Mary weighs n kg while her sister weighs 15 kg less. How many times is Mary heavier than her sister?

Final answer:

The time to complete a load of laundry ranges from a minimum of 42 minutes to a maximum of 58 minutes, combining the shortest and longest durations for both washing and drying cycles respectively.

Explanation:

The question asks about calculating the minimum and maximum total times for completing a load of laundry, including washing and drying cycles. The minimum time for washing is 22 minutes, and the minimum time for drying is 20 minutes. Therefore, the minimum total time to complete a load of laundry is 22 + 20 = 42 minutes.

On the other end, the maximum time for washing is 28 minutes, and the maximum time for drying is 30 minutes. The maximum total time to complete a load of laundry is 28 + 30 = 58 minutes.

In conclusion, the entire process of doing laundry, including both washing and drying, takes between 42 and 58 minutes in total.

Total amount of what?

$8.75 * 7.5

about $65.63

Forgive me if I'm wrong

Hope this helps!

Answer:

0.0362

Because the exponent is negative, you move the decimal to the left 2 times.

Step-by-step explanation:

The measure of angle y is 62°.

I solve this by

We know: Measures of interior angles in a triangle add up to 180°.

Therefore we have the equation:

60° + 58° + y = 180°

118° + y = 180°         subtract 118° from both sides

118° - 118° + y = 180° - 118°

y = 62°

The measure of angle x is 122°.

I solve this by

Angles 58° and x are supplementary angles.

Supplementary angles add up to 180°.

Therefore we have the equation:

x + 58° = 180°            subtract 58° from both sides

x + 58° - 58° = 180° - 58°

x = 122°

To factorise fully the expression 5x-15, we must search for the greatest common factor (GCF) that can be taken out of both terms. The expression 5x - 15 can be factorised fully by finding the greatest common factor, which is 5. So the expression factorised fully is 5(x - 3).

To factorise fully the expression 5x-15, we must search for the greatest common factor (GCF) that can be taken out of both terms.

The GCF of 5x and 15 is 5. Thus, we can pull 5 outside of the equation and divide each term by 5.

The equation becomes: 5(x - 3).

So, the expression 5x - 15 factorised fully is 5(x - 3).

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Answer:

Part 1) The value of x is 21

Part 2 The value of y is 8

Step-by-step explanation:

step 1

Find the value of x

we know that

[tex](10x-61)\°+(x+10)\°=180\°[/tex] ------> by supplementary angles (linear pair)

[tex]11x-51=180[/tex]

[tex]11x=180+51[/tex]

[tex]11x=231[/tex]

[tex]x=21[/tex]

step 2

Find the value of y

we know that

[tex](10x-61)\°=(18y+5)\°[/tex]  ----> by vertical angles

substitute the value of x and solve for y

[tex](10(21)-61)\°=(18y+5)\°[/tex]

[tex](149)\°=(18y+5)\°[/tex]

[tex]18y=149-5[/tex]

[tex]18y=144[/tex]

[tex]y=8[/tex]

Answer:

x=21 y=8

Step-by-step explanation:

[tex]\text{Hello there!}\\\\\text{We're trying to find the area of the shape}\\\text{We can do this by finding the area for the different shapes, then adding}\\\text{them together}\\\\\text{We can find the area of the rectangle,} \,\,84\cdot66=5,544\\\\\text{To find the area of the half circle, we would use the equation:}\,\,A=\frac{3.14r^2}{2}\\\\\text{The radius is half of the diameter, therefore it is 33. Plug 33 in r}\\\\A=\frac{3.14(33)^2}{2}\\\\\text{Solve:}\\\\A=\frac{3.14(33)^2}{2}\\[/tex]

[tex]A=\frac{3.14(1089)}{2}\\\\A=\frac{3419.46}{2}\\\\\text{Divide by 2}\\\\A=1709.73\\\\\text{Since there's two half circles, we would add 1709.73 twice}\\\\\text{Add all the areas together}\\\\1709.73+1709.73+5,544=8963.46\\\\\large\boxed{\text{Area:}\,\,8963.46\,\,\text{m}^2}}[/tex]

Answer:

x = 5

Step-by-step explanation:

Screenshot below will explain the answer

Answer:

-26

Step-by-step explanation:

Answer:

The length is 10 inches, and the width is 4 inches.

By creating a quadratic equation using the known facts and algebra, we can determine that the dimensions of the rectangle with an area of 40 square inches are length= 10 inches and width= 4 inches.

This problem is a classic example of using algebra to solve for unknown dimensions. Given that the area (A) of a rectangle equals its length (L) times its width (W), written as A = L x W, you can substitute the given values into this formula. You're told the length is 6 inches longer than the width, which you can denote in algebra as L = W + 6. Secondly, you're given that the area is 40 square inches. Substituting these values gives us the following equation: 40 = W(W + 6).

Solving this equation will give us the width, and substituting the width into the formula L = W + 6, gives us the length.

First, distribute the width on the right side of the equation to get 40 = W^2 + 6W. Re-arranging terms gives W^2 + 6W - 40 = 0. Factoring this quadratic equation yields (W - 4)(W + 10) = 0. Setting each factor equal to zero and solving for W gives W = 4 and W = -10. Because a width cannot be negative, the width of the rectangle is 4 inches. Substituting W = 4 into the length equation results in L = 4 + 6 = 10 inches. Hence, the dimensions of the rectangle are Length = 10 inches and Width = 4 inches.

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Answer:

The measure of segment AC is 36 units

Step-by-step explanation:

- The mid-point divides the segment into two equal parts in length

- B is the mid point of segment AC

- That means B divides segment AC into two equal parts in length

∴ AB = BC

∵ AC = 5x - 9

∵ AB = 2x

- The two parts AB and BC are equal in length

∴ BC = 2x

∵ AC = AB + BC

- Substitute the values of AB and BC in the expression of AC

∴ AC = 2x + 2x

∴ AC = 4x

∵ AC = 5x - 9

- Equate the two values of AC

∴ 5x - 9 = 4x

- Add 9 to both sides

∴ 5x = 4x + 9

- Subtract 4x from both sides

∴ x = 9

- Substitute the value of x in any expression of AC

∵ AC = 4x

∵ x = 9

∴ AC = 4(9) = 36

* The measure of segment AC is 36 units

let's keep in mind that we have denominators of 2, 4 and 2, and thus we can use their LCD of 4, and multiply both sides by that LCD to do away with the denominators, let's proceed,

[tex]\bf \cfrac{1}{2}n+\cfrac{3}{4}n=\cfrac{1}{2}\implies \stackrel{\textit{multipying both sides by }\stackrel{LCD}{4}}{4\left( \cfrac{1}{2}n+\cfrac{3}{4}n \right)=4\left( \cfrac{1}{2} \right)}\implies 2n+3n=2 \\\\\\ 5n=2\implies n=\cfrac{2}{5}[/tex]

The simplified equation from the given 3x + 9 + 4x + x = _x + _ is 8x + 9 = _x + _. This equation cannot be solved further without the values for the variables represented by the underscores.

The first step to solving the equation is to simplify it. Your original equation is 3x + 9 + 4x + x = _x + _. When we simplify the left side of the equation by combining like terms we get 8x + 9 = _x + _. However, the variables in the blanks on the right side of equation are unknown, so we can't solve it fully. But now you have a simpler equation to work with, and if you receive any additional information, you can substitute those values into your simplified equation.

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Answer:

64-5 divided by 64-3 is 59 divided by 61. 59

8 squared is equal to 64.                           -----

                                                                     61

Step-by-step explanation:

[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{8^{-5}}{8^{-3}}\implies \cfrac{1}{8^{-3}\cdot 8^5}\implies \cfrac{1}{8^{-3+5}}\implies \cfrac{1}{8^2}\implies \cfrac{1}{64}[/tex]

Answer:

nineteen and thirty - eight hundredths

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h. k) are the coordinates of the vertex and a is a multiplier

here (h, k) = (- 6, - 1), thus

y = a(x + 6)² - 1

To find a substitute one of the roots into the equation

Using (- 3, 0), then

0 = a(- 3 +6)² - 1

0 = 9a - 1 ( add 1 to both sides )

1 = 9a ( divide both sides by 9 )

a = [tex]\frac{1}{9}[/tex], thus

y = [tex]\frac{1}{9}[/tex](x + 6)² - 1 ← in vertex form

Expand factor and simplify

y = [tex]\frac{1}{9}[/tex] (x² + 12x + 36) - 1 ← distribute

y = [tex]\frac{1}{9}[/tex] x² + [tex]\frac{4}{3}[/tex] x + 4 - 1

  = [tex]\frac{1}{9}[/tex] x² + [tex]\frac{4}{3}[/tex] x + 3 ← in standard form

Answer:

-3

Step-by-step explanation:

-(-3) = 3

-(-6) = 6

-3 - (-6) = 3

-c - d

c = -3

-3 - d

d = -6

-3 - (-6)

=-3+6

=3

Answer:

Step-by-step explanation:

-3 - (-6) = x  (u would use Keep Change Flip [KCF] to solve)

-3 + 6 = x

3=x

so the answer is 3

Hope this helps!!

Answer:

81x^2 + 12x + 4

Step-by-step explanation:

This expression doesn't factor

Answer:4(y+6)

Step-by-step explanation: y from -9 to 9

go to wolfram math to see the graph because i cant draw it

I hope this helps you.

Answer:

A

Step-by-step explanation:

Let's see...

It's a cube, so the total volume will be one length cubed or 10^3 which is 1000.

(2500 g)/(1000 cm^3) = [tex]2.5 g/cm^3[/tex]

I'm pretty sure the answer is A because it's the only one with correct scientific notation.

Answer:

6<x>54 ASK YOUR TEACHER

Step-by-step explanation:

Answer:

35000

Step-by-step explanation:

Multiply 7 by 5 and you would get 35, then add the zeros

Answer:

70*500= 35000

Step-by-step explanation:

Answer:

Possible values of a =  2.58 and  -6.58.

Step-by-step explanation:

Using the distance formula

√(3- 1)^2 + (-2-a)^2) = 5

(3- 1)^2 + (-2-a)^2 = 25

4 + 4a + a^2 + 4 = 25

a^2  + 4a - 17 = 0

a = [-4 +/- √(4^2 - 4*1*-17) ] / 2

a =  -2 +/- √84 / 2

a =  2.58, -6.58.

Hey!

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Answer:

w = -12 or w = 12

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Explanation:

The lines on each side of the w stands for "absolute value". This means that whatever number is inside the two lines is positive regarding its sign.

|12| = 12

|-12| = 12

Since the equation has the negative symbol outside the two lines, it means that the absolute value will remain negative.

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

Hope This Helped! Good Luck!

Answer:

- 1050

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ], thus

[tex]S_{20}[/tex] = [tex]\frac{20}{2}[/tex] [ (2 × - 74) + (19 × - 3) ]

= 10 ( - 148 - 57) = 10 × - 105 = - 1050

x/4 >= -8

Multiply both sides by 4.

x >= (-8)(4)

x >= -32

The value of X is greater than or equal to -32.

To solve the inequality X/4 ≥ -8, we need to isolate the variable X. Firstly, we can multiply both sides of the inequality by 4 to get rid of the denominator: X ≥ -32. This means that the value of X is greater than or equal to -32. In interval notation, we can represent this as (-32, ∞).

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Answer:

The rocket will take 6.49 seconds to fall back to the ground

Step-by-step explanation:

* Lets explain how to solve the problem

- A rock is thrown upward from the top of  a 25 foot tower with an initial

 upward  velocity of 100 ft/sec

- That means at t = 0 the height of the rock is 25 feet above the ground

- A function of time can  be modeled by the equation:

 h(t) =  - 16t² + 100t + 25, where h is the height of the rocket from the

 ground at time t

∵ h(t) = -16t² + 100t + 25

- The height of the rocket is 25 feet above the ground when it

  is thrown up

∴ h(t) = 25 at t = 0 ⇒ initial position of the rocket

- The height of the rocket when hits the ground is zero

∴ h(t) = 0 when the rocket hits the ground ⇒ final position of it

- We need to find the time that the rocket takes to fall back to

 the ground

∵ h(t) = 0

∵ h(t) = -16t² + 100t + 25

∴ -16t² + 100t + 25 = 0

- Lets solve it to find the value of t

∵ -16t² + 100t + 25 = 0

- Multiply both sides by -1 to make the coefficient of t² positive

∴ 16t² - 100t - 25 = 0

- Use your calculator to find the values of t

∴ t = 6.49 sec and t = -0.24 sec

∵ We will reject the value of t = -0.24, because time can not be

   negative value

∴ The rocket will take 6.49 seconds to fall back to the ground

Answer:

The value of the digit 2 in the number 12,600 is 2,000

Step-by-step explanation:

we have the number 12,600

Rewrite the number in expanded form (write the number in its digits value)

[tex]12,600=10,000+2,000+600[/tex]

so

The value of the digit 1 in the number is 10,000

The value of the digit 2 in the number is 2,000

The value of the digit 6 in the number is 600

Answer:

x = -1 , y = -4

Step-by-step explanation by elimination:

Solve the following system:

{8 y - 5 x = -27 | (equation 1)

7 y - 8 x = -20 | (equation 2)

Swap equation 1 with equation 2:

{-(8 x) + 7 y = -20 | (equation 1)

-(5 x) + 8 y = -27 | (equation 2)

Subtract 5/8 × (equation 1) from equation 2:

{-(8 x) + 7 y = -20 | (equation 1)

0 x+(29 y)/8 = (-29)/2 | (equation 2)

Multiply equation 2 by 8/29:

{-(8 x) + 7 y = -20 | (equation 1)

0 x+y = -4 | (equation 2)

Subtract 7 × (equation 2) from equation 1:

{-(8 x)+0 y = 8 | (equation 1)

0 x+y = -4 | (equation 2)

Divide equation 1 by -8:

{x+0 y = -1 | (equation 1)

0 x+y = -4 | (equation 2)

Collect results:

Answer:  {x = -1 , y = -4