what is the rule for solving any equation?

A. just look at it and it will be solved
B. always add the numbers
C. Do the inverse or opposite operations
D. the is no rule for solving equations

Answer:

1kg of apple : €0.50

1kgof grapes : €1.20

Step-by-step explanation:

15kg of apples and 40kg of grapes costs €38

15kg of apples and 9kg of grapes costs €22.50

38 - 22.50 = 15.5

40 - 9 = 31

15.5 ÷ 31 = 0.5 ( 1kg of grapes )

0.5 × 3 = 1.5

7.5 - 1.5 = 6

6 ÷ 5 = 1.2 ( 1kg of apples )

Answer:

If the numbers went from 1-5 then maybe 15 at least I think or more. I don't know it is a prediction.

Step-by-step explanation:

9514 1404 393

Answer:

  24.5 kJ

Step-by-step explanation:

Kinetic energy is given by the formula ...

  KE = 1/2mv² . . . . . where m = mass

The gazelle's kinetic energy is ...

  KE = 1/2(40 kg)(35 m/s)² . . . . . where m is meters

  = 24,500 J . . . . . . 1 J = 1 kg·m²/s²

  = 24.5 kJ . . . . . . . 1000 J = 1 kJ

Answer:

Sure thing. Which question do you need help with? ill do the best i can.

Answer:

x > -2

Step-by-step explanation:

[tex]-\frac{x}{2} + \frac{3}{2} < \frac{5}{2} \\-\frac{x}{2} < \frac{2}{2} \\-\frac{x}{2} < 1\\-x < 2\\-\frac{x}{-1} < \frac{2}{-1} \\x > -2[/tex]

See picture of graphed number line below:

Answer:

hm the 8 per hour seems more accurate because if you multiply or divide 8 could almost get you to 120

Step-by-step explanation:

Answer:

what do you need help on?

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

a squared + b squared = c squared

plug it in to get

4 root 2 squared +b squared = 9 squared

(4 root 2)(4 root 2)=32

and 9 squared is 81

so the equation is

32+b squared = 81

subtract 32

b squared = 49

square root both sides

b=7

The length of the  missing side is [tex]3\sqrt{5}[/tex]

The square of the hypotenuse is equal to the sum of the square of the other two sides

From the given diagram;

Get the unknown side "x"

[tex]81 = 32 + x^2\\x^2 = 81 - 36\\x^2 = 45\\x = 3\sqrt{5}[/tex]

Hence the length of the  missing side is [tex]3\sqrt{5}[/tex]

Learn more on pythagoras theorem here: https://brainly.com/question/343682

Answer:

Possible dimensions are [tex]r=4\,\,cm\,,\,h=4\,\,cm[/tex] and [tex]h=16\,\,cm\,,\,r=2\,\,cm[/tex]

Step-by-step explanation:

Given:

Volume of a cylinder is [tex]64\pi\,\,cm^3[/tex]

To find: Dimensions of a cylinder

Solution:

Let [tex]r,h[/tex] denote height of a cylinder.

Volume of a cylinder = [tex]\pi r^2h[/tex]

Therefore,

[tex]64\pi=\pi r^2h\\64=r^2h\\4^2\,4=r^2h[/tex]

One possible dimension can be [tex]r=4\,\,cm\,,\,h=4\,\,cm[/tex].

Also, [tex]64=r^2h[/tex] can be written as [tex]16(2^2)=hr^2[/tex]

So, another possible dimension can be [tex]h=16\,\,cm\,,\,r=2\,\,cm[/tex]

Answer

The corresponding angles of the triangles are congruent

The image is a reduction of the pre-image

Neither the dilation nor the rotation change the shape of the triangle

Explanation:

For shapes to be similar:

1- there should be a ratio between the sides

2- angles in first shape should be congruent to angles in second shape

Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes

Let's check the choices:

1- The corresponding sides of the triangles are congruent:

This option is incorrect as dilation changes the lengths of the sides

2- The corresponding angles of the triangles are congruent:

This option is correct as neither dilation nor rotation alters the measures of the angles

3- The corresponding sides of the image are 5 times as long as those of the pre-image:

This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image

4- The image is a reduction of the pre-image:

This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced

5- Neither the dilation nor the rotation change the shape of the triangle:

This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)

6- The rotation reduces the size of the triangle:

This option is incorrect as rotation does not alter the size of the shape. It only changes its position

Hope this helps :)

Options 2, 4 and 5 are the correct answer.

Given that, a triangle is dilated by a scale factor of 1/5 and then rotated 90 degrees clockwise about the origin.

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.

Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes

Let's check the choices:

1- The corresponding sides of the triangles are congruent:

This option is incorrect as dilation changes the lengths of the sides.

2- The corresponding angles of the triangles are congruent:

This option is correct as neither dilation nor rotation alters the measures of the angles.

3- The corresponding sides of the image are 5 times as long as those of the pre-image:

This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image.

4- The image is a reduction of the pre-image:

This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced.

5- Neither the dilation nor the rotation change the shape of the triangle:

This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths).

6- The rotation reduces the size of the triangle:

This option is incorrect as rotation does not alter the size of the shape. It only changes its position.

Therefore, options 2, 4 and 5 are the correct answer.

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Answer:

(3). 500; (4) 60

Step-by-step explanation:

Answer: the 3rd one is the only true one because there are 7 boys and 2 girls

Answer:

Step-by-step explanation:

See the steps

Answer:

x=5

x=−5

Step-by-step explanation:

5x^2+8 =133

Subtract 8 from both sides.

5x^2=133−8

Subtract 8 from 133 to get 125.

5x^2=125

Divide both sides by 5.

x^2=125/5

Divide 125 by 5 to get 25.

x^2=25

Take the square root of both sides of the equation.

x=5

x=−5

Answer:

(2,7)

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

1) Find the slope with the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] (in which [tex]m[/tex] represents the slope). The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, and the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point. Thus, substitute the x and y values of the given points (6, -2) and (-3, 1) into the appropriate places in the formula and solve:

[tex]m = \frac{(1)-(-2)}{(-3)-(6)} \\m = \frac{1+2}{-3-6} \\m = \frac{3}{-9} \\m = -\frac{1}{3 }[/tex]

Thus, the slope is [tex]-\frac{1}{3}[/tex].

Answer:

see below, I hope it's helpful

Step-by-step explanation:

Simplifying expressions...

1. use as many steps as you need, don't take shortcuts or try to do too much in one step... only touch each item in the expression once at most at each step

2. Follow PEMDAS

3. consider some of the rules of exponents: (a/b)^n = (a^n)/(b^n) and (x)^(-n) = 1/(x^n) and a^(b^c) = a^(bc)

examples x^(-4) = 1/(x^4)

                3^(-x) = 1/(3^x)

                (2/x)^(-n) = (1/(2/x))^n = (x/2)^n

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

so for example

2^(-x) - (x)^(-n) + (-n)^(x^(-2)) touch each part only once, do what you can

1/(2^x) - 1/(x^n) + (-n)^(-2x) the third part needed two steps, so be it

1/(x^n) - 1/(x^n) + (1/((-n)^2x)

Answer:

Step-by-step explanation:

Reading rate is y pages per x minutes and proportional relationship formula is:

The coefficient is:

Let's verify if the given numbers fit into the same relationship:

We confirm all same and it means k = 2/3

Required equation is:

This represents that Michael reads 2 pages per 3 minutes and for x minutes he reads 2/3x pages

Answer:

Step-by-step explanation:

-8x³y²(x²-4y) = -8x³y²x² + 8x³y²4y

= -8x³⁺⁵y² + 32x³y²⁺¹

= -8x⁸y² + 32x³y³

Answer:

5.692 × 103.

Step-by-step explanation:

Answer:

5.692 × 10^3

Step-by-step explanation:

hope it helps you

Answer:

0.16

Step-by-step explanation:

Answer:

(1,3)

Step-by-step explanation:

The image of (1, -3) is (1, 3).

There are two ways of reflection.

Along x-axis:

(x, y) – (x, -y)

Along y-axis:

(x, y) - (-x, y)

We have,

Point = (1. -3)

Reflected over the x-axis.

So,

(1, -3) = (1, -(-3)) = (1, 3)

Thus,

(1, 3) is the reflected image.

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Answer:

-8x-28 is after the distributive prop simplified

Step-by-step explanation:

4(-2x-7)

(4×-2x)-(4×-7)= -8x-28

Answer:

9/10

Step-by-step explanation:

9/10 is equal to .9 and 5/6 is equal to .833333 and .9 is greater than .833333

Answer: 5/6

Step-by-step explanation:

because with fractions if the bottom is less than it is more than a number bigger tha it

Answer:

b=40/63

Step-by-step explanation:

b= 7. 3b+-4

multiply both sides by 10

b*10=7.3b*10-4*10

refine

b*10=7.3b-40

subtract 7.3b from both sides

b*10-7.3b=7.3b-40-7.3b

simplify

-63b=-40

divide both sides by -63

-63b/-63=-40/-63

simplify

b=40/63

sorry for the lengthy explanation

hope this helps :) have a nice day !! (please let me know if this was wrong)

Answer:

the answer is f(n)=14.5−1.4n

Step-by-step explanation:

Hope this helps

The function models the n term of the given sequence is f(n)=14.5+1.4(n-1). Therefore, option B is the correct answer.

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is an=a+(n-1)d

The given arithmetic sequence is 14.5, 13.1, 11.7, 10.3,....

Here, a=14.5 and d=14.5-13.1=1.4

Substitute a=14.5 and d=1.4 in an=a+(n-1)d, we get

f(n)=14.5+1.4(n-1)

The function models the n term of the given sequence is f(n)=14.5+1.4(n-1). Therefore, option B is the correct answer.

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