Juan has a piano recital next month. Last week he practiced for 12 hours in the morning and 14 hours in the afternoon. Each practice session is 3 hours long. How many full practices did Juan complete

First we find the value of [tex]x[/tex]. This is quite simple as it's a right angled triangle with one of the angles already given. The main concept is vertically opposite angles meaning if 2 lines intersect, the opposite 2 angles are equal.

So the angle [tex]55x - 1[/tex] is for the interior of the triangle too. Now due to angle sum postulate, [tex]36x + 55x -1 + 90 = 180[/tex]

Simplify this and you get: [tex]91x = 91[/tex]

Hence, [tex]x = 1[/tex]

Now, we need to find the value of angle [tex]A[/tex] which is [tex]36x[/tex] which is basically [tex]36 * 1[/tex] when we replace [tex]x[/tex] with [tex]1[/tex].

Henceforth, angle [tex]A[/tex] is equal to [tex]36[/tex] so option [tex]C[/tex] is correct. :D

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Explanation:

Place point B at the intersection of the lines where the 90 degree angle is located.

Place point C at the other intersection point.

So we have triangle ABC.

Since we have a right angle, this means angle B is 90 degrees.

Angle C is 55x-1 degrees because it's vertical to the angle shown. Vertical angles are congruent.

See the diagram below.

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

From here we use the idea that all three angles of any triangle always add to 180

A+B+C = 180

(36x) + (90) + (55x-1) = 180

91x+89 = 180

91x = 180-89

91x = 91

x = 91/91

x = 1

Use this x value to find angle A and C

A = 36x = 36*1 = 36

C = 55x-1 = 55*1-1 = 54

Finding angle C is optional since your teacher just wants angle A, but it's useful to help check our answer

A+B+C = 36+90+54 = 180

So this confirms we have the right x value.

Answer:

Step-by-step explanation:

Step one:

He charged $25 and spent $6 on gas on Monday.

then he made 25-6= $19 mowing his neighbor's lawn.

the next day is Tuesday(we are not told he spent any amount on gas on Tuesday).

So he mowed his Grandparents yard for $20.

total money saved for Monday and Tuesday is

19+20= $39

Hence he has $39 for mowing both yards

Answer:

b.b d.d e.e

Step-by-step explanation:

Answer:

With like terms the answer is x = 5/2

Step-by-step explanation:

The first one and the last one.

-Since they both include a negative and a positive

-The one you have chosen is incorrect because a negative divided by a negative becomes a positive

Answer:

4/10

Step-by-step explanation:

0.4 = 4/10 because 0.4=0.40 and 4/10 = 40/100

Answer:

4/10 of his cards are baseball cards.

The fraction line could help you by turning the equivalent fraction into a decimal.

You could write the decimal in tenths as a fraction as 4/10 because there are 10 parts and 0.4 or his cards are baseball cards.

Answer:

A

Step-by-step explanation:

Answer:

Chemical Equation Balancer C6H12O6 + O2 = CO2 + H2O. The chemical symbol for oxygen is O, but pure oxygen exists as diatomic (“two-atom”) molecules, represented by the chemical formula O2.

Step-by-step explanation:

Answer:

3 5/8 inches of snow per hour

Step-by-step explanation:

29 divided by 8 = 3.625

                             (3 5/8)

if 29 inches for 8 hours, and you need to find how much snow in one hour, you can get 1 hour from 8 hours by doing 8 divided by 8. You  use the same number to find the snow, divide 29 by 8 and you get the rate at which snow builds up.

Hope this wasn’t too confusing ^0^

Answer:

The equation is: y=(x-45)/3 and Beth can ride the bus 118 times.

Step-by-step explanation:

From the information provided, the total cost of riding the bus is equal to the start-up fee plus the cost of each ride for the number of times Beth rides the bus:

x=45+3y, where x is the total cost of riding the bus and y is the number of times Beth rides the bus.

Now, you can solve for y and you can replace x with 400 that is the total amount Beth has:

x=45+3y

y=(x-45)/3

y=(400-45)/3

y=355/3

y=118

According to this, the answer is that the equation is: y=(x-45)/3 and Beth can ride the bus 118 times.

Answer:

Recall, Positive/Negative Association: • Two variables have a positive association when the values of one variable tend to increase as the values of the other variable increase. • Two variables have a negative association when the values of one variable tend to decrease as the values of the other variable increase.

The fraction 24/35 is  equal to 68.57% when converted to a percentage.

To convert a fraction to a percentage, you can follow these steps:

Divide the numerator of the fraction by the denominator.

In this case, divide 24 by 35: 24 ÷ 35

= 0.6857142857142857

Multiply the result from 0.6857142857142857 by 100 to get the percentage.

Multiply 0.6857142857142857 by 100

0.6857142857142857 × 100 = 68.5714285714

Therefore, the fraction 24/35 is equal to 68.57% when converted to a percentage.

To learn more on Percentage click:

https://brainly.com/question/24159063

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You Can Divide By Three

3/3 = 1

12/3 = 4

27/3 = 9

48/3 = 16

Answer:

3n²

Step-by-step explanation:

3  = 3 * 1  = 3* 1²

12 = 3 * 4 = 3 * 2²

27 = 3 * 9= 3 * 3²

48 = 3 * 16 = 3* 4²

Therefore, n th term = 3*n² = 3n²

Answer:

B

Step-by-step explanation:

Answer:

The slope is 3/2

Step-by-step explanation:

Slope formula y2 - y1

                       x2 - x1

8-5/-1+3

3/2

The slope is 3/2

~PumpkinSpice1

Answer:

The slope is 3/2

Step-by-step explanation:

Use slope intercept form. [tex]\frac{y_2-y_1}{x2-x_1}[/tex]

[tex]\frac{8-5}{-1-(-3)}[/tex] = [tex]\frac{3}{2}[/tex]

Answer:

8 hours.

Step-by-step explanation:

If you have the 20 as the fee, you'd only have 40 dollars left. If you do 40/ 5 you'd get your answer of 8 hours.

Step-by-step explanation: The first thing you're going to probably

try to do here is to factor out a greatest common factor.

The problem is, there is no factor that is in common

to all three of these terms so you may think it's unfactorable.

However, this trinomial is in a special form.

We have an x squared term, an x term, and a constant term.

When a trinomial is in this form, it can be

factored as the product of two binomials.

So start by setting up two sets of parentheses.

Inside each set, we will have the two terms that compose each binomial.

So we have (    )(    ).

The first term is a factor of the x² term, x · x.

For the second term, we need factors of 12 that add to -7.

Since the middle term is negative, we use the negative factors of 12.

Notice that -4 and -3 add to -7 and multiply to be 12.

So our answer is (x - 4)(x - 3).

Yeah also you got it correct, congrats.

Answer:

yes

Step-by-step explanation:

Answer:

x=2, x=-3, or x=3.5

Step-by-step explanation:

Make them all in 3 equations equal to 0. The number of brackets, the number of equations.  

Answer:

Step-by-step explanation:

m∠2 = 180° - 113° = 67°

Answer:

y = - 3x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3x + y + 2 = 0 ( subtract 3x + 2 from both sides )

y = - 3x - 2 ← in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes, thus

y = - 3x + c ← is the partial equation

To find c substitute (3, - 4) into the partial equation

- 4 = - 9 + c ⇒ c = - 4 + 9 = 5

y = - 3x + 5 ← equation of line in form y = mx + c

The equation of line which parallel to given line is, [tex]y=3x-8[/tex]

The equation of line in slope intercept form is,

                            [tex]y=mx+c[/tex]

Where m is slope of line and c is y-intercept.

Equation of line given that,

                            [tex]y=3x+4[/tex]

So that, slope of line is [tex]3[/tex]

We have to find the equation of the line that passes through (4,4) and is parallel to given lines.

Since, slope of all parallel lines are same.

Equation of required line is,

                          [tex]y=3x+c[/tex]

Substitute point (4,4) in above line.

                        [tex]4=12+c\\\\c=4-12=-8[/tex]

So that, equation of line become,

                       [tex]y=3x-8[/tex]

Learn more about the equation of line here:

https://brainly.com/question/18831322

Answer:

where is the question ??

Answer:

1 rose cost $1.5

1 carnation cost $0.5

Step-by-step explanation:

Let the price for one rose be r, price for one daisies be d and the price for one carnation be c

For Ben;

5r + 8d + 2c = 14.5

For Alex

3r + 12d + c = 14

For Joe

10r + d + 3c = 17.25

From equation iii;

d = 17.25- 10r - 3c

Insert this into the first two equations;

5r + 8(17.25-10r-3c) + 2c = 14.5

5r + 138 - 80r -24c + 2c = 14.5

-75r -22c = -123.5

Thus;

75r + 22c = 123.5

Insert the formula for d in the second equation;

3r + 12(17.25-10r-3c) + c = 14

3r + 207 - 120r -36c + c = 14

-117r-35c = 14-207

117r + 35c = 193

So we have two equations to solve simultaneously;

75r + 22c = 123.5

117r + 35c = 193

Multiply first equation by 35 and second by 22

2625r + 770c = 4322.5

2574r + 780c = 4246

Subtract second from first

51r = 76.5

r = 76.5/51

r = 1.5

Insert this in the equation below;

75r + 22c = 123.5

75(1.5) + 22c = 123.5

112.5 + 22c = 123.5

22c = 123.5-112.5

22c = 11

c = 11/22

c = 0.5

Answer:

x = 24/13

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define equation

18/13 = 3/4x

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Hope this helps! 

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