how many students are in the year group?

Answer:

x = 29

Step-by-step explanation:

64°+y°+y° = 180°

64+2y = 180

2y = 116

y = 58

(180°-58°)+2x° = 180

122+2x = 180

2x = 58

x = 29

Answer:

y = 4x + 8

Step-by-step explanation:

1) Find slope:

y2-y1/x2-x1

12-8/1-0 = 4/1 = 4

Slope = 4

2) Plug in a point in point-slope form

y-y1=m(x-x1)

y-8=4(x-0) =

y-8=4x-0 -> add 8 to both sides

y=4x+8

Answer: 2,125,764

Step-by-step explanation:

You can use the equation y=ar^n-1 to find the 13th term where a is the starting term, r is the common ratio, and n is the nth term

The next number is 12/4=3 times greater than the first. So if this sequence is a geometric one, then the next term must be 12*3=36. This is true, and the next term must be 36*3=108, which is also true. Therefore this sequence is a geometric one and its common ratio is 3. Therefore the equation is:

y=4*3^(n-1)

Substitute 13 for n:

y=4*3^(13-1)

y=4*3^12

y=2125764

Therefore, the 13th term of this geometric sequence is 2,125,764

Divide total by number of days:

367/5 = 73.40 per day

Answer:

Zero-product property.

Step-by-step explanation:

[tex]\text{If}~ ab =0\\\\\text{then}~ a=0~ \text{or}~ b=0[/tex]

Answer:

Step-by-step explanation:

48 times for the green fabric

32 for blue

Answer:

2x-10=x

take -10 to the other side it becomes +10

There are 20 red marbles

Since the probability of randomly choosing a blue marble is 5/9, then the probability of choosing a red marble will be:

= 1 - 5/9

= 4/9

If there are 45 marbles in total, the number of red marbles will be:

= 4/9 × 45

= 20

Therefore, there are 20 red marbles.

Answer:

5.36

Step-by-step explanation:

If the car travels for 4 hours on the highway at a rate of 65 miles per hour,12.4 gallons of gas should the car used, to the nearest tenth of a gallon.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that a car can go 21 miles per gallon of gas on a highway and that the car can travel for 4 hours at a speed of 65 miles per hour.

As a result, the distance traveled by car,

Distance = speed × time

Distance = 65 miles / hr × 4 hr

Distance = 260 miles

The number of gallons of gas the car should consume is determined by dividing the entire distance driven by the per gallon of gas as follows:

= 260 miles / 21 miles per gallon

= 12.38 gallon

The value nearest tenth of a gallon is,

=12.4 gallons

Thus, if the car travels for 4 hours on the highway at a rate of 65 miles per hour,12.4 gallons of gas should the car used, to the nearest tenth of a gallon.

Learn more about the arithmetic operation here:

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[tex]\huge \bf༆ Answer ༄[/tex]

The additional information needed to prove that the triangles are congruent is ~ A

Answer: Choice A

Explanation:

The shorthand AAS stands for "angle angle side". The diagram shows we have a pair of congruent angles, which takes care of one "A" of "AAS". So we need info about another pair of angles to take care of that other "A".

One possible pair is angle M and angle V, or we could go for angle N and angle U. Whichever option you go for, the tickmarked sides are not between the angles mentioned. If the side was between the angles, then we'd have to use ASA which is slightly different from AAS. The order matters.

Answer:1.72Gal

Step-by-step explanation:1 Gal is 3.785 L. 6.5 / 3.785 = 1.72

Answer:

0.5 in fraction form its 1/2.

Step-by-step explanation: hope this helps you <3.

45

since x=9 plug in 9 into the equation to get

4(9)+9

multiply 4(9) to get

36

Then add 9

which then equals 45

Answer:

answer is 45

Step-by-step explanation:

4×9=36

36+9=45

Answer:

None of these

Step-by-step explanation:

None of these are correct because you would need to multiply 5 x 10 to a certain power. 5.55621 x 10 to the 8th power would do it.

Answer: I believe D is correct

Step-by-step explanation:

Answer:

x= 5 ........................ .......

[tex]\dfrac{0.25}a = -0.25\\\\\implies 0.25 = -0.25 a\\\\\implies a = \dfrac{0.25}{-0.25} =-1\\\\\\\text{Hence the answer is}~ -1.[/tex]

Answer:

well, when you divide 1/.25 you get 4 so 1^.25 is the correct answer to all questions where you need to find the answer

Step-by-step explanation:

Answer:

  78.50°

Step-by-step explanation:

On either equinox, the sun is overhead at the equator. At 11.50 N, the sun will be at elevation ...

  90° -11.50° = 78.50°

This is an example of substitution because you have substituted the 'y' variable to find the 'x' variable.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

270

Step-by-step explanation:

so u would take 6 and 45 and multiplay

Answer:

Step-by-step explanation:

The slope is the cost of a renewal: $10.

The y-intercept is the initial cost: $65.

Answer:

1.5

Step-by-step explanation:

Four goes into six once, then four goes into 20 5 times

Answer:

Imagination

Step-by-step explanation:

12.5x + 30 = -7.5x + 90.5.

20x =60.5

x = 3 1/5

The sales from a music event comes from x tickets sold, at $12.50 a ticket, plus a rental income fee of $30 for an advertising billboard behind the stage.

The cost of the performance includes a musician's fee of $7.50 per ticket sold, plus a $90.5 rental fee for the stage.

The equation will tell us the number of tickets, x, that must be sold to break even (Inclome on the left and expenses on the right).

We need to sell at least 3 1/5 tickets to break even.  It's going to be close.

The equation 12.5x + 30 = -7.5x + 90.5  used to determine the point in time (number of weeks) at which their combined savings and spending will equal the cost of the trip.

The equation 12.5x + 30 = -7.5x + 90.5 could represent their financial situation.

The variable "x" represents the number of weeks they have been saving money.

The term 12.5x represents the total amount of money Friend A has saved over "x" weeks at a rate of $12.5 per week.

The term -7.5x represents the total amount of money Friend B has spent over "x" weeks at a rate of $7.5 per week (which is subtracted since it's being spent).

The constants 30 and 90.5 represent initial savings and the total funds needed for the trip, respectively.

To know more about  equation here

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Answer:

R' (- 5, - 6 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

R (5, - 6 ) → R' (- 5, - 6 )

Answer:

-5, -6

Explanation:

5, -6 is in quadrant 4, (x, -y) so if it were to be reflected over the y- axis, it would got to quadrant 3 (-x, -y).

Hope this helped :)

Answer:

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Answer:

y=3.7x + 120.3, 180

Step-by-step explanation:

Add them into a graphing calculator and you get y=3.7x + 120.3

Put 16 in for x:

3.7 (16) + 120.3

59.2 + 120.3 = 179.5, rounds to 180

This is what I have but it doesn't match with your answers

Answer:

The least number of stamps required is [tex]9[/tex]

Step-by-step explanation:

Let the number of [tex]3[/tex] cent stamps be [tex]x[/tex] and [tex]4[/tex] cent stamps be [tex]y[/tex]

We have

[tex]3x+4y=33[/tex]

The minimum number is obtained when more  [tex]4[/tex] cent stamps are used

Here [tex]y[/tex] cannot be greater than [tex]8[/tex] since [tex]\frac{33}{4} <9[/tex]

Substitute [tex]y=8[/tex]

[tex]3x+4\times 8=33\\\\3x=1\\\\x=\frac{1}{3}[/tex]

Not possible since [tex]x[/tex] is not a fraction

Substitute [tex]y=7[/tex]

[tex]3x+4\times 7=33\\\\3x=5\\\\x=\frac{5}{3}[/tex]

Not possible since [tex]x[/tex] is not a fraction

Substitute [tex]y=6[/tex]

[tex]3x+4\times 6=33\\\\3x=9\\\\x=\frac{9}{3}\\\\=3[/tex]

Possible

Hence minimum number of stamps is

[tex]=x+y\\\\=3+6\\\\=9[/tex]

Answer:

1: $92000 2: 52000 + 4000t= current salary

Step-by-step explanation:

1: simple arithmetic, 52000 + 4000(10)=92000

2: equation is formed as InitialSalary + 4000*(years at company) = New Salary

or with other variables, 52000+4000*t=N