Larry shaded this area model to show an expression.

A model with 6 rows of 5 orange squares and 6 rows of 7 blue squares.

Which expressions did Larry model?
Check all that apply.
5(7)
30 + 42
6 + (5)(7)
6(5 + 7)
(6)(5) + (6)(7)

let

d1 = 250 mi the distance that Mattie Evans drove

v1 = the speed of Mattie Evans

d2 = 1300 mi the distance the plane traveled

v2 = the speed of the plane

The speed of the plane was 190 mph faster than the speed of the car:

v2 = v1 + 190

since time = distance/speed and they both traveled the same time we have

d1/v1 = d2/v2

250/v1 = 1300/v2 cross multiply

250v2 = 1300v1 divid eboth sides by 50

5v2 = 26v1

by solving the system of equations:

v2 = v1 + 190

5v2 = 26v1

we find

v1 = 45.24 mph

v2 = 235.24 mph

To find the total volume of the fruit punch, we need to convert the given measurements to a consistent unit. Since we want to find the volume in quarts, we'll convert everything to quarts.

Given:

1 1/2 cups of mango juice

1 1/2 pints of pineapple juice

1 1/8 quarts of juice

We need to convert cups and pints to quarts:

1 1/2 cups = 1.5/4 quarts (since there are 4 cups in a quart)

1 1/2 pints = 1.5/2 quarts (since there are 2 pints in a quart)

Now let's add up the converted volumes:

1.5/4 quarts (mango juice) + 1.5/2 quarts (pineapple juice) + 1 1/8 quarts (juice)

To add fractions, we need a common denominator. In this case, the common denominator is 8.

1.5/4 quarts + 1.5/2 quarts + 1 1/8 quarts

= 3/8 quarts + 6/8 quarts + 9/8 quarts

= (3 + 6 + 9)/8 quarts

= 18/8 quarts

Now, let's simplify the fraction:

18/8 quarts = 9/4 quarts

Therefore, Jen makes 9/4 quarts of fruit punch.

Alternatively, we can convert the fraction to a mixed number:

9/4 quarts = 2 1/4 quarts

So, Jen makes 2 1/4 quarts of fruit punch.

Learn more about fraction here:

https://brainly.com/question/78672

#SPJ11

y = 1 ± 9 sqrt(1 - (x/9)^2)

This is the equation of the curve in terms of x and y.

(x - 0)^2 + (y - 1)^2 = 9^2

This is the equation of a circle centered at (0, 1) with radius 9.

a. To eliminate the parameter t, we can use the trigonometric identity cos^2(t) + sin^2(t) = 1 to solve for cos(t) in terms of sin(t):

cos^2(t) = 1 - sin^2(t)
cos(t) = ±sqrt(1 - sin^2(t))

Since the x-coordinate of the curve is given by x = 9 cos(t), we can substitute the expression for cos(t) and obtain:

x = ±9 sqrt(1 - sin^2(t))

Squaring both sides and simplifying, we get:

x^2 + 9^2 sin^2(t) = 81

Solving for sin(t) and substituting into the expression for y, we obtain:

y = 1 ± 9 sqrt(1 - (x/9)^2)

This is the equation of the curve in terms of x and y.

b. The curve is a circle centered at (0, 1) with radius 9. The positive orientation is counterclockwise around the circle. The starting point is (9, 1) and the ending point is (-9, 1).

To see this, we can rewrite the equation of the curve in standard form:

(x - 0)^2 + (y - 1)^2 = 9^2

This is the equation of a circle centered at (0, 1) with radius 9. The positive orientation is counterclockwise around the circle because the parameter t increases in a counterclockwise direction. The starting point occurs when t = 0, which corresponds to x = 9 and y = 1, and the ending point occurs when t = pi, which corresponds to x = -9 and y = 1.

Visit to know more about Equation:-

brainly.com/question/22688504

#SPJ11

Answer:

2. The company's profit from selling their product for $6 per unit is $120.

Step-by-step explanation:

If we graph this function on a 2-axis plane such that the horizontal axis (x) represents \(s\), or the product's price per unit and the vertical axis (y) represents \(p(s)\), or the profit made by selling the product at \(s\) dollars, we'll find that the \(p\)-coordinate of the point where \(s=6\) is 120. Hence, $120 profit will be made if the product is sold at $6 per unit.

See the attached image for a graph.

100 is part of the solution to the inequality 1.25(x + 16) ≥ 140.75.

What is an inequality equation?

An inequality equation is a mathematical statement that compares two expressions using an inequality symbol such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).

To determine if 100 is part of the solution to the inequality 1.25(x + 16) ≥ 140.75, we can substitute 100 for x and see if the inequality holds true.

1.25(x + 16) ≥ 140.75

1.25(100 + 16) ≥ 140.75

1.25(116) ≥ 140.75

145 ≥ 140.75

Since 145 is greater than or equal to 140.75, the inequality holds true when x = 100.

Therefore, 100 is part of the solution to the inequality 1.25(x + 16) ≥ 140.75.

To know more about inequality equations visit:

https://brainly.com/question/30238989

#SPJ1

6.75

-2.25

----------

4.50

-2.25

----------

2.25

-2.25

----------

0.00

you could bowl 3 times (it starts off at 6.75 because I took away the cost of the shoes)

Answer:

angle 700 < angle 1120 pounds

The information that is not sufficient to prove that a parallelogram is a square is the measurement of its angles alone. Additional information about the lengths of its sides is needed to confirm if a parallelogram is indeed a square.

To determine whether a parallelogram is a square, we need to consider both the angles and the side lengths. A parallelogram has opposite sides that are parallel and equal in length, and opposite angles that are congruent. While a square is a special type of parallelogram with four equal sides and four right angles, simply knowing that the angles of a parallelogram are equal is not enough to establish it as a square.

To confirm that a parallelogram is a square, we must also ensure that all four sides are of equal length. In a square, all angles are right angles, and all sides are congruent. Therefore, if we have information about the side lengths of a parallelogram and can verify that they are equal, along with the knowledge that the angles are right angles, then we can conclude that the parallelogram is indeed a square.

To learn more about parallelogram click here: brainly.com/question/1563728

#SPJ11

Answer:

x=6

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x = 6

Step-by-step explanation:

In this equation, we are told to solve for the value of x. Thus, we must isolate the variable x (poor x... we're always trying to isolate it).

3 - 2x = -1.5x

(I'm going to swap sides to make it easier for me to solve. This doesn't change anything mathematically due to the associative laws. It's purely cosmetic.)

-1.5x = 3 - 2x

First, we can add 2x to both sides of the equation to get all algebraic expressions containing the variable x on one side of the equation alone.

0.5x = 3

For our next part here, let's convert 0.5 to a fraction to make life easier for us.

\(\frac{1}{2}\)x = 3

When isolating x in this, we are trying to get rid of 1/2. How can we do this? We can multiply is by 2!

\(\frac{1}{2}\)x · \(\frac{2}{1}\) = 1x (or simply x)

What we do to one side we must do to another.

x = 3 · 2

x = 6

Our answer is x = 6. Woo!

Answer:

C

Step-by-step explanation:

when u take the 2 shortest sides and add them up, they must be greater than the longest length.

Answer:

3

Step-by-step explanation:

There are always three acute angles in an acute triangle. The definition of an acute triangle is that it is a triangle in which all angles are less than 90 degrees.

Hopefully this helps :)

Answer

if there´s any answer choice, the answer is 1

Step-by-step explanation:

Answer:

576 FT^3

243 m^3

95 cm^3

400 cm^3

150 m^3

Step-by-step explanation:

Volume of a pyramid = 1/3 x ( length base x height)

Volume of a prism= ( length base x height)

1. prism = 192 x 3 = 576 FT^3

2. prism = 729 / 3 = 243 ft^3

volume of a cylinder = nr^2h

Volume of a cone =  1/3(nr^2h)

3. cone = 285/3 = 95

5. cylinder = 50 x 3 = 150

4. sphere = 600 / 1.5 = 400

Answer:

Opposite angles are right angles.

Step-by-step explanation:

There are no right angles in a parallelogram.

Overall, equations provide a mathematical representation and understanding of relationships, while tables present data points in a structured format.

When comparing an equation and a table, you can examine their characteristics, purpose, and the information they provide. Here are some points to consider when making comparisons:

Representation:

An equation represents a mathematical relationship between variables using symbols and mathematical operations. A table presents data or values in a structured format, typically organized into rows and columns.

Communication of Information:

Equations provide a concise and general representation of a relationship, allowing for predictions, calculations, and modeling. Tables present specific data points or values, providing a visual representation of how variables are related or how they change.

Variables:

Equations involve variables, which can be manipulated to explore different scenarios and analyze the relationship between quantities. Tables display specific values or data points for variables, showing how they vary or are related based on the given information.

Visualization:

Equations can express relationships symbolically and provide a mathematical understanding, but they may not offer a visual representation of data. Tables provide a visual representation of data points, allowing for a quick overview and easy comparison of values.

Flexibility:

Equations offer flexibility in terms of adjusting variables and parameters to explore different scenarios and make predictions. Tables can be easily modified or expanded by adding or removing data points to reflect new observations or additional information.

To know more about equation,

https://brainly.com/question/30242909

#SPJ11

Answer:

6.5 cm

Step-by-step explanation:

Please find step by step explanation on picture

Answer:2/5=4/10 and 1/4=2/8

Step-by-step explanation: you can simplify 4/10 to get 2/5 and same with 2/8. You would divide the fraction by two.

Answer:

Population size:5

Lowest value: 1

Highest value: 6

Range: 5

Thanks!

the equation has no real solutions. Therefore, there are no critical numbers for the function f(x) = 31x³ + 4x² + 7x among the options given

To find the critical numbers of the function f(x) = 31x³ + 4x² + 7x, we need to find the values of x where the derivative of the function is equal to zero or undefined.

Let's find the derivative of f(x) first:

f'(x) = d/dx (31x³ + 4x² + 7x)

      = 93x² + 8x + 7.

To find the critical numbers, we set f'(x) equal to zero and solve for x:

93x² + 8x + 7 = 0.

This quadratic equation does not factor easily, so we can use the quadratic formula to find the solutions for x:

x = (-b ± √(b² - 4ac)) / (2a).

Using the values a = 93, b = 8, and c = 7, we can calculate the solutions:

x = (-8 ± √(8² - 4 * 93 * 7)) / (2 * 93)

 = (-8 ± √(64 - 2604)) / 186

 = (-8 ± √(-2540)) / 186.

Since the discriminant is negative, the equation has no real solutions. Therefore, there are no critical numbers for the function f(x) = 31x³ + 4x² + 7x among the options given: x = -1, x = 1, x = 0, x = 2, x = -2.

Learn more about Critical numbers here

https://brainly.com/question/32294909

#SPJ4

Answer: The Gusty and Howling wind

Step-by-step explanation: It the best choices out all them because the other choices would not fit the sentence correctly.

The answer is D for the first and B for the second.

Answer:

the constant of proportionality is 14

The constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship.

The constant of proportionality for y = 14x is 14.

The constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship.

Example:

The number of apples in a crop is proportional to the number of trees in the orchard.

The ratio of proportionality is the average number of apples per tree.

We have,

y = 14x

We have two variables x and y.

We can write it as:

y/x = 14 or

y ∝ x i.e y = 14x

This means the constant of proportionality is 14.

Thus the constant of proportionality for y = 14x is 14.

Learn more about constant of proportionality here:

https://brainly.com/question/8598338

#SPJ2

Answer: 1. €37 and €17

2. €34

Step-by-step explanation:

Given Data:

Cost of 1/4kg of chorizo = €9.25

Cost of 1/2kg of cheese = €8.50

Therefore:

1. Cost of 1kg of each product.

If 1/4 kg or chorizo cost €9.25,

1kg = 1/4 which is known as one fourth or one quarter. There are 4 one fourth in 1

1kg = 1/4 + 1/4 + 1/4 + 1/4

Or

1kg = 4 * €9.25

1kg = €37

Cost of 1kg of chorizo is €37

Cost of 1kg of cheese

If 1/2kg = €8.50

Then; 1kg = 1/2 + 1/2

1kg = €8.50 + €8.50

1kg = €17

Cost of 1kg of cheese = €17

2. Cost of 2kg of cheese.

If 1kg of cheese cost €17

2kg = 2 * €17

2kg = €34

Cost of 2kg of cheese is €34

Answer:

120 different groups of 3

Step-by-step explanation:

You will use combination for this

\(\frac{n!}{(r!(n-r)!)}\)

n=total amount (10)

r=sample size (3)

Answer:

Step-by-step explanation:

5x(2+6x-5y)+2y(2+3y-4x)

10x+(30x^2)-25xy + 4y+(6y^2)-8yx

Correlation analysis is used to determine the strength of the relationship between the dependent and the independent variables. The correct option is : the strength of the relationship between the dependent and the independent variables.

Correlation analysis is a statistical technique used to measure the strength and direction of the relationship between two variables.

It helps determine how closely related or dependent the variables are on each other. The result of a correlation analysis is represented by a correlation coefficient, typically denoted by the symbol "r."

The correlation coefficient ranges from -1 to +1, where a value close to -1 or +1 indicates a strong relationship, while a value close to 0 indicates a weak or no relationship.

It provides valuable insights into the nature of the relationship, allowing researchers to understand how changes in one variable are associated with changes in the other variable.

The analysis does not provide the equation of the regression line or a specific value of the dependent variable for a given value of the independent variable.

Therefore, correlation analysis is used to assess the strength of the relationship between the dependent and independent variables.

To know more about correlation analysis refer here :

https://brainly.com/question/28541510#

#SPJ11

Answer:

Step-by-step explanation:

The first number is

−

13

and the second number is

−

6

Explanation:

Let's let the first number be

n

and the second number be called

m

.

Then, from the first sentence we can write:

n

=

m

−

7

and from the second sentence we can write:

2

n

=

6

m

+

10

Substitute

m

−

7

for

n

in the second equation and solve for

m

:

2

(

m

−

7

)

=

6

m

+

10

2

m

−

14

=

6

m

+

10

2

m

−

14

−

2

m

−

10

=

6

m

+

10

−

2

m

−

10

−

14

−

10

=

6

m

−

2

m

−

24

=

4

m

−

24

4

=

4

m

4

m

=

−

6

Now substitute

−

6

for

m

in the first equation and calculate

n

:

n

=

−

6

−

7

n

=

−

13

Step-by-step explanation:

3/6=k/7

cross multiply then

6k=21

divide by the coefficient of k

k=3.5

Answer:

\(\frac{x^3}{1024^3}\)

Step-by-step explanation:

Use negative power rule:  x^-a=1/x^a.

(1/4^2x  * 4^-3)^3

simplify 4^2 to 16

(1/16x * 4 ^-3)^3

Use negative power rule:  x^-a=1/x^a.

(1/16x * 1/4^3)^3

simplify 4^3 to 64.

(1/16x * 1/64)^3

use this rule: a/b * c/d = ac/bd.

(1*x*1/16*64)^3

Simplify the top part

(x/16*64)^3

Simplify the bottom

(x/1024)^3

use division distributive property: (x/y)^a=x^a/y^a.

x^3/1024^3

Answer:

If you want this in an equation, it would be \(15x <32\)

If you want the answer to this, it would be \(x<2\frac{2}{15}\)

Step-by-step explanation:

Hope this helps:)