Is 2(–2) + 6(2) equivalent to (–3)(–3) + (–1)(1)? Let negative numbers be represented with a "–" symbol and positive numbers be represented by "+" symbol. Use a pictorial model to justify your answer.

B) 3/2

The radius of a circle is half its diameter.

Thus, the radius of the orange circle is 6, and the blue circle is 4

Thus the ratio is 4/6, which can be simplified to 3/2

Hope it helps <3 (Also, just answered this question for someone else!!)

Answer:

B. 3/2

Step-by-step explanation:

EDG

Answer:

  90°

Step-by-step explanation:

The sum of the arcs around the circle is ...

  2x +4x +4x +2x = 360°

  x = 360°/12 = 30°

The numbered angle is the average of the measures of the intercepted arcs, so is ...

  (4x +2x)/2 = 3x = 3(30°) = 90°

The numbered angle is 90°.

Answer:

E - 40°

Step-by-step explanation:

Angle O = 2 × y

{Angle at center is equal to twice the angle at circumference formed by the same arc}

O = 2 × 70°

O = 140°

x + 90° + 90° + O = 360°

{Sum of angles in a quadrilateral is equal to 360°}

x + 90° + 90° + 140° = 360°

x + 320° = 360°

x = 40°

Answer:171.5

Step-by-step explanation:

7=✓3.5*x

49=3.5 x

x=48/3.5

x=48*35/10=24*35/5=24*7=168

AW=168

LW=3.5+168=171.5

Hey there! :)

Answer:

A) (1, 6)

Step-by-step explanation:

Solve by setting both equations equal to each other. Begin by rearranging each equation to equal y:

3x + y = 9

y = -3x + 9

--------------

y - 2x = 4

y = 2x + 4

---------------

-3x + 9 = 2x + 4

Add 3x to both sides:

-3x + 3x + 9 = 2x + 3x + 4

9 = 5x + 4

Subtract 4 from both sides:

9 - 4 = 5x + 4 - 4

5 = 5x

Divide both sides by 5:

5/5 = 5x/5

x = 1. Substitute 1 into an equation to solve for y:

3(1) + y = 9

3 + y = 9

y = 9 - 3

y = 6.

Therefore, the coordinates of the solution are:

A) (1, 6)

Answer:

[tex]\boxed{OptionA}[/tex]

Step-by-step explanation:

3x+y = 9

y-2x = 4

Subtracting both equations

=> 3x+y-(y-2x) = 9-4

=> 3x+y-y+2x = 5

=> 3x+2x = 5

=> 5x = 5

Dividing both sides by 5

=> x = 1

Now, Putting x = 1 in the first equation

=> 3(1)+y = 9

=> 3+y = 9

=> y = 9-3

=> y = 6

Ordered pair = (x,y) = (1,6)

Answer: 172

 If something is below underwater then it is a negative. They are under water they are both negatives. To find the distance you subract both number and get their absolute value.

-227-55= -172

Absolute value=172

Answer:

Landing on  a 1 or 2.

25% means 0.25, or 2/8 chance of winning. The spinner has 2 out of 8 as 1 or 2.  

Answer:

x = -0.23

Step-by-step explanation:

2000=5000e^4x

=> e^4x = 2000/5000 = 2/5

taking the natural logarithn on LHS and RHS

ln e^4x = ln2/5

=> 4x lne = ln2/5

we know ln e = 1, also ln a/b = lna - ln b

ln 2 = 0.693, ln 5 = 1.609

4x = ln2 - ln5

4x = 0.693 - 1.609

x = -0.916/4 = -0.229

Thus, x = -0.23 rounded to two decimal place.

Answer:

Hey there!

1 liter is equal to 1000 milliliters.

0.25 liters is equal to 250 milliliters.

One mega meter is equal to 1000000 meters.

1.2 Mm= 1200000 meters.

Hope this helps :)

Step-by-step explanation:

1l = 1000ml

Convert 0.25 litres to milliliters

0.25 x 1000 = 250 ml

1 megametre = 1000000

1.2 x 1000000= 1200000m

Answer:

The answer is option A.

[tex]7( \frac{x}{8} ) + \frac{3}{4} = - 6[/tex]

Hope this helps you

Answer:

1

Step-by-step explanation:

the two last answers are obviously wrong (if you want I can explain it to you in the comments)

the second one is mathematically wrong

So I am pretty sure the correct answer is the first one

Answer:

h(t) = h₀ + v₀·t + 1/2 g t² with

h₀=0.125, v₀=80 ft/s and g=32.174 ft/s²

4.9 seconds

Step-by-step explanation:

16.087 (t - 2.48648)^2 - 94.5842 = 0

solving as a quadratic equation yields t ≈ 4.9 seconds

Answer:

Last Choice: Angles F and C are congruent

Step-by-step explanation:

Angles F and C are congruent because they are vertical angles.

All other pairs of angles in the choices are not necessarily congruent.

Answer:

b = 28

Step-by-step explanation:

Given

a(7x+2)=bx+8

=> 7ax + 2a = bx + 8

in both the equation there is a term containing x and a term not containing x.

since value of both equation is equal. hence

term containing x on both side will be equal to each and

term independent of x will be equal in both the equation

thus

7ax = bx

2a = 8

=> a = 8/2 = 4

now, plugging a = 4 in 7ax = bx

7*4x = bx

=> b = 7*4x/x = 28.

Thus, value of b is 28.

Answer:

25 units

Step-by-step explanation:

This problem can be solved by using concept of Basic proportionality theorem.

This theorem states that if there is line drawn parallel to any side of the triangle, and it intersect the other two sides, then

segment divided on those two sides are in equal proportion.

Let naem this triangle

the side containing 15 and 6 be AB, with A be point on segment having length 15 units

B be  point on segment having length 6 units

c be point on segment having length ? units

DE line parallel to BC

Thus, if apply Basic proportionality theorem. in this then ratio formed will be

15/6 = ?/10

5/2 = ?/10

?= 5/2* 10 = 25

The length of missing segment is 25 units.

Answer:

A. 2614 m^2 to the nearest square meter.

Step-by-step explanation:

Volume of the sphere

= 4/3 pi r^3 = 4000 pi

4/3 r^3 = 4000

r^3 = 4000 * 3/4 = 3000

r = ∛(3000)

The surface area

=4 pi r^2

= 4 * pi *  (∛(3000)^2

= 4 * pi * 208.008

= 2613.91 m^2.

Answer:

0.3 Train is late

Step-by-step explanation:

20% - Train is early

50% - Train is on time

add

0.2 + 0.5 = 0.7

subtract from 1

1 - 0.7 = 0.3

Answer:

The rule for the translation can be written as T3, –5(x, y)

Triangle ABC has been translated 3 units to the right and 5 units down.

Step-by-step explanation: I think this is correct

True statements are

The rule for the translation can be written as T3, –5(x, y).

Triangle ABC has been translated 3 units to the right and 5 units down.

Given :

The graph is attached below

Given options are

The rule for the translation can be written as T–5, 3(x, y).

The rule for the translation can be written as T3, –5(x, y).

The rule for the translation can be written as

(x, y) → (x + 3, y – 3).

The rule for the translation can be written as

(x, y) → (x – 3, y – 3).

Triangle ABC has been translated 3 units to the right and 5 units down.

Explanation :

In the triangle ABC, A is at (-1,3)

In A'B'C', A' is at (2,-2)

From these points we can see that

[tex]-1+3=2\\3-5=-2[/tex]

So , 3 is added with x value and -5 is added with y value

Hence, we can say that Graph ABC is shifted 3 units to the right and 5 units down.

Rule for the translation can be written as [tex]T_{3,-5}(x,y)[/tex]

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Hey there! :)

Answer:

False.

Step-by-step explanation:

In a point, the coordinates are in the format:

(x, y).

In this instance, x = 5 and y = -3. This means that to plot the point, you would need to:

Move right 5, down 3.

Answer:

False

Step-by-step explanation:

To plot the point (5, -3) you would move right 5, then down 3.

Answer:28oz-$4.89 is better deal. It is 17.5 cents per oz.

Step-by-step explanation:

Answer: The best option would be the 28 oz option

Step-by-step explanation:

First you would divide the dollar amount by the amount of ounces to get how much it is per ounce. For the 18 oz jar it is about 0.182 per ounce. For the 22 oz jar it is about .181 per ounce. For the 28 it is about 0.175 per ounce. Therefore the 28 oz is the best option.

Answer:

45 square units

Step-by-step explanation:

In the above question, we are given the following values

The ratio of the lengths of the corresponding sides of two regular octagons is 8 to 3.

This means the length of the larger octagon = 8

The length of the smaller octagon = 3

Using scale factor denoted as k and because we are dealing with area of the octagon

k = 3²/8²

The area of the larger octagon is 320 ft².

The area of the smaller octagon s represented as y and is calculated as

k = y/Area of larger octagon

3²/8² = y/320

Cross multiply

8² × y = 3² × 320

y = 3² × 320/8²

y = 45 square units

Area of smaller octagon = 45 square units.

Answer:

x=5,6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Draw a dashed horizontal line at y = 7, and under this line, from the x-axis to the line y = 7, draw the v-shaped graph of the absolute value function.

Next, draw a solid horizontal line at y = 5.  

Shade the area between these two lines, touching the line y = 5 but not touching the line y = 7.  The result will be a trapezoid-shaped area.  All points in this area are solutions to this system of inequalities.

Answer:  36 three-point field goals

Step-by-step explanation:

To solve this problem, set up a system of equations. Let's call the number of  one-pointers [tex]w[/tex], the number of two-pointers [tex]x[/tex], and the number of three-pointers [tex]y[/tex]. We are trying to find [tex]y[/tex] here. We also know that [tex]w+x+y=85[/tex], because that is the total amount of baskets, and also that [tex]w+2x+3y=184[/tex], which is the total amount of points. We know that there were 22 free throws,  so that means we can take away 22 baskets from the first equation, and also 22 points from the second equation. Now the equations are [tex]x+y=63[/tex]  and[tex]2x+3y=162[/tex]. Solving the equations using our knowledge of systems of equations, you get that [tex]y=36[/tex]. So, 36 is the answer. Let me know if anything was unclear, and I hope this helped.

The number of two-point and three-point field goals they made is 27 and 36, respectively.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of two points basket be represented by x and the number of three points basket be represented by y.

Now, since the total number of basket is 85, out of which 22 were free throw. Thu, we can write the equation as,

22 + x + y = 85

Solving the equation for x,

x = 85 - 22 - y

x = 63 - y

Further given that the total point made is 184. Therefore, the total number of score can be written as,

22 + 2x + 3y = 184

22 + 2(63 - y) + 3y = 184

22 + 126 - 2y + 3y = 184

y = 36

Substitute the value of y in the first equation,

22 + x + y = 85

x = 85 - 22 - 36

x = 27

Hence, the number of two-point and three-point field goals they made is 27 and 36, respectively.

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Answer:

Option B.

Step-by-step explanation:

The given relation is

[tex]x=2y^2+6[/tex]

At y=-2,

[tex]x=2(-2)^2+6[/tex]

[tex]x=2(4)+6[/tex]

[tex]x=8+6[/tex]

[tex]x=14[/tex]

Similarly,

At y=-1,

[tex]x=2(-1)^2+6=8[/tex]

At y=0,

[tex]x=2(0)^2+6=6[/tex]

At y=1,

[tex]x=2(1)^2+6=8[/tex]

At y=2,

[tex]x=2(2)^2+6=14[/tex]

So, the points for the graph of the relation are (14,-2), (8, -1), (6,0), (8, 1), (14, 2).

Therefore, the correct option is B.

Answer:

Step-by-step explanation:

2y - 12 is correct.

2(y - 12) would apply if the problem statement were:  "twice the difference of y and 12".  

The algebraic expression that represents the phrase “two times the quantity of a number minus 12” is 2y - 12.

Given phrase,

Two times the quantity of a number minus 12.

We need to find an algebraic expression that represents the above phrase.

The given phrase is "Two times the quantity of a number minus 12".

We will separate it into two parts :

- Two times the quantity of a number

- Minus 12

Let the quantity of a number be y.

So we have,

"Two times the quantity of a number" can be written as:

= 2 x y

Adding the other parts "Minus 12" we get:

= 2y - 12

Thus, the algebraic expression that represents the phrase “two times the quantity of a number minus 12” is 2y - 12.

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Answer:

B. (8,1)

Step-by-step explanation:

x+y=9

x-y=7

x=7+y

Therefore in the equation x+y=9 , x=7+y

(7+y)+y=9

7+2y=9

2y=9-7

2y=2

y=2/2=1

therefore x=7+y

=7+1=8

The solution of the system of equation are,

⇒ (8, 1)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

System of equations are,

x + y = 9  .. (i)

x - y = 7  .. (ii)

Now, We can simplify as;

From (i);

x = 9 - y

Put in (ii);

x - y = 7

9 - y - y = 7

9 - 2y = 7

9 - 7 = 2y

2y = 2

y = 1

From (i);

x = 9 - y

x = 9 - 1

x = 8

Thus, The solution of the system of equation are,

⇒ (8, 1)

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Answer:

60 feet cubed

Step-by-step explanation:

We are told type of pyramid is a rectangular pyramid.

The volume of a rectangular pyramid = 1/3 × Length × Width × Height

We are told that the pyramids have a base of 4 feet by 5 feet and a height of 4.5 feet.

Volume for one of the pyramid =

1/3 × 4 × 5 × 4.5

= 30 cubic feet

Since the pyramid has the same measurements, that means the second pyramid also has the volume of = 30 cubic feet.

The total volume of the figure of the two pyramids stacked together = 30 cubic feet + 30 cubic feet = 60 cubic feet or 60 feet cubed.

Answer:

60 ft

Step-by-step explanation:

Step-by-step explanation:

number of correct answer is x and

number of wrong answer is y

according to question

In the case of Radhika

5x-2y=30

x=10

y=10

In the case of Jay

5x-2y=-12

x=4

y=16

incorrect answer by Radhika is 10 and by jay is 16

Answer:

4.9

Step-by-step explanation:

In this case, the ratio of the surface area is equal to the square root of the ratio of surface area ; 6 : 9

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b

or

[tex]\dfrac{a}{b}[/tex]

The ratio of a cube with a surface area of 36 m² to a cube with a

surface area of 81 m².

The face assumed to be square, hence the area is equal to the square of the length.

36 / 81 = 6 / 9

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