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3 years ago

A summer camp is organizing a hike and needs to buy granola bars for the

Mathematics

1 answer:

IgorLugansk [536]3 years ago

7 0

Answer:

The number of small boxes is 9 and the number of large boxes is 3

Step-by-step explanation:

Let x be the number of large boxes.

The camp bought 3 times as many small boxes as large boxes, then the number of small boxes is 3x.

Each small box has 6 granola bars, then there are $6\cdot 3x=18x$ granola bars in 3x small boxes.

Each large box has 12 granola bars, then there are $12x$ granola bars in x large boxes.

All boxes had 90 granola bars, so

$18x+12x=90\\ \\30x=90\\ \\x=3\\ \\3x=9$

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translate phrases into algebraic expressions, the difference between the cube of a number and the square of the number

Korolek [52]

Answer:

$x^3-x^2.$

Step-by-step explanation:

The word "difference" represents a subtraction. Then the algebraic expression will be of the form a-b.

Now, the difference is between the cube of a number and the square of the number, then let's call the number x. The square of the number is raise to two. Then the square of the number is $x^2$ .

The cube of the number is raise to three. Then the cube of the number is $x^3$ .

So, the difference between the cube of a number and the square of the number (we are talking about the same number in the square and the cube) is $x^3-x^2$ .

3 0

4 years ago

Trevor and $826 on account during 2.5% annual interest for seven years.

photoshop1234 [79]

Trevor invested $ 4720

Solution:

Given that, Trevor earned $ 826 on account during 2.5% annual interest for seven years

We can simple interest formula

The formula for simple interest is given as:

$\text{ Simple Interest } = \frac{p \times n \times r}{100}$

Where,

"p" is the principal

"n" is the number of years

"r" is the rate of interest

Here given that,

Principal = p = ?

rate of interest = r = 2.5 %

number of years = n = 7

Simple interest earned = 826

Substituting the values in above formula,

$826 = \frac{p \times 7 \times 2.5}{100}\\\\82600 = p \times 7 \times 2.5\\\\82600 = 17.5p\\\\p = \frac{82600}{17.5}\\\\p = 4720$

Thus he invested $ 4720

7 0

3 years ago

Karabo is training by running for the Comrades Marathon,he starts his training by running 40km per week.Each week he increases t

Maru [420]

Answer:

40 + (n-1)10

Step-by-step explanation:

Correct me if im wrong but im pretty sure this is it.

4 0

3 years ago

Factor the expression using the GCF 8 - 22

ANEK [815]

the gcf of 8-22 is 1

4 0

3 years ago

If the LCM and the HCF of two numbers are 9 and 3, respectively, what are the numbers?

dlinn [17]

Hey There!

Answer:

HCF = 9 (With the two numbers) - 18,9
LCM = 3 (with the two numbers) - 6,9

Step-by-step explanation:

HCF

If HCF is ''9'' that means that ''9'' is the divisible of two numbers.

So 18 and 19 can be divided by 9 and that's the highest divisible for both factors.

And always remeber the answer is a ''Prime factor.''

LCM

If LCM is ''3'' that means ''3'' is the lowest common multiple out of two numbers.

Hope this helps!

Have a nice Day!:)

4 0

3 years ago