Match each expression in column A with an equivalent expression from column B
olumn A
1.
2.
3.
4,
-
-
-
3x-2x+0.5x
6(x+4)-2(x+5)
3(x+4)-2(x+4) +0.5(x+4)
20(2/5x+3/4y-1/2)
Column B
a. 1.5
b. 1.5%
c. 1/2 (16x+30y-20)
d. 2(2x+7)

Answer: The temperature of an oven can be modeled by a linear equation. In this case, the initial temperature of the oven is 75° and it will increase at a rate of 25° per minute after being turned on.

The equation to model the temperature of the oven t minutes after being turned on is:

Temp = 75 + 25t

Where Temp is the temperature of the oven in degrees and t is the number of minutes after being turned on.

For example, if we want to find the temperature of the oven 17 minutes after being turned on, we can substitute t = 17 into the equation:

Temp = 75 + 25 * 17 = 75 + 425 = 500°

So, the temperature of the oven 17 minutes after being turned on is 500°.

In general, the temperature of the oven t minutes after being turned on can be found by substituting the value of t into the equation:

Temp = 75 + 25t.

Step-by-step explanation:

The temperature of an oven can be modeled by a linear equation. In this case, the initial temperature of the oven will be;  75° and it will increase at a rate of 25° per minute after being turned on.

An equation is an expression that shows the relationship between two or more numbers and variables.

The equation to model the temperature of the oven t minutes is:

Temp = 75 + 25t

Where, Temp is the temperature of the oven in degrees and t is the number of minutes after being turned on.

For example, if we need to find the temperature of the oven 17 minutes after being turned on, we can substitute t = 17 into the equation:

Temp = 75 + 25 * 17 = 75 + 425

Temp = 500°

Thus, the temperature of the oven 17 minutes after being turned on is 500°.

In general, the temperature of the oven t minutes after being turned on can be find by substituting the value of t into the equation:

Temp = 75 + 25t.

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The value of y'(2) is 135/16.

The correct option is A.

Mathematicians use a procedure called differentiation to determine a function's instantaneous rate of change based on one of its variables.

Given:

y = (x - 1/x)³

Differentiating the function with respect to x,

y' = 3x² +3/x⁴ - 3 - 3/x²

y'(2) = 12 + 3/16 - 3 -3/4

y'(2) = 135/16

Therefore, the value is 135/16.

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Answer:

-10 and -7

Step-by-step explanation:

Notice that (-10) + (-7) = -17, and (-10)(-7) = 70, so these are the integers.

Answer:

-7 & -10

Step-by-step explanation:

-7 + -10 = -17

-7 x -10 = +70

The value of x is 16.2.

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

Perpendicular = 18

Base = x

Tan Ф = Perpendicular / Base

Tan 48 = 18 / x

1.11 = 18/x

Solve for x.

1.11 = 18/x

x = 18/1.11

x = 16.22

x = 16.2

Thus,

x is 16.2

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The length of the UW of the triangle is 18. The correct option is D.

Pythagorean theorem states that in the right angle triangle, the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

The length UW will b calculated as:-

First, in ΔTWU apply the Pythagorean theorem,

TU² = UW² + 12²

TU² = UW² + 144

In ΔTWV apply the Pythagorean theorem,

VT² = 12² + 8²

VT² = 208

Apply Pythagorean theorem in ΔVTU,

( 8 + UW)² = VT² + TU²

Substitute the value of TU² in the above equation,

( 8 + UW)² = 208 + UW² + 144

UW² + 16UW + 64 = UW² + 208 + 144

16UW = 288

UW = 288 / 16 = 18

Therefore, the length of UW is 18.

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Answer: 500

Step-by-step explanation:

25 x 20 = 500

Peeta worked 9.41 hours on Sunday. The equation 5.5h + 90.2 = 142.2 can be used to determine the number of hours Peeta worked given his earnings.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Let h be the number of hours that Peeta worked on Sunday. We know that he earned $5.50 per hour and $90.20 in tips. So, his total earnings can be represented as:

5.5h + 90.2 = 142.2

Solving for h:

5.5h = 142.2 - 90.2
5.5h = 52

h = 52 / 5.5
h = 9.41 hours

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The ratio of 2 days to 80 hours and 5 days to 80 hours is 1 day : 40 hours and 1 day : 16 hours respectively.

2, 5 days : 80 hours

So,

2 days : 80 hours

= 2/80

= 1/40

= 1 day : 40 hours

Also,

5 days : 80 hours

= 5/80

= 1/16

= 1 day : 16 hours

Hence, the ratio of days to hours is given by 1 day : 40 hours and 1 day : 16 hours respectively.

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The number 25 is the value at which the number sentence is true. An enumerated (numbered) list can be presented in sentence form in a variety of ways.

An enumerated (numbered) list can be presented in sentence form in a variety of ways. The number (not the number word) can be placed in parentheses in the following manner: I listed the following three causes: Here is my first justification, this is my second justification, and this is my third justification. A number sentence compares two numerical expressions and states their equivalence (or inequality).

Let the value be x

now 36 + 27 = 88 - x

36 + 27 = 88 - x

63 = 88 - x

x = 88 - 63

x = 25

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Answer:

the answer is 20

Step-by-step explanation:

.........

Answer:

20

Step-by-step explanation:

Do it one step at a time using the correct order of operations.

11 - 12 ÷ 4 + 3(6 - 2) =

= 11 - 3 + 3 × 4

= 8 + 12

= 20

Answer:

i hope this help

Step-by-step explanation:

If each question is worth 4 points, then 100 questions would be worth 400 points.

If Chee got 10 questions wrong, she would have answered 100-10 = 90 questions correctly.

Her score would be 90 x 4 = 360 points out of 400 points.

As a percentage, her score would be 360/400 x 100 = 90%.

If Chee got x questions wrong, her score would be (100-x) x 4 points.

The money left from last month's earnings is $1660.35.

Subtraction can be done for any numbers or algebraic expressions. It is the process of taking out certain value from a given amount of number.

The process of subtraction can also be termed as finding difference.

In order to find the money left, we have to find the difference of earnings and expense.

Earnings = $4,283.30

Expense for bills = $4,283.30 × (3/5) = $2569.98

Expense for shirts = $19.99 × 2 = $39.98

Expense for sunglasses = $12.99

Total expense = $2569.98 + $39.98 + $12.99 = $2622.95

Money left = $4,283.30 - $2622.95 = $1660.35

Hence $1660.35 amount of money is left.

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The complete question is :

Selena earned $4,283.30 last month she used 3/5 of her earnings to pay her bills with the remaining money she bought two shirts $19.99 each and a pair of sunglasses for $12.99 how much money does Selena have left from last month's earnings?

Step-by-step explanation:

At Big Time Pizza, you would need to add 5 toppings in order for the pizza to cost the same as a medium pizza from PizzaPizza, which would cost $9.50. At PizzaPizza, you would need to add 8 toppings in order for the pizza to cost the same as a medium pizza from Big Time Pizza, which would cost $9.50.

Se requiere agregar un volumen adicional de 24 yardas cúbicas para obtener una concentración de grava de 85 %.

Este problema es un caso de aplicación de promedios ponderados, en donde se mezcla un volumen de un porcentaje menor de grava con otro volumen de un porcentaje mayor de grava para obtener una mezcla con un porcentaje deseado. Esta situación queda descrita en la siguiente ecuación:

(6 yd³) · 65 + x · 90 = (6 yd³ + x) · 85

Donde x es el volumen del cargamento de grava al 90 %, en yardas cúbicas. A continuación, procedemos a determinar el volumen requerido:

390 + 90 · x = 510 + 85 · x

5 · x = 120

x = 24 yd³

No aparecen problemas verificados en español sobre promedios ponderados. Se ha agregado un problema en inglés por defecto.

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The solution of the system of equations -6x -12= (1/2)x -4 include the following: D. x = -4 and x = -2.

In Mathematics, a point of intersection can be defined as the location on a graph where two (2) lines intersect or cross each other, which is primarily represented as an ordered pair containing the point that corresponds to the x-coordinate (x-axis) and y-coordinate (y-axis) on a cartesian coordinate.

By critically observing the graph of the lines representing the given system of equations, we can reasonably and logically deduce that the correct solution set lies in Quadrant II and it is denoted by the point of intersection of both the x-coordinate (x-axis) and y-axis, which is given by  x = -4 and x = -2.

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The graph of y = 4x + 5 that models this situation is added as an attachment

From the question, we have the following parameters that can be used in our computation:

Already eaten = 5 mini hot dogs

Rate = 4 hot dogs per minute

So, the equation is

y = 4x + 5

A linear equation is represented as

y = mx + c

Where

slope = m = 4

y-intercept = c = 5

See attachment for the graph

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Answer:

527.52 ft²

Step-by-step explanation:

The surface area of a cylinder is:

[tex]\displaystyle{2\pi r^2 + 2\pi r h}[/tex]

where r is radius and h is height.

From the attachment, we know that the radius (r) is 7 ft and the height is 5 ft. Therefore:

[tex]\displaystyle{\text{Surface Area} = 2 \cdot 3.14 \cdot (7)^2 + 2\cdot 3.14 \cdot 7 \cdot 5}\\\\\displaystyle{\text{Surface Area} = 6.28 \cdot 49 + 6.28 \cdot 35}\\\\\displaystyle{\text{Surface Area} = 307.72 + 219.80}\\\\\displaystyle{\text{Surface Area} = 527.52 \ \: \text{ft}^2}[/tex]

Therefore, the surface area of the cylinder is 527.52 ft²

Answer: X E R

Step-by-step explanation: y=2 x 2x+2

calculate the product

y=4x+2

The domain of a linear function is the set of all real numbers

x E R

He has 5hrs  to drive and 275 miles to drive to cover to arrive at the university.

Speed is measured as distance moved over time. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).

here, we have,

His college is 330 miles away.

After an hour of driving, he still has 275 miles to go.

If the roads are clear, he'll be able to keep up that pace for the whole drive.

If he drives 55 miles in 1 hr

he would drive 330 miles in

=6hrs.

his total travel time is 6 hr

He has 5hrs  to drive and 275 miles to drive.

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Answer:

Step-by-step explanation:original quantity = $30

New quantity = $39

increase amount = 39-30 = 9

Percent change:

30 x = 9

x = 9/30

x = 0.3

0.3x 100 = 30%

Since the quantity grows, it's a percent increase.

Answer:

a) $40.05

b) $161.99

c) C(x) = 6.45 + 0.93x, if x ≤ 20

C(x) = 6.45 + 0.84x, if x > 20 and x ≤ 50

C(x) = 6.45 + 0.77x if x > 50

Any sequence of five spins that consists only of numbers 1 and 2 would be an outcome of Event A.

From the question, we have the following parameters that can be used in our computation:

Event A = the spinner lands on numbers all less than 3

An outcome of Event A would be a sequence of five spins on the spinner that result in numbers all less than 3,

For example: 1, 2, 1, 2, 1.

See that each number in the above sequence is less than 3

Hence, the event A represents outcomes less than 3

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Step-by-step explanation:

Since we're solving for L, it has to equal L.

Which means C & D are the only options.

Only problem is... we don't have the original formula. Not sure if it was part of #1 or...

The total number of shaded squares will be equal to the product of 4 x 2/3.

A. For the problem 4 x 2/3, you can draw a model using rectangular arrays or area models. Draw four columns, each representing one of the four groups, and two rows to represent the two-thirds. Shade in two-thirds of the first column, then repeat for the next three columns. The total number of shaded squares will be equal to the product of 4 x 2/3.

B. For the problem 3 x 2/5, you can also draw a model using rectangular arrays or area models. Draw three columns, each representing one of the three groups, and two rows to represent the two-fifths. Shade in two-fifths of the first column, then repeat for the next two columns. The total number of shaded squares will be equal to the product of 3 x 2/5.

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The temperature at 4 hours after 3 A.M. is lower than the temperature at 5 hours after 3 A.M.

What is the temperature?

Temperature is a physical property of matter that measures the degree of hotness or coldness of an object. It is a scalar quantity that is expressed in units such as Celsius, Fahrenheit, or Kelvin.

The statement "f(4) < f(5)" means that the outside temperature 4 hours after 3 A.M. is less than the temperature 5 hours after 3 A.M. In other words, the temperature is rising over time and the value of f(t) increases as t increases. So, the temperature at 4 hours after 3 A.M. is lower than the temperature at 5 hours after 3 A.M."f(4) < f(5)" means that the outside temperature 4 hours after 3 A.M. is less than the temperature 5 hours after 3 A.M. In other words, the temperature is rising over time and the value of f(t) increases as t increases. So, the temperature at 4 hours after 3 A.M. is lower than the temperature at 5 hours after 3 A.M.

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[tex]x=-2\hspace{5em}y=2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{x^2 - y^3}{x^3 + y^2}\implies \cfrac{(-2)^2 - (2)^3}{(-2)^3 + (2)^2}\implies \cfrac{(-2)(-2)~~ - ~~(2)(2)(2)}{(-2)(-2)(-2)~~ + ~~(2)(2)} \\\\\\ \cfrac{(+4)~~ - ~~(+8)}{(-8)~~ + ~~(+4)}\implies \cfrac{4-8}{-8 + 4}\implies \cfrac{-4}{-4}\implies \text{\LARGE 1}[/tex]

for the sake of clarity, is better to parenthesize all, since plugging in the value for the variable, only includes the variable, no any exponents or signs in front.

that said, let's recall that minus * minus = plus, and that plus * plus = plus, however minus * plus = minus.

so you can think of it this way, if you have a negative value multiplied an "even times", it'll positivize, if you multiply it an "odd times", it'll go back to negative, so is not like it remains negative, it changed a few times and in the end negativized back.

Answer:

πr2

Step-by-step explanation:

The formula of a circle/finding its area is pi(r)^2

Answer: The formula for the area of a circle is π r squared

Applying the angle bisector theorem, the lengths are:

A. KL = 2.4, LW = 3.6

The Angle Bisector Theorem states that in a triangle, the ratio of the length of a side to the length of another side is equal to the ratio of the length of the angle bisector of one of the angles to the angle bisector of the corresponding angle.

In other words, if two angles of a triangle have angle bisectors of lengths x and y, then x/y = a/b where a and b are the lengths of the sides of the triangle corresponding to the bisected angles.

Based on the angle bisector theorem, we have:

(6 - x)/(x) = 4/6

Cross multiply:

4x = 6(6 - x)

4x = 36 - 6x

4x + 6x = 36

10x = 36

x = 36/10

x = 3.6

LW = x = 3.6

KL = 6 - x = 6 - 3.6 = 2.4

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the 25 brick masons complete the same job in 120 hours.

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

It took 10 brick masons 300 hours to brick a new home.

1 brick mason will take 300*10 =3000 hours

So 25 brick masons will take 3000/25 = 120 hours.

Hence the 25 brick masons complete the same job in 120 hours.

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