DO NOT ANSWER WITHOUT SHOWING YOUR WORK

2. A supermarket display consists of boxes of cereal. The bottom row has 33 boxes. Each row has five fewer boxes than the row below it. The display has six rows.

(a) Write and use a function to determine how many boxes are in the top row. Show your work.

(b) Use the appropriate formula to determine the number of boxes in the entire display. Show your work

Answers

Answer 1

Answer:

a. f(x)=58-5(x-1); there are 58 boxes in the top row.

b. 273 boxes

Step-by-step explanation:

There are 33 boxes at the bottom row, and there are 5 fewer boxes than the row before it meaning that each row above the bottom row has five more boxes than the one below it.

Basically:

bottom row (with 33 boxes) -->5th row-->4th row-->3rd row-->2nd row-->1st row

each arrow adds five boxes, so if you add 5 boxes for each arrow, there is a total of 58 boxes on the 1st row.

check:

2nd row:

f(x)=58-5(x-1)

f(2)=58-5(2-1)

f(2)=58-5(1)

f(2)=58-5

f(2)=53

and we know that 58 (first row)-5=53 (second row; has to have five fewer boxes) so the function works.

now we can use the formula to find the other row values:

3rd row:

f(x)=58-5(x-1)

f(3)=58-5(3-1)

f(3)=58-5(2)

f(3)=58-10

f(3)=48

4th row:

f(x)=58-5(x-1)

f(4)=58-5(4-1)

f(4)=58-5(3)

f(4)=58-15

f(4)=43

5th row:

f(x)=58-5(x-1)

f(5)=58-5(5-1)

f(5)=58-5(4)

f(5)=58-20

f(5)=38

so, we have the row values from top to bottom:

58, 53, 48, 43, 38, 33

now we just have to add them up, giving us 273 boxes in total.


Related Questions

Cual es mayor? >, <, o =
-8 o 8 ?
1,3 o -1,2?
-5 o 0?
0 o 4?
0 o -0,1
3 o 5
3,2 o 3,12

Answers

Answer:

-8<8

1,3>-1,2

-5<0

0<4

0>-0,1

3<5

3,2>3,12

zero es mas grande que los numeros negativos

TS is the height of a building. PQR is a pole in front of the building. QT is a horizontal cable that supports the pole to the building. Find the height of the pole?​

Answers

Answer:

The answer is 65.75

Step-by-step explanation:

Since tq is perpendicular to PR then qtsr becomes square

Then

[tex]qr = 30 \: \: \: \: \: and \: qt = 30 \\ [/tex]

Since the triangle pqt is right angled

Then

[tex]pq = qt \tan(50) = 30 \times \tan(50 ) = 35.75[/tex]

Then the height of the pole is equal to

[tex]pq + qr = 35.75 + 30 = 65.75[/tex]

HELP OMG PLEASE ITS EASY IM JUST LAZY TO USE MY BIG BRAIN TY <3

Answers

Answer:

3. <0, <BOA, <ABO

45

4. <E, <NED,<DEN

80

here you guess and judge by your basic knowledge of angles and guess the angle measurement. and as far as the angle names with three points there should be three names and so the angle you are measuring must always be in the middle and ya :))

PLEASE HELP ME 100 POINTS

A. 6.3 in
B. 9.1 in
C. 12.6 in
D. 25in
E. 50.2 in

Answers

Radius=r=4in

Circumference

[tex]\\ \tt\hookrightarrow 2\pi r[/tex]

[tex]\\ \tt\hookrightarrow 2(3.14)(4)[/tex]

[tex]\\ \tt\hookrightarrow 6.28(4)[/tex]

[tex]\\ \tt\hookrightarrow 25.12in[/tex]

Answer:

Radius of the circle=4 in

Circumference=?

We know that,

[tex] \purple{Circumference_{(circle)}=2πr}[/tex]

[tex] \displaystyle\purple{Circumference_{(circle)}=2 \times 3.14 \times 4}[/tex]

[tex]\purple{Circumference_{(circle)}=6.28 \times 4}[/tex]

[tex]\purple{Circumference_{(circle)}=25.12 \: in.}[/tex]

It’s really hard...pls help

Answers

Answer:

80

Step-by-step explanation:

360 - (110+80+90) = 80

Answer:

80°

Step-by-step explanation:

360-110-90-80

Angles outside a circle add up to 360°

-4(y-2)=12
what does y equal

Answers

Answer:

y = -1

Step-by-step explanation:

-4 (y - 2) = 12

1. Multiply: -4y + 8 = 12

2. Subtract: -4y = 4

3. Divide: y = -1

What is the volume of this triangular pyramid?

Answers

The volume is 24 cubic meters :)

Add the equations. What value belongs in the green box? 3x + 2y = 9 -x - 2y = 4 [?] + [?] = [?] A. 4x B. 2x C. -3x D. -2x​

Answers

Consider the first blank is the green box.

Given:

The equations are

[tex]3x+2y=9[/tex]

[tex]-x-2y=4[/tex]

To find:

The value belongs in the green box

Solution:

We have,

[tex]3x+2y=9[/tex]        ...(i)

[tex]-x-2y=4[/tex]        ...(ii)

Adding (i) and (ii), we get

[tex]3x+2y-x-2y=9+4[/tex]

[tex](3x-x)+(2y-2y)=13[/tex]

[tex]2x+0=13[/tex]

So, the value for the first black is 2x. It means the value belongs in the green box is 2x.

The values of three blanks are 2x, 0 and 13 respectively.

Therefore, the correct option is B.

Answer:

2x + 0 = 13

Step-by-step explanation:

To add the equations, we add the corresponding terms on both sides of the equal sign.

The given equations:

3x + 2y = 9

-x - 2y = 4

Adding the equations term by term:

(3x + (-x)) + (2y + (-2y)) = 9 + 4

Simplifying the equation:

2x + 0 = 13

The term "0" in the equation indicates that the terms (2y and -2y) cancel each other out when added.

Which expressions are equivalent?
o šk-şi and şi +
o *-Žj and -3k+ şi
o 1/3 - 2/1 and 1 1 2 3 4
0 1 4 - 2 21 and 1 / 1 - 1 / 4
PLZZ HURRY
FOR 100points

Answers

Answer:

3 is equvalent...........

The expressions which are equivalent are; 1/3 - 2/1 and -1 2/3

Equivalent expressions

According to the question;

We are required to determine which expressions are equivalent.

The equivalent expressions are; 1/3 - 2/1 and -1 2/3.

Upon evaluation; 1/3 - 2/1;

1/3 - 2/1 = 1 - 6/3 = -5/3

-5/3 = -1 2/3

Read more on equivalent expressions;

https://brainly.com/question/11258067

Work out the value of 4^5

Answers

4^5 = 1024

Work : 4 * 4 * 4 * 4 * 4 = 1024

Answer: 2/15

Step-by-step explanation:

firstly divide lcm by denominator 1 = 15/5 = 3

then multiply by 3 nominator = 4*3 = 12

then divide lcm by denominator 2 = 15/3= 5

Multiply by 5 nominator = 5*2 = 10

lastly 12-10/15 ( both answer upon lcm)

2/15

So I need 20 words but I don’t get why so here’s this useless sentence

Answers

Answer:

peeeeeepppppssssss

Step-by-step explanation:

wussup

4. Which point is labeled at (-2, 3)?

Answers

Answer:

G

Step-by-step explanation:

I hope this helps, have a great day:) God bless you!

Answer:

g

Step-by-step explanation:

bc you go from -2 then up the Y axis 3 times and its g

I need help with this​

Answers

it is option 3 trust

me ayudan de nuervo porfavor

Answers

A= 162

B=88

To lazy to do c

What is a solution to the inequality m<25

Answers

Answer:

I think the answer is m= -91

Write a linear equation in slope Intercept form of a line with a slope of -3 and y Intercept of 0​

Answers

Answer:

y=-3x

Step-by-step explanation:

THe equation formula is y=mx+b, with m being the slope and b being the y-intercept. Because the y intercept is 0, you don't need to include it.

HELP PLEASE IM GOING TO FAIL WILL GIVE BRAINLESS

Answers

Answer:

x= 20

AD= 23

DC= 23

AC= 46

Step-by-step explanation:

because it's a median that means that x+3=2x-17 solve for x and get x=20 which (I think) means that AD, DC= 23 and that AC= 46

Suppose two trains, say A and B are initially 125 miles apart on the same east-west track. Train A is initially to the west of train B. Train A begins to head due east at 25 mph, and train B begins to head due west at 20 mph. To the nearest minute, how long will it take for the two trains to collide?

Answers

Answer:

[tex]167\ \text{minutes}\text{ or }166\ \text{minutes}\ \text{and}\ \text{40}\ \text{seconds}[/tex]

Step-by-step explanation:

Distance between the two trains is 125 miles.

So, when they will collide they would have covered a distance of 125 miles together.

The time that will pass for both the trains will be same but the distances covered will be different as their speeds are different.

[tex]\text{Distance}=\text{Speed}\times \text{Time}[/tex]

[tex]25t+20t=125\\\Rightarrow t=\dfrac{125}{45}\\\Rightarrow t=\dfrac{25}{9}\ \text{hours}=\dfrac{25}{9}\times 60\times 60=10000\ \text{s}=166.67\ \text{minutes}\\\approx 167\ \text{minutes}\\=166\ \text{minutes}\ \text{and}\ \text{40}\ \text{seconds}[/tex]

[tex]167\ \text{minutes}\text{ or }166\ \text{minutes}\ \text{and}\ \text{40}\ \text{seconds}[/tex]

Forest needs to repaint the right side of his house because sunlight and rain have caused the paint to peel. Each can of paint states that it will cover 150 square feet. Help forest decide how many cans of paint he should buy?

Answers

Answer:

Step-by-step explanation:

In order for Forest to decide how many cans of paint to buy he first needs to know how many square feet make up the wall that he wants to paint. He can calculate this by multiplying the length of the wall by the height of the wall. That will give him the square footage of the wall which can be represented as x in the following formula. Now that he has that, he needs to divide this value by 150 which is what each can of paint covers. The answer will be the number of cans that Forest should buy.

x / 150 = number of cans

The numbers of cans of paint he should buy can be calculated as follows :

x / 150.

where

x = Area of the wall needed to be painted in square feet.

Forest needs to paint the right side of his house because of sunlight and

rain.

According to his analysis each can of paint will cover an area of 150 ft².

This simply means for every 150 square feet of his wall, he will require 1

can of paint.

The number of paint he should buy can be determined as follows:

let

x = area of the right side of his wall needed to be painted

The number of can required = x / 150

learn more; https://brainly.com/question/11560953?referrer=searchResults

Simplify a^5/a^3 and c^4/c^3

Answers

Answer:

Step-by-step explanation:

a^5/a^3 = a^(5-3) = a²

c^4/c^3 = c^(4-3) = c¹

PLZ HELP 2/3*2
THXXX

Answers

Answer:

4/3 or 1 1/3

Step-by-step explanation:

2/3 x 2/1 gets you 4/3

That's an improper fraction, so you can simplify it to 1 1/3 if necessary.

PLEASE HELP ME ASAP!! MY CLASS IN 6 MINUTES!
At a gathering of 12 people, there are 5 people who all know each other and 7 people who know no one. People who do not know each other shake hands. How many handshakes occur?

Answers

Answer: someone told me its 35 so...

Step-by-step explanation:

Answer:

Step-by-step explanation: Since there are 7 people who shake hands with everybody including the people who know each other, we can add 11+10+9+8+7+6+5, because each handshake counts once, but the other five can't be counted because they are the people who already know each other and if you add 11+10+9+8+7+6+5, you will also get 16*3 +8 which equals to 56.

The function f(x) = 4 x 3^x models the population of tadpoles in a frog pond after x years. Write a recursive formula to model the situation

Answers

Answer:

[tex]f(n) = 3T_{n-1}[/tex]; [tex]T_1 = 12[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 4*3^x[/tex]

Required

Write as a recursive function

Substitute 1 for x.

[tex]f(1) = 4*3^1 = 4 * 3 = 12[/tex]

[tex]f(2) = 4*3^2 = 4 * 9 = 36 = 12 * 3[/tex]

[tex]f(3) = 4*3^3 = 4 * 27 = 108 = 36 * 3[/tex]

Following the above pattern:

[tex]f(n) = T_{n-1} * 3[/tex]

[tex]f(n) = 3T_{n-1}[/tex]

Hence, the recursive function is:

[tex]f(n) = 3T_{n-1}[/tex]; [tex]T_1 = 12[/tex]

help me please . i hope to find a solution :((​

Answers

Answer:

277.778 m/s

Step-by-step explanation:

just divide by 3.6

Six added to the quotient of 84 and seven

Answers

Answer:

84 divided by 7 is 12 + 6 = 18

WHOEVER ANSWERS FIRST GETS BRAINLIEST!! PLZ EXPLAIN CLEARLY

A standard sheet of paper in the United States is 11 inches long and 8.5 inches wide

Each inch is 2.54 centimeters. How long and wide is a standard sheet of paper in centimeters?
A standard sheet of paper in Europe is 21.0 cm wide and 29.7 cm long. Which has the greater area, the standard sheet of paper in the United States or the standard sheet of paper in Europe?

Answers

Answer:

Step-by-step explanation:

1 in = 2.54 cm

Part (a)

Answer: 8.268 in

Part (b)

Answer: 11.693 in

Part (c)

In SI units standard-sized paper is 21.0 cm by  29.7 cm, which is equivalent to 8.268 in by 11.693 in.

Answer: 8.268 in by 11.693 in.

Part (d)

The U.S sized standard paper is 8.0 in by  11.0 in. Therefore the SI (internationally) sized paper is longer.

Part (e)

If the U.S> adopts the SI standard for letter-sized paper, both the width and length of standard paper will have to be increased. Therefore letter-sized paper will occupy a larger area and will be heavier if the thickness and density do not change.

Please help!!!

There are 5,000 books in the town's library. Of these, 4,900 are fiction. To
find the percent of the books that are fiction, first set up the percent equation. Then find the percent.
Setup the percent equation. Choose the correct answer below.
A. 5,000 = m times 4,900
B. 5,000 = m divided by 4,900
C. 4,900 = m times5,000
D. 4,900 = m divided by5,000
(type whole number)

thank u so much!!

i will give brainliest to the correct answer!!

Answers

Answer:

C. 4,900 = m times 5,000

Step-by-step explanation:

Total books = 5,000

Fiction = 4,900

Calculations:

[tex]5,000. \frac{x}{100} =4,900[/tex]

[tex]\frac{x}{100} = \frac{4,900}{5,000}[/tex]

[tex]\frac{x}{100} =0.98[/tex]

[tex]x=98[/tex]

Now that we know x we can come up with the equation and can determine which one is correct. x = m = 98%

Therefore, 4,900 is 98% of 5,000.

So 5,000 x 98% = 4,900

And the equation that matches that is C.

The system of equations has .
the options are
1. one solution
2. no solution
3. infinitely many solutions

Answers

Answer: 3. Infinitely many solutions

Step-by-step explanation:

If you simplify the first equation you get the same equation of y=-2 which is infinitely many solutions

The answer is 3, I don’t know how I just need the option to ask someone

£1500 is invested for 3 years at 2% per year simple interest. Work out the total interest.

Answers

2÷100=0.02

1500×0.02=30

30×3=90

Answer:

£90

Step-by-step explanation:

Simple interest (I ) is calculated as

I = [tex]\frac{PRT}{100}[/tex] ( P is principal, R is rate of interest and T time in years )

Here P = 1500, R = 2 and T = 3 , then

I = [tex]\frac{1500(2)(3)}{100}[/tex] = 15 × 2 × 3 = 30 × 3 = £90

Fill in the missing term on each line. Simplify any fractions.
مام
+ 4 = 6
b
=
Subtract 4 from both sides
b =
Multiply both sides by 3

Answers

2+4=6
-4. -4
2=2
Divide by 2
1
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