A students wants to help her mother in their family store in displaying canned goods. Her mother instructed that the canned should be piled in triangular pile by starting 40 canned goods in the bottom row, 36 in the second row, 32 in the third row, and so on. If the pattern is consistent, how many canned goods will be there in the 7th row?

Answers

Answer 1

Answer: The number of canned goods in 7th row = 64.

Step-by-step explanation:

The given numbers of canned goods in every row( starting from first ) is represented as

40 , 36, 32, ...

There is a common difference between numbers(d)= 4

∴ Its is an Arithmetic progression.

First term (a) = 40

nth term in A.P. : [tex]a(n)= a+(n-1)d[/tex]

7th term in this A.P. = 40+(7-1)(4)=40+(6)(4)=40+24=64

So, the number of canned goods in 7th row = 64.


Related Questions

(-3)^4 in expanded form

Answers

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[tex] ({ - 3})^{4} = ( - 3) \times ( - 3) \times ( - 3) \times ( - 3) \\ [/tex]

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Answer:

3x3x3x3

Step-by-step explanation:

1. 4 is the exponent so you would put down (-3) 4 times but, since the -3 is in parentheses it automatically becomes positive.

2. So, instead of writing (-3)x(-3)x(-3)x(-3) or -3x-3x-3x-3 you would write 3x3x3x3.

I hope this helps:)

For 2 minutes, a satellite traveled at a steady speed. It traveled 380 kilometers around Earth in that time. What was the satellite's speed?

Answers

Answer: The satellites speed was 190 kilometers per minute.

Step-by-step explanation:

The formula for speed is calculated as:

Speed = Distance/Time

where,

Distance = 380 kilometers

Time = 2 minutes

Speed = Distance/Time

Speed = 380km/2min

Speed = 190km/min

The satellites speed was 190 kilometers per minute.

Therefore, the correct answer is C.

Write the equation of the line that passes through the points (-7, -3) and
(-2,-1)

Answers

Answer:

y = 2/5x - 1/5

Step-by-step explanation:

The first step is to find the slope. We can do this by doing y2- y1/x2 - x1, you can name any number 1 or 2 as long as the x and y are right.

-1 - (-3)/-2 - (-7) = 2/5

Now that we know that the slope is 2/5 we can use the formula

y - y1 = m(x - x1)

y + 3 = 2/5(x +7)

y + 3 = 2/5x + 2 4/5

y = 2/5x - 1/5

a snowboard at a local shop normally cost $400. Over Labor day weekend, the snowboard is on sale for 60% off. What is the sale price of the snowboard​

Answers

Answer:

$160

Step-by-step explanation:

question above help me please

Answers

Answer:

The second line where 3 multiplies -m/3=3 times -4

Step-by-step explanation:

Multiplying a negative by a postive will result in negative so multiplying a negative by a negative will result in a postive. Multiplying 3 by -m/3 will result in -m so you should multiply -m/3 by -m so the varuable will be postitive. The answer would be m=12. Hope this helps.

If the sum of twice a number and 3 is 15. what is the value of 8x? ​

Answers

Answer:

48

Step-by-step explanation:

2x + 3 = 15

2x = 15-3

2x = 12

x = 12 ÷ 2

x = 6

8x = 6 × 8

8x = 48

Sarah makes a party punch that requires 1 gallon of orange juice for every 2.5 gallons of lemonade. Dean's favorite punch recipe calls for a gallons of orange juice
for every 1 gallon of pineapple juice. What would the ratio of orange juice to lemonade or pineapple juice be for 4 batches of each punch recipe?

Answers

Answer

10

Step-by-step explanation:

4x2.5=10

What is the degree of
the polynomial
below?
3- 14x4 – 2x8 + 20x +
4x2

Answers

The answer is crazy because the equivalent to that is 123

A school printed 315 tickets to the spring dance. There are 255 tickets left. Which equation can be used to find how many tickets have been sold?

Answers

You didn't add any options but here's one that would work.

315 - 255 = 60

When there is a problem asking how many are left, taken, sold, given, etc. You are usually dealing with subtraction.

Hope that helps and have a great day!

Answer:

The last choice (x+255=315 )

Step-by-step explanation:

This is because we know the total number of tickets is 315 and they have 255 left. So, x + 255 = 315. Because you subtracted __ from 315 to get 255. You can rewrite that as __ + 255 = 315 or  x + 255 = 315

AIJK = APQR. If mZI = 3x + 4

Answers

X = 17

Hope this helped :)

What is the quotient of 513 divided by 19

Answers

Answer:

27 remainer of 0

Step-by-step explanation:

The number 513 is called the numerator or dividend, and the number 19 is called the denominator or divisor.

The quotient of 513 and 19, the ratio of 513 and 19, as well as the fraction of 513 and 19 all mean (almost) the same: 513 divided by 19, often written as 513/19.

Read on to find the result of 513 divided by 19 in decimal notation, along with its properties.

Which property is demonstrated?
(12 x 7) * 5 = 12 x (7 x 5)

Answers

Answer:

Associative

Step-by-step explanation:

This would be the associative property of multiplication.

(a*b)*c=a*(b*c)

Can someone pls explain to me how Identify the domain and range of a graph!!, ​

Answers

Answer:

Ok

Step-by-step explanation:

So, the domain is the set of all possible values that can be inputted into the function. Or where is function on the x axis is the function defined. The range is similar but on the y axis. In this case, the function you have there appears to go on to infinity (I assume that is what the arrow means) and so the range would be [-1, -infinity) and domain [1, infinity). Brackets are important here because it shows that the function is still defined at point (1,-1), therefore, I used [ bracket symbol (I again assumed that the shaded in black dot at point (1,-1) means that the function is closed at that point and that when it is not shaded in, it is open). I feel like I didn't explain very well but good luck and hopefully someone does a better job that what I did.

Karen and Wayne need to buy a refrigerator because theirs just broke. Unfortunately,their savings account is depleted, and they will need to borrow money in order to buy a new one. Sears offers them an installment loan at 15% (add-on rate). If the refrigerator at Sears costs $1,500 plus 5% sales tax, and Karen and Wayne plan to pay for the refrigerator for 2 years, what is the monthly payment?

Answers

Answer:

$53.14

Step-by-step explanation:

Add-on-rate = 16%

Cost = $1,578 + Sales tax = 5%(5% of $1578 = $78.90)

Time = 3 years

Total amount borrowed = 1578 + 78.90 = $1656.90

Charges = 16%

So, 16% of 1656.90

= 16/100 * 1656.90

= $265.10

Total amount would be = 1656.90 + 256.10 = $1913

No. of months in 3 years = 36months

∴ Monthly payment = [tex]\frac{1913}{36}[/tex]

= $53.14.

A plane can carry 360 passengers. On a particular day, there are 240 passengers on the plane. Identify the correct inequality and the solution to show how many more passengers the plane can carry?

Answers

Answer:

p + 240 ≤ 360; p ≤ 120

Step-by-step explanation:

The inequality that shows the number of more passengers to carry by plane is 240 + x = 360.

The number of more passengers is 120.

What is inequality?

It is a statement of an order relationship

- greater than,

- greater than or equal to,

- less than,

- less than or equal to between two numbers or algebraic expressions.

We have,

Number of passengers in a plane = 360

Number of passengers in a day = 240

The inequality represents the number of more passengers that can carry:

240 + x = 360

Where x is the number of more passengers.

Find x.

240 + x = 360

Subtract 240 on both sides.

240 + x - 240 = 360 - 240

x = 120

Thus,

The inequality that shows the number of more passengers to carry by plane is 240 + x = 360.

The number of more passengers is 120.

Learn more about inequality here:

https://brainly.com/question/22010462

#SPJ2

The graph shows the cost of gasoline at a gas station. Find the cost in dollars per gallon.

Answers

Answer: 7 dollars per gallon

Step-by-step explanation:.

y=8x-18 find the intercepts of the line

Answers

y-intercept = -18

x-intercept = 9/4

-18 is the y intercept

The slope is in y=mx+b form,

And b is the y intercept. Mx is the slope(m) and x is the variable, in this case 8x

So slope is 8, and y intercept is -18

Given m < PQS = 45° and m

Answers

Answer:

19 degrees

Step-by-step explanation:

Answer:

19° is the answer of m angle PQR.

Thank you ☺️☺️

sole the equation. check your solution 2.5 y + 6=4.5y-1 ​

Answers

Answer:

3.5 = y

Step-by-step explanation:

2.5y + 6 = 4.5y - 1

2.5y + 7 = 4.5y

7 = 2y

3.5 = y

Check:

2.5y + 6 = 4.5y - 1

2.5(3.5) + 6 = 4.5(3.5) - 1

2.5(3.5) + 7 = 4.5(3.5)

8.75 + 7 = 15.75

15.75 = 15.75

Answer:

[tex]y=3.5[/tex]

Step-by-step explanation:

[tex]2.5y+6=4.5y-1[/tex]

Start by subtracting [tex]6[/tex] from both sides of the equation:

[tex]2.5y=4.5y-7[/tex]

Subtract [tex]4.5y[/tex] from both sides of the equation:

[tex]-2y=-7[/tex]

Divide both sides of the equation by the coefficient of [tex]y[/tex], which is [tex]-2[/tex]:

[tex]y=3.5[/tex]

_

Check your solution by substituting the solved value of [tex]y[/tex] ([tex]3.5[/tex]) into the initial equation:

[tex]2.5(3.5)+6=4.5(3.5)-1[/tex]

[tex]8.75+6=15.75-1[/tex]

[tex]14.75=14.75[/tex]

Since both sides of the equation are equal to each other, our solution is correct!

The length of a rectangle is 3 less than twice the width. The perimeter of the rectangle is 66. Find the length and width of the rectangle.

Answers

Answer:

15.

Step-by-step explanation:

L + L + W + w = 66

L= w+3

W+3 + w+3 + w + w = 66

4xw + 6 = 66

4xw = 66 - 6

4xw = 60

W + W +w +w =60

W= 60/4

W=15

L = 15+3 (=18)

15+15+18+18=66

Charlie had 150 feet of wire. If he cut the wire into 12 equal pieces, how long was each piece of wire?

Answers

12.5 would br your answer

In the fraction below, which number is the numerator?
3
4

Answers

Answer:

3

Step-by-step explanation:

because 3 i less than 4

Which expressions are equivalent to the given expression?


√252
more than one answer

Answers

15.87 or 15.8 that’s from me finding the square root if that helps any

Write the equation of a line that includes the point (1, 5) and has a slope of 3 in slope-intercept form

Answers

Answer:

y=3x+2

Step-by-step explanation:

y=mx+b

We have our m, which is slope, but we need our y intercept, b.

Substitute your slope, x, and y into the formula and solve for b.

5=3(1)+b

5=3+b

-3 -3

2=b

Now we can plug into equation.

y=3x+2

9783
8 sth
2400
A tank is completely filled with water. A pump is used to drain the tank. The amount of
water remaining in the tank is given by the equation y=600-25x, where x is the number
of minutes since the pump started and y is the volume, in gallons, of water remaining
in the tank. In the equation, what are the meanings of the numbers 25 and 600?

Answers

Answer:

yes

Step-by-step explanation:

10 points show your work please thank you

Answers

Answer:

Step-by-step explanation:

12*15

180

Answer:

X=9

Step-by-step explanation:

15^2=12^2+x^2

225 = 144 +x^2

225-144=x^2

81 =x^2

squareroot(81) = x

Solve the inequality for x: 4x + 8 > 2(3x + 1)

Answers

Answer:

x < 3

Step-by-step explanation:

Step 1: Write inequality

4x + 8 > 2(3x + 1)

Step 2: Solve for x

Distribute 2: 4x + 8 > 6x + 2Subtract 4x on both sides: 8 > 2x + 2Subtract 2 on both sides: 6 > 2xDivide both sides by 2: 3 > xRewrite: x < 3

Here we see that any value smaller than 3 will be a solution.

A 10-inch candle burns down in 10 hours. At what rate does the candle burn, in inches per hour? URGENT PLEASE ANSWER ASAP!!!

Answers

Answer:

1 inch per hour

Step-by-step explanation:

1 hour it burns 1 inch

find the product and enter your answer in the space provided 316 x 10

Answers

Answer:

The answer to this is: 3160 and can i have brainliest?? please

Step-by-step explanation:

1 1/2 x 2 2/3 in its simplest form

Answers

Answer:

4

Step-by-step explanation:

1 1/2 x 2 2/3

3/2 x 8/3

9/6 x 16/6

144/36

4

Answer:

6

Step-by-step explanation:

3/2 x 8/2=24/4

24/4 =6

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