Jack earns $300 per week selling cars. He makes an additional 2% commission on all of his sales. Last week he sold $53, 850 worth of cars. What was Jack’s income for the week?

7 is bases number two , I'm not sure it sounds like similar makes more sense , but not sure for 2

Answer:

find the missing numbers

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solve for x

- 4 (x - 2) = - 4           There are a a couple of ways of doing this. Divide by - 4

-4 (x - 2)/-4 = - 4/-4   Combine

x - 2 = 1                     Add 2

x = 3

Solve for y

9 + 2(y - 3) = 3(y - 2) + 1        Remove the brackets on both sides.

9 + 2y - 6 = 3y - 6 + 1           Combine

9 - 6 + 2y = 3y - 5                

3 + 2y = 3y - 5                      Add 5

3 + 5 + 2y = 3y                      Subtract 2y

8 + 2y - 2y = 3y - 2y

8 = y

Solve for z

z/3 + 1/2 = 5/2                       Subtract 1/2 from both sides.

z/3 + 1/2 - 1/2 = 5/2 - 1/2       Combine

z/3 = 4/2

z/3 = 2                                   Multiply by 3

z/3*3 = 2*3

z = 6

So far what you have is

3

==

8 ||  6

== must = 4 because 3 + 8 + 4 = 15

||  must =  1 because 8 + 6 + 1 = 15

You have 3 numbers left to place 5,7,2

The right hand upper corner = 7.

I'll leave you to place the 5 and 2

The equivalent equation of the provided equation y = a(x - h)² + k will be given as y = ax² + ah² + 2ahx + k.

The equivalent is the equations that are in different forms but are equal to the same value.

The equation of the parabola is given below.

y = a(x - h)² + k

Then open the bracket, we have

y = a(x² + h² - 2xh) + k

y = ax² + ah² + 2ahx + k

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The correct answer is option D. [tex]a = \frac{y-k}{(x-h)^2}[/tex]

Let's analyze each option:
A. [tex]x = \pm\sqrt{\frac{y-k}{a}} -h[/tex].

   Rearrange equation: [tex]x+h = \pm\sqrt{\frac{y-k}{a} }[/tex].

   Here we can see a term of x+h, but this is not correct as the formula has (x-h). Hence this option is incorrect.

B. [tex]h = x-(\frac{y-k}{a} )^2[/tex]

   Rearrange equation: [tex](\frac{y-k}{a})^2 = x-h[/tex]

we can see that degree of y term is 2 and that of x term is 1 which not correct as in the formula x has degree =2 and y has degree. = 1.

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

   This is incorrect as the equation doesn't include 'a' whereas the formula includes 'a'.

D. [tex]a = \frac{y-k}{(x-h)^2}[/tex]

    Cross multiplying: [tex]y- k = a(x-h)^2[/tex]

    Rearrange: [tex]y = a(x-h)^2+k[/tex]

   This equation is equivalent to the formula.

The complete question is:
Which equation is equivalent to the formula below?

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

A. [tex]x = \pm\sqrt{\frac{y-k}{a}} -h[/tex]

B. [tex]h = x-(\frac{y-k}{a} )^2[/tex]

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

D. [tex]a = \frac{y-k}{(x-h)^2}[/tex]

Answer:

[tex]f(x) = 6x -12[/tex]

Step-by-step explanation:

We must write the function of the line in the form [tex]f (x) = mx + b[/tex]

First calculate the slope m

[tex]m =\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]y_2 = 18\\y_1 =6\\x_2=5\\x_1=3[/tex]

[tex]m= \frac{18-6}{5-3} = 6[/tex]

Then

[tex]f(x) = 6x +b[/tex]

To have b replaced a point in the function

[tex]f(3)=6 = 6(3) +b\\\\6-18= b\\\\b=-12[/tex]

Finally the function is

[tex]f(x) = 6x -12[/tex]

ANSWER

[tex]f(x) = 6x - 12[/tex]

EXPLANATION

The given line passes through the points (3, 6) and (5, 18).

The slope of this line given by:

[tex]m = \frac{y_2-y_1}{x_2-x_1} [/tex]

We plug in the points to get,

[tex]m = \frac{18 - 6}{5 - 3} = \frac{12}{2} = 6[/tex]

The equation is given by

[tex]y-y_1=m(x-x_1)[/tex]

We plug in the point and the slope to get,

[tex]y - 6 = 6(x - 3)[/tex]

[tex]y - 6 = 6x - 18[/tex]

[tex] y = 6x - 18 + 6[/tex]

[tex]y = 6x - 12[/tex]

Using function notation, we have

[tex]f(x) = 6x - 12[/tex]

2. 135 grams is your answer

The mass of the baseball is 146 grams.

Mass refers to the weight of an object. It is measured in grams (g) and kilograms (kg).

According to question we have a spherical ball of radius 1.47 inches and density of ball is 11g/cubic inch.

We know that density  = mass/volume                   ...............(i)

Volume of sphere is given by

Volume = 4π(radius)³/3

volume = 4π(1.47)³/3

volume = 13.3057 inches³ By (i)

  mass = density x volume

  mass = 11 x 13.3057mass

            = 146.36g

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Answer:

4

Step-by-step explanation:

How many selfies did Tania take? (my first answer would be too many, but that's probably not the answer you're looking for :-) )

We know that each cousin appear 2 or 3 times overall.

If she would have taken each cousin exactly 2 times, that would be 16 cousins/photos

If she would have taken each cousin exactly 3 times, that would be 24 cousins/photos

We know there's exactly 5 cousins per photo...

so we have to find a multiple of 5 cousins/photos that is between 16 and 24.

The only possibility is 20 cousins/photos.  20 / 5 = 4 photos.

Answer:

137.1

Step-by-step explanation:

Add the area of the semicircle to the area of the rectangle. The area of the semicircle is going to be [tex]\pi r^{2}[/tex] / 2. r standing for radius. the radius is 4 (half of the diameter). When you plug in 4 for r you get approximately 25.1. Then you have to add that to the area of the rectangle which is just 14x8 which equals 112.

25.1 + 112 = 137.1

Answer:

137.1

Step-by-step explanation:

So what you wana do is multiply 8 x 14 which equal 112 so u can rule out 212.5 (too big) and 86.9 (too little) now u have 137.1 and 162.2 now what u wana do is look at the nearest one cause the space we have left is very small so know we can rule out 162.2 so your answer is 137.1!

                                 Foot note: plz tell me if this helps!

Answer : 28 units

the shorter side lengths both equal 5 units so that would be 5+5=10

the longer side lengths both equal 9 units so that would be 9+9=18

18+10=28 units

Answer:

The correct answer would be 28 units.

Step-by-step explanation:

the length of the recktangle is 9. There are two sided with 9 so you would add 9+9. The height of the rectangle is 5 and there are two heights. You add 5+5 then you add 18 witch is the sum of 9+9 and you get 28.

I hope this helps.

Have a good day

<3 C.J

The missing length of the missing side is x+1.

To find the perimeter of this object, we need to know hat perimeter truly means.

Perimeter-The sum of all the sides.

The sides from the trapezoid are 3x+1, x , and x.

We combine like terms, so 3x + x + x = 5x

1 is the only number.

We are left off with 5x+1. Our objective is to get 6x+2.

How do we get there? We add 1x or x (1x and x) are the same thing, and we add one.

5x+1 + 1x + 1 = 6x+2;

Therefore the renaming length of the missing side is 1x+1.

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Answer:

x + 1

Step-by-step explanation:

Is that a lone x on the left hand side? I will assume so.

Let y be the value of the side marked with a ?.

x + 3x + 1 + x + y = 6x + 2     collect the like terms on the left.

5x + 1 + y= 6x + 2                  Subtract 1 from both sides.

5x + 1-1 +y = 6x + 2-1             Combine

5x + y = 6x + 1                        Subtract 5x from both sides.

5x-5x + y = 6x -5x +1             Combine

y =x + 1

The missing side is x +1

Answer:

Option D [tex]y=-3x[/tex]

Step-by-step explanation:

we have the points

(-3,9) and (0,0)

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem the line passes through the origin, then the line represent a direct variation

Find the constant of proportionality k

[tex]k=y/x[/tex]

For the point (-3,9)

[tex]k=9/-3=-3[/tex]

so

the equation is

[tex]y=-3x[/tex]

Answer:

y = -3x

Step-by-step explanation:

it's what the test said

Answer:

Area=3

Step-by-step explanation:

A = 1/2 bh

A = 1/2 (10) (3/5)

A = 3

Answer:

The dimensions of the porch are [tex]25\ ft[/tex]  by [tex]20\ ft[/tex]

Step-by-step explanation:

we know that

The area of the porch is equal to the length multiplied by the width

[tex]A=(2x+3)(x+9)[/tex]

[tex]A=500\ ft^{2}[/tex]

so

[tex]500=(2x+3)(x+9)[/tex]

Solve for x

[tex]500=2x^{2} +18x+3x+27\\ \\2x^{2} +21x-473=0[/tex]

Solve the quadratic equation by graphing

The solution is [tex]x=11\ ft[/tex]

see the attached figure

The dimensions are

[tex](2x+3)=2(11)+3=25\ ft[/tex]

[tex](x+9)=11+9=20\ ft[/tex]

Answer:

The relative complement or set difference of sets A and B, denoted A – B, is the set of all elements in A that are not in B. ... Then the set difference of A and B would be the $407 remaining in the checking account. Example: Let A = {a, b, c, d} and B = {b, d, e}. Then A – B = {a, c} and B – A = {e}.

Step-by-step explanation:

Well, I hope this helps!

The algebraic representation of the expression The difference between a and b is 6 is a - b = 6

From the question, we have the following parameters that can be used in our computation:

The difference between a and b is 6

By definiton:

difference means subtraction/minus

Using the above as a guide, we have the following:

a - b = 6

When solved, we have

a - b = 6

Hence, the algebraic representation of the expressionis a - b = 6

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Question

Translate the sentence into an equation.

The difference between a and b is 6

Answer:

The dirt is [tex]\frac{2}{3}ft[/tex] deep

Step-by-step explanation:

The raised garden bed has width, w=6ft.

The length of the garden bed is;

l=8ft

The height, h is how deep, the dirt is.

The volume of dirt the garden bed contains is 32 cubic feet.

The volume is given by the formula;

[tex]Volume=l\times w\times h[/tex]

We substitute the given values and solve for x.

[tex]32=8\times 6\times h[/tex]

[tex]32=48h[/tex]

[tex]h=\frac{32}{48}[/tex]

[tex]h=\frac{2}{3}ft[/tex]

The dirt is [tex]\frac{2}{3}ft[/tex] deep

Answer:

0.66

Step-by-step explanation:

Answer:

80π feet/ second.

Step-by-step explanation:

Angular velocity of a point = 10π radians per second

Radius of the circle is 8 feet.

We know the formula of angular velocity is

Angular velocity = [tex]\frac{speed}{radius}[/tex]

10π = [tex]\frac{speed}{8}[/tex]

Speed = 80π feet/ second.

Option C is the answer.

Answer: [tex]80\pi\text{ ft/sec}[/tex]

Step-by-step explanation:

Formula : [tex]\text{Speed= Angular velocity x Radius}[/tex]   (1)

We are given that , The angular velocity of a point with radius 8 feet is 10 pi radians per second.

i.e. Radius = 8 feet

Angular velocity = [tex]10\pi[/tex] radians per second.

Then, the speed of the point will be :-

[tex]\text{Speed= }10\pi \times 8[/tex]   [using (1)]

[tex]=80\pi\text{ ft/sec}[/tex]

Hence, the speed of the point [tex]=80\pi\text{ ft/sec}[/tex]

Answer:

∠MLN = 21°

Step-by-step explanation:

∠MLN = ∠MLO - ∠OLN = 52° - 31° = 21°

Answer: b. Area of a triangle.

Step-by-step explanation:

a. The formula for calculate the area of a parallelogram is:

[tex]A_{p}=b*h[/tex]

Where "b" is the base and "h" is the height.

Then, with the given formula you can't find the area of a parallelogram.

b. The formula for calculate the area of a triangle is:

[tex]A_{tr}=\frac{1}{2}(b*h)[/tex]

Where "b" is base and "h" is the height.

Then, with the given formula you can find the area of a triangle.

c. The formula for calculate the area of a trapezoid is:

[tex]A_{tp}=\frac{h}{2}(B+b)[/tex]

Where "B" is the larger base ,"b" is the smaller base and "h" is the height.

Then,  with the given formula you can't find the area of a trapezoid.

d. The formula for calculate the area of a rectangle is:

[tex]A_{r}=l*w[/tex]

Where "l" is the lenght and "w" is the width.

Then, with the given formula you can't find the area of a rectangle.

Answer:

360

Step-by-step explanation:

mark out 10cm and 3cm

now you multiply 8*5*9

l*w*h

****** this symbol represent multiplication

Sorry, I didn't fully understand your initial question. I'll answer it now.

A quick and easy equation you can always use is y = -x + 2

Put one point on (0, 2) and put another point on (2, 0) (since a slope of 2/2 would cancel out) Then connect the points, and you're done.

Y=-x+2 is an equation that you can use

Answer:

  Square

Step-by-step explanation:

The length of AB is (a+b)-a = b. The length of BC is b-0 = b. So, adjacent sides are the same length. AB has a constant y-value, so is horizontal. BC has a constant x-value, so is vertical.

A figure with horizontal and vertical sides of the same length is a square.

Answer:

$499.8

Step-by-step explanation:

Principal=$580

Time=6 months=1/2 year

rate=2% p.a.

prt=580*2*1

   ---------------

     2*100

=$499.80

Answer:  

Simple Interest over the given time interval will be $5.80

Step-by-step explanation:

Principal Amount = $580

Rate of Interest = 2%

                          = 0.02

Time = 6 months

        = 0.5 years

Now, Simple Interest is given by the formula :

Simple Interest = Principal × Rate × Time

⇒ Simple Interest = 580 × 0.02 × 0.5

⇒ Simple Interest = $5.80

Thus, Simple Interest over the given time interval will be $5.80

Answer:

A way to solve a linear system algebraically is to use the substitution method. The substitution method functions by substituting the one y-value with the other. We're going to explain this by using an example. We can substitute y in the second equation with the first equation since y = y.

Hope This Helps!   Have A Nice Day!!

Answer:

yes

Step-by-step explanation:

Answer

0

drmallery

   Ace

   710 answers

   106.6K people helped

Answer:

X=1, y=3

Step-by-step explanation:

X + y = 4

y=3x

x+ 3x=4 substitute y value of second equation (3x) in y value of 1st equation

4x=4 solve for x

x=1

solve for y by putting x value (4) in either equation:

x+y=4

1+y=4

y=3

check answers using both equations:

x+y=4

1+3=4

4=4

or

y=3x

3=3(1)

3=3

X=11 because 90-43+5x-8 so 5•11=55-8 =47 90-43=47

Complementary means the angles together would equal 90°. Supplementary means the angles would equal 180°.

Using Complementary angles:

5x-8+43=90 Combine -8 and 43 = 35

5x+35=90

-35 -35

5x=55

Divide each side by five

x=11

To find the length of the rectangular field, set up an equation using the given information and solve for the width. Then, add 10 to the width to find the length of the field.

To find the length of the rectangular field, we can set up an equation using the given information. Let's let x represent the width of the field. Since the length is 10 feet more than the width, we can represent the length as x+10. The perimeter of a rectangle is given by the formula P = 2L + 2W, where P is the perimeter, L is the length, and W is the width. In this case, we know that the perimeter is 600 feet, so we can set up the equation: 600 = 2(x+10) + 2x. Solving this equation will give us the value of x, which represents the width. Once we have the width, we can find the length by adding 10 to the width.

Let's solve the equation:

The width of the field is 145 feet. To find the length, we add 10 to the width: 145 + 10 = 155 feet. Therefore, the length of the field is 155 feet.

Answer:

A

Step-by-step explanation:

-3x²y² × y⁴x³

When multiplying, add the exponents:

-3x⁽²⁺³⁾y⁽²⁺⁴⁾

-3x⁵y⁶

Answer is A.

Answer:

Step-by-step explanation:

[tex]-3x^2y^2\cdot y^4x^3=(-3)(x^2x^3)(y^2y^4)\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=(-3)(x^{2+3})(y^{2+4})\\\\=-3x^5y^6[/tex]

Answer:

5/8

Step-by-step explanation:

The sectors are labeled 1,2,3,4,5,6,7,8

Numbers less than 4: 1,2,3

Multiples of 4: 4,8

We are looking for 1,2,3,4,8  = 5 choices

P (1,2,3,4,8) = Number of choices/ total

                  = 5/8

Answer:

Step-by-step explanation:

Determine the fraction of total interest owed.

After the seventh month of a 12-month loan,

the numerator is: {(n + 11) + (n + 10) + (n + 9) + (n + 8) + (n + 7) + (n + 6) + (n + 5)} =  

(63)

, and

the denominator is: {(n) + (n + 1) + ... + (n + 11)} =  

(78)

.

Therefore, the fraction is numerator/denominator (to the nearest tenth) =  

(80.8) %.

To determine the fraction of total interest paid after the seventh month of a 12-month loan, find the numerator and denominator, calculate the sums, and divide them.

To determine the fraction of total interest paid after the seventh month of a 12-month loan, we need to find the numerator and denominator of the fraction. The numerator is given by the sum of all the amounts owed in the previous months, while the denominator is the sum of all the amounts owed for the entire loan term.

In this case, the numerator is {(n + 11) + (n + 10) + (n + 9) + (n + 8) + (n + 7) + (n + 6) + (n + 5)}, and the denominator is {(n) + (n + 1) + ... + (n + 11)}. Simply calculate these sums and then divide the numerator by the denominator to obtain the fraction of total interest paid.

For example, if n = 100, the numerator would be {(100 + 11) + (100 + 10) + (100 + 9) + (100 + 8) + (100 + 7) + (100 + 6) + (100 + 5)} and the denominator would be {(100) + (100 + 1) + ... + (100 + 11)}. Once you have the numerator and denominator, divide them to get the fraction, which can be represented as a decimal to the nearest tenth.

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Answer:

Answer is 6.23u because ,

For this case we must simplify the following expression:

[tex]\frac {4u} {25u} =[/tex]

We must cancel similar terms of the numerator and denominator:

[tex]\frac {4} {25} =[/tex]

The decimal form of the expression is obtained by replacing the values in a calculator:

[tex]\frac {4} {25} = 0.16[/tex]

ANswer:

0.16

14 servings. 67 divided by 3 is around 22. 3 divided by 2 is 1.5. 22 divided by 1.5 is decimals over 14.

Answer:

You can have two answers, but the most likely is 15, if the answer can be 14 but if the question says that round the nearest number is 15

Answer:

Hence first graph is the correct answer.

T I

1 28

2 56

3 84

4 112

Step-by-step explanation:

Given that initial amount P = $400

Simple rate of interest = R = 7% = 0.07

Time t= 1,2,3,4 years.

Then apply Simple interest formula to find the total interest earned in the given years.

I=PRT

for t=1 year

I=PRT=400(0.07)(1)=28

for t=2 year

I=PRT=400(0.07)(2)=56

for t=3 year

I=PRT=400(0.07)(31)=84

for t=4 year

I=PRT=400(0.07)(4)=112

Now we have table as shown below:

T I

1 28

2 56

3 84

4 112

Graphing these points we see that obtained graph best matches with First choice .

Hence first graph is the correct answer.