On Monday, Deborah ran 3 2− 5miles and on Tuesday she ran 4 1− 5miles. How many miles did she run on these two days together?

Answer: -22

Step-by-step explanation:

first let's plug in -10 to the f(x) function.

F(-10) = 3(-10) + 10 = -30 +10 = -20

Now we plug in -20 into the g(x) function

g(-20) = -20 -2 = -22

Answer:

If g(x) = x - 2, then g(f(x)) = f(x) - 2. So the whole equation would be: 3x + 10 × x - 2. Simplified: g(f(x)) = 13x - 2

UwU

Answer:

the perimeter is 25.

Step-by-step explanation:

have a nice day!

Answer:

f(-2) is 14.

Step-by-step explanation:

We have been given the function:

We have to find f(-2)

That means put x= -2 in the given function we get:

After simplification we will get:

After further simplification we will get the required result:

 Hence, ƒ (-2) is 14

Answer:

a) Her rate is 1 mile per hour  for Monday’s run

b) 0.447 m/second

c) In fraction  20467m/180000 seconds

Step-by-step explanation:

Speed = distance / time = 1 mile/ 1 hour  

           = 1 mile per hour

Her rate is 1 mile per hour  for Monday’s run

part A. According to the question, the unit rate is to be expressed in miles per hour units.

Part B.

Speed = distance / time = 1 mile/ 1 hour  

           = 1 mile per hour

But 1 mile = 1609.34 m

and 1 hour = 3600 seconds

There fore  

1 mile/ 1 hour  = 1*1609.34/ 1*3600 seconds

                    = 0.447 m/second

Part C.

1 mile/ 1 hour  =1609.34/ 3600 seconds

                     = 1609.34 * 100/100 * 1/3600  ( multiplying and dividing by 100 to remove the decimal)

                     = 160934/360000

                      = 20467m/180000 seconds

The first five multiples of 1 are 2,3,4,5,6,7,8, 9......

The LCM of 1 and 1 is 1

Answer:

The discount is 2.1 dollars

Answer:

$57.38

Step-by-step explanation:

The total bill is $45.90.

They decided to tip the waiter 25%.

Therefore, the total amount they leave will be the total bill plus the amount they will tip.

They amount they tipped is 25% of the total bill. Therefore, the tip is 0.25(45.9) or approximately $11.48 (rounded up).

So, the amount they will leave is the original amount plus the tip. So, in total, they left:

$45.90+$11.48 or $57.38

Answer:

57.38

Step-by-step explanation:

percent means per one hundred, or 1/100.

25%=25/100

45.90 times 25/100= 11.475

Since money doesn't have a thousandthes digit, I just rounded it up to 11.48.

11.48+45.90=57.38

Another way you could do it would be to just mutiply 45.90 by 125/100 to get 57.375, which rounds to 57.38.

9514 1404 393

Answer:

  0 ft

Step-by-step explanation:

The line hangs down 15 feet from the top of each pole, so the distance between them must be zero if the total line length is 30 feet.

Answer:

The cost would be $0.10. You would figure this out because 10 cents is a 10th of a dollar

Step-by-step explanation:

Answer:

49.95+2.4975(the 5% tax)

Step-by-step explanation:

=52.4475 dollars

Answer:

$52.4475

Step-by-step explanation:

5/100×49.95=249.75

249.75÷100=2.4975

2.4975+49.95=52.4475

Answer:

X=8

Step-by-step explanation:

Hope this helps

Answer:

119.76

8 days

0.5217

93

Step-by-step explanation:

Given that:

1)

Kim's time = 135.46 seconds

Tyron's time is 15.7s faster ;

Tyron's time = 135.46 - 15.7 = 119.76

Janna takes her medicine 3 times a day. How many days will a 60 ml medicine last if 2 1/2ml is taken each time?

(2 1/2 * 3) = 7.5 mL per day

60 mL / 7.5 = 8 days

3. May bought 23 of a kilo of meat. She cooked 12 of it. How much did she cook?

Total bought = 23 of a kilo of meat

Amount cooked = 12 /23= 0.5217 kilo

4. Arjay bought 8.75 meters of cloth for ₱813.75. Find the cost price per meter.

Cost per meter :

813.75 / 8.75 = 93 per meter

5. Jay will divide his P112,000 among his 3 brothers. His elder brother will receive of the amount while the remaining amount is to be equally divided among the two younger brother. How much will each of the younger brothers receive?

Question 5 is Incomplete

Answer:

Likely, I think I havent been in this for a long time so i may be a little rusty. But anyways, I hope this helped!

Step-by-step explanation:

32% is the probability that 3 are blue and 2 are red.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

We have a bag that contains 100 balls, 50 of them red and 50 blue.

We, Select 5 balls at random.

the probability that 3 are blue and 2 are red = 50C3*50C2/50C5

solving we get,

19600*1225/75287520

=24010000/75287520

=0.32

=32%

Hence, 32% is the probability that 3 are blue and 2 are red.

To learn more on probability click:

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Answer:

y = -x - 6

Step-by-step explanation:

From point A, to get to point C, you would need to go down 2 and right 2 which is -2/2 and -2/2 is the same thing as -x.

The y-intercept is -6 because the line goes thorough -6 in the y axis.

Hope this helps and pls do mark me brainliest if you can:)

Answer:

Attached below is the detailed solution

answer : x(t), y(t), z(t) = ( 6 + t/6,  In (36) + t/18, 1 + t )

Step-by-step explanation:

x = [tex]\sqrt{t^2 + 35 }[/tex]  , y = In(t^2 + 35 ),  Z = t;(6, ln(36), 1)

Determine the parametric equations for the tangent line to the curve with the above given parametric equations

attached below is the detailed solution

Answer:

The dimension of the triangle is 4.144 m and the dimension of the square is 2.392 m

Step-by-step explanation:

let a side of the equilateral triangle = x

let a side of square = y

3x + 4y = 22

4y = 22 - 3x

[tex]y = \frac{11}{2} -\frac{3x}{4}[/tex]

subjective function, the total area is given by;

[tex]f(x,y) = \frac{x^2\sqrt{3} }{4} +y^2[/tex]

[tex]f(x) = \frac{x^2\sqrt{3} }{4} + (\frac{11}{2} -\frac{3x}{4})^2\\\\f(x) = \frac{x^2\sqrt{3} }{4} +\frac{121}{4} -\frac{33x}{4} +\frac{9x^2}{16} \\\\f(x)' = \frac{x\sqrt{3} }{2} -\frac{33}{4} +\frac{9x}{8} \\\\\frac{x\sqrt{3} }{2} -\frac{33}{4} +\frac{9x}{8}=0\\\\\frac{x\sqrt{3} }{2} + \frac{9x}{8} =\frac{33}{4}\\\\\frac{4x\sqrt{3} +9x}{8} = \frac{33}{4}\\\\4x\sqrt{3} +9x = 66\\\\x(4\sqrt{3} +9) = 66\\\\x(15.928) = 66\\\\x = \frac{66}{15.928}\\\\x = 4.144 \ m[/tex]

solve for y

[tex]y = \frac{11}{2} -\frac{3x}{4}\\\\y = \frac{11}{2} -\frac{3*4.144}{4}\\\\y = 5.5-3.108\\\\y = 2.392 \ m[/tex]

Therefore, the dimension of the triangle is 4.144 m and the dimension of the square is 2.392 m

Answer:hi how’s it going

Step-by-step explanation:

Answer:

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Step-by-step explanation:

Answer:

90°

Step-by-step explanation:

Measure of angle 3 is,

⇒ ∠3 = 90 degree

We have to given that,

A kite is shown in image.

Since, We know that,

If two sides of  triangle are equal then its corresponding angles are also equal in a triangle.

Now, By given figure, we have;

64 x 2 + x + x = 180

128 + 2x = 180

2x = 180 - 128

2x = 52

x = 26

So, We get;

Measure or angle 1 is,

∠ 1 + 64 + 26 = 180

∠1 = 180 - 90

∠1 = 90 degree

Hence, By definition of vertically opposite angle,

⇒ ∠1 = ∠3 = 90 degree

Learn more about the angle visit:;

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Answer:

1. -8 feet= 8 feet

-2 feet= 2 feet

2.  Jordin’s balance is a debt of MORE than 27$

3. Dinah had the greatest DECREASE in weight, with losing 1.4 pounds.

Hope this helps hun! Good Luck!

Answer:

Start with 15 negative tiles. Separate the tiles into 3 equal groups. Each group will have 5 negative tiles, so -15 divided by 3 is -5.

Step-by-step explanation:

Answer:

the answer is that B .P(X)

Answer:

150 cubic centimeters

Step-by-step explanation:

1/6×X+95=4/5×X

Subtract X from both sides of the equation

Multiply/Combine like terms

95=19/30×X

Multiply by 30/19 and simply

30/19*95=X

Solve for X to get 150

1/6×150=25

4/5×150=120

Answer:

150 cubic centimeters

Step-by-step explanation:

1/6*x+95=4/5*x

Move stuff around

95=1/6+4/5*x

Multiply/Combine like terms  

95=19/30*x

Multiply by 30/19 and then simplify

30/19*95=x

Solve for x

1/6*150=25

4/5*150=120

Answer:

4

Step-by-step explanation:

Answer:

119.6

Step-by-step explanation:

52 × 230  over 100 = 119.6

Answer:

Step-by-step explanation:

Volume of the ball (spherical in nature) Vb = 4/3πrb³

Volume of the hole Vh = 4/3πrh³

rb is the radius of the ball

rh is the radius of the hole

If a ball of radius 17 has a round hole of radius 7 drilled through its center, the volume of the resulting solid will be expressed as:

V = Vb - Vh

V = 4/3πrb³ - 4/3πrh³

factor out the like terms;

V = 4/3π(rb³-rh³)

Given

rb = 17

rh = 7

V = 4/3π(17³-7³)

V = 4/3π(4913-343)

V = 4/3π(4570)

V = (4π*4570)/3

V = 57,399.2/3

V = 19,133.067

Hence the volume of the resulting solid is 19,133.067

Answer:

c

Step-by-step explanation:

Answer:

If neither of the two real numbers is zero, then their product is also not zero Suppose also that x is a real number that satisfies the equation The " / " symbol does not always give you a result of an integer, so be careful.pkek, and any other expression for n as a product of prime numbers is identical to this except,.

Step-by-step explanation:

Answer:

The vertex of the function g(x) = f(x + 2) + 3 is (-6, -2)

Step-by-step explanation:

Let us use these facts above to solve the question

∵ The quadratic function f(x) = y has a vertex point (-4, -5)

∵ g(x) = f(x + 2) + 3

→ By using the two facts above

∴ f(x) is translated 2 units to the left

∴ f(x) is translated 3 units up

→ That means the vertex point must move 2 units left and 3 units up

∵ The rule of translation is T (x, y) → (x - 2, y + 3)

∵ The coordinates of the vertex point of f(x) are (-4, -5)

∴ Its image is (-4 - 2, -5 + 3)

∴ Its image is (-6, -2)

∴ The vertex of the function g(x) = f(x + 2) + 3 is (-6, -2)

Answer:

B) 5 hours

Step-by-step explanation:

First, find the amount of mph between 60 and 80:

80 - 60

= 20 mph

Since the speed increases 4 mph per hour, we can find how long it will take to get to 80 mph by dividing 20 by 4:

20/4

= 5

So, the correct answer is B, 5 hours

9514 1404 393

Answer:

Step-by-step explanation:

1. The sample space is all 16 possible sequences of T or F of length 4:

  tttt, tttf, ttft, ttff, tftt, tftf, tfft, tfff  fttt, fttf, ftft, ftff, fftt, fftf, ffft, ffff

__

2. The number of possibilities is the product of the numbers of choices at each stage:

  5 × 7 × 4 × 6 = 840 . . . different meals

__

3. 9C3 = 9!/(3!·6!) = 84

__

4. 9P3 = 9!/6! = 504

Answer:

x=[tex]\frac{13}{30}+i\frac{\sqrt{251}}{30}[/tex]

Step-by-step explanation:

Answer:

I do not fully understand this question so I will try to answer it the best I can.

25x^2-10x^2-13x=-7

15x^2-13x=-7

That is the question simplified. The part that you need to do from here is to figure out what x is. A way you can do that is by plugging in different solutions of what x could be until you find a solution that fits into the equation. I can't help that much but I hope that my solution helps.