Harry drove for 3 hours on the​ freeway, then decreased his speed by 20 miles per hour and drove for 6 more hours on a country road. If his total trip was 483 ​miles, then what was his speed on the​ freeway?

Hey there!

48 + 60 = 108

The DISTRIBUTIVE formula:

12(4 + 5)

= 12(4) + 12(5)

= 48 + 60

= 108

OR EVEN

12(4 + 5)

= 12(9)

= 108

Therefore, your answer should be:

12(4 + 5)

Goof luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer: -m*(x-3y)*(3x-y)

(*=multiply btw)

Step-by-step explanation:

STEP 1:

Equation at the end of step 1

 (m • ((x + y)2)) -  4m • (x - y)2

STEP2:

Equation at the end of step 2

 m • (x + y)2 -  4m • (x - y)2

STEP3:

3.1     Evaluate :  (x+y)2   =    x2+2xy+y2

3.2     Evaluate :  (x-y)2   =    x2-2xy+y2

STEP4:

Pulling out like terms

4.1     Pull out like factors :

  -3mx2 + 10mxy - 3my2  =   -m • (3x2 - 10xy + 3y2)

Trying to factor a multi variable polynomial :

4.2    Factoring    3x2 - 10xy + 3y2

Try to factor this multi-variable trinomial using trial and error

Found a factorization  :  (x - 3y)•(3x - y)

Answer:

  4x² -11x +5 = 0

Step-by-step explanation:

Given α and β are roots of 4x² -5x -1 = 0, you want to find the quadratic equation that has (2-α) and (2-β) as its roots.

Factoring out the leading coefficient, we can write the factored form of the given quadratic as ...

  4(x -α)(x -β) = 0 = 4x² -5x -1

When the roots are changed from α and β to (2-α) and (2-β), the factored form of the new equation is ...

  4(x -(2 -α))(x -(2 -β)) = 0

  4(x -2 +α)(x -2 +β) = 0

Negating both factors allows us to write this in a familiar form:

  4((2 -x) -α)((2 -x) -β) = 0

Comparing to the original factored quadratic, we see that this is the original with x replaced by (2 -x). Then the quadratic we seek is ...

  4(2-x)² -5(2 -x) -1 = 0 . . . . . . . . . . . original with x replaced by (2-x)

  4(4 -4x +x²) -10 +5x -1 = 0 . . . . simplify a bit

  4x² -11x +5 = 0 . . . . . . . . . . simplify

The quadratic whose roots are (2-α) and (2-β) is 4x² -11x +5 = 0.

__

Additional comment

Effectively, the roots and the equation are reflected across the line x=1.

Step-by-step explanation:

are you serious ?

1/3 of 24 means dividing 24 by 3,

means 24×1/3 = 24/3 = 8

Answer:

A

Step-by-step explanation:

Point slope form is y-y1=m(x-x1)

If the point is (3, -2) then y1 is -2 and x1 is 3, then the equation should look like this y+2=m(x-3)

Then you just plug in -2 for m

The answer is C (x = 91.2)

Step-by-step explanation:

x - 15.2 = 76

x = 76 + 15.2

x = 91.2

Answer:

61.2

Step-by-step explanation:

1) 75:2=37.2

2) 120:5=24

3) 37.2+24=61.2

An inequality that represents Alicia’s possible age is x < 8.

For given question,

let x represent Alicia's age.

Amy is eight years older than twice her cousin Alicia’s age.

So, Amy's age would be 2x + 8

The sum of their ages is less than 32.

We write above statement in mathematical expression.

sum of their ages = (2x + 8) + x

                             = 3x + 8

The sum of their ages is less than 32.

We use the symbol < for 'less than'

So, the mathematical expression form of given statement would be,

(3x + 8) < 32

So, we get an inequality 3x + 8 < 32

⇒ 3x < 32 - 8

⇒ 3x < 24

⇒ x < 24/3

⇒ x < 8

Therefore, an inequality that represents Alicia’s possible age is x < 8.

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The correct option is (C) 45°

The measure of angle ∠OCA = 45°.

A circle is a depiction with no sides or vertices.

It includes a radius as well as a center. The center is the point from which all other points just on circle are equidistant, and the distance between them equals the radius.

Let AC equal the tangent to the circle with center O.

OA ⊥ AC   ....(The tangent has always been perpendicular to the radius.)

As, it is given that ∠OAC = 90° and ΔOAC is isosceles triangle.

Thus, ∠O = ∠C = x (say)

Now, using the triangle's angle sum property. We have it,

90° + x + x= 180°

On simplification;

x = 45°

Thus, the value of angle ∠OCA is 45°.

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The correct question is-

'O' is a centre of a circle, AC is a tangent to a circle at point A. If ΔOAC is an isosceles triangle, then find the measure of  ∠OCA

(A) 75°

(B) 50°

(C) 45°

(D) 40°

Answer:  -21

Step-by-step explanation:

To solve this, you must subtract either one of the numbers from the other, then take the absolute value.

The easiest way is to subtract -6 from 15, since it will allow you to work with positive numbers.

So you do 15 - (-6), which is the same as 15 + 6. The answer is -21, and since it is a positive number, no further calculations are required to find the absolute value.

Step-by-step explanation:

The simplest form of 12 to 14 is 6 to 7.

It should be noted that the information is that we should find the simplest form of 12 to 14.

In this case, it's important to look at their common factor. The common factor here is 2.

Therefore, the simplest form will be:

(12/2) / (14/2) = 6/7.

Therefore, the simplest form of 12 to 14 is 6 to 7.

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Answer:- 4x + 3y = 23

Step-by-step explanation: 1x=y=-7

0.125 gallons of 35% solution are required to achieve the specified ratio.

This is further explained below.

Generally, It takes 0.125 gallons of a 35% solution to get the ratio you want.

Eli wishes to mix 0.5 gallons of a 10% acetic acid solution with a 35% solution to create a 15% acetic acid solution; thus, the calculation below must be done to calculate how many gallons of

5% solutions are required:

1 x 10 + 2 x 35 = 80

=> 80 ÷ 3 = 26.66

1x10 + 1x35 = 45

=>45÷ 2 = 2.5

1 x 10 + 0.5 x 35 = 27.5

=>27.5 ÷ 1.5 = 18.33

1 x 10 + 0.4 x 35 = 24

=>24 ÷ 1.4 = 17.14

1 x 10 + 0.2 x 35 =17

=> 17 / 1.2 = 14.16

1 x 10 + 0.3 x 35 = 20.5

=> 20.5/ 1.3 = 15.76

1 x 10 + 0.25 x 35 = 18.75

=> 18.75 / 1.25 = 15

1 / 2 = 0.5

0.25 / 2 = 0.125

In conclusion, 0.125 gallons of 35% solution are required to achieve the specified ratio.

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CQ

eli wants to combine 0.5 gallons of a 10% acetic acid solution with a 35% solution to make a 15% acetic acid solution. he needs to determine how many gallons of 35% solution are needed eli decides to let v represent the volume of 35% solution and makes a table to help solve the problem

Answer:

if yours is how mine is- i hope this helps

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The mathematical expression, an inequality to be more specific which represents the given word phrase; -3 * a number increased by 7 is less than -11 is; -3a +7 < 11.

It follows from the task content that the mathematical expression which correctly represents the word phrase is to be determined.

Since the product of -3 and the number, a can be written as; -3 × a = -3a.

Hence, the word phrase as given in the task content can be written as;

-3a +7 < 11.

This follows from the concept of inequalities.

Ultimately, The mathematical expression, an inequality to be more specific which represents the given word phrase; -3 * a number increased by 7 is less than -11 is; -3a +7 < 11.

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Total time spend by Natalie doing her Math and English homework is 90 minutes ,equation represents the time she for math homework is a function of time she spends her English homework is y = 90-x.

As given,

Total time spend =90 minutes

Time spend on doing

English homework =x minutes

Math homework =y minutes

Equation representing the function,

y = 90-x

Therefore, total time spend is 90 minutes , equation represents the time she for math homework is a function of time she spends her English homework is y = 90-x.

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Answer: False

Step-by-step explanation:

4 x 106 = 424

Answer: false

Step-by-step explanation: I'm not even going to explain it just multiply 4 x 106

Answer:

50 divided by 5 is 10

Step-by-step explanation:

Answer:

x/5

Step-by-step explanation:

Answer:

declares that human rights are universal – to be enjoyed by all people, no matter who they are or where they live

Step-by-step explanation:

Answer:

answer is 4!

Step-by-step explanation:

Answer:

RS (-11,23)

Step-by-step explanation:

Don't know if this will help but if your looking for an endpoint, I did -2 = x+7/2 To find X. I got -2 from the X coordinate with midpoint. To get rid of the fraction I multiplied by 2 which leads to -4=x+7 since it cancels out the denominator/bottom fraction. X should be -11. Same thing with Y coordinate. 3= y- 17/2. Should give you 6=y- 17 which then becomes Y=23.

Sorry I'm not good at explaining

Answer:

describe any eight risky situation young people are frequently exposed to

The cyclist's acceleration vector is not zero.

For given question,

A cyclist goes around a level, circular track at constant speed.

We know that , acceleration is the rate at which velocity changes with time, in terms of both speed and direction.

When cyclist move around a circular track with constant speed cyclist's direction of motion changes with time.

This means, cyclist's velocity will change means cyclist's will have acceleration.

And cyclist's acceleration will not be zero.

Therefore, the cyclist's acceleration vector is not zero.

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Answer: log3^0.1+\:2log3^x\:=\:log3^2\:+\:log3^{\:}5

Step-by-step explanation: go to symbolab.com to get the step by step explanation or to answer problems like this hope this helps.

the equation formula y=2/3x+5 is (3,-3).

Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

based on the available facts;

You might be wondering how, but we can start with that 5 at the end, which denotes the y-intercept.

If 0 is used in place of x, then y=2/30+5y=5

We shall receive the first coordinate as a result, which is (0,5).

Let's then consider the slope, which is 2,3. As you may already be aware, the slope is also known as

rise/run

; what do they mean by that is that the first top number tells you how many units you go up and the second one how many units you go right or how many units you go down and go left.

Now, I know this may seem complicated but let's make it clear. Since we know one coordinate, which is

(0,5)

, from that point by knowing the slope we can find a second point; this point is 2 points above and 3 to the right, which tells us that −5+2

points above gives us −3 and 3 points on the right gives us a new coordinate:

(3,−3)

And since we now know two coordinates, that is enough to draw the line and have the graph.

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The algebraic expression for the area of desert in Africa is 5 x

Algebraic expressions are expressions that are comprised of variables, terms, factors, coefficients, and constants.

They are also made up of mathematical operations such as addition, subtraction, multiplication, division, etc.

From the information given, we have;

This can be expressed as;

Area of desert in Africa = 5 x

Thus, the algebraic expression for the area of desert in Africa is 5 x

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Answer:

Slope=1.000/2.000=0.500

b-i

q-i

b-(2*q+6)=0

Step-by-step explanation:

1.1     Solve   b-2q-6  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  b-2q-6  = 0 and calculate its properties

Notice that when b = 0 the value of q is 3/-1 so this line "cuts" the q axis at q=-3.00000

 q-intercept = 6/-2 = 3/-1  = -3.00000

When q = 0 the value of b is 6/1 Our line therefore "cuts" the b axis at b= 6.00000

 b-intercept = 6/1  =  6.00000

Slope is defined as the change in q divided by the change in b. We note that for b=0, the value of q is -3.000 and for b=2.000, the value of q is -2.000. So, for a change of 2.000 in b (The change in b is sometimes referred to as "RUN") we get a change of -2.000 - (-3.000) = 1.000 in q. (The change in q is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  1.000/2.000 =  0.500

 Slope = 1.000/2.000 = 0.500

 b-intercept = 6/1 = 6.00000

 q-intercept = 6/-2 = 3/-1 = -3.00000

Answer:

x = 2

Step-by-step explanation:

Let's solve for the value of x,

→ √2x - 1 + 3 = 4

→ √2x + 2 = 4

→ √2x = 4 - 2

→ 2x = (2)²

→ x = 4/2

→ [ x = 2 ]

Hence, the value of x is 2.

Answer:43

Step-by-step explanation: