tìm 2 số liên tiếp biết tích của chúng là 9120

Answer:

w/2 = 7.5/5

3kg

Step-by-step explanation:

Remaining question below:

Which proportion could Maddy use to model this situation?

a. w/2 = 7.5/5

b. w/7.5 = 5/2

Solve the proportion to determine the weight of a 2 liter jug.

_____kg

5 liters jug of sport drink weighs 7.5kg

2 liters jug of sport drink will weigh x kg

Find w

Ratio of weight to volume

7.5kg : 5liters=7.5/5

wkg : 2 liters=w/2

Equates the ratio

7.5 / 5 = w / 2

Cross product

7.5*2=5*w

15=5w

Divide both sides by 5

3=w

w=3kg

Therefore, weight of the 2liters jug of sport drink is 3kg

Answer:

The answer is 3kg!

Step-by-step explanation:

Answer:

x = 2y + 6

Step-by-step explanation:

-x + 2y = -6

-x = -6 - 2y

x= 6 + 2y

x = 2y + 6

Answer:

2184 different combinations

Step-by-step explanation:

To find how many different combinations are possible, multiply all of the values:

3 * 13 * 7 * 4 * 2 = 2184 different combinations

Answer:

2,184 different skateboards.

Step-by-step explanation:

You would have to multiply

3 x 13 x 7 x 4 x 2 = 2184

If it helps you then please mark it as brainliest!

Answer:

$4.20

Step-by-step explanation:

y = .05x (using stat on calculator)

y = .05(84)

$4.20

Answer:

The remaining dimensions of the triangle are [tex]A \approx 31.7368^{\circ}[/tex], [tex]C \approx 18.2632^{\circ}[/tex] and [tex]a \approx 45.3201[/tex].

Step-by-step explanation:

As angle B is an obtuse angle, Angle C can be obtained by means of the Law of Sine:

[tex]\frac{b}{\sin B}=\frac{c}{\sin C}[/tex]

[tex]\sin C = \frac{b}{c}\cdot \sin B[/tex]

[tex]C = \sin^{-1}\left(\frac{b}{c}\cdot \sin B \right)[/tex]

Where:

[tex]b[/tex], [tex]c[/tex] - Measures of triangle sides, dimensionless.

[tex]B[/tex], [tex]C[/tex] - Measures of angles, measured in degrees.

If [tex]b = 27[/tex], [tex]c = 66[/tex] and [tex]B =130^{\circ}[/tex], then:

[tex]C = \sin^{-1}\left(\frac{27}{66}\cdot \sin 130^{\circ} \right)[/tex]

[tex]C \approx 18.2632^{\circ}[/tex]

Given that sum of internal angles in triangles equals to 180º, the angle A is now determined:

[tex]A = 180^{\circ}-B-C[/tex]

[tex]A = 180^{\circ}-130^{\circ}-18.2632^{\circ}[/tex]

[tex]A \approx 31.7368^{\circ}[/tex]

Lastly, the length of the side [tex]a[/tex] is calculated by Law of Cosine:

[tex]a = \sqrt{b^{2}+c^{2}-2\cdot b\cdot c\cdot \cos A}[/tex]

[tex]a =\sqrt{27^{2}+66^{2}-2\cdot (27)\cdot (66)\cdot \cos 31.7368^{\circ}}[/tex]

[tex]a \approx 45.3201[/tex]

The remaining dimensions of the triangle are [tex]A \approx 31.7368^{\circ}[/tex], [tex]C \approx 18.2632^{\circ}[/tex] and [tex]a \approx 45.3201[/tex].

Answer:

The original price was 780.09

Step-by-step explanation:

Let x be the price of the computer

The sales tax is x* .08

The total price is x + .08x = 1.08x

This is equal to 842.50

1.08x = 842.50

Divide each side by 1.08

1.08x/1.08=842.50/1.08

x =780.09

The original price was 780.09

Answer:

Part A

16y = 7x + 101

Part B

3y = 5x + 30

Part C

y = -5x/3

Part D

x = -3

Answer:

[tex] 5^{-3} = \dfrac{1}{125} [/tex]

Step-by-step explanation:

Rule of negative exponents:

[tex] a^{-n} = \dfrac{1}{a^n} [/tex]

This problem:

[tex] 5^{-3} = \dfrac{1}{5^3} = \dfrac{1}{5 \cdot 5 \cdot 5} = \dfrac{1}{125} [/tex]

Answer:

[tex]\boxed{\frac{1}{125}}[/tex]

Step-by-step explanation:

[tex]5^{-3}[/tex]

Apply rule:

[tex]\displaystyle a^{-b}=\frac{1}{a^b}[/tex]

[tex]\displaystyle 5^{-3}=\frac{1}{5^3}= \frac{1}{125}[/tex]

Answer:

1)He will use 144 squares in his design

2)He will use 36 squares in his design

Step-by-step explanation:

1) There is 12 squares going horizontally and 12 squares going vertically meaning the total amount of squares needed is:

12 x 12 = 144 inch squares

2) If he wants to cover a smaller box that is 1/2 feet big than he would take the square of 1/2 which is 1/4 and multiple it to the original answer to get the answer of the new question

144 x (1/4) = 36 inch squares

Answer:

(3,0) lie between quadrants I and II. (-9, -3) lie in quadrant III

Answer:  D: x = (-9, 0) U (0, 4) U (4, 8)

Step-by-step explanation:

Line 1:      y = -2               where      -9 < x < 0

Line 2:     y = 2)x + 1        where       0 < x < 4

Line 3:    y = -(1/2)x + 6    where       4 < x < 8

Domain represents the x-values.  Since all of them are open dots, the intervals are strictly less than (<).

-9 < x < 0   and   0 < x < 4   and   4 < x < 8 is the union of these intervals

-9 < x < 0   U   0 < x < 4   U   4 < x < 8

Interval Notation: D: x = (-9, 0) U (0, 4) U (4, 8)

Answer:

1st piece:  

✔ –10 < x < 0

2nd piece:  

✔ 0 < x < 4

3rd piece:  

✔ 4 < x < 8

Step-by-step explanation:

Answer:

2.35 x 10^11

Step-by-step explanation:

The formula for finding the nth term in a geometric sequence is ar^n-1.

a = 3, r = 23, and n = 9:

3(23)^9-1 = 3(23)^8 = 2.35 x 10^11.

Answer:

Frankie will have created 161 drawings.

Step-by-step explanation:

Answer:

161

Step-by-step explanation:

your welcome

Answer:

1. (x+9)^2 = 89

2. (Choice D) D x = − 9 ± 89 x=−9± 89 ​ x, equals, minus, 9, plus minus, square root of, 89, end square root

Step-by-step explanation:

x^2 - 6 = 2 - 18x

1) rewrite the equation by completing the square

x^2 - 6 = 2 - 18x

x^2 + 18x = 2+6

x^2 + 18x = 8

Find the half of the coefficient of x and square it

18x

Half=9

Square half=(9)^2

=81

Add 81 to both sides

x^2 + 18x = 8

x^2 + 18x + 81 = 8 + 81

x^2 + 18x + 81 = 89

(x+9)^2 = 89

Check:

(x+9)(x+9)=89

x^2 + 9x + 9x + 81=89

x^2 + 18x +81 =89

2) (x+9)^2 = 89

√(x+9)^2 = √89

x+9=√89

x=√89 - 9

It can be rewritten as

x= -9 ± √89

(Choice D) D x = − 9 ± 89 x=−9± 89 ​ x, equals, minus, 9, plus minus, square root of, 89, end square root

w = 1ft

l = 4ft

P  =2w + 2l

2w = l/2 => l = 4w

10ft = 2w + 2×4w

10ft = 2w + 8w

10ft = 10w

w = 10ft/10

w = 1 ft

l = 4w

l = 4×1ft

l = 4 ft

Answer:

length = 4 ft

Width = 1 ft

Step-by-step explanation:

Let length = l ft

Width = w feet

[tex]\frac{1}{2}l = 2w\\\\l = 2w*2\\\\l = 4w[/tex]

Perimeter = 10 ft

2*(l +w)= 10

2*( 4w + w ) = 10

2*5w = 10

10w = 10

Equation:  10w = 10

Divide both sides by 10

10w/10 = 10/10

w = 1 ft

Plug in the value of w in l = 4w

l = 4 *1

l = 4 ft

The image of the transformation is missing so i have attached it;

Answer:

Option C - The transformation is not isometric because the lengths did not remain the same.

Step-by-step explanation:

Transformation means that it preserves the length of  the original figure which means that it is a distance preserving transformation.

Now, from the image of the question attached, the two figures can be said to be isometric if they are congruent.

Now, for the figure displaying the transformation we can see that the size of the original figure has changed.

We can see that the figure is dilated by a scale factor of 2 as each of the sides of the polygon which is a trapezoid is increased by a factor of 2.

Due to the fact that the lengths of sides of the original figure and transformed figure are are not same, we can say that the lengths are not preserved.

Thus, the transformation is not isometric because the lengths did not remain the same.

Answer:

C : It is not isometric because the side lengths did not remain the same.

Credits go to the person above me.

;)

Step-by-step explanation:

EDGE 2021

Answer:

B

Step-by-step explanation:

The association property of multiplication states that if we have three numbers such as:

[tex]a\cdot b\cdot c[/tex]

Then the order of parentheses will not matter. In other words:

[tex](a\cdot b)\cdot c=a\cdot (b\cdot c)[/tex]

For instance:

[tex](3\cdot4)\cdot5=3\cdot(4\cdot5)[/tex]

For the choices, it must have at least three terms. Thus, eliminate A.

It must also have parentheses. Eliminate D.

Choice C represents the distributive property, where you distribute a factor into the expression.

Thus, the correct answer is choice B.

And as previously mentioned, the order of the parentheses does not make the product any different.

[tex]6*(9*1)=6*(9)=54\\(6*9)*1=(54)*1=54[/tex]

Answer:

The correct answer choice is B.

Step-by-step explanation:

The digits should still be in order, so A is incorrect. 6 * 91 does not even equal 69 * 1!

B shows that be can multiply 6 * 9 * 1 in any order. This means we can place a pair of parentheses around any of these numbers and the answer will still be the same.

C is incorrect. We want an equation that helps give us a better understanding of MULTIPLICATION, not ADDITION. The equation is also false.

Finally, D illustrates the commutative property of multiplication- you can multiply your numbers in any order and it will still have the same value. Put simply, it's incorrect.

Let me know if you need more elaboration!

Answer:

The correct option is;

C) 6554

Step-by-step explanation:

The given data are;

Day,   Amount of change in Bacteria

1,            2

2,          -8

3,           32

4,          -128

Given that the data follows a geometric sequence, we have;

The first term of the series = 2, the common ratio = -4, the sum of a geometric progression is given by the following formula;

[tex]S_n = \dfrac{a \times \left (r^n - 1\right )}{r - 1}[/tex]

Which gives;

[tex]S_7 = \dfrac{2 \times \left ((-4)^7 - 1\right )}{(-4) - 1} = \dfrac{2 \times \left (-16384- 1\right )}{-4 - 1} = \dfrac{2 \times \left (-16385\right )}{-5} = 6554[/tex]

Therefore, the correct option is C) 6554.

Answer:

To find the median you cross off the first few numbers and the last few until you get to the middle then when you get the middle number that will be your median

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

It's the middle value of a list of numbers arranged in order.

For example the median of the list 1 2 3 4 5 is 3.

If there are an even number of values, the median is the mean of the middle two. For example:

1 3 4 5 7 9:

The middle 2 numbers are 4 and 5 so

the median is  (4 + 5) / 2 = 4.5

Hi there! :)

Answer:

[tex]\huge\boxed{(-1, -10.5)}[/tex]

Use the midpoint formula to solve for the midpoint:

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

Plug in the points:

[tex](x_{m}, y_{m}) = (\frac{-5+3 }{2} , \frac{-13 -8}{2})[/tex]

Simplify:

[tex](x_{m}, y_{m}) = (\frac{-2 }{2} , \frac{-21}{2})[/tex]

[tex](x_{m}, y_{m}) = (-1 , -10.5)[/tex]

Answer:

-2, 3

Step-by-step explanation:

To find the coordinates of B, we need to understand the translation that has taken place. In a translation, each point of a figure is moved the same distance and in the same direction.

In this case, point A(5, 1) has been translated to point A'(6, -2). To find the distance and direction of the translation, we subtract the coordinates of A from the coordinates of A': Translation Vector [tex]= (6 - 5, -2 - 1) = (1, -3)[/tex] The translation vector represents the change in x and y coordinates between the original figure and its translated image.

Since B' has coordinates (-1, 0), we can apply the translation vector to find the coordinates of B as follows: B = B' - Translation Vector B [tex]= (-1, 0) - (1, -3)[/tex]  B [tex]= (-1 - 1, 0 - (-3)) B = (-2, 3)[/tex] So, the coordinates of B are (-2, 3).

To know more about Translation Vector visit:

https://brainly.com/question/29027060

#SPJ2

Answer:

3 Over 15

Step-by-step explanation:

i got 100.

Answer:

yes

Step-by-step explanation:

it is c,

Answer:

375/ 1000

Step-by-step explanation:

it is technically correct

Step-by-step explanation:

Convert 0.375 to a simplified fraction by setting up our equation like this:

[tex]\frac{375}{1000} =\frac{x}{y}[/tex]

Then, we find the GCF for both numbers, which is 125. So, we divide both numbers by 125.

[tex]\frac{375}{125}=3\\\\\frac{1000}{125}=8[/tex]

Our simplified fraction: 3/8.

To find more equivalent fractions, multiply the numerator and denominator by the same number (example: 2, 3).

Some fractions equal to 0.375:

[tex]\frac{3}{8}, \frac{6}{16}(*2), \frac{9}{24} (*3)[/tex]

I hope I've helped you out!

Answer:

Two solutions.

[tex]x = 8, -6[/tex]

Step-by-step explanation:

Given the equation:

[tex]\left|x-1\right|=7[/tex]

To find:

Number of solutions to the equation.

Solution:

First of all, let us learn about modulus function.

[tex]|x|=\left \{ {{x\ if\ x>0} \atop {-x\ if\ x<0}} \right.[/tex]

i.e. Modulus function changes to positive by adding a negative sign to the negative values.

It has a value equal to [tex]x[/tex] when [tex]x[/tex] is positive.

It has a value equal to -[tex]x[/tex] when [tex]x[/tex] is negative.

Here, the function is:

[tex]|x-1|=7[/tex]

So, two values are possible for the modulus function:

[tex]\pm(x-1)=7[/tex]

Solving one by one:

[tex]x-1 = 7\\\Rightarrow x =8[/tex]

[tex]-(x-1) = 7\\\Rightarrow -x+1=7\\\Rightarrow x = -6[/tex]

So, there are two solutions, [tex]x = 8, -6[/tex]

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 Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

Factor [tex]2x^3-3x^2-17x+30[/tex]

[tex]2x^3-3x^2-17x+30[/tex]

= [tex]( x - 2) ( x + 3) ( 2x - 5)[/tex]

So your answer would be : [tex]( x - 2) ( x + 3) ( 2x - 5)[/tex]

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

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If this helped you, could you maybe give brainliest..?

Also Have a great day/night!

❀*May*❀

Answer:

8748

Step-by-step explanation:

The formula for the nth term in a geometric sequence is ar^n-1.

We can find the first term, as a(3)^4-1 = 108 which also means that 27a = 108.

a = 4.

We find the 8th term using this:

(4)(3)^8-1 = (4)(3)^7 = 8748.

Answer:

x=96

Step-by-step explanation:

3/8x=36

Multiply both sides by 8/3.

[tex](\frac{8}{3}) (\frac{3}{8} x)=(\frac{8}{3} )[/tex]

x  =96

Answer:

96

Step-by-step explanation:

36/3/8=36*8/3.

Therefore, 36*8 is 288,

Then you divide 3 from 288=288/3=96

The answer is 96.

Hopefully this answer helps!!!

Answer:

362880 ways

Step-by-step explanation:

Given

10 digits

Required

Number of 10 digits that can be formed if no repetition and 2 must always start;

Since digit 2 must always start and no repetition is allowed, then there are 9 digits left

Digit 2 can only take 1 position

9 digits can be arranged without repetition in 9! ways;

Calculating 9!

[tex]9! = 9 * 8 *7 * 6 * 5 * 4 * 3 * 2 * 1[/tex]

[tex]9! = 362880[/tex]

Number of arrangement  = 1 * 362880

Number of arrangement  = 362880 ways

Answer:

AB= 45 --> In 1st space untill 5th space

So, 45/5 = 9 unit each space

AJ ?

Using 2 space 1st until 2nd

so, 9 unit × 2 = 18 unit

I hope this helps^_^

Hey there! I'm happy to help!

First, let's find the length of GA. We can just subtract all of the other sides from the perimeter to find this.

172-56-56-35=25

We see that E'M' is 14 and EM is 35.

35/14=2.5

This means that all of the sides on the big pinball machine are 2.5 times bigger than those of the smaller one.

So, we take the length of GA and then divide it by 2.5 to see how big G'A' is.

25/2.5=10

Therefore, the length of G'A' is 10 inches.

I hope that this helps! Have a wonderful day! :D