(b) A restaurant bill that comes to €200 is
to be divided equally among a group of
people. However, three people leave before
the bill is settled and the remainder of the
group have to pay an extra €15 each.
How many people were originally in the
group?

Answer:

8^2

Step-by-step explanation:

Answer:

Your answer to your question is FALSE!!!!!!

Answer:

True

Step-by-step explanation:

I hope this helps!

Answer:

-8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

Pull out like factors : 16 + 2x  =   2 • (x + 8)

Solve::x+8 = 0

Subtract  8  from both sides of the equation::x = -8

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

First you have to translate the words to numbers into an understandable equation like this...

[tex]2x+3x=3(x+5)[/tex]

Now we can solve for x...

[tex]2x+3x=3(x+5)\\2x+3x=3x+15\\5x=3x+15\\2x=15\\x=7.5[/tex]

So the number is 7.5

5/2 is the number if the sum of twice a number and three times a number is triple the quantity of five more than a number then the number.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, The sum of twice a number and three times a number is triple the quantity of five more than a number.

Assuming the number has a unique multiple of x.

∴ 2x + 3x = (3x + 5).

2x = 5.

x = 5/2.

learn more about numerical expression here :

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Answer:

Step-by-step explanation:

see attached image

use Pythagorean to solve the other leg of a triangle

b = [tex]\sqrt{12^2 - 10^2}[/tex]

b = [tex]\sqrt{44}[/tex]

b = 6.6 units

Answer:

3.2, 3.25, 3 1/2, 3 2/3

Step-by-step explanation:

You can put them on a number line and find out the order. Or, convert to decimals or fractions.

Answer:

1/-9

Step-by-step explanation:

First you need to calculate rise over run with the equation [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] in this case that would be 6-4 over -8 - 10 this gets you 2/-18. This means the "rise" is 2 and the "run" is -18. This can be simplified to 1/-9.

Answer:

11.27

Step-by-step explanation:

If I understand you question right...

C = d x π

11.27 π = d x π

divide both sides by π

11.27 = d

Does it say how many of the marbles in the bag are red? Normally you will want to divide the amount of red marbles to the amount total marbles and you will get a percent. It's also note worthy that it states the marble going back into the bag. It would change if it was left out still.

Answer:

225π inches²

Step-by-step explanation:

Assuming the pizza to be a circle, its area is calculated below:

[tex]A=\pi r^2\\A=\pi(x+5)^2\\A=\pi(10+5)^2\\A=\pi(15)^2\\A=225\pi[/tex]

Thus, the radius of the pizza is [tex]225\pi[/tex] inches² when x is 10 inches.

Answer:

Your answer is: (a little big) ----> 1175/819

Mixed number form: 1 356/819

Combine the fractions by finding a common denominator.

Step-by-step explanation:

Hope this helped : )

Answer:

1175/819

Step-by-step explanation:

80/91 = 720/819

5/9 = 455/819

720 + 455 = 1175

We will not add the denominators

I hope this helps!

Answer:

this is based around your own learning but do something relatively easy to get it over with quickly. for example, in soccer will score a goal by the end of the season.

Step-by-step explanation:

specific, measurable, attainable, realistic, and timely

Answer:

x = 61°

y = 29°

Step-by-step explanation:

Since x°+29° is a right angle (90°), you would have to subtract 29 from 90 to get x.

90 - 29 = x

90 - 29 = 61

x = 61°

For y: You can infer that y°+x°=90° as well because the angles are corresponding angles. So to find y°, you would do the same thing as finding x.

90 - x = y

90 - 61 = 29

y = 29°

Hope this helps :)

Answer:

question 5: 9.6

Step-by-step explanation:

[tex] \frac{ 5.4}{6.3} = \frac{x}{11.2} [/tex]

[tex] \frac{5.4 \times 11.2}{6.3} = 9.6[/tex]

Answer:

15 dollars

Step-by-step explanation:

they lost 20 but made 5 back from the "sale"

infinitely many solutions

[tex]m+7=3+m+4[/tex]

Combine like terms

[tex]m+7=7+m[/tex]

Rearrange variables to the left side of the equation

[tex]m-m=7-7[/tex]

Apply the Inverse Property of Addition

[tex]m-m=7-7\\ 0=0[/tex]

Bases on the given conditions, the (system of) equation(s) has

[tex]infinitely\ many\ solutions[/tex]

I hope this helps you

:)

Positive correlation = positive association Negative correlation = negative association

Answer:

the plain is going 12km in one minute

Step-by-step explanation:

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{1}}}\implies \cfrac{2}{4}\implies \cfrac{1}{2}[/tex]

Answer:24 oz at smiths

Step-by-step explanation:

4.40/20 =.22 c per oz

4.80/24=.20 c per oz

Answer:

6, 8, 10.

Step-by-step explanation:

Let n be any integer.

Then our first even integer will be [tex]2n[/tex]

And the consecutive integers will be [tex]2n+2[/tex] and [tex]2n+4[/tex]

We want to find the integers such that the sum of twice the smallest number (2n) and three times the largest number (2n+4) is 42. In other words:

[tex]2(2n)+3(2n+4)=42[/tex]

Solve for n. Distribute:

[tex]4n+6n+12=42[/tex]

Combine like terms:

[tex]10n+12=42[/tex]

Subtract 12 from both sides:

[tex]10n=30[/tex]

Divide both sides by 10:

[tex]n=3[/tex]

So, the value of n is 3.

This means that our first even integer is 2(3) or 6.

So, our sequence of integers is: 6, 8, 10.

And we're done!

Notes:

We use 2n because anything integer multiplied by 2 ensures that the resulting number is even. Starting out, n can be either even or odd, but by multiplying it by 2, we will get an even number.

Answer:

29568 people cheered for the runners at the start of the race

Step-by-step explanation:

From the question, the crowd lined up 5 feet deep on both sides of the street for the first mile.

This lined up crowd could be related to a rectangle that is 1 mile long and 5 feet wide.

First, Convert 1 mile to feet

1 mile = 5280 feet

Hence, the length of the rectangle is 5280 feet and the width is 5 feet.

Now, we will determine how many 5 feet by 5 feet square we can get from the 5280 feet by 5 feet rectangle. To do that, we will divide 5280 feet by 5 feet

5280 feet ÷ 5 feet = 1056

Hence, from the rectangle, we can get 1056 5 feet by 5 feet square.

From the question, you estimate that 14 people can comfortably fit in a square that measures 5 feet by 5 feet,

∴ 14 × 1056 people will comfortably fit in the crowed lined up 5 feet deep on one side of the street for the first mile.

14 × 1056 = 14784 people

This is the amount of people that will comfortably fit in the crowed lined up 5 feet deep on one side of the street for the first mile.

Since the crowd lined up on both sides of the street, then

2 × 14784 people will comfortably fit in the crowed lined up 5 feet deep on both sides of the street for the first mile

2 × 14784 = 29568 people

Hence, 29568 people cheered for the runners at the start of the race.

Answer:

A ≈ 62.8 cm²

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = [tex]\frac{1}{2}[/tex] ab sinC

where a = 10, b = 13 and C = 105° , then

A = [tex]\frac{1}{2}[/tex] × 10 × 13 × sin105° = 65 × sin105° ≈ 62.8 cm² ( to 1 dec. place )

Answer:

26 inches.

Step-by-step explanation:

Lilly: 12 x 2 + 2 = 26

Anita: 12

6840 ÷ 7 = ?

6840  | 7          

63        977          

=54  

  49  

  =50

    49  

    =1

Answer:

i have no idea if you're looking for how many rides she can go on or the equation so i'll give you both lol.

Step-by-step explanation:

3t + 12 = 40

t represents the number of tickets (rides)

$12 is the entry fee.

$3 is the cost per ticket

to solve, use the subtraction property of equality. (subtract 12 from both sides)

3t + 12 - 12 = 40 - 12

3t = 28

divide each side by 3.

3t/3 = 28/3

28/3 = 9.3333...

amari can go on a maximum of 9 rides ($27) and stay within her budget of $40 or less.

$27 + $12 = $39.

she will have $1 left over.

The inequality in the given situation is 3t+12≤40

Given that, Amari can spend at most $40 at the fair.

Inequalities are mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Now, the cost her $12 to enter the fair and $3 per ticket, t, to ride the rides.

Here, $3 per ticket, t, to ride the rides = 3t

So, the inequality is 3t+12≤40

Therefore, the inequality in the given situation is 3t+12≤40.

To learn more about inequality visit:

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"Your question is incomplete, probably the complete question/missing part is:"

Amari can spend at most $40 at the fair. It cost her $12 to enter the fair and $3 per ticket, t, to ride the rides.

The inequality ___ represents the amount of money Amari has left to purchase tickets after she enters the fair.

Answer: 174

Step-by-step explanation:

Let's define the notation:

U = units digit

T = tens digit

H = hundreds digit.

Where the number is HTU.

We know that:

T = U + 3

"UTH" - "HTU" = 297.

"TU" = "HTU"/2 - 13.

First, let's wrote this correctly, and make a system of equations:

T = U + 3.

U*100 + T*10 + H - H*100 - T*10 - U = (U - H)*99 = 297.

T*10 + U = (H*100 + T*10 + U)/2 - 13 = H*50 + T*5 + U*0.5 - 13

Then we have the system of equations:

T = U + 3.

(U - H)*99 = 297

T*10 + U = H*50 + T*5 + U*0.5 - 13.

First, we can replace the first equation into the third one, so now we have only two variables.

(U - H)*99 = 297

(U +3)*10 + U = H*50 + (U + 3)*5 + U*0.5 - 13.

Now we can isolate H in the first equation and get:

(U - H) = 297/99

H = -297/99 + U.

Now we can replace it into the other equation:

(U +3)*10 + U = (-297/99 + U)*50 + (U + 3)*5 + U*0.5 - 13.

Now let's solve this for U.

U*10 + 30 + U = U*50 -150 + 5*U + 15 + U*0.5 - 13

11*U + 30 = U*(50  + 5 + 0.5) - 148

30 +148 = U*(55.5 - 11) = U*44.5

U = 178/44.5 = 4.

Then using the previous equations:

T = U + 3 = 4 + 3 = 7

H = -3 + U = -3 + 4 = 1.

Then our number is:

174.

:) Good Luck! You got this, and hope this helps!