A group of friends go ice skating. They purchase one group ticket to get in and then each person rents skates and buys a hot chocolate.

It costs
$
10
to purchase a group ticket to get into the skating rink.
It costs
$
4
per person to rent skates.
It costs
$
1.75
per person for hot chocolate. ​​​​​​​
How many friends go ice skating if they spend a total of
$
38.75
?

Answer:

I think its 20x - 2 because when u are given KJ or KL we need the measurement of x

Answer:

3 units in the vertical direction

Step-by-step explanation:

-18x + 7y = 21 → 7y = 18x + 21 → y = 18/7x + 3

6-3=3

Answer:

2

Step-by-step explanation:

[tex]-18x+7y=21\\\\\implies y=\dfrac{18}{7}x+3[/tex]

when x = 0, y = 3

[tex]y=\dfrac{18}{7}x+6[/tex]

when x = 0, y = 6

Therefore, the scale factor is 2 since the y coordinate has double: 3 x 2 = 6

Answer:

Right

Step-by-step explanation:

Stem and leaf plots are used to visualize data, graphically

The true statement is (b) There are 30 buildings in the county that are taller than 50 feet.

From the stem and leaf plot, we have that the number of leaves is 30

This means that, the total frequency of the dataset is 30

So, the number of buildings taller than 50 feet is 30

Hence, the true statement is (b) There are 30 buildings in the county that are taller than 50 feet.

Read more about stem and leaf plots at:

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Here , we are provided with a table which shows 5 consecutive terms of an arithmetic sequence . But before solving further , let's recall that ;

The n'th term of a Arithmetic Sequence let's say it be [tex]{\sf T_n}[/tex] is given by ;

Where , d is the common difference

Now , here we are given with ;

[tex]{\quad \qquad \sf \blacktriangleright \blacktriangleright \blacktriangleright T_{1}=8 \: and \: T_{5}=-4}[/tex]

We have to find the 2nd , 3rd and 4th term respectively ,

Now , by using the above formula , 5th term can be written as ;

[tex]{: \implies \quad \sf T_{1}+(5-1)d=T_{5}}[/tex]

Putting the values and transposing 1st term to RHS , we have ;

[tex]{: \implies \quad \sf 4d = -4-8}[/tex]

[tex]{: \implies \quad \sf d=-\dfrac{12}{4}}[/tex]

[tex]{: \implies \quad \sf d=-3}[/tex]

Now , as we got the common difference , so we can find out the missing terms now ;

[tex]{: \implies \quad \sf T_{2}= T_{1}+(2-1)d}[/tex]

[tex]{: \implies \quad \sf T_{2}= 8 +d}[/tex]

[tex]{: \implies \quad \sf T_{2}= 8-3}[/tex]

[tex]{: \implies \quad \bf \therefore \: T_{2}= 5}[/tex]

Now

[tex]{: \implies \quad \sf T_{3}= T_{1}+(3-1)d}[/tex]

[tex]{: \implies \quad \sf T_{3}= 8 +2d}[/tex]

[tex]{: \implies \quad \sf T_{3}= 8-6}[/tex]

[tex]{: \implies \quad \bf \therefore \: T_{3}= 2}[/tex]

Also ,

[tex]{: \implies \quad \sf T_{4}= T_{1}+(4-1)d}[/tex]

[tex]{: \implies \quad \sf T_{4}= 8 +3d}[/tex]

[tex]{: \implies \quad \sf T_{4}= 8-9}[/tex]

[tex]{: \implies \quad \bf \therefore \: T_{4}= -1}[/tex]

Now , The given table can be written as ;

[tex]{\begin{array}{|c|c|c|c|c|c|}\cline{1-6} \bf n & \sf 1 & 2 & 3 & 4 & 5 \\ \cline{1-6} \bf T_{n} & \sf 8 & 5 & 2 & -1 & -4 \end{array}}[/tex]

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Given the data from the question, the 2nd, 3rd and 4th term of the sequence are:

This is a type of sequence which have common difference between each term. It is represent mathematically as:

Tₙ = a + (n – 1)d

Where

Tₙ is the nth term

a is the first term

n is the number of terms

d is the common difference

Tₙ = a + (n – 1)d

T₅ = 8 + (5 – 1)d

–4 = 8 + (4)d

Collect like terms

–4 – 8 = 4d

–12 = 4d

Divide both side by 3

d = –12 / 4

d = –3

Tₙ = a + (n – 1)d

T₂ = 8 + (2 – 1)(–3)

T₂ = 8 + (1)(–3)

T₂ = 8 – 3

T₂ = 5

Tₙ = a + (n – 1)d

T₃ = 8 + (3 – 1)(–3)

T₃ = 8 + (2)(–3)

T₃ = 8 – 6

T₃ = 2

Tₙ = a + (n – 1)d

T₄ = 8 + (4 – 1)(–3)

T₄ = 8 + (3)(–3)

T₄ = 8 – 9

T₄ = –1

Learn more about arithmetic sequence:

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Answer:

2log(base 5)x - 2log(base 5)4

Step-by-step explanation:

The expression which is equivalent to [tex]log_5[/tex] [tex][x/4]^2[/tex] is c) 2[tex]log_5[/tex] x-2[tex]log_5[/tex]  4.

The answer is c. 2[tex]log_5[/tex]  x - 2[tex]log_5[/tex]  4.

We can use the power rule of logarithms to simplify the expression [tex]log_5[/tex]  [tex][x/4]^2[/tex]. The power rule of logarithms states that [tex]log_a[/tex] [tex]b^c[/tex] = c[tex]log_a[/tex] b.

In this case, we have [tex]log_5[/tex]  [tex][x/4]^2[/tex] =[tex]log_5[/tex]  [tex](x/4)^2[/tex] = 2[tex]log_5[/tex]  (x/4).

We can then use the quotient rule of logarithms to simplify the expression further. The quotient rule of logarithms states that [tex]log_a[/tex] (b/c) = [tex]log_a[/tex] b - [tex]log_a[/tex] c.

In this case, we have 2[tex]log_5[/tex]  (x/4) = 2[tex]log_5[/tex]  x - 2[tex]log_5[/tex]  4.

Therefore, the equivalent expression to [tex]log_5[/tex]  [tex][x/4]^2[/tex] is 2[tex]log_5[/tex]  x-2[tex]log_5[/tex]  4.

The other expressions are not equivalent to [tex]log_5[/tex]  [tex][x/4]^2[/tex]. Option a is not equivalent because it has an extra [tex]log_5[/tex]  4 term. Option b is not equivalent because it has a [tex]log_5[/tex]  16 term. Option d is not equivalent because it does not have the -2[tex]log_5[/tex]  4 term.

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#SPJ2

Answer:

[tex]\sf 36x^2 -24x +4[/tex]

solving step wise:

[tex]\sf (6x-2)^2[/tex]

[tex]\sf (6x-2)(6x-2)[/tex]

[tex]\sf 36x^2 -12x -12x +4[/tex]

[tex]\sf 36x^2 -24x +4[/tex]

or

[tex]\sf (6x-2)^2[/tex]

[tex]\sf (6x)^2 +2*6x*-2+(-2)^2[/tex]

[tex]36x^2 -24x +4[/tex]

Answer:

36x²-24x+4

Step-by-step explanation:

6x-2² 6x-2 6x-2

1 5/8

You need to subtract 2/8 from 1 7/8. The numbers are already common denominators, so it's much easier to subtract.

1 7/8-2/8

=1 5/8

Answer:

they are both bald???

they are both made like that?

they are both don't know anything :D

I don't know, not even search knowsss

Answer:

$15348

Step-by-step explanation:

i = prt is the simple interest equation

i = 12,000(0.031) = 372

i = 372*9 = 3348

12000+3348 = $15348

Answer:

Step-by-step explanation:

I=PRT

I=12,000(3.1%)

I=12,000(0.031)=372

I=372*9=3348

The total interest paid is $3,348.

Answer/Step-by-step explanation:

Even if it not showing -8 on the number line we know that

-8 is in between -6 and -9 on the first number line.

For the second number line we can infer that -8 is in between -8.5 and -7.5.

Refer to picture below given for answer:

Answer:

B

Step-by-step explanation:

-3/5 isn't in the reciprocal column so it stays the same

-4 5/6 improper faction which is 29/6 flip it (since reciprocal) which is 6/29 division sign to Multiplication and done

Answer:

c=8x+b

Step-by-step explanation:

Basically the 1 in b cancels out and you get c=8x+b

Answer:

[tex]\displaystyle 15[/tex]

Step-by-step explanation:

Divide the circumferense by π like so:

[tex]\displaystyle \pi{d} = C \\ \\ \frac{47,1}{3,1415926536...} = d; 14,992395639... \\ \\ \boxed{15 \approx d}[/tex]

I am joyous to assist you at any time.

Answer:

t = -1

Step-by-step explanation:

Solve:

-Chetan K

Answer:t=-1

Step-by-step explanation:

Answer:

( C ) Because U.S hospital admission has only 5% of Hospital-Acquired infections

Answer:

i think its definition of slope , f-e= F -E AND SLOPE FROM P TO Q

Step-by-step explanation:

SORRY ABOUT THE CAPS...

Answer:

π

Step-by-step explanation:

The formula to find the area of a circle is πr^2. If we know that the radius is 1, we just have to substitute that for r:

π(1)^2

= π1

= π

Answer:irrational, rational, non-reapting and non-terminating and irrational

Step-by-step explanation:

because

Answer:

Product before increasing: 4200

x after increase: 60 * 105% = 63

y after increase: 70 * 110% = 77

Product after increasing: 4851

Percentage increase in the product: 4851 / 4200 * 100 = 115.5%

Answer:

I think 87.2% is the correct answer.

I think it will help you

[tex]2cos(0.5x) sin(0.1x)[/tex]

[tex]#TryYourBest[/tex]

Answer:

c. 7/10

Step-by-step explanation:

there are only 3 numbers from 1 to 10 which are multiples of 3. So you just subtract 3 from 10 to find those which are not multiples of 3.

So u get 7/10

Uh i dunno if i explained enough though

Answer:

128°

Explanation:

total sum of interior angle in triangle is 180°

Find the missing angle inside the triangle:

180° - 38° - 90°

52°

∵ a straight line always has 180°

Now find for missing exterior angle:

x° + 52° = 180°

x° = 180° - 52°

x° = 128°

Answer:

128 degrees

Step-by-step explanation:

180-52= 128

so your answer is 128 degrees.

Answer: C

Step-by-step explanation:

[tex]25a^{2}=(5a)^{2}[/tex] and [tex]36b^{6}=(6b^{3})^{2}[/tex]

Answer: 9x^3 + 10x^2 - 5x + 12

Step-by-step explanation: