Which property of equality would you use -to solve the equation math8n=16

Answer:

The widgets should be sold for $26.7 for the company to make the maximum profit.

Step-by-step explanation:

Given the quadratic equation

[tex]f\left(x\right)=-15x^2+801x-59000[/tex]

As the leading coefficient is (-3), so the graph would be a downward Parabola.

Thus, the maximum profit would be at the vertex.

The selling price 'x' can be determined by determining the x-coordinate of the vertex.

In order to calculate the x-coordinate of the vertex, we can find this by

x = -b/2a

where a = -15 and b = 801

x = -801 / 2(-15)

x = -801/-30

x = 801/30

x = 267/10

x = 26.7

Therefore, the widgets should be sold for $26.7 for the company to make the maximum profit.

Answer:

3 dollars

Step-by-step explanation:

5 cans= 15 dollars

1 can = 15/5= 3

3 dollars

Answer:

x=23.5

Step-by-step explanation:

[tex]cos59.3=\frac{12}{x}\\x(cos59.3)=12\\x=\frac{12}{cos59.3}\\x=23.5[/tex]

Answer:

The correct answer is 10n ≥ 470.

Step-by-step explanation:

Since, the school club wants to collect at least 500 canned goods, then we know that they don't want to collect any less: they must collet 500 or more canned goods.

They already collected 30 canned goods, therefore we can subtract this quantity from out goal.

500 - 30 = 470

Since there are 10 club members, the number of members multiplied by "n" the minimum amount of canned goods that they can collect, will equal the total amount of canned goods that they need.

Hope this helps! :D

Answer:

for the first one the answer is .50 . for the second one you put for every .50 there is 3.50 and for number 3 for 7 is 49

Answer: the answer is 13.6 units

Step-by-step explanation:

Answer:

C. 13.6 units

Step-by-step explanation:

i took the quiz on edge

Step-by-step explanation:

y = -5x² + 2x - 3 and y = -3x - 3.

=> -5x² + 2x - 3 = -3x - 3

=> 5x² - 5x = 0

=> 5x(x - 1) = 0

=> x = 0 or x = 1.

When x = 0, y = -3(0) - 3 = -3.

When x = 1, y = -3(1) - 3 = -6.

The solutions are (0,-3) and (1,-6).

Answer:

multiply by 1.81

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

We can see there are 2 parts of this function: one line for x<1 (because there is a circle for x=1, meaning it disincludes it) and one line for x >= 1 (because there is a filled circle for x=1, meaning it includes it). Therefore, we can disregard choice B (because it has x <= 1 and x > 1 instead of x<1 and x>= 1).

Notice that the part that x<1 passes through the origin, meaning the y-intercept is 0. In y= mx + b form of a line, b is the y-intercept, so b = 0 and we are looking for something in the form of y = mx for x < 1. Wee see that only in choice A that this is satisfied. Therefore, the answer is A.

I hope this helps! :)

Answer:

Step-by-step explanation:

Answer:

-4x^2 - 8......input (x) = 2

Step-by-step explanation:

-4(2^2) - 8 =

-4(4) - 8 =

-16 - 8 =

- 24 <==

i hope this helps you :)

Answer:

y= -1/3x-4

y=2x+2

Step-by-step explanation:

the slope is rise over run

Answer:

the value in the five years is  £2,621.44

Step-by-step explanation:

The computation of the value in the five years is given below:

= The value of the second car × (1 - losses percentage)^number of years

= £8,000 × (1 - 0.20)^5

= £8,000 × 0.80^5

= £8,000 ×  0.32768

=  £2,621.44

Hence, the value in the five years is  £2,621.44

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Discount amount = price x discount percentage as a decimal:

Discount amount = 62.00 x 0.15 = 9.30

Discount = $9.30

Answer:

$52.70

Step-by-step explanation:

Answer:

complementary means that their measures add up to 90 degrees. since they're also congruent, they have to be the same measure.

90/2= 45 degrees which is your answer

Step-by-step explanation:

I hope this helps :)

Answer:

45 degrees

Step-by-step explanation:

i just took the test on edge

Answer:

67 feet

Step-by-step explanation:

Step one:

given

The area of a rectangular warehouse measures 4,288 square feet

The width of the warehouse is 64 feet long.

Required:

the length of the warehouse

Step two:

The expression for the area of a rectangle is

A= L*W

so, for the situation

4,288= L*64

solve for L

divide both sides by 64

L= 4,288/64

L=67 feet

Answer:

sin A= 3/5

sin C= 4/5

cos A= 4/5

cos C= 3/5

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

64

Step-by-step explanation:

v = s^3

v = (4)^3 [4x4x4]

v = 64

Answer:

m = 3

Step-by-step explanation:

Pick two points from the table.

(-1, 1) and (1, 7)

Apply the slope formula.

[tex]m=\frac{7-1}{1+1}=\frac{6}{2}=\boxed{3}[/tex]

Hope this helps.

Given:

Hyperbola with directrices at y = ±2 and foci at (0, 6) and (0, −6).

To find:

The equation of hyperbola.

Solution:

We have, directrices at y = ±2 so this hyparabola is along the y-axis.

The standard form of hyperbola is

[tex]\dfrac{(y-k)^2}{a^2}-\dfrac{(x-h)^2}{b^2}=1[/tex]      ...(i)

where, (h,k) is center, foci are [tex](h,k\pm c)[/tex] and directrix are [tex]y=k\pm \dfrac{a^2}{c}[/tex].

On comparing foci, we get

[tex](h,k\pm c)=(0,\pm 6)[/tex]

[tex]h=0,k=0,c=6[/tex]

On comparing directrix we get

[tex]k\pm \dfrac{a^2}{c}=\pm 2[/tex]

[tex]\dfrac{a^2}{c}=2[/tex]

[tex]\dfrac{a^2}{6}=2[/tex]

[tex]a^2=12[/tex]

Now,

[tex]a^2+b^2=c^2[/tex]

[tex]12+b^2=(6)^2[/tex]

[tex]b^2=36-12[/tex]

[tex]b^2=24[/tex]

Putting [tex]h=0,k=0,a^2=12,b^2=24[/tex], we get

[tex]\dfrac{(y-0)^2}{12}-\dfrac{(x-0)^2}{24}=1[/tex]

[tex]\dfrac{y^2}{12}-\dfrac{x^2}{24}=1[/tex]

Therefore, the equation of hyperbola is [tex]\dfrac{y^2}{12}-\dfrac{x^2}{24}=1[/tex].

Answer:

the person above has the right answer. I took the test.

Step-by-step explanation:

The person above is correct.

Answer:

2/5

Step-by-step explanation:

2/10+2/10=4/10

4/10 divided by 2/2= 2/5

Hope this helps!

Answer;

2/10 + 2/10 is 4/10 and then simplified it would be 2/5 because 2 goes into both 4 and 10.

2/10 + 2/10 = 4/10

4/10 = 2/5

Hope this Helps!

Answer:

Step-by-step explanation:

2) They distributed an x out of the term with out one.  that is the 8

so the expression should be  5x +8

3) They didn't follow order of operations and took 2 away from the 7 before they distributed the 7  :O  very bad of them

the expression should be  7x + 54

4) They distributed out the y but didn't leave a 1 so the problem lost a term.

the expression should be -6x + 7y

Answer:

10.

Step-by-step explanation:

6+1/3*12=6+4=10

Answer: 10

Step-by-step explanation:

Answer: $14.40

Step-by-step explanation:

Answer: choices for the number in hundreds place =  7 , 8, 9,0

Step-by-step explanation:

Given: Dinesh wrote a number greater than 4699 and less than 5100.

Numbers greater than 4699 = 4700, 4701,.....

Numbers less than 5100 = 5099, 5098 , .....

From 4700 to 5099 , the possible values for hundreds place = 7 , 8, 9,0

So, the choices for the number in hundreds place =  7 , 8, 9,0

Answer:9

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

Multiples of 6:

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84

Multiples of 8:

8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88

Multiples of 9:

9, 18, 27, 36, 45, 54, 63, 72, 81, 90

Therefore,

LCM(6, 8, 9) = 72

Answer:

Step-by-step explanation:

A right angle is an angle whose measure is equal to [tex]90^{o}[/tex]. As the measure of two right angles equals angle on a straight line, while four right angles equal the sum of angles at a point.

Given: <ABC, <DEF are right angles.

The missing reasons in the steps of the proof are:

A: m<ABC = [tex]90^{o}[/tex] and m<DEF = [tex]90^{o}[/tex] (Meaning of a right angle)

B: m<ABC = m<DEF (By right angle property)

C: <ABC ≅ <DEF (Congruence property of angles)

Answer:

A: definition of right angle

B: substitution property

C: definition of congruent angles

Step-by-step explanation:

Question

Juan deposited $2,250 in the bank to celebrate the birth of his son. After three years, he received his statement and the bank said he had $2,587.50 in the account.

How much interest did Juan earn in three years?

How much interest did Juan earn per year?

What was the interest rate?

Answer: GOOD LUCK

337 and 112.33

Answer:

337 and 112.33

Step-by-step explanation:

First answer is 337 u take the difference between the 2 numbers. And the interest is 112.33 per year u divide the interest by 3. I hope this helps.

Answer:

Harry has a score of 30

Step-by-step explanation:

Let us represent their scores as:

Nathan = x

Harry = y

Jack = z

At the end of a football season a coach is adding up everyone's scores

Nathan has scored 11 more than harry

x = y + 11

Harry has scored 10 more then jack.

y = z + 10

z = y - 10

If the total of their scores is 91

x + y+ z = 91

y + 11 + y + y - 10 = 91

3y + 1 = 91

3y = 91 - 1

3y = 90

y = 90/3

y = 30

Since Harry's score is represented as y, Harry has a score of 30

Answer:

Step-by-step explanation:

because we have a kite,

AB=AD

4x=x+15

4x-x=15

3x=15

x=5