Find the value of k if it is known that the line y=kx+2 goes through point P (−7, 12)

The graph of the line would get less steep.

(APEX approved~)

Answer:

D) Less steep.

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

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

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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.

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.

6•50=$3.00 pennies

5•40=$2.00 nickels

50•10=$5.00 dimes

25•40=$10.00 total $20.00

Answer: $63

Step-by-step explanation:

Penny = $0.01

Nickel = $0.05

Dime = $0.1

Quarter= $0.25

Number of pennies = 6(50) = 300

Number of nickels = 5(40)= 200

Number of dimes = 4(50)= 200

Number of quarters = 3(40) = 120

Total amount of money:

300(0.01)+ 200(0.05) + 200(0.1) + 120(0.25) = $63

the volume (V ) of a cuboid is V = Ah

where A is the area of the base or top and h is the height

h = 180 cm = 1.8m

V = 0.6 × 1.8 = 1.08 m³

The volume of the refrigerator is calculated by converting its height from centimeters to meters (180 cm = 1.8 m) and then multiplying it by the given area of the top (0.6 m²), resulting in a volume of 1.08 cubic meters.

To calculate the volume of the refrigerator, we need to use the formula for the volume of a rectangular prism, which is Volume = length x width x height. We already have the area of the top of the refrigerator, which is a product of its length and width, and we're given the height. However, firstly we need to ensure that all units are in meters.

Convert the height from centimeters to meters: 180 cm = 1.8 m.

Now, we can calculate the volume: Volume = Area x Height = 0.6 m² x 1.8 m = 1.08 m³.

Therefore, the refrigerator has a volume of 1.08 cubic meters.

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!

(- 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.

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

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

Question says that a yogurt shop allows its customers to add, for no charge, 3 toppings to any yogurt purchased. Also the store has 15 possible toppings.

Now we need to find about how many different 3-topping combinations can a customers choose.

To find that we just need to apply combination formula

[tex]C(n,r)=\frac{n!}{r!(n-r)!}[/tex]

which is used to select r items out of n items

we have to find combination of 15 toppings into 3 toppings so we calculate C(15,3) using above formula

[tex]C(15,3)=\frac{15!}{3!(15-3)!}[/tex]

[tex]C(15,3)=\frac{15!}{3!*12!}[/tex]

[tex]C(15,3)=\frac{15*14*13*12!}{3!*12!}[/tex]

[tex]C(15,3)=\frac{15*14*13}{3!}[/tex]

[tex]C(15,3)=\frac{2730}{6}[/tex]

[tex]C(15,3)=455[/tex]

Hence final answer is 455.

Answer:

only 455

Step-by-step explanation:

i have a ? how do you know when its C(n,r) and not P(n,r)

Yes, this relationship is proportional.

Answer:

Yes, the relationship is proportional

Step-by-step explanation:

This is because the number of hours (x) is multiplied by the same number, 7.5, meaning that all of the values will be proportional (create a straight/linear line on a graph when the points are plotted).

[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

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

- 3 1/2 = 2x

-7 /2   = 2 x

-7 /4  = x

-1 3/4 = x

Answer:

The correct option will be:  B) 2,500

Step-by-step explanation:

Nikita invest 2000 into a bank account with a 4% annual interest rate.

So, the amount of interest in one year will be:  [tex](2000*0.04)= 80[/tex]

and the amount of interest in 7 years will be: [tex](80*7)=560[/tex]

Thus, the total money in her account after 7 years [tex]=(2000+560)=2560[/tex]

So, the most expensive item she can afford to buy will be:  2500

Answer:

The answer is (a mountain bike priced at $2,500) In Plato

Step-by-step explanation:

38.9e i think 60% sure

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

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.

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D

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

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:

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.

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