It is known that the point P(-9,18) belongs to the graph of the function y=k/x. Find k.

Answer:

22

Step-by-step explanation:

a=larger number     b= smaller number

a=2b-10,  a+b=38

2b-10+b=38

3b=48

3b/3=48/3

b=16

a+16=38

a=38-16

a=22

The inequality which is used to find the number of cups of yogurt Monica can buy is,

[tex]1.20x+2.5\leq20[/tex]

Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.

Monica needs to buy a gallon of milk that costs $2.50. She also wants to buy yogurt, which costs $1.20 a cup. Let suppose the number of cups of yogurt bought by Monica is x.

As she has only $20. Thus, the inequality expression which can be used for this condition is,

[tex]1.20x+2.5\leq20[/tex]

Solve the above equation and find the value of x,

[tex]1.20x\leq20-2.5\\1.20x\leq17.5[/tex]

Divide both side with 1.20,

[tex]x\leq\dfrac{17.5}{1.20}\\x\leq14.58\overline3[/tex]

Hence, the number of cups she can Monica is 14.

Thus, the inequality which is used to find the number of cups of yogurt Monica can buy is,

[tex]1.20x+2.5\leq20[/tex]

Learn more about the inequality equation here:

https://brainly.com/question/17724536

Answer:

b

Step-by-step explanation:

A simple algebra equation!

You have to replace each x with 4, so the equation would look like this:

-4·4+1.5·4-2.5-2·4-6.5

Evaluate the terms, you get:

-16+6-2.5-8-6.5

Then you add and subtract where needed:

-10-16 = -27

And that's the final answer!

ANSWER: 27

Answer:

344miles

Step-by-step explanation:

if 258=3/4

=1

258÷3/4=344

Answer:

344 miles

Step-by-step explanation:

258 ÷ 3/4 = 344

1) Height of local building = 10 feet

2) Intial velocity of a fireworks = 100 ft/sec

3) h(t) = -16t^2 + h  

Answer: everything looks correct from my side

Step-by-step explanation:

Length of board will be 32 1/2 inch.

What is Addition?

A process of combining two or more numbers is called addition.

Given that;

Length of board after cutting are;

7 1/2 inches, 10 1/2 inches, 9 inches, and 5 1/2 inches.

Now, Total length of board is calculated as sum of all cut lengths.

So, Total length of board = 7 1/2 +10 1/2 + 9 + 5 1/2

                                      = 15/2 + 21/2 + 9 + 11/2

                                      = 47/2 + 9

                                      = 65/2

                                      = 32 1/2

Thus, Length of board will be 32 1/2 inch.

Learn more about the addition visit:

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#SPJ5

Answer:

A

Step-by-step explanation:

Multiply 13.9 and 3.85

Answer:

IS A

Step-by-step explanation:

youre welcome

Answer:

HOPE THIS HELPS

Step-by-step explanation:

You need to first plot the points on the graph.

Since, it says you need to reflect across x axis, you need same number of square units.

For example, P has the coordinates( -2,3 ). -2 lies on the x axis, so the point doesn't go neither left nor right. It is 3 squares above the x axis, so the reflected point should be 3 squares below the x axis. Likewise, you can do the other points.

Hope it helps :)

Answer:

Step-by-step explanation

Perpendicular lines have slopes that are negative reciprocals of one another.

so, in this case, the given slope is 2.

The negative reciprocal of that would be -1/2.

so far, our equation looks like: y=-1/2x+b

now, take the point given to us, (-4,2) and plug it into the y and x values.

2= -1/2(-4) +b

2= b+2

b=0

Our y intercept is zero, so our final answer will be:

[tex]y=-\frac{1}{2} x[/tex]

Answer:

1,6,14,21, and 42 are not prime numbers of 42.

Step-by-step explanation:

42
21x2(done)
7(done)x3(done)

2, 3, and 7 are prime numbers of 42

Answer:

6

Step-by-step explanation:

because prime numbers are numbers with two factors one and the number itself and 6 is having more than two factors.

The Carlos pay in service charges is $1721.3  

We have given that the Carlos took seven years to pay off his loan by making identical quarterly payments.

The loan had a principal of $22,375 and 5.49% interest, compounded quarterly.

P=22375 and interest rate =5.49%

Carlos paid a total of $28,821.67.  

We have to find how much did Carlos pay in service charges

First we find the monthly payment of the loan

The formula for monthly payment is,

[tex]M=\frac{amount}{discount}[/tex]

Discount factor

[tex]P=\frac{1-(1+i)^{-n}}{i} \\[/tex]

Where, Amount = $22,375 and r=0.0549 and compounded quarterly therefore n=4

[tex]i=r/n=0.0599/4[/tex]

i=0.0137

Time =7 years

[tex]n=4\times 7=28[/tex]

Now put all the values in above formula we get

[tex]P=\frac{1-(1+0.01372)^{-28}}{0.01372}\\\\P=\frac{1-(1+0.1372)^{-28}}{0.01372}\\\\P=\frac{1-0.6827}{0.01372}\\\\P=\frac{0.3172}{0.01372}\\\\P=23.11[/tex]

Monthly payment,

Use the value in the formula of monthly payment

[tex]M=\frac{22375}{23.1177}[/tex]

[tex]M=967.871[/tex]

The payment he has for for 7 years compounded quarterly that is  for 28

Therefore the payment,

[tex]Payment= 967.871 \times 28 = $27100.39[/tex]

[tex]Service charges = Total payment - payment[/tex]

                           [tex]= $28,821.67 - $27100.39[/tex]

                           [tex]= $1721.27[/tex]

Therefore, Carlos pay in service charges is $1721.3

To learn more about the monthly payment visit:

https://brainly.com/question/2151013

Answer:

a

Step-by-step explanation:

just took test on edge

Answer:

A

Step-by-step explanation:

We have the graph of the function f(x).

We want to determine which of the given is true of the graph from [tex]x=g[/tex] to [tex]x=\infty[/tex].

So, essentially, we are focusing on the last curve (see image below).

First, since the curve is above the x-axis, the curve is positive.

Second, since the curve is curving upwards, this means that it must be increasing. Another way to think about this is to think about the slope of our curve. While we can't calculate the exact slope, the average slope will be positive, so our function is increasing.

So, our answer is A.

And we're done!

Answer:

Step-by-step explanation:

The first probability of it being red = 5/11

The key to the question is that you replace the red marble you took out. So there are still 5 red marbles.

You still have a 5/11 chance of getting a red marble.

P(red + red) = 5/11 * 5/11

Answer

P(red + red) = 25 / 121

f(x) = 2(x - 3) + 4

For finding f(-8) just substitute the value of x as -8

f(-8) = 2{(-8) - 3} + 4

= 2{-11} + 4

= -22 + 4

= -18

Answer:

-18

Step-by-step explanation:

substitute x with -8

solve normally

Answer:

208 square feet

Step-by-step explanation:

Area (shaded) = Area (rectangle) - Area(triangle)

= (17 x 16) - 1/2(16 x 8)

= 16 (17 - 4)

= 16 (13)

= 208 square feet

Answer:

Yes because of the commutative property

Answer:

A

Step-by-step explanation:

the order does not matter just the numbers and signs

Answer as a compound inequality: [tex]-4 \le y < 2[/tex]

Answer in interval notation:  [-4, 2)

=============================================

Explanation:

The range is the set of all possible y outputs of a function. When dealing with a graph like this, we just look at the highest and lowest points to determine which y values are possible.

The lowest point occurs when y = -4. We include this value. So far we have [tex]y \ge -4[/tex] which is the same as [tex]-4 \le y[/tex]

The upper ceiling for the y value is y = 2. We can't actually reach this value because of the open hole at (-3,2). So we say that [tex]y < 2[/tex]

Combine [tex]-4 \le y[/tex] and [tex]y < 2[/tex] to get the compound inequality [tex]-4 \le y < 2[/tex]

This says y is between -4 and 2, including -4 but excluding 2.

To convert this to interval notation, we write [-4, 2) where the square bracket says to include the endpoint and the curved parenthesis says to exclude the endpoint.

Answer:

Refer to the above attachments....

Hope it helps you....

Answer:

Thanks for the free points.......xd

Answer:

26 x 2

Step-by-step explanation:

40% of 130 = 52

26 x 2 = 52

Answer: 26x2

Step-by-step explanation:

Answer:

C 13

Step-by-step explanation:

2 right-angled triangles. so, Pythagoras applies for both.

c² = a² + b²

with c being the Hypotenuse (the side opposite of the 90° angle).

starting with the small triangle we have

5² = 3² + x-part²

x-part² = 5² - 3² = 25 - 9 = 16

x-part = 4 cm

the markers indicate that x-part as the third side of the small triangle is exactly as long as the other part of x.

that means

x = 2 × x-part = 2 × 4 = 8 cm

for the large triangle we then get

y² = x² + 15² = 8² + 225 = 64 + 225 = 289

y = 17 cm

and so,

y - x = 17 - 8 = 9

but that is not an answer option.

and now it dawned on me : x was not meant to be the whole third side of the large triangle. x is supposed to be only the upper part of that side, above the small triangle.

in essence, x is what I originally called "x-part".

so, the Pythagoras calculations remain basically the same, but we should name things differently like

5² = 3² + small-side²

small-side = 4 cm

x = small-side = 4 cm

long-side = 2 × small-side = 2 × 4 = 8 cm

y² = long-side² + 15² = 8² + 15² = 64 + 225 = 289

y = 17 cm

and the actual y - x = 17 - 4 = 13 cm

Answer:

Step 1 - Find Whole Number

Calculate out how many times the denominator goes into the numerator. To do that, divide 6 by 5 and keep only what is to the left of the decimal point:

6 / 5 = 1.2000 = 1

Step 2 - Find New Numerator

the answer from Step 1 by the denominator and deduct that from the original numerator.

6 - (5 x 1) = 1

Step 3 - Get Solution

Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer. 6/5 as a mixed number is:

1 1/5

Step-by-step explanation:

very far, but it can come to beaches as well

Answer:

B

Step-by-step explanation:

If the area of the whole rectangle is 56 square miles then just divide that by the width (7).   56 / 7 = 8. Hope this helps!

Answer:

(180-110)/7

Step-by-step explanation:

angles on a straight line add up to 180

Answer:

nope ummm a negative number times another negative is positive. whats your question tho?

========================================================

Explanation:

A full circle of radius r has the circumference of

C = 2*pi*r

A semicircle will have us divide this value in half

2pi*r turns into pi*r

The curved distance along the top is roughly pi*r = pi*5 = 3.14*5 = 15.7 cm.

Add this onto the straight line distance along the bottom to arrive at 15.7+10 = 25.7 cm