A lifeguard received 15 hours of first aid training and 10 hours of CPR training. What is the ratio of hours of CPR training to hours of first aid training?

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

Explanation:

Refer to the remote interior angle theorem (some books call it the exterior angle theorem). That says we can add the two interior angles and the sum is the exterior angle that is not adjacent to either interior angle.

(interiorAngle1) + (interiorAngle2) = exterior angle

(5x) + (2x+6) = 8x-11

7x+6 = 8x-11

6+11 = 8x-7x

17 = x

x = 17

----------------

Or the slightly longer method has you follow these steps:

y = missing interior angle in the upper right corner

The angle (8x-11) and angle y are supplementary

(8x-11) + (y) = 180

y = 180-(8x-11)

y = 180-8x+11

y = -8x+191

For any triangle, the three interior angles always add to 180

(angle1)+(angle2)+(angle3) = 180

(5x)+(2x+6)+(-8x+191) = 180

-x+197 = 180

-x = 180-197

-x = -17

x = 17

Answer:

The answer is 4.5 cups I hope this helps :D

Answer:

X1=-4,Y1=-3,X2=-8,Y2=6

=√(X2-X1)^2+(Y2-Y1)^2

=√(-8-(-4))^2+(6-(-3))^2

=√(-4)^2+(9)^2

=√(16+81)

=√97units

Answer:

Above is the answer, coupled with detailed step-by-step explanations. Thank you!

Answer:

10

Step-by-step explanation:

log4(x+6)=2

x+6=4²

x=4²-6

x=10

Answer:

[tex]x=10[/tex]

Step-by-step explanation:

[tex]log_4(x+6)=2[/tex]

[tex]4^{log_4(x+6)}=4^2[/tex]

[tex]x+6=16[/tex]

[tex]x=10[/tex]

Remember that logarithmic functions are the inverses of exponential functions. Therefore, we raise the base of the logarithm to the logarithm to undo the operation.

Answer: 8 (I think)

Step-by-step explanation:

There are 24 coins in all. 1/2 gold coins and 1/6 copper coins.

1/2 of 24 is 12

1/6 of 24 is 4

12 - 4 = 8

So there are 8 more gold coins than copper.

Answer:

Step-by-step explanation:

To solve this system of equations, let's first find the value y. We can replace the x in the second equation with 11 + y, since we are told in the first equation that x is equal to 11 + y. So, let's replace x:

2(11 + y) + y = 19

22 + 2y + y = 19

22 + 3y = 19

3y = -3

y = -1

And look at that - we've found our y-value! Now, we can replace the y in the first equation with -1 to find the value of x.

x = 11 + (-1)

x = 10

So, the solution to this system of equations is (10, -1). Hopefully that's helpful!

Answer:

If it's not what You are looking for type in the equation solver your own ... is 12 percent of 912.6 - step by step solution || 2x-9=2x-9 || 2(x-3)=4(x+2) ...

Step-by-step explanation:

sorry if im wrong

Answer:

m / 6/7 = 5/6

m = 35

Step-by-step explanation:

Answer:

Step-by-step explanation:

The quotient of m and 6/7 is 5/6:

Answer:

IP information is attached to each packet, and this information helps routers to send packets to the right place. Every device or domain that connects to the Internet is assigned an IP address, and as packets are directed to the IP address attached to them, data arrives where it is needed.

Step-by-step explanation:

hope i helped!

Answer: -3

Step-by-step explanation:

The axis of symettry is basically what cuts the parabola perfectly in half. In this case draw a horizontal line right through -3 on the x-axis

Answer:

[tex]x=-3[/tex]

Step-by-step explanation:

A parabola's axis of symmetry is located at the line [tex]x=h[/tex] and essentially divides the parabola in half. The vertex is [tex](-3,4)[/tex] so the axis of symmetry is located at the line [tex]x=-3[/tex]

Answer:

15 seconds

Step-by-step explanation:

Number of seconds taken to print 8 banners = 120 seconds

Number of seconds taken to print 1 banner will be x seconds

Banners           Seconds

8                         120

1                           x

By cross multiplication, we get

=> 120*1/8 = x seconds

=> 120/8 = 15 seconds

It takes 15 seconds to print one banner.

Hope you got it!!

Answer: 6 2/3

4/3 * 5

20/3

6 2/3

Answer: 65£40625

Step-by-step explanation:

We know that there are already 150L of oil in the tank. So if we want to fill the tank, we need to add 1250L to fill the rest of the tank. The price of 1L of oil is 80.5p, which can be represented as [tex]\frac{80.5p}{L}[/tex]. If we want to know the price of the remaining 1250L, then we can multiply the denominator by 1250 because that way we can find the cost in p of 1250L. Now if you want to keep the ratio of the original equation to the cost of 1250L equal (or just keeping both expressions equal), then we also have to multiply the numerator by 1250. So, we then get [tex]\frac{(1250)(80.5p)}{(1250)(L)}[/tex]=[tex]\frac{100625p}{1250L}[/tex]. So the cost of 1250L is 100625p.

Now, applying the discount. To apply a discount x to some value y:

x - xy, where x = original value, y = discount.

So, substituting the original value of 100625p for x and the discount 6.5% = 0.065 for y, we get: (100625) - [(100625)(0.065)]. The question, however, doesn't ask for the discounted price, but rather the discount itself, or how much money you save. The expression xy gives us just that.

So, (100625)(0.065) gets us to to 6540.625p = 65£40625.

The First step to this problem is to find how much oil He needs.

In order to do that, we have to subtract 1400 L by 150 L

1400-150=1250

The second step to this problem is to calculate the total price (p) of the Oil that is needed

In order to do that, we have to find the price of the oil per liter which is 80.5p

Take out the P so it won't be hard

80.5x1250=100625p

The third step to this question is to Multiply the number: 100625 by 6.5/100. Given the fact that we convert 6.5% to Fraction

100635x6.5/100= 6541.275p

So, the answer is  6541.275

I hope this helps, if it's wrong plz blame me

Have a nice day (:

Answer:

y=3d+15

y intercept is 15

slope is 3

Step-by-step explanation:

to graph start at 15 on the y axis. then go up 3 points and over one point. keep doing this until you have a straight line.

The sum of the angles of any triangle is 180°.

75° + 75° + m<BAC = 180°

m<BAC = 180° - (75° + 75°) = 30°

Answer:

a

Step-by-step explanation:

The function is [tex]F(x) = \dfrac{x+6}{x-6}[/tex]. Option C is correct.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The value of the function approaches -∞ as x approaches -∞ is,

[tex]F(x) = \dfrac{x+6}{x-6}[/tex]

The graph of the function is attached with the answer which is showing the approach of the function in the x-y plane.

Therefore, the function is [tex]F(x) = \dfrac{x+6}{x-6}[/tex]. Option C is correct.

To know more about functions follow

https://brainly.com/question/2833285

#SPJ2

The equation you can use to find the amount of money, v, Samir received for each video game is;

4v - 23.65 = 6.35 and v = $7.5

Samir sold 4 oh his old star leaper video games.

If the amount received for each video game is v, the total cost of the 4 video games is; 4v

Thus, this equation is;

4v - 23.65 = 6.35

Solving this gives;

v = $7.5

Read more about algebra word problems at; https://brainly.com/question/21405634

Answer:

[tex]\purple{\rule{1000pt}{900000pt}} [/tex]

The equation is

[tex]\\ \sf{:}\Rrightarrow 66x+226=639[/tex]

[tex]\\ \sf{:}\Rrightarrow 66x=413[/tex]

[tex]\\ \sf{:}\Rrightarrow x\approx 6[/tex]

Answer:

The answer is 4

Step-by-step explanation:

because add 4 then divided by 4

Answer:

n + 17 = 26

Step-by-step explanation:

Let's replace the sentence with mathematical terms:

17 more than a number is 26

More than means addition. The answer will also be a sum.

17 + a number is 26

Since the number is not specified, it will be represented by a variable. In this instance, the variable is n.

17 + n is 26

The equal sign will replace the word "is".

17 + n = 26

Now, we can use the associative property of addition.

17 + n = 26 into n + 17 = 26

Which mathematical statement represents “17 more than a number is 26”?

Answer:

n + 17 = 26  

Step-by-step explanation:

17 more than a number means that you are adding 17 to a number (n) to equal 26.

If you take 17 away from each side you get n = 9

9 + 17 = 26 is a true statement so the equation is correct.

Answer:

4.7

Step-by-step explanation:

2400/160 =15 crates

4/1.25=3.2 crates a minute

15/3.2=4.68 minutes

4.7 because it rounds up

To load 2400 pounds of crates crew will take around 4.69 minutes.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given,

Crew can load 4 crates every 1.25 minutes

4 creates ⇔ 1.25 minutes

Given,

1 crate = 160 pounds

So,

4 crate = 640 pounds

So,

640 pounds ⇔ 1.25 minutes

1 pound ⇔ 1.25/640 minutes

To load 2400 pounds

2400 pounds ⇔(1.25/640)2400 minutes

2400 pounds ⇔ 4.6875 minutes.

Hence " To load 2400 pounds of crates crew will take around 4.69 minutes".

For more information about ratio and proportion,

brainly.com/question/26974513

#SPJ5

The absolute value of -56 is 56

the new sentence is 56____1561

A is not true because 56 is not bigger then 1561 if you count and put on number line

B is very true if you look at A. 56 is smaller than 1516

So, the answer is a

I hope this helped if it's wrong, plz blame me.

Ps.Brainlist would help a lot

Answer:

B

Step-by-step explanation:

The | | around -56 means absolute value or the total of the number, which in this case is 56, therefore 56 is less than 1561.

[tex]|2x+4| = 12\\\\\implies 2x +4 = 12 ~~ \text{or}~~ 2x +4 = -12\\\\\implies 2x = 8 ~~ \text{or}~~ 2x = -16\\\\\implies x = 4 ~~ \text{or} ~~ x = -8[/tex]

Answer: See below

Step-by-step explanation:

Isolate x for x-2y+2z=9

3x=9+2y

[tex]x=\frac{9+2y}{3}[/tex]....(1)

Substitute (1) into the 2nd equation

[tex]\begin{bmatrix}-\frac{9+2y}{3}+3y=-4\\ 2\cdot \frac{9+2y}{3}-5y+3z=16\end{bmatrix}[/tex]

[tex]\frac{3\left(-9+7y\right)}{3}=3\left(-4\right)[/tex]

7y=-3

y=-3/7

Substitute y=-3/7

[tex]\begin{bmatrix}3z+\frac{18-11\left(-\frac{3}{7}\right)}{3}=16\end{bmatrix}[/tex]

[tex]\begin{bmatrix}3z+\frac{53}{7}=16\end{bmatrix}[/tex]

Isolate z by substituting it

[tex]3z+\frac{53}{7}=16[/tex]

[tex]\frac{3z}{3}=\frac{\frac{59}{7}}{3}[/tex]

[tex]z=\frac{59}{21}[/tex]

For x =9+2y/3 substitute z=59/21 and y=-3/7

[tex]x=\frac{9+2\left(-\frac{3}{7}\right)}{3}[/tex]

[tex]x=\frac{19}{7}[/tex]

[tex]x=\frac{19}{7},\:z=\frac{59}{21},\:y=-\frac{3}{7}[/tex]

Answer:

(1, - 1, 3 )

Step-by-step explanation:

x - 2y + 2z = 9 → (1)

- x + 3y = - 4 → (2)

2x - 5y + 3z = 16 → (3)

Add (1) and (2) term by term to eliminate x

y + 2z = 5 → (4)

Multiply (2) by 2

- 2x + 6y = - 8 → (5)

Add (3) and (5) term by term to eliminate x

y + 3z = 8 → (6)

Subtract (6) from (4) term by term to eliminate y

- z = - 3 ( multiply both sides by - 1 )

z = 3

Substitute z = 3 into (4)

y + 2(3) = 5

y + 6 = 5 ( subtract 6 from both sides )

y = - 1

Substitute y = - 1, z = 3 into (1) and solve for x

x - 2(- 1) + 2(3) = 9

x + 2 + 6 = 9

x + 8 = 9 ( subtract 8 from both sides )

x = 1

solution is (1, - 1, 3 )

Answer:

2.45 seconds to the nearest hundredth.

Step-by-step explanation:

Acceleration a = -5, distance s = 15, time  = ?.

Final  velocity = v =  0.

We need to use the equations of motion under constant acceleration.

v^2 = u^2 + 2as       where u is the initial velocity

0 = u^2 + 2*-5*15

u^2 = 150

so u = √150

Now we use v = u + at:

0 = √150 - 5t

t = √150/5

t = 2.45 seconds.