Evaluate 3 m + n 2 8 when m = –6 and n = 12.

Answer:

Step-by-step explanation:

Not Sure

Area of PNQ + Area of LPQ = Area of LQM

Area of LQM = 8cm² + 16cm²

Area of LQM = 24cm²

Answer:

21÷3=3×÷3

7=×

-x=-7

x=7

22=y

-y=-22

y=22

The unknown number will be 31, if -16 is added to it and the sum is doubled, the result is 1 less than the number.

Let the unkown number be x.

Now according to the given question.

If -16 is added to the unknown number and the sum is doubled, the result is 1 less than the number.

⇒  (x + (-16))2 = x - 1

⇒ 2x - 32 = x - 1

⇒ 2x - x = -1 + 32

⇒ x = 31

Hence, the unknown number will be 31, if if -16 is added to it and the sum is doubled, the result is 1 less than the number.

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Answer:

19,,

Step-by-step explanation:

Using proportions, it is found that:

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

On the horizontal axis, each tic represents 5 seconds, hence:

3 x 5 = 15 seconds.

The time represented by the third tic mark on the horizontal axis is of 15 seconds.

On the vertical axis, each tic represents 9 meters, hence:

4 x 9 = 36 meters.

The position represented by the fourth tic mark on the vertical axis is of 36 meters.

When t = 3 x 5 = 15s, y = 2 x 9 = 18m, hence:

The position at t = 15s is of 18 m.

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The value of a is 3.

The value of b is -14.

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

The function of the graph is,

y = 2x² + ax + b

The graph intersects the x-axis at the points (-7/2, 0) and (2, 0).

Now,

Since, The graph intersects the x-axis at the points (-7/2, 0) and (2, 0).

Hence, The points must satisfy the graph of the function.

So, Points (-7/2, 0) and (2, 0) are satisfy the function y = 2x² + ax + b.

When point (-7/2, 0) satisfy the function y = 2x² + ax + b

Then,

0 = 2 × (-7/2)² + a × (-7/2) + b

0 = 49/2 - 7a/2 + b

7a/2 - b = 49/2 .... (i)

And, When point (2, 0) satisfy the function y = 2x² + ax + b

Then,

0 = 2 × (2)² + a×2 + b

2a + b = -8    .... (ii)

Add equation (i) and (ii) we get;

7a/2 - b + 2a - b = 49/2 + (-8)

11a/2 = 33/2

11a = 33

a = 3

And, 2a + b = -8

2 × 3 + b = -8

b = -8 - 6

b = -14

Hence, The value of a is 3.

The value of b is -14.

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The correct answer for the following question is [tex]672.227[/tex]

As per the question statement, we have to find a number that has 7 in tens and thousandths places, 2 in the hundredths, tenths and ones places and 6 in the hundreds place.

Before solving this question, we need to know about decimal place values and its operations.

Solving as per given statements,

7 in tens place, [tex]7*10=70[/tex]

7 in thousandths place, [tex]7*\frac{1}{1000} =0.007[/tex]

2 in hundredths place, [tex]2*\frac{1}{100} =0.02[/tex]

2 in tenths place, [tex]2*\frac{1}{10} =0.2[/tex]

2 in ones place, [tex]2*1=2[/tex]

6 in hundreds place, [tex]6*100=600[/tex]

Adding the above values and we will get 672.227

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The algebraic expression of the statement is 2n - 7 = 9

The mathematical statement is given as;

The Difference of twice a number(n) and 7 is 9

Twice a number n means 2n

So, we have

The Difference of 2n and 7 is 9

Difference means minus

So, we have

2n - 7 = 9

Hence, the algebraic expression of the statement is 2n - 7 = 9

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The length of the diagonal of the TV is 50 inches

Given that the TV is 30 inches tall and 40 inches wide.

So length of the TV, l = 30 inches

and Width of the TV = 40 inches

The angle between the length and width of the TV is right angle. So we can use Pythagoras Law here.

That is, square of the hypotenuse is equal to the sum of the squares of the base and altitude of the right triangle.

i.e., If 'd' is the diagonal of the TV, then,

    [tex]d^2 = l^2 +b^2 = 30^2+40^2 = 2500[/tex]

This implies that  [tex]d=\sqrt{2500}=50[/tex] inches.

So the diagonal of the TV is 50 inches long.

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Answer:

50 inches

Step-by-step explanation:

Hope this helps

We use the slope equation to solve for the slope/gradient of a line:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We're given:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Plug in the given information:

[tex]-\dfrac{1}{6}=\dfrac{-6-y}{4-(-2)}\\\\-\dfrac{1}{6}=\dfrac{-6-y}{4+2}\\\\-\dfrac{1}{6}=\dfrac{-6-y}{6}[/tex]

Cross multiply (by multiplying the numerators by the opposite denominators):

[tex]-\dfrac{1}{6}=\dfrac{-6-y}{6}\\\\-1\times 6=6(-6-y)\\-6=-36-6y\\30=-6y\\y=-5[/tex]

y = -5

Answer:

does ² mean ×2?

cuz if it does that maybe I can help

Answer:

3x+15

Multiply the single term 33 by each term of the polynomial (x+5)

3x+15

There is 50% increase in the change in the volume of cylinder A to A

The formula for the volume of the cylinder is given as

         V = Πr^2h              (1)

  Where, r = radius of the cylinder

                h = height of the cylinder

We have been given the radius and height of cylinder A which are,

       r = 10 inches

       h = 5 inches

Now putting the required values in equation (1) we get

 V = Π(10)^2(5) cubic inches

 V = Π*100*5 cubic inches

V = 500Π cubic inches

We have also been given the volume of cylinder B = 750Π

Thus percentage change in volume of cylinder = (750Π - 500Π)/500Π * 100

                                                                                   = 50%

Hence there is 50% increase in the change of the volume from cylinder A to B

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Greetings from Brasil...

V = πr²h   -   isolating h

Answer:

28y - 4z

Step-by-step explanation:

Hey there!

In order to simplify this, we need to first distribute the numbers outside of the parentheses to the numbers inside the parentheses:

20y + 8z + 8z - 20z + 8y

Now we combine like terms:

28y - 4z

There are -5 limbs does the mutant zombie has compared to yesterday in linear equation.

What in mathematics is a linear equation?

Now,

Based on the given conditions, we formulate;

5 - 12 + 2

Calculate the sum or difference = - 7 + 2 = -5

We get the result = -5

Therefore, There are -5 limbs does the mutant zombie has compared to yesterday.

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The slope of a line is defined as the ratio of the difference between the y-coordinate and x-coordinate of the two points m= y₂-y₁/x₂-x₁

We have total spending = $15

So the equation of the budget line will be

PсQс+ PрQр = 15

Where, Pс and Qс is the price of unit candy and quantity of candy respectively. Pр and Qр is the price of unit peanuts and quantity of peanuts respectively.

Part A:Goods A B C D E F Candy Bars 0 4 8 12 16 20Bag of peanuts 10 8 6 4 2 0

Part B :Graph of Budget line

Budget line The slope of a budget is -2 i.e ratio of the prices.

Opportunity costs remain constant as each additional unit of the product is purchased.

The opportunity cost of one more candy bar is 0.5 bags of peanuts.

The opportunity costs of one more bag of peanuts are 2 candy bars.

Part C: No, it tells only what is possible.

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Using the relation between velocity, distance and time, the distance of the plane ride between Los Angeles and New York is of 270 miles.

Velocity is distance divided by time, hence the following equation is built to model the relationship between these variables:

v = d/t.

For the Los Angeles to New York trip, we have that the time is of 5 hours, hence:

v = d/5.

v = 0.2d.

For the return trip, we have that the time is of 6 hours, while the velocity is 99 mph slower, hence:

v - 99 = d/6.

From the first equation, we have that:

v = 0.2d.

Replacing on the second:

0.2d - 99 = d/6.

d(0.2 + 1/6) = 99

0.3667d = 99

d = 99/0.3667

d = 270 miles.

The distance of the plane ride is of 270 miles.

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The incorrect option is d) 7/8 > 10/11.

a) 3 / 11 < 5/13

3/11 = 0.2727

5/13 = 0.3846

As it is given 3/11 < 5/13

hence a) 3 / 11 < 5/13 is correct.

b) 5/6 < 7/8

5/6 = 0.8333

7/8 = 0.875

As it is given 5/6 < 7/8

hence b) 5/6 < 7/8  is correct.

c) 2/3 > 1/2

2/3 = 0.6666

1/2 = 0.5000

As it is given 2/3 > 1/2

hence c) 2/3 > 1/2 is correct.

d) 7/8 > 10/11

7/8 = 0.8750

10/11 = 0.9090

As it is given  7/8 > 10/11

hence d) 7/8 > 10/11 is incorrect.

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Answer:

No solution.

Step-by-step explanation:

Simplify the equation.

2(x + 5) + 5 = 6x - 4(-5 + x)           {Use distributive property}

2*x + 2*5 + 5 = 6x - 4*(-5) + (-4) * x

2x + 10 + 5    = 6x + 20 - 4x      

  2x + 10 + 5 = 6x - 4x + 20  {Combine like terms}

        2x + 15 = 2x  + 20

                This equation has no solution.

Using the subtraction between two amounts, it is found that:

The difference between the longest and shortest measurement is of 33 cm.

The measurements are given as follows:

To find the difference between difference between the longest and shortest measurement, we have to subtracted the longest measurement by the shortest measures.

From the measurements given, we have that:

Hence, the subtraction is given as follows:

41 cm - 8 cm = 33 cm.

The difference between the longest and shortest measurement is of 33 cm.

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Answer:

it's a very easy question.

let the unknown point be x,y.

Using translation concepts, the point that lies on the new graph is given by: (-1, -4).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

The equivalent translation to an horizontal shrink by a factor of a a function f(x) is given by:

f(ax).

Hence, in this problem, for the horizontal shrink by a factor of 4, the function will be given by:

g(x) = f(4x) = 4x.

Then when x = -1, the output is given by:

g(-1) = 4(-1) = -4.

The point that lies on the new graph is given by: (-1, -4).

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The length of the building in the drawing wiil be 20 cm if the scale is 1cm:2m.

Let the length of the building in the drawing be x.

According to the given question.

Tara measured a boarding school and made a scale drawing. she used the scale 1 centimeter : 2 meters.

So, the given sclae is 1cm : 2m

Also, the actual length of the bulding at the school is 40 meters.

Since, we have to find the the length of the building in the drawing.

Now by the proportional formula we can say that

x : 40 = 1 : 2

⇒ 2x = 40

⇒ x = 20 cm

Hence, the length of the building in the drawing wiil be 20 cm if the scale is 1cm:2m.

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Answer:

if your doing IXL than 20cm is correct

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

If the system has infinitely many solutions, then

     [tex]\sf \boxed{\bf \dfrac{a_1}{b_1}= \dfrac{a_2}{b_2}= \dfrac{c_1}{c_2}}[/tex]

    ax + by = 12  ⇒ a₁ = a  ; b₁ = b ; c₁ = 12

    2x + 8y =60  ⇒ a₂ = 2  ; b₂ = 8 ; c₂ = 60

[tex]\sf \dfrac{a}{2}= \dfrac{b}{8}= \dfrac{12}{60}\\\\\\ \dfrac{a}{2}= \dfrac{12}{60}\\\\a = \dfrac{12}{60}*2\\\\a = \dfrac{2}{5}[/tex]

                         [tex]\sf \dfrac{b}{8}= \dfrac{12}{60}\\\\ b = \dfrac{12}{60}*8\\\\b = \dfrac{8}{5}\\[/tex]

[tex]\sf \dfrac{a}{b}= \dfrac{ \dfrac{2}{5}}{ \dfrac{8}{5}}\\\\[/tex]

    [tex]\sf = \dfrac{2}{5}* \dfrac{5}{8}\\\\ = \dfrac{1}{4}[/tex]

The smallest integer is 4.

Let the numbers be x, x+1 and.x + 2.

Therefore, the expression will be:

x + x + 1 + x + 2 = x(x + 2) - 9

3x + 3 = x² + 2x - 9

Collect like terms

x² + 2x - 9 - 3x - 3

x² - x - 12 = 0

x² -4x + 3x - 12

x(x - 4) + 3(x - 4)

x - 4 = 0

x = 0 + 4 = 4

The smallest number is 4.

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Answer:

y=x=70

hope this helps

Step-by-step explanation:

In parallelogram the adjacent angles are supplementary

∠TBE+y=180

110+y=180

y=70

Also, opposite angles of a parallelogram are equal.

z=∠TSE=110

y=x=70