Using long division what is the answer to 6.64 / 8.3?

Answer: y = 2x - 3

Step-by-step explanation:

y = mx + b

y + 2x - 3

Answer:

60 percent

Step-by-step explanation:

just do 90/150, and yo get 60 percent

The reason why multiplying a number by 10 moves the decimal to the right is because the number is increasing. When the decimal moves left when multiplied by 0.01, the number is decreasing.

When you multiply by powers of 10 which are positive, the number that is being multiplied will see its decimal move to the right. This is to show that the number is now increasing in value.

When you multiply by 0.01 however, the number will decrease and so the decimal will have to move left to show that the value of the number has decreased. For instance, 50 x 0.01 becomes 0.5.

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The equation, in point-slope form, of the line that is parallel to the given line and passes through the point (−3, 1) is y - 1 = 3/2(x+3)

One of the most popular ways to represent a linear equation is in point-slope form, which has the following structure:

y - y1 = m(x - x1) (x - x1),

where (x1, y1) is a point on the line, m is the slope, and x and y are variables that denote further points along the line. When one point on the line and the slope are known, the point-slope form can be employed. Given that at least one point and the slope of the line are known, it is helpful for locating further points on a line.

According to the given values;

Equation of a line in point-slope form

The equation of a line in point-slope form is expressed as:

y-y0 = m(x-x0)

where:

m is the slope

(x0,y0) is the point on the line

The slope of the given line is as shown:

Slope = 2-(-4)/2-(-2)

Slope = 2+4/2+2

Slope = 6/4 = 3/2

Substitute the slope and the point

y - 1 = 3/2(x-(-3))

y - 1 = 3/2(x+3)

Hence the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (−3, 1) is y - 1 = 3/2(x+3)

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Sandra has 4³ jars of honey and each one sells for 42 dollars, then if she sells total money = 2.688 * 10³ dollars.

Y = 42x is Sandra's equation.

To find her hourly rate, we need to find how much she earns in "1" hour. Since x is hours, we plug in x = 1 and find y (which is her pay).

Y = 42x

Y = 42(1)

Y = 42

Therefore, $42 is Sandra's hourly rate.

Based on the condition,

Sandra has 4³ jars of honey and each one sells for 42 dollars.

= 4³ * 42$

The expression to exponent expression model is equal to = 4³ * 42

Simplify the expression,

= 4³ * 42$

4³ means 4*4*4 = 64

We can write 64 is in this equation,

= 64 * 42$

= 2688$

= $2.688 * 10³

Hence,

The expression to model the situation is equal to = $2.688 * 10³

Therefore,

Sandra has 4³ jars of honey and each one sells for 42 dollars, then if she sells total money = 2.688 * 10³ dollars.

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Answer:

56 yd²

Step-by-step explanation:

You cut up the figure into 2 distinctive rectangles where it looks like one small rectangle is intersecting a larger one.

So you would do

4(4 + 4 + 4) = 4(12) = 48 yd²

2(4) = 8 yd²

Add

8 + 48 = 56

56 yd²

Hope this helps! :)

the ratio of the amount of watermelon juice to the amount of apple juice to the amount of orange juice in its simplest form is 12 : 27 : 14.

The ratio of the amount of watermelon juice to the amount of apple juice = 4 : 9

This can also be written as:

4 × 3 : 9 × 3

12 : 27

The ratio of the amount of apple juice to the amount of orange juice = 27 : 14

Now, the ratio of the amount of watermelon juice to the amount of apple juice to the amount of orange juice will be:

Ratio = 12 : 27 : 14

Therefore, the ratio of the amount of watermelon juice to the amount of apple juice to the amount of orange juice in its simplest form is 12 : 27 : 14.

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Using proportions, the commissions are given as follows:

5. a. $200. b. $0. c. $0. d. $200.

6. a. $250. b. $200. c. $0. d. $490.

7. a. $250. b. $800. c. $300. d. $1350.

8. a. $250. b. $800. c. $1250. d. $2300.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For item 5, the amount is less than $5,000, hence there is a single commission of 5%, as follows:

0.05 x 4000 = $200.

Hence the amounts are:

a. $200. b. $0. c. $0. d. $200.

For item 6, the commissions are divided as follows:

For a total of $490, as 250 + 240 = 490.

Hence the amounts are:

a. $250. b. $200. c. $0. d. $490.

For item 7, the commissions are divided as follows:

For a total of $1,350, as 250 + 800 + 300 = 1350.

Hence the amounts are:

a. $250. b. $800. c. $300. d. $1350.

For item 8, the commissions are divided as follows:

For a total of $2,300, as 250 + 800 + 1250 = 2300.

Hence the amounts are:

a. $250. b. $800. c. $1250. d. $2300.

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The range of the given function is B. {y | y = –7, –1, 0, 9}  

It should be noted that ee usually denote independent variable as x and dependent variable as y.

The range of a function is basically the set of all resulting y-values.

Given the first column is labeled x with entries - 5, 1, 4, 6. The second column is labeled y with entries 9, 0,-7, -1.

Then, the  range of the given function = values in second columns

i.e. Range={y | y = –7, –1, 0, 9}  [Arranged in order].

In conclusion, the correct option is B.

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Answer:

fjfj dhfj dh. hfhc hfh hfh hfh hfh hcdh

Answer:

1 and -8

Step-by-step explanation:

g(1) = 3*1-2

     = 3-2

     = 1

g(-2) = 3*-2-2

       = -6-2

       = -8

The required value of the function at g(1) and g(-2) are 1 and -8 respectively.

Given that,
g(a) = 3a - 2
To determine the value function at a = 1 and a = -2

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Given function is,
g(a) = 3a-2

at a = 1
g(1) = 3 * 1 - 2
g(1) = 3 - 2
g(1) = 1

Now,
at  = -2
G(-2) = 3 * -2 - 2
G(-2) = -6 - 2
g(-2) = -8

Thus, the required value of the function at g(1) and g(-2) are 1 and -8 respectively.

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Answer:

a = -3

(-3)² = -9

Answer: -9

Step-by-step explanation:

-3 x -3 = -9

(I think)

Answer:

2,835

Step-by-step explanation:

63 x 5 = 315

63 x 4 = 252

    315

+2520

2835

9

Step-by-step explanation:

PEMDAS

inside parentheses we have 3*2 = 6

9-6 =3

3^2 = 9

Using translation concepts, it is found that:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up. Other types of transformations are rotations or dilation.

For the first question, the rule for a reflection over the x-axis is given by:

(x,y) -> (x,-y).

Then:

P': (-5,-3) -> (-5,3).

The coordinates of P' are (-5,3).

For the second question, the rule for a 180º clockwise rotation about the origin is given by:

(x,y) -> (-x,-y).

Hence:

Hence:

The coordinates of the new triangle are P'(5,3),  K'(3,1) and Y'(1,4).

For a dilation by a scale factor of 2, every coordinate is multiplied by 2, hence:

The new coordinates of the dilated triangle are: A'(2,2), B'(10,4) and C'(6,10).

The rule for a translation 5 units down is:

(x,y) -> (x, y - 5).

Hence:

(-1,4) -> (-1,-5).

The new coordinates of C' are (-1,-5).

For the final question, a translation is when just the position of the image changes up/down, having no changes in size or orientation, hence:

The bottom-right image(the one that is already marked) represents a translation.

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The coordinates of the vertices of A'B'C'D' after a translation will be ( 2, -1 ), ( 5, 1), ( 6, -1), and ( 5, -3) respectively.

The translation is the action of moving the image's position relative to the coordinate system. The points are translated on a coordinate plane.

Given that quadrilateral, ABCD has coordinates A (0, 2), B (3, 4), C (4,2), and D (3,0).

The translation of the points will be done as below:-

A(0, 2)  ⇒  ( 2, -1 )

B (3, 4) ⇒   ( 5, 1)

C (4,2) ⇒   ( 6, -1)

D (3,0) ⇒   ( 5, -3)

Therefore, the coordinates of the vertices of A'B'C'D' after a translation will be ( 2, -1 ), ( 5, 1), ( 6, -1), and ( 5, -3) respectively.

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Using linear functions and the given table, it is found that:

A linear function is modeled by:

y = mx + b

In which:

From the table, we have that:

For the supply equation, we have two points:

(9.8, 190), (10, 220).

Hence the slope is given by:

m = (220 - 190)/(10 - 9.8) = 150.

Hence:

y = 150x + b.

When x = 9.8, y = 190, hence:

190 = 150(9.8) + b

b = -1280.

Hence:

y = 150x - 1280.

We want to find x when y = 200, hence:

200 = 150x - 1280

x = 1480/150

x = $9.87.

The quantity supplied will be equal to 200,000 at a price of $9.87.

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Answer:

A) -1

Step-by-step explanation:

The solution for the equation x² – 4x – 45 = 0 is (x – 9) (x + 5)

Given,

Quadratic equation = x² – 4x – 45

We can solve this by using quadratic formula.

Equations of the form ax² + bx + c = 0 can be solved using quadratic formula.

Here the equation is in the form of above mentioned:

x² – 4x – 45 = 0

Quadratic formula = [tex]\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}[/tex]

Substitute the values in the formula,

x = [tex]\frac{-(-4)(+-)\sqrt{(-4)^{2}-4(-45) } }{2}[/tex]

x = [tex]\frac{4(+-)\sqrt{16 -4(-45)} }{2}[/tex]

x = [tex]\frac{4(+-)\sqrt{16+180} }{2}[/tex]

x = [tex]\frac{4(+-)\sqrt{196} }{2}[/tex]

x = [tex]\frac{4(+-)14}{2}[/tex]

Now, solve the equation for:

x = [tex]\frac{4+14}{2}[/tex] = [tex]\frac{18}{2}[/tex] = 9

Next, solve the equation for:

x = [tex]\frac{4-14}{2}[/tex] = [tex]\frac{-10}{2}[/tex] = -5

According to ax² + bx + c = a(x - x₁) (x - x₂),

Here, x₁ is 9 and x₂ is -5

So,

x² - 4x - 45 = ( x - 9) (x - (-5))

That is,

x² - 4x - 45 = (x - 9) (x + 5)

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Answer:12

Step-by-step explanation:

cuz yes

Answer: (-∞, -1] and (0, 2)

Step-by-step explanation:

Can't compare f(x) = x+1 when x<=0 with g(x)=x+1 when x>-1 since the functions are equal between -1<x<=0.

Compare f(x) = 3 when x>0 with g(x)=x+1 when x>-1

g(x) can't be greater than or equal to f(x):

g(x)<f(x)

x+1<3

x+1-1<3-1

x<2 and x>0 ==> 0<x<2

0<x<2 ==> (0, 2)  ==> x is between 0 and 2 not including 0 and 2.

Compare f(x) = x+1 when x<=0 with g(x)=2x when x<=-1. Both equations have common x-values at x<=-1.

g(x)<f(x)

2x<x+1

2x-x<x-x+1

x<1 and x<=-1 ==> x<=-1

x<=-1 ==> (-∞, -1] ==> x is between -∞ and -1 not including -∞ but including -1.

(-∞, -1] and (0, 2)

The polynomials that match with other equivalent expressions are :

(a) → (iii), (b) → (ii), (c) → (iv), (d) → (i)

Consider the polynomials,

(a) 4x² + 18x                                (i) 2x(2x + 1)

(b) 4x² + 2x + 18x +9                   (ii) (2x + 1)(2x +9)

(c) (2x + 3)(2x + 3)                       (iii) 2x(2x + 9)    

(d) 4x² + 2x                                   (iv) 4x² + 12x + 9

Now,

Consider the polynomial 2x(2x + 1),

2x(2x + 1) = 2x(2x) + 2x(1)

2x(2x + 1) = 4x² + 2

Therefore, (d) is equal to (i).

Consider the polynomial 2x(2x + 9),

2x(2x + 9) = 2x(2x) + 2x(9)

2x(2x + 9) = 4x² + 18x

Therefore, (a) is equal to (iii).

Consider the polynomial (2x + 1)(2x +9) ,

(2x + 1)(2x +9)  = (2x)(2x) + (2x)(9) + (2x)(1) + 9

(2x + 1)(2x +9) = 4x² + 18x + 2x + 9

Therefore, (b) is equal to (ii).

Consider the polynomial (2x + 3)(2x + 3),

(2x + 3)(2x + 3) = (2x)(2x) + (2x)(3) + (3)(2x) + 9

(2x + 3)(2x + 3) = 4x² + 12x + 9

Therefore, (c) is equal to (iv).

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The complete question is mentioned below:

Match the polynomial on the left with the appropriately factored expression on the right.

(a) 4x² + 18x                                (i) 2x(2x + 1)

(b) 4x² + 2x + 18x +9                   (ii) (2x + 1)(2x +9)

(c) (2x + 3)(2x + 3)                       (iii) 2x(2x + 9)    

(d) 4x² + 2x                                   (iv) 4x² + 12x + 9

Answer:

256

Step-by-step explanation:

The number of subsets of a set with n elements is 2^n.

Answer: h(-7)=70

Step-by-step explanation:

h(x)=x^2-3x

h(-7)=(-7)^2-3(-7)

h(-7)=49-(-21)

h(-7)=49+21

h(-7)=70

The probability of 0.21 and would not warrant a refund. Therefore,  option A is the correct answer.

Given that, mean depth =0.98 mm, standard deviation =0.35 mm.

In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.

We are given that the distribution of tire tread is a bell-shaped distribution that is a normal distribution.

Formula: [tex]Z_{score}=\frac{x-\mu}{\sigma}[/tex]

Here, P(depth less than 0.70 mm)

P(x < 0.70)

Then, P(x < 0.70)=P(z<(0.70-0.98)/0.35)

=P(z<(-0.8)

Calculating from the normal z table, we get P(z<(-0.8)=0.212

≈0.21

Thus, the probability of 0.21 and would not warrant a refund. Therefore,  option A is the correct answer.

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Answer:

y = 2x + 5

Step-by-step explanation:

The slope is

[tex]\frac{-1-7}{-3-1}=2[/tex]

Substituting into point-slope form, we get the equation to be

[tex]y-7=2(x-1)[/tex]

which rearranges into slope-intercept form as:

[tex]y-7=2x-2 \\ \\ y=2x+5[/tex]

Scale Factor: A measure for similar figures.

Similar Figures: Two figures which are same in shape. these shapes do not have the same size as shapes with the same shape and size are congruent.

Finding the scale Factor: The scale factor can be found by dividing the dimension of the new shape by the dimension of the old shape.

21 ÷ 6 = 3.5

The scale factor would be 3.5

Now we can use this scale factor to find the dimension of the smaller rectangle.

52.5 cm ÷ 3.5 = 15 cm

The dimension of the smaller rectangle is 15 cm

We can check the answer by multiplying the new found dimension by the scale factor:

15 cm x 3.5 = 52.5 cm  

∴ The scale factor is 3.5

∴ The dimension of the smaller rectangle is 15 cm

The ordered pair which is a solution to the given inequality is: C. (2, 1).

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:

Next, we would test the ordered pair with the given inequality to determine a solution as follows:

For ordered pair (4, 4), we have:

3x + 2y < 15

3(4) + 2(4) < 15

12 + 8 < 15

20 < 15 (False).

For ordered pair (3, 3), we have:

3x + 2y < 15

3(3) + 2(3) < 15

9 + 6 < 15

15 < 15 (False).

7x - 4y > 9

7(3) - 4(3) > 9

21 - 12 > 9

9 > 9 (False)

For ordered pair (2, 1), we have:

3x + 2y < 15

3(2) + 2(1) < 15

6 + 2 < 15

8 < 15 (True).

7x - 4y > 9

7(2) - 4(1) > 9

14 - 4 > 9

10 > 9 (True)

For ordered pair (1, 0), we have:

3x + 2y < 15

3(1) + 2(0) < 15

3 + 0 < 15

3 < 15 (True).

7x - 4y > 9

7(1) - 4(0) > 9

7 - 4 > 9

3 > 9 (False)

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Answer:

$7

Step-by-step explanation:

If the total spending is $21, and he bought 3 items, we have to divide 21 by 3 and that makes 7

Hope it helped!

Answer:

7

Step-by-step explanation:

because each item is the same

let the item be 3x=21(given)

so x=21/3

therefore x = 7

come on this is easy