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Answer:

(5x)² ≥ 46

x² + 5x ≤ 46

5x² > 46

Step-by-step explanation:

Suppose number is x

The square of the product of 5 and a number is not less than 46.

Step 1

Product of 5

5x

Step 2

Square of the product of 5

(5x)²

Step 3

A number is not less than 46

(5x)² ≥ 46

The sum of square of a number and five times that number is no more than 46

Step 1

Square of a number

x²

Step 2

Five times that number

5x

Step 3

The sum

x² + 5x

Step 4

Is no more than 46

x² + 5x ≤ 46

The product of 5 and the square of a number is greater than 46

Step 1

The square of a number

x²

Step 2

The product of 5

5x²

Step 3

Is greater than 46

5x² > 46

Answer:

h=5/18

Step-by-step explanation:

Hi there!

If you try to solve 1/2-h=2/9 for h immediately, you will find that you cannot because the denominator is odd for 2/9. Multiply 2 for the numerator and the denominator to get 4/18. Now we have 1/2-h=4/18. Multiply the numerator and denominator by 9 to get 9/18-h=4/18. H=5/18.

Answer:

[tex]\boxed{h=\dfrac{5}{18}}[/tex]

Step-by-step explanation:

[tex]\textsf {$\dfrac{1}{2} - h$ = $\dfrac{2}{9}$}[/tex]

1. Subact  [tex]\dfrac{1}{2}[/tex]  from both sides:

[tex]\textsf {$\dfrac{1}{2} - h$ = $\dfrac{2}{9}$}\\\\\textsf {$\dfrac{1}{2}-\dfrac{1}{2} - h$ = $\dfrac{2}{9} -\dfrac{1}{2}$}\\\\\textsf {$-h$ = $\dfrac{4-9}{18}$}\\\\\textsf {$-h$ = $\dfrac{-5}{18}$}[/tex]

2. Divide both sides by -1

[tex]\textsf {$-h$ = $\dfrac{-5}{18}$}\\\div -1 \div-1\\\\ \boxed{h=\dfrac{5}{18}}[/tex]

Final answer: [tex]\boxed{h=\dfrac{5}{18}}[/tex]

Hope this helps!

Answer:

the answer to this question is 184cm^2 because the formula to find the area for a rectangular prism is A= BH so  we need to multiply 20 which is the base times 9.2 which is the height and when we do those steps of multiplying we get an answer of 184cm^2 so 184 cm^2 is hopefully the correct answer for this problem.

Step-by-step explanation: hopefully that is the correct and have a great day.

The mathematical expression correctly uses the formula (startfraction m over m n endfraction) (x 2 minus x 1) x 1 to find the location of point r is:

" (startfraction 3 over 3 5 endfraction) (2 minus (negative 14)) (negative 14)" (Option A)

A mathematical expression is a statement that contains numbers, variables, functions, etc that are related to one another in a very logical way.

It can also be defined as a mathematical phrase that comprises:

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Answer:

A

Step-by-step explanation:

The expression that shows the granola bars Todd bought is 12g.

The algebraic expression stands for the mixture of variables, coefficient, constant, or all three in a mathematical form where both sides are set equivalent to each other.

Given: Todd bought g boxes of granola bars.

There are 12 granola bars in each box.

Let g be the boxes of granola bars.

Therefore, the expression that shows the granola bars Todd bought is 12g.

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Answer:

50.24sq units

Step-by-step explanation:

4^2=4x4

4x4=16

16x3.14=50.24

Answer:15

Step-by-step explanation:

96÷2=48

63-48=15

So Sam should give Peter 15 of his stamps so that Peter will have twice as many stamps as him.

Answer:

10 stamps

Step-by-step explanation:

Let n = the number of stamps Sam gives Peter.

63 - n is the number stamps Sam has after giving some of them to Peter.

Peter starts with 96 stamps.

After Sam gives Peter n stamps, Sam will have 96 + n stamps.

2(63 - n) = 96 + n

126 - 2n = 96 + n

-3n = -30

n = 10

Answer: 10 stamps

Answer:

The total for liking and not liking painting is 51.

28 like painting, so to find the missing number subtract 28 from 51.

The missing number is 23

The sum of function is a way of adding two or more functions together

The values of x for which f(g(x)) = 0 are -2/3 and -1/3

The sum of function is a way of adding two or more functions together

Given the following functions

f(x) = x² - 2x

g(x) = 6x + 4

f(g(x) = f(6x +4))

f(6x+4) = (6x+4)² - 2(6x+4)
(6x+4)² - 2(6x+4) = 0
(6x+4) = 0 and 6x+4-2 = 0
x = -2/3 and -1/3

Hence the values of x for which f(g(x)) = 0 are -2/3 and -1/3

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Answer:

Yes

Step-by-step explanation:

But not all rational numbers are natural numbers, so be careful of that.

Answer:

just look at the algebra formula and simplify to get your answer. Remember to use your powers well

Answer:

Perimeter = 18(1 + √3 ) cm

Step-by-step explanation:

The radius of each ball = 1/2 * 6 = 3 cm.

Lines drawn from the 2 points of contact for one billiard ball to the center of the ball are at right angles to the sides of the triangle ( Tangent/radius theorem).

If we now draw a line from the vertex of the big triangle to the center of the ball we get 2 right triangles, and they are 30-60-90 triangles.

If the adjacent side of a triangle  ( which is part of the side of the big triangle) = x:

tan 30 = 3 / x

x = 3 / tan 30

=  3 / 1/√3

=   3√3 cm.

There are 6 of these sides in the big triangle so their total length =

18√3 cm.

The three 'middle' sides joining 2 billiard balls  each have a length of  2 radii = 6 cms   ( as they form a rectangle with the radii of 2 billiard balls).

So the perimeter of the triangle = 18√3 + 3(6)

= 18(1 + √3 ) cm

I would have liked to transfer a diagram but I can't get to copy it to this site.

Answer:

i think its 8z-9 if im not wrong :)

Step-by-step explanation:

Answer:

$15.86

Step-by-step explanation:

Answer:

m + (m+4) + (m-2) = 20 or 3m + 2 = 20

Step-by-step explanation:

Answer: 3 [tex]\frac{1}{3}[/tex] liters

Step-by-step explanation:

     We will set up a proportion to help us solve.

[tex]\displaystyle \frac{10 \text{ liters of fruit juice}}{x\text{ liters of lemon soda}} =\frac{3 \text{ liters of fruit juice}}{1\text{ liters of lemon soda}}[/tex]

    Now we will cross multiply.

10 = 3x

    Lastly, we will divide both sides by 3.

3 [tex]\frac{1}{3}[/tex] = x

       She will need 3 [tex]\frac{1}{3}[/tex] liters of lemon soda.

Step-by-step explanation:

where is the figure and question

Answer:

option A infinite rational values of x greater than 500

Step-by-step explanation:

i just finished the quiz on edge

Answer:

the chosen topic is not meant for use with this typ of problem try the examples below

Step-by-step explanation:

Answer:

x = 77

Step-by-step explanation:

x and 103 are same- side exterior angles and sum to 180°

x + 103 = 180 ( subtract 77 from both sides )

x = 77

Answer:

In this problem we are given the initial amount of money that Lacey has in her account and we are also given the amount of money that she has spent using that account.  We are told to check how much money is left in her account and we can do this with a simple subtraction.

[tex]Initial\ Amount - Money\ Spent[/tex]

[tex]\$603-\$252[/tex]

[tex]\$351[/tex]

Therefore, our final answer is that Lacey has $351 left in her account.

Hope this helps!  Let me know if you have any questions

Answer:

143.8 m²

Explanation:

Surface Area of cylinder = 2πr(r + h)

Here given,

Surface Area of cylinder:

⇒ 2π(1.6)(1.6+ 12.7)

⇒ 174.2955 m²

⇒ 143.8 m²        (rounded to nearest 1 decimal place)

The type of number -5.41 is is an rational number.

A rational number is a number that can be expressed as a fraction of two integers. 5.41 can be expressed as -5.41 / 1000.

An integer and whole number is a number that does not have any fraction or decimal. -5.41 is a decimal number, thus it is not an integer and a whole number.

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Answer: 11.2

I found the answer in the comments and figured I should make it an answer, so it's easy to find:)

<3

Answer:

10y - 70z + 10.

Step-by-step explanation:

10(y-7z+1)    Multiply each term in the brackets by 10:

= 10y - 70z + 10

Answer:

3.2 and 3.92

Step-by-step explanation:

Answer:

  -20, -18, -16

Step-by-step explanation:

For consecutive integer problems, it often works well to let a variable represent the middle one (or their average value).

__

Here, we can let x represent the second integer. Then the first is (x-2), and the third is (x+2). The given relation can be written as ...

  (5 +x)(-7) = 11 +5(-(x+2))

  -35 -7x = 11 -5x -10 . . . . . . eliminate parentheses

  -36 = 2x . . . . . . . . . add 7x -1

  -18 = x . . . . . . . . divide by 2

The three integers are -20, -18, -16.

Answer:

= 20.7345115137

or

≈ 21

Step-by-step explanation:

Circumference = 2 x π x radius

Circumference = 2 x π x 3.3

hope this helps

have a good day

Answer:

The formula to get the circumference of a circle is [tex]C=2*\pi * r[/tex].  We can then input the value and we get that [tex]C=2*\pi*3.3[/tex] and as we solve it more the final answer that we get is [tex]C=20.735[/tex].

Hope this helps!  Let me know if you have any questions

Answer:

(4,-2)

Step-by-step explanation:

What is linear combination?

Linear combination is the process of adding two equations to eliminate a variable so that we are able to solve for the other variable.

Here we are given the two equations 9x + 4y = 28 and 2x + 4y = 0. We can use linear combination to cancel out the two 4y terms leaving us with only x variables in which we can solve for.

Adding the two equations. (subtracting the second equation from the first)  we really are subtracting the second equation from the first because if we were to add we would get 4y + 4y which wouldn't cancel out the terms therefore we would have to subtract the two equations to get 4y - 4y which cancels out the terms.

  9x + 4y = 28

- (2x + 4y = 0)

==> remove parenthesis and apply negative sign

  9x + 4y = 28

 -2x  - 4y = -0

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

  7x     =    28

==> divide both sides by 7

    x = 4

Finding the y value:

The solution is written as (x,y) meaning we also need the value of y. To find it we can plug in the value of x into one of the equations and then we can solve for y.

2x + 4y = 0

==> plug in x = 4

2(4) + 4y =0

==> multiply 2 and 4

8 + 4y = 0

==> subtract 8 from both sides

4y = -8

==> divide both sides by 4

y = -2

so we have x = 4 and y = -2

the solution of the equation would be (4,-2)

Checking our work

If our answer is correct we can plug in the values of x and y into both equations and the outcome will be valid ( or correct )

Equation 1 : 9x + 4y = 28

==> plug in x = 4 and y = -2

9(4) + 4(-2) = 28

==> multiply 9 and 4

36 + 4(-2) = 28

==> multiply 4 and -2

36 - 8 = 28

==> subtract 8 from 36

28 = 28

Equation 2 : 2x + 4y = 0

==> plug in x = 4 and y = -2

2(4) + 4(-2) = 0

==> multiply 2 and 4

8 + 4(-2) = 0

==> multiply 4 and -2

8 - 8 = 0

==. Subtract 8 from 8

0 = 0

Both are correct so our solution is correct!

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