Write the slope-intercept form of the equation for the line.






Write the slope-intercept form of the equation for the line.

the slope is 3/-5!!!! if u go up 3 and to the LEFT 5 that means it is negative.

Answer:

Anna is 41 years old.

Step-by-step explanation:

Easiest way to do this is by building a equation,

Lest say Anna's age is [tex]x[/tex].

Then as Peter is 3 years older than Anna Peter's age should be [tex]x+3[/tex].

Then the combined ages of the two people is given as 85. So we can write an equation as,

[tex]x+(x+3)=85[/tex]

[tex]x+x+3=85[/tex]

[tex]2x+3=85[/tex]

[tex]2x+3-3=85-3[/tex] (deducting 3 from both sides of the equation)

[tex]2x=82[/tex]

[tex]x=41[/tex]

As we originally took Anna;s age as [tex]x[/tex]

We can say Anna is 41 years old.

y = |x| means that if -∞ < x <∞ Then y will be between 0 < ∞

The answer is that y can never equal a negative number.

7/11 in decimal form = .6363

To find the sale price after both markdowns, first apply a 20% markdown to the selling price and then apply a 30% markdown to the resulting price.

To find the sale price after both markdowns, first apply the first markdown of 20%. To do this, multiply the selling price by 0.80 (1 - 0.20), since a 20% markdown is equivalent to selling at 80% of the original price. So, the price after the first markdown is $520 x 0.80 = $416.

Next, apply the second markdown of 30% to the price after the first markdown. Multiply $416 by 0.70 (1 - 0.30) to find the final sale price. $416 x 0.70 = $291.20.

Therefore, the sale price after both markdowns is $291.20.

Answer: Option 'B' is correct.

Step-by-step explanation:

Since we have given that

∠PML = 140°

∠KHP = 20°

We need to find the measure of ∠PHJ.

Let m ∠PHJ = x°

From the graph, we conclude that

∠PML = ∠PHJ + ∠KHP (Vertically opposite angle)

[tex]140^\circ=x+20^\circ\\\\140^\circ-20^\circ=x\\\\120^\circ=x[/tex]

Hence, Option 'B' is correct.

B. The equation has one solution.

Step 1. Subtract 2 from both sides

3 + x - 2 = -3x

Step 2. Simplify 3 + x - 2 to x + 1

x + 1 = -3x

Step 3. Subtract x from both sides

1 = -3x - x

Step 4. Simplify -3x - x to -4x

1 = -4x

Step 5. Divide both sides by -4

-1/4 = x

Step 6. Switch sides

x = -1/4

Hello!

The mean of the numbers shown in the table is C. 50.5

To calculate the mean, simply add up all the numbers and divide by the amount of numbers there are in the list.

18 + 55 + 101 + 96 + 55 + 18 + 22 + 23 + 22 + 57 + 88 = 555

There are 11 numbers in the table, so we divide by that.

555 / 11 = 50.45...

Finally, round to the nearest tenth: 50.5

D

because 3*5=15 And 15*5=75

x = 21

y = 6

x = 4y - 3

x + y - 7 = 20

Because we have a value for x, we can put it in the second equation to find the value of y.

4y - 3 + y - 7 = 20

Combine like terms.

5y - 10 = 20

Add 10 to both sides.

5y = 30

Divide both sides by 5.

y = 6

Now we can place this value of y back into the equation to find the exact value of x.

x + 6 - 7 = 20

Combine like terms.

x - 1 = 20

Add 1 to both sides.

x = 21

We find he bikes 17 miles in a full hour.

Brandon bikes 8 and 1/2 miles in 1/2 hour. To find out how far he bikes in 1 hour, we need to double the distance, because one hour is twice as long as half an hour.

Miles per hour = Miles in half an hour * 2 = (8 +  1/2) miles * 2

Now, let's perform the multiplication:

8 * 2 = 16

1/2 * 2 = 1

Therefore, 16 + 1 = 17 miles per hour.

Brandon bikes 17 miles in 1 hour. This is the distance he would cover if he continues at the same pace for a full hour.

3(x-2)+5x=18

the correct answer is x=3

first simply the equation

8x=18+6

Now rid of alike terms resulting in

8x=24

now divide 24 by 8

x=3

First, we would set the number to x.

Then, we turn the words into an equation.

x+75 = 3x-39

Isolate the x.

-2x = -114

So...

x = 57

The Number is 57.

Let's call the number you're trying to find "x."

According to the information given, if 75 is added to x, the result is 39 less than three times the number, which can be expressed as:

x + 75 = 3x - 39

To solve for x, you can first get all the x terms on one side of the equation and the constant terms on the other side:

75 + 39 = 3x - x

Now, simplify the equation:

114 = 2x

To isolate x, divide both sides by 2:

x = 114 / 2

x = 57

For more such questions on Number

https://brainly.com/question/24605148

#SPJ3

In the magic penny parable, choosing a penny that doubles in value every day leads to a significant amount of money. After 8 days, you would have 256 pennies.

The magic penny parable is a story that demonstrates the power of compound interest. In the story, a person is given the choice between taking a million dollars or a penny that doubles in value every day for 30 days. By choosing the penny, they end up with over 5 million dollars at the end of 30 days.

To determine how much money you would have after 8 days, we can use the formula for compound interest:

Final amount = Initial amount * (1 + interest rate) ^ number of periods

In this case, the initial amount is 1 penny, the interest rate is 100% (as the penny doubles in value), and the number of periods is 8 days.

Using this formula, the calculation would be:

Final amount = 1 penny * (1 + 1)^8 = 1 penny * 2^8 = 1 penny * 256 = 256 pennies.

Therefore, after 8 days, you would have 256 pennies.

The aerobics class lasted 20 minutes and the yoga class lasted 50 minutes. This was determined by setting up an equation and solving for the duration of each class, given the total time and the information that the yoga class was 30 minutes longer.

The student is trying to find out how long each class was—Nicole attended an aerobics class and a yoga class for a total of 1 hour and 10 minutes, with the yoga class lasting 30 minutes longer than the aerobics class. To find the answer, we can set up an equation. Let the duration of the aerobics class be x minutes. Therefore, the duration of the yoga class would be x + 30 minutes. According to the question, the total time spent in both classes is 70 minutes (1 hour and 10 minutes).

Now, we can write an equation that represents the total time:

x (aerobics class) + x + 30 (yoga class) = 70 minutes

Combining the x terms we get:

2x + 30 = 70

To find x, we subtract 30 from both sides of the equation:

2x = 40

Dividing both sides by 2 gives us:

x = 20

So the aerobics class lasted 20 minutes, and since the yoga class was 30 minutes longer, it lasted 50 minutes.

2,486.016 miles of distance Ryan drives his car on a trip.

Given that, Ryan drives his car on a trip and goes 4,000 km.

We need to find how many miles he travels.

1 kilometre is equal to 0.621371 miles (often shortened to .62) and 1 mile is equal to 1.609344 kilometres. Thus, to convert kilometres to miles, simply multiply the number of kilometres by 0.62137.

Now, divide the number of kilometres by 1.609

That is, 4000/1.609=2,486.016 miles

Therefore, 2,486.016 miles of distance Ryan drives his car on a trip.

To learn more about the distance visit:

https://brainly.com/question/21117271.

#SPJ2

she will need to mow 8 yards because 109 divided by 15 equals 7.2 but she cant just mow 7.2 yards so you round up to 8 yards

When changing a repeating decimal to a fraction, you look at the number(s) to the right of the decimal. If there is only 1 number (0.444444...) then the number that repeats is is going to be the numerator of your fraction, with the denominator being 9 (4/9). So...

1. -1 2/9 (-1 and 2/9)

2. -5/9

5. 5 8/9 (5 and 8/9)

If there are 2 or more numbers to the right of the decimal, you add 1 "9" to the denominator per repeating number (2 repeating numbers = 99, 3 repeating numbers = 999, etc...). An example to show this would be 0.87 repeating (0.87878787... = 87/99). Therefore...

3. 27/99

4. 50/99

I hope this helps!

For the first question, divide 200 by the seconds. You would get the answer 9.07. This answer is rounded to the nearest hundredth.

The second question, you would convert that to feet by using the units 1 meter = 3.28084.

If you converted it, the answer woudl be 29.75722 ft/second

[tex]|-2 + (-1)|[/tex]

Well, first, we must subtract-2 by 1, as the negative sign next to 1 is inside the parentheses.

[tex]|-2 -1|[/tex]

[tex]|-3|[/tex]

Now remember, since it is an absolute value, meaning the distance from that number to zero, we will now disregard the negative sign and get our answer: 3

i believe the answer is B

Answer:

C: A dilation of magnitude 2 centered at the origin.

(for anyone in the future, this is correct!)

- 3 1/2 = 2x

-7 /2   = 2 x

-7 /4  = x

-1 3/4 = x

(- 3, ∞ )

the parenthesis at both ends indicates x ≠ - 3 or ∞

if x ≥ - 3 then {- 3, ∞ )

the square bracket on the left indicates x can equal - 3

Final answer:

The inequality x > -3 in interval notation is (-3, ∞), which means that the solution set for x includes all values greater than -3, but does not include -3 itself.

Explanation:

When the inequality x > -3 is written in interval notation, it means that the solution set for x includes all values greater than -3, but does not include -3 itself. In interval notation, we use a round bracket to indicate that -3 is not included in the solution set. The interval notation for x > -3 is (-3, ∞). This notation represents a half-open interval, where -3 is excluded but all values greater than -3 are included. The symbol ∞ represents infinity, indicating that there is no upper bound for the values of x in this inequality.

The answer is 15. Take 180/12. 12  can only go into 18 1 time with a remainder of 6. bring down the 0 12 goes into 60 5 times for 60.

The solution to the given number division 180 divided by 12 is: 15

When dividing two numbers, we know that the number that will be in the numerator part is called Dividend while the number that will be in the denominator part is called Divisor.

Thus:

180/12

180 is the dividend while 12 is the divisor

Factors of 180 are  1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180.

Factors of 12 are 1, 2, 3, 4, 6 and 12.

However, 12 is also a factor of 180 and the number that it is multiplied by to get 180 is 15. Thus:

180/12 = 15

Read more about number division at: https://brainly.com/question/30126004

#SPJ6

38.9e i think 60% sure