(25)+(12)+(−10)+(−7)=​

The equation to find Shanti's age is y = x - 3 where y is Shanti's age.

Given,

Shanti's sister Uri is Shanti's age plus 3 years.

Uri is 7 years old.

We need to write an equation to find Shanti's age.

We have,

Uri age = Shanti age + 3______(1)

Uri = 7 years old

Putting in (1)

We get,

Uri age = Shanti age + 3

7 = Shanti age + 3

Subtracting 3 on both sides.

7 - 3 = Shanti age + 3 - 3

4 = Shanti age

We see that Shanti's age is 4 years old.

If we have to write an equation then,

Consider Uri's age to be x and Shanti's age to be y.

Now,

Uri age = Shanti age + 3

x = y + 3

Subtracting 3 on both sides

x -3 = y

y = x - 3 is our equation.

Thus the equation to find Shanti's age is y = x - 3.

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Answer:

See below.

Step-by-step explanation:

Total weekly salary:

regular weekly salary + amount from working over 40 hours

In one full week of 40 hours of work, you earn a regular salary of $340.

For each hour you work over 40 hours, you earn $12.50 per hour.

Let x = number of hours you work over 40 hours.

The amount you make from these extra hours is 12.5x

Your total weekly salary is

340 + 12.5x

You want your total weekly salary to be more than $490.

340 + 12.5x > 490

Answer:

answer

Step-by-step explanation:

Answer: They are all isosceles triangles.

Step-by-step explanation:

The definition of an isosceles is a triangle that has two sides of equal length. All of the triangles shown have two sides that have equal length:)

The value of the given functions is g(f(2)) = g(10) = 5.

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships;

We are given that;

f(x) = x² + 3x

g(x)=x-5

Now,

To find g(f(2)), we first need to evaluate f(2), and then use the result as the input for g.

First, we evaluate f(2) by substituting 2 for x in the expression for f(x):

f(2) = 2² + 3(2) = 4 + 6 = 10

Now we use this result as the input for g:

g(f(2)) = g(10)

Finally, we evaluate g(10) by substituting 10 for x in the expression for g(x):

g(10) = 10 - 5 = 5

Therefore, the answer of the function will be g(f(2)) = g(10) = 5.

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Answer:

tank 1 : 19 gallons

tank 2 : 42 gallons

Step-by-step explanation:

tank 1 : x

tank 2 : 2x+4 ( 4 more than twice the other )

x + ( 2x + 4 ) = 61

3x + 4 = 61 [ add x + 2x = 3x ]

3x = 57 [ subtract 4 on both sides ]

x = 19 [divide 3 on both sides ]

tank 1 : 19 gallons

tank 2 : 42 gallons

Answer:

1,2,4,8

Step-by-step explanation:

1

2

1,2

4

4,1

4,2

4,2,1

8

8,1

8,2

8,2,1

8,4

8,4,1

8,4,2

8,4,2,1

The weight of the beaker, including the weight of the water, is approximately 173.1 ounces when rounded to the nearest tenth. To find the weight of the beaker when filled with water, including the weight of the cylindrical beaker itself, we need to calculate the weight of the water and add it to the weight of the empty beaker.

First, let's find the volume of the water in the beaker. The beaker is filled to one inch from the top, which means the height of the water is 11 - 1 = 10 inches.

The volume of the water can be calculated using the formula for the volume of a cylinder: \(V = \pi r^2h\), where r is the radius and h is the height.

\(V = \pi (3^2)(10) = 90\pi\) cubic inches

Next, we need to find the weight of the water. Given that one cubic inch of water weighs 0.6 ounces, we can multiply the volume of the water by 0.6 to get the weight of the water.

Weight of water = 90π x 0.6 = 54π ounces

Finally, we need to add the weight of the empty beaker, which is 3.5 ounces, to the weight of the water.

Weight of beaker with water = 54π + 3.5 ounces

To find the approximate value, we can use the value of π as 3.14.

Weight of beaker with water ≈ 54 x 3.14 + 3.5 ≈ 169.56 + 3.5 ≈ 173.06 ounces

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During the morning rush hour, there are 6,400 junior and high school students, 3,400 adults, and 5,800 senior citizens riding the subway.

Let's assume the number of junior and high school students riding the subway during the morning rush hour is J, the number of adults is A, and the number of senior citizens is S.

From the given information, we can set up a system of equations based on the number of riders and the revenue generated.

Equation 1: J + A + S = 15,600 (total number of riders)

Equation 2: 1.04J + 2.20A + 1.04S = 32,464 (revenue equation with original ticket prices)

Equation 3: 1.24J + 2.60A + 1.04S = 38,264 (revenue equation with new ticket prices)

We can start by subtracting Equation 2 from Equation 3 to eliminate the J and S terms:

0.2J + 0.4A = 3,800

Next, we can multiply Equation 1 by 0.2 and subtract it from the above equation to eliminate the J term:

0.4A - 0.2J - 0.2A = 3,800 - 3,120

0.2A = 680

A = 680 / 0.2 = 3,400

Now, we can substitute the value of A back into Equation 1 to find the values of J and S:

J + 3,400 + S = 15,600

J + S = 15,600 - 3,400

J + S = 12,200

We have two equations with two variables (J + S = 12,200 and 1.04J + 1.04S = 12,264). By solving these equations simultaneously, we find J = 6,400 and S = 5,800.

Therefore, during the morning rush hour, there are 6,400 junior and high school students, 3,400 adults, and 5,800 senior citizens riding the subway.

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To find the number of subway riders in each category, we set up a system of equations based on the total number of passengers and the total revenue. Solving this system will give us the number of junior and high school students, adults, and senior citizens. The number of riders doesn't change with the increase of ticket prices.

To solve this problem, we set up a system of equations based on the information given in the question.

Let's denote the number of junior and high school students as J, adults as A, and senior citizens as S. We know that there's total of 15,600 passengers, so:

J + A + S = 15,600

We also know that the total revenue was $32,464. Given the ticket prices for each group, we can write:

$1.04J + $2.20A + $1.04S = $32,464

Solving this system of equations (possibly with the help of a calculator or computer software), we can find the number of riders in each category.

The number of riders for each category would only change if the number of riders changes, not the price of the tickets, so when the prices increase, the number of riders remains the same.

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Answer: 26.4

Step-by-step explanation: 1.2x22=

Answer:

histogram

Step-by-step explanation:

Answer:

your answer would be 0.25 cents per egg

Step-by-step explanation:

Answer:

parallel y=7x+26

perpendicular y=1/7x+32/7

Step-by-step explanation:

parallel line have the same slope

y-5=7(x-(-3))

y-5=7(x+3)

y-5=7x+21

y=7x+21+5

y=7x+26

perpendicular slope  is the opposite of the original slope of 7

y-5=-1/7(x-(-3))

y-5=-1/7(x+3)

y-5=-1/7x-3/7

y=-1/7x-3/7+5

y=-1/7x+32/7

Answer:

The set D has 5 elements - 3, 6, 9, 12, and 15, all of which are multiples of 3.

Answer:

-1_< x<6

Step-by-step explanation:

make sure to put when you put _< it's a less than with the little underline is under the less than

Answer:

the interval Notation is (-1,8]

hope this helped.

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

25(6+10)

25(16)

Answer:

549 000

Step-by-step explanation:

4500×122 months=549 000

Answer:

112.5

67.5

Step-by-step explanation:

We know the ratio is:

5:3

So, we can write it as:

5x+3x=180, with 5x being one angle, and 3x being the other

combine like terms

8x=180

divide both sides by 8

x=22.5

5(22.5)=112.5

3(22.5)=67.5

So, one angle is 112.5 and the other is 67.5.

Hope this helps!

Answer:

ok so get ready

Step-by-step explanation:

it would be 70 degrees because 180-(22*5)=70 and the equation to find an angle like this would be 180-(length of ladder * how far the ladder is from the house)= the angle of the ladders elevation.

Answer:

1:3

Step-by-step explanation:

divide 4 ...............

.............

ps: idk the explanation

Answer:

\(525*1.05^t\)

Step-by-step explanation:

525 initial, 1.05 rate

Answer:

1.86 10^5 miles/second and 6.71 10^8 miles/hour

Step-by-step explanation:

You would take 186,000 and add a decimal in front of the 1, so it would be 1.86000, and then you want to count the numbers in front of that decimal, since there is five it would be "10^5".

For the second you do the same thing.

1st:

2nd:

The range of the function f(x) = |x-3| is [0,∞)

The range of a function is the set of its possible output values. The range is spread of the values of the output of a function. The range of a function is complete set of all possible resulting values of the dependent variable, after we have substituted the domain.

Given function is f(x) = |x - 3|

clearly f(x) is defined for all x ∈ R.

Therefore domain f = R

Since |x - 3| > 0 for all x ∈ R

Therefore,

0 ≤ |x - 3| < ∞ for all x ∈ R

0 ≤ f(x) < ∞ for all x ∈ R

f(x) ∈ [0,∞) for all x ∈ R

Hence the range of the function is (f) = [0,∞).

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The angle of depression from you to your friend is 54.1°

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let θ represent the angle between me in air and my friend, hence:

tanθ = 326 / 450

θ = 35.9 degrees

The angle of depression = 90 - 35.9 = 54.1°

The angle of depression from you to your friend is 54.1°

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Answer:

The answer is "Option a".

Step-by-step explanation:

Dispute C comes under factual dispute because the words Vacaville or Victorville are two different places and they are arguing about the fact that's why option a is correct.

The Method of Cylindrical Shells will be used to assist.

As previously, we construct a region R that is enclosed on the top by the graph of the function y = f (x), on the bottom by the x axis, and on the left and right by the lines x = a and x = b, respectively (a).

As seen in Figure 1, we then rotate this region around the y-axis (b). Be aware that this is distinct from what we have previously done..

Previously, areas that were described in terms of x-functions were centered on the x-axis or a line that ran parallel to it.

Since the shell is a cylinder, its volume equals the cross-sectional area times the cylinder's height. The cross-sections are annuli, which are essentially circles with holes in the middle and are formed like rings.

According to our question-

V= 2π ∫025/2 x [ 5 - √(2x) ] d x = 625π/ 4 cubic units

USING THE WASHER METHOD

V = ∫05 π (1/4) y4 d y = 625π/ 4 cubic units

Hence, The Method of Cylindrical Shells will be used to assist.

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Answer:

\(\sf V=\dfrac18\: \sf yd^3\)

Step-by-step explanation:

Volume of a cube formula

\(\sf V=s^3\)

where:

Given:

\(\sf \implies V=\left(\dfrac12\right)^3\)

Apply exponent rule \((\frac{a}{b})^c=\dfrac{a^c}{b^c}\)

\(\sf \implies V=\dfrac{1^3}{2^3}\)

\(\sf \implies V=\dfrac18\: \sf yd^3\)

Volume:-

There must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

To prove the existence of a vertex u in tree T such that the distance between u and v is at most (n-1)/2, we can employ a contradiction argument. Assume that such a vertex u does not exist.

Since the number of vertices in T is odd, there must be at least one path from v to another vertex w such that the distance between v and w is greater than (n-1)/2.

Denote this path as P. Let x be the vertex on path P that is closest to v.

By assumption, the distance from x to v is greater than (n-1)/2. However, the remaining vertices on path P, excluding x, must have distances at least (n+1)/2 from v.

Therefore, the total number of vertices in T would be at least n + (n+1)/2 > n, which is a contradiction.

Hence, there must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

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Step-by-step explanation:

Slope 1/2    point    5,1  

  in point slope form would be

    (y-1) = 1/2 (x-5)

Answer:

C 60

Step-by-step explanation:

This is because if you do 303+60=363 and then you do 363/11 you get 33. So x=60

60

Multiply both sides of the equation by 11:

303 + x =363

Move constant to the right side and change its sign:

x = 363 - 303

Then,subtract the numbers:

x = 60