MATHEMATICS HIGH SCHOOL

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:

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. : $a(n)= a+(n-1)d$

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.

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Jorge is making 6 large salads and 4 small salads. Each large salad needs 10 cherry tomatoes and each small salad needs 6 cherry tomatoes. How many cherry tomatoes does Jorge need?

Answers

Answer: Jorge needs a total of 84 cherry tomatoes.

Step-by-step explanation: Given that Jorge is making 6 large salads and 4 small salads. Each large salad needs 10 cherry tomatoes and each small salad needs 6 cherry tomatoes.

We are to find the total number of cherry tomatoes that Jorge need.

Since each large salad needs 10 cherry tomatoes, so the number of cherry tomatoes needed for 6 large salads is given by

$CT_l=6*10=60.$

Similarly, each small salad needs 6 cherry tomatoes, so the number of cherry tomatoes needed for 4 small salads is given by

$CT_s=4*6=24.$

Therefore, the total number of cherry tomatoes that Jorge need will be

$CT_l+CT_s=60+24=84.$

Thus, Jorge needs a total of 84 cherry tomatoes.

6large salads x 10 cherry tomatoes
4 small salads x 6 cherry tomatoes

60 + 24 tomatoes
84 total

A polynomial function has roots –5 and 1. Which of the following could represent this function?

Answers

Answer: f(x)=(x+5)(x-1)

Step-by-step explanation:

got it right on edge

Answer:

-5

Step-by-step explanation:

(-7x²-7x-7)-[(7x³-9x²-20)+(4x-11)]]=?(5x⁴+8x²+2)+7(5x⁴-3x²)=?
Please explain the work behind the solution

Answers

$(-7x^2-7x-7)-[(7x^3-9x^2-20)+(4x-11)]]=\n=-7x^2-7x-7-(7x^3-9x^2-20+4x-11)=\n=-7x^2-7x-7-7x^3+9x^2+20-4x+11=-7x^3+2x^2-11x+24\n\n (5x^4+8x^2+2)+7(5x^4-3x^2)=5x^4+8x^2+2+35x^4-21x^2=\n=39x^4-13x^2+2$

Write an equation in standard form then solve 2q^2+22q+=-60

Answers

In standard form the equation reads 2q²+22q+60=0. In order to solve for q you have to factor the expression on the left first. Take out a factor of 2 and you have 2(q²+11q+30). Factor the inside and you have 2[(q+6)(q+5)]. Set the factors equal to 0 and solve and you finish with q=-6 or q=-5.

Write the explicit formula for the sequence. -1, 4, -16, 64,...

Answers

the explicit formula is f (n)=n1×(-4)(n-1)

What multiplies to be 560 and adds to 9

Answers

There are no real numbers that can do that job.

There's a pair of complex numbers that can do it.
They are

   4.5 + i23.23
and
   4.5 - i23.23 .

   ' i ' = the imaginary unit = √(-1)

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Describe what happens to a parent function when you change k from 0 to –4.A. The graph will stay the same. B. The graph will shift up 4 units. C. The graph will shift down 4 units. D. The graph will shift right 4 units.

in how many ways can 6 people work at 3 different offices if 2 people are in each office and 2 individuals refuse to work together?

Out of 56 players on the football team, 24 are on honor roll and 18 have perfect attendence. 7 who are on honor roll also have perfect attendence. If a player is chosen at random, what is the probability that they are on honor roll, if it is known that they also have perfect attendance?

Victoria and margaret left their apartment at the same time traveling in the same direction. victoria drove at 55 mph and margaret drive at 70mph. how many miles was it before margaret was 30 miles ahead of victoria?