please help find the volume of a rectangular prism that gad a length of 5 ft, a width if 6 ft and a height of 14 ft.

Answer:

1.25 gallons of orange juice needed

Step-by-step explanation:

2(3/4)=3/2 cups per 1 person

24 x 3/2=36 cups for everyone

36 cups=18 pints

18-8=10 pints of orange juice

10 pints = 1.25 gallon

Answer:

1.25 gallons of orange juice

Step-by-step explanation:

24x2=48

3/4x48=36

36 cups into pints is 18 pints

18-8=10

10 pints into gallons is 1.25 gallons

Answer:

all are true

Step-by-step explanation:

if that blank spot is where youre supposed to put true or false, then yeah if you mulitply them they equal eachother for every equation

1. Equation is true

2. Equation is true.

3. Equation is true.

1. 45 x 18 = (40 x 10) + (40 x 8) + (5 x 10) + (5 x 8)

  To verify this, let's calculate each side of the equation:

  Left side: 45 x 18 = 810

  Right side: (40 x 10) + (40 x 8) + (5 x 10) + (5 x 8) = 400 + 320 + 50 + 40 = 810

  The equation is true: 810 = 810

2. 99 x 31 = (100 x 31) - (1 x 31)

  To verify this, let's calculate each side of the equation:

  Left side: 99 x 31 = 3069

  Right side: (100 x 31) - (1 x 31) = 3100 - 31 = 3069

  The equation is true: 3069 = 3069

3. 64 x 15 = 32 x 30

  To verify this, let's calculate each side of the equation:

  Left side: 64 x 15 = 960

  Right side: 32 x 30 = 960

  The equation is true: 960 = 960

In all three cases, the equations are true, meaning that the left-hand side of each equation is equal to the right-hand side.

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Answer:

Step-by-step explanation:

The polynomial that represents the area of the shaded region is given as follows:

x² - 3x + 36.

The area of a rectangle is given by the multiplication of the width and the length of the triangle, as follows:

A = lw.

For the entire region, the area is given as follows:

A = (x + 1)(x + 1)

A = x² + 2x + 1.

The area of the white region is given as follows:

Aw = 5(x - 7)

Aw = 5x - 35.

Then the area of the shaded region is given as follows:

As = A - Aw

A = x² + 2x + 1 - (5x - 35)

A = x² + 2x + 1 - 5x + 35

A = x² - 3x + 36.

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The graph of the new function will be a line that is steeper than the original line and slopes upward from left to right.

Since, A slope of a line is the change in y coordinate with respect to the change in x coordinate.

The net change in y-coordinate is represented by Δy and the net change in x-coordinate is represented by Δx.

Hence, the change in y-coordinate with respect to the change in x-coordinate is given by,

m = change in y/change in x = Δy/Δx

Where “m” is the slope of a line.

The slope of the function y = -3.5x + 12.8 is -3.5. If the slope is changed to 1.5, the graph of the new function will be steeper than the original function.

When the slope of a linear function is positive, the line slopes upward from left to right. When the slope is negative, the line slopes downward from left to right. The greater the absolute value of the slope, the steeper the line.

Since the new slope is positive and greater than 1, the graph of the new function will be a line that is steeper than the original line and slopes upward from left to right.

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Step-by-step explanation:

angle 3 = 57deg (alt. angles, //lines)

angle 2 = 180 - 57 - 33 = 90deg (angles in a triangle)

angle 1 = 180 - 90 - 57 = 33 deg (angles on a str line are supplementary)

Topic: angle properties

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The measures of angles 1, 2 and 3 are, 33, 90, 57 degree.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

from the given diagram,

angle 3 = 57deg (alt. angles, //lines)

angle 2 = 180 - 57 - 33 = 90deg (angles in a triangle)

angle 1 = 180 - 90 - 57 = 33 deg (angles on a str line are supplementary)

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Answer:

  94.3

Step-by-step explanation:

You want to know how to fill in the proportion associated with the question, "What is 115% of 82?"

The diagram is intended to help you match parts of the question to parts of the proportion. The attachment shows the intended relation.

The solution is found by multiplying both sides by 82:

  (x/82)·82 = (115/100)·82

  x = 94.3

The question can also be written as a statement:

  "what" is 115% of 82

When written as an equation, "is" means "equals", and "of" means "times":

  what = 115% × 82

Of course, you can use any variable name of your choosing in place of "what". In your diagram, that is "x". And, you know how to write a percentage as a fraction or decimal, so this becomes ...

  x = 115/100 × 82 = 1.15 × 82

All that remains is to evaluate this expression.

  x = 1.15 × 82 = 94.3

So, the answer to the question is ...

  94.3 is 115% of 82.

Hello!

x² - 5x + 6

= (x² - 2x) + (-3x + 6)

= x(x - 2) - 3(x - 2)

= (x - 2)(x - 3)

ANSWER

======

The graph is increasing from left to right.

======

EXPLANATION

======

The slope and y-intercept values indicate characteristics of the relationship between the two variables x and y. The slope indicates the rate of change in y per unit change in x. The y-intercept indicates the y-value when the x-value is

Summary of slope of parallel lines:

Parallel lines have equal slopes. The parallel lines are equally inclined with regard to the positive x-axis, and this is taken into account when calculating a line's slope.

If one line has a slope of m1, another line has a slope of m2, and both lines are parallel, then we get m1 = m2.

The coefficients for "x" and "y" in the equations that depict parallel lines are identical.

Ax + by + c2 = 0 is the line that is parallel to ax + by + c1 = 0. Observation reveals that the x and y coefficients in both equations are equivalent.

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Answer:

Base:12

Volume:76.8

Step-by-step explanation:

The base is 3*8/2

which is 12

and the volume is base * height so

12*6.4

=76.8

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Therefore ,a s a result, the answer to the given equation problem is that a carpet costs $2072.

When all of the highest powers of the variables are equal to one, an equation is said to be linear. The parts are linked together. Another name for this kind of problem is a one-degree equation. The following paragraphs will teach you how to solve a linear equation in one or two variables using the usual form, formula, graph, and directions.

Here,

Given :

50a + 12h is the floor area of a square foot.

where h is the amount of hours.

Thus.

When t=6 and a=40

So ,

the price of carpeting

=> Price = 50a plus 12h

=> Cost = 50*40 + 12*6

=> Cost = 2000 + 72

=> Cost = 2072

As a result, the answer to the given equation's problem is that a carpet costs $2072.

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Answer:

\(area = \frac{1}{2} (base)(height) \\ area = \frac{1}{2} (35cm)(12cm) \\ area = \frac{1}{2} (420 {cm}^{2} ) \\ area = 210 \: {cm}^{2} \)

The area of the triangle with height 12 cm and base 35 cm is A = 210 cm²

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the base of the triangle is AB = 35 cm

The height of the triangle is BC = 12 cm

And , the area of the triangle = ( 1/2 ) x Length x Base

On simplifying , we get

Area of the triangle A = ( 1/2 ) x 12 x 35

Area of the triangle A = ( 6 x 35 )

Area of the triangle A = 210 cm²

Hence , the area of the triangle is 210 cm²

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The number of significant digits that the product have is 3.

Significant figures are the number of digits that add to the correctness of a value, frequently a measurement. The first non-zero digit is where we start counting significant figures.

Rules for determining Significant Numbers,

Given Numbers are  \(5.2187 * 10^{-3}, 2.05 *10^{7} and 3.40 * 10^{3}\)

Now, Multiplying the given numbers,

\(5.2187 * 10^{-3}* 2.05 *10^{7} * 3.40 * 10^{3} =3.64 *10^{8}\)

So, In 3.64 *10^8, The number of significant digits is 3.

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Answer:

answer is 3

Step-by-step explanation:

The rational numbers are given as follows:

To order the rational numbers, we must convert the fractions to decimal, dividing the numerator of the fraction by the denominator.

The conversion of each number is given as follows:

Hence they are ordered as follows:

7/15, 6/10, 5/3, 25/5.

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That's correct. The rate in the portion formula can be expressed as a decimal, fraction, or percentage, depending on the context and what is most convenient for the problem being solved.

How do you calculate ratio and proportion? Ans: The ratio formula is written as a: b a/b for any two numbers. Contrarily, the percentage formula is written as a:b::c:da:b::c:da:b=cd.

An equation in which two ratios are made equal is known as a percentage. As an illustration, you could express the ratio as 1: 3 if there is 1 guy and 3 girls (for every one boy there are 3 girls) 1 out of 4 are boys, and 3/ 4 are girls.

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Answer:

90

Step-by-step explanation:

Answer:

It seems like the chat transitioned to a different topic. However, based on the search results, it appears that the query was related to solving distance problems using linear equations. One common application of linear equations is in distance problems, where you can create and solve linear equations to find the distance between two points or the rate of travel. Here's an example problem:

Joe drove from city A to city B, which are 120 miles apart. He drove part of the distance at 60 miles per hour (mph) and the rest at 40 mph. If the entire trip took three hours, how many miles did he drive at each speed?

To solve this problem, you can use a system of two linear equations. Let x be the number of miles driven at 60 mph, and y be the number of miles driven at 40 mph. Then you have:

x + y = 120 (total distance is 120 miles) x/60 + y/40 = 3 (total time is 3 hours)

To solve for x and y, you can multiply the second equation by 120 to eliminate fractions and then use the first equation to solve for one of the variables. For example:

x/60 + 3y/120 = 3 x/60 + y/40 = 3 2x/120 + 3y/120 = 3 x/60 + y/40 = 3 x/60 = 3 - y/40 x = 180 - 3y/2 (from the first equation)

Substitute the expression for x into the second equation and solve for y:

x/60 + y/40 = 3 (180 - 3y/2)/60 + y/40 = 3 3 - 3y/160 + y/40 = 3 3 - 3y/160 = 2.75 -3y/160 = -0.25 y = 20

Substitute y = 20 into the expression for x to get:

x = 180 - 3y/2 x = 120

Therefore, Joe drove 120 - 20 = 100 miles at 60 mph and 20 miles at 40 mph.

Step-by-step explanation:

The distance between the points (-1, 5) and (-7, -3) is 10 units.

The distance formula used in finding the distance between two points is expressed as;

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

Point 1 (-1,5)

Point 2 (-7,-3)​

Plug the given values into the distance formula and simplify.

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

D = √[(-7 - (-1))² + (-3 - 5)²]

D = √[(-7 + 1)² + (-3 - 5)²]

D = √[-6² + (-8)²]

D = √[36 + 64]

D = √100

D = 10

Therefore, the distance is 10 units.

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Answer:

83

Step-by-step explanation:

3x³+2y-6

x= 3 and y = 4, we will plug in what x equals to for the x value, then we will plug in what y equals to for the y value

3(3³) + 2(4) - 6

now let's use order of operations (PEMDAS: parenthesis exponent multiplication division addition subtraction)

parenthesis first

3³ = 3·3·3= 27

3(27) + 2(4) - 6

there are no exponents so we will use multiplication

3·27 = 81

2·4=8

81 + 8 - 6

83

The angle from the options given that is shown in the drawing is: D. <LIJ.

An angle is a geometric figure that is formed by two rays that share the same endpoint, called the vertex. The rays are called the sides of the angle, and the endpoint is called the vertex.

In the drawing given,  IJ and LI are two segments that have a common endpoint called vertex I.

Points L, I, and J forms an angle whose vertex is at I, as shown in the image given. Thus, the angle shown in the drawing is: D. ∠LIJ.

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Answer:

11 buses

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

Trust.

The inversion point of (4, 5) with respect to the circle x² + y² - 4x - 6y - 3 = 0 is (6, 7).

To find the inversion point of the given point (4, 5) with respect to the circle x² + y² - 4x - 6y - 3 = 0, we need to follow these steps:

Step 1: Write the equation of the given circle in standard form by completing the square for x and y: (x - 2)² + (y - 3)² = 16.

Step 2: Find the radius of the circle by taking the square root of the constant term: r = √16 = 4.

Step 3: Find the distance between the given point (4, 5) and the center of the circle (2, 3) using the distance formula: d = √[(4 - 2)² + (5 - 3)²] = √8.

Step 4: Use the formula for inversion point to find the coordinates of the inversion point (x', y'): (x', y') = (h + r²/d² * (x - h), k + r²/d² * (y - k)), where (h, k) is the center of the circle and r is the radius.

Plugging in the values, we get: (x', y') = (2 + 4²/8 * (4 - 2), 3 + 4²/8 * (5 - 3)) = (6, 7).

Therefore, the inversion point of the given point (4, 5) with respect to the circle x² + y² - 4x - 6y - 3 = 0 is (6, 7).

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Answer: 120 yds

Step-by-step explanation:

48+30+24+18+120 yds

Step-by-step explanation:

I'm assuming you mean, (-2)(-1)(-6)

This will give (-2)(-1)= +2 (-)×(-) = +

(+2)×(-6) = -12

Answer:

2

Step-by-step explanation:

Answer:

True.

Step-by-step explanation:

Combine like terms (terms with like variables and the same amount of them):

(4x + 3x) = 7x

7x + 5 = 7x + 5 (True) , ∴ 4x + 3x + 5 = 7x + 5

To factor the expression 4x^2 - 25, we can use the difference of squares formula, which states that a^2 - b^2 can be factored as (a + b)(a - b).

In this case, we have 4x^2 - 25, which can be written as (2x)^2 - 5^2. Comparing it with the difference of squares formula, we can identify that a = 2x and b = 5. Therefore, the correct option is:

b. (2x)^2 - (5)^2

Using the difference of squares formula, we can factor it as follows:

(2x + 5)(2x - 5)

Hence, the correct factorization of 4x^2 - 25 is (2x + 5)(2x - 5), which is equivalent to option b.

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