Dianelys is deciding between two truck rental companies. Company A charges an
initial fee of $20 for the rental plus $1.50 per mile driven. Company B charges an
initial fee of $40 for the rental plus $1 per mile driven. Let A represent the amount
Company A would charge if Dianelys drives a miles, and let B represent the amount
Company B would charge if Dianelys drives a miles. Graph each function and
determine the number miles driven, x, that would make the cost of each company the
same.

The mother statement is incorrect because they both can finish the work in 3.07 hours.

And the equation is x(1/8 + 1/5) = 1.

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Given:

Quinn and Mila have to clean the house.

Quinn cleans the house in 8 hours.

So, Quinn in 1 hour cleans: 1/8 part of the house.

Mila cleans the house in 5 hours.

Mila in 1 hour cleans: 1/5 part of the house

So, if they work together,

x(1/8 + 1/5) = 1

x = 40/13

x = 3.07 hours.

Their mother is incorrect.

Therefore, the equation is x(1/8 + 1/5) = 1.

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The donna's speed in miles per hour is seven miles per hour, rounded to the nearest whole number.

what is unitary method ?

A problem can be solved using the unitary method by first determining the value of a single unit, and then multiplying that value to determine the required value. Since it makes sense right away and can be performed mentally if the numbers add up, the unitary technique is frequently helpful for multiplying and dividing by fractions. This makes it a useful approach to explain or justify the often used written algorithms for fractions, particularly division by a fraction. Finding the value of a single unit, then multiplying it by the number of units to obtain the required value, is the unitary method's formula.

given

Donna runs marathons as a pacemaker. Her time to complete 26.2 miles is 3.75 hours.

In order to calculate her speed in miles per hour, we must divide the whole number of miles she ran by the total time it took her, which is,

= (26.2/3.75).

= 6.98 miles/hour.

The donna's speed in miles per hour is seven miles per hour, rounded to the nearest whole number.

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The perimeter of the shape is 26.85 inches

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference.

The shape consist of a rectangle joined with a semi circle.

Therefore the perimeter of the shape is calculated as:

7+7+ 5+ πd/2

where πd/2 is the circumference of the semi circle

= 7+7+5+(3.14× 5/2)

= 7+7+5+7.89

= 26.85 inches

therefore the perimeter of the shape is 26.85 inches

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Step-by-step explanation:

for what question ?

just in case, always remember Pythagoras

c² = a² + b²

with c being the Hypotenuse, a and b are the legs.

then there is the law of sine

a/sin(A) = b/sin(B) = c/sin(C)

a,b,c being the sides opposite of the A, B, C angles.

and as always : the sum of all angles in a triangle is always 180°.

1.

a)

angle A = 180 - 90 - 35 = 55°

a/sin(55) = 15/sin(90) = 15

a = 15×sin(55) = 12.28728066... m

b)

angle A = 180 - 90 - 25 = 65°

250/sin(65) = b/sin(90) = b = 275.8444797...

2.

a)

remember the trigonometric triangle with the up/down leg being sine (multiplied by the circle radius, which is the Hypotenuse of the triangle), and the left/ right leg being cosine (again multiplied by the Hypotenuse).

5 = 12×sin(x)

sin(x) = 5/12 = 0.416666666...

x = 24.62431835...°

b)

the same principle as for a), just now we need cosine.

12 = 15×cos(x)

cos(x) = 12/15 = 4/5 = 0.8

x = 36.86989765...°

3.

AB² = 125² + 65² = 15625 + 4225 = 19850

AB = sqrt(19850) = 140.890028... cm

angel C = 90°

125/sin(B) = 65/sin(A) = 140.890028.../sin(90)

sin(B) = 125/140.890028... = 0.887216801...

angle B = 62.52556837...°

angle A = 180 - 90 - 62.52556837... = 27.47443163...°

Answer:

c.

Step-by-step explanation:

[tex](x + 2)(x + 3) = 12 \\ {x}^{2} + 5x + 6 = 12 \\ {x}^{2} + 5x - 6 = 0 \\ (x + 6)(x - 1) = 0 \\ x = - 6 \: or \: x = 1[/tex]

The reasons for the proof are shown in the explanation below.

A transversal is straight line that intersect two parallel lines, thus producing a set of angles with some common properties.

The reasons for the proof required in the question are explained in the table below:

          STATEMENT                                    REASON

1. AB II DC ; m<BCD + m<BEF = 180^o      Given

2. <3 ≅ <1                                                    Corresponding angle theorem

3. <4 + <5 = 180^o                                      Definition of supplementary angles

4. <3 ≅ <5                                                   Vertical angle property

5. <5 ≅ <2                                                   Corresponding angle theorem

6. <3 ≅ <2                                      Corresponding property of vertical angles

7. BC II EF                                                   Definition of parallel lines

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By calculating the value of x is 60 degrees from the given figure.

What is triangle ?

triangle can be defined in which it consists of three sides , three angles and sum of the angles is 180 degrees

Given,

in the figure,

A = 90

B = x

C = 180 - (2x+30 )

C = 150 - 2x

So, in a triangle

we know that ,

sum of the angles = 180

A + B + C = 180

90 + x + 150 - 2x = 180

240- x = 180

x = 240 - 180

x = 60

Hence, By calculating the value of x is 60 degrees from the given figure.

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The value of the variables that make the matrix equation true are x = 5/7, y = 4/9 and z = 13/5.

A matrix is a rectangular array or table of numbers, symbols, or expressions that are organized in rows and columns to represent a mathematical object or an attribute of such an object in mathematics.

For instance, consider a matrix with two rows and three columns.

We are given the matrix as;

{8 0 0} = { 7x+3 0 0 }

{ 0 8 0} = { 0 9y-4 0 }

{ 0 0 8} = { 0 0 5z-5}

So, we have 7x + 3 = 8

7x = 5

x = 5/7

Also, 9y-4 = 8

9y = 4

y = 4/9

5z - 5 =8

z = 13/5

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Answer:(−∞,4],{x|x≤4}

Step-by-step explanation: Find the domain by finding where the equation is defined.

Detailed explanation and solution is available in the photo. I wish you success. If there is something you do not understand, please do not hesitate to ask :)

On solving the provided question, we can say that we have an equation, xy = 8 => x = 8/y; if x increases then y decreases, so it's a inverse variation

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

here,

we have an equation, xy = 8

x = 8/y

if x increases then y decreases, so it's a inverse variation

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The total surface area of the hexagonal pyramid is 237.5 in²

An equation is an expression showing the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on depending on the degree.

The surface area of a solid figure is gotten by adding all the individual surfaces area.

Given the hexagonal pyramid with base of 6 inches and the each isosceles triangle has a height of 8 inches. Hence:

Area of pyramid base = 93.5 in²

The lateral face have 6 triangles faces, hence:

Area of each lateral face = 1/2 * base * height = 0.5 * 8 * 6 = 24 in²

Total area of lateral face = 6 * 24 in² = 144 in²

Total surface area = 144 in² + 93.5 in² = 237.5 in²

The surface area is 237.5 in²

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On solving the provided question, we can say that the coordinates are

(2, 1), (6, 3);  the slope of the line m = 1/2

A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is represented by the second number. like in (12.5), when there are 12 units below and 5 above.

here, the coordinates are

(2, 1), (6, 3)

so, the slope of the line

3-1 = m(6-2)

2 = 4m

m = 1/2

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Answer:

a)  x = 11

If a transversal line intersects two parallel lines, then the resulting alternate exterior angles are congruent.

b)  x = 7

If a transversal line intersects two parallel lines, then the resulting same-side exterior angles are supplementary.

Step-by-step explanation:

Alternate Exterior Angles Theorem

If a transversal line intersects two parallel lines, then the angles that are exterior to the parallel lines and on the opposite side of the transversal line are congruent.

If a transversal line intersects two parallel lines, then the resulting alternate exterior angles are congruent.

[tex]\implies (4x+1)^{\circ}=45^{\circ}[/tex]

[tex]\implies 4x+1=45[/tex]

[tex]\implies 4x=44[/tex]

[tex]\implies x=11[/tex]

Same-side Exterior Angles Theorem

If a transversal line intersects two parallel lines, then the angles that are exterior to the parallel lines and on the same side of the transversal line are supplementary.

If a transversal line intersects two parallel lines, then the resulting same-side exterior angles are supplementary.

[tex]\implies (9x+2)^{\circ}+(17x-4)^{\circ}=180^{\circ}[/tex]

[tex]\implies 9x+2+17x-4=180[/tex]

[tex]\implies 9x+17x+2-4=180[/tex]

[tex]\implies 26x-2=180[/tex]

[tex]\implies 26x=182[/tex]

[tex]\implies x=7[/tex]

Note that 7 percent of Robert's Salary goes toward commissions.

Let's call the amount of Roberto's salary that goes towards commissions x.

First, we can calculate the total amount of Roberto's benefits:

($25,000 * 15%) + ($25,000 * 10%)

= $3,750 + $2,500

= $6,250

Next, we can subtract the benefits from Roberto's total salary to find the amount that goes towards commissions:

$33,000 - $25,000 - $6,250

= $1,750

Thus,  the percentage of Roberto's salary that goes towards commissions is:

$1,750 / $25,000 = 7%

It is correct to state, therefore, that 7% of Roberto's salary goes towards commissions.

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Y-intercept of g(x) at (0,2) therefore correct option is D

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable is called a function.

Given is a function f(x) = 2ˣ

g(x) = 2f(x) = 2(2ˣ)

The y-intercept of g(x) = 2f(x),

Substitute in 0 for x and solve for y

y=2(2⁰)

Anything raised to 0 is 1.

y=2

Y-intercept in point form.

Hence, y-intercept of g(x) : (0,2)

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The resulting polynomial is 3x³ - 18x² + 3x.

What is the polynomial?

A polynomial is defined as an expression that is composed of variables, constants, and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication, and division (No division operation by a variable).

3x(x² - 6x + 1) = 3x³ - 18x² + 3x.

This is a polynomial of degree 3. The coefficient of the x³ term is 3, the coefficient of the x² term is -18, and the coefficient of the x term is 3.

This is the product of two polynomials. The first one is 3x and the second one is (x² - 6x + 1).

When multiplying two polynomials, we distribute the coefficient of each term from the first polynomial to each term of the second polynomial and then add the results.

Hence, the resulting polynomial is 3x³ - 18x² + 3x.

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We must identify the function N in order to determine the number of plants in the pond after time t. (t). N(t) = 150 + 450*t = 1,050 + 2,450*t = 3,750*t As a result, there are 3,750 plants in the pond at time t.

We must identify the function N in order to determine the number of plants in the pond after time t. (t).

Using the data in the table, solve this problem to determine the numerical values of a and b.

Write the equation N(t) for the case where t = 0:

N(0) = 150 = ab0

Anything multiplied by the zeroth power is equal to one. So:\s 150 = a.

Nice! Halfway there, I suppose.

Let's now write N(1) while keeping in mind that a = 150:

N(1) = 450 = 150b1

For b, use the formula 450/150 = b 3 = b.

Having established that a and b are equal, we can formulate the equation for N(t) as follows:

N(t) = 150 · 3t

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To solve this problem, we need to use the formula:

time = work / rate, by using the formula we can say it will take Carmen 0.6 hours to plow 2.1 acres of land.

A rate is a unique ratio where the two words are expressed in several units. For instance, the price is 69 for 12 ounces if a 12-ounce can of maize costs 69. This is not a proportion of two comparable units, like shirts. Cents and ounces are the two dissimilar units in this ratio.

where time is the amount of time it takes to do a certain amount of work, work is the amount of work that needs to be done, and rate is the amount of work that can be done in a certain amount of time.

In this case, the work is 2.1 acres of land, the rate is 3.5 acres per hour, and we need to find the time. So we can plug in the given values into the formula and get:

time = 2.1 / 3.5

time = 0.6 hours

So it will take Carmen 0.6 hours to plow 2.1 acres of land.

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When assets declined by $95,000 and liabilities decreased by $29,000 from December 31, 2003 to December 31, 2004, there was a decrease of $124,000.

The device process is a method for addressing issues that entails first figuring out the price of a single unit, then multiplied a certain value to figure out the features offered. Simply put, the unit method is employed to obtain a single unit variable from a multitude that is passed. For example, 40 markers would cost 400 lakhs, which is equal to the cost than one pen. This procedure could follow a regular procedure. a single nation. anything has a distinct identity. Its adjoint and opposite are similar in terms of maths, algebra, mathematical physics, applied mathematics, or math of matrices or operators.

given

assets fell $95,000 in value.

liability reduction of $29,000

= $124000 lessening ($95,00 + $29,000)

When assets declined by $95,000 and liabilities decreased by $29,000 from December 31, 2003 to December 31, 2004, there was a decrease of $124,000.

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In slope intercept form is 15.When the line to be examined's slope is known, and the provided point also serves as the y intercept.

When the line to be examined's slope is known, and the provided point also serves as the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b). B stands in for the y value of the y-intercept point in the formula.

In slope intercept form, y=mx+b, or in your instance, c=mx+b, where b=15, x=number of movies, and b=2 dollars per CD, so C=2x+15 so that the C intercept is when x=0, so set x to 0 and get 2(0)+15=C 0+15=C C=15 Cintercept=15 slope=m thus slope=2 C intercetp=15 so that.

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Answer: The graph of the equation y = 1/3x - 1 represents a nonlinear function. A nonlinear function is a function that is not a linear function, which means that the graph of the function is not a straight line. In this case, the equation y = 1/3x - 1 can be graphed and will not be a straight line, which means it is nonlinear. Additionally, the equation has an x in the denominator which is an indication that the function is nonlinear.

Step-by-step explanation:

Answer: 90 Ns

Step-by-step explanation:

The impulse given to a 3 kg ball can be calculated by using the equation impulse = mass x change in velocity. In this case, the impulse would be:

impulse = 3 kg x 30 m/s = 90 Ns

So the impulse given to a 3 kg ball if its velocity increases by 30 m/s is 90 Ns

It's important to note that the impulse is a vector quantity and it's a measure of how much momentum is transferred to an object during a collision. In this case, the impulse is acting in the same direction as the change in velocity.

Answer:

use the calculator

Step-by-step explanation:

that is for they event the calculator

The true statements are

b. The equation y = 0.65x could be used to determine the cost of x pounds of bananas.

c. The cost of Seven pounds of bananas is $4.55.

To calculate the cost of 1 pound of bananas divide the given cost by the given number of pounds. By calculating 1 pound we can determine the cost of 'x' pounds and seven pounds as explained below.

Here we have

Three pounds of bananas cost $ 1.95

Cost of 1 pound of banana = 1.95/3 = $ 0.65    

The cost of 1 pound banana = $ 0.65  

If the cost of 1 pound banana = $ 0.65

The equation that can represent the cost of 'x' pounds of banana

=>  y = x(0.65)  

=>  y = 0.65x

Cost of seven pounds of bananas can be calculated as

Cost of seven pounds of bananas = 7 × $ 0.65 = $ 4.55  

Therefore,

The true statements are

b. The equation y = 0.65x could be used to determine the cost of x pounds of bananas.

c. The cost of Seven pounds of bananas is $4.55.

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Answer:

Step-by-step explanation:

answer is D my friend.

Answer:

1

Step-by-step explanation:

(6+7)/(10+3)=1

Answer:

40 inches

Step-by-step explanation:

to find the actual model, you should apply the scale to the real length

2/5 * 100 = 200/5 = 40

A number is divsible by 5  if the last two digits  form a number divisible by 5

Determine all values of d that make the statement true?

The last two digits form the number 5d .There are one  digit numbers that start with 5 and is divisible by 5 which are 35 .Hence there are only one value for d:

since 35÷5=7

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Answer:

[tex]-27[/tex]

Step-by-step explanation:

[tex]5(x+3)=4(x-3) \\ \\ 5x+15=4x-12 \\ \\ x+15=-12 \\ \\ x=-27[/tex]