How many times smaller will a number become if is it decreased by 20%?

Answer:

The solution to the system of equations be:

[tex]x=-\frac{71}{22},\:y=\frac{21}{22}[/tex]

Step-by-step explanation:

Given the system of equation

[tex]\begin{bmatrix}-x+5y=8\\ 3x+7y=-3\end{bmatrix}[/tex]

Multiply -x+5y=8 by 3:   -3x+15y=24

[tex]\begin{bmatrix}-3x+15y=24\\ 3x+7y=-3\end{bmatrix}[/tex]

Add the equations

[tex]3x+7y=-3[/tex]

[tex]+[/tex]

[tex]\underline{-3x+15y=24}[/tex]

[tex]22y=21[/tex]

solving 22y=21 for y

[tex]22y=21[/tex]

Divide both sides by 22

[tex]\frac{22y}{22}=\frac{21}{22}[/tex]

Simplify

[tex]y=\frac{21}{22}[/tex]

For -3x+15y=24  plug in y = 21/22

[tex]-3x+15\cdot \frac{21}{22}=24[/tex]

Subtract 15 · 21/22 from both sides

[tex]-3x+15\cdot \frac{21}{22}-15\cdot \frac{21}{22}=24-15\cdot \frac{21}{22}[/tex]

[tex]-3x=\frac{213}{22}[/tex]

Divide both sides by -3

[tex]\frac{-3x}{-3}=\frac{\frac{213}{22}}{-3}[/tex]

[tex]x=-\frac{71}{22}[/tex]

The solution to the system of equations be:

[tex]x=-\frac{71}{22},\:y=\frac{21}{22}[/tex]

Answer:

$5.50 per pound

Step-by-step explanation:

8.25 / 1 1/2

5.50 per pound

Hope this Helps!!!

Answer: 5.5

Step-by-step explanation:

8.25 divided by 1.5

Answer:

2x−y=5

Step-by-step explanation:

Answer:

7 granola bars

Step-by-step explanation:

560 calories in 4 bars

560/4 = 140 per bar

980/140 = 7 bars

Answer:

The probability that each player will receive three picture cards = 0.0324

Step-by-step explanation:

As given,

A deck of 52 cards contains 12 picture cards

Remaining card = 52 - 12 = 40

So,

Total number of ways in which 12 picture card is distributed = [tex]\frac{12!}{3! 3! 3! 3!}[/tex]

Now,

The Total number of ways in which Remaining cards are distributed = [tex]\frac{40!}{10! 10! 10! 10!}[/tex]

So,

Total number of ways of getting 3 picture card and remaining card = [tex]\frac{12!}{3! 3! 3! 3!}[/tex]× [tex]\frac{40!}{10! 10! 10! 10!}[/tex]

= [tex]\frac{12! 40!}{(3!)^{4} (10!)^{4} }[/tex]

Now,

Total number of ways to distribute 52 cards so that each people get 13 card = [tex]\frac{52!}{13! 13! 13! 13!} = \frac{52!}{ (13!)^{4} }[/tex]

∴ The probability = [tex]\frac{\frac{12! 40!}{(3!)^{4} (10!)^{4} }}{\frac{52!}{(13!)^{4} }}[/tex]

                            = [tex]\frac{12! 40!}{(3!)^{4} (10!)^{4} }[/tex]×[tex]\frac{(13!)^{4} }{ 52! }[/tex]

                           = [tex]\frac{12! 40!}{(3!)^{4} (10!)^{4} }[/tex]×[tex]\frac{(13.12.11.10!)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41.40! }[/tex]

                           = [tex]\frac{12!}{(3!)^{4} }[/tex]×[tex]\frac{(13.12.11)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41}[/tex]

                           = [tex]\frac{479,001,600}{(6)^{4} }[/tex]×[tex]\frac{(1716)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41}[/tex]

                           = 0.0324

∴ we get

The probability that each player will receive three picture cards = 0.0324

Answer: 4

Step-by-step explanation:

Answer:

C. 3.33 moles

Step-by-step explanation:

Ammonia decomposes

[tex]2NH_3\rightarrow N_2+3H_2[/tex]

We have to find the moles of hydrogen formed in 2.22 moles of ammonia.

From the reaction

2 moles of ammonia gives 3 moles of hydrogen

1 mole of ammonia  produce hydrogen=3/2 moles

2.22 moles of ammonia produces hydrogen=[tex]\frac{3}{2}\times 2.22[/tex] moles

Number of moles of hydrogen formed by decomposition of 2.22 moles of ammonia

=[tex]\frac{6.66}{2}=3.33[/tex]moles

Hence, 3.33 moles of hydrogen are formed in 2.22 moles of ammonia.

Option C is true.

C. 3.33 moles

Answer:

9,4

Step-by-step explanation:

Answer:

y = -9

Step-by-step explanation:

a line perpendicular to the x-axis is a horizontal line (which means the slope is zero) which pass through the y-axis at -9

Answer:

10.4

hope it's helpful ❤❤❤

THANK YOU❤

Answer:

[tex]cos(33^{\circ})[/tex]

Step-by-step explanation:

Given

[tex]sin(57^{\circ})[/tex]

Required

Determine an equivalent expression

In trigonometry:

[tex]sin(\theta)= cos(90^{\circ} - \theta)[/tex]

In [tex]sin(57^{\circ})[/tex]

[tex]\theta=57^{\circ}[/tex]

Substitute [tex]57^{\circ}[/tex] for [tex]\theta[/tex]

in [tex]sin(\theta)= cos(90^{\circ} - \theta)[/tex]

[tex]sin(57^{\circ})= cos(90^{\circ} - 57^{\circ})[/tex]

[tex]sin(57^{\circ})= cos(33^{\circ})[/tex]

Hence, the equivalent expression is: [tex]cos(33^{\circ})[/tex]

Answer:

A  linear function is a straight line and a non-linear function is not a straight line.

Step-by-step explanation:

Answer:

Over x = 4

Step-by-step explanation:

In its current configuration, our triangle only has vertical symmetry - we can only flip it onto itself if it's over a verticle line. This immediately eliminates our two horizontal lines from the equation: y = 4 and the x axis.

That leaves us chosing between the y axis or the line x = 4. Now that we know the type of symmetry this triangle has (vertical), we need to figure out where to put the line of symmetry. The y axis won't do, since a reflection over that will move the triangle to the far left of the page. So it must be the line x = 4.

Answer: 16

Step-by-step explanation:

The area of a rectangle can be found by multiplying its length and its height. You may consider the breadth as just another word for length.

A = L * W

Since we know what are area is, we may substitute it into the equation.

144 = L * W

We also know what our width (our breadth) is, so we will also substitute it in

144  = L * 9

To solve for our length, we divide both sides by 9 to isolate L

[tex]\frac{144}{9} = \frac{L * 9}{9}[/tex]

We see that the two 9's on the right hand side cancel out to give us L

[tex]\frac{144}{9} = 16[/tex]

So our L is equal to 16.

We can check our work by multiplying the length and breadth together again to see if they give 144 as a product, which they do.

Answer:

Lower quartile = 65

Upper quartile = 95

Median = 80

Step-by-step explanation:

✔️Lower quartile = the value at the beginning of the edge of the rectangular box = 65

✔️Upper quartile = the value at the end of the edge of the rectangular box = 95

✔️Median = the value indicated by the vertical line that divides the box into two = 80

Step-by-step explanation:

3(9e+8) is the correct answer of this qn

Answer:

Step-by-step explanation:

9.74 - 9.87 = -0.13

0.13/9.87 ≈ 0.013 = 1.3%

Price decreased by 1.3%

Answer:

24

Step-by-step explanation:

you can get the answer from the attachment

The midsegment of a trapezoid divides the trapezoid into equal parts.

The length of the midsegment of MNOP is 24

The lengths of the base are given as:

[tex]\mathbf{MN = 25}[/tex]

[tex]\mathbf{OP = 23}[/tex]

Let the midsegment be x.

So, we have:

[tex]\mathbf{x=\frac{1}{2}(MN + OP)}[/tex]

Substitute values for MN and OP

[tex]\mathbf{x=\frac{1}{2}(25 + 23)}[/tex]

[tex]\mathbf{x=\frac{1}{2}(48)}[/tex]

[tex]\mathbf{x=24}[/tex]

Hence, the midsegment of MNOP is 24

Read more about midsegments of trapezoids at:

https://brainly.com/question/7511906

Answer: See the attached image below. I've filled in the table with the proper values.

Row 2: AFB = 36, BFC = 54, EFA = 144

Row 3: AFB = 40, BCF = 50, DFE = 40

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

Explanation:

angles AFB and BFC add to 90 degrees since they form a right angle.

In row 1, we see that 48+42 = 90

Angles AFB and DFE are congruent since they are vertical angles. For row 1, we have both of these angles equal to 48 degrees.

Also for row 1, we have angles BFC and CFD add to 42+90 = 132, which is exactly the measure of angle BFD. This angle is congruent to angle EFA because they are vertical angles. So that's how angle EFA is 132.

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

Now onto row 2

We'll use the ideas of row 1 to work our way backwards to fill in the missing items.

We're given DFE is 36 degrees. This must mean that AFB is also 36 degrees. These angles are vertical angles.

Then we'll use the idea that (angleAFB)+(angleBFC) = 90 to find that

angle BFC = 90 - (angle AFB) = 90 - 36 = 54

Lastly for this row, we can say,

angle BFD = (angle BFC) + (angle CFD) = 54 + 90 = 144

angle EFA = angle BFD = 144

To summarize the missing items of row 2, we have...

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

Now onto row 3. We use the same tricks (more or less) that were used on row 2.

If angle EFA is 140, then so is angle BFD. These are vertical angles.

(angle BFC) + (angle CFD) = angle BFD

(angle BFC) + 90 = 140

angle BFC = 140-90

angle BFC = 50

This in turn lets us say,

(angle AFB) + (angle BFC) = 90

angle AFB = 90 - (angle BFC)

angle AFB = 90 - 50

angle AFB = 40

angle DFE = angle AFB = 40

To summarize the missing pieces we found:

All of the values are filled in the table shown below.

Answer:

Net Mass = 520 g

Step-by-step explanation:

Given:

Waste = 240 g

Gross mass = 760 g

Find:

Net Mass

Computation:

Net Mass = Gross mass - Waste

Net Mass = 760 g - 240 g

Net Mass = 520 g

Answer:

Step-by-step explanation:

h and r are the height and radius of the tank, respectively.

volume = πr²h

πr²·9 = 572π

r = √(572π/(9π)) = √(572/9)

diameter = 2r ≅ 15.9 ft

Answer:

The third term of a proportional is: 84

Step-by-step explanation:

We know that if a, b, c and d are in proportion, then:

a × d = b × c

In our case, we are given the first, second, and fourth terms are 24, 36, 126.

a = 24

b = 36

d = 126

and we have to determine the third term 'c'.

as we know that  if a, b, c, and d are in proportion, then:

a × d = b × c

Thus,

substituting a = 24, b = 36, d = 126 to determine

24 × 126 = 36 × c

c = (24 × 126)/36

c = 3024/36

c = 84

Thus, the third term of a proportional is: 84

Answer:

2×2+5×-3= -11

Step-by-step explanation:

que te pjefa ayudar

Answer:

n = 40

Step-by-step explanation:

A fraction can be equivlent to another fraction, right? so 1/3 = ?/600 - 3*200 = 600 and 1*200 = 200 so 5n/600 should be equal to 200/600 and since 5n = 200 we divide by 5 on both sides and get n = 40