David expressed the ratio of the number of books that he owns to the number of DVDs that he owns as 27:11. Which statement could be true based upon this relationship? David has 11 books and 27 DVDs. David has 11 DVDs and 27 books. David has 11 DVDs and 27 items total. David has 11 books and 27 items total.

Answer:

3.2

Step-by-step explanation:

Answer:

B $17.00

Step-by-step explanation:

8 batteries are 13.60

6.80 split in half to become 2 is 3.40 and then I added 13.60 plus 3.40 to get 17.00

Answer:

6 ft

Step-by-step explanation:

Let the width = w

Then the length = 4w - 3

perimeter = 2(length + width)

perimeter = 2(4w - 3 + w)

perimeter = 2(5w - 3)

perimeter = 10w - 6 = 54

10w - 6 = 54

10w = 60

w = 6

Answer: The width is 6 ft

Answer:

x/10=-30/100 : -3

5/35 = 1/a : 7

2/x = 100/15 : .3

12/k = 4/1 : 3

2/8 = g/4 : 1

Step-by-step explanation:

Answer:

1- no

2- yes

3- no

4- yes

the ones that are no are because they either have x-values that repeat or they have y-values that repeat

Step-by-step explanation:

Answer:p(x) = x^3 - 5x^2 - 4x + 20

Step-by-step explanation:

1, - 1, 2, - 2, 4, - 4, 5, - 5, 10, - 10, 20, - 20

P(2) = 2^3 - 5 × 2^2 - 4 × 2 + 20

= 8 - 20 - 8 + 20 = 0,

so, 2 is one of its roots (zeros)

So,

x - 2 is one of the factors of p(x)

So, on dividing p(x) by x - 2 we get

P(x) = (x - 2) (x^2 - 3x - 10)

= (x - 2) (x^2 - 5x + 2x - 10)

= (x - 2) {x (x - 5) + 2 (x - 5)}

= (x - 2) {(x - 5) (x + 2)}

P(x) = (x - 5) (x - 2) (x + 2)

For zeros, let p(x) = 0

=> (x - 5) (x - 2) (x + 2) = 0

Either

(x - 5) = 0

Or

(x - 2) = 0

Or

(x + 2) = 0

So, x = 5, 2, - 2

Answer:

(-1,3)

Step-by-step explanation:

Given that the quadrilateral ABCD is translated to get quadrilateral A'B'C'D'. The vertex A is at (-5,2) is translated to vertex A' is at (2,-2).

The translation is x-direction, a, is the difference of x-coordinates of both the points, a=2-(-5)=2+5=7.

The translation is y-direction, b, is the difference of y-coordinates of both the points, b = -2-2 = -4.

As all the points are translated by the same magnitude as well as in the same direction, so by adding a to x and b to y coordinate of any points, the translated point can be determined.

The vertex of point B is (-6,5), so, the vertex of the point B' would be (-6+a, 5+b)=(-6+7, 5+(-4))=(-1,3).

Hence, the vertex of point B' is (-1,3).

Answer:

The equations 9x+8y=14100 and x = y+150 are in the simplest form.

Step-by-step explanation:

Given that:

Russian blue kitten costs $150 more than Manx kitten.

Cost of 9 blue kittens and  8 Manx kittens = $14100

Let,

x be the price of one Russian blue kitten.

y be the price of one Manx kitten.

According to given statement;

9x+8y=14100

x = y+150

Hence,

The equations 9x+8y=14100 and x = y+150 are in the simplest form.

Answers:

1) The errors that were made in this expression are that [tex](-\frac{1}{4})[/tex] was converted to   [tex](-\frac{1}{12})[/tex] incorrectly when it’s supposed to convert to [tex](-\frac{3}{12})[/tex], [tex]\frac{2}{3}[/tex] was also converted to [tex]\frac{2}{12}[/tex] incorrectly when it’s supposed to convert to [tex]\frac{8}{12}[/tex], an order of operations step was done wrong when [tex](-\frac{1}{12})+\frac{2}{12}[/tex] were added, but they are not supposed to be added since the brackets are supposed to be done first, and another order of operations step was done wrong when [tex]\frac{1}{12}[/tex] ÷ [tex]\frac{1}{3}[/tex] were divided, but they are not supposed to be divided because the brackets were removed when they’re supposed to be kept and solved first.

2) The errors that were made in this expression are that an order of operations step was done wrong when [tex]-\frac{15}{40} -\frac{32}{40}[/tex] were subtracted, but they are not supposed to be subtracted since multiplication or division is supposed to be solved first than subtraction or addition, [tex](-\frac{4}{5} )[/tex] was not flipped when the symbol was changed from division to multiplication when it’s supposed to change to [tex](-\frac{5}{4} )[/tex], and another order of operations step was done wrong when [tex]\frac{3}{10}[/tex] × [tex](-\frac{4}{5})[/tex] were multiplied, but they are not supposed to be multiplied because [tex]-\frac{47}{40}[/tex] × [tex]\frac{3}{10}[/tex] are supposed to be solve first since the expression needs to be solved from left to right.

Now create two of your own showing common errors that are made, and explain why you think these are the common errors:

In the image below ↓

Answer:

z = 92 degrees

x = 6

Step-by-step explanation:

z and the angle that measures 92 degrees are vertical angles which means they are congruent. So, z = 92 degrees.

The total measure of all these angles is 360 degrees. Subtract 92*2 from 360 and divide the answer by 2. You get 88.

88 = 9x + 34

Solve for x.

x = 6

Answer:

Step-by-step explanation:

For x:

For z:

I hope this helps!

The Answer is 4.

You isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

C 4

Step-by-step explanation:

Upon drafting an equation based on the information provided and solving it, it is concluded that Steph earns £36 by selling the plain scones.

An equation is a combination of numbers, variables, functions, or often symbols according to a peculiar rule. It consists of expressions and equality sign(=).

Let's assume that Steph earns x from selling cheese scones then she earns 4x from selling fruit scones and 3x from selling plain scones.

The total amount she earns by selling all the scones is 96.

So,

x + 4x + 3x = 96

8x = 96

x = [tex]\frac{96}{8}[/tex]

x = 12

The amount she earns by selling plain scones = 3 × 12 = 36.

So, she makes £36 by selling the plain scones.

Learn more about Equation here:

https://brainly.com/question/28953876

#SPJ12

Answer:

40 is the total amount of cookies

32 is the amount left

Step-by-step explanation:

If 20% of cookies equal to 8 then to find how many are there in total we multiply 8 with 100 then divide it with 20

8 × 100 ÷ 20 = 40

Answer:

y=10x-4

Step-by-step explanation:

To find the slope of the line, we will take 2 points.

(1,6), (2,16)

m=16-6/2-1

m=10/1 or m=10

Next, we will need to find b.

6=10(1) + b

6=10 +b

-4=b

y=10x-4

Answer:

4

Step-by-step explanation:

Answer:

[tex]m=\frac{-4}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (4, 2)

Point (1, 6)

Step 2: Find slope m

Answer:yes he is correct

Step-by-step explanation: if you go on a certain site and you put in the equation, you press enter then it will pop up with what you want to do. Press graph, then you can compare the graphs and if it is the same you know it is correct

Answer:

[tex]V=\dfrac{2}{25}T+22[/tex]

Step-by-step explanation:

It is given that,

At 0 degrees Celsius, the volume of a gas is 22 liters. For each degree the temperature T (in degrees Celsius) increases, the volume V (in liters) of gas increases by 2/25.

If we take a cartesian coordinate, the line passes through (0,22). The slope of the line is 2/25.

The equation of a point-slope form is given by :

[tex]y-y_1=m(x-x_1)\\\\y-22=\dfrac{2}{25}(x-0)\\\\y-22=\dfrac{2x}{25}\\\\y=\dfrac{2x}{25}+22[/tex]

Here, x will be temperature and y will be volume. So,

[tex]V=\dfrac{2}{25}T+22[/tex]

Hence, the equation that represents the volume in terms of the temperature is [tex]V=\dfrac{2}{25}T+22[/tex]

Answer:

$79.375

Step-by-step explanation:

Given that:

Bill before tax = $63.50

Tax = 7%

Tip added = 18%

Hence,

Tax = 7% of bill before tax

Tax amount = 0.07 * 63.50

Tax amount = $4.445

Tip amount = 0.18 * 63.50

Tip amount = $11.43

Total meal cost :

Before tax cost + tax amount + tip amount

$(63.50 + 4.445 + 11.43) = $79.375

Answer:

a. 60%

b. 37%

c. 3%

Step-by-step explanation:

a. 72/ 120 then multiply by 100

b. 120- 72 + 4 = 44/ 120 x 100

c. 4/120 x 100

Answer:

a) 60%.      b) 37%.      c) 3%

Answer:

y=-2x+2

Step-by-step explanation:

Answer:

Step-by-step explanation:

RMJ = MPT = 90                     Perpendicular lines create right angles (90o)

PM = RJ                                   Given

TM = MJ                                   Definition of a midpoint

PT = MR                                   Two equal legs of a right triangle makes the third   side of each equal by a^2 + b^2 = c^2

ΔPTM = ΔJMR                               Side Side Side

There are other ways of doing this. This is one way.

Answer:

Here you go

Step-by-step explanation:

The quadratic formula helps you solve quadratic equations, and is probably one of the top five formulas in math. Then the formula will help you find the roots of a quadratic equation, i.e. the values of x where this equation is solved.

Answer:10 wrong

Step-by-step explanation:

I am smart

Hope it helps :)

Answer:

f = 54°

Step-by-step explanation:

54° and f are vertical angles and are congruent, thus

f = 54°

Answer:

35

Step-by-step explanation:

Let number = x

(1/5 of x) + (3 * x) = 42 + (2 * x)

x/5 + 3x = 42 + 2x

1/5x + 3x - 2x = 42

1 1/5x = 42

6/5 x = 42

x = 42 ÷ 6/5

x = 42 * 5/6

x = 210 / 6

x = 35

The number is 35