4 times [(5 times 3) + (24 divided by 4)]

The number must be added to [tex]2\frac{3}{8}[/tex] to make 6 is [tex]3\frac{5}{8}[/tex].

We need to find what we need to add to [tex]2\frac{3}{8}[/tex] to make 6.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

The fraction [tex]2\frac{3}{8}[/tex] can be written as 19/8

Let x be the number added to given fraction, that is

19/8 +x=6

⇒ x=6-19/8

⇒ x= (48-19)/8

⇒ x= 29/8

⇒ x= [tex]3\frac{5}{8}[/tex]

Hence, the number must be added to [tex]2\frac{3}{8}[/tex] to make 6 is [tex]3\frac{5}{8}[/tex].

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The simplified form of [tex]\frac{6}{18}[/tex] is [tex]\frac{1}{3}[/tex].

To simplify the fraction [tex]\frac{6}{18}[/tex], follow these steps:

Find the greatest common divisor (GCD) of the numerator and the denominator. The numerator is 6 and the denominator is 18. The greatest common divisor of 6 and 18 is 6.

Divide both the numerator and the denominator by their GCD.

When we divide the numerator 6 by 6, we get [tex]\frac{6}{6} = 1[/tex].

When we divide the denominator 18 by 6, we get [tex]\frac{18}{6} = 3[/tex].

Write the simplified fraction: After dividing both parts by 6, the fraction [tex]\frac{6}{18}[/tex] simplifies to [tex]\frac{1}{3}[/tex].

Answer:

The rate of riders to cars is 14 divided by 2. So the unit rate is 7 riders per car. Multiply 7 riders by 12 cars to find that 84 riders can fit on the roller coaster at one time.

The net change in the value of the account, when rounded to the nearest dollar, is $550.

To find the net change in the value of the account, you would sum up the amounts deposited, subtract the amounts withdrawn, and add the interest earned:

Net change = (Deposits - Withdrawals) + Interest earne

Net change = ($500 - $250) + $300

            = $250 + $300

            = $550

Therefore, the net change in the value of the account, when rounded to the nearest dollar, is $550.

The probable question maybe:

"What is the net change in the value of an investment account after depositing $500, withdrawing $250, and earning $300 in interest, when rounded to the nearest dollar?"

Answer:

There are 15 boxes of 10 oz boxes

Step-by-step explanation:

Let the number of boxes of 10 oz = x

and let the number of boxes of 16 oz = y

By the statement

"Total number of boxes sold is 24"

Equation for the statement will be

x + y =24 ---------------(1)

By the  statement

"she collected $97.50 while rate of 10 oz box is $3.50 and rate of 16 oz box is $5.00."

Equation for the statement will be

1.5x + 5y = $97.50 ------------(2)

From equation (1) we put the value of y = 24 - x in equation (2)

1.5x + 5(24 - x) =  97.50

1.5x + 120 - 5x = 97.50

-3.5x = 97.50 - 120

3.5x = 22.50

x = [tex]\frac{22.5}{1.5}[/tex]

x = 15

Therefore, number of 10 oz boxes is 15.

Answer:

B −1.3−(4.9+2.6)

Answer:

-1.3-(4.9+2.6)

I

The expression representing Rose's stamp collection is given by R = (1/2)x - 7. It denotes that Rose's collection is 7 less than half of Van's stamp collection, where x represents the total number of stamps in Van's collection.

Let's denote Van's stamp collection as x. According to the given information, Rose's stamp collection is 7 less than half of Van's stamp collection.

Expression for Rose's stamp collection (R):

R = (1/2)x - 7

Here's the breakdown of the expression:

(1/2)x represents half of Van's stamp collection.

-7 signifies 7 less than half of Van's stamp collection.

This expression encapsulates the relationship between Rose's stamp collection and half of Van's collection, diminished by 7.

The prime factorisation of 105 is therefore 3 * 5 * 7.

We can factorize 105 into its prime factors by dividing it by prime numbers up to the point when we can no longer divide it. Here is how it works:

Divide 105 by the following prime number, 3, for a result of 35.

35 divided by the following prime number, 5, yields a result of 7 that is:

35/5 = 7

The seventh prime number has been reached. The prime factorisation of 105 is therefore 3 * 5 * 7.

Thus, 3 * 5 * 7 is the prime factorization of 105.

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Ten less than five times a number cubed in the mathematical from will be 10 - 5x³.

The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.

Ten less than five times a number cubed.

Let the number be 'x'. Then the cube of the number x will be x³.

Then the five times a number cubed will be given as,

5x³

Ten less than five times a number cubed. Then the expression is given as,

⇒ 10 - 5x³

Ten less than five times a number cubed in the mathematical from will be 10 - 5x³.

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5 7/9  - 4 1/3

covert 1/3 to 9ths 3 x 3 = 9 so 1/3 = 3/9

5 7/9 - 4 3/9 = 1 4/9 meters

Answer: [tex]g(x)=5^{x-4}[/tex]

Step-by-step explanation:

When a function f(x) is shifted horizontally by n units to the right , the new function will become :-

[tex]g(x)=f(x-n)[/tex]

The given function : [tex]f(x)=5^x[/tex]

Now, if the given function shifted 4 units to the right , then the new function will become :

[tex]g(x)=f(x-4)[/tex]

[tex]g(x)=5^{x-4}[/tex]

Hence, the  function represents a horizontal shift of [tex]f(x)=5^x[/tex] by 4 units to the right will be :-

[tex]g(x)=5^{x-4}[/tex]