Dara drove from home to the airport to pick up her
friend and then came back home on the same route.
Her average speed on the way to the airport was
55 miles
per
hour (mph), and her average speed on
the way back home was 45 mph. If the total driving
time was 1 hour and 20 minutes, how far, in miles, is
the airport from Dara's home?

Answer:

formula of circumference =p=theater÷360×2×pie×r

Step-by-step explanation:

so its a right angle.so =90%

the answer is 15.70

round off.=16cm

Answer:

Step-by-step explanation:

1. ON^2=10^2-8^2=100-64=36

ON=V36=6 cm

MON=MO+ON=10+6=16 cm

2. MO=ON=V13^2=12^2=V169-144=V25=5cm

MON=MO=ON=5+5 =10cm

Answer:

[tex]y=28[/tex]

Step-by-Step Explanation:

Please refer to the attachment below.

So, notice that to find y, we simply need to determine x.

Remember that the area of a parallelogram is given by bh.

We can see that our base is x.

And our height h is half of 14. Therefore, h=7.

So, the area of one parallelogram is:

[tex]A=7x[/tex]

Then the area of four parallelograms is:

[tex]A=4(7x)=28x[/tex]

Since the total area of the shape is 308 squared centimeters. This means that:

[tex]308=28x[/tex]

Therefore:

[tex]x=11[/tex]

Then it follows that:

[tex]\begin{aligned} y&=2x+6\\ &=2(11)+6 \\ &=22+6 \\ &=28\end{aligned}[/tex]

Answer:

54.0

Step-by-step explanation:

53.96

The bold number is in the tenth form and needs rounding off. So look at the number after the bold number (6).

Now 6 falls off the 5 or greater category, meaning that you have to add one to the bold number.

9 + 1 = 10

Now since the number is 10, you add the number before the bold number by 1 (underlined number) and replace the bold number by 0.

53.96

54.00

Since you are focusing on the tenth place, keep the zero sitting on that spot.

54.0

24 cauliflower: 16 cabbage

Apples and pears are not vegetables, which means 40 - 24 = 16.

Answer:

24:16

Step-by-step explanation:

I think.

40 total - 24 cauliflower heads= 16 other vegtable.

Number of cauliflower heads: number of cabbage heads

24: number of cabbage heads (16)

Answer:

Where is the figure or picture

Answer:

R= {-1,1,3,5)

Step-by-step explanation:

To find the range, use the domain values as the input and find the output for the function

Domain D = {-1,0, 1, 2}?

f(x) = 2x + 1

f(-1) = -2 +1 = -1

f(0) = 0 + 1=1

f(1) = 2 + 1 = 3

f(2) = 4 + 1 = 5

The range is { -1,1,3,5}  

Answer:

( edited )

1. divisible by 5 : 120

2. divisible by 12 : 192

3. divisible by 25 : 24

See explanations below.

Step-by-step explanation:

Given:

6 digit number

digits all unique between 1 to 6

divisible by 5, 12 and 25

Find how many such numbers

solution:

1. Divisible by 5.

The last digit must be 5.  That leaves five digits (1,2,3,4,6) for the rest of the numbers. So there are 5! = 120 such numbers.

2. Divisible by 12 (edited again)

All numbers formed from unique digits 1,2,3,4,5,6 are divisible by 3, since 1+2+3+4+5+6 = 21 which is divisible by 3.

For the 6 digit numbers divisible by 12, the two end digits must be divisible by 4, for which there are 8 ( 12,16,24,32,36, 52, 56, 64)

For each of the 8 numbers, we have 4 more digits to tag on for which there are 4! = 24 permutations.  Thus there are 8*24 = 192 numbers divisible by 12.

3. divisible by 25

All numbers ending in 00, 25, 50 or 75 are divisible by 25.

Using digits 1 to 6, only those ending in 25 qualify.

Thus that leaves us with 4 digits to make 4! = 24 variations.

Thus there are 24 such numbers.

Answer:

Let x represent the smaller number and y represent the larger number

For the first equation

Four times a number added to 3 times a larger number is 31 is written as

4x + 3y = 31

Making y the subject we have

3y = - 4x + 31

Divide both sides by 3

That's

[tex]y = - \frac{4}{3} x + \frac{31}{3} [/tex]

For the second equation

Seven subtracted from the larger number is equal to twice the smaller number is written as

y - 7 = 2x

Making y the subject

We have

Hope this helps you

Answer:

first one (A)

Step-by-step explanation:

Answer:

4 monetary units

Step-by-step explanation:

In a Poisson distribution, the expected value of the distribution is the same as the mean:

[tex]E(X)=\mu=4\ claims[/tex]

The expected number of warranty claims is 4.

Since each claim results in a payment of 1, the expected value paid by the insurer is:

[tex]E(V)=E(X)*V(X)\\E(V)=4*1 = 4[/tex]

The expected total payment on warranty claims is 4 monetary units.

Answer:

The measure of angle C is 180 - 3α

Step-by-step explanation:

Given;

triangle ABC, ΔABC

angle A, ∠A  = α

angle B, ∠B = 2α

To calculate angle C, we must recall that, the sum of angles in a triangle is equal to  180°. Angle A, angle B, and angle C make up the total angle in the triangle.

∠A + ∠B  + ∠C = 180

where

∠C  is angle C

α + 2α + ∠C = 180

3α  + ∠C  = 180

∠C = 180 - 3α

∠C = 3(60 - α)

Therefore, the measure of angle C is 180 - 3α

Answer:

180°-3a

Step-by-step explanation:

YOU HAVE TO INSERT DEGREES SYMBOL

Answer:

The height of the pile is increasing at the rate of  [tex]\mathbf{ \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}[/tex]

Step-by-step explanation:

Given that :

Gravel is being dumped from a conveyor belt at a rate of 20 ft³ /min

i.e [tex]\dfrac{dV}{dt}= 20 \ ft^3/min[/tex]

we know that radius r is always twice the   diameter d

i.e d = 2r

Given that :

the shape of a cone whose base diameter and height are always equal.

then d = h = 2r

h = 2r

r = h/2

The volume of a cone can be given by the formula:

[tex]V = \dfrac{\pi r^2 h}{3}[/tex]

[tex]V = \dfrac{\pi (h/2)^2 h}{3}[/tex]

[tex]V = \dfrac{1}{12} \pi h^3[/tex]

[tex]V = \dfrac{ \pi h^3}{12}[/tex]

Taking the differentiation of volume V with respect to time t; we have:

[tex]\dfrac{dV}{dt }= (\dfrac{d}{dh}(\dfrac{\pi h^3}{12})) \times \dfrac{dh}{dt}[/tex]

[tex]\dfrac{dV}{dt }= (\dfrac{\pi h^2}{4} ) \times \dfrac{dh}{dt}[/tex]

we know that:

[tex]\dfrac{dV}{dt}= 20 \ ft^3/min[/tex]

So;we have:

[tex]20= (\dfrac{\pi (15)^2}{4} ) \times \dfrac{dh}{dt}[/tex]

[tex]20= 56.25 \pi \times \dfrac{dh}{dt}[/tex]

[tex]\mathbf{\dfrac{dh}{dt}= \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}[/tex]

The height of the pile is increasing at the rate of  [tex]\mathbf{ \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}[/tex]

Answer:

x = 50

Step-by-step explanation:

[tex]\frac{x}{6-11} =-10\\\\\frac{x}{-5} =-10\\Cross-Multiply\\x = - 10\times -5\\x = 50[/tex]

Answer:

  5/2

Step-by-step explanation:

Possible rational roots are ...

  ±(divisor of 9)/(divisor of 2)

So, the possibilities are ...

  ±1/2, ±1, ±3/2, ±3, ±9/2, ±9

The one on your list that is not among these is 5/2.

5/2 is not a possible rational root.

Answer:

y  = −1/3x+17/3

Step-by-step explanation:

The line segment has slope -1/3. This means that any line perpendicular to it will have a slope of 3 (negative reciprocal)

Any line that bisects the line segment will pass through its midpoint. The midpoint is (5,4)

Midpoint formula: [tex]( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )[/tex]

So perpendicular bisector of this line  is simply a line with slope −1/3 that passes through point (5, 4)

y - 4 = -1/3 (x-5)=

y  =  −1/3x+17/3

Answer:

A.

Step-by-step explanation:

The equation is ax^2 + bx + c = 0.

a = -1, and b = 1.

-1x^2 + 1x + c = 0

-x^2 + x + c = 0

Hope this helps!

Answer:

d: Routing number

Step-by-step explanation:

To understand how to get d as your answer, when you go to any bank and insert your credit/debit card, it compares the routing number to the bank and sees if you have an account at the bank.

Answer:

[tex]5\sqrt{3}[/tex]

Step-by-step explanation:

[tex]1/4+\sqrt{3} \\1/4+\sqrt{3} (Criss cross)\\1+4\sqrt{3} \\5\sqrt{3}[/tex]

Hope I am correct

Answer: 6,8

Step-by-step explanation:

Answer:

22%

Step-by-step explanation:

1- 11000/50000 = 0.22

2- 0.22 x 100 = 22%

.. ..

Answer:

12.86

Step-by-step explanation:

Area=ab *siny/2

a=side

b=base

y=angle

put the values and you got the answer...

hope it helps

Answer:20

Step-by-step explanation: The answer is 20 because to find the Area you use the formula of 1/2 x base x height. 8 is the height and 5 is the base.

8 x 5 =40

Then multiply by 1/2 which will equal 20

Answer:

a) 2/5

b) 1/10

Step-by-step explanation:

There are 20 people total.

a is that the chosen child is a girl.

2 + 6 = 8, --> there are 8 girls --> simplify

8/20 = 4/10 = 2/5

b is the probability that the chosen child is a left-handed girl, --> there are 2 left-handed girls --> 2/20 --> simplify to 1/10

And thus, we have our answers.

Answer:

A) 2/5

B) 1/10

Step-by-step explanation:

A) Total Girls = 8

Total Children = 19

Probability = [tex]\frac{NumberOfFavourableOutcomes}{Total No.OfOutcomes}[/tex]

Probability = 8/20 = 4/10 = 2/5

B) Left-handed girls = 2

Total left handed children = 20

=> Probability = [tex]\frac{NumberOfFavourableOutcomes}{Total No.OfOutcomes}[/tex]

=> Probability = 1/10

Answer:

40

Step-by-step explanation:

first do what is in the parentheses (4*4) which is 16 then rewrite the whole equation. 71-5(3)-16. then you'll want to multiply 5 times 3 because if there is no sign before the parentheses then it is automatically multiplication. 5 times 3 is 15. rewrite the equation again. 71-15-16 then simply subtract.

Hope this helps! :)

Answer:

8sqrt(3)

Step-by-step explanation:

30-60-90 truangle ratio of lengths of sides:

1 : sqrt(3) : 2

24/d = sqrt(3)/1

d * sqrt(3) = 24

d = 24/sqrt(3)

d = 24/sqrt(3) * sqrt(3)/sqrt(3)

d = 24sqrt(3)/3

d =

Answer: A

Step-by-step explanation:

For Kendra to profit $45 after spending $80 she would have to make $125 off of her 100 donuts.  Thus, each donut costs 1.25, thus the 1.25n of the equation.  However, you must also take into account the 80 dollar fee she paid(Thus the - 80).

Answer:

Option A, B and E

Step-by-step explanation:

Determinant = ad-bc

Let's look at the picture and solve all

Option A)

If the row ( c and d ) is zero, the determinant will be zero

=> a(0)-b(0)

=> 0-0

=> 0 (So, True)

Option B)

If a = b = c = d (Let's say 1), the determinant will be

=> (1)(1)-(1)(1)

=> 1-1

=> 0  (So, True)

Option C)

An Identity matrix is

=> [tex]\left[\begin{array}{ccc}1&0\\0&1\end{array}\right][/tex]

So , it's determinant will be

=> (1)(1)-(0)(0)

=> 1-0

=> 1  (So, False)

Option D)

The determinant with matrix will all positive numbers can be negative as well as positive. This is not necessary that it would be positive. (So, False)

Option E)

A zero matrix is

=> [tex]\left[\begin{array}{ccc}0&0\\0&0\end{array}\right][/tex]

So, it's determinant is:

=> (0)(0)-(0)(0)

=> 0-0

=> 0 (So,True)

Answer: A B E

A. If any row of a square matrix is zero, its determinant is zero.

B. If all numbers in a matrix are equal, its determinant is zero.

E. The determinant of any zero matrix is zero

Step-by-step explanation:

edge assignment

Answer:

1008 [tex]cm^2[/tex]

Step-by-step explanation:

Given:

Triangular prism with

Base of triangle = 5 + 9 = 14 cm

Height of triangle = 12 cm

Here, we have 3 faces of the prism as a rectangle, all have width = 20 cm

Lengths of faces = 13cm ,14cm and 15 cm respectively

To find:

Total surface area = ?

Solution:

3 faces are rectangular shape and 2 faces are triangular shape.

[tex]Area\ of\ rectangle = Length \times Width[/tex]

The formula for Total Surface Area of a triangular prism is given as:

[tex]TSA = 2 \times \text{Area of triangular base}+{\text{Area of rectangular faces}}\\\Rightarrow TSA = 2 \times \dfrac{1}{2}\times Base \times Height+{\text{Area of rectangular faces}}\\\Rightarrow TSA = 14 \times 12 + 15 \times 20+ 13 \times 20+ 14 \times 20\\\Rightarrow TSA = 168 + 840\\\Rightarrow TSA = 1008\ cm^2[/tex]

So, the total surface area of the given triangular prism is 1008 [tex]cm^2[/tex].

Answer:

42 minutes

Step-by-step explanation:

Here we want to calculate the number of minutes ran in total.

Kindly note that;

Time = distance/speed

Her starting speed is 10 miles/hour

but she ran for 12 minutes.

Kindly note that 12 minutes = 12/60 = 1/5 = 0.2 hour

So total distance in the first 12 minutes is speed * time = 10 * 0.2 = 2 miles

Now the rest of distance to run would be ;

5 -2 = 3 miles

She ran 3 miles at a speed of 6 miles per hour.

Time spent here is 3/6 = 0.5 hours which is same as 30 minutes

Total time spent = 30 + 12 = 42 minutes

Answer:

3. [tex]336[/tex]

Step-by-step explanation:

To do this, we will use a premutation. Each number represents the possible choices per digit, respectively.

So, our product will be 8 (total choices) times 7 (total choices not including the already chosen one) times 6 (same story as previous). Multiplying this out will give us 336.

So, the answer is number 3.

Answer:

C. 336

Step-by-step explanation:

Answer:

Los nuevos precios serán 38.50 por el salmón y 44.30 por el pollo.

El monto neto recibido será 31.57 por el salmón y 36.32 por el pollo.

Step-by-step explanation:

Para resolver este problema primero debemos calcular el 35% del precio de ambos platos para saber cuánto se incrementará su precio.

Salmón a la mostaza:

Precio anterior: 28.50

El 35% de 28.50 es (28.50)(.35) =9.975

Precio nuevo = 28.50 + 9.975 = 38.475 = 38.50

Pollo al curry

Precio anterior: 32.80

El 35% de 32.80 es (32.80)(.35) = 11.48

Precio nuevo = 32.80 + 11.48 = 44.28 = 44.30

Ahora, para calcular el monto neto que recibirá por plato sin incluir el 18% de IGV tenemos que calcular el 82% del precio de cada plato (pues 100 - 18 = 82) y este será el monto neto que se recibirá.

Salmón a la mostaza.

Precio nuevo: 38.50

El 82% de 38.50 es (38.50) (.82) = 31.57

Se recibirá 31.57 por el Salmón a la mostaza.

Pollo al curry

Precio nuevo: 44.30

El 82% de 44.30 es (44.30) (.82) =36.32

Se recibirá 36.32 por el Pollo al curry.

Answer:

hope it will help uh.....