While driving for a rideshare, Mason earns a fixed base amount, as well as a variable per km rate. If he drives
7 km, he earns $17.40. if he drives 12 km, he earns $25.90. Create an equation to model this relation and
then use the equation to determine Mason's earnings if he drives 22.5 km.

PLSS HELP

Answer:

y=-x+`1

Step-by-step explanation:

Just follow the slope-intercept form formula-

Formula: y=mx+b

Key:

y = y-coordinate

m = slope

x = x-coordinate

b = y-intercept

Let me know if you have any questions, hope this helps! (:

The area of the flower bed in square yards is 28 Square yards.

The area of the rectangular flower bed in square yards, we need to convert the measurements from feet to yards. There are 3 feet in 1 yard, so:

Length in yards = 21 feet / 3 = 7 yards

Width in yards = 12 feet / 3 = 4 yards

Now we can calculate the area in square yards:

Area = Length × Width

Area = 7 yards × 4 yards

Area = 28 square yards

Therefore, the area of the flower bed in square yards is 28 square yards.

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Answer:

yes

Step-by-step explanation:

Answer:

154.1 approximately

Step-by-step explanation:

If the 27% of a number is 57 (let x represent the 73%)

Then to find the 73% we use the following equation

57/x = 27/73 cross multiply expressions

4161 = 27x divide both sides by 27

154.1 = x

Answer

The equation described is

(3n/5) + 8 = 15

Explanation

Let the number of people in the cafeteria be n

- Each person had 1 friend come sit with them and this tripled the amount.

Number of people in the cafeteria = 3n

- Then, the entire group divided into 5 groups, and all but one group left and went outside, so only 1/5 of the total people were left in the cafeteria.

Number of people left in the cafeteria = (3n/5)

- 8 more people came into the cafeteria.

Number of people left in the cafeteria = (3n/5) + 8

- The total number of people in the cafeteria by the end of lunch was 15.

Number of people left in the cafeteria = (3n/5) + 8 = 15

(3n/5) + 8 = 15

Hope this Helps!!!

Required area of the composite figure is 69 cm²

What is area of a composite shape?

the area covered by any composite shape. A composite shape is a shape in which some polygons are put together to form the required shape is called the area of composite shapes . These figures can consist of combinations of triangles, rectangles, squares etc. To determine the area of composite shapes, divide the composite shape into basic shapes such as square, rectangle,triangle, hexagon, etc.

Basically, a compound shape consists of basic shapes put together. This is also called a "composite" or "complex" shape. This mini-lesson explains the area of compound figures with solved examples and practice questions.

Here in this figure, we have two figures.

First one is rectangle and second one is triangle.

Length and breadth of the rectangle are 12 cm and 4 cm respectively.

So, area = Length × Breadth = 12 × 4 = 48 cm²

Again height of the triangle is (11-4) = 7 cm and base of the triangle is (12-6) = 6 cm.

So, area of the triangle = 1/2 × 7 × 6 = 3×7 = 21 cm²

Now if we add both area of rectangle and triangle then we will get area of the composite figure.

So, required area of the composite figure is ( 48+21) = 69 cm²

Therefore, option A is the correct option.

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The number of hats Sara bought is 7.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Sarah went shopping at a store and bought some hats that cost $6 each and 2 necklaces that cost $12 each.

The number of hats will be calculated as,

12N + 2H = 66

12 x 2 + 2 H = 66

2H = 66 - 24

2H = 42

H = 42 / 2

H = 21

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Axiomatic semantics, a branch of formal semantics, is based on mathematical logic. It provides a formal framework for defining the behavior and meaning of programming languages or formal systems.

Mathematical logic serves as the foundation for axiomatic semantics, offering tools and methods to define and reason about formal systems. It encompasses propositional and predicate logic, set theory, and proof theory. In axiomatic semantics, mathematical logic is used to define syntax, semantics, and proof systems, allowing for precise specifications of program behavior and correctness.

While other branches of mathematics such as set theory and calculus may be utilized in defining underlying structures and functions, the core principles and techniques of axiomatic semantics are rooted in mathematical logic. This logical framework enables rigorous reasoning about program properties and supports the verification and analysis of programs and systems.

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Answer:

2

Step-by-step explanation:

f(x)=x^2+1

now,

f(1)=1^2+1

=1+1

=2

The expressions that will give you a difference of 5 are: -3 - (-8) and 1 - (-4).

The difference of two expressions is determined by subtracting one from the other.

Find the difference of each of the expressions given to determine which will give us 5.

-3 - (-8)

= -3 + 8

= 5

-2 - 3 = -5 [this is not the same as 5]

1 - (-4)

= 1 + 4

= 5

7 - (-2)

= 7 + 2

= 9

-3 - (-8) and 1 - (-4) will give us a difference of 5.

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Answer:

80

Step-by-step explanation:

Since the quadrilaterals are similar, corresponding angles are congruent.

m<A = m<F

m<F + 100° + 60° + 120° = 360°

m<F = 80°

z = m<F = 80°

Answer: 80

Answer: x = 13

Step-by-step explanation:

first you plug in 13 for x which will give you 96 ( 8 times 13 = 104, 104-8 = 96)

then next, you multiply 96 by 2/3, which will eventually =64

Answer: x=13

Step-by-step explanation:

1. Re-order the terms so constants are on the left

(8x-8)•2÷ 3=64

to

2(8x-8)÷3-64

2. Distribute

2(8x-8)÷3= 64

to

16x-16÷3=64

3. Multiply all terms by the same value to eliminate fraction denominators

16x-16÷3=64

to

3•16x-16=3•64

Answer:

do this

Step-by-step explanation:

quizlet.

Answer:

2x-7

Step-by-step explanation:

Answer:

2x-7

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

B is right because the amount of money you earn is based off of how many hours you have worked. If you work many hours your getting paid more.

The limit does not exist.

In order for such a limit to occur, the fraction \(\frac{x^{2} }{x^{2} +y^{2} }\) must be comparable to the same value \(L\), regardless of the way we take to get there \((0,0)\).

Try approaching \((0,0)\) along the x-axis.

This means setting \(y=0\) and finding the limit \(lim_{x-0} \frac{x^{2} }{x^{2} +y^{2} }\).

We obtain:

\(lim_{x-0,y=0}\frac{x^{2} }{x^{2} +y^{2} } =lim_{y=0}}\frac{x^{2} }{x^{2} +0 }\\=lim_{x-0}} \frac{x^{2} }{x^{2} } \\\\=lim_{x-0}}1\\=1\)

Now evaluate approaching \((0,0)\) along the y-axis.

This means setting \(x=0\) and finding the limit \(lim_{y-0} \frac{x^{2} }{x^{2} +y^{2} }\).

\(lim_{y-0,x-0} \frac{x^{2} }{x^{2} +y^{2} } =lim_{y-0} \frac{0}{0+y^{2} } \\=lim_{y-0} \frac{0}{y^{2} } \\=lim_{y-0} 0\\=0\)

Approaching the origin via these two methods results in distinct limits.

\(lim_{x-0,y-0} \frac{x^{2} }{x^{2} +y^{2} }\) ≠ \(lim_{y-0,x-0}\frac{x^{2} }{x^{2} +y^{2} }\)

Therefore the limit does not exist.

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The correct question is given below:

Find the limit, if it exists, or show that the limit does not exist.

\(lim_{(x,y) -(0,0)} \frac{x^{2} }{x^{2} +y^{2} }\)

Answer:

Logan's swimming average is 2.25 kilometers per hour.

Mila's swimming average swimming speed is 34.44 m/min.

The distance swam by Logan = 750 m

The distance swam by Mila =  of Logan's distance = \(\frac{2}{3}\)  × 750 = 2 × 250 = 500.

This should help. :)

Logan's swimming Average 2.25 kilometers per hour

and Mila's swimming speed is 34.44 m/min.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

The distance swam by Logan = 750 m

Logan's swimming average is 2.25 kilometers per hour.

Mila swam 2/3 of logans distance in 1/4 of an hour

So,

The distance swam by Mila =  2/3 of Logan's distance

= 2/3  × 750

= 2 × 250

= 500.

So, Mila's swimming speed is 34.44 m/min.

Hence, Logan's swimming Average 2.25 kilometers per hour and Mila's swimming speed is 34.44 m/min.

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The total output of 15 workers will be 105 units per day.Work and time are correlated so using this we could solve the question.

What is work and time?

Time is the duration of any activity or work that occurs or continues.

Work is a task or set of activities designed to achieve a specific result.

Main Body:

This can be done by simply multiplying both number of days and total work in one day.Hence the equation become:

total output = total workers*total work done by one person.

Total output = 7*15

hence,total output = 105 units

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The point of concurrency of the angle bisectors of a triangle is known as the incenter of a triangle.

The confluence point of the elevations in a triangle is known as the orthocenter. The intersection of three or more lines, rays, segments, or planes is referred to as a point of concurrency.

This point will be equidistant from the sides of a triangle, as the central axis’s junction point is the center point of the triangle’s inscribed circle.

A point that is equally spaced from a triangle's sides contains all three of its angle bisectors simultaneously.

Therefore, the point of concurrency of the angle bisectors of a triangle is known as the incenter of a triangle.

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Step-by-step explanation:

Elijah runs at constant speed

2.4 hours -----------> 13.8 miles

1 hour ---------------> 13.8/2.4

1 hour ---------------> 5.75 miles

Elijah run 5.75 miles in each hour at constant speed

Answer: 13/25

Step-by-step explanation: it is equal to 52% which is greater than 50%

50% is greater than 13/25. To compare these two values, you can convert both of them to a common denominator, such as 50%. 50% is equal to 1/2, so 13/25 is equal to 52/50, which is less than 1/2 or 50%. Alternatively, you can also express both fractions as decimals and compare the two values that way. 50% is equal to 0.5, and 13/25 is equal to 0.52, so 50% is still greater than 13/25.

Answer:

9 7/8 is the answer, hope this helps!

Step-by-step explanation:

Step-by-step explanation: so 9 7/8

hope this hleps you some

Using the sine ratios, the exact values of the sides of the right triangles are:

a = 10

b = 3/√2

To find the exact value of a, apply the sine ratio:

sin ∅ = length of the opposite side / length of the hypotenuse

Given the following in the right triangle:

Reference angle (∅) = 30° (sine 30 degrees = 0.5 or 1/2)

Length of the opposite side to the reference angle = 5

Length of the hypotenuse = a

Plug in the values into the sine ratio:

sin 30 = 5/a

a * sin 30 = 5

a = 5 / sin 30

a = 5 / 1/2

a = 5 * 2/1

a = 10

To find the exact value of b, apply the sine ratio:

sin ∅ = length of the opposite side / length of the hypotenuse

Given the following in the right triangle:

Reference angle (∅) = 45° (sine 45 degrees = 1/√2)

Length of the opposite side to the reference angle = b

Length of the hypotenuse = 3

Plug in the values into the sine ratio:

sin 45 = b/3

3 * sin 45 = b

3 * 1/√2 = b

b = 3/√2

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1)The slope of the line is C) 13. 2)It would be inefficient since it is not the most optimal use of resources.the correct option is C. 3)The equilibrium price and quantity are D) $25 and 10 dozens of roses per day, respectively.

1) Y = 13X + 38, where Y is a function of X.

The slope of the line is 13.

Therefore, the correct option is C.

2) Kolin catches 25 fish and gathers 70 fruits. If we consider the combination, then it would be inefficient since it is not the most optimal use of resources.

Therefore, the correct option is C.

3) Using the given figure, we can see that the point where the demand and supply curves intersect is the equilibrium point. At this point, the equilibrium price is $25 and the equilibrium quantity is 10 dozens of roses per day.

Therefore, the correct option is D. The equilibrium price and quantity are $25 and 10 dozens of roses per day, respectively.

Note that this is the point of intersection between the demand and supply curves, which represents the market equilibrium.

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Answer:

cube with each edge

3.5m

Answer:

Pretty sure it’s D

Step-by-step explanation:

Answer:

24

Step-by-step explanation: