Question content area top
Part 1
A box of cereal states that there are calories in a
​-cup serving. What is the unit rate for calories per​ cup? How many calories are there in of the​ cereal?

Answers

Answer 1

The unit rate for calories per cup is 100 calories per cup.

There is 400 calories in 4 cup of cereal.

Given,

The amount of calories in 3/4 of the cup = 75 calories

We have to find the unit rate of calories per cup.

That is,

Unit rate of calories = 75 / (3/4)

Unit rate of calories = 75 × (4/3)

Unit rate of calories = 25 × 4

Unit rate of calories = 100

There are 100 calories in a cup of cereals.

Now,

We have to find the calories in 4 cup of cereals.

Calories in 4 cup = Calories in one cup × 4

Calories in 4 cup = 100 × 4

Calories in 4 cup = 400

So,

There are 400 calories in 4 cup of cereals.

Learn more about calories here:

https://brainly.com/question/147894

#SPJ1


Related Questions

Write the rule for the table, use z for the input.Input-1Output7012co woo WN3.4F(0)

Answers

Lets assume that the input values are x values and the output values are y values.

Then you will have pairs of coordinate values as shown;

(-1,7) , (0,2) , (1,-3) , (2,-8), (3,-13), (4,-18)

Using the coordinates find the slope a;

(-1,7) and (0,2) ---------slope is change in y-values/ change in x-values , (2-7) /(0--1)

= -5/ 1 = -5

Do the same for the next pair of coordinates ,(0,2) and (1,-3) , (-3-2) / (1-0) = -5/1 = -5

If you continue the procedure to the next pair which is (1,-3) and (2,-8) to get the slope as : (-8- -3) / (2-1) = -5/1 = -5

This means that the slope is -5

The relation will be represented by the equation y= mx + c where m is the slope and c is the y-intercept

First plot the points to visualize the graph

From the plot, you notice that when the points are joined, a straight graph is formed sloping to the negative side and intersecting the y-axis at point (0,2).

So to determine the rule, we apply the equation y= mx + c with m= -5 and c =2

This gives y= -5 x + 2

The rule is f(x) = -5x +2 -----------answer

The population of a small town in central Florida has shown a linear decline in the years 1995-2005. In 1995 the population was 24100 people. In 2005 it was 14800 people.

Answers

Part A:

Since the population is showing a linear decline, we can express the function P(t) as

[tex]\begin{gathered} y=mx+b \\ \text{where} \\ m\text{ is the slope} \\ b\text{ is the y-intercept} \end{gathered}[/tex]

Given two points

(1995,24100), and (2005,14800)

[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \text{IF }\mleft(x_1,y_1\mright)=\mleft(1995,24100\mright),\text{ and }(x_2,y_2)=\mleft(2005,14800\mright),\text{ THEN} \\ \\ m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{14800-24100}{2005-1995} \\ m=\frac{-9300}{10} \\ m=-930 \end{gathered}[/tex]

Now that we have solved for the slope, we can now solve for the y-intercept. We will use the point (2005,14800), but using (1995,24100) will work just as well.

[tex]\begin{gathered} \text{IF }m=-930,\text{ and }(x,y)=\mleft(2005,14800\mright),\text{ THEN} \\ \\ y=mx+b \\ 14800=(-930)(2005)+b \\ 14800=-1864650+b \\ 14800+1864650=+b \\ 1879450=b \\ b=1879450 \end{gathered}[/tex]

Convert the function x into a function of time t, then the the function is

[tex]P(t)=-930t+1879450[/tex]

Part 2:

What will be the population in 2007.

Substitute t = 2007.

[tex]\begin{gathered} P(t)=-930t+1879450 \\ P(2007)=-930(2007)+1879450 \\ P(2007)=-1866510+1879450 \\ P(2007)=12940 \end{gathered}[/tex]

Therefore, in the year 2007, the population will be 12940.

Find the volume and surface area of a right cone with a radius of 4 inches and a height of 7 inches

Answers

Volume of a cone =

[tex]v=\frac{1}{3}\pi r^2h[/tex]

From the question;

r= 4 h=7

π is a constant and it is equal to 22/7

substitute the values into the formula;

[tex]V=\frac{1}{3}\times\frac{22}{7}\times4^2\times7[/tex][tex]V=\text{ }\frac{2464}{21}[/tex]

[tex]V=117.33inch^3[/tex]

The volume of this rectangular prism is 9.044 cubic feet. What is the value of t?

Answers

The volume of a rectangular prism can be calculated with the following formula:

[tex]V=lwh[/tex]

Where "l" is the length, "w" is the width and "h" is the height.

In this case, you can set up that:

[tex]undefined[/tex]

Please help withstandard deviation with measurements

Answers

Answer: Standard Deviation, σ: 0.23979157616564

Count, N: 8

Sum, Σx: 33.6

Mean, μ: 4.2

Variance, σ2:  0.0575

Steps

σ2 =  

Σ(xi - μ)2

N

=  

(4.5 - 4.2)2 + ... + (4.1 - 4.2)2

8

=  

0.46

8

=  0.0575

σ =  √0.0575

=  0.23979157616564

Step-by-step explanation: but here

it isnt letting me do the fraction or the other things so yeah it will look wrong but its write for the entire graph

Which is the area of the circle shown? Use 3.14 for π.

1. 18.84 m^2
2. 37.68 m^2
3. 113.04 m^2
4. 354.95 m^2

Answers

Answer:

3: 113.04 m^2

Step-by-step explanation:

pi r^2

3.14 x 36

= 113.04 m^2

:]

The measures of the angles of a triangle are shown in the figure below. Solve for x.
34°
46°

Answers

The measures of the angle x in the triangle is 100 degrees

How to determine the measures of the angle?

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

Angles = 34, 46 and x

The sum of angles in a triangle add up to 180 degrees

This is represented as

Sum of angles = 180

Substitute the known values in the above equation

So, we have

34 + 46 + x = 180

Evaluate the like terms in the above equation

So, we have

80 + x = 180

Evaluate the like terms in the above equation

So, we have

x = 100

Hence, the value of x is 100

Read more about triangles at

https://brainly.com/question/14285697

#SPJ1

A tailor has 20 yards of shirt fabric. How many shirts can she
complete if each shirt requires 2% yards of fabric?

Answers

Answer:

2%/100% ×20=

Step-by-step explanation:

from this one of the zeros from the hundred would cancel the zero from 20 which will give you 2/10×2 and mind you percentage cancel percentage. from this 2 will cancel 10 leaving the answer 2 over 5

the mass of a car is 1990kg rounded to the nearest kilogram. the mass of a person is 58.7kg rounded to one decimal place. write the error interval for the combined mass, m, of the car and the person in the form _______

Answers

The error interval for the combined mass (m) of the car and the person is 2047.7 ≤ m < 2049.7

What is an inequality?

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments (symbols):

Greater than (>).Less than (<).Greater than or equal to (≥).Less than or equal to (≤).

The error interval for the mass of car is given by:

Mass of car = 1990 ± 0.5;

Mass of car = 1990 + 0.5 = 1990.5

Mass of car = 1990 - 0.5 = 1989.5

The error interval for the mass of a person is given by:

b = 1990 ± 0.5;

b = 58.7 + 0.5 = 59.2

b = 58.7 - 0.5 = 58.2

For the value of a and b, we have:

a = 1989.5 + 58.2 = 2047.7

b = 1990.5 + 59.2 = 2049.7

Next, we would calculate the combined mass (m):

m = 1990 + 58.7

m = 2048.7

Now, we can write the error interval for the combined mass (m) of the car and the person as follows:

a ≤ m < b

2047.7 ≤ m < 2049.7

Read more on error interval here: https://brainly.com/question/28791883

#SPJ1

Eric and Nancy both had a successful year selling fish tanks for theirrespective employers, and so they were both given raises.Eric: Eric's base salary is still $1400, but now he makes a commission of$100 for each fish tank that he sells.Nancy: Nancy now gets a base salary of $500 per month, but her commissionhas stayed the same at $250 per fish tank.Eric and Nancy still want to make sure that they contribute the same amountto their total monthly income, and Nancy proposes using algebra to figureout how many fish tanks that they would each need to sell. She tells Ericthat he can calculate his monthly income by using the formula f(x) = 100x +1400. She says that she can calculate her own salary by using the functiong(x)=250x + 500.1 What does the variable x represent in Nancy's formulas?How do you know?

Answers

Answer:

The variable x represents the number of fish tanks he/she sells.

Explanation:

Given that Eric's base salary is still $1400, but now he makes a commission of

$100 for each fish tank that he sells and Nancy now gets a base salary of $500 per month, but her commission has stayed the same at $250 per fish tank.

Eric's total income would be;

$1400 plus $100 times the number of fish tanks he sells.

[tex]f(x)=1400+100x[/tex]

and Nancy's total income would be;

$500 plus $250 times the number of fish tanks she sells.

[tex]f(x)=500+250x[/tex]

Therefore, the variable x represents the number of fish tanks he/she sells.

The number of fish tanks each of them sells will determine the total commission and also determines their total income.

Select the two values of x that are roots of this equation.
x2 + 3x – 5 = 0

Answers

The two values for the quadratic equation [tex]x^{2} +3x-5=0[/tex] is [tex]\frac{-3+\sqrt{29} }{2}[/tex] and [tex]\frac{-3-\sqrt{29} }{2}[/tex]

What is quadratic equation?

Quadratic equation is a second-order equation written as ax2 + bx + c = 0 where a, b, and c are coefficients of real numbers and a ≠ 0.

The solution of the x = [-b±√(b2-4ac)]/2a

where b= 3 a= 1 and c = -5.

x = -3±[tex]\sqrt{3^{2}-4(1)(-5) } /2[/tex]

x=[tex]\frac{-3-\sqrt{29} }{2}[/tex]

and x = [tex]\frac{-3+\sqrt{29} }{2}[/tex]

To know more about quadratic equation, visit:

https://brainly.com/question/27926267

#SPJ9

Determine weather the sequence 6,12,24,48 could be an an arithmetic sequence.

Answers

Answer:

The sequence cannot be arithmetic.

Explanation:

Given the sequence: 6,12,24,48

We want to determine if the sequence is arithmetic.

An arithmetic sequence is a sequence made in which the next term is obtained by the addition of a constant term called the common difference.

In the given sequence:

[tex]\begin{gathered} 12-6=6 \\ 24-12=12 \\ 48-24=24 \end{gathered}[/tex]

The difference between the terms is not constant.

Therefore, the sequence cannot be arithmetic.

how do you write 4.501795324E^-6 in simpler form

Answers

The number written in scientific notation is 1.12 × 10⁻² .

Scientific notation can be used to describe values that are either too large or too little to be conveniently presented in decimal form (typically would result in a long string of digits).

In the UK, it is also known as standard form, scientific form, and standard index form.Since it may make a number of mathematical operations simpler, this base ten notation is frequently employed by scientists, mathematicians, and engineers.Scientific notation for non-zero integers is written as m × 10ⁿ, or m times ten and raised to the power of n, where n is an integer and m is a non-zero real number.

The given number is 4.501795324E⁻⁶

So simplifying we get :

4.501795324E⁻⁶  =  1.11588350 × 10⁻²

Therefore the number written in scientific notation is 1.12 × 10⁻² .

To learn more about scientific notation visit:

brainly.com/question/18073768

#SPJ1

Kelly downloaded 195 pictures from her cell phone to her computer. These pictures took up 585 megabytes of space on her computer. Each picture took up the same amount of space. How many megabytes do 39 of these pictures take?

Answers

The amount of space taken by 39 of these pictures is 117 megabytes.

What is the unitary method?

The unitary approach is a problem-solving process that begins by identifying the value of a single unit and then multiplying that value by the needed value.

Given:

Number of pictures downloaded by Kelly from her cell phone to her computer = 195

Amount of space taken by the pictures = 585 megabytes

Now, an equal amount of space is taken by each picture.

To determine, the megabytes taken by 39 of these pictures.

By the unitary method,

195 pictures = 585 megabytes

39 pictures = ? megabytes

Divide 585 megabytes by the number of pictures 195 and then multiply it by 39.

= (585/195) × 39

= 117 megabytes

To learn more about the unitary method visit:

https://brainly.com/question/10091411

#SPJ10

Jay's family is moving to a new home they packed 22 boxes in 1 5/6 hours what is the average number of boxes they packed per hour Pls asap

Answers

Just decide the no. Of boxes by the no of hrs taken
=> 22/(11/6) => 12 boxes per hr

9 is subtracted from the square of a number

Answers

X^2-9 hope this helps!!


Determine the average rate of change of f(x) = 4x²+x+3 over the interval [-2, 2].

Answers

Answer:  The average rate of change is 1.

Step-by-step explanation:

The average rate of change f(x) on the interval [a,b] is (f(b)−f(a))/(b−a)

a=−2 , b=2, f(x)=4X^2+x+3.

(f(b)-f(a))/(b-a)= (3+(2)+4(2)^2-(3+(-2)+4(-2)^2)) / (2-(-2)) = 1

solve for x.
0.4x-2.8/4=1.5
x=

Answers

Answer:

5.5

Step-by-step explanation:

0.4x = 2.2

x = 5.5

help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

80.58

Step-by-step explanation:

do you need an explanation or will this be fine?

That is just the chart. Disregard question 6. 7. A survey of 381 adult females produced a mean height of 65.2 inches with a standard deviation of 2.8 inches. Construct a confidence interval based on a 95% confidence level.O (64.92, 65.48)© (64.83, 65.57)O (65.19, 65.21)© (64.96, 65.44)

Answers

Step 1

Given;

[tex]\begin{gathered} n=381\text{ adults} \\ Mean\text{ \lparen}\mu)=65.2 \\ \sigma=2.8 \end{gathered}[/tex]

Step 2

The confidence interval is given as follows;

[tex]CI=\mu\pm t_{\frac{\alpha}{2}}(\frac{s}{\sqrt{n}})[/tex]

The test statistic for a 95% confidence interval with α = 0.05, the degrees of freedom, df= n-1 = 381-1=380

[tex]t_{\frac{\alpha}{2},df}=t_{\frac{0.05}{2},380}[/tex][tex]t_{\frac{\alpha}{2},df}=t_{\frac{0.05}{2},380}=1.97[/tex][tex]\begin{gathered} C.I=65.2\pm1.97(\frac{2.8}{\sqrt{381}})=65.2\pm0.2825932406 \\ C.I=(64.92,65.48) \end{gathered}[/tex]

Answer;

[tex]C.I=(64.92,65.48)[/tex]

line m and n are parallel when x=

Answers

we have those angles must measure the same so

[tex]\begin{gathered} 4x-6=150 \\ 4x=156 \\ x=\frac{156}{4}=39 \end{gathered}[/tex]

so x=39

A side mirror of a small pick up truck is similar to that of a larger full size pickup truck. If the smaller truck has a rectangular side mirror of width 5.0 in. and height 6.0 in., what is the height in inches of the larger mirror if the width is 10.0 in.?

Answers

If the width of larger full size pickup truck is 10.0 in. then its height is equal to 12inches.

As given in the question,

Side mirror of a small pick up truck is similar to larger full size pick up truck.

Smaller truck has rectangular side mirror

Width = 5.0 in.

Height = 6.0 in.

Larger mirror

Width = 10.0 in.

Let h be the height of the larger mirror

Both the mirrors are similar and rectangular in shape.

Hence, sides are in proportion

5 /6 = 10 /h

⇒h = (6 ×10) / 5

⇒ h = 12 in.

Therefore, if the width of larger full size pickup truck is 10.0 in. then its height is equal to 12inches.

Learn more about width here

brainly.com/question/17156323

#SPJ1

2y + 6 = y — 7. What is the value of y?​

Answers

y=-13

Step-by-step explanation:

2y+6=y-7

2y+6-6=y-7-6

2y=y-13

2y-y=y-13-y

y=-13

The value after solving the given expression will be equal to -13.

What is an expression?

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the given expression in the question is,

2y + 6 = y - 7

Rearrange the equation,

2y - y = -7 - 6

y = -13

Therefore, the obtained value for y will be -13.

To know more about expression:

https://brainly.com/question/14083225

#SPJ2

write the equation in standard form. identify A,B, and C

Answers

we have the following:

[tex]\begin{gathered} y=5x-8 \\ \end{gathered}[/tex]

standard form

[tex]y=Ax^2+Bx+C[/tex]

Therefore:

A = 0

B = 5

C = -8

The question to the second Image below
Q: Solving which system leads to a contradiction where there is no solution?

Answers

The system of equations given has infinitely number of solutions.

System of Equation

A system of equations is a set of two or more equations with the same variables. A solution to a system of equations is a set of values for the variable that satisfy all the equations simultaneously.

system of equations, or simultaneous equations, In algebra, two or more equations to be solved together (i.e., the solution must satisfy all the equations in the system). For a system to have a unique solution, the number of equations must equal the number of unknowns.

In the given question, we can solve for the equation given;

[tex]y = 4x + 5\\-8x + 2y = 10\\[/tex]

Solving for both x and y;

The solution of the equation is y = 4x + 5

The system has infinitely many solutions;

In the second system of equations;

y = 0.5x + 3, x = 2y = -16

This equation is not correct.

Learn more on system of equations here;

https://brainly.com/question/13729904

#SPJ1

Can someone please answer this question for me:

Answers

Answer:

16c²+ 32 cd +16d²

Step-by-step explanation:

area of rectangle is side²

(4c+4d)²

16c²+ 16cd+16cd+16d²

16c²+32cr+16d²

16 c2+32 cd + 16d2 xd

Jonas wants to make a poster of a drawing he made. The original drawing is 8 inches wide, and he wants the poster to be 30 inches wide. What zoom button setting will he have to use on the library copier to create a poster of this size?

Answers

Answer:

He should use a 375% zoom to create a 30-inch wide poster.

Step-by-step explanation:

30/8 = 3.75, and 8*3.75=30. So 375%.

Mark as brainliest please.

Penny is selling candles for $3 each at a fundraiser.
If she starts selling with $4 to help her make change, how many candles, x, will she
have to sell to end up with $19?

Answers


3x + 4 = 19
Subtract 4 from both sides

3x=15
Divided by 3 on both sides

X= 5

She needs to sell 5 candles to end up with $19

Answer: x=5

Step-by-step explanation: Based on the given conditions formulate:: 4+3[tex]x[/tex]x=19

Rearrange variables to the left side of the equation: 3x=19-4

Calculate the sum or difference: 3x=15

Divide both sides of the equation by the coefficient of the variable: x=[tex]15/3[/tex]

Cross out the common factor: x=5

Here is the imagine of the triangle ABC and it’s dilations using center D and scale factor 2

Answers

(3) The question state that we should explain the relationship between angle ACB and A'C'B' in the given diagram.

From the the diagram in the question, we can see that wa have two different triangle which are ABC and A'B'C'.

The relationship between angle ACB and angle A'C'B' is that they are corresponding angles. because they are on the same side of the line.

Corresponding angles are any pair of angles each of which is on the same side of one of two lines cut by a trasnsversal and on the same side of the transversal.

Therefore, the relationship between angle ACB and angle A'C'B' is that they are corresponding angles.

Finding the absolute maximum and minimum of a function given the graph

Answers

Explanation

An absolute maximum point is a point where the function obtains its greatest possible value.

Similarly, an absolute minimum point is a point where the function obtains its least possible value.

Step 1

check the graph of g:

The y- coordinates (output) at the highest and lowest points are called the absolute maximum and absolute minimum

To locate absolute maxima and minima from a graph, we need to observe the graph to determine where the graph attains it highest and lowest points on the domain of the function

so, for G

[tex]\begin{gathered} \text{maximum}=\text{ None ( the graph continues raising up)} \\ \text{minimum}=-3 \end{gathered}[/tex]

Step 2

Now, for h

[tex]\begin{gathered} \text{ Minimum; -5} \\ \text{ ma}\xi mum\colon5 \end{gathered}[/tex]

I hope this helps you

Other Questions
In baseball, Ken gets on base 60% of the time he bats. If Ken bats 5 times, how many times did he get on base? Women living in England's North American colonies were generally expected to: help meeeeeee pleaseee !!!! peter deposited $7,790 into an account that earns 4 5/8% interest, compounded annually. calculate the interest peter will earn after 42 months. how much will peter have in his account after 42 months? Which diagnostic test measures the level of oxygen and carbon dioxide in the blood?. vector W has its initial point at (2,5) and its terminal point at (-4,-2) Use point slope form to write the lines with the given slope and point in slope intercept form.m= -1(-5,-4) I don't understand this: beth wants to paint a circular tabletop that has a radius of 3 feet. a small can of paint covers 15 square feet. how many cans will beth need to buy? ................ ................ ................ ................ ................ Question 8 of 8 Pls answer quickly pls and thank you What are all the possible ways to classify the following shape?shape A. polygon, quadrilateral, trapezoid B. polygon, quadrilateral, parallelogram, trapezoid C. quadrilateral, trapezoid what historical events and intellectual movements shape early American thought and culture? lenore, incorporated gathered the following information from its accounting records and the october bank statement to prepare the october bank reconciliation: ending cash balance per books, 10/31 $ 4,400 deposits in transit 330 interest received from bank 1,300 bank service charge for check printing 120 outstanding checks 2,900 nsf check of t. owens 220 the up-to-date ending cash balance on october 31 is: I need help with the following question. Write the given equation of a line that passes through two given points (-2,-1) and (0,-5) Y-intercept = 4 Slope = 2 suppose that g is an abelian group of order 16, and in computing the orders of its elements, you come across an element of order 8 and two elements of order 2. explain why no further computations are needed to determine the isomorphism 4x + 6 -1 x Solve for variable c6c x 88 - 93 = 67 what was a benfit of a grant. In the lab, Jane has two solutions that contain alcohol and is mixing them with each other. She uses 400 milliliters less of Solution A than Solution B. Solution A is 12% alcohol and Solution B is 20% alcohol. How many milliliters of Solution B does she use, if the resulting mixture has 176 milliliters of pure alcohol?