The measures of the angles of a triangle
are shown in the figure below. Solve for x.
60°
(4x+3)°
(2x+9)⁰

Answer:

original price $75

discount $18.75

sale price $56.25

Step-by-step explanation:

I found a pair of dress pants for $75.

Since the discount is 25%, then the discount is

25% of $75 = 0.25 × $75 = $18.75

The sale price is the original price, $75, minus the discount, $18.75.

$75 - $18.75 = $56.25

Answer:

Graph B is not linear.

Step-by-step explanation:

This question asks for a linear relationship. Graph B is not linear.

Please look closely at the attached images where I gave graphed these points.

I hope this helps. Please let me know if you have questions.

Answer: 18

Step-by-step explanation:

By the exterior angle theorem,

[tex]x+18+x+12=x+48\\\\2x+30=x+48\\\\x+30=48\\\\x=18[/tex]

Answer:

x = 18

Step-by-step explanation:

The sum of two interior angles im a triangle is equal to one exterior angle that is supplementary to the third interior angle:

x + 18 + x + 12 = x + 48 add like terms

2x + 30 = x + 48 transfer like terms to the same side of the equation

2x - x = 48 - 30

x = 18

Answer:

screenshot attached of graph

Step-by-step explanation:

Answer:

58.3%

Step-by-step explanation:

7/12 = 0.583333333

0.583333333 simplified is 58.3%

Answer:

Approximately 58.3%.

Step-by-step explanation:

7/12 ≈ 0.583

0.583 = 58.3%

Answer:

$1.00 = 10 cent each

Step-by-step explanation:

Answer: 22 ft

Step-by-step explanation:

Answer:

20.8

Step-by-step explanation:

Just use the The Pythagorean Theorem

which is a^2+b^2=c^2

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Answer:

23/35

Step-by-step explanation:

there's 12 red cards and 23 black cards

total = 35 cards

probability  to  pick a black card = 23/35

Answer: 23/35

Step-by-step explanation:

Probability is the measure of the likelihood of an event occurring. It is measured by the number of favorable outcomes over the total number of possible outcomes.

Here, the event is a black card being drawn. Since there are 12 + 23 = 35 cards in the deck, there are 35 possible outcomes of what card is picked. Out of those 35 cards, 23 are black, making 23 of the 35 options be the option we want.

23 black cards out of 35 total cards can also be written as [tex]\frac{23}{35}[/tex], which is the probability that a black card is chosen.

Answer:

a = 1500     b = .97

Step-by-step explanation:

1500 ( .97)^x       = bone density after n years

                              3% loss leave 97% each year   (.97 in decimal)

Answer:

C

Step-by-step explanation:

Graph C is the only one that has a y-intercept of (0, -16):  note that when x = 0, y = 0^2 - 6(0) - 16, or y = -16 when x = 0.

The larger number is 32 and the smaller number is 28 given that one number is 4 more than another and their sum is 60. This can be obtained by forming algebraic equation and finding

Given that one number is 4 more than another,

⇒x = y + 4              (equation (1))

Their sum is 60,

⇒x + y = 60

y + 4 + y = 60      (From (1))

2y + 4 = 60

2y = 56 ⇒ y = 28

x = y + 4 = 28 + 4 = 32

Hence the larger number is 32 and the smaller number is 28 given that one number is 4 more than another and their sum is 60.

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Answer:   y = -x + 2

Step-by-step explanation:

Point slope form is y - y = m(x - x)

m = the slope of the line

Slope-intercept form is y = mx + b

m = the slope of the line

b = y-intercept

So because the - is in the m spot in the point-slope form, that means that is the slope of the line meaning it will also be in the m spot in slope-intercept form. The y-intercept of the line is found when x is 0.  When we look at the two coordinates provided you can see that one of them shows when x is 0.  We see that when x is 0, y is 2  which means that the y-intercept is 2.

So when you put the 2 in place of b,  you get   y = -x + 2

The jo's drink have stronger pineapple taste.

Given that fruit punch calls for 333 liters of orange juice and 222 liters of pineapple juice and Jo creates a drink by mixing 444 liters of orange juice with 333 liters of pineapple juice.

In the Recipe for fruit punch calls

The Number of liters of orange juice = 333.

The Number of liters of pineapple juice = 222.

Thus, Total number of liters of juice = 222+333= 555 liters

Now, % of pineapple juice in fruit punch is

P₁=(222/555)×100

P₁=0.4×100

P₁=40%

Further, % of orange juice in fruit punch is

O₁=(333/555)×100

O₁=0.6×100

O₁=60%

In Jo's drink

The Number of liters of orange juice = 444.

The Number of liters of pineapple juice = 333.

Thus, Total number of liters of juice = 444+333= 777 liters

Now, % of pineapple juice in jo's drink is

P₂=(333/777)×100

P₂=0.43×100

P₂=43%

Further, % of orange juice in jo's drink is

O₂=(444/777)×100

O₂=0.57×100

O₂=57%

Hence, the taste of both drinks was not the same, jo's drink will have a stronger pineapple taste and jo's drink will have a lesser orange taste.

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The missing data item for the given set of data if the median of the complete data set is 15 is 11; option F

Data set: 11, 23, 12, 18, 11, 10, 19, 15, 19, 21, 13, 17, 24, 14

Median = Sum of data + n / number of data

15 = (11+23+12+18+11+10+19+15+19+21+13+17+24+14) + n / 15

15 = 214 + n / 15

15 × 15 = 214 + n

225 = 214 + n

n = 225 - 214

n = 11

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There can be 18, 12, 9, 6, 4 , 3 or 2 students on each team depending on the number of teams selected.

Considering there are at least 2 teams but no more than 19 teams, let's calculate the number of students in each case:

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The solution of the system would be (3,6).

Lets solve the problem,

Other equation: y = 1/3x+5

Slope-Intercept Form: y = mx + b

Slope Formula:

y2-y1/x2-x1 = m

Have to find equation now:

m = (6 - 5)/(3 - 0)

m = 1/3

y = 1/3x + b

5 = 1/3(0) + b

b=5

y = 1/3x + 5

Lets put the substituition method here,

1/3x + 5 = -1/3x + 7

2/3x + 5 = 7

2/3x = 2

x = 3

y = 1/3(3) + 5

y = 1 + 5

y = 6

Therefore the coordinates are (3,6)

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The total amount that roland paid for the ticket is $27.60

Given that the price of an all-access ticket to the fair is $42.99 before tax. Roland bought the all-access ticket for 40% off.

We need to calculate the total amount paid by the roland

In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100

The price after 40% off -

= 42.99*60% = $25.794

Sales tax on 25.794

= 25.794*7% = $1.80558

Total amount Paid for the ticket

= 1.80558 + 25.794 = $27.59958

= $27.60

Hence the total amount paid by roland is $27.60

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Answer:

In my opinion, it would be 'y', since it is already on its own (in the first equation) without any coefficients.

Answer:

x.

Step-by-step explanation:

x because if you multiply the first equation by 2 and add the result to equation 2 , the y's will cancel out.

2x + y = 9   Times 2:-

4x + 2y = 18

3x - 2y = 17     Adding:-

7x = 35

x = 5.

Answer:

33.3

Step-by-step explanation:

The scale factor is 2/3.

The ratio of the surface areas is the square of the scale factor, so the surface area of the smaller cone is 75(2/3)², which is about 33.3 cm²

You would multiply the change per hour by number of hours to get -2h

That would be added to the starting temperature.

Answer: B, t = -2h + 32

Answer: The answer is B

Step-by-step explanation:

The question says it drops ( which means subtraction) by 2 degrees every hour, so -2h

-8.(2a - 1) = 36

-16a + 8 = 36

-16a = 36 - 8 = 28

a = 28/(-16) = -7/4

The correct answer is -7/4 = -1.75

The solution to the given equation is [tex]\frac{-7}{4}[/tex].

Expression is a finite combination of symbols that is well-formed according to rules that depend on the context. An expression is a combination of numbers, variables, or a combination of numbers and variables, and symbols and it is connected by the sign of equal.

We have,

Expression -8(2a - 1) = 36

So,

Now,

To get the solution to this expression,

i.e.

-8(2a - 1) = 36

Rewrite it as,

i.e.

Opening Brackets,

We get,

-16a + 8 = 36

Now,

Taking variable terms on one side and other terms on another side,

We get,

-16a = 36 - 8

On solving we get,

-16a = 28

i.e.

a = [tex]\frac{-28}{16} = \frac{-7}{4}[/tex]

So,

The solution to the given equation is [tex]\frac{-7}{4}[/tex].

Hence, we can say that the solution to the given equation is [tex]\frac{-7}{4}[/tex].

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The current drawn by 9 identical motors will be 124.2 amps current

Current is the flow of electrical charge carriers like electrons. Current flows from negative to positive points. The SI unit for measuring electric current is the ampere (A). One ampere of current is defined as one coulomb of electrical charge moving past a unique point in a second.

since , one motor of 2hp draws = 13.8 amps current

hence , 9 identical motor will pull = 13.8 * 9 (each will pull same amount of current )

                                                         = 124.2 amps current

The current drawn by 9 identical motors will be 124.2 amps current

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Answer:

1.

a.) 24in

b.)75.36in

c.)452.16in

Step-by-step explanation:

1a. The radius is half of the diameter, so all you have to do is add 12 + 12 which is 24.

1b. the circumfrence of a circle is C (Circumfrence)=[tex]2\pi r[/tex] so replace radius for 12 and then do 3.14(pi) x 2 which will get you 6.28 times 6.28 by 12 and you will get 75.36.

1c. Area=[tex]\pi r^{2}[/tex] so first do the radius by the second power, or [tex]r * r[/tex], susitute r for 12 and you will get 144, times 144 by pi and you will get 452.16in

Sorry I could not answer every question but hope this helps!

The total number of different ways there are to put the cousins in the rooms is;  15

When we count the number of cousins staying in each room, it means that the possibilities are as follows; (4,0,0,0), (3,1,0,0), (2,2,0,0), (2,1,1,0), (1,1,1,1).

1) (4,0,0,0): This means that there is only 1 way to put all the cousins in the same room due to the fact that the rooms are identical.

2) (3,1,0,0): This means that there are 4 ways to choose which cousin will be in a different room than the others.

3) (2,2,0,0): This means that there are 3 ways to choose which of the other cousins will also stay in that room, and then the other two are automatically in the other room.

4) (2,1,1,0): This means that the number of ways to choose which cousins stay in the same room is; 4C2 = 6

5) (1,1,1,1): This means that there is only one way for all the cousins to the total number of possible arrangements is;

1 + 4 + 3 + 6 + 1 = 15each stay in a different room.

Therefore, the total number of possible arrangements is;

1 + 4 + 3 + 6 + 1 = 15

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Answer:

in a triangle prism each cross section parallel to the triangular base is a triangle congruent to the base

The polynomial's maximum value is relative.

Here we have the polynomial:

[tex]V(x) = 36x^2 - 3.75x^3[/tex]

Notice that the leading coefficient is negative, so, as x tends to negative infinite, V(x) will tend to positive infinite.

So we only have a relative maximum, because is local maximum (at x = 6.4), but the function can take larger values than that.

You can also check that on the graph of V(x), which you can see below:

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