A truck driver drove 48 miles in 45 minutes. At this rate, how many miles can the truck driver drive in one hour?



__ miles in one hour

Answer:

[tex]2 {x}^{2} - 25 = 73 \\ 2 {x}^{2} = 73 + 25 \\ 2 {x}^{2} = 98 \\ {x}^{2} = 98 \div 2 = 49 \\ {x}^{2} = 49 \\ x = \sqrt{49} = 7 \\ x = 7 \\ thank \: you[/tex]

Answer:

[tex]\mid x-6 \mid \geq 0[/tex]

Step-by-step explanation:

We have two options for x; it is either 6 or greater than 6:

If [tex]x=6\\[/tex], [tex]\mid x-6 \mid = \mid 6-6 \mid = \mid 0 \mid = 0\\[/tex].

If [tex]x > 6[/tex], [tex]\mid x-6 \mid > \mid 6-6 \mid[/tex] => [tex]\mid x-6 \mid > 0[/tex].

(for example, if [tex]x=7\\[/tex], [tex]\mid x-6 \mid = \mid 7-6 \mid = \mid 1 \mid = 1 > 0[/tex])

So, [tex]\mid x-6 \mid = 0[/tex] or [tex]\mid x-6 \mid > 0[/tex]; [tex]\mid x-6 \mid \geq 0[/tex].

Step-by-step explanation:

$1660-$580= $1,080

Answer:

1660 minus 580

Step-by-step explanation:

they have already raised 580. so get 1660 is to subtract 1660 to 580

Answer:

= 2.8

Step-by-step explanation:

8.3 - 5.5 = 2.8

= 2.8

Answer:

answer is 6

Step-by-step explanation:

m^2 - 4m + 2

-2(2) - 4(-2) + 2

-4 + 8 + 2

-4 + 10

6

Answer:

3

Step-by-step explanation:

apply the BODMAS method

Answer:

A=124°

Step-by-step explanation:

5x - 5 = 180

5x = 185

x = 37

A=124

Here, we need to find the monthly and the weekly growth rate

The monthly growth rate is 99.33 ounces and the weekly growth rate is 22.9 ounces

Weight at birth = 8 ounces

Weight at one year =75 ounces

1 pound = 16 ounces

75 pounds = 1200 ounces

Additional weight after birth = Weight at one year - Weight at birth

= 1200 ounces - 8 ounces

= 1,192 ounces

There are 12 months in a year

Growth rate per month = Additional weight after birth / 12

= 1,192 / 12

= 99.33 ounces per month

There are 52 weeks in a year

Growth rate per week = Additional weight after birth / 52

= 1,192 / 52

= 22.9 ounces per week

Read more:

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Step-by-step explanation:

sin (A + B) = 1 =sin 90

A+B=90 equation 1

cos (A - B) = 1=cos 0

A-B=0 equation 2

add 1 and 2

2A=90 A=45

2B=90 B=45

Answer:

Step-by-step explanation:

See the picture below

Answer:

b² + 10b + 21

Step-by-step explanation:

First: b²

Outer: 7b

Inner: 3b

Last: 21

b² + 7b + 3b + 21 =

b² + 10b + 21

Answer:

[tex](b + 3)(b + 7) \\ b(b + 7) + 3(b + 7) \\ b {}^{2} + 7b + 3(b + 7) \\ b {}^{2} + 7b + 3b + 21 \\ b {}^{2} + 10b + 21[/tex]

hope this will help u :)

Answer:

D. none

Step-by-step explanation:

to figure out if the point is on the graph, take the x value and plug it in to the x coordinate, do the same for y. if the values truly add up to 2, then it is on the graph. Since none of the values add up to 2, they are not on the graph.

     We can solve this problem by using the fact that speed of typing is defined as the words typed in unit time.

Dana will type [tex]2.6\times 10^5[/tex] words in 48.15 hours.

It's given in the question,

Since, 1 minute = [tex]\frac{1}{60}[/tex] hours

Therefore, number of words she can type = [tex]\frac{90}{\frac{1}{60}}[/tex]

                                                                      = 90×60

                                                                      = 5400 words per hour

Number of words Dana types with the given speed in 'x' hours = Speed of typing × Time

= [tex]5400\times x[/tex]

Therefore, [tex]5400\times x =2.6\times 10^5[/tex]

[tex]5400x=260000[/tex]

[tex]x=\frac{260000}{5400}[/tex]

[tex]x=48.15[/tex] hours

               Therefore, Dana types [tex]2.6\times 10^5[/tex] words in 48.15 hours.

Learn more,

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9514 1404 393

Answer:

  a) J(K(x)) = x; K(J(x)) = x; functions are inverses

  b) f(g(x)) = 8 -x; g(f(x)) = -x; functions are not inverses

  c) f(x) = 4 -x; f^-1(x) = 4 -x. g(x) = x -4; g^-1(x) = x +4

Step-by-step explanation:

a) Substitute for the function argument in the usual way. If the functions are inverses, their composite is the identity function.

  J(K(x)) = J(1/3x -2) = 3(1/3x -2) +6 = x -6 +6 = x . . . . functions are inverses

  K(J(x)) = K(3x +6) = 1/3(3x +6) -2 = x +2 -2 = x . . . . functions are inverses

__

b) f(g(x)) = f(x -4) = 4 -(x -4) = 4 -x +4 = 8 -x . . . . functions are not inverses

  g(f(x)) = g(4 -x) = (4 -x) -4 = -x . . . . functions are not inverses

__

c) To find the inverse function for y = f(x), solve x = f(y).

The inverse of f(x) = 4 -x is ...

  x = f(y) = 4 -y

  y = 4 -x . . . . . add y-x to both sides

  f^-1(x) = 4 -x

and for g(x) = x -4, the inverse is ...

  x = g(y) = y -4

  x +4 = y

  g^-1(x) = x +4

Answer:

W = 90 ft

Step-by-step explanation:

1 acre = 43,560 ft^2

A (area) = L (length) x W (width),

L = 484

A = 43560

W = A/L

= 43560/484

= 90 ft

Answer:

9+x = 2y+14

Step-by-step explanation:

It says 9 plus a number, so plug in x for 'a number', and it says 'is twice a number plus 14'. Plug in '=' for is another variable for 'a number', and last but not least, just put +14 for plus 14

Answer:

9.00002 and 0.009 igs I am trying my best to understand lol

Answer:

$9.20

Step-by-step explanation:

you divide 46 by 5 and you get 9.20

Answer:

9.50

Step-by-step explanation:

$46 divided by 5 which equals $9.50

Answer:

Step-by-step explanation:

Original equation

    √x+6-4 = x

   Isolate

    √x+6 = 4+x

Raise both sides to the second power

    (√x+6)2 = (4+x)2

    After squaring

    x+6 = x2+8x+16

Rearranged equation

    x2  + 7x  + 10 = 0

    This equation has two rational roots:

      {x1, x2}={-2, -5}

Original equation, root isolated

    √x+6 = 4+x

    Plug in  -2 for  x  

     √(-2)+6 = 4+(-2)

     Simplify

     √4 = 2

     Solution checks !!

    Solution is:

     x =  -2

Original equation, root isolated

    √x+6 = 4+x

    Plug in  -5 for  x  

     √(-5)+6 = 4+(-5)

     Simplify

     √1 = -1

     Solution does not check

     1 ≠ -1  

Answer:

Step-by-step explanation:

m+np

Now

Step-by-step explanation:

let the no. be x

x+91+5623+911=6630

or,x+6625=6630

or,x=6630-6625

ans=5

Answer:

-72

Step-by-step explanation:

Substitute -4 in the equation

h(-4) = -20 + 13(-4)

h(-4) = -20 + -52

h(-4) = -72

-72 is the final answer

Answer:

Step-by-step explanation:

You are giving away a lot of points. Usually 20 will attract our attention. I mean you put up 20 and we get 10. It's enough.

h(t) = - 20 + 13t

In this case t is going to be - 4

h(-4) = -20 + 13(-4)

h(-4) = -20 - 52

h(=4) = -72

Answer:

$1,856.25

Explanation:

To find the square yards, multiply length and width

7.5 * 5 = 37.5

Then, since each square yard costs $49.50, multiply the square yards and the cost

37.5 * 49.50 = 1,856.25

Thus the answer is $1,856.25

The carpet for the room will cost $1,856.25.

This is the product of the unit cost per square yard multiplied by the area of the room.

The area of the room is = 37.5 square yards (Length x Width)

Length of the room = 7.5 yards

Width of the room = 5 yards

Therefore, the total area of the room = 37.5 square yards (7.5 x 5)

Thus, the total area of the room is 37.5 square yards and since each square yard costs $49.50, the total cost for buying the carpet will cost $1,856.25 ($49.50 x 37.5).

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Answer:

44

Step-by-step explanation:

Let S = strawberry count

Chocolate = 1/4 * 80 = 20

Vanilla = 1/5 * 80 = 16

Total = C + V + S

80 = 20 + 16 + S

80 - 20 - 16 = S = 44

my guess is "15m" is it correct ?

Explanation:

Apply the pythagorean theorem to find the missing side.

[tex]a^2 + b^2 = c^2\\\\x^2 + 20^2 = 25^2\\\\x^2 + 400 = 625\\\\x^2 = 625-400\\\\x^2 = 225\\\\x = \sqrt{225}\\\\x = 15[/tex]

The horizontal leg of the right triangle is 15 meters long. This is the distance from the base of the tree to the base of the building.

Side note: This right triangle is based off the 3-4-5 right triangle. It has been scaled up by a factor of 5.

All the elements of the given set {2,4,8,...,256} are - {2, 4, 8, 16, 32,64, 128, 256} that are total 8 in numbers.

The set is formed by the number of objects in a particular manner, these objects are called elements of the set. The elements of the set are written inside a curly bracket separated by a comma in a particular or specific order.

There are two methods to represent the set and its elements that are:

in this case, {[tex]2^{1},2^{2},2^{3},2^{4},2^{5},2^{6},2^{7},2^8[/tex]} as we know,

so the set notation would be :

= {x:x = [tex]2^{n}[/tex], n∈N and 1 ≤ n ≤ 8}

The listing method:  {2, 4, 8, 16, 32,64, 128, 256}\

Thus, the above mention set is all the elements of the set.

Learn more about set notation:

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Answer:

Step-by-step explanation:

Given:

Find the composite function (g·h)(t):

Find (g·h)(-4 + t):

The given information is,

→ g(t) = t + 5

→ h(t) = 3t - 2

Now we have to,

find the composite function (g•h)(t),

→ (g•h)(t)

→ g(h(t))

→ (3t - 2) + 5

→ 3t + 3

Let's find the (g•h)(-4 + t):

→ (g•h)(-4 + t)

→ g(h(-4 + t))

→ 3(-4 + t) + 3

→ -12 + 3t + 3

→ 3t - 9

Hence, the value is 3t - 9.