A new cars salesperson, sold an average of $59,699 per day for the first 4 days she worked. The next 11 days she worked, she sold an average of $49,221. How much did she sell on average per day over the entire time she worked??

[tex] = \frac{(1 + \sqrt{5}) }{(3 + \sqrt{5}) } \\ [/tex]

[tex] = \frac{(1 + \sqrt{5}) }{(3 + \sqrt{5} )} \times \frac{(3 - \sqrt{5} )}{(3 - \sqrt{5}) } \\ [/tex]

[tex] = \frac{1(3 - \sqrt{5}) + \sqrt{5} (3 - \sqrt{5} )}{ ({3})^{2} - { (\sqrt{5} })^{2} } \: \: [∵ {a}^{2} - {b}^{2} = (a + b)(a - b) ]\\ [/tex]

[tex] = \frac{3 - \sqrt{5} + 3 \sqrt{5} - 5 }{9 - 5} \\ [/tex]

[tex] = \frac{ - 2 + 2 \sqrt{5} }{4} \\ [/tex]

[tex] = \frac{2( - 1 + \sqrt{5} )}{4} \\ [/tex]

[tex] = \frac{ - 1 + \sqrt{5} }{2} \\ [/tex]

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

Answer:

12 ÷ 3.60 = 3.33¢

Step-by-step explanation:

$3.33 per ounce

Answer:

y = x - 9 + 3 +3.

Step-by-step explanation:

.

Answer:

17

Step-by-step explanation:

these positive integers are :

4, 64, 124, 184 ... , 964

964 = 4 + (n-1) (60)

964 = 4 + 60n -60

964 = 60n -56

60n = 1020

n = 1020/60

n = 17

so, the number of special integers smaller than 1000 are = 17

Answer:

Step-by-step explanation:

The general equation for a parabola is y=4(x^2). The given eqn is y=x^2.

The equation resembles a parabola.

So clearly the answer is either B or C.

Now substitute some values. The value of y can't be negative because x^2 will always be positive.

The answer is B.

Answer:

m<WYX = 31°; m<WYZ = 59°

The measure of the angle ∠WYX and ∠WYZ will be 31° and 59°.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

m∠WYX = (2x − 7)° and m∠WYZ = (3x + 2)°.

If ∠WYX and ∠WYZ are complementary, then the sum of the angles ∠WYX and ∠WYZ will be 90°.

Then the equation will be

∠WYX + ∠WYZ = 90°

2x - 7 + 3x + 2 = 90

             5x - 5 = 90

             5x = 90 + 5

             5x = 95

               x = 95 / 5

               x = 19

Then the measure of the angle ∠WYX will be

∠WYX = (2x − 7)°

∠WYX = (2 × 19 − 7)°

∠WYX = (38 − 7)°

∠WYX = 31°

Then the measure of the angle ∠WYZ will be

∠WYZ = (3x + 2)°

∠WYZ = (3 × 19 + 2)°

∠WYZ = (57 + 2)°

∠WYZ = 59°

The measure of the angle ∠WYX and ∠WYZ will be 31° and 59°.

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Answer:

(0, 1 ) and ([tex]\frac{1}{2}[/tex], [tex]\frac{1}{2}[/tex] )

Step-by-step explanation:

Given the 2 equations

x³ - xy = 0 → (1)

x + y = 1  → (2) ( subtract x from both sides )

y = 1 - x → (3)

Substitute y = 1 - x into (1)

x² - x(1 - x) = 0

x² - x + x² = 0

2x² - x = 0 ← factor out x from each term on the left side

x(2x - 1) = 0

Equate each factor to zero and solve for x

x = 0

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]

Substitute these values into (3) for corresponding values of y

x = 0 : y = 1 - 0 = 1 ⇒ (0, 1 )

x = [tex]\frac{1}{2}[/tex] : y = 1 - [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{2}[/tex] ⇒ ( [tex]\frac{1}{2}[/tex], [tex]\frac{1}{2}[/tex] )

Answer:-1

Step-by-step explanation:

Answer:

2 and 8

Step-by-step explanation:

let the numbers be x and y , then

[tex]\frac{x+y}{2}[/tex] = 5 ( multiply both sides by 2 ) ← AM

x + y = 10 → (1)

[tex]\sqrt{xy}[/tex] = 4 ( square both sides ) ← GM

xy = 16 → (2)

From (1) , expressing x in terms of y

x = 10 - y ← substitute into (2)

(10 - y)y = 16

10y - y² = 16 ( subtract 16 from both sides )

10y - y² - 16 = 0 ( multiply through by - 1 )

y² - 10y + 16 = 0 ← in standard form

(y - 2)(y - 8) = 0 ← in factored form

Equate each factor to zero and solve for y

y - 2 = 0 ⇒ y = 2

y - 8 = 0 ⇒ y = 8

Substitute into (1)

x + 2 = 10 ⇒ x = 8 or x + 8 = 10 ⇒ x = 2

The 2 numbers are 2 and 8

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

Explanation:

If you used scissors to cut a vertical slice down the lampshade, then it can be unrolled to form a rectangle.

The horizontal portion of this rectangle is the distance around the circle, which is the perimeter of the circle, or the circumference. That's C = 2pi*r. Check out the diagram below to see what I mean.

The diagram shows that the diameter is 20 cm, so the radius is half that at 20/2 = 10 cm.

The circumference is C = 2*pi*r = 2*pi*10 = 20pi cm exactly

The height of the rectangle is the height of the cylinder, which is h = 30 as shown in the diagram.

The area of the rectangle is length*height = (20pi)*(30) = 600pi square cm exactly.

If we were to use something like pi = 3.14, then its approximate area is 600*pi = 600*3.14 = 1884 square cm

Let's bump this up by 10%. To do so, we'll multiply by 1.10

1.10*1884 = 2072.4

Answer: Self Guidance. A slope of -3/4 and a y intercept doesn't look like any of them

Step-by-step explanation:

A slope of -3/4 and a y-intercept of 3/2 looks like this. After, maybe you can try it on your own. Hope this helps

Answer:

4

......................

Answer:

the decimal expansion of an irrational number will be non terminating and non recurring

Answer:

i angle EFB

ii BFC and AFC

Step-by-step explanation:

Answer:

i .angle AFC

iiAFC and AFB

Answer:

probability

Step-by-step explanation:

do some division to calculate the probality of landing on a blue 1/3 and add up the numbers.

Answer:

m = -18

Step-by-step explanation:

6 + m/2 = -3

Subtract 6 from each side

6 + m/2 -6 = -3-6

m/2 = -9

Multiply each side by 2

m/2 * 2 = -9*2

m = -18

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{6+ \dfrac{m}{2}=-3}}}\\\huge\boxed{\rightarrow\mathsf{6 + \dfrac{1}{2}m = -3}}[/tex]

[tex]\huge\boxed{\rightarrow \mathsf{\dfrac{1}{2}m+ 6 = -3}}\\\\\huge\boxed{\text{SUBTRACT 6 to BOTH SIDES}}\\\huge\boxed{\mathsf{\dfrac{1}{2}m + 6 - 6 = -3 + 3}}[/tex]

[tex]\huge\boxed{\mathsf{\dfrac{1}{2}m = -9}}[/tex]

[tex]\huge\boxed{\text{MULTIPLY 2 to BOTH SIDES}}[/tex]

[tex]\huge\boxed{\mathsf{\dfrac{1}{2}m \times 2 = 2 \times -9}}[/tex]

[tex]\huge\boxed{\mathsf{m = 2\times-9}}\\\huge\boxed{\mathsf{2\times-9 = m}}\\\huge\boxed{\mathsf{2\times-9 = \bf -18}}\\\\\huge\boxed{\textsf{Therefore, your answer: \bf -18}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Answer:

the answer is in picture

Answer:

x=5/2y+4

Step-by-step explanation:

Answer:

There’s not

Step-by-step explanation:

It’s 618

Answer: $ 927

Step-by-step explanation:

20% is deducted from his check.

20/100 = x/4635 (cross multiplication)

= $927

The deducted amount for each month will be $77.25.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Fred's health insurance premium is $4635 annually.

And, His employer pays 80% and he is paid monthly.

Now,

Since, His employer pays 80% and he is paid monthly.

Hence, The percent of deducted salary = 20%

So, The deducted amount of each month = 20% of $4,635 / 12

                                                                = 20/100 × 4635 / 12

                                                                = $927 / 12

                                                                = $77.25

Thus, The deducted amount of each month = $77.25

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Answer: x= 26

Step-by-step explanation:

27+x+127 = 180(being linear pair)

or, x + 154 = 180

or, x = 180-154

so, x = 26

Answer:

26

Step-by-step explanation:

Here,

27+ 127+ x =180

154+ x = 180

x =180-154

x=26

hope it is helpful

Answer:

5

Step-by-step explanation:

This trick works with 3:

If the sum of the digits of a number is divisble by 3 then the number is divisble by 3.

44 is not divisble by 3 because 4+4=8 is not divisble by 3.

45 is divisble by 3 because 4+5=9 is divisble by 3.

46 is not divisble by 3 because 4+6=10 is not divisble by 3.

47 is not divisble by 3 because 4+7=11 is not divisble by 3.

54 is divisble by 3 because 5+4=9 is divisble by 3.

55 is not divisble by 3 because 5+5=10 is not divisble by 3.

56 is not divisble by 3 because 5+6=11 is not divisble by 3.

57 is divisble by 3 because 5+7=12 is divisble by 3.

64, 65,67 are not divisble by 3 because their digits' sums are 10,11, and 13 respectively. 66 is a winner because 6+6=12 is divisble by 3.

Finally 7...

74,76,77 are not divisble by 3 because their digits' sums are 11,13, and 14 respectively. 75 is divisble by 3 because 7+5=12 is divisble by 3.

The victors are

45

54

57

66

75

[tex]\boxed{\sf a(b+c)=ab+ac}[/tex]

[tex]\\ \sf\longmapsto 6(x+y)[/tex]

[tex]\\ \sf\longmapsto 6(x)+6(y)[/tex]

[tex]\\ \sf\longmapsto 6x+6y[/tex]

Answer:

the answer is b

Step-by-step explanation:

i did this alrdy

Answer:

x - 9

Step-by-step explanation:

Answer:

bguiyhvulcvougtjglctvtgulvugtfvufygbgl

Step-by-step explanation:

Answer:

This is a simple interest, as the amount earned each year is constant

Step-by-step explanation:

Using compound interest, it is found that the constant percent rate of change is of 4%.

--------------------

The formula for an amount of money invested into compound interest is given by:

[tex]A(t) = A(0)(1+r)^t[/tex]

In which:

--------------------

The function is:

[tex]g(x) = 300(1.04)^x[/tex]

Thus, for the constant percent rate of change:

[tex]1 + r = 1.04[/tex]

[tex]r = 1.04 - 1 = 0.04[/tex]

[tex]0.04 \times 100\% = 4\%[/tex]

The constant percent rate of change is of 4%.

A similar problem is given at https://brainly.com/question/3044643

Answer:

x=7

Step-by-step explanation:

55=2x+(x+4)+[3(x+3)]

55=2x+x+4+3x+9

55=6x+13

55-13=6x

42=6x

7=x

Answer:

Step-by-step explanation:

Perimeter is the sum of side lengths:

Solve for x:

Hey there! I'm happy to help!

First of all, I would guide you to decipher clue 2 first. It is the only one that has just one shape, so then we can find the value of that shape.

To find what this circle is, we just divide 12 by three to see what 3 times the circle is!

12÷3=4

CIRCLE=4

-----------------------------------------------------------------

Now, let's look at clue one. This one only has two shapes, and it has the circle, which we already know.

We know that our circle is 4, so 5 circles will be 20.

This means that the diamond plus two will be 20, so let's just subtract 2 from 20!

20-2=18

DIAMOND=18

-----------------------------------------------------------------

Finally, let's look at the third one. This one is the trickiest. Two circles is eight, and that is going to be equal to our diamond (eighteen) and two triangles.

How is that going to work?

The triangles make us go backwards! Otherwise known as negative numbers!

To get from eighteen to eight, we have to go back ten. Ten is going to be made up of two triangles, so we just divide ten by two so each triangle gets an equal amount.

10÷2=5

TRIANGLE=5

-----------------------------------------------------------------

Have a wonderful day and keep on learning! :D

An equation is formed of two equal expressions. The value of the Circle, Diamond, and the triangle is 4, 18, and -5, respectively.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the circle be represented by C, the diamond be represented by D, and the triangle be represented by T.

Now, the clues can be rewritten as,

D + 2 = 5(C)

3(C) = 12

2(C) = D + 2(T)

Since the second clue has only one variable C, let's solve it first,

3(C) = 12

C = 12 / 3

C = 4

Further, the first clue has two variables C and D, and the value of C is already known, therefore, solve it second.

D + 2 = 5(C)

D + 2 = 5(4)

D + 2 = 20

D = 20 - 2

D = 18

Furthermore, by solving the last Clue we will get,

2(C) = D + 2(T)

Substitute the known values,

2(4) = 18 + 2(T)

8 = 18 + 2T

8 - 18 = 2T

-10 = 2T

T = -5

Hence, the value of the Circle, Diamond, and the triangle is 4, 18, and -5, respectively.

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