What number is plotted on the number line?

Answer:

a > -9

subtract 6 from both sides to get 2/3 a > -6. Then multiply both sides by 3 to get 2a > -18. Last, divide both sides by 2 to get your answer: a > -9

Answer:

Step-by-step explanation:

[tex] \frac{2}{3} a + 6 > 0 \\ \frac{2}{3} a + 6 - 6 > 0 - 6 \\ \frac{2}{3} a > - 6 \\ \frac{2}{3} \times 3 \: \: a > - 6 \times 3 \\ 2a > - 18 \\ \frac{2a}{2} > \frac{ - 18}{2} \\ a > (- 9) \\ [/tex]

Answer:

70

Step-by-step explanation:

180-120=60

180-(60+50)=70

Answer:

m∠U = 70°

Step-by-step explanation:

find the missing inside angle, V:

180° - 120°

60°

so now the total interior angle of triangle is 180°

m∠U + 60° + 50° = 180°

m∠U = 180° - 110°

m∠U = 70°

Answer:

-10.2 and -7.2

6 and 9

Step-by-step explanation:

Let the numbers be x and y.

x² + y² = 117

y = 2x - 3

x² + (2x - 3)² = 117

x² + 4x² - 12x + 9 = 117

5x² - 12x - 108 = 0

(5x + 18)(x - 6) = 0

5x + 18 = 0  or x - 6 = 0

x = -18/5 or x = 6

x = -3.6 or x = 6

y = 2x - 3

y = 2(-3.6) - 3

y = -10.2

y = 2x - 3

y = 2(6) - 3

y = 9

Answer:

-3.6 and -10.2

6 and 9

The maximum and minimum acceptable diameter of the golf ball in the factory will be 42.672 mm to 42.668 mm.

The range is the difference between the maximum and minimum.

Given to us

The standard diameter of a golf ball is 42.67 mm.

The discrepancy in diameter is more than 0.002 mm.

As it is given to us that the standard diameter of the golf ball is 42.67 mm while the discrepancy in diameter is more than 0.002 mm.

Maximum acceptable diameter = 42.67 mm + 0.002 mm = 42.672 mm

Minimum acceptable diameter = 42.67 mm - 0.002 mm = 42.668 mm

Hence, the maximum and minimum acceptable diameter of the golf ball in the factory will be 42.672 mm to 42.668 mm.

Learn more about Range:

https://brainly.com/question/3507706

Answer:

Step-by-step explanation:

Area of the cut rectangle:

The area of the original fabric is twice the cut one:

Answer:

y = x + 7

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = 1 and (a, b ) = (- 7, 0 ) , then

y - 0 = 1 (x - (- 7) ) , that is

y = 1 (x + 7) ← distribute by 1

y = x + 7 ← in slope- intercept form

Answer:

x = 7, 1 (Multiple solutions)

Step-by-step explanation:

2(7) - 8 = 6

14 - 8 = 6

6 = 6

| 2(1) - 8 | = 6

| -6 | = 6

6 = 6

Answer:

-5

Step-by-step explanation:

when something is squared it can be positive or negative

Answer:

A = 5 units²

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

here b = AC = 5 and h = AB = 2 , then

A = [tex]\frac{1}{2}[/tex] × 5 × 2 = 2.5 × 2 = 5 units²

Answer: 1 liter is 1,000 milliliters

Step-by-step explanation:

It’s a conversion rule. Just plug in your liter value. Times your liter by 1000 and you will have your mililiter value.

Answer:

The probability that she picked a card that is not red is 11/14

Step-by-step explanation:

Number of blue marbles n(blue)=4

Number of red marbles n(red)=3

number of yellow marbles n(yellow)= 2

number of green marbles n(green)=5

total number of marbles n(S)=4+3+2+5=14

P(red)=n(red)/n(S)

P(red)=3/14

We have to determine the probability that the card picked is not red which means the card can be blue or yellow or green.

P(not red)=1-P(red)

               =1-3/14

                =11/14

Hope this helps

Excerpt from Brainly

Answer:

x = - 2

Step-by-step explanation:

2x + 6 = 2

2x = 2 - 6

2x = -4

x = -4/2

x = - 2

Hope it helps ⚜

The production cost is an illustration of a quadratic function

The equation of the production cost is [tex]y = ax^2 + bx -c[/tex]

From the complete question, we have the following parameters:

Using the instructions in the complete question, the equation of the production cost would be:

[tex]y = ax^2 + bx -c[/tex]

Hence, the production cost is [tex]y = ax^2 + bx -c[/tex]

Read more about production cost at:

https://brainly.com/question/26620301

Answer:

(0, 1)

Step-by-step explanation:

So with the 2 equations you can either choose which to start with but you need to make the X or Y the opposite from the other equation.
1.
4x + 2y = 2 --> 1( 4x + 2y = 2)
3x - y = -1 --> 2( 6x - 2y = -2)

--

6x + 4x = 10x
2y - 2y = 0 (forced to get rid of)
2 - 2 = 0
Left with:
10x = 0 (Divide both sides by 10 to get X alone)
x = 0

-----------------------------------------------------------
(Choose any ORIGINAL equation)
4x + 2y = 2
4(0) + 2y = 2 (substitute)
Left with:
2y = 2 (divide both sides by 2 to get Y alone)

y = 1
-------------------------------------------------------------
Optional:
Chose the other equation (the oposite from above)
Substitute X and Y in 3x - y = -1

3(0) - (1) = -1
Left with: -1 = -1 (check)


Hope this helps

Answer:

854.93

Step-by-step explanation:

I answered hope it helps

Answer:-

[tex]\boxed{\huge \text{182 feet}}[/tex]

Step-by-step explanation:

Let the height of the next tallest rider be t feet

Since the 260-foot-tall ride is 78 feet taller than the next tallest;

That means t = 260 - 78 = 182 feet



Therefore, the height of the second tallest ride in the park = 182 feet.

[tex]\huge \text{hope this helps! :)}[/tex]

-InLoveWithNature-

Answer:

x = 16°

4x-7 = 57°

3x+4 = 52°

5x-9 = 71°

Step-by-step explanation:

All angles of any triangle add up to 180°, so if we add up each equation and set it equal to 180 we can find x.

4x-7 + 3x+4 + 5x-9 = 180

Simplify by combining like terms.

12x-12 = 180

Then, do inverse operations to find x.

12x=192

x=16

Now that we found x, we can substitute 16 for x in each angle equation in the triangle.

4(16)-7 = 57

3(16)+4 = 52

5(16)-9 = 71

1. What is the theoretical probability that a coin toss results in two heads showing? 0.25

2. What is the experimental probability that a coin toss results in two heads showing? 0.5 x 0.5

3. What is the theoretical probability that a coin toss results in two tails showing?1/2

4.  What is the experimental probability that a coin toss results in two tails showing?1 in 4

5. What is the theoretical probability that a coin toss results in one head and one tail showing? 0.5

6. What is the experimental probability that a coin toss results in one head and one tail showing? .5

7.  Compare the theoretical probabilities to your experimental probabilities. Why might there be a difference? The theoretical is slightly higher than expected

Answer:

[tex] \frac{1}{16} [/tex]

Step-by-step explanation:

[tex] \frac{1}{8} \times \frac{1}{2} \\ = \frac{1}{16} [/tex]

Therefore, the fractional part is

[tex] \frac{1}{16} [/tex]

Answer:

Step-by-step explanation:

Extra's:

Now lets solve:

[tex](p^2 +1)x^2 +2pqx+q^2 = 0[/tex]

[tex](p^2 +1)x^2 +(2pq)x+q^2 = 0[/tex]

using b²-4ac < 0:

[tex](2pq)^2 - 4 * (p^2 +1 )(q^2 ) <0[/tex]

[tex]4p^2 q^2 - 4p^2q^2 -4q^2<0[/tex]

[tex]-4q^2 < 0[/tex]

[tex]\mathrm{No\:Solution\:for}\:p\in \mathbb{R}[/tex]

Answer:

4.75

Step-by-step explanation:

Each pepper or product of pepper costs $4.75

So the unit rate is 4.75/pepper

The unit rate is considered as the slope of the line, or also known as the constant or proportionality. As the Number of peppers increase, the price increases proportionally.

The constant of proportionality is 4.75

-Chetan K

Answer:

6.5 feet

Step-by-step explanation:

V = lwh

Plug-in the numbers given and solve for h

312 = 8(6)h

312 = 48h

312/48 48h/48

h = 6.5 feet

Step-by-step explanation:

Slope = [tex]\frac{rise}{run}[/tex]

          = [tex]\frac{y2 - y1}{x2-x1}[/tex]

If two coordinates be (x1,y-1) and (X2,Y2)

Slope:-

If a line be ax+by+c=0

Slope'-

Answer:

A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.

A rotation means turning around a center.

A reflection is a transformation representing a flip of a figure.

Answer:

See below!

Step-by-step explanation:

Translation: "Sliding": moving a shape without rotating or flipping it.

The shape still looks exactly the same, just in a different place.

Rotation: A circular movement.

Rotation has a central point that stays fixed and everything else moves around that point in a circle.

A "Full Rotation" is 360°

Reflection: Coordinate plane: A point reflected across the x or y axis, or x and y axis.

Coordinate plane, Shapes: A shape that is reflected across the x or y axis, or x and y axis. (Staying at the same coordinates).

Slopes: A slope that is reflected across the x or y, or x and y axis.

Answer:

2013 = 3 x 11 x 61

Step-by-step explanation:

3 x 11 x 61 are all prime. Their sum is 3+11+61 = 75

Answer:

2013 = 3 x 11 x 61

Step-by-step explanation:

Their sum is 3+11+61 = 75

3,11,61 are all prime numbers

hope this helps

Answer:

104.52 sq m

Step-by-step explanation:

The area of the top triangle is 1/2(12 * 8) = 48 sq m

The bottom semicircle is 1/2(pi r-squared) or 1/2(3.14 * 6^2) = 56.52 sq m

Add together and they are 104.52 sq m

Answer:

Step-by-step explanation:

4+[2x3 2nd power] +4 divided by 11

translation

4 + (2×3²) + 4 : 11 =

4 + 18 + 4 : 11 =

4 + 18 + 0.36 =

22.36

Answer:

Total surface area of the tent that is in a shape like a triangular prism

= 255ft²

Step-by-step explanation:

Find the surface area of the triangles.

height = 5ft, base = 5ft

2 Triangles = 5 × 5 ÷ 2 × 2 = 25ft²

Now for the base.

height = 10ft, base = 5ft

base of triangular prism = 10ft × 5ft = 50ft²

And then, the last 2 rectangles.

height = 10ft, base = 9ft

2 Rectangles = 10ft × 9ft × 2 = 180ft²

Lastly, we add all these up.

25ft² + 50ft² + 180ft²

= 255ft²