please solve with steps how to do this exponets and signed fraction problem
( - 1/4) 2

Answer:

The answer is C) (6, -2).

Step-by-step explanation:

First, subtract both sides by y in the first equation, to figure out what x is.  

x+y-y=4-y

x=4-y

x is equal to 4-y. Use substitution to plug that in to the second equation for x.

2x-3y=18

2(4-y)-3y=18

Now, solve for y. Expand.

2(4-y)-3y=18

8-2y-3y=18

Combine like terms.

8-2y-3y=18

8-5y=18

To get y by itself, subtract 8 from both sides.

8-8-5y=18-8

-5y=10

Lastly, divide both sides by -5.

-5/-5y=10/-5

y=-2

Since we know that y is equal to -2, we can solve for x in the equation x=4-y.

x=4-y

x=4-(-2)

*Negative & Negative makes a Positive*

x=6

Therefore, your answer is x being equal to 6, and y being equal to -2.

Hope this helped!

Final answer:

To solve the system of linear equations, we first solve one equation for a variable and then substitute it into the other. Through simplification and combination of like terms, we find that the solution is (6, -2), which is option C.

Explanation:

The subject question involves solving a system of linear equations. We are given the first equation, x + y = 4, and the second equation, 2x - 3y = 18. To find the solution, we will use the method of elimination or substitution to solve for the values of x and y.

Step-by-Step Solution

Solve the first equation for y: y = 4 - x.

Substitute y in the second equation: 2x - 3(4 - x) = 18.

Simplify: 2x - 12 + 3x = 18.

Combine like terms: 5x = 30.

Divide by 5: x = 6.

Substitute x in the first equation: 6 + y = 4.

Solve for y: y = -2.

The solution to the system of equations is (6, -2), which corresponds to option C.

Answer: Last option.

Step-by-step explanation:

By definition, Inverse variation equations  have this form:

[tex]y=\frac{k}{x}[/tex]

Where "k" is the constant of variation.

In this case, it is:

[tex]g(n)=\frac{k}{n}[/tex]

Knowing that [tex]g(n) = 8[/tex] when [tex]n = 3[/tex], we can substitute values into the equation and solve for "k":

[tex]8=\frac{k}{3}\\\\8*3=k\\\\k=24[/tex]

Therefore, we can find the value of "n" when [tex]g(n) = 6[/tex] by substiuting this value and the value of "k" into the equation and solving for "n". Then:

[tex]6=\frac{24}{n}\\\\6n=24\\\\n=\frac{24}{6}\\\\n=4[/tex]

Answer: 7(1+2x)

Step-by-step explanation:

7 and 14 can be divided by 7. As a result, you take 7 out and bam!

Answer:

I'm pretty sure the answer is 5.2h-2.9d-16

The pebble hits the ground approximately 8.88 seconds after it is thrown, based on the given equation for its height.

To find out when the pebble hits the ground, we need to find the time when the height h(t) equals 0.

Given that the height h(t) of the pebble after t seconds is given by the equation:

[tex]\[ h(t) = -16t^2 + 16t + 1400 \][/tex]

We set h(t) to 0 and solve for t:

[tex]\[ -16t^2 + 16t + 1400 = 0 \][/tex]

Now, we can use the quadratic formula to solve for t :

[tex]\[ t = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}} \][/tex]

where a = -16, b = 16, and c = 1400.

Plugging these values into the quadratic formula:

[tex]\[ t = \frac{{-16 \pm \sqrt{{16^2 - 4(-16)(1400)}}}}{{2(-16)}} \]\[ t = \frac{{-16 \pm \sqrt{{256 + 89600}}}}{{-32}} \]\[ t = \frac{{-16 \pm \sqrt{{89856}}}}{{-32}} \]\[ t = \frac{{-16 \pm 300.1}}{{-32}} \][/tex]

We'll ignore the negative solution because time can't be negative in this context. So, we use the positive solution:

[tex]\[ t = \frac{{-16 + 300.1}}{{-32}} \]\[ t = \frac{{284.1}}{{-32}} \]\[ t \approx -8.88 \][/tex]

Since time can't be negative, we discard this solution. The only meaningful solution is when the pebble hits the ground. Thus, the pebble hits the ground approximately 8.88 seconds after it is thrown.

Answer:

Part A: Section A- 8, Section B- 32.

Part B: 4 times.

Step-by-step explanation:

The function is given by [tex]f(x) = 4(2)^{x}[/tex].

Section A is from x = 1 to x = 2.

Now, f(1) = 4 × 2 = 8 and f(2) = 4 × 2 × 2 = 16

Again, section B is from x = 3 to x = 4.

Now, f(3) = 4 × 2 × 2 × 2 = 32 and f(4) = 4 × 2 × 2 × 2 × 2 = 64

Part A:

In section A, the average rate of change is = [tex]\frac{f(2) - f(1)}{2 - 1} = 16 - 8 = 8[/tex] (Answer)

And in section B, the average rate of change is  = [tex]\frac{f(4) - f(3)}{4 - 3} = 64 - 32 = 32[/tex] (Answer)

Part B:

Therefore, the number of times the average rate of change of section B is greater than section A is [tex]\frac{32}{8} = 4[/tex] (Answer)

Answer:

Part A: Section A- 8, Section B- 32.

Part B: 4 times.

Step-by-step explanation:

The function is given by .

Section A is from x = 1 to x = 2.

Now, f(1) = 4 × 2 = 8 and f(2) = 4 × 2 × 2 = 16

Again, section B is from x = 3 to x = 4.

Now, f(3) = 4 × 2 × 2 × 2 = 32 and f(4) = 4 × 2 × 2 × 2 × 2 = 64

Part A:

In section A, the average rate of change is =  8

And in section B, the average rate of change is  =  32

Part B:

Therefore, the average rate of change of section B is greater than section A is (32 / 8 = 4)

Answer:

(a) P  =  - 200 T + 9,400

(b) After 22  months the student  will owe $5000.

Step-by-step explanation:

Here, the amount loaned out to the student = $9,400

The installment amount of each month  = $200

(a) P : Amount remaining to be paid

    T: time in months

Now, the remaining amount = Actual amount - Amount paid in T months

or,      P = 9,400 - $200 (T)

⇒ P  =  - 200 T + 9,400 ( y = mx + C form)

(b) The remaining amount left = $5000

As we know, P = 9,400 - $200 (T)

⇒ 5,000 = 9,400 - 200 T

⇒200 T = 9,400 - 5,000 = 4,400

⇒ T = 4400/200 =  22

or T = 22 Months

Hence,  After 22  months the student  will owe $5000.

Answer:

f=2

Step-by-step explanation:

1.25f+2.75f= 10-2

You must take positive two to the other side to get negative 2. Also, you should take the negative 2.75f to the other side to get positive 2.75f.

4f= 8

f= 2

Answer:

f=2

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

7x+4

7(6)+4

42+4

46

Step-by-step explanation:

7x+4=6

substitute 6 in x

7(6)+4

42+4=46

Answer:

Persian-Maine Coon-American Shorthair

Step-by-step explanation:

If you look back at the question, you will see the numbers 13.65,13.07, and 13.6. So, we'll do this by digits.

The first digit of all the numbers is 1. So we'll move on. The second digit is a3, of which all numbers have in common. So we'll move on again. So now ur down to the digits 6, 0, and 6. Well, 13.07 belongs to the Persian. Then You'll see a 6, which belongs to the Maine coon. Lastly, you have another 6, which goes to the American shorthair. Correct me if i'm wrong :-)

Answer:

4.03

Step-by-step explanation:

Y = kx

y = 24.18

x = 6

k = constant of proportionality

Y =kx

Step 1. Substitute number based on the formula

24.18 = k6

Step 2. Transpose Y to the left to find the ratio of constant proportionality

K = 24.18/6

Step 3. Divide Y over X

K = 4.03 (answer)

I'm not 100% sure about part A, but it looks like a regular hexagon is being constructed. Though some marks seem to be missing. Again I'm not fully certain.

But I'm sure about parts B and C.

For part B, this is showing the construction of the perpendicular bisector to segment AB. The perpendicular bisector is perpendicular to the given segment and it cuts the given segment AB in half.

In part C, a line is being constructed to go through point R such that it is parallel to line PQ.

Answer:    -1.75

Step-by-step explanation:

Answer:

-1.75 is the answer ....

answer: 74

explanation:

7-3=4

74

+47

---

121

Answer:

Step-by-step explanation:

In a two-digit number we have the unit's digit and the ten's digit. The unit's digit is represented by [tex]u[/tex]. Then ten's digit must be represents with a number 10 as a coefficient, and the variable would be [tex]d[/tex]. So, the numerical vale of the number would be:

[tex]10d+u[/tex]

Also, we know that [tex]d=u+3[/tex], because the unit digit is three less than tens digit, or tens digit is three more units than the unit digit.

Then, the sum of the reversed number and the original number is 121, this would be expressed:

[tex]10d+u+10u+d=121\\11d+11u=121[/tex]

But, we know that [tex]d=u+3[/tex], so, we replace it:

[tex]11(u+3)+11u=121\\11u+33+11u=121\\22u+33=121\\22u=121-33\\u=4[/tex]

Then, if tens digits is 3 more, [tex]d=7[/tex]

Therefore, the digits are 7 and 4. The number would be 74.

Answer:

The group lose each day 8.8 pounds.

Step-by-step explanation:

Given:

Fitness club members lose a combined total of 28 kilograms in 1 week.

There are approximately 2.2 pounds in 1  kilogram.

The weight loss happened at a constant rate.

Now, to find the pounds of weight the group lose in each day.

In 1 week the group lose = 28 kilograms.

So, in 1 day the group lose [tex]=28\div 7 kilograms[/tex]  (1 week = 7 days)

                                            [tex]=4 kilograms.[/tex]

According to question:

1 kilogram = 2.2 pounds.

So, 4 kilograms [tex]= 2.2\times 4 = 8.8 pounds.[/tex]

Therefore, the group lose each day 8.8 pounds.

Answer: $480.

Step-by-step explanation:

1 year = 12

2 years = 24

$20 × 24 = $480

Answer:

$480

Step-by-step explanation:

so there is 12 months in a year but 2 years is 24 months so just do 24 times the 20 dollars on book for each month and you get that he spends $480 in 2 years

(24 times 20=$480)

Answer:

Let the worth of the property be x

0.8x/100 = 2068

8x = 2068000

x = 258500 Rs.

Hope this helps!

Answer:

They will be picked up at 2 [tex]\frac{1}{4}[/tex] yards above sea level

Step-by-step explanation:

Let us consider sea level as reference and positions above sea level as positive and below sea level as negative.

With respect to this reference,

the position of top most point is +17 [tex]\frac{3}{4}[/tex] yards

and the position of lower most point is -13 [tex]\frac{1}{4}[/tex] yards

⇒ The position of midpoint is [tex]\frac{+17 \frac{3}{4} - 13 \frac{1}{4}}{2}[/tex]

                                              = +2 [tex]\frac{1}{4}[/tex]

∴ They will be picked up at 2 [tex]\frac{1}{4}[/tex] yards above sea level

Answer:

1099.3

Step-by-step explanation:

9 hundreds = 900

9 ones = 9

19 tens = 190

3 tenths = 0.3

Answer:

1099.3

Step-by-step explanation:

9 hundreds          => 900

19 tens                  =>  190

9 ones                  =>      9

3 tenths                 =>       0.3

This number is:           1099.3

Answer:

Do you have a photo

Step-by-step explanation:

I'll be happy to help

Answer:

$18.20/0.65=28 minutes

Step-by-step explanation:

$18.20 was the cost of the rental divide it by the cost per minute and that will give you the total number of minutes used which is 28.

Answer:

since one mins = 0.65

for 18.20= 18.20/0.65= 28mins

Answer: 6 goes into 26 4 times.

Step-by-step explanation:

Because 6 * 10 is 60, we know that it cannot be more than 10.

5 * 6 = 30, so we know it cannot be more than 5.

6 * 4 = 24. Because we cannot add 6 more, we know that 24 is the highest we can go.

Answer:

4 with remainder of 2

Step-by-step explanation:

26/6=4 2/6=4 1/3

The expression that represents the situation is 0.65 x = 18.2

The tool used for 28 minutes

Step-by-step explanation:

The given is:

Assume that the tool rent for x minutes

∵ The tool rental cost is $0.65 per minute

∵ The number of minutes is x

∵ The total bill for the rental = $18.20

∴ 0.65 x = 18.20

The expression that represents the situation is 0.65 x = 18.2

Solve the equation to find x

∵ 0.65 x = 18.20

- Divide both sides by 0.65

∴ x = 28

The tool used for 28 minutes

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Answer:

x = 3 , y = 5

Step-by-step explanation:

Solve the following system:

{3 y - 7 x = -6 | (equation 1)

3 y - 3 x = 6 | (equation 2)

Subtract 3/7 × (equation 1) from equation 2:

{-(7 x) + 3 y = -6 | (equation 1)

0 x+(12 y)/7 = 60/7 | (equation 2)

Multiply equation 2 by 7/12:

{-(7 x) + 3 y = -6 | (equation 1)

0 x+y = 5 | (equation 2)

Subtract 3 × (equation 2) from equation 1:

{-(7 x)+0 y = -21 | (equation 1)

0 x+y = 5 | (equation 2)

Divide equation 1 by -7:

{x+0 y = 3 | (equation 1)

0 x+y = 5 | (equation 2)

Collect results:

Answer:  {x = 3 , y = 5

Answer:

(3, 5)

Step-by-step explanation:

−7x + 3y = −6

−3x + 3y = 6

Subtract the second equation from the first.

−4x = −12

x = 3

Then substitute. → −7x + 3y = −6 → −7(3) + 3y = −6

y = 5

Dimensions of rectangular garden is: length = 39 feet and width = 18 feet

Given that length of the rectangle garden is three more than twice its width.

The perimeter of the garden is 114 feet

Need to determine width of the garden

Let assume width of the garden be represented by variable "x"

=>Twice of the width = [tex]2 \times x = 2x[/tex]

=> 3 more than Twice of the width= 3 + 2x = 2x + 3

As length of the rectangle garden is three more than twice its width ,

=> Length of the rectangle garden = 2x + 3  

Perimeter of the rectangle = 2( length + width)

=> Perimeter of the rectangular garden = 2 (Length of the rectangle garden + width of the garden)

= 2 (2x + 3 + x) = 2 (3x + 3 ) = 6x + 6

=> Perimeter of the rectangular garden = 6x + 6

As it is also given that Perimeter of the rectangular garden = 114 feet

=> 6x + 6 = 114 feet

=> 6x = 114 – 6

x = 18

Width of the garden = x = 18 feet

Length of the garden = = 2x + 3 = 2(18) + 3 = 39 feet

Hence dimensions of rectangular garden is length = 39 feet and width = 18 feet

Answer:

115

Step-by-step explanation:

1/10 of 850= 85

he spent and additional RS 85 on its repairs

cost price + repairs price =935

he sold it for 1050

to find his gain =1050-935

=115

Final answer:

James's speed in miles per hour is calculated by dividing the distance walked (3 3/4 miles) by the time taken (7/8 hour), resulting in an average speed of approximately 4.29 miles per hour.

Explanation:

To calculate James's speed in miles per hour, we first need to determine how many hours he was walking. Since he walked for 7/8 of an hour, we then divide the distance he walked, 3 3/4 miles, by the time in hours to find his speed. The calculation is as follows:

Speed = Distance / Time

Convert 3 3/4 miles to a decimal, which is 3.75 miles. Then take 7/8 hour and convert to decimal form, which is approximately 0.875 hours. Therefore:

Speed = 3.75 miles / 0.875 hours = 4.29 miles per hour (rounded to two decimal places).

Thus, James's average speed was approximately 4.29 miles per hour.

Answer:

(a)The cost of per ounce of yogurt = $0.45

(b) The the cost of Reid's bowl = $3.51

Step-by-step explanation:

Here, according to the question :

The cost of 9.2 ounce yogurt bowl = $4 .14

The cost of 8.1 ounce yogurt bowl = $3.65

(a) Now, [tex]\textrm{Cost of 1 ounce of yogurt}  = \frac{\textrm{Price of n ounce of yogurt}}{\textrm{ n}}[/tex]

= [tex]\frac{\textrm{Price of 9.2 ounce of yogurt}}{\textrm{ 9.2}} = \frac{4.14}{9.2}   = 0.45[/tex]

So, the cost of per ounce of yogurt = $0.45

(b) Now, the amount if yogurt in Reid's Bowl =  7.8 ounces

So, the total cost of her bowl  with 7.8 ounce yogurt  = 7.8 x ( cost of 1 ounce of yogurt)

= 7.8 x ( $0.45) = $3.51

So, the the cost of Reid's bowl = $3.51

Answer:

A) $0.45 per oz

B) $3.51

4.14/9.2 = 0.45

0.45 x 7.8 = 3.51

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Twenty times a square of a positive integer, plus 50 equals negative 40 times the square of the positive integer, plus one-hundred and ten times the positive integer. Which equation could be used to solve for the unknown positive integer.

A) 60x2 + 110x + 50 = 0  

B) 60x2 + 110x − 50 = 0  

C) 60x2 − 110x + 50 = 0  

D) 60x2 − 110x − 50 = 0

The correct equation to solve for the unknown positive integer is 60x^2 - 110x + 50 = 0.

To solve for the unknown positive integer, you'll need to form an equation. Start by writing down the mathematical expressions as given in the equation.

20x^2 + 50 = -40x^2+ 110x based on the statement given. Then, to simplify the equation, combine like terms. To do this, you'll need to move -40x^2 to the left side of the equation and move 50 to the right side of the equation. This gives us: 20x^2 + 40x^2 =  110x - 50. The result is 60x^2 - 110x + 50 = 0. The correct answer is choice C: 60x^2 - 110x + 50 = 0.

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Answer: 6, 570

Step by step explanation:  If Minnie and Mickey have 5 girls and 5 boys every 3 weeks for 52 weeks this means they will have 17 pregnancies. At the end of one year Minnie and Mickey alone will have produced 170 children. It takes these children 6 weeks to grow up and be ready to reproduce. Every 6 weeks 10 new rats will be able to have children at a rate of 10 per 3 weeks. This means that a single set of 10 offspring will have 100 children every 3 weeks. There will be 8 sets of offspring that can reproduce before the year is over. This means if the sets have 100 children every 3 weeks starting with one set and adding one more set every 6 weeks, at the end of the year the offspring's offspring will total 6,400. 6,400 + 170 will equal 6,570. The total population is 6,570.