Which problem can best be solved with the inequality
40 – 3x2 5?

Answer:

the answer is (4 + 21)(3-51) = (3-51)(4+ 21)

The equation is an example of the commutative property of multiplication is 4 + 21)(3-51) = (3-51)(4 + 21).

The commutative property is a mathematical statement that states that the order in which numbers are multiplied has no effect on the product.

According to the commutative property of multiplication, if we multiply two integers, the result will remain the same even if the positions of the integers are swapped.

Let A and B be the two integers, then;

A × B = B × A

As, we know commutative Property supports multiplication and Addition.

First,  (4 + 21) = (21 + 4)

This is Commutative Property of Addition.

Second,  (4 + 21)(3-51) = (3-51)(4 + 21)

This is Commutative Property of Multiplication

Third, (4 + 21(3-51) = (4 + 21)(3-51(1)

No property can be applied.

Fourth, (4 + 21) = (4 + 21 + 0)

This is expansion.

Learn more about Commutative Property here:

https://brainly.com/question/778086

#SPJ7

Answer:

3×2+2x-5

6-5+2x

1+2x

-4+7×2

-4+14

10

Answer:

75 cars

Step-by-step explanation:

Convert the 8 hours into minutes, 480.

Divide by the 32 minutes, 15.

Multiply by the number of cars in 32 minutes, 5.

Answer is 75.

Answer:

75 cars.

Step-by-step explanation:

Let's use a ratio to solve:

minutes  :  cars

    32       :    5

   160      :   25

   320     :   50

   480     :   75

Since 480 minutes is 8 hours, and they get 75 cars washed in 480 minutes, then they have washed 75 cars in 8 hours.

Answer:

D

Step-by-step explanation:

I took the test, dont listen to the person above me:)

Answer:

y<x+1

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Great circles are the largest possible circles that can be drawn around a sphere and are the lines called in Riemann's spherical geometry.

Answer:

no

Step-by-step explanation:

Let's check the first statement. 1 > 2 * 2 becomes 1 > 4. This is a false statement so the answer is no.

It is not a solution.      2x=2 and 2 is not bigger than 2 (which is y).

x+y = 1+2=3. # is not bigger than 3.

Answer:

f(x) > -x + 2

Step-by-step explanation:

First I found the equation of the line.

The y intercept is at 2 so I know to add 2 at the end

The slope is -1 since it is going downwards

Since the top side is shaded, that represents greater than, if it was shaded downwards, it would be less than

Putting all that together, the equation is f(x) > -x + 2

Answer:

a)=251.2 cm    b)=50240 cm

Step-by-step explanation:

a) The formula for calculating the circumference of a circle is c=d*pie, where D is the diameter of the circle.

Therefore, C = 2 * 40 * 3.14 = 251.2 cm

b) The distance covered by 200 revolutions of the wheel is 200 times the circumference, 200*251.2=50240 cm.So to think about this we can assume that there is a point A on the wheel, the distance that point A travels when it rotates 200 times.

An acute triangle

Step-by-step explanation:

Using a calculator, these measurements fit an acute scalene triangle.

Answer:

acute

Step-by-step explanation:

Answer:

ASA postulate: 1 side, 2 angles equal

Step-by-step explanation:

ASA postulate: 1 side, 2 angles equal

Answer:

195 m.

Step-by-step explanation:

The time for the  sound waves to reach the fish is 0.26/2 = 0.13 seconds.

Distance = speed * time

= 1500 * 0.13

= 195 m.

Answer:

Step-by-step explanation:

A direct variation equation is of the form

y = kx,

where, in words, it reads "y varies directly with x" or "y varies directly as x". In order to use this as a model, we have to have enough information to solve for k, the constant of variation. The constant of variation is kind of like the slope in a straight line. It rises or falls at a steady level; it is the rate of change.

We have that a vet gives a dose of three-fifths mg to a 30 pound dog. If the dose varies directly with the weight of the dog, then our equation is

d = kw and we need to find k in order to have the model for dosing the animals.

[tex]\frac{3}{5} =k(30)[/tex]

Divide both sides by 1/30 to get k alone.

[tex](\frac{1}{30})(\frac{3}{5})=k[/tex] and

[tex]k=\frac{1}{50}[/tex]

Our model then is

[tex]d=\frac{1}{50}w[/tex]

This means that for every pound of weight, the dog will get one-fiftieth of a mg of medicine.

Answer:

A

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

15.3-7.9=7.4

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

School allots £1500 to spend on a trip to the theatre.

Theatre tickets have a regular cost of £35 each and are on offer for 1/5 off

therefore 4/5*35 = 28 for the tickets

:

A train ticket for the day will cost £15 each.

therefore total cost for each: 28 + 15 = 43 pounds each

:

If 2 teachers and the maximum number of students attend, how much money will the school have left over?

:

let s = no. of students

43(s+2) =< 1500

43s + 86 =< 1500

43s =< 1500 - 86

43s =< 1414

s =< 1414/43

s =< 32.88, 32 students max

:

find how much left over. plus 2 teachers = 34 people

1500 - 43(34) =

1500 - 1462 = 38 pounds left over

Answer:

Step-by-step explanation:

Any line that segments a circle and joins two points at the circumference of a circle is called a chord.

line AB is a chord

While

line EC is a diameter

line DF is a radius

Answer:

Correct Answer should be AB

Step-by-step explanation:

I toke the quiz so I know its correct

Answer:

465

Step-by-step explanation:

Of means multiply

310% * 150

Change to decimal form

3.10 * 150

465

Answer:

465

Step-by-step explanation:

1 percent of 150 is 1.5.

Multiply 1.5 by 310 to 465

Answer:

[tex]\mathrm{2.325 \: hours}[/tex]

Step-by-step explanation:

[tex]\frac{139.5}{60}=2.325[/tex]

[tex]\mathrm{2 \: hours\: 19.5 \: minutes}[/tex]

Answer:

walk is 24 people

bus is 44 people

Step-by-step explanation:

100% is 80

30% walk

15% bike

55% bus

work out 30%

so 50% is 40

25% is 20 (dived by 2)

5% is 4 (divide 50 by 10)

30% is 24

for bus do 50% is 40

5% is 4

55% is 44 (add)

Answer:

This is called a vertical translation, which is answer D.

Step-by-step explanation:

Given: g(x) = f(x) + 2.

This means that g(x) is the "same" like (x) and that all points of the graph of f(x) are shifted up by 2 units, in order to form g(x).

The type of transformation is called a vertical translation, which is answer D.

Answer:

He's descending at a pace of 2.3 meters per minute.

Step-by-step explanation:

This is because the equation shows us the slope or the speed he's going at.

A= -2.3t - 7

A= Altitude

-2.3 = Slope

- 7 is his starting altitude in meters

But every minute, t, he is going down 2.3 meters. It's easier to think about if you consider, A = y, and, t = x. Now you have the equation, y = -2.3x - 7.

And you graph it to see the progression in slope.

Answer:

60

Step-by-step explanation:

Since the perimeters are equal then:

(3x + 3) * 4 = (x + 8) * 5

12x + 12 = 5x + 40

7x = 28

x =4

Perimeter of square = (3*4 + 3) * 4 =

(12 + 3) * 4 = 60

Perimeter of pentagon = (4 + 8) * 5 =

(12) * 5 = 60

The answer is 60

Answer:B

Step-by-step explanation: because when u draw the number line all the negative numbers is written at the left side of the zero and all positive numbers are found at the right side of the zero

Answer: I believe it’s B

Step-by-step explanation:

Answer:

[tex]-\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{98} -\sqrt{128}[/tex]

[tex]\sqrt{49 \times 2} -\sqrt{64 \times 2}[/tex]

[tex]\sqrt{49} \sqrt{2} -\sqrt{64} \sqrt{2}[/tex]

[tex]7\sqrt{2}-8\sqrt{2}[/tex]

[tex]=-\sqrt{2}[/tex]

Answer:

1) [tex]a^2[/tex]

2) [tex]a^3[/tex]

3) [tex]b^4[/tex]

4) [tex]a^2b^2[/tex]

5) [tex]a^3b^2[/tex]

6) [tex]a^3b[/tex]

7) [tex]a^3b^2[/tex]

8) [tex]a^3b^2[/tex]

Step-by-step explanation:

1) a × a = [tex]a^2[/tex]

2) a × a × a = [tex]a^3[/tex]

3) b × b × b × b = [tex]b^4[/tex]

4) a × a × b × b = [tex]a^2b^2[/tex]

5) a × a × a × b × b = [tex]a^3b^2[/tex]

6) a × a × b × a = [tex]a^3b[/tex]

7) a × b × a × a × b = [tex]a^3b^2[/tex]

8) b × a × a × a × b  = [tex]a^3b^2[/tex]

Answer:

What is the question?

Step-by-step explanation:

Answer:

See attached:

If we change the sign of the leading coefficient of the polynomial, the graph of the new polynomial will open downwards. The graphs can be seen at the end.

Here we start with the polynomial:

[tex]f(x) = 2x^4 + 2x + 2[/tex]

The leading coefficient is one that multiplies the term with the largest exponent. In this case, is 2.

Changing its sign will cause the polynomial's arms now will open downwards (instead of upwards, as in the original polynomial).

The graphs of both functions can be seen below. The green is the original one, and the blue is the changed one.

If you want to learn more about polynomials:

https://brainly.com/question/4142886

#SPJ2