20. There were sold 200 books and magazines. Ono book costs $15 and oach magazino costs
$5: they spent $1500 in total. How many books and how many magazines wero sold?

Answer:

No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent.

Step-by-step explanation:

Data provided in the question

m∠ABC = 45°

m∠ECD = 45°

Based on the above information, the ΔBAC ~ ΔEDC could be determined by seeing the given options

As we can see that from the last option the AA could not be postulated as it creates a reflection over the line plus the ∠ABC and ∠DEC is not congruent

Therefore the last option is correct

No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent. Therefore the option D is correct.

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

Data given in the question

m∠ABC = 45°

m∠ECD = 45°

Based on the above information, the ΔBAC ~ ΔEDC could be determined by seeing the given options one by one.

As we can conclude that from the last option the AA could not be postulated as it creates a reflection over the line plus the ∠ABC and ∠DEC is not congruent.

No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent.

Therefore the option D is correct.

Read more about similar triangles at:

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Answer:

first answer is correct

Step-by-step explanation:

hello

as we can write

[tex]x^2-1=(x-1)(x+1)\\[/tex]

the least common denominator is

x(x-1)(x+1)

hope this helps

Answer:

x + 1

x - 1

x

Step-by-step explanation:

The denominators are as follows.

(x - 1)

x^2 - 1

x

=====

The second denominator is actually made of two factors.

x^2 - 1 =(x + 1)(x - 1)

So the least common denominator is

x + 1

x - 1

x

You do not count the x - 1 twice.

Answer:

The answer is Parallelogram!

Step-by-step explanation: Unlike a square, a Parrallelogram has 2 same short sides, and 2 long! But a square has all same sides; so, it's not sqaure.

Answer:

square

Step-by-step explanation:

A rectangle is a quadrilateral with 4 right angles.

A square is a quadrilateral with 4 right angles and 4 congruent sides, so s square is a rectangle.

Answer:

5/3

Step-by-step explanation:

35 and 21 could be divided by a factor of 7.

35 ÷ 7 = 5

21 ÷ 7 = 3

So,

35/21 = 5/3

Answer:

5/3

Step-by-step explanation:

35 divided by 7 is 5

21 divided by 7 is 3

Thus 35/21 in simplest form is 5/3

Answer:

1/6 for 1 and 1/6 for 6

Step-by-step explanation:

Answer: the possibility are equal

Step-by-step explanation:

A p e x

Answer:

15/3 = v/7 can be a true proportion.

Step-by-step explanation:

v is a variable, which means that technically any number can be put inside.

In this case, however, when you are solving for v, the numerator must be proportional to the denominator.

In the case of the question, the questioner multiplied ~2.33 to the denominator. Do the same to the numerator:

15 x 2.33 = ~34.95

If the variable v is ~34.95, then it is a true proportion.

Answer:

f(x) = √7x

g(x) = 1/x -8

To find the domain of f º g we must first find f o g(x)

To find f o g(x) wherever you see x in f(x) replace it by g(x)

That's

f o g = √7(1/x-8)

= √7 / √x - 8

To find the domain equate the denominator to zero

That's

√x - 8 = 0

Square both sides

(√x - 8)² = 0²

x - 8 = 0

x = 8

The domain of f o g is x E R except 8

Hope this helps

Answer:

Time spent in     Observed              Predicted                               Residual

studying (x)      midterm score   midterm score

12                            70                           60.5                                        9.5

18                             75                            83.34                                     -8.34

Step-by-step explanation:

Given, The equation of the line of best fit: [tex]y=3.8x+14.94[/tex] (which gives the predicted score.)

Time spent in studying of 12 hours i.e. at x=12, observed y= 70

Predicted y = [tex]3.8(12)+14.94=60.5[/tex]

Residual =Observed y - predicted y

= 70-60.5

= 9.5

Time spent in studying of 18 hours  i.e. at x=18, observed y= 75

Predicted y = [tex]3.8(18)+14.94=83.34[/tex]

Residual = Observed y - predicted y

= 75-83.34

= -8.34

Time spent in     Observed              Predicted                               Residual

studying (x)      midterm score   midterm score

12                            70                           60.5                                        9.5

18                             75                            83.34                                     -8.34

Answer:

0.5

Step-by-step explanation:

To find the midpoint, add the x values and y values respectively. Then divide the results by 2. So, the midpoint of CD will be (0.5,5.5). The x value is 0.5.

Hey there! :)

Answer:

0.5.

Step-by-step explanation:

Use the midpoint formula to solve for the coordinates:

midpoint = [tex]({\frac{x_{1}+x_{2}}{2} },{\frac{y_{1}+y_{2}}{2} } )[/tex]

Plug in the points for C and D:

[tex]({\frac{-2+3}{2} },{\frac{4+7}{2} } )[/tex]

Simplify:

[tex]({\frac{1}{2} },{\frac{11}{2} } )[/tex] These are the coordinates for the midpoint.

The x-value of the coordinate is 1/2, or 0.5.

Answer:

5.83 units

Step-by-step explanation:

Given is a right angled triangle.

Length of base = 2 - (-3) = 2+ 3 = 5 units

Height = 4 - 1 = 3 units

By Pythagorean theorem:

[tex]RS = \sqrt{ {5}^{2} + {3}^{2} } \\ = \sqrt{25 + 9} \\ = \sqrt{34} \\ = 5.83095189 \\ = 5.83\: units[/tex]

Answer:

Step-by-step explanation:

Answer A is correct.  Note that (6/5)(35) = 42 (side DG).

Answer:

Graph A is the answer

Step-by-step explanation:

Graph A is correct.

We have an inequality -

[tex]y < \frac{3x}{4}+2[/tex]

We have to graph this inequality and select the correct option.

Inequality in mathematics is a relation that is used to compare two or more algebraic expressions.

We have in our question an inequality as -

[tex]y < \frac{3x}{4}+2[/tex]

Follow the following steps to reach the graph -

STEP 1 ->

Replace the ' < ' sign with ' = ' sign and plot the graph of the equation formed - [tex]y = \frac{3x}{4}+2[/tex]

which is same as y = mx + c.

On comparing : m = [tex]\frac{3}{4}[/tex]  and  c =2.

Therefore, this line intersects the y - axis at the point (0, 2).

STEP 2 ->

Since the line does not pass through (0,0) we can consider it as our test point. Substituting x = y = 0 in the inequality, we get -

0 < 0 + 2

0 < 2, which is true.

We will shade the area in which (0,0) lies.

STEP 3 ->

Since the inequality is a strict inequality, the line will be a dotted line.

Hence, Graph A is correct.

To solve more questions on plotting the graphs of inequality, visit the link below -

https://brainly.com/question/25851784

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Answer: $20.62

Step-by-step explanation:

Ok so she spent 27.50 and the tax was 10% and the tip was 15%

10% of 27.50=0.1*27.50=2.75

15% of 27.50=0.15*27.50=4.125=4.13 (rounded to the nearest cent)

So the question is asking about without the tax (2.75) or the tip (4.13) so you have to subtract the tax and tip from the total cost (27.50)

27.50-2.75-4.13=20.62

The cost of her dinner without tax or tip is 20.62

Answer:$20.62 would be the price

Step-by-step explanation:

Answer:

[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = \sqrt[3]{x^2}[/tex]

Step-by-step explanation:

Given

[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}}[/tex]

Required

Rewrite in simplest radical form

Using laws of indices:

[tex]a^m/a^n = a^{m-n}[/tex]

This implies that

[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{5}{6} - \frac{1}{6}}[/tex]

Solve Exponents

[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{5 - 1}{6} }[/tex]

[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{4}{6} }[/tex]

Simplify exponent to lowest fraction

[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{2}{3} }[/tex]

Using laws of indices:

[tex]a^{\frac{m}{n}} = \sqrt[n]{a^m}[/tex]

This implies that

[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = \sqrt[3]{x^2}[/tex]

This is as far as the expression can be simplified

Step-by-step explanation:

bodmas :3

1. 42 ÷ 8 x 2 = 5.25 x 2

= 10.5

2. 24 - 10.5 + 4 = 17.5

Answer:

17.5

Step-by-step explanation:

24-(42/8)×2+4

=24-(5.25×2)+4

=24-10.5+4

=13.5+4

=17.5

Answer:

Step-by-step explanation:

You graph it

Answer:

(4,8)

Step-by-step explanation:

6x-4y=-8

11x+4y=76  eliminate y

6x+11y=-8+76

17 x=68

x=68/17=4

substitute x :

6x-4y=-8

6(4)-4y=-8

-4y=-8-24

y=-32/-4

y=8

Answer:

b

Step-by-step explanation:

Answer:

isnt it D?

Step-by-step explanation:

the two numbers are constantly the same ratio so its that right?

Answer:

112

Since you stated 112 employees work for the company, and your question was how many work for the company, it is definetly

112.

Answer:112

Step-by-step explanation:

I ain’t making no explanation I’m just giving answers

Answer:

The distance time graph shows the velocity with which Brianna traveled.

From t= 0 to t = 6:

For every 2 minutes, distance increase by one miles. She covers 3 miles in 6 minutes.

So the velocity is given by:

velocity = change of distance/ change of time

velocity = 3/6

velocity = 0.5 miles/minutes

From t=6 to t=10

As there is no change in distance, the velocity of the object is 0, it means Brianna is stationary from t=6 to t=10

From t=10 to t=16

Distance covered = 7 miles - 3 miles = 4 miles

Time taken = 16 - 10  = 6 minutes

Velocity = 0.67 miles/minutes

Answer:Brianna left home and drove 3 miles in 6 minutes. She then stopped for 4 minutes to pick up coffee. Finally, she traveled the last 4 miles in 6 minutes to arrive at her babysitting job.

Answer:

20 chickens

Step-by-step explanation:

2/8= 5/x

2 times 2.5 is 5, 8 times 2.5 is 20 the ratio is true if we write this:

2/8=5/20

Therefore, with 5 roosters, there are 20 chickens.

Answer:

The addidtive inverse is 7y²- x²y - 3xy + 7x²

( here we need to change the sign of each of the term )

Answer:

7y2-x2y+3xy+7xy

Step-by-step explanation:

I got it right

Answer:

x = ± 2[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Given

x² = 24 ( take the square root of both sides )

x = ± [tex]\sqrt{24}[/tex] = ± [tex]\sqrt{4(6)}[/tex] = ± [tex]\sqrt{4}[/tex] × [tex]\sqrt{6}[/tex] = ± 2[tex]\sqrt{6}[/tex]

Answer:

Step-by-step explanation:

Using the graph we can notice something

let's take the abscissa  -2 and -4

so we can say that :

f(-4)=g(-2)

wait we khow that g(x)=f(k*x)

so x= -2 then let's replace it in the expression : f(k*x)

we get f(-4)=g(-2)=f[k*(-2)]

let's solve the equation: -2k = -4

                                               k = -4/-2

                                                k=2

so finally we get k=2

let's check :

from the graph we get :

we have (-1)*2 = -2

so it is true

Answer:

Option D

Step-by-step explanation:

A third of a shipment of books is 28 pounds. Assuming that 'f' will be the total weight of the entire shipment, we would divide 'f' by 3 to get 28.

The answer should be D.

Answer:

The correct option is B

B) The graph will be a solid line with a y-intercept of negative four and a slope of seven. The graph will be shaded above the line.

Step-by-step explanation:

The given equation is

y ≥ 7x - 4

Consider only the equality sign:

y = 7x-4

or

y = 7x + (-4)

The general form of any linear equation is given by:

y = mx + c

By comparing, we can see that:

m = slope = 7

Secondly consider the equation

y ≥ 7x - 4

We know that generally for the signs "equal to and greater/smaller than", we use a solid line, and for the signs "greater/smaller than", we use a dashed line.

Hence, to graph this equation we'll use a solid line.

Thirdly, find y intercept by putting x=0

y = 7(0) - 4

y = -4

The correct option is B

      Correct description of the given inequality will be, A solid line with y-intercept (-4) and slope 7. The graph will be shaded above the line.

 Slope form of the line is given by equation,

y = mx + b

Where 'm' = Slope of the line

b = y-intercept

For a line having equation,

y = 7x - 4

Slope = 7

y-intercept = -4

If the line is an inequality, properties of the inequality will be defined by,

By these properties,

inequality y ≥ 7x - 4 will show,

  Therefore, the graph will be a solid line with y-intercept (-4) and slope 7. The graph will be shaded above the line.

Learn more,

https://brainly.com/question/24166731

Answer:

B. F(52)

Step-by-step explanation:

In the Fibonacci sequence, each term is found by adding the previous two terms together.  This means that f(3) = f(2)+f(1), f(4) = f(3)+f(2), etc.

If we add f(50)+f(51), this would give us f(52).

Answer:

B

Step-by-step explanation:

B is the answer

Answer:

336.8 cubic meter or 336.8m³

Step-by-step explanation:

In other to solve the above question we would be using the volume of a square based pyramid.

The formula for the volume of a square based pyramid is

1/3a²h

In the above question we are given the following values as:

Side length of the base = a = 11.1 m

Height of the pyramid = h = 8.2m

Volume of the square based pyramid = 1/3 × 11.1² × 8.2

= 336.774 cubic meter or 336.774 m³

Approximately to the nearest tenth = 336.8 cubic meter or 336.8m³

Answer:

10

Step-by-step explanation:

3/5 is 0.6 and 10 time 0.6 is 6.

hope this helps