so far 400 seats have been set up for a concert in the park. Space allows for 20 more rows of seats, with x seats in each row. Park rules say there must be fewer than 1000 people attending the concert.

what is the solution of this inequality, and what is its meaning?

Answer:

(8 ∙ 4) - One-half (10 + 12 + 16)  

Step-by-step explanation:

Based on the coordinate plane, a mathematical expression which can be used to find the area of triangle RST is: A. [(8 × 4) - 1/2 × (10 + 12 + 16)].

A triangle can be defined as a two-dimensional geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.

Mathematically, the area of the triangle is given by the formula:

[tex]Area = \frac{1}{2}\times base \times height[/tex]

In this scenario, the mathematical expressions that would be used to find the area of triangle RST with points (-5, 6), (3, 4) and (-2, 2) are given by:

Area of rectangle = LW = 8 × 4

Area of triangle 1 = 1/2 × (2 × 5) = 1/2 × 10

Area of triangle 2 = 1/2 × (3 × 4) = 1/2 × 12

Area of triangle 3 = 1/2 × (2 × 8) = 1/2 × 16

The area of triangle RST = [(Area of rectangle) - 1/2 × (Area of triangle 1 + Area of triangle 2 + Area of triangle 3)].

Substituting the parameters into the formula, we have;

The area of triangle RST = [(8 × 4) - 1/2 × (10 + 12 + 16)]

Read more on area of triangle here: brainly.com/question/21917592

Answer:

it is right bro x+ 2 .......mark me brainiest please

Answer:

A: [tex]f(x)=(4x+5)(x-3)[/tex]

B: [tex](-\frac{5}{4} , 0)[/tex] and [tex](3, 0)[/tex]

C: They are parallel, which means they have no endpoint.

Answer:

D.$315

Step-by-step explanation:

$450=100%

100%-20%-10%=70%

$450×70%=$450×70/100

=$315

Answer:

The answer is D.

Answer:

B

Step-by-step explanation:

They are alternate interior angles so that means they are equal

4x - 30 = 2x

2x = 30

x = 15

Answer:

[tex](x-4)^2+(y+7)^2=43[/tex]

Step-by-step explanation:

The standard equation of a circle is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h, k) is the center and r is the radius.

We are given that the center is (4, -7) and that the radius is √(43).

So, h = 4, k = -7, and r = √(43). Substitute:

[tex](x-(4))^2+(y-(-7))^2=(\sqrt{43})^2[/tex]

Simplify. Hence, our equation is:

[tex](x-4)^2+(y+7)^2=43[/tex]

Answer:

Step-by-step explanation:

43 + 24 + 57 + x = 180 degree (being sum of interior angles of a triangle)

124 + x = 180

x = 180 - 124

x = 56 degree

in small triangle

57 + 24 + z = 180 degree (sum of interior angles of a triangle )

81 + z = 180

z = 180 - 81

z = 99 degree

in big triangle

x + 43 + y = 180 degree (sum of interior angles of a triangle )

56 + 43 + y = 180

99 + y =180

y = 180 - 99

y = 81 degree

The value of x= 56°

Hope it helps you...

Answer:

A

Step-by-step explanation:

A prime number only has 2 factors, that is

1 and the number itself

factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

factors of 22 are 1, 2, 11, 22

factors of 33 are 1, 3, 11, 33

factors of 37 are 1, 37

Therefore 37 is a prime number

Answer:

D

Step-by-step explanation:

2*3^2

2*9

18

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {D. \:18}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]2 \: ( \: {4 - 1} \: )^{2} [/tex]

[tex] = 2\: (\: {3} \: )^{2} [/tex]

[tex] = 2 \: ( \: 3 \times 3 \: )[/tex]

[tex] = 2 \times 9[/tex]

[tex] = 18[/tex]

[tex]\sf\pink{PEMDAS\: rule.}[/tex]

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Answer:

450 jumping jacks

Step-by-step explanation:

f(10) = 45 (10)

45 * 10 is just 450 :)

Answer:

450.

Step-by-step explanation:

f(10) = 45 * 10 = 450 jumping jacks.

Answer:

i think the answer is Options B, C and E holds.

Step-by-step explanation:

this makes options B and C a choice:

Given the expression: 12x+18xy-24y

Factors of 12x=1,2,3,4,6,12 and x

Factors of 18xy=1,2,3,6,9,18,x and y.

Factors of 24y=1,2,3,4,6,8,12,24 and y.

next for E this is why its a choice:

12x+18xy-24y=6(2x+3xy-4y)

Answer:

bce

Step-by-step explanation:

Answer:

a = 120 cm²

Step-by-step explanation:

n = number of sides

edge length

40/n

divide the polygon into n congruent triangles

a = (1/2)(edge * apothem) * number of triangles

a = (1/2)(40/n)(6) * n

n cancels out

a = (1/2)(40)(6)

a = 120 cm²

Answer and explanation:

To construct a circle, draw a line that represents the diameter of the circle. Bisect the line so that it is a perpendicular bisector of the diameter of the circle. Place your compass at the bisection point/midpoint and draw an arc or better still the whole circle.

Theorem: the perpendicular bisector of a chord passes through the center of a circle.

Note: a diameter of a circle is a chord that passes through the center of a circle.

[tex]\longrightarrow{\green{A.\:2 \: ( x + 3)(x + 3) }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]2 {x}^{2} + 12x + 18[/tex]

Taking 2 as common factor, we have

[tex] = 2 \: ( {x}^{2} + 6x + 9) \\ = 2 \: ( {x}^{2} + 3x + 3x + 9)[/tex]

Next, we take [tex]x[/tex] as common from first two terms and 3 from last two terms,

[tex] = 2 \: [x(x + 3) + 3(x + 3)][/tex]

Taking the factor [tex](x+3)[/tex] as common,

[tex] = 2 \: ( x + 3)(x + 3)[/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]

Answer:

15.25%

Step-by-step explanation:

The actual amount in a 12-ounce container of a certain brand of orange juice is normally distributed with mean μ = 12.34 ounces and standard deviation σ = 0.04 ounce. What percentage of the juice bottles contain between 12.24 and 12.30 ounces of orange juice?

We solve using the z score formula

z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean = μ = 12.34 ounces

σ is the population standard deviation = σ = 0.04 ounce

For x = 12.24

z = 12.24 - 12.34/0.04

z = -2.5

Probability value from Z-Table:

P(x = 12.24) = 0.0062097

For x = 12.30

z= 12.30 - 12.34/0.04

z = -1

Probability value from Z-Table:

P(x = 12.30) = 0.15866

Hence, the probability of the juice bottles contain between 12.24 and 12.30 ounces of orange juice

P(x = 12.30) - P(x = 12.24)

= 0.15866 - 0.0062097

= 0.1524503

Therefore, the percentage of the juice bottles contain between 12.24 and 12.30 ounces of orange juice is calculated as:

= 0.1524503 × 100

= 15.24503%

= 15.25%

Answer:

Perimeter=32

Step-by-step explanation:

Perimeter=Sum of all sides

=8+2+2(on opposite side) +3+3+6+6(on opposite side) +(8-(3+3)) [The bottom side] =32

Answer:

Step-by-step explanation:

[tex]y =\frac{x+2}{x-4}\\\\y*(x-4)=x+2\\\\yx-4y = x+ 2\\\\yx-4y-x = 2\\\\yx -x = 2 +4y\\\\x(y-1)=2+4y\\\\x=\frac{2+4y}{y-1}[/tex]

Answer:

x = [tex]\frac{2+4y}{y-1}[/tex]

Step-by-step explanation:

Given

y = [tex]\frac{x+2}{x-4}[/tex] ( multiply both sides by x - 4 )

y(x - 4) = x + 2 ← distribute parenthesis on left side

xy - 4y = x + 2 ( add 4y to both sides )

xy = x + 2 + 4y ( subtract x from both sides )

xy - x = 2 + 4y ← factor out x from each term on the left side

x(y - 1) = 2 + 4y ( divide both sides by y - 1 )

x = [tex]\frac{2+4y}{y-1}[/tex]

Answer:

4 cents

Step-by-step explanation:

4.48 divided by 112 = 0.04

Answer:

Step-by-step explanation:

when it touch the ground,y=0

-16x²+232x+134=0

-16(x²-29/2 x+(-29/4)²-(-29/4)²)=-134

-16(x-29/4)²-16(-861/16)=-134

-16(x-29/4)²+861=-134

-16(x-29/4)²=-134-861

(x-29/4)²=-995/-16=995/16

x-29/4=±√995/4

rejecting negative sign

x=29/4+√995/4=(29+√995)/4≈15.14 second

Answer: I think D IM GUESSING

Step-by-step explanation:

I think D cuz It has McDonald's in it and I'm lovin' it... Jk

Answer:

The answer is D

Step-by-step explanation:

[tex]\longrightarrow{\green{- 9 {x}^{2} + 14x + 16}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \sqrt{49} + [ \sqrt{81} - x \: (9x - 14) ] \\ \\ = \sqrt{7 \times 7} + [ \sqrt{9 \times 9} - 9 {x}^{2} + 14x] \\ \\ = \sqrt{( {7})^{2} } + [ \sqrt{ ({9})^{2} } - 9 {x}^{2} + 14x ] \\ \\ (∵ \sqrt{ ({x})^{2} } = x ) \\ \\ = 7 + (9 - 9 {x}^{2} + 14x) \\ \\ = 7 + 9 - 9 {x}^{2} + 14x \\ \\ = - 9 {x}^{2} + 14x + 16[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

Answer:

y -4 = 1/6(x-24)

y = 1/6x -2

Step-by-step explanation:

We can point slope form

y-y1 = m(x-x1)  where m is the slope and (x1,y1) is a point on the line

y -4 = 1/6(x-24)

Or we can write slope intercept form

y = mx+b where m is the slope and b is the y intercept

Substituting the points

4 = 1/6(24)+b

4 = 6+b

4-6 = b

-2 =b

y = 1/6x -2

Answer:

[tex]y = mx + c \\ 4 = (\frac{1}{6} \times 24) + c \\ 4 = 4 + c \\ c = 0 \\ y = \frac{1}{6} x[/tex]

Answer:

The answer is the third one, x - 7 < 4

Step-by-step explanation:

It only has one x intercept

Step-by-step explanation: when you graph it there is only one point where the line meets the x intercept

Answer:

A. The tree provides shelter for the ants, and the ants help the tree to stay alive

Answer:

0.06

Step-by-step explanation:

Given data:

[tex]1.8(10^{5})[/tex] divided by 3×[tex]10^{6}[/tex]

Now,

[tex]\frac{(1.8)10^{5} }{3(10^{6}) } \\=0.6(10^{5-6} )\\=0.6(10^{-1} )\\=0.06[/tex]

Answer will be 0.06

The correct standard form is 0.06.

1.8 x 10⁵ divided by 3 x 10⁶

(10)ᵃ × (10)ᵇ = (10)ᵃ⁺ᵇ

(10)ᵃ ÷ (10)ᵇ = (10)ᵃ⁻ᵇ

(1.8 x 10⁵)/3 x 10^6 = 6 x 10⁻²

6/10²  = 0.06

Therefore, the standard form is 0.06.

Learn more about divide here:

https://brainly.com/question/29431018

#SPJ6

Answer:

Step-by-step explanation:

Use the words in the problem to write the equation you need to solve it. The word "of" means to multiply, the word "is" means "equals", and we always put a percentage in the form of a decimal when we use it in an equation.

Our equation would look like

.20y = 40 so

y = 200

Answer:

Option 4

Step-by-step explanation:

2x² + 32 = 0

2x² = -32

x² = -16

sqrt(-16) got no real solution. (no real number multiplied by itself will be negative)