How much more does the cat eat than the parrot? The Parrot eats 3/8 pounds of food, and the cat eats 7/8 pounds of food. Write and solve an equation to represent the problem?

Answers

Answer 1

The equation and solution of the problem are 3/8-7/8 and 1/2.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Given;

The food parrot eats = 3/8pounds

The food cat eats = 7/8pounds

Now, food eaten more by cat =7/8-3/8

=(7-3)/8

=4/8

=1/2

Therefore, the answer to equation will be 1/2.

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Related Questions

where are the two variables is part A? Tiya earns $7 an hour mowing her neighbor's lawn.

Part A: Create two variables and determine which is dependent and which is independent for this situation. (4 points)

Answers

The two variables are; earnings, y and hours, x in which case, the former is the dependent variable while the latter is the independent variable.

Which is the dependent and which is the independent variable?

It follows from the task content that Tiya earns $7 an hour mowing her neighbor's lawn.

On this note, it follows that the amount of money earned by Tiya is a dependent variable which solely depends on the number of hours spent on the job, which is the independent variable.

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A carnival ferris wheel with a radius of 7m rotates once every 16 seconds. The bottom of the wheel is 1m above the ground.

Find the equation of the function that gives a rider's height above the ground in meters as a function of time, in seconds, with the rider starting at the bottom of the wheel.

Please use math tools to state your answer - see hint. Or attach your work as ONE easy to read file.

Answers

The equation of the function that gives a rider's height above the ground in meters as a function of time, in seconds is y(t) = 14sin(πt/8) + 1

The equation of the function that gives the height of the ferris wheel

Since the motion of the ferris wheel is periodic,it follows a sinusoidal function form.

So, the general form of a sine function y(t) is

y(t) = Asin(2πt/T) + K where

A = amplitude, T = period, t = time and K = vertical shift

Now since radius of 7m, the maximum value from its lowest point is at y = 2r + 1 = 2 × 7 + 1 = 14 + 1 = 15 at sin(2πt/T) = 1 which is the maximum value for sinФ = 1.

Since the bottom of the wheel is 1m above the ground, its minimum value is y = 1 at t = 0.

Also, it rotates once every 16 seconds, so its period T = 16 s.

So, y(t) = Asin(2πt/T) + K

y(t) = Asin(2πt/16) + K

y(t) = Asin(πt/8) + K

At maximum value

15 = Asin(πt/8) + K

15 = A + K (1)

At minimum value

1 = Asin(πt/8) + K

1 = A(0) + K

1 = 0 + K

K = 1

Substituting K into (1), we have

15 = A + 1

15 - 1 = A

14 = A

A = 14

So, y(t) = Asin(πt/8) + K

y(t) = 14sin(πt/8) + 1

So, the equation of the function that gives a rider's height above the ground in meters as a function of time, in seconds, with the rider starting at the bottom of the wheel is y(t) = 14sin(πt/8) + 1

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Which choice is a term in this expression? -3x − 7(x + 4)

Answers

Answer:

Mate im sorry for replying here but i need points to ask a question.

The function f(X) =7^x + 1 is transformed to function g through a horizontal compression by a factor of 1/3

Answers

The equation of the function g(x) is g(x) = 7^(3x) + 1

How to determine the function g(x)

The function f(x) is given as:

f(x) = 7^x 1

When compressed horizontally by a factor of 1/3.

We have:

g(x) = f(3x)

This implies that:

g(x) = 7^(3x) + 1

Hence, the equation of the function g(x) is g(x) = 7^(3x) + 1

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find x and y

plssss help

Answers

90 + 6x = 180

-90

6x = 90

÷6

x = 15

5y + 4y + 90 + (6x15) =360

9y + 90 + 90 = 360

9y + 180 = 360

- 180

9y = 180

÷9

y = 20

Hope this helps!

1. Determine the measure of angle B.
B
30
A
64
51

Answers

Answer: 51.4°

Step-by-step explanation:

Use law of cosines:

(because you are trying to find angle B, you need to use Cos B)

Cos B = c² + a²-b²/ 2ca

Then, plug in your numbers:

Cos B = 30²+64²-51²/ 2(30)(64)

Simplify:

Cos B = 0.6237

Next, to get rid of Cos B, so that we have just B, you need to do the Arccosine or 0.6237:

B = arccosine (0.6237)

Which gets you: 51.4°

The measure of angle B is 51.41 degrees after applying the cos law of the triangle.

What is the triangle?

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We have given a triangle in the figure:

To find the measure of the angle B

We can apply cos law:

c² = a² + b² - 2ab cosB

The a, b, and c represents the side lengths of the triangle and the measures are:

a = 30

b = 64

c = 51

51² = 30² + 64² - 2(30)(64) cosB

3840CosB = 4996 - 2601

3840CosB = 2395

CosB = 2395/3840

CosB = 0.623

B = Cos⁻¹(0.623)

B = 51.41 degrees

Thus, the measure of angle B is 51.41 degrees after applying the cos law of the triangle.

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Find the indicated side of the

right triangle.

60°

30°

X

x = 3√√√/[?]

3

Answers

Answer:

[tex]3\sqrt{3}[/tex]

Step-by-step explanation:

The given is a special right triangle with angle measures 30-60-90

The measure of side lengths for this special right triangle are represented with

a-a[tex]\sqrt{3}[/tex]-2a respectively

Now, since the side length that sees angle measure 30 is given as 3 (represented with a) then the measure of the side length that sees angle measure 60 would be [tex]3\sqrt{3}[/tex]

Suppose f′(6)=5 and g′(6)=7.
Find h′(6) where h(x)=4f(x)+5g(x)+1.

Answers

The value of the derivative of functions h'(6) as requested in the task content is; 55.

What is the value of h'(6)?

Since it follows from the task content that the function h(x)=4f(x)+5g(x)+1.

Hence, the derivative of h(x) can be evaluated as;

h'(x)=4f'(x)+5g'(x)

On this note, by substitution, it follows that;

h'(6)=4(5)+5(7)

h'(6) = 55.

Answers

I assume you meant [tex]f(x)=8^x[/tex].

Reflecting across the x-axis would give [tex]y=-8^x[/tex].

Reflecting across the y-axis would give [tex]y=8^{-x}[/tex].

Melissa Costouras obtains a $3,000 loan for darkroom equipment. She makes six monthly payments of $511.18. Determine the APR.

Answers

Using the simple interest formula, it is found that the APR for the loan is of 4.472%.

What is the simple interest formula and when it is used?

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

[tex]A(t) = A(0)(1 + rt)[/tex]

In which:

A(0) is the initial amount.r is the interest rate, as a decimal.

The parameters for this problem are:

A(t) = 6 x 511.18 = 3067.08, A(0) = 3000, t = 0.5.

We solve the equation for r to find the APR.

[tex]A(t) = A(0)(1 + rt)[/tex]

[tex]3067.08 = 3000(1 + 0.5r)[/tex]

[tex]1 + 0.5r = \frac{3067.08}{3000}[/tex]

1 + 0.5r = 1.02236

r = (1.02236 - 1)/0.5

r = 0.04472.

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Please tell me fast on a time crunch

Answers

Answer:

x ≥ -6

Step-by-step explanation:

x - 4 ≤ 3x + 8

Add 4 to both sides.

x ≤ 3x + 12

Subtract 3x from both sides.

-2x ≤ 12

Divide both sides by -2. Remember to change the direction of the inequality sign since you are dividing by a negative number.

x ≥ -6

Answer:

[tex]x \geqslant - 6[/tex]

Step-by-step explanation:

[tex]x - 4 \leqslant 3x + 8 = = > \\ - 12 \leqslant 2x = = = > \\ x \geqslant - 6[/tex]

Choose the correct simplification of (4x − 3)(3x2 − 4x − 3).

Answers

the expression simplified is:

[tex]12x^3 - 25x^2 + 9[/tex]

How to simplify the given expression?

Here we have the expression:

[tex](4x - 3)*(3x^2 - 4x - 3)[/tex]

We just need to distribute the product, we will get:

[tex](4x - 3)*(3x^2 - 4x - 3)\\\\(4x)*(3x^2 - 4x - 3) - 3*(3x^2 - 4x - 3)\\\\12x^3 - 16x^2 - 12x - 9x^2 + 12x + 9[/tex]

Now we just need to group terms with the same exponent of x:

[tex]12x^3 - 16x^2 - 12x - 9x^2 + 12x + 9\\\\12x^3 + (-16 - 9)x^2 + (-12 + 12)x + 9\\\\12x^3 - 25x^2 + 9[/tex]

That is the expression simplified

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if sinA=4/5 solve sin2A, cos2A and tan2A

Answers

Step-by-step explanation:

1) if m(∠A)∈[0;90°), then

[tex]cos(A)=\sqrt{1-sin^2A} =\frac{3}{5};[/tex]

[tex]sin2A=2sinAcosA=2*\frac{3}{5} *\frac{4}{5}=\frac{24}{25};[/tex]

[tex]cos2A=cos^2A-sin^2A=\frac{9}{25}-\frac{16}{25}=-\frac{7}{25};[/tex]

[tex]tan2A=\frac{sin2A}{cos2A}=-\frac{\frac{24}{25}}{\frac{7}{25}}=-\frac{24}{7}.[/tex]

2) if m∠A∈[90°;180°), then

cos(A)=-0.6;

sin2A=-0.96;

cos2A=-0.28;

tan2A=-24/7.

Which of the following inequalities matches the graph?
-8 -0
O x>4
O x<4
O y> 4
O y<4
1

Answers

Answer:

it matches with equation c

Choose the algebraic description that maps the image ΔABC onto ΔA′B′C′.

Answers

The algebraic description that maps the image ΔABC onto ΔA′B′C′ is (x, y) ⇒ (x + 7, y - 4)

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, rotation, translation and dilation.

Translation is the movement of a point either up, left, right or down in the coordinate plane.

The algebraic description that maps the image ΔABC onto ΔA′B′C′ is (x, y) ⇒ (x + 7, y - 4)

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The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than an unknown number of inches.

Suppose the area of this rectangle is less than 12 square inches. Which of the following numbers could be the value of the unknown number? Select all that apply.

Answers

Answer:

6,4

Step-by-step explanation:

I'm not sure if 4 is correct but 6 definitely is. I hope this helps

Find the area. This is a trapezoid, with bases that measure 5 feet and 10 feet, and a height of 4 feet.

Answers

Answer:

A = 30 ft²

Step-by-step explanation:

the area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂)

where h is the height and b₁, b₂ the parallel bases , then

A = [tex]\frac{1}{2}[/tex] × 4 × (5 + 10) = 2 × 15 = 30 ft²

23 gram put into milligrams

Answers

Answer:

Step-by-step explanation: 23000 milligrams

23000 milligrams. just multiply by 1000

A Food Marketing Institute found that 29% of households spend more than $125 a week on groceries. Assume the population proportion is 0.29 and a simple random sample of 207 households is selected from the population. What is the probability that the sample proportion of households spending more than $125 a week is less than 0.31?
There is a ___ probability that the sample proportion of households spending more than $125 a week is less than 0.31. Round the answer to 4 decimal places.

Answers

Using the normal distribution, there is a 0.7357 = 73.57% probability that the sample proportion of households spending more than $125 a week is less than 0.31.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

The estimate and the sample size are:

p = 0.29, n = 207.

Hence the mean and the standard error are given as follows:

[tex]\mu = p = 0.29[/tex].[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.29(0.71)}{207}} = 0.0315[/tex].

The probability that the sample proportion of households spending more than $125 a week is less than 0.31 is the p-value of Z when X = 0.31, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.31 - 0.29}{0.0315}[/tex]

Z = 0.63

Z = 0.63 has a p-value of 0.7357.

0.7357 = 73.57% probability that the sample proportion of households spending more than $125 a week is less than 0.31.

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True or False - All whole numbers are integers but not all integers are whole numbers

Answers

Answer:

false

correct me if i'm wrong :]

Answer:

True

Step-by-step explanation:

the picture is the explanation and pretty much sus everything up about integers

Match each function with the corresponding function formula when h(x) = 5 - 3x and g(x) = -3x + 5.

Answers

Answer: -5=x

Step-by-step explanation:

kmbtvonpvnp4tnv

What kind of transformation is illustrated in this figure?

Answers

The transformation illustrated in the figure is translation.

What is Translation?

Translation is a Transformation process in which the size or shape of a figure is not changed rather it only changes the coordinates of the vertices that make up that shape by moving them from one point to another.

Analysis:

Both shapes are congruent, since all the vertices remain in their respective positions even though they were moved and no change in the shape or size, then the transformation process is Translation.

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Which graph shows a negative correlation? A graph with both axes unnumbered. Points show a steady trend. A graph with both axes unnumbered. Points are scattered loosely in the top half of the graph. A graph with both axes unnumbered. Points show a downward trend. A graph with both axes unnumbered. Points are scattered loosely all Over graph.

Answers

Answer:

The graph with a downward trend is the negative correlation

Step-by-step explanation:

Answer:

The Downward Slope or 'C' is the answer.

Step-by-step explanation:

Negative Slopes go down

Positive Slopes go up

Random Slopes are random

Scattered Slopes are scattered but together

A model house has a scale of 1 in : 2 ft. if the real house is 26 ft wide then how wide is the model house.

Answers

Answer: 13 in.

Step-by-step explanation:

All you need to do is divide 26 by 2 in this case.

A company determines that the revenue, in dollars, for selling a particular model of lamp is given by R(x)=x(−20x+1200), where x is the price of each lamp. At which of the following prices will the company’s revenue be $10,000?

Answers

The price that will maximize company’s revenue of $10,000 is $50.

How to calculate the price?

From the information, the company determines 50that the revenue, in dollars, for selling a particular model of lamp is given by R(x)=x(−20x+1200),

Therefore, this will be:

R(x) = -20x² + 1200x

10000 = -20x² + 1200x

-20x² + 1200x - 10000 = 0

x² - 60x + 500

x² - 50x - 10x + 500

x(x - 50) - 10(x - 50)

(x - 50)(x - 10)

Therefore, x - 50 = 0

x = 0 + 50 = 50

The price is 50.

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will give brainliest

Answers

ax² + bx + c = 0

discriminant = b² - 4ac

----> x² + 7x + 12

---> Discriminant of this equation = 7² - 12.1.4 = 49 - 48 = 1 (Positive discriminant)

x = (-7 + 1)/(2.1) = -6/2 = -3

x = (-7 - 1)/(2.1) = -8/2 = -4

Therefore, this equation has two real solutions and has a positive discriminant.

The correct answer is B

Time: ~15 minutes
Materials: pencil/paper or whiteboard/marker
Task: Two men and two women want to take a rowboat to an island. The boat has a maximum capacity of one man or two women. Someone must always be in the boat when it’s moving. How can all four of them get to the island?

Answers

The four of them can get to the island if the two women begins the journey first. Detail below:

How can the four of them get to the island?

From the question given, we were told that:

The boat has a maximum capacity of one man or two women.Someone must always be in the boat when it’s moving.

With the above information in mind, we can determine how the four of them can get to the island by following the steps listed below:

The two women will take the boat to the island.One of the women will return with the boat to meet with the other two men leaving the other woman on the island.One of them men will then take the boat to the island to meet the other women on the island.The woman on the island will return with the boat to meet the other man and woman.The two women will take the boat to meet the other man on the island.One of the women will return with the boat to meet with the other man.The last man will take the boat to meat the other man and woman on the island.The woman on the island will return with the boat to meet the last woman.Finally, the two women will take the boat to meet the two men on the island

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please help asap
thank you very much

Answers

Answer:

x=30 , y=165 & z=10

happy to help { bts army girl }

Answer:

Step-by-step explanation:

Comment

You must solve x and then y in that order. The reason for that is there are 2 x values and they can be equated to each other. The you can go after the y value, since they are supplement with the value you get from the first operation.

Equations

x + 45 = 2x+ 8

<3 + y + 30 = 180

Solution

<1 and <3 are equal Two vertically opposite angles are always =.

x + 45 = 2x + 8 Subtract x from both sides

x-x + 45 = 2x - x + 8 Combine

45 = x + 8 Subtract 8 from both sides

45 - 8 = x + 8 - 8 Combine

37 = x

<1 + <2 = 180 These two angles sit on the same straight line and have a side in common

x + 45 + y + 30 = 180 Substitute for x

37 + 45 + y + 30 = 180 Combine

112 + y = 180 Subtract 112 from both sides

112-112 + y = 180 - 112 Combine

y = 68

Which of the following equations is an example of inverse variation between
the variables x and y?

Answers

Answer:

we need a whole example not just the variables.

Step-by-step explanation:

Part 1:
A. Express the new length of the long side of the note card, once the two corners are removed.
B. Express the new width of the short side of the note card, once the two corners are removed.

Part 2:
Write a function A(x) that defines the area of the bottom of the box, once the corners are removed and the sides are folded up.

Part 3:
A. Suppose you want the bottom of your box to cover a total area of 16 in2. Set up an equation in standard form that will help you find the size (x) of the corner you need to cut in order for your box to have this area.
B. Solve this equation and take note of any extraneous solutions. Explain why the answer is extraneous, and clearly state the correct answer

Answers

The size of the corner you need to cut in order for your box to have this area is 0.5 inches

Part 1: A. Express the new length of the long side of the note card, once the two corners are removed.

The base length is given as:

Length = 7

When the edges are removed, the new length becomes

New length = 7 - x - x

Evaluate

New length = 7 - 2x

Part 1: B. Express the new width of the short side of the note card, once the two corners are removed.

The base width is given as:

Width = 4

When the edges are removed, the new length becomes

New width = 4 - x - x

Evaluate

New width = 4 - 2x

Part 2: Write a function A(x) that defines the area of the bottom of the box, once the corners are removed and the sides are folded up.

The area of the bottom of the box is calculated as:

Area = New length * New width

This gives

Area = (7 - 2x) * (4 - 2x)

Rewrite as:

A(x) = (7 - 2x) * (4 - 2x)

Part 3: Set up an equation in standard form that will help you find the size (x)

The area is given as:

Area = 16

So, we have:

(7 - 2x) * (4 - 2x) = 16

Expand

28 - 14x - 8x + 4x^2 = 16

Rewrite as

4x^2 - 14x - 8x + 28 - 16 = 0

Evaluate the like terms

4x^2 - 22x + 12= 0

Part 3: Solve this equation and take note of any extraneous solutions

We have:

4x^2 - 22x + 12= 0

Expand the equation

4x^2 - 24x - 2x + 12 = 0

Factorize the equation

4x(x - 6) - 2(x - 6) = 0

Factor out x - 6

(4x - 2)(x - 6) = 0

Solve for x

x = 0.5 or x = 6

The value of x = 6 is too big for the dimensions of the box.

So, x = 6 is an extraneous solution for the equation

Hence, the size of the corner you need to cut in order for your box to have this area is 0.5 inches