16. Mario has $15. He spends $6.25 on admission to the ice
skating rink, $2.95 to rent skates, and $1.65 each for 2 hot
chocolates. How much money does he have left?

Answer:(2 * 3, 1 * 3)

Step-by-step explanation:

Answer: The height of the building = 14.5 feet.

Step-by-step explanation:

Given: Length of ladder = 15 feet

Distance of base of ladder from building = 4 feet

Since building is standing vertical on ground making right angle.

So with ladder a right triangle is formed , where base = 4 feet , Hypotenuse = 15 feet [Hypotenuse is side opposite to right angle]

According to the Pythagoras theorem ,

Hypotenuse² = Perpendicular² + Base²

⇒ (15)² =  Perpendicular² +  (4)²

⇒ 225 = Perpendicular² +16

⇒ Perpendicular² = 225 -16

⇒ Perpendicular² = 209

⇒  Perpendicular = √209 = 14.4568322948 ≈ 14.5 feet

Hence, the height of the building = 14.5 feet.

Answer:

Step-by-step explanation:

1). a(x) = -4x + 7  If x > 1

   a(8) = -4(8) + 7

          = -32 + 7

          = -25

2). a(x) = 2x - x² If -6 < x ≤ 1

    a(1) = 2(1) - 1²

           = 2 - 1

           = 1

3). a(x) = |x - 8| If x ≤ -6

   a(-7) = |- 7 - 8|

           = |-15|

           = 15

4). a(x) =  2x - x² If -6 < x ≤ 1

   a(-3) = 2(-3) - (-3)²

           = -6 - 9

           = -15

5). a(x) =  2x - x² If -6 < x ≤ 1

    [tex]a(-\frac{1}{2})=2(-\frac{1}{2})-(-\frac{1}{2})^{2}[/tex]

               = - 1 - [tex]\frac{1}{4}[/tex]

               = [tex]-\frac{5}{4}[/tex]

6). a(x) = -4x + 7 If x > 1

    [tex]a(\frac{9}{4})=-4(\frac{9}{4})+7[/tex]

            = -9 + 7

            = -2

Answer:

First one

Step-by-step explanation:

Supplementary angles basically means which angles added together equals 180 degrees, 180 degrees is also a straight line.

So the answer would be the first one because both the angles added together is 180.

Answer:

x ≤ 3

Step-by-step explanation:

Answer:

The value of x is 2.

Step-by-step explanation:

The key to this solution is to combine like terms.

2x-3 > 11-5x

There are lots of ways to combine them but the way I think would be the most simple would be to avoid negative numbers (although I personally enjoy it) but anyways,

First, you can add 5x to both sides of the inequality.

This would cancel out 5x and leave you with: 7x-3 > 11

The next terms that you can combine can be the constants. You can combine -3 and 11 and to do that, you add 3 on both sides. That would cancel 3 out and leave you with: 7x > 14

Now, the last step is to get x by itself and to do that, you divide 7 on both sides to get:

x > 2

I hope my explanation wasn't too confusing for you

Step-by-step explanation:

i am 90% sure this is correct

Answer:

Step-by-step explanation:

Do multiplication first since it comes before the division in this equation

1/5 · 1/2 = 1/10

Plug this value back into the equation

1/2 - 1/10 + 2/5 ÷ 7/10

Divide 2/5 by 7/10

4/7

Plug this value back into the equation

1/2 - 1/10 + 4/7

Subtract 1/10 from 1/2

2/5

Plug this value back into the equation

2/5 + 4/7

Add.

34/35

Hope this helps :)

Please consider Brainliest :)

Answer:

True

Step-by-step explanation:

The communative property states that the order in addition and multiplication dosen't matter.

Answer:

x(8xsquare+6x-20)

Step-by-step explanation:

Answer:

[tex]x(2x+4)(4x-5)[/tex]

Step-by-step explanation:

[tex]x(8x^{2} +6x-20)\\x(2x+4)(4x-5)[/tex]

Answer:

The volume of the cylinder is decreasing at a rate of 83629.2 m³/h.        

Step-by-step explanation:

The volume of a is given by:

[tex] V = \pi r^{2}h [/tex]

Where:

r: is the radius = 55 m

h: is the height = 88 m

We can express the rate of change of the volume of the cylinder as follows:

[tex] \frac{dV}{dt} = \pi[h\frac{2rdr}{dt} + r^{2}\frac{dh}{dt}] [/tex]

If dr/dt = 11 m/h and dh/dt = -44m/h, we have:

[tex] \frac{dV}{dt} = \pi[88 m*2*55 m*11 m/h + (55 m)^{2}*(-44 m/h)] = -83629.2 m^{3}/h [/tex]

Therefore, the volume of the cylinder is decreasing at a rate of 83629.2 m³/h.       

I hope it helps you!

Answer:

Domain: [tex]-5\leq x\leq 4[/tex]

Range: [tex]-5\leq y\leq 5\\[/tex]

Function: yes

Step-by-step explanation:

Domain is all possible x values. In this function, domain would be: [tex]-5\leq x\leq 4[/tex]

Range is all possible y values. In this function, range would be: [tex]-5\leq y\leq 5[/tex]

This is a function because it passes the vertical line test.

Answer:

347 + 645 = 992

Step-by-step explanation:

 347

+645

 922

Answer:

A) Maximum for dosage is 0.11

B) maximum blood pressure = 1.625

Step-by-step explanation:

We are given the function;

B(x) = 395x² - 2370x³

To find maximum, we will find the derivative of the function and equate to zero.

B'(x) = 790x - 7110x²

Equating to zero gives;

790x - 7110x² = 0

790x = 7110x²

Dividing both sides by x gives;

790 = 7110x

x = 790/7110

x = 0.11

This falls in between the range of 0 <= x <= 0.16 given to us.

Therefore x = 0.11 is a maximum

Plugging this into B(x) = 395x² - 2370x³ gives;

B(0.11) = 395(0.11)² - 2370(0.11)³

B(0.11) = 1.625

Thus;

Maximum dosage is 0.11

maximum blood pressure = 1.625

Given :

A new car depreciates as soon as you drive it out of the parking lot. A certain car depreciates to  half its original value in 4 years. If you bought a car 8 years ago and it is now worth $5,000.

To Find :

How  much did you pay for the car originally.

Solution :

Let, original price is x.

It is given that price gets half after 4 years.

So, price after 8 year is, P = x/4 .

x/4 = 5,000

x = $20,000

Therefore, price of new of car is $20,000.

Hence, this is the required solution.

Answer:

[tex]x=4+\sqrt{2}/2, x=x=4-\sqrt{2}/2[/tex]

Step-by-step explanation:

Answer:

can you add the dropdown menu? hard to answer without the dropdown

Step-by-step explanation:

Answer:

hope this helps!

Step-by-step explanation:

Answer:4.32...i think

Step-by-step explanation:

Answer:

12.32-8= 4.32 OR 12 x 32 - 8 = 376

Step-by-step explanation:

 12.32

-  8.00

= 4.32

OR

  32

x 12

= 376

Just depends if the dot was a multiplication dot or decimal.

Hope it helps!!

Answer:

61

Step-by-step explanation:

Rectangle area=

[tex]60 \times 40 = 2400yd ^{2} [/tex]

The area at the right

[tex](\pi \times 20^{2} ) \div 2 = 628yd^{2}[/tex]

Total area = 2400+628=3028yd^2

Now you have to find the quantity of grass seed needed (1pound for every 50yd square)

3028/50=60.56 (which is almost 61)

Answer:

2

4/.5 = 2

Therefore, your answer is 2, or A. Hope this helped!

Answer:

the answer is B) 8

Step-by-step explanation:

hope this helped sorry if it didn't and if it's wrong sorry for that also.

Answer:

Step-by-step explanation:

m<2 = 5.

because if you subtract 5x from 4x and that equals -1x. then you add 20 to -25 that equals -5. then you divided -5 by the -1x and you get 5.

Answer:

The answer is 2.

Hope this helps and if you could mark this as brainliest. Thanks!

Answer:

x=7

Step-by-step explanation:

-6x-14=-8x

-6x+8x=14

2x=14

x=7

yes it. is right man ansls gqbevih wo

Answer:

[tex] \frac{1}{5} + z = \frac{3}{5} [/tex]

Answer:

1/5+z=3/5

Step-by-step explanation:

Answer:

the answer is a

Step-by-step explanation:

they are just flipped thats all

9514 1404 393

Answer:

  3 1/56 cups

Step-by-step explanation:

Apparently, you're to assume that the amount of food is supposed to be proportional to weight. If x is the amount of food for the 26-pound dog, then ...

  cups/weight = (1 5/8)/14 = x/26

Multiplying by 26 we have ...

  x = (26)(13/8)/14 = 338/112 . . . cups

  x = 3 1/56 cups ≈ 3.02 cups

About 3.02 cups of the same type of food should be fed to a 26-pound dog.

Answer:

1 2/7 or 9/7

Step-by-step explanation:

First subtract 13/4-1/7=11/14

Then take the answer we subtract so we can add it 11/14+1/2= 1 2/7