Three hundred yards of fencing is being used to fence in a rectangular garden. The area of the garden is modeled by a quadratic function of the rectangle’s width, A(w). What does the second coordinate of the vertex of the quadratic function. A(w), represent?

Answer:

x=24 y=9.8

Step-by-step explanation:

5y-23=3x

47+3x+2x+13=180

Answer: 33.33%

Step-by-step explanation:

Number of White sneakers = 8

Number of Black sneakers = 10

Number of Blue sneakers = 10

The percentage of Oscar's sneakers that are black will be:

= Number of black sneakers / Total sneakers × 100

= 10/30 × 100

= 33.33%

Answer: 120

Step-by-step explanation:

From the question, we are informed that there are 10 people in a math club and that three people will be chosen for the Pi Day committee.

The number of different ways that the club members can structure the committee goes thus:

This can be solved by:

nCr = n! / r! (n - r)!

where n = 10

r = 3

= n! / r! (n - r)!

= 10! / 3! (10 - 3)!

= (10 × 9 × 8) / (3 × 2)

=120

Answer:

3.14 as the shortened version. The long version goes on forever, but I'll write some more. 3.14159265358979323846

Step-by-step explanation:

Answer:

Line A

Step-by-step explanation:

AAnswer:

Step-by-step explanation:

80 children x 5 days = 400 total lunches.

£100 / 400 lunches = £0.25 per lunch

The cost for one lunch for one student is £0.25

Answer:

4 <= pen weight <= 10

Step-by-step explanation:

<= , less than or equal to

Answer

In five shifts, the factory could produce 90,000 toy cars.

Step-by-step explanation:

Multiply 18,000 by 5 to get 90,000 cars.

Problem 4

Note the markings at the top indicate that angle y represents half the angle BAC. In other words, we need 2 copies of angle y to make up angle BAC.

So we know that angle BAC = 2y

Due to the fact that triangle ABC is isosceles, we know that base angles B and C are congruent to 47.

Focusing on triangle ABC we have

So,

A+B+C = 180 .... for any triangle, the angles always add to 180

2y+47+47 = 180

2y+94 = 180

2y = 180-94

2y = 86

y = 86/2

y = 43

Turn your attention to triangle ABD.

Here we have

We'll use the same idea as above, that all angles add to 180, to get...

A+B+D = 180

y+47+x = 180

43+47+x = 180

x+90 = 180

x = 180-90

x = 90

===================================================

Problem 5

Let x be the angle formed by the diagonal sides and the horizontal ground. This is considered the base angle because this triangle is isosceles.

We have two base angles x and the third angle up top is 34

x+x+34 = 180

2x+34 = 180

2x = 180-34

2x = 146

x = 146/2

x = 73

Answer:

m∠2 = 47°

Step-by-step explanation:

m∠1 + m∠2 = 90°

3x + 13 + 5x - 3 = 90

8x + 10 = 90 ⇒ x = 10

m∠2 = 47°

Answer: 9.

Step-by-step explanation:  First take 6 and divide it by 2, and then multiply by 3. This gets to the correct answer of 9.

Answer: The answer is 9.

Step-by-step explanation: First I take 6 divided by 2 and then I multiply by 3 to get the correct answer of 9. Or I could show you an equation that looks like this from: 6÷2(1+2) to 3*3=9; therefore, 1 is incorrect answer because it has an order of operations and 9 is the correct answer because it doesn’t have an order of the operations. I hoped this helps you! :D

Answer:

35.60

Step-by-step explanation:

Multiply the original price $89 times the mark down percentage 60%

You get 53.40, then subtract it from 89.

Answer:

She paid $35.60 for the jacket.

Step-by-step explanation:

Answer:

30002.5

Step-by-step explanation:

Answer:

1, - 2

Step-by-step explanation:

Answer:

7x + 11y

Explanation:

1. Subtract 7x from 14x. 2y + 7x + 9y

2. Add 2y and 9y together. 11y + 7x

Answer:

C = 8

Step-by-step explanation:

2/7 = c/28

Multiply to get c by itself

2/7 x 28 = c

Solve

2/7 x 28 = 8

C = 8

The value of c is 8 in the proportion 2/7=c/28.

Two or more expressions with an Equal sign is called as Equation.

The given proportion is  2/7=c/28

Two divided by seven equal to c divided by twenty eight.

We have to find the value of c.

We find the value of c by applying cross multiplication

28×2=7c

56=7c

Divide both sides by 7

56/7=c

Divide numerator and denominator by 7

We get c=8

Hence, the value of c is 8 in the proportion 2/7=c/28.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer:

5:1

Step-by-step explanation:

Since there are 4 counselors, the other 20 people are campers. You divide 20 by 4 (to determine how many campers equal 1 counselor) and you get 5. So 5:1

Answer:

i will try to help you....

Answer:

65 i believe

Step-by-step explanation:

130/2    

= 65

and

65 x 65 = 130

Answer:

??

Step-by-step explanation:

where is the question

Answer:No value

Step-by-step explanation:there are no value solutions that make x a solution

Answer:

19

Step-by-step explanation:

3(x+8)-1=3x+3   3x+24-1=3x+4     3x+23=3x+4       3x+19=3x       -3x+3x=19

x=19

Answer:273.8455

Step-by-step explanation:

i do what i can

Answer:  -5x^3 -13x^2 -6x + 15ix + 39ix + 18i

Step-by-step explanation:

An equation with zeros at these numbers could be put in form x = number.

So, (x-3) could be set to 0 to get x=3.

So, you can look at these "answers" they give you and work backward to get:

(x-3)(x+2/5)(x-3i)

Multiply first two together.

x^2+2/5x-3x-6/5

simplify

x^2 - 2 3/5x -6/5

Change first term to have same denominator by multiplying by "1" in the form of -5/-5

-5x^2/-5 - 13/5x -6/5

Divide all terms by 1/5 (which is the same as multiplying each term by 5)

(-5x^2 -13x -6)

Now multiply by (x-3i)

-5x^3 -13x^2 -6x + 15ix + 39ix + 18i

Answer:

not always

Step-by-step explanation:

above

Answer:

570

Step-by-step explanation:

Area formula: 1/2bh

A: 38 x 30 = 1140

A: 1140 x 1/2 = 570

A: 570

Answer:

570

Step-by-step explanation:

Answer:

the slope for a is [tex]\frac{12}{3}[/tex] but in simplest form 4

the slope for b is 0

Step-by-step explanation:

hope this helped :-)

Answer:

A

Step-by-step explanation:

I think that's da answer I hope it help ya

Answer:

[tex]ST = 10[/tex]

Step-by-step explanation:

Given

[tex]RT =4x[/tex]

[tex]ST = 5x - 10[/tex]

[tex]RS = 6[/tex]

Required

Determine ST

Since S is on RT, we have that:

[tex]RT = RS + ST[/tex]

[tex]4x = 5x - 10 + 6[/tex]

[tex]4x = 5x - 4[/tex]

[tex]4x - 5x= - 4[/tex]

[tex]-x= - 4[/tex]

[tex]x= 4[/tex]

Substitute 4 for x in [tex]ST = 5x - 10[/tex]

[tex]ST = 5 * 4 - 10[/tex]

[tex]ST = 20 - 10[/tex]

[tex]ST = 10[/tex]

Answer: It Equals 8

Step-by-step explanation:

Point S is on line segment \overline{RT}

RT

. Given ST=5x-7,ST=5x−7, RT=4x+9,RT=4x+9, and RS=2x+7,RS=2x+7, determine the numerical length of \overline{ST}.

ST

.

\text{Label known information:}

Label known information:

R

S

T

2x + 7

5x – 7

RT = 4x + 9

RS+ST=

RT

Segment addition postulate

\color{darkgreen}{2x+7}+\color{darkblue}{5x-7}=

2x+7+5x−7=

\,\,\color{darkred}{4x+9}

4x+9

Substitute expressions

7x=

7x=

\,\,4x+9

4x+9

Combine like terms

-4x\phantom{=}

−4x=

\,\,-4x

−4x

3x=

3x=

\,\,9

9

\frac{3x}{3}=

3

3x

​

=

\,\,\frac{9}{3}

3

9

​

Divide by 33

x=

x=

\,\,\color{darkgreen}{3}

3

\text{Plug in value of }x\text{ to find }ST\text{:}

Plug in value of x to find ST:

ST=5x-7=5\left(\color{darkgreen}{3}\right)-7=8

ST=5x−7=5(3)−7=8

\text{You can plug }x\text{ into each expression:}

You can plug x into each expression:

Optional to check work

R

S

T

2(3) + 7

5(3) – 7

RT = 4(3) + 9

\text{Simplify:}

Simplify:

R

S

T

13

8

RT = 21

\text{Final Answer:}

Final Answer:

ST=\color{green}{\mathbf{8}}

ST=8