Matthew practiced playing the guitar for 2/3 hours. Natalie practiced playing the guitar 1 3/4 times as long as
Matthew practiced it
How long did Natalie practice playing the guitar for?

Answer:

water : sucrose : saline = 1000 : 199 : 271

Step-by-step explanation:

Given Information:

Process:

Answer:

x-5=sqrt(2x+5)

then square both sides

x2-10x+25=2x+5

x2-8x+20=0

rest is trivial

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

Given

x - [tex]\sqrt{2x+5}[/tex] = 5 ( subtract x from both sides )

- [tex]\sqrt{2x+5}[/tex] = 5 - x ( divide all terms by - 1 )

[tex]\sqrt{2x+5}[/tex] = x - 5 ( square both sides )

2x + 5 = (x - 5)²

2x + 5 = x² - 10x + 25 ( subtract 2x + 5 from both sides )

0 = x² - 12x + 20 ← in standard form

0 = (x - 2)(x - 10) ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 10 = 0 ⇒ x = 10

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions

x = 2

2 - [tex]\sqrt{4+5}[/tex] = 2 - [tex]\sqrt{9}[/tex] = 2 - 3 = - 1 ≠ 5

Thus x = 2 is an extraneous solution

x = 10

10 - [tex]\sqrt{20+5}[/tex] = 10 - [tex]\sqrt{25}[/tex] = 10 - 5 = 5 = right side

Thus x = 10 is the solution

Answer:

The new temperature is 13 degrees Fahrenheit

Step-by-step explanation:

Answer:

q=30/31

To find:

q

Step-by-step explanation:

(7q - 6) (4q - 5) = 0

7q(4q - 5) + -6(4q - 5) = 0

7q × 4q - 7q × 5 - 6 × 4q + 6 × 5 = 0

28q - 35q - 24q + 30 = 0

28q - 59q + 30 = 0

-31q + 30 = 0

-31q = -30

q = -30/-31

q = 30/31

hope you understood:))

Answer:

n = -2

Step-by-step explanation:

-38 = -2n -12 +18n +6

-38 =16n -6

-38 +6 =16n

-32= 16n

n=-2

Answer:

Step-by-step explanation:

1/12

Answer:

8/3

Step-by-step explanation:

[tex](-2)^{3}[/tex]÷(-3)

Remember the order of operations,

1. parenthesis

2.exponenets

3. multiplication/ division

4. addition/ subtraction

[tex](-2)^{3}[/tex]÷(-3)

= -8 / -3

= 8/3

Answer:

J,F,K

Step-by-step explanation:

J,F,K

A sequence of transformations to rectangle JKLM that will result in rectangle J'K'L'M' is a translation by 3 units and -4 units, a reflection about the y-axis, and a rotation of 90 degrees counterclockwise about the origin.

A rectangle is a quadrilateral with four right angles and four sides of equal length. It is one of the most common shapes in nature and is found in everything from architecture to floor patterns.

Now, In order to transform rectangle JKLM into J'K'L'M', a series of transformations must be applied.

The first transformation is a translation of the rectangle along the x-axis by 3 units and along the y-axis by -4 units.

This will move the original rectangle from its original position, JKLM, to the new position, J'K'L'M'.

Next, a reflection about the y-axis needs to be applied, which will flip the rectangle around the y-axis.

This will result in the length of side K'L' being 6 units.

Finally, a rotation about the origin needs to be applied. The rotation should be 90 degrees counterclockwise in order for the coordinates of vertex K' to be (-3,2) and the coordinates of vertex M' to be (3,-2).

Therefore, a sequence of transformations to rectangle JKLM that will result in rectangle J'K'L'M' is a translation by 3 units and -4 units, a reflection about the y-axis, and a rotation of 90 degrees counterclockwise about the origin.

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Answer:

i think it is 48 because  each gift bag will have the same number of each item,

so if each gift bag has 1 pencil, 1 marker, 1 sticker, we will have the greatest number of gift bags.

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

the greatest common factor of 48,80 and 64 is 16

Answer:

50 mongoes

Step-by-step explanation:

42 x 12= 504 mangoes

504 - 4 = 500 mongoes

500/10= 50 mongoes

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[tex](9x + 17) +2 \times ( 5x + 15 ) + (6x - 12) = 360 \\ [/tex]

[tex]9x + 17 + 10x + 30 + 6x - 12 = 360 \\ [/tex]

[tex]9x + 10x + 6x + 17 + 30 - 12 = 360 \\ [/tex]

Collect like terms

[tex]25x + 35 = 360[/tex]

Subtract sides 35

[tex]25x + 35 - 35 = 360 - 35[/tex]

[tex]25x = 325[/tex]

Divide sides by 25

[tex] \frac{25x}{25} = \frac{325}{25} \\ [/tex]

[tex]x = 13[/tex]

Thus ;

[tex]RQ \: \: arc =2 \times (5x + 15)[/tex]

[tex]RQ \: \: arc = 10x + 30[/tex]

[tex]RQ \: \: arc = 10(13) + 30[/tex]

[tex]RQ \: \: arc = 130 + 30[/tex]

[tex]RQ \: \: arc = 160°[/tex]

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Answer:8 gumballs 3 jaw breakers

Step-by-step explanation:

Using an inequality to represent the expression and it's constraint, the required expression would be 0.50g + 0.30j ≤ 3

Given the Parameters :

(Cost of gumball × number of gumballs + Cost of Jawbreaker × number of gumbreakers) ≤ maximum cost

0.50g + 0.30j ≤ 3

Hence, the required inequality expression is 0.50g + 0.30j ≤ 3

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Answer:

A.) 8.5 miles

Step-by-step explanation:

I think its a because it says "THE SHORTEST possible" distance between the houses. So A.) 8.5 miles is the correct answer because A.)8 .5 miles is the shortest answer in the list of answers.

Hope this helped.

The shortest distance between the two houses is 13 miles.

In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

By observing the diagram we conclude that the shortest distance is the hypotenuse of the right-angled triangle that will form.

Given, The base is 12 miles and the height is 5 miles.

Therefore by Pythagoras' theorem,

Hypotenuse = √(5² + 12²).

Hypotenuse = √(25 + 144).

Hypotenuse = √(169).

Hypotenuse = 13 miles.

So, The shortest distance between the houses is 13 miles.

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Answer:

5n-6= -2

Step-by-step explanation:

The difference of...... this means its asking us to subtract one number from another number

5 times a number...... that means 5n

6..... since it said DIFFERENCE, it would be -6

is -2........ this means the answer to the equation is -2

So the equation is 5n-6= -2

Hope this helps!

Answer:

slope = 3/2

y intercept = 2

y = 3/2x + 2

Step-by-step explanation:

to find the slope you will you (y₂-y₁) ÷ (x₂-x₁)

(11-5) ÷ (6-2) =

6 ÷ 4 = 3/2

slope = 3/2

to find the y intercept you with use the slope intercept formula (y = mx+ b) and use one point given for x and y

for the example im going to use the point (2,5)

5 = 3/2 (2) + b

5 = 3 + b

subtract three from both sides to find b (y-intercept)

b = 2

Answer:

5+6=11

So,the probability to get 11 is 5+6

Step-by-step explanation:

Answer:

5 + 6 = 11

Step-by-step explanation:

a dice contains 6 numbers

1, 2, 3, 4, 5 and 6

Peter rolls 2 fair dice and adds the results from each.

So, 5 + 6 = 11

in fraction = 2/11

-TheUnknownScientist

Answer:

Step-by-step explanation:

an hour, or 60 minutes

Answer:

60 minutes

Step-by-step explanation:

i d 1 0 t

Answer:

matter cannot be created or destroyed

Step-by-step explanation:

just read about this in my engineering homework

Answer:

i think x=31.5

Step-by-step explanation:

the answer is x = 31.5

Answer:

-100

Step-by-step explanation:

Answer:

The formula for the circumference of a circle is C = 2πr, where r is the radius and C is the circumference. The equation solved for r is r =c/2π .

Step-by-step explanation: hope this helped!

Answer:

The radius of the circle with circumference 22cm is 3.5 cm

Step-by-step explanation:

The circumference of circumference of a circle is the distance of its closed boundary.

The circumference of a circle with radius r is given by the formula:

[tex]C = 2\pi r[/tex]

Given

C = 22cm

Putting the values in the formula

[tex]22 = 2 * \frac{22}{7} * r\\22 = \frac{44}{7} * r\\r = \frac{7}{44} * 22\\r = \frac{7}{2}\\r = 3.5cm[/tex]

Hence,

The radius of the circle with circumference 22cm is 3.5 cm

Based on the ratio of the jellybeans and the number of jellybeans, the number of each is:

To find the number of yellow jellybeans:

= Ratio of Yellow/ Sum of ratios x Number of jellybeans in total

= 6 / (6 + 5 + 4) x 60

= 24 yellow jellybeans

Orange jellybeans:

= 5 / 15 x 60

= 20 orange jellybeans

Red jellybeans:

= 4 / 15 x 60

= 16 red jellybeans

In conclusion, there are several colors of jellybeans.

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The answer would be John is 18 years old

Answer:

518

Step-by-step explanation:

P = 2

Q = 8

p3 + 64q

Multiply "p" (which is 2) with 3

Multiply "q" (which is 8) with 8

Add the two numbers you get

And you have you answer

I hope this helps. :)

Answer:

1/6

Step-by-step explanation:

Answer:

Once again, both are infinite. It is a function.

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

In this case, all of the sides are equal. All sides should add up to 180 degrees.

x+x+x=180

180/3= 60

Answer:

This is how the graph would look like

Step-by-step explanation:

The graph of the function [tex]f(x) = 0.5x^{2} + 2x - 6[/tex] is attached below.

The graph of the function [tex]f(x) = 0.5x^{2} + 2x - 6[/tex] can be created by plotting a few coordinates that lie on the function.

When x = 0, y = -6

Coordinate = (0, -6)

When y = 0,   [tex]0.5x^{2} + 2x - 6 = 0[/tex]

[tex]x^{2} + 4x - 12 = 0\\\\x^{2} + 6x - 2x - 12 = 0\\\\x(x+6) - 2(x+6) = 0\\\\(x-2)(x+6) = 0\\\\x = 2, -6\\[/tex]

Coordinates = (2,0), (-6,0)

Abscissa of vertex of graph = -b/2a = -2

Ordinate of vertex of graph = 0.5 *4 -4 - 6 = -8

coordinate = (-2, -8)

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