You are school supply shopping in together as a package of six pencils for $2.70 how much does each pencil cost

Answer:

senior ticket = $10     child's ticket = $8

Step-by-step explanation:

s = senior ticket

c = child's ticket

We need to write 2 equations, and we have 2 unknowns, s and c.

3s + 5c = $70

12s + 12c = $216

First solve for s using the first equation.

3s + 5c = 70    Subtract 5c from each side

3s + 5c - 5c = 70 - 5c

3s =  70 - 5c     Divide each side by 3

3s/3 =  (70 - 5c)/3

s = [tex]\frac{70 - 5c}{3}[/tex]

Now plug in s into the second equation.

12s + 12c = 216

12([tex]\frac{70 - 5c}{3}[/tex]) + 12c = 216

[tex]\frac{12}{3}[/tex] (70 - 5c) + 12c = 216

4 (70 - 5c) + 12c = 216

280 - 20c + 12c = 216

280 - 8c = 216  Add 8c to each side

280 - 8c + 8c = 216 + 8c

280 = 216 + 8c   Subtract 216 from each side.

280 - 216 = 216 - 216 + 8c

280 - 216 = 8c

64 = 8c   Divide each side by 8

64/8 = 8c/8

64/8 = c

8 = c

Now plug c into the first equation and solve for s.

3s + 5c = 70

3s + 5(8) = 70

3s + 40 = 70    Subtract 40 from each side.

3s + 40 - 40 = 70 - 40

3s = 70 - 40

3s = 30  Divide each side by 3

3s/3 = 30/3

s = 30/3

s = 10

So a senior ticket costs $10 and a child's ticket costs $8.

9514 1404 393

Answer:

 142

Step-by-step explanation:

The first term of this arithmetic sequence is -10. The common difference is -8-(-10) = 2. The n-th term is ...

  an = a1 +d(n -1)

  an = -10 +2(n -1) = 2n -12

Then the 77th term is ...

  a77 = 2(77) -12 = 154 -12

  a77 = 142

The 77th term is 142.

Answer:

543.2 miles

Step-by-step explanation:

Input the given value of x into the equation and solve for y:

y = -67.9x + 679

y = -67.9(2) + 679

y = -135.8 + 679

y = 543.2

The total distance in miles after 2 hours is 543.2 miles.

Answer:

The answer is 30, or B. If you neee an explanation let me know

Answer:

B

Step-by-step explanation:

This is because Y is exactly 3 times the amount of x so 10x3= 30

Answer:

H

Answer:

a^n +3

Step-by-step explanation:

simpify: a^na^3:\quad a^{n+3}

a^{n+3}

Answer:

8, 4, 0, -4, - 8, .........

Step-by-step explanation:

The n the term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and a₁₅ = - 48, then

8 + 14d = - 48 ( subtract 8 from both sides )

14d = - 56 ( divide both sides by 14 )

d = - 4

To obtain the progression subtract 4 from each term, that is

8, 4, 0, - 4, - 8, ......

Answer:

8, 4, 0, -4, -8, -12, -16, -20,...

Step-by-step explanation:

Arithmetic Progressions

The general term of an arithmetic progression (A.P.) is:

[tex]a_n=a_1+(n-1).r[/tex]

Where:

a1  = First term

an = Term number n

n   = Number of the term

r   = Common difference

We are given: a1=8, and a15=-48, n=15. Calculate r:

[tex]\displaystyle r=\frac{a_n-a_1}{n-1}[/tex]

[tex]\displaystyle r=\frac{-48-8}{15-1}[/tex]

[tex]\displaystyle r=\frac{-56}{14}[/tex]

r = -4

We can get the terms of the progression by subtracting 4 to the previous term.

Thus, the first terms of the progression are:

8, 4, 0, -4, -8, -12, -16, -20,...

Answer:

D) [tex]1\frac{21}{40}m^2[/tex]

Step-by-step explanation:

We can first change the area of his garden into an improper fraction:

[tex]7\frac{5}{8} m^2 = \frac{61}{8}m^2[/tex]

Since Eric wants to split his garden into five equal sections, we divide the area of his garden by [tex]5[/tex]:

[tex]\frac{61}{8}\div 5 = \frac{61}{40}[/tex]

[tex]=1\frac{21}{40}m^2[/tex]

∴ The area of each new section is [tex]1\frac{21}{40}m^2[/tex]

Hope this helps :)

Answer:

5n-6= -2

Step-by-step explanation:

The difference of...... this means its asking us to subtract one number from another number

5 times a number...... that means 5n

6..... since it said DIFFERENCE, it would be -6

is -2........ this means the answer to the equation is -2

So the equation is 5n-6= -2

Hope this helps!

Answer:

i wanna say its 136 but im not completely sure

Answer:

300.33333

Step-by-step explanation:

Answer: 1.25 p , where  p= Weight of Jordan's dog

Step-by-step explanation:

Let p = Weight of Jordan's dog .

Given: Emmett apostrophe's dog with 25% more than Jordan star.

Then, weight (in pounds)  of Emmett apostrophe s dog  = p +25%  of p

= p +0.25 p  [We divide a number by 100 to remove %]

= p(1+0.25)

= p(1.25)

=1.25 p

Hence, the expression represents the weight in pounds of Emmett apostrophe's dog=1.25 p

Given:

Total number of tickets = 80

Ratio of winning tickets to losing tickets is 2 : 8.

To find:

The number of tickets of each kind in the bag.

Solution:

Let the number of winning and losing tickets are 2x and 8x respectively.

Total number of tickets = 80

[tex]2x+8x=80[/tex]

[tex]10x=80[/tex]

Divide both sides by 10.

[tex]x=\dfrac{80}{10}[/tex]

[tex]x=8[/tex]

Now,

Winning tickets : [tex]2(8)=16[/tex]

Losing tickets : [tex]8(8)=64[/tex]

Therefore, the winning and losing tickets are 16 and 64 respectively.

Answer:

If a coin is tossed 4 times; number of possible outcomes = (2^4) = 16. 3 heads and 1 tail can occur from 4 tosses in (4C3)*(1C1) = 4*1 = 4 ways. So, the probability = (4 / 16) = (1 / 4) = 0.25.  

i didnt really understand the question but hope this helps

According to the information given, we have that:

For each coin, there are only two possible outcomes, either it is heads, or it is tails. The result of the flip of a coin is independent of any other flip, hence, the binomial distribution is used to solve this question.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

Item a:

Hence, a binomial model with [tex]p = 0.5[/tex] and [tex]n = 4[/tex] should be used.

Item b:

P(B) is P(X = 3), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{4,3}.(0.5)^{3}.(0.5)^{1} = 0.25[/tex]

Hence, P(B) = 0.25.

To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377

Answer:

70.2 x 10=702.

6.702 x 10=67.02

7.02 x 100=70.2

7.02 x 10=70.2

Step-by-step explanation:

I hope this help! :)

Answer:the answer is 3/8.

Step-by-step explanation:

Answer:

50.

Step-by-step explanation:

12 x 45 = 540. 45 + 5 = 50.

Answer:

a

Step-by-step explanation:

Answer:

y=mx+b is the form in which these equations are. B represents the y intercept and M is the slope

currently to find slope we need to get y alone on the left side of the equation for all the answers:

A.y-4=3(x-2) -----> y-4=3x-6 (i also distributed) ----> y=3x-2

B.  y+4=-3(x+2)----> y+4=-3x-6 -------> y=-3x-10

C. y-2=-3(x-4) --------> y-2=-3x+12 ------> y=-3x+14

D. y-4= -3( x-2) --------> y-4= -3x+6 ---------> y=-3x+10

All of these equations except A have a slope of -3 so A is already out and to find which one is valid we need to plug in the point (2, 4) for each of the equations

B. 4=-3(2)-10 ------> 4=-6-10----> 4=-16- not valid

C. 4 =-3(2)+14 ----->  4=-6+14------>4=8 not valid

D. 4=-3(2)+10 ----->4=-6+10 ------> 4=4 - Valid

Only D is correct

Step-by-step explanation:

Step-by-step explanation:

constant=7

coefficient=2

Answer:the slope is negative is the one with the x , -3/2 so that means the top of the line points to the top left

Start with -3 which on the y axis start on -3 go down thats the first dot point then do slope which is -3 down /2 right the opposite start again on -3 on the y go up 3 and 2 to the left connect points

Step-by-step explanation:

Answer:

here is the answer -(12)/(-3)

Step-by-step explanation:

PLEASE MARK BRAINILIEST!

Answer:

133.33333333 percent

the diffrence is 800

Step-by-step explanation:

[(1400 - 600) / 600] × 100%

= 1.3333333333 × 100%

= 133.33333333%

Answer:

133.33% increase

Step-by-step explanation:

This is a percent increase, and to solve for one you need to know the following formula

[tex]|\frac{new~value~-~original~value}{original~value}| *100[/tex]

Plugging it in;

New value = 1400

Old value = 600

[tex]|\frac{new~value~-~original~value}{original~value}|= |\frac{1400-600}{600}| = |\frac{800}{600}| = 1.333333333[/tex]

1.3333333 as a percent is

133.33%

So you have an increase of 133.33%

Answer:

Step-by-step explanation:

Answer:38

Step-by-step explanation:

Answer:

Step-by-step explanation:

Without the picture of the arrow I can't give an accurate answer. But, I'll try.

If the arrow is pointing like this -----> half turn counter clockwise should be with it pointing up.

If the arrow is pointing up, it should look like this <-----.

Do you get the idea?

Answer:

x = 1

Step-by-step explanation:

3x +2y = 15

y = 6x

Substitute y for 6x in 3x +2y = 15!

3x + 2(6x) = 15

3x + 12x = 15

Combine like terms

15x = 15

Divide both sides by 15

15x = 15

x = 1

Brainliest is much appreciated!

Answer:

2³

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , thus

[tex]2^{-2}[/tex]  × [tex]2^{5}[/tex] = [tex]2^{(-2+5)}[/tex] = 2³ [ = 8 ]

Answer:

h(n) = - 2n - 13

Step-by-step explanation:

Given

m + 1 = - 2( n + 6) = - 2n - 12 ( subtract 1 from both sides )

m = - 2n - 13, that is

h(n) = - 2n - 13

Answer:

{ (0,0),(1,4),(6,2)

Range = {0,2,4}