please reply fast..............​

Answer:

below

Step-by-step explanation:

x = one number

x+23 = second number       <======added together the equal  -14

x   +    x+23    =   -14

2x = -37

x = -18.5       other number = x+23 =  4.5

If you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.

To calculate the Social Security tax, we need to know the tax rate for Social Security and the taxable wages. Let's assume the Social Security tax rate is 6.2% for both the employee and the employer.

Given that your taxable wages for Social Security purposes are $1,100, and your previous taxable wages are $102,000, we can determine the Social Security tax amount.

First, we need to calculate the Social Security tax on the previous taxable wages of $102,000. Multiply $102,000 by 6.2% (0.062) to find the Social Security tax for that amount:

Social Security tax = $102,000 x 0.062 = $6,324

Next, we calculate the Social Security tax on the current taxable wages of $1,100. Multiply $1,100 by 6.2% to find the tax amount:

Social Security tax = $1,100 x 0.062 = $68.20

Therefore, if you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.

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Answer:

80%. Eighty percent of them

Answer: the present age of son is 15 years, and the present age of father is 45 years.

Step-by-step explanation:

Let the age of son be 'x' and that of his father be 'y'.

So according to the question, the 1st equation that can be formed will be:

y = 3(x) ->(1)

[as father's age is 3 times the age of son]

Now after 5 years:

Age of son = (x+5)

Age of father = (y+5)

So according to the question, the 2nd equation that can be formed will be:

(y+5) = 2.5×(x+5) ->(2)

[as father is now two and half times old as his son]

Substituting the value of equation (1) in (2), we get:

(3x+5) = 2.5×(x+5)

=> 3x + 5 = 2.5x + 12.5

=> 3x - 2.5x = 12.5 - 5

=> 0.5x = 7.5

=> x = 7.5/0.5 = 15

Thus, the present age of son is 15 years.

Note : we can calculate the age of father by putting the value of x in equation (1) or (2):

y = 3(x) = 3 × 15 = 45 (putting x in equation 1)

Thus, the present age of father is 45 years.

Answer: 300

Step-by-step explanation:

15x+350=4850

15x=4500

x=300

Answer:

Step-by-step explanation:

√7 /1 + 1/√2

= √7 + √2 / 2

The surface area of the figure is approximately 997.5π cm².

We have,

The figure has two shapes:

Cone and a semicircle

Now,

The surface area of a cone:

= πr (r + l)

where r is the radius of the base and l is the slant height.

Given that

r = 15 cm and l = 19 cm, we can substitute these values into the formula:

= π(15)(15 + 19) = 885π cm² (rounded to the nearest whole number)

The surface area of a semicircle:

= (πr²) / 2

Given that r = 15 cm, we can substitute this value into the formula:

= (π(15)²) / 2

= 112.5π cm² (rounded to one decimal place)

The surface area of the figure:

To find the total surface area of the figure, we add the surface area of the cone and the surface area of the semicircle:

Now,

Total surface area

= 885π + 112.5π

= 997.5π cm² (rounded to one decimal place)

Therefore,

The surface area of the figure is approximately 997.5π cm².

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Answer:

21 rides

Step-by-step explanation:

let x = number of rides you can ride

32.50 + 0.80x \(\leq\) 50

subtract 32.50 from both sides

0.8x \(\leq\) 17.5

divide the left and right by 0.8

x \(\leq\) 21.875

this means you can ride 21 times, because you can't ride a ride unless you can afford the whole cost

how to check; 32.50 + 0.8(21) is 49.30 and 80 cents more would go over your 50 dollar spending limit

Answer:

A

Step-by-step explanation:

Answer:

17/2

Step-by-step explanation:

4x-5=29

4x=34

x=17/2

Answer:

so basically, It has helped create new businesses. It has shaped the character of the country.  It has given us benefits that other countries do not have.

Answer:

A,D, and E

Step-by-step explanation:

just answered the question

Regarding perfect squares, it is found that:

Perfect square expressions are formed with the notable products of the square of the sum or the square of the subtraction, as follows:

The constant term of perfect squares, in both cases, is given by:

b².

Since the number is squared, it will always be a positive value, meaning that a negative constant term guarantees that the polynomial is not a perfect square.

The polynomial with a negative constant in this problem has a constant of -121, hence it is not a perfect square.

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Answer:

Step-by-step explanation:

y=kx²

y₁=k(1)²=k

y₃=k(3)²=9k

y₁-y₃=k-9k=32

-8k=32

k=-4

y=-4x²

y₋₂=-4(-2)²=-16

The dairy farmer should use 1330 pounds of the 70% protein supplement and 570 pounds of the 20% protein ratio to make a 1900-pound high-grade 55% protein ration.

To determine the amounts of the 70% protein supplement and the 20% protein ratio needed to make a 1900-pound high-grade 55% protein ration, we can set up a system of equations.

Let's assume x represents the pounds of the 70% protein supplement and y represents the pounds of the 20% protein ratio.

The total weight equation is given by:

x + y = 1900

The protein content equation is given by:

(0.70x + 0.20y) / 1900 = 0.55

Simplifying the second equation, we get:

0.70x + 0.20y = 0.55 × 1900

0.70x + 0.20y = 1045

Now, we can solve this system of equations to find the values of x and y.

Rearrange the first equation to solve for x:

x = 1900 - y

Substitute this expression for x in the second equation:

0.70(1900 - y) + 0.20y = 1045

1330 - 0.70y + 0.20y = 1045

1330 - 0.50y = 1045

-0.50y = 1045 - 1330

-0.50y = -285

y = -285 / -0.50

y = 570

Now substitute this value of y back into the first equation to find x:

x + 570 = 1900

x = 1900 - 570

x = 1330

Therefore, the dairy farmer should use 1330 pounds of the 70% protein supplement and 570 pounds of the 20% protein ratio to make a 1900-pound high-grade 55% protein ratio.

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No, his answer is not correct because each of the smaller divisions represents 1/6, not 3.

Mark's answer is not correct.

When dividing a number line into equal sections, the value of each section represents a fraction of the whole.

In this case, Mark divided the number line from 0 to 1 into 3 equal sections and then divided each of those sections into 2 equal parts.

Initially, the whole number line from 0 to 1 represents the number 1. When Mark divided it into 3 equal sections, each section represents 1/3 (one-third) of the whole.

So far, this is correct.

However, when Mark further divided each of the 1/3 sections into 2 equal parts, each part represents 1/2 (one-half) of the 1/3 section.

So, each of these smaller divisions represents 1/2 \(\times\) 1/3 = 1/6 (one-sixth) of the whole.

Therefore, the correct representation of each of the smaller divisions is 1/6, not 3.

Mark made an error by mistakenly assuming that each smaller division represents the number 3.

In summary, Mark's answer of 3 is incorrect because each of the smaller divisions represents 1/6, not 3.

The correct representation for dividing the number line as described is 1/6.

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Answer:

its b

Step-by-step explanation:

2 and 1/4 chocolate and shared it among her eight friends.

24 people did he share with candy bar.

What is meant by chocolate ?

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14. The trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4

15. In the trigonometric equation 2(cos²θ - sin²θ) = 1, θ = 15°

A trigonometric equation is an equation that contains a trigonometric ration.

14. To find the value of (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°, we proceed as follows

Since we have the trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°,

We know that sin47° = sin(90 - 43°) = cos43°. So, substituting this into the equation, we have that

(sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = (cos43°/cos43°)² + (cos43°/cos43°)² - 4cos²45°

= 1² + 1² - 4cos²45°

We know that cos45° = 1/√2. So, we have

1² + 1² - 4cos²45° = 1² + 1² - 4(1/√2)²

= 1 + 1 + 4/2

= 2 + 2

= 4

So, (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4

15. If 2(cos²θ - sin²θ) = 1 and θ is a positive acute angle, we need to find the value of θ. We proceed as follows

Since we have the trigonometric equation 2(cos²θ - sin²θ) = 1

We know that cos2θ = cos²θ - sin²θ. so, substituting this into the equation, we have that

2(cos²θ - sin²θ) = 1

2(cos2θ) = 1

cos2θ = 1/2

Taking inverse cosine, we have that

2θ = cos⁻¹(1/2)

2θ = 30°

θ = 30°/2

θ = 15°

So, θ = 15°

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The answer for the given questions are:

1. 3/4 + 1/4 = 1

2. 2/3 + 1/3 = 1

3. 5/6 + 2/6 = 7/6

4. 7/8 + 1/8 = 1

5. 4/5 + 3/5 = 1 2/5

To solve the addition problems involving fractions, let's approach each one step by step:

1. 3/4 + 1/4:

When adding fractions with the same denominator, you simply add the numerators while keeping the denominator the same. In this case, since both fractions have a denominator of 4, you can add the numerators, which gives us 3 + 1 = 4. Therefore, the sum is 4/4. However, 4/4 is equivalent to the whole number 1. So, the answer to 3/4 + 1/4 is 1.

2. 2/3 + 1/3:

Similar to the previous problem, these fractions have the same denominator, which is 3. Adding the numerators, we have 2 + 1 = 3. Therefore, the sum is 3/3, which simplifies to 1. So, 2/3 + 1/3 equals 1.

3. 5/6 + 2/6:

Again, the denominators are the same, so we can add the numerators: 5 + 2 = 7. The sum is 7/6. However, 7/6 cannot be simplified any further, so that is the final answer.

4. 7/8 + 1/8:

Both fractions have a denominator of 8. Adding the numerators, we get 7 + 1 = 8. Therefore, the sum is 8/8. Similar to the first example, 8/8 is equivalent to the whole number 1. So, 7/8 + 1/8 equals 1.

5. 4/5 + 3/5:

These fractions share a denominator of 5. Adding the numerators, we have 4 + 3 = 7. Hence, the sum is 7/5. However, 7/5 can be simplified as a mixed number, which is 1 2/5. Therefore, 4/5 + 3/5 equals 1 2/5.

In summary, the solutions to the addition problems are as follows:

1. 3/4 + 1/4 = 1

2. 2/3 + 1/3 = 1

3. 5/6 + 2/6 = 7/6

4. 7/8 + 1/8 = 1

5. 4/5 + 3/5 = 1 2/5

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Answer:

y = \(\frac{5}{4}\) x - 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = \(\frac{5}{4}\) , then

y = \(\frac{5}{4}\) x + c ← is the partial equation

to find c substitute (- 4, - 6 ) into the partial equation

- 6 = - 5 + c ⇒ c = - 6 + 5 = - 1

y = \(\frac{5}{4}\) x - 1 ← equation of line

Answer:

Thanks!

Step-by-step explanation:

Answer:

The thumb digit has only two phalanges (bones) so it only has one joint. The index finger is more likely to develop arthritis from the pinch force that.The PIP joint is the first joint of the finger and is located between the first two bones of the finger

Step-by-step explanation:

Answer: The cumulative frequency of club members who exercise publicly for six or fewer times per week = 38

Step-by-step explanation:

The given results of the survey:

0 visits per week: 13

1-3 visits per week: 17

4-6 visits per week: 8

7 or more visits per week: 17

The  cumulative frequency of club members who exercise publicly for six or fewer times per week = Frequency for 0 visits + Frequency for 1-3 visits per week + Frequency for 4-6 visits per week

= 13+17+8

=38

Hence, the cumulative frequency of club members who exercise publicly for six or fewer times per week = 38

Given:

Bruce has a pet worm that fell into a well. The well is 37 feet deep. Each day,

the worm climbs up 7 feet, but each night, it slides back down 2 feet.

Required:

How many days will it take for Bruce's worm to get to the top of the well?

Explanation:

The calculations stetps:

Each day he climbs up 7 feet.

Each night he slides back down 2 feet.

In 24 hours, pet worm travels 7 - 2 =5 feet.

In 6 days, worm will climb up 30 feet.

On 7th day, worm will c

Answer: 6/(6+2x) ; (-infinity, -3) U (-3, infinity)

Step-by-step explanation:

(a) This can be read as f(x) composed of g(x). Plug in the expression given for g(x) for every x value in f(x):

(6/x)/(6/x+2)

I gave the terms in the denominator the same denominator to combine the bottom two terms into one term. 6/x + 2 is equal to 6/x + 2x/x -->

(6 +2x)/x

Do the classic keep, change, flip. \(\frac{6}{x} * \frac{x}{6+2x}\)

This simplifies to: \(\frac{6}{6+2x}\)

(b) Domain is all real numbers except for what makes the denominator equal to 0.     6 + 2x = 0 when x = -3. Therefore it is all real numbers except -3.

Answer:

Answer: 180 highway miles at 36 mpg (5 gals); 217 city miles at 31 mpg (7 gals).

Step-by-step explanation:

The complete order of the inverse function of the function f(x) = x + 5 is:

1. y = x + 5

2. x = y + 5

3. x - 5 = y

4. y = x - 5

The function is given as:

f(x) = x + 5

The opposite of the function f(x) = x + 5 is the inverse of the function.

So, we have:

f(x) = x + 5

Express f(x) as y

y = x + 5

Swap the positions of x and y

x = y + 5

Make x the subject of the formula

x - 5 = y

Rewrite as:

y = x - 5

Hence, the inverse function of the function f(x) = x + 5 is y = x - 5

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Answer:

  96 ft³

Step-by-step explanation:

A graphing calculator conveniently graphs this function. It shows the maximum volume is about 96 ft³.

Answer:

B. \( \frac{ {7}^{36} }{ {9}^{24} } \)

Step-by-step explanation:

\( \bigg( {9}^{6} . {7}^{ - 9} \bigg ) ^{ - 4} \\ \\ = {9}^{6 \times ( - 4)} \times {7}^{ - 9 \times ( - 4)} \\ \\ = {9}^{ - 24} \times {7}^{36} \\ \\ = \frac{ {7}^{36} }{ {9}^{24} } \\ \)