Nate is looking for a repair service for general household maintenance. One
service charges $75 to join the service and $30 per hour. Another service charges
$15 to join the service and $40 per hour. After how many hours of service is the
total cost for the two services the same?

The correct answer is false.

A rational number also includes the sum of two rational numbers.

a/b-c/d=ad-bc/bd

Since a/b and c/d are integers, and we know that a, b, c, and d are all rational numbers. Since ad and bc are both integers under our rule, it follows that ad - bc is also an integer. As a result, our rule states that ad, bc, and bd are all integers. As a result, we know that ad - bc and bd are integers and that the difference between two rational numbers is a number of the type a/b-c/d=ad-bc/bd is the precise definition of a rational number, where ad - bc and bd are integers. Thus, we may conclude that a rational number is the difference between two rational numbers.

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Answer: option c

Step-by-step explanation:

hope this helps

Answer:

8.

Step-by-step explanation:

Using Order of operations PEMDAS.

Arithmetic operations are done in the following order:

Parentheses, Exponents, Multiply, Divide, Add, Subtract.

So, we have:

-18 - 7(-10 + 8) + 12

= -18 - 7 * -2 + 12

= -18 + 14 + 12

= -4 + 12

= 8.

Dimensions of new rectangle after getting scaled by factor of 5 are 10cm by 15cm. Option  (B) is correct.

What is scale factor?

In two similar geometric figures the ratio of their corresponding side is scale factor let the old dimension be x and scale  factor be a then new dimension will be a*x

If a>1 then their will be enlargement in the geometric figures

Given that rectangle that is 2 cm by 3 cm has been scaled by a factor of 5

It means scale factor be 5

New dimensions of given rectangle will be found by multiplying by 5

New length and breadth are 2*5=10

                                               3*5=15

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Answer:

5

Step-by-step explanation:

we just have to see the units to determine the terms

the terms are, a², ab, b, b², 1 has no terms, but imagine it as [tex]x^{0}[/tex]

Mark me brainliest if it helped

The proof of the given algebra equation is; x = -40

We are given the algebra equation as;

(8 - 3x)/4 = 32

Using multiplication property of equality, multiply both sides by 4to get;

8 - 3x = 128

Using subtraction property of equality, subtract 8 from both sides to get;

-3x = 120

Using division property of equality, divide both sides by -3 to get;

x = -40

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In function  , 12 is the value of)f(6).

What does a math function mean?

f(1) = 2 and f(n) = f(n -1) + 2

f(1) = 2

f(2) = f(2 - 1) + 2 = f(1) + 2 = 2 + 2 = 4

f(3) = f(3 - 1) + 2 = f(2) + 2 = 4 + 2 = 6

f(4) = f(4 - 1) + 2 = f(3) + 2 = 6 + 2 = 8

f(5) = f(5 - 1) + 2 = f(4) + 2 = 8 + 2 = 10

f(6) = f(6 - 1) + 2 = f(5) + 2 = 10 + 2 = 12

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Answer:

choice 2,5,6

Step-by-step explanation:

Answer:

i took it like 2 years ago. i think its MNP, N, 1, and PNM?

Answer: Coordinate (1,-3) and m = 3/4

Step-by-step explanation:

(i) - So context, the equation is y + 3 = 3/4(x - 1)

According to the solving the distance between two points is:

= 14.77

In coordinate geometry, the distance formula is used to calculate the actual distance between two points. The formula for calculating the distance between two locations (x1,y1) (x 1, y 1) and (x2,y2) (x 2, y 2) is D=(x2x1)2+(y2y1)2 D = (x 2 x 1) 2 + (y 2 y 1) 2.

The length of a line segment seems to be the distance between two locations. Congruent segments are those with the same length. By drawing a line with a ruler, we may compute the approximate distance between two points.

Given points: (-4, 6) and (3, -7)

X₁ = -4
Y₁ = 6
X₂ = 3
Y₂ = -7

We know that the distance between two points:

distance = √((x₂ - x₁)²+(y₂ - y₁)²)

              = √((3 - (-4))²+((-7) - 6)²)

              = √((3 + 4)²+(-13)²)

              = √((7)²+(-13)²)

              = √((49)+(169))

              = √(218)

             = 14.77

According to the solving the distance between two points is:

= 14.77

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Answer: x = -1, 15

Step-by-step explanation:

15 = x²- 14x

⇒ x²- 14x-15 = 0

⇒  x²- 15x+x-15 = 0

⇒ x (x-15) + (x-15) = 0

⇒ (x-15) (x+1) = 0

Now,

x= -1, 15

Answer: 23 x 10,000

Step-by-step explanation:

23 multiplying with 10,000

you will get 230,000

Answer:

23 * 10000 or 23 * [tex]10^{4}[/tex]

Step-by-step explanation:

23 * 10000 or 23 * [tex]10^{4}[/tex]

Answer: 102

Step-by-step explanation:

[tex]x=-2\ \ \ \ \ y=4\\\\8x^2-xy+y^2-xy^2+14=\\\\8(-2)^2-(-2)(4)+(4)^2-(-2)(4)^2+14=\\\\8(-2)(-2)-(-8)+(4)(4)-(-2)(4)(4)+14=\\\\32+8+16+32+14=\\\\102[/tex]

Answer:

Step-by-step explanation:

6x - 32 = 4x + 16

2x - 32 = 16

2x = 48

x = 24

6(24) - 32 = 144 - 32 = 112

4(24) + 16 = 96 + 16 = 112

She has  27 quarters and 73 dimes.

Write a system of equations.

Let x be the number of quarters, and y be the number of dimes.

x+y=100

0.25x+0.10y=14.05

Solve by substitution:y=100−x

∴0.25x + 0.10(100 - x) = 14.05

0.25x+10−0.10x=14.05

0.15x+10=14.05

0.15x=4.05

x=27

Solve for y now:

y+27=100

y=100−27

y=73

Hence, She has 27 quarters and 73 dimes.

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. The meanings of the word equation and its cognates in various languages can vary slightly. For instance, in French, an equation is defined as having one or more variables, whereas, in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign.

Finding the values of the variables that cause the equality to hold true is the first step in solving an equation with variables. The unknown variables are also known as the variables for which the equation must be solved, and the unknown variable values that fulfill the equality are known as the equation's solutions. Equations come in two varieties: identities and conditional equations.

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Answer:

What's the question?

Step-by-step explanation:

Answer:

Hi, here are the remaining values in order.

The surface area of the sandbox assuming there is no lid is 21.3 feet

From the question, we are to determine the surface area of the sandbox

From the given information,

The dimension of the box is 3 feet by 4 feet

Thus,

Length = 4 feet

Width = 3 feet

and

The depth of the box is 8 inches

That is,

Height = 8 inches = 8/12 feet

Height = 2/3 feet

Now,

Using the formula for the surface area of a box

Surface area = (2lw + 2lh + 2wh)

If there is no lid,

The surface area becomes

Surface area = (lw + 2lh + 2wh)

Thus,

Surface area = (4×3 + 2×4×2/3 + 2×3×2/3)

Surface area = (12 + 16/3 + 4)

Surface area = (12 + 5.3 + 4)

Surface area = 21.3 feet

Hence, the surface area of the sandbox assuming there is no lid is 21.3 feet

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Answer:

bhe ganyan din

akin

Step-by-step explanation:

please help us

Using a system of equations, it is found that there were 3 associates and 5 partners assigned to the case.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the variables are given as follows:

The firm assigned a total of 8 lawyers to the case, hence:

x + y = 8

x = 8 - y.

The firm was able to charge the client $6500 per day for these lawyers' services, hence, considering the costs:

500x + 1000y = 6500.

Since x = 8 - y, we have that:

500(8 - y) + 1000y = 6500.

500y = 2500

y = 5.

x = 8 - 5 = 3.

The firm assigned 3 associates and 5 partners to the case.

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The ratio of the largest element of the set to the sum of the other ten elements of the set is closest to which integer.

A ratio in mathematics describes how many times one number is contained in another. For instance, the ratio of oranges to lemons in a dish of fruit is eight to six if there are eight oranges and six lemons (that is, 8:6, which is equivalent to the ratio 4:3). Similarly, the ratio of oranges to the total amount of fruit is 8:14, while the ratio of lemons to oranges is 6:8 (or 3:4). (or 4:7).

The quantities in a ratio can be of any kind, such as counts of people or things, measures of lengths, weights, or times, etc. Both numbers must be positive in the majority of situations.

Explanation:

The requested ratio is[tex]\[\dfrac{10^{10}}{10^9 + 10^8 + \ldots + 10 + 1}.\][/tex]

Using the formula for a geometric series, we have[tex]\[10^9 + 10^8 + \ldots + 10 + 1 = \dfrac{10^{10} - 1}{10 - 1} = \dfrac{10^{10} - 1}{9},\][/tex]

which is very close to [tex]$\dfrac{10^{10}}{9},$[/tex] so the ratio is very close to 9.

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Using a linear function, we have that:

A linear function is modeled by:

y = mx + b

In which:

For the cost function, we have that:

Hence the function is:

C(x) = 29 + 1.41x.

The recommended monthly bill for a household is between $54 and $82 dollars per month, hence the inequality is given by:

54 ≤ C(x) ≤ 82.

The bounds of the range will be found as follows:

29 + 1.41x = 54

x = (54 - 29)/1.41

x = 17.7.

29 + 1.41x = 82

x = (82 - 29)/1.41

x = 37.6.

Hence the correct option is:

To stay within the range, the usage should be between 17.7 and 37.6 HCF.

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well, we can say that the function will be y = (50% of "x") - 8.

wait a minute! what's the 50% of "x" anyway?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{50\% of x}}{\left( \cfrac{50}{100} \right)x}\implies 0.5x~\hfill {\LARGE \begin{array}{llll} g=0.5x - 8 \end{array}}[/tex]

It should be noted that angles formed when two parallel are intersected by a common transversal include, corresponding, alternate interior and exterior, same-side interior, and vertically opposite angles

Also, the correct option is Same–Side Int. ∠s Thm. m∠1 = 30°, m∠5 = 150°

m∠1 + m∠5 = 180°

Which gives;

(30·x - 30)° + (40·x + 70)° = 180°

(70·x + 40)° = 180°

70·x = 180° - 40° = 140°

70x = 140

x = 140/70

x = 2

m∠1 = (30·x - 30)° = (30 × 2 - 30)° = 30°

m∠1 = 30°

m∠5 = (40·x + 70)° = (40 × 2 + 70)° = 150°

m∠5 = 150°

The correct option is therefore same-Side Int. ∠s Thm. m∠1 = 30°, m∠5 = 150°

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Identify the theorem or postulate that is related to the measures of the angles in the pair, and find the unknown angle measures.

m∠1=(30x−30)∘, m∠5=(40x+70)∘

Alt. Int. ∠s Thm.

m∠1 = 30°, m∠5 = 150°

Alt. Int. ∠s Thm.

m∠1 = 30°, m∠5 = 30°

Same-Side Int. ∠s Thm.

m∠1 = 30°, m∠5 = 150°

Same-Side Int. ∠s Thm.

m∠1 = 150°, m∠5 = 30°

Basically, a sequence is a function whose domain is set of natural numbers and co-domain is set of real numbers.

Function:

A function relates each element of a set with exactly one element of another set (possibly the same set)

Real numbers:

Real numbers can be defined as the union of both rational and irrational numbers. They can be both positive or negative and are denoted by the symbol “R”.

Domain

Domain is the set of all possible inputs of a function.

Co - Domain:

Co - domain is the set of its possible outcomes or results.

Unlike a set, the same elements can appear multiple times at different positions in a sequence, and unlike a set, the order does matter. Formally, a sequence can be defined as a function from natural numbers (the positions of elements in the sequence) to the elements at each position.

That's why, every sequence must be the function itself.

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10 boxes will be required by the printing company

Company can fit 7000 calendars in 1 box

7000 calendars = 1 box

1 calendar = 1/7000

70000 calendar = 1/7000 * 70000

= 10 boxes

10 boxes will be required by the printing company

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Answer:

589

Step-by-step explanation:

to find the area of a rectangle it is length x width

19 is your length

31 is your width

19 x 31 = 589

be sure that in your final answer you put in your units (e.g.[tex]cm^{2}[/tex] )

hoped this helped xx

Answer:

RS = 33

Step-by-step explanation:

from the number line

RT = RS + ST ( substitute values )

46 = RS + 13 ( subtract 13 from both sides )

33 = RS

Answer:

RS = 33

Step-by-step explanation:

Given that,

→ ST = 13

→ RT = 46

Then the value of RS will be,

→ RS + ST = RT

→ RS + 13 = 46

→ RS = 46 - 13

→ [ RS = 33 ]

Hence, the value is 33.

The value of x = 2.

Three points of collinear are A, B, and C. Here point B is between A and C.

The properties of collinear point are,

a>The slope of AB is equal to the slope of BC,

b>Line AB + BC = AC

c>The area is equal to 0.

As the three points are collinear, and from the second property we have

AB + BC= AC

Where, AB = 4x + 3

            BC = 3x + 2

So we have,

(4x + 3) + (3x + 2) =19

7x + 5=19

7x = 14

x=2

Therefore we get the value of x =2.

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Answer:

G(x)=-9 when x=5

Step-by-step explanation:

Replace X with 5

3x -x^2+1 becomes 3*5-5^2+1

Then solve

15-25+1=-9