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?

To cover a 75.2 square foot wall, approximately 7.52 gallons of paint will be needed. This can be determined using proportional relationship , unit conversion and cross-multiplication to solve the given problem.

To solve the problem of determining how many gallons of paint will cover a 75.2 square foot wall, we can consider the following three strategies:

1. Proportional relationship: We can establish a proportional relationship between the amount of paint and the area of the wall. In this case, the ratio of gallons of paint to square feet of wall area is constant.

Using this ratio, we can set up a proportion: 4 gallons / 40 square feet = x gallons / 75.2 square feet. Solving this proportion will give us the required amount of paint.

2. Unit conversion: Since we know that 4 gallons of paint cover 40 square feet, we can calculate the amount of paint needed per square foot.

Dividing 4 gallons by 40 square feet gives us the rate of 0.1 gallons per square foot. Multiplying this rate by the area of the 75.2 square foot wall will give us the required amount of paint.

3. Direct ratio: We can also solve this problem by using a direct ratio. The ratio of square feet between the two walls is 75.2 square feet / 40 square feet.

We can set up a direct ratio with the amount of paint needed as the unknown: 4 gallons / 40 square feet = x gallons / 75.2 square feet. Solving this ratio will give us the amount of paint required.

Using any of these three strategies, we can determine the number of gallons of paint needed to cover the 75.2 square foot wall.

To determine the number of gallons of paint needed to cover a 75.2 square foot wall, we can use the concept of proportionality.

Let x represent the unknown number of gallons of paint needed to cover the 75.2 square foot wall. The proportion can be set up as follows:

4 gallons / 40 square feet = x gallons / 75.2 square feet

To solve this proportion, we can use cross-multiplication:

4 * 75.2 = 40 * x

300.8 = 40x

Dividing both sides by 40, we find:

x = 300.8 / 40

x ≈ 7.52 gallons

Therefore, approximately 7.52 gallons of paint will cover the 75.2 square foot wall.

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Answer:

2, 10, 50, 250

Step-by-step explanation:

Using the formula with a₁ = 2 , then

a₂ = 5a₁ = 5 × 2 = 10

a₃ = 5a₂ = 5 × 10 = 50

a₄ = 5a₃ = 5 × 50 = 250

The first 4 terms are 2, 10, 50, 250

Answer:

(5, - 1 )

Step-by-step explanation:

Given the 2 equations

y = - 5x + 24 → (1)

y = 4x - 21 → (2)

Substitute y = 4x - 21 into (1)

4x - 21 = - 5x + 24 ( add 5x to both sides )

9x - 21 = 24 ( add 21 to both sides )

9x = 45 ( divide both sides by 9 )

x = 5

Substitute x = 5 into either of the 2 equations and evaluate for y

Substituting into (2)

y = 4(5) - 21 = 20 - 21 = - 1

solution is (5, - 1 )

Yes, there is a correlation between these measures. The higher the placement exam score, the higher the student's score on their first exam tends to be. For example, students with placement exam scores of 11 and 49 had first exam scores of 27 and 71 respectively, indicating that the higher the placement exam score, the higher the first exam score.

A measure in mathematics is a generalization of the ideas of length, area, and volume. Measures are sometimes referred to as "mass distributions" informally. A measure, in more exact terms, is a function that gives numbers to particular subsets of a given set. This quantity is described as the set's measure.

To measure length or distance, this system employs inches, feet, yards, and miles. Volume or capacity are expressed in fluid ounces, cups, pints, quarts, or gallons. In ounces, pounds, and tons, weight or mass is expressed.

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Answer:

make the number into a fraction and you can find the answer

Step-by-step explanation:

Answer:

9 feets

Step-by-step explanation:

From the question, we have our scale factor as:

4:9 = 4/9

Smaller circle /Bigger circle = 4/9

A circle has a radius of 4 feet. What is the radius of a bigger circle?

Let the radius of the bigger circle = x

This is calculated as:

4/9 = 4/x

Cross Multiply

4x = 9 × 4

x = 36/4

x = 9 feet

Therefore, the radius of the bigger circle is 9 feet

The completed two column table in the question showing that the measure of the angle m∠GKB = 120° can be presented as follows;

Statement \({}\)                                                Reason

\(\overline{AB}\) || \(\overline{EF}\)         \({}\)                                          Given

m∠ELJ = 120°

m∠ELJ + m∠ELK = 180°     \({}\)                        Linear pair Postulate

m∠BKL + m∠GKB = 180°   \({}\)                        Linear pair Postulate

m∠ELJ + m∠ELK = mBKL + m∠GKB  \({}\)      Transitive property

∠ELK ≅ ∠BKL                         \({}\)                   1. Alternate Interior Angles

m∠ELK = m∠BKL \({}\)                                      2. Definition of congruent angles

m∠ELJ + m∠ELK = m∠ELK + m∠GKB\({}\)      Substitution property

m∠ELJ = m∠GKB\({}\)                                      Subtraction property

m∠GKB = m∠ELJ \({}\)                                     Symmetric property

m∠GKB = 120° \({}\)                                          Substitution

An angle is the figure formed at the point of intersection of two rays that have the same starting point. The parts of an angle includes; The vertex, which is the point of intersection of the rays, and the sides or arms of the angle, which are the two rays forming the angle.

The details of the the statements that completes the above table used to prove the measure of the angle m∠GKB = 120° are as follows;

Alternate interior angles theorem

The alternate interior angles theorem states that the alternate interior angle formed by the two parallel lines and their shared transversal are congruent.

Definition of congruent angles

Congruent angles are angles that have the same measure.

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The number of polynomials that can be formed with -2 and 5 as zeroes are more than 1.

What is a polynomial?

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.x² -3x - 7 is an illustration of a polynomial with a single indeterminate x.

Given that the zeros of a polynomial are -2 and 5.

The polynomial that has a and b as zeors is p(x) = k[x² + (a+b)x + ab].

where k is a real number.

The polynomial that has -2 and 5 zeros is

p(x) = k[x² + (-2 + 5)x + (-2)×5]

p(x) = k[x² + 3x - 10]

Where k is a real number.

The number of real numbers is infinity.

The number of polynomials is infinity.

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Answer:The rule for a rotation by 270° about the origin is (x,y)→(y,−x) .

YOUR ANSWER IS B

Step-by-step explanation:

Answer:

Step-by-step explanation:

you rotate it two times to the left or right your answer will be b

To deduce if two line segments are parallel, we need to examine their corresponding angles. Therefore,  "none." is correct.

According to the information given, we have a missing value represented by m7. To find if any line segments are parallel, we can use the following rules:

1. If two lines are intersected by a transversal, and corresponding angles are congruent, then the lines are parallel.

2. If two lines are intersected by a transversal, and alternate interior angles are congruent, then the lines are parallel.

3. If two lines are intersected by a transversal, and alternate exterior angles are congruent, then the lines are parallel.

Let's consider each statement one by one:

Statement 1: m7 = 90 degrees. This statement represents a right angle. However, knowing that one angle is right does not provide enough information to deduce the lines' parallelism.

Statement 2: m7 = 135 degrees. This statement represents an angle greater than 90 degrees. Similarly, having this information alone is insufficient to deduce the lines' parallelism.

Statement 3: m7 = 45 degrees. This statement represents an angle less than 90 degrees. Again, having this information alone is not enough to deduce the lines' parallelism.

Given the information provided, we cannot deduce the parallelism of any line segments. Therefore,  "none." is correct.

In summary, without additional information about the relationships between angles formed by the line segments, we cannot determine whether the line segments are parallel or not.

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Answer:

the answer is -10 -10+5=-5

Answer:

-93

Step-by-step explanation:

Answer:

a).  2 and -6

your welcome!!!

The stress (σ) for n = 100 is approximately 333.33 MPa.

The stress (σ) for n = 103 is also approximately 333.33 MPa.

To calculate the stress (σ) for n = 100 and 103 using the given Sut (ultimate tensile strength) and Fsut (factor of safety for ultimate tensile strength), we can use the formula:

σ = Sut / Fsut

Let's assume the given values of Sut and Fsut are as follows:

Sut = 500 MPa (megapascals)

Fsut = 1.5 (dimensionless)

For n = 100:

Plugging in the values into the formula, we get:

σ = Sut / Fsut

= 500 MPa / 1.5

≈ 333.33 MPa

So, the stress (σ) for n = 100 is approximately 333.33 MPa.

Similarly, for n = 103:

Using the same formula with the given values of Sut and Fsut:

σ = Sut / Fsut

= 500 MPa / 1.5

≈ 333.33 MPa

So, the stress (σ) for n = 103 is also approximately 333.33 MPa.

Please note that these calculations are based on the given values of Sut and Fsut, and the units are assumed to be in megapascals (MPa) as per the given formula.

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Answer:

1:2

Step-by-step explanation:

Answer:

please continue i'm facinated on were this story goes

Step-by-step explanation:

From the graph, the correct options are given as,
B. Mia left her house 10 minutes before Erick left his house.
D. Erick and Mia arrived at the park at the same time.
E. Erick walked the same distances as Mia during the last 10 minutes.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,
The graphs show their distances from home over the same 30-minute period as they walked to the park.
From the graph,
It can be concluded that,
Both reach the park at the same time, as the termination point of the curve is the same.
The graph of mia starts after 10 minutes Erick, which implies Mia left her house 10 minutes before Erick left his house. And Erick walked the same distances as Mia during the last 10 minutes as the slope of the last segment of both curves is the same.

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The mathematical comparison of your experimental results to a known value is known as Percentage error.

According to the statement

We have to tell the term about the experimental value and the known value comparison.

So, For this purpose, we know that the

when we compare the known value with the comparison va;ue and by this way we find the percentage error.

So,

Percent error is the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage.

And by this way we find that the experimental value is correct or not.

Because when the percentage error is increased then experimental value stated as false values.

So, The mathematical comparison of your experimental results to a known value is known as Percentage error.

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Expression which represents the amount of money spend by each woman is equal to [ 9 + 1.35 + (one- half)(3.50 + 1.74)].

As given in the question,

Condition for the expression:

Sally and Anne both went for a movie.

Each one purchased a drink.

Shared one popcorn and one veggie bought by them.

Consider movie ticket price = 9

drink price = 1.35

Popcorn price = 3.50

Veggie price = 1.74

Explanation for different expressions are:

1. one-half (9 + 1. 35 + 3. 50 + 1. 74)

Here sum of all the amount is divided equally, which is not correct as movie ticket and drink they have purchased individually.

2.  9 + 1. 35 + one-half (3. 50 + 1. 74)

This is correct option as it represents :

Movie ticket price = 9

Drink = 1.35

one-half (3. 50 + 1. 74) = one popcorn and one veggie divided equally.

3. 18 + 2. 70 + one-half (3. 50 + 1. 74)

As per consideration of price this is not correct option.

Movie ticket price =18

Drink = 2.70

one-half (3. 50 + 1. 74) = one popcorn and one veggie divided equally.

4. 9+1. 35+2(3. 50+1. 7)

This is not correct option as popcorn and veggie price is doubled.

Therefore, expression which represents the amount of money spend by each woman is equal to [ 9 + 1.35 + (one- half)(3.50 + 1.74)].

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Answer:

commutative and zero product properties

The sides are 3, 5, and 7 because 7 is less than 3 + 5, so it equals a triangle.

The smallest possible perimeter of such triangle would be 8.

Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.

Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,

\((a+b) > c\\(b+c) > a\\(c+a) > b\)

Given; 3 sides of the triangle are consecutive odd numbers.

The sides are 3, 5, and 7 because 7 is less than 3 + 5 so it equals a triangle.

The smallest consecutive odd numbers are 1, 3 and 5

Therefore, the smallest possible perimeter of such triangle = 8

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Answer:

the first one i think

Step-by-step explanation:

-3 is the y-intercept and that i all i got, sorry :(

Answer:

Its the first one! <3

Answer:

\(\dashrightarrow \: { \rm{28(y - \frac{1}{7}) }} \\ \\ \dashrightarrow \: { \rm{28y - \frac{28}{7} }} \\ \\ \dashrightarrow \: { \tt{28y - 4}}\)

The sum of two numbers is 18.

Let greater number be x and lesser number be y.

It is given that two times the greater number equals the sum of 4 times the lesser number and 6

Hence the correct option is b.

Answer:

d

Step-by-step explanation:

it is 4/5ths of the answer towards one and the only other likely answer would seem as though b but b=9/10ths so D.

Answer: the answer is choice d .

Step-by-step explanation: as 4 over 5 is 0.8 which is less than one on a number line . It is close to one but ofcourse lesser . HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .

Answer: -2, -4, -1

Step-by-step explanation:

\(17-7x > 3(10x-4)+61\\\\17-7x > 30x-12+61\\\\17-7x > 30x+49\\\\-32 > 37x\\\\x < -\frac{32}{37}\)

So, the values of x are -2, -4, -1.

using standard z value, 20% of sandwiches are less than 10.58 inches.

In the given question,

Subway sells foot long sandwiches that have a mean of 11 inches and a standard deviation of 0.5 inches.

20% of sandwiches are less than...............inches.

The cumulative standardized normal distribution table indicates a z value of -0.84 for 20%.

From the question we know that

Mean(μ) = 11 inches

Standard Deviation(σ) = 0.5 inches

We have to find less than of 20% of sandwiches for z value of -0.84

P(ƶ<z) = 20%

We can write it as

P(ƶ<-0.84) = 20/100

P(ƶ<-0.84) = 0.20

Since z = -0.84

X-μ/σ = -0.84

Now putting the value

X-11/0.5 = -0.84

Multiply by 0.5 on both side

X-11/0.5 *0.5= -0.84*0.5

X-11= -0.42

Add 11 on both side

X-11+11= -0.42+11

X = 10.58

Hence, 20% of sandwiches are less than 10.58 inches.

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Right question is here

Subway sells foot long sandwiches that have a mean of 11 inches and a standard deviation of 0.5 inches. 20% of sandwiches are less than ................. inches. (The cumulative standardized normal distribution table indicates a z value of -.84 for 20%)

(a) 11.500

(b) 11.42

(c) 10.58

(d) cannot be determined from the information given

Option A is correct.I : Rank(A)=2.II : The general solution has 2 free variables.III : dim (Column Space) =2.

To determine the truth of each of the given options, we will first need to know the The rank of matrix A is equal to the number of non-zero rows in the echelon form of (A|b), which is 2. Therefore, I is true. To find the general solution of the system of equations represented by the augmented matrix, we need to convert it into its row-reduced echelon form. Then, each pivot column corresponds to a basic variable, while the non-pivot columns correspond to free variables. In this case, the third and fourth columns correspond to free variables. Thus, the general solution has 2 free variables. Therefore, II is also true. The dimension of the column space of a matrix A is equal to the number of pivot columns of A, which is also equal to the rank of A. Here, the rank of A is 2. Therefore, III is also true.

Thus, the correct option is A. All the given statements I, II, and III are true.

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Answer:

301.44

Step-by-step explanation:

The graph that best represents an increasing function is the graph that shows a straight line that joins the ordered pairs 0, 4, and 4, 4.

What is graph ?

A graph is a visual representation of data or a mathematical function, usually drawn on a coordinate plane. Graphs are used to display and communicate information in a clear and concise manner. The two main types of graphs are quantitative graphs, which display numerical data, and qualitative graphs, which display non-numerical data.

Given by the question:
The graph that best represents an increasing function is the graph that shows a straight line that joins the ordered pairs 0, 4, and 4, 4.

An increasing function is a function where as the input variable increases, the output variable also increases. In other words, the function "goes up" as you move from left to right. A straight line that has a positive slope represents an increasing function. The slope of this line is zero, which means that the line is horizontal, but it is still an increasing function because the output variable (y-value) remains constant as the input variable (x-value) increases.

The other graphs do not represent an increasing function because they either have a decreasing section or a vertical line, which does not represent a function since a vertical line violates the vertical line test.

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