Four groups of some amount equals 52 in a algebraic equation

Answer:

In order to maximize profit, each widget should sell for $26.70.

Step-by-step explanation:

The total amount of profit y given by the selling price of each widget x is given by:

[tex]y=-15x^2+801x-5900[/tex]

And we want to determine the price of each widget such that is yields the maximum profit.

Since the equation is a quadratic, the maximum profit will occur at the vertex of our parabola.

The vertex of a quadratic is given by:

[tex]\displaystyle \left(-\frac{b}{2a},f\left(-\frac{b}{2a}\right)\right)[/tex]

So, let's find the vertex. In our equation, a = -15, b = 801, and c = -5900.

Therefore, the price that maximizes profit is:

[tex]\displaystyle x=-\frac{801}{2(-15)}=\$26.70[/tex]

Therefore, in order to maximize profit, each widget should sell for $26.70.

Notes:

Then substituting this back into the equation, the maximum profit is:

[tex]y_{\text{max}}=-15(26.7)^2+801(26.7)-5900=\$ 4793.35[/tex]

Answer:

C (95 people)

Step-by-step explanation:

380 is basically like 100% so 380÷100= 3.8 (which is equal to 1%), then use a calculator to do 3.8x25=95 (this makes 25%)

Answer:

C.95

Step-by-step explanation:

25/100=0.25

380*0.25=95

Answer:

a. m<MUC - m<MUP = m<PUC

Step-by-step explanation:

From the options given, the only statement that is true of the figure shown is:

a. m<MUC - m<MUP = m<PUC

Rationale:

m<MUC = m<MUP + m<PUC (Angle Addition Postulate)

Subtract m<MUP from each side

m<MUC - m<MUP = m<PUC

Answer:

x/9

Step-by-step explanation:

x divided by 9

=> x ÷ 9

Take that and turn it into a fraction

=> x/9

hope this helps and is right. p.s. i really need brainliest :)

Answer:

45

Step-by-step explanation:

Any angle that measures less than 90 degrees

Answer:

10

Step-by-step explanation:

Answer:

It should be 0.5 if I’m wrong let me know

Step-by-step explanation:

A=HbB/ 2 = 1x1/2=0.5

Answer:

y = 3/2x + 3/2

Step-by-step explanation:

perpendicular to: y = -2/3x + 5

so slope of new line must be 3/2

y = mx + b

3 = 1(3/2) + b

6/2 = 3/2 + b

b = 3/2

Answer:

c

Step-by-step explanation:

Answer:

C IS THE ANSWER

Answer:

15 miles

Step-by-step explanation:

The Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex] where a and b are the two legs (the sides of the triangle that are adjacent to the right angle) and c is the hypotenuse (the longest side). This only applies to right triangles.

Plug 12 mi and 9 mi into [tex]a^2+b^2=c^2[/tex] as a and b.

[tex]a^2+b^2=c^2\\12^2+9^2=c^2\\144+81=c^2\\225=c^2[/tex]

Take the square root of both sides

[tex]15=c[/tex]

Therefore, the length of the hypotenuse is 15 miles.

I hope this helps!

Answer:

4 × 2 = 8 + 4 = 12 × 2 = 24 - 2 = 22

22 is the FINAL answer

#carryonlearning

Answer:

c = 8.4m is the answer.

Step-by-step explanation:

a = 6m

b = 6m

c = ?

According to the Pythagorean theorem,

a² + b² = c²

6² + 6² = c²

36 + 36 = c²

c² = 72

c = 8.4m

∴ The mouse runs 8.4 m from the opposite corners of the room.

Answer:

8.5 m

Step-by-step explanation:

If you draw the segment from one corner to the opposite corner, you'll have the hypotenuse of a triangle with two legs of 6 m. We can find the length of the hypotenuse using the Pythagorean Theorem.

a^2 + b^2 = c^2

6^2 + 6^2 = c^2

36 + 36 = c^2

c^2 = 72

c = sqrt(72)

c = 6sqrt(2) = 8.5

Answer: 8.5 m

Answer: Angle VUW and QRP are alternate exterior angles.

They are both exterior and are on alternate sides of the transversal.

Hope this helps!

Answer:

YES ITS MEDIAN!!!

Step-by-step explanation:

Answer:

yes you are correct it is the median.

Step-by-step explanation:

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

8y−56z+8

Step-by-step explanation:

Answer:

f(4) = 7

Step-by-step explanation:

The notation for these type of problems is very confusing. Just remember that f(x) is the same thing as y (or some variable). Even if there is a number or something on the inside of the parentheses, it's still just a variable.

In our case

f(a) = 2(a + 4) -9

could be rewritten as

y = 2(a + 4) - 9

the thing on the inside of the parentheses signifies what the equation is dependent on.

so when is says f(4), it just want's you to trade out a for a 4, but the equation is still the same.

f(4) = 2((4) + 4) - 9

Now, just follow the order of operations

f(4) = 2(8) - 9

f(4) = 16 - 9

f(4) = 7

Answer:

Diagonal = 13 yd

Step-by-step explanation:

The diagonal of the 3D shape can be solved using the extension of the pythagorean theorem, which is given as: d² = a² + b² + c²

Where,

a = 12 yd

b = 3 yd

c = 4 yd

d = diagonal

Plug in the values

d² = 12² + 3² + 4²

d² = 169

d = √169

d = 13 yd

Answer:

The loss is $120 and the loss percentage is 8%.

Step-by-step explanation:

Given that,

SP of a car = $1,380

CP of a car = $1,500

As CP > SP, it means there is a loss in selling of that car.

Loss = CP - SP

= $1,500 - $1,380

= $120

Loss percentage,

[tex]\%=\dfrac{loss}{CP}\times 100\\\\=\dfrac{120}{1500}\times 100\\\\=8\%[/tex]

Hence, the loss is $120 and the loss percentage is 8%.

Answer:

A, B, C, and D

Step-by-step explanation:

all answer choices are the same

Answer:

237.5

Step-by-step explanation:

2·(5·7.5+6.5·7.5+6.5·5)=237.5

Answer:

$200, $300, $500

Step-by-step explanation:

Given data

Total Amount= $1000

Ratio=  2:3:5

The combined ratio is = 10

Let us apply the part to all method to find the individual amount

The first person will take

10/1000= 2/x

1/100=2/x

cross multiply

x= 200

The second person will take

10/1000= 3/x

1/100=3/x

cross multiply

x= 300

The third person will take

10/1000= 5/x

1/100=5/x

cross multiply

x= 500

Answer:

58

Step-by-step explanation:

1).2+24+3 = 29

2) 29 x 2 = 58

Answer:

Do 16 times pi.

Step-by-step explanation:

The closest answer is D.

Answer:

8 (option 1)

Step-by-step explanation:

Mark it as option 1 => 8 is the crt answer

2pi r = 16

r = 8

Answer:

c

Step-by-step explanation:

A quadratic trinomial has the form of ax² + bx + c

e.g. 3x² + 4x + 2

A quadratic binomial has the form of ax² + bx

e.g. 3x² + 4x

A cubic binomial has the form : ax³ + bx

3x³ + 4x

Step-by-step explanation:

6^3+6^2=216+36=252

25^2=625

hope that helps :)

Answer:

6^3 + 6^2

Step-by-step explanation:

6^3+6^2=216+36=252

25^2=625

625≠252

Hope this helps =]

Answer:

[tex]\sin L = \frac{3}{5}[/tex]

[tex]\tan N = \frac{4}{3}[/tex]

[tex]\cos L = \frac{4}{5}[/tex]

[tex]\sin N = \frac{4}{5}[/tex]

Step-by-step explanation:

Given

The above triangle

First, we calculate the length LM using Pythagoras theorem.

[tex]LN^2 = LM^2 + MN^2[/tex]

[tex]10^2 = LM^2 + 6^2[/tex]

[tex]100 = LM^2 + 36[/tex]

Collect like terms

[tex]LM^2 = 100 - 36[/tex]

[tex]LM^2 = 64[/tex]

Take positive square root

[tex]LM=8[/tex]

Solving (a): Sin L

[tex]\sin L = \frac{Opposite}{Hypotenuse}[/tex]

[tex]\sin L = \frac{MN}{LN}[/tex]

[tex]\sin L = \frac{6}{10}[/tex]

Simplify

[tex]\sin L = \frac{3}{5}[/tex]

Solving (b): tan N

[tex]\tan N = \frac{Opposite}{Adjacent}[/tex]

[tex]\tan N = \frac{LM}{MN}[/tex]

[tex]\tan N = \frac{8}{6}[/tex]

Simplify

[tex]\tan N = \frac{4}{3}[/tex]

Solving (c): cos L

This calculated as:

[tex]\cos L = \frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos L = \frac{LM}{LN}[/tex]

[tex]\cos L = \frac{8}{10}[/tex]

Simplify

[tex]\cos L = \frac{4}{5}[/tex]

Solving (d): sin N

This is calculated using:

If [tex]a + b = 90[/tex]

Then: [tex]\sin a = \cos b[/tex]

So:

[tex]\sin N = \cos L[/tex]

[tex]\sin N = \frac{4}{5}[/tex]