One Sunday, 120 days before Christmas, Aldsworth store publishes an advertisement saying ‘120 shopping days until Christmas'. Aldsworth subsequently publishes similar advertisements every Sunday until Christmas. a. How many times does Aldsworth advertise? b. Find the sum of the numbers of days published in all the advertisements. c. On which day of the week is Christmas?

Answers

Answer 1

Answer:

(a)18

(b)1089

(c)Sunday

Step-by-step explanation:

The problem presented is an arithmetic sequence where:

First Sunday, a=1Common Difference (Every subsequent Sunday), d=7

We want to determine the number of Sundays in the 120 days before Christmas.

(a)In an arithmetic sequence:

[tex]\text{The nth term}, T_n=a+(n-1)d\\T_n \leq 120\\$Therefore:$\\1+7(n-1) \leq 120\\1+7n-7\leq 120\\7n-6\leq 120\\7n\leq 120+6\\7n\leq 126\\$Divide both sides by 7$\\n\leq 18[/tex]

Since the result is a whole number, there are 18 Sundays in which Aldsworth advertises.

Therefore, Aldsworth advertised 18 times.

(b)Next, we want to determine the sum of the first 18 terms of the sequence

1,8,15,...

[tex]\text{Sum of a sequence}, S_n=\frac{n}{2}( 2a+(n-1)d)\\S_{18}=\frac{18}{2}( 2*1+(18-1)*7)\\=9(2+17*7)\\=9(2+119)\\=9*121\\S_{18}=1089[/tex]

The sum of the numbers of days published in all the advertisements is 1089.

(c)SInce the 120th day is the 18th Sunday, Christmas is on Sunday.


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The slope is 3 and the y-intercept is 2 or (0, 2)

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The y-intercept of the equation is -2.

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3 to the power of 14

Step-by-step explanation:

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3 to the power of 14

Step-by-step explanation:

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Which process will create a figure that is congruent to the figure shown?

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Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

In the motion of an object to the various points without altering its size or shape when its translation takes place in geometry, and all other container throughput shift their vertices or alter their shape.

The scale of the figure doesn't alter the transitions, and  Its statistics remain consistent if the scale and shape of its figure are not modified. In this figure, each point is shifted 2/3 away from the y-axis.

Answer:

The 2nd one. (A translation of 4 units up...)

Step-by-step explanation:

I had a better answer last time in answered this, but a rude user named katie deleted it. (She always does that)

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Answer:

Option (1).

Step-by-step explanation:

In the figure attached,

Houses of three friends Jo, Boris and Carrie are located at the vertices of a triangle.

They want to meet at a place which equidistant from these vertices.

A point in a triangle which is equidistant from the vertices is its Circumcenter.

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Can you guys plz help me thanks

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Answer:

We can just multiply 11/6 by 180 which is 330°.

PLZZ ANSWER QUICK TIMED a submarine is positioned –1525 feet in relation to sea level. The submarine needs to be –1865 feet below sea level in 20 minutes. Which best represents the rate at which the submarine needs to travel? –169.5 ft/min –17 ft/min 17 ft/min 169.5 ft/min

Answers

Answer:

17ft/min

Step-by-step explanation:

1865-1525 =  340

multiply the rest by 20 and see which gets 340 ft. so the only correct one is 17ft/min

what is the area of this title ?

Answers

Answer:

12 in^2

Step-by-step explanation:

A = l*w

   = 2in * 6 in

  = 12 in^2

Answer:

Area = 12 in.²

Step-by-step explanation:

Area = length × width

Where w = 2 and L = 6

So,

Area = 2 × 6

Area = 12 in.²

A bottle contains 255 coins 1/3 of the coins are £1 coins 110 of the coins are 50p coins the rest of the coins are 20p coins work out the total value of the coins contained in the bottle.

Answers

Answer:

£169

Step-by-step explanation:

255/3 = £85

110 x 50 p = 5500 p

255 - 110 = 145 coins which are 20 p

145 x 20 p = 2900 p

5500 p = £55

2900 p = £29

£85 + £55 + £29 = £169

Answer:

I sun 169 ofc

Step-by-step explanation:

Sarah drank 75% of a one pint carton of milk at lunchtime. How many ounces of milk were left in the carton? PLZZ help! Will mark as brainliest! PLEASE HELP.

Answers

There's 4oz left
75%=3/4
so 3/4 of 16oz (one pint) is 4.

4 ounces left

75%=3/4

so 3/4 of 16oz is 4.

Kashloopski Iardatsky Fartucci

Work out m and c for the line: y = 9 − x

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Answer:

m = -1

c = 9

Step-by-step explanation:

m is slope, which is the coefficient of x

c is the y-int, which is the constant

Please answer this!! Thanks!!!!!!!!

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Answer:

V = 4186.67

Step-by-step explanation:

Volume of a sphere formula: V = 4/3πr³

We are given r, so just plug it in

V = 4/3π(10)³

And we have our answer!

Answer:

4186.66666 or you can round to 4186.67

Step-by-step explanation:

Use the formula and insert the radius (10) to get your final answer.

Which of the following can you determine, when you use deduction and start
from a given set of rules and conditions?
A. None of these
OB. What may be false
C. What may be true
D. What must be true

Answers

D. What must be true is the correct answer

HELP MEE PLEASEEE!! I WILL GIVE BRAINLIEST!!!

Use the functions f(x) and g(x) to determine which function has the smallest zero and provide its coordinates. f(x) = 2x2 − 14x + 20


x 18 19 20 21 22

g(x) −17 0 19 40 63


A. f(x); (2, 0)

B. f(x); (−5, 0)

C. g(x); (19, 0)

D. g(x); (−17, 0)

Answers

Answer:

A. f(x); (2, 0)

Step-by-step explanation:

First, we determine the zeros of f(x)

[tex]f(x)= 2x^2 - 14x + 20=0\\2(x^2 - 7x + 10)=0\\x^2 - 7x + 10=0\\x^2-5x-2x+10=0\\x(x-5)-2(x-5)=0\\(x-5)(x-2)=0\\x-5=0$ or x-2=0\\x=5 or x=2[/tex]

The zeroes of f(x) are 5 and 2.

Therefore, the smallest zero of f(x) is 2.The zero of g(x) is 19

We can then conclude that f(x) is the function which has the smallest zero.

Its coordinate is (2,0).

Answer:

A. f(x); (2, 0)

Step-by-step explanation:

Write an exponential function in the form y=ab^x that goes through points (0,7) and (5,1701).

Answers

Answer:

y = 7 [tex]3^{x}[/tex]

Step-by-step explanation:

Use the given ordered pairs to find a and b

Using (0, 7 ), then

7 = a [tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ), thus

a = 7

y = 7 [tex]b^{x}[/tex]

Using (5, 1701 )

1701 = 7 [tex]b^{5}[/tex] ( divide both sides by 7 )

243 = [tex]b^{5}[/tex] ( take the fifth root of both sides )

b = [tex]\sqrt[5]{243}[/tex] = 3 , thus

y = 7 [tex]3^{x}[/tex]

Answer: y=7(3)^x

Step-by-step explanation:

Just did it

Evaluate the following expression. (-3) exponent 2 a0

Answers

Answer:

(-3)² = 9

Step-by-step explanation:

[tex](-3)^{-2} = \frac{1}{9}[/tex]

Answer:

1/9

Step-by-step explanation:

(-3) ^ -2

The negative exponent means  a^-b = 1/a^b

1/(-3)^2

1/(-3*-3)

1/9

Sophia has an ear infection. The doctor prescribes a course of antibiotics. Sophia is told to take 500 mg doses of the antibiotic regularly every 12 hours for 10 days. Sophia is curious and wants to know how much of the drug will be in her body over the course of the 10 days. She does some research online and finds out that at the end of 12 hours, about 4.5% of the drug is still in the body. What quantity of the drug is in the body right after the first dose, the second dose, the third dose, the fourth dose (10 points)? When will the total amount of the antibiotic in Sophia’s body be the highest? What is that amount (10 points)? Answer Sophia’s original question: Describe how much of the drug will be in her body at various points over the course of the 10 days (10 points).

Answers

Answer:

see below

Step-by-step explanation:

Dosage= 500 mg

Frequency= twice a day (every 12 hours)

Duration= 10 days

Number of dosage= 10*2= 20

residual drug amount after each dosage= 4.5%

We can build an equation to calculate residual drug amount:

d= 500*(4.5/100)*t= 22.5t, where d- is residual drug, t is number of dosage

After first dose residual drug amount is:

d= 500*0.045= 22.5 mg

After second dose:

d= 22.5*2= 45 mg

As per the equation, the higher the t, the greater the residual drug amount in the body.

Maximum residual drug will be in the body:

d= 20*22.5= 450 mg at the end of 10 days

Maximum drug will be in the body right after the last dose, when the amount will be:

500+19*22.5= 927.5 mg

What is the point-slope form of a line that has a slope of One-half and passes through point (–7, 2)? PLS HELP

Answers

Answer:

y -2= 1/2(x+7)

Step-by-step explanation:

The point slope form of a line is

y-y1 = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

y - 2 = 1/2(x - -7)

y -2= 1/2(x+7)

Answer:

D)  y - 2 = 1/2(x - (-7))

Step-by-step explanation:

I just took the quiz on edge

What is f(x) + f(x) + f(x)?

Answers

Answer:

3fx

Step-by-step explanation:

f(x)+f(x)+f(x)

remove parenthesis: (a)=a

add similar elements: fx+fx+fx

=3fx

Answer: for edge

3f(x)

3x2

12

PLEASE HELP ME ASAP :(

1. Write the equation in slope intercept form. 4x-3y=12


2. Identify the slope and y-intercept.


3. Graph the line


4. Identify if it is a positive or negative slope.


Can you please help me ASAP ? And explain the steps

Answers

Step-by-step explanation:

y=4/3x+4

y int =4

x int = -1

the graph is an increasing graph line that touch 4 in y and -1 in x

m=4/3

Don wants to buy 5 baseballs. He has $20. What is the most each baseball can cost?

Answers

Answer:

4 dollars is the highest

Answer:4 Is the highest each baseball can cost

Step-by-step explanation: He has $20 and wants to buy 5 baseballs. This leads the equation to be 20/5. Which, after solving the equation makes the highest cost of each ball $4

help asap. is this b or d. im not really sure so i put d. ​

Answers

Answer:

I'm not 100% sure but I'm pretty sure its 'D'

Answer:

the answer is b

Step-by-step explanation:

Q6) Renee buys 5kg of sweets to sell. She pays £10 for the sweets. Renee puts all the sweets into bags. She puts 250g of sweets into each bag. She sells each bag of sweets for 65p. Renee sells all the bags of sweets. Work out her percentage profit.

Answers

Answer:

30% percent profit

Step-by-step explanation:

100 pence in a pound.

1000 grams in a kilogram.

She bought 5000g of sweets.

She pays 10×100=1000 pence.

She put them into 5000÷250=20 bags.

She sells the bags for 65 pence each.

She sells them all for 20×65=1300 pence.

She gets a profit of 300 pence or 3 pounds.

She gets a percent profit of 30%.

The laundry has been sorted into dark clothes and light clothes. The number of dark clothes is three more than twice the number of light clothes. The laundry is 60% dark clothes. Choose the equation that best represents this scenario. x over quantity 2x plus 3 equals 40 over 60 x over quantity 2x plus 3 equals 60 over 40 x over quantity 2x plus 3 equals 40 over 100 x over quantity 2x plus 3 equals 60 over 100

Answers

Answer:

x over quantity 2x plus 3 equals 40 over 60

Step-by-step explanation:

Let light clothes=x

Number of dark clothes = 2x + 3,

Dark clothes are 60% of total clothes

Light clothes=100%-60%

=40%

Light clothes / dark clothes = percentage of light clothes / percentage of dark clothes

x / 2x+3 = 40 / 60

x over quantity 2x plus 3 equals 40 over 60

    Expression for this situation will be [tex]\frac{x}{2x+3}=\frac{60}{40}[/tex].

Let the number of dark cloths = y

And the number of light cloths = x

"The number of dark cloths is three more than twice the number of light cloths".

Therefore, equation will be,

y = 2x + 3 ----- (1)

"The laundry is 60% dark cloths"

Equation for this statement will be,

y = [tex]\frac{60}{100}(x+y)[/tex]

y = 0.6x + 0.6y

y - 0.6y = 0.6x

0.4y = 0.6x

[tex]\frac{y}{60}=\frac{x}{40}[/tex]

Now substitute the value of y from equation (1),

[tex]\frac{2x+3}{40}=\frac{x}{60}[/tex]

[tex]\frac{2x+3}{x}=\frac{40}{60}[/tex]

[tex]\frac{x}{2x+3}=\frac{60}{40}[/tex]

  Therefore, expression for this situation will be [tex]\frac{x}{2x+3}=\frac{60}{40}[/tex].

Learn more,

https://brainly.com/question/11495

5 > 2p + 1
The first answer is p=2 what is the other answer?

Answers

Answer:

Let's solve the inequality.

5 > 2p + 1

4 > 2p

2 > p

Some answers are p = 1, p = 0, p = -1, etc.

Jada has a stand in the marketplace where she sells ground cumin. Her weekly expenses are $300, and she sells her cumin at a fixed price per kilogram. If she sells 120 kilograms of cumin, her weekly net profit is $600. What is the price of a kilogram of Jada's cumin? How much cumin does Jada have to sell to cover her weekly expenses?

Answers

Answer:

$7.5

40 kg

Step-by-step explanation:

Expenses= $300 per week

120x= 300+600

120x=900

x= 900/120= $7.5 per kg

300/7.5= 40 kg to be sold to cover weekly expenses

If 1/8 cup of popcorn makes 6 quarts, how many quarts will 3/8 cup make?

Answers

Answer:

18 quarts, 3 x 6 is 18.

Step-by-step explanation:

PLEASE HELP AS SOON AS POSSIBLE !!

Answers

Answer:

D

Step-by-step explanation:

(160x243)^1/5=8.27

D also equivalates to 8.27

Answer:

so the answer for that is D.

Step-by-step explanation:

160 X 243= 38880

38880^.2 (or 1/5) = 8.27

D. 5 carrot thing 5= 1.379..x 6= 8.27

If x varies inversely as p and x=2 when p=4 find the formula connecting them​

Answers

Answer:

x = [tex]\frac{p}{2}[/tex]

Step-by-step explanation:

x ∝ p

x = kp -------(1)

Where k is the constant of proportionality.

Now, x = 2 when p = 4

Putting in the above formula

2 = k(4)

Dividing both sides by 4

k = [tex]\frac{2}{4}[/tex]

=> k = [tex]\frac{1}{2}[/tex]

Putting k in (1)

x = [tex]\frac{p}{2}[/tex]

Now this is the required equation connecting both.

Find the size of angle BAC Give your answer to 3 significant figures

Answers

Answer:

angle BAC = 50.5°

Step-by-step explanation:

To find the size of angle BAC, we will follow the steps below;

First, we will use Pythagoras theorem to find side AC

from the diagram, AB = 14 cm       BC = 17 cm

Using Pythagoras theorem,

AC² = AB² + BC²

        = 14² + 17²

         =196 +289

           =485

AC² = 485

Take the square root of both-side

AC = √485

AC = 22 .023

AC = 22.023 cm

angle <B = 90°

Using the sine rule,

[tex]\frac{sin A}{a}[/tex]   =  [tex]\frac{sin B}{b}[/tex]

A = ?

a=BC = 17 cm

B = 90°

b = AC = 22.023 cm

we can now [proceed to insert the values into the formula and then solve for A

[tex]\frac{sin A}{a}[/tex]   =  [tex]\frac{sin B}{b}[/tex]

[tex]\frac{sin A}{17}[/tex]  = [tex]\frac{sin 90}{22.023}[/tex]

cross - multiply

22.023× sinA = 17× sin90

Divide both-side of the equation by 22.023

sin A = 17 sin90 / 22.023

sin A = 0.771920

Take the sin⁻¹ of both-side of the equation

sin⁻¹sin A = sin⁻¹0.771920

A = sin⁻¹0.771920

A≈ 50.5°

Therefore, angle BAC = 50.5°

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