualTrip[/tex]

[tex]GradersAttending=60graders*0.25=15graders[/tex]

So, we have that there will be 15 graders attending the virtual field trip.

Have a nice day!

Answer:

15

Step-by-step explanation:

To get 25% of 60, you need to divide 25 by 10, your answer should be 0.25, next, you multiply 0.25 by 60, the answer if 15, another way, is by multiplying 15 by 4, that would make 60. (Have a great day, hope this helps, please mark me brainliest if it does help, sorry for answering really late)

Answer:

The surface area is divided by 4.

Step-by-step explanation:

Surface area of a sphere is 4πr².

When the diameter is 28 the radius is 14. So: 4π(14)² = 784π

If you cut the diameter in half you get 14. The radius is now 7.

4π(7)² = 196π.

784/4 = 196 so divided by 4.

Answer:

  {0, 1, 2, 4, 5, 6, 8}

Step-by-step explanation:

120/230 = 12/23

121/231 = 11/21

122/232 = 61/116

123/233 -- not reducible

124/234 = 62/117

125/235 = 25/47

126/236 = 63/118

127/237 -- not reducible

128/238 = 64/119

129/239 -- not reducible

___

All even digits will make the fraction reducible, as will the digit 5. Then the digits we're not sure of are 1, 3, 7, 9. Appending 1 to the given numbers makes them divisible by 11, so that digit is included in our list.

Ending digits 3, 7, 9 result in fractions that are not reducible. (Numbers 127, 233, and 239 are prime numbers.)

Answer:

0,1,2,4,5,6,8

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

To find the inverse, let y = f(x) then rearrange making x the subject, that is

y = 5(x + 3)³ - 2 ( add 2 to both sides )

y + 2 = 5(x + 3)³ ( divide both sides by 5 )

(x + 3)³ = [tex]\frac{y+2}{5}[/tex]

Take the cube root of both sides

x + 3 = [tex]\sqrt[3]{\frac{y+2}{5} }[/tex]

Subtract 3 from both sides

x = [tex]\sqrt[3]{\frac{y+2}{5} }[/tex] - 3

Change y back into terms of x, so

[tex]f^{-1}[/tex] (x ) = [tex]\sqrt[3]{\frac{x+2}{5} }[/tex] - 3 → C

Answer:

Set A is a subset of set B. It means that every element of set A should be present in set B.

Step-by-step explanation:

A ⊆ B

Set A is a subset of set B. It means that every element of set A should be present in set B.

i.e for all a ∈ A then a ∈ B

Example:

Let set A = {1,2,3}

and B = { 1,2,3,4,5,6}

then A ⊆ B because every element in set A {1,2,3} is also present in set B {1,2,3,4,5,6}

Answer:

2+11+16=11+16+2

Step-by-step explanation:

According to the commutative law of addition,

(A+B)+C=(C+B)+A

i.e.A+B+C=C+B+A

Answer:

A

Step-by-step explanation:

Answer:

slope = - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, - 3) ← 2 points on the line

m = [tex]\frac{-3-0}{0+1}[/tex] = [tex]\frac{-3}{1}[/tex] = - 3

Here it is described. Its really easy.

Answer:

  they are complementary

Step-by-step explanation:

The sum of angles in a triangle is 180°. When one of those angles is a right angle (90°), the sum of the other two must be 90°. When the sum of two angles is 90°, they are said to be complementary angles.

Answer:

D

Step-by-step explanation:

because you need to times the indice 2 by the 3

Shown below

What if you rotate a plane figure around a straight line called the axis? Well, in doing so, you will get what in mathematics is called a solid of revolution, which is a solid figure. In this case, we have a triangle with a side matching the axis and this side. The solid that result when rotating that triangle is a cone. The side that matches the axis is the height of the cone while the side perpendicular to the axis is the radius of the base of the cone. The rotation is performed by the hypotenuse of the triangle (a straight line) through the origin and by an angle of 360 degrees.

Answer:

270 downloads

Step-by-step explanation:

Call x the number of times the standard quality version was downloaded and call y the number of times the high quality version was downloaded.

So, we know that

[tex]2.5x + 4.4y = 5427[/tex] MB     (1)

We also know that the high-quality version was downloaded four times as often as the standard version.

So

[tex]y = 4x[/tex]        (2)

We substitute equation (2) in equation (1) and solve for x.

[tex]2.5x + 4.4 (4x) = 5427\\\\2.5x +17.6x = 5427\\\\20.1x=5427\\[/tex]

[tex]x = 270\ downloads[/tex]

given,

[tex] \frac{ {y}^{3} - {y}^{2} + y + 3}{y + 1} \\ = \frac{ {y}^{3} + {y}^{2} - 2 {y}^{2} - 2y + 3y + 3}{x + 1} \\ = \frac{{y}^{2} (y + 1) - 2y(y + 1) + 3(y + 1)}{(y + 1)} \\ = \frac{(y + 1)( {y}^{2} - 2y + 3) }{(y + 1)} \\ = {y}^{2} - 2y + 3[/tex]

Final answer:

The polynomial y^3 - y^2 + y + 3 divided by y + 1 results in a quotient of y^2 - y + 2, with a remainder of 1. The complete division statement is (y^3 - y^2 + y + 3) / (y + 1) = y^2 - y + 2 + 1/(y + 1).

Explanation:

To divide the polynomial y^3 - y^2 + y + 3 by y + 1, we use polynomial long division. First, divide y^3 by y to get y^2, subtract the result from the polynomial, and bring down the next term. Repeating this process gives us the following steps:

Divide y^3 by y to get y^2. Multiply y + 1 by y^2 and subtract from the original polynomial.

Bring down the next term, which is y, and divide -1 by y to get -1. Multiply y + 1 by -1 and subtract from the result of the first step.

Bring down the last term, which is 3, and divide 2 by y to get 2. Multiply y + 1 by 2 and subtract to get the remainder.

The final quotient of this division is y^2 - y + 2, and the remainder is 1.

The result of the division is y^2 - y + 2 with a remainder of 1. To express this as a complete division statement, we write:

(y^3 - y^2 + y + 3) ÷ (y + 1) = y^2 - y + 2 + 1/(y + 1)

Answer:

Your answer will be 30

Step-by-step explanation:

Answer:

x^2+2x+5

Step-by-step explanation:

Can't really explain on a computer, but if you want to know how to do it look at www.emathhelp.net

Answer: Random samples

Step-by-step explanation: Jorge could ask how many hours people spend on the internet each day and then multiply that number by 7 for each person.

The best method for Jorge to collect data about 8th graders' internet usage is to conduct a survey.

Design the Survey: Create a set of questions focused on the amount of time spent on the internet. For example, 'How many hours per day do you spend on the internet?'etc

Distribution: Distribute the survey to the target group, either through paper forms during school hours or digitally through email or school platforms.

Data Collection: Collect the responses. Ensure that anonymity is maintained to get honest answers.

Analysis: Compile the data and calculate the average time spent online by 8th graders. Use graphical representations like bar charts or pie charts to visualize the data.

Presentation: Present the findings in a written report or a digital presentation, detailing the average time spent and highlighting any noticeable trends or patterns.

By conducting a survey, Jorge can efficiently gather accurate and representative data about the internet usage habits of 8th graders.

Answer:

Option c) The scale on the y-axis misrepresents the difference in the heights of the bars.

Step-by-step explanation:

Given is a histogram that shows the number of properties in a town that are sold within certain periods.

On x axis is given number of days to sell and on y axis the number of properties

X axis is given in interval form with interval width 30 and on y axis scales are marked as 0,1,2....12,13 etc

The mistake is on y axis after 0, 10 is marked with unit distance from 0 but from 10 to 11 also distance is shown as 1 unit.

Hence correct option is

Option c) The scale on the y-axis misrepresents the difference in the heights of the bars.

Answer:

C

Step-by-step explanation:

E2020

Answer: y = sqrt x

Explanation:

In order to draw the graph of this function you will need to identify some of the values.

If x=0, then y = sqrt 0.

If x=1, then y = sqrt 1.

If x=2, then y = sqrt 2.

(This repeats.. you get the idea)

Plot these points and draw a curve through them. Your answer should look just like the graph in your question.

x = [5]

y = [2]

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Answer x = ?

y = 0

Have good day