5. Let's factorize the following numbers and express in exponential form
16
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Let, age of Carmen, Antoine and Katy is C, A and K.

And it is given that :

[tex]A - C = 5\dfrac{1}{4}[/tex]                …1)

[tex]K-C = 11 \dfrac{1}{2}[/tex]              ...2)

We need to find the difference in Antoine's age and Katy's age.

Subtracting equation 2) from 1), we get :

[tex]( A - C ) - ( K-C) =5\dfrac{1}{4} - 11\dfrac{1}{2}\\\\A - K = -6\dfrac{1}{4}\\\\K-A = 6\dfrac{1}{4}[/tex]

Therefore, Katy is [tex]6\dfrac{1}{4}[/tex] years older than Antoine.

Answer:

n= 11.9

Step-by-step explanation:

2568283838383u2568283838383ui3ei33i

Answer:

[tex] \underline{ \boxed{n = 11.9}}[/tex]

Step-by-step explanation:

[tex]i f \to \: n + (-5.6) = 6.3 \\ n = 6.3 + ( + 5.6) \\ n = 11.9[/tex]

♨Rage♨

Answer:

2/12 is equivalent fraction for 2/3 divided by 4

Step-by-step explanation:

2

3

&

4

2

3

÷

4= ?

step 2 Multiply 2/3 with reciprocal of 4

=2

3

x1

4

=2

12

The Quotient is 1/3.

One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things.

Given:

2/3 divided by 4

As, division is not possible in fraction so we will perform the multiplication

= 2/3  ÷ 4

= 2/3 x 1/4

= 2/6

= 1/3

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50 !

hope this helps :)

Answer:

Distance= 308 miles

Step-by-step explanation:

Giving the following information:

The distance between Dallas and San Antonio is on a map is 13.7 inches.

2 inches = 40 miles

To calculate the distance between Dallas and San Antonio, we will use the following formula:

Distance= (12/2)*40 + 1.7*40

Distance= 308 miles

12/2= first 12 inches

Answer:

Yes

Step-by-step explanation:

Answer:

Area of each piece = 104 [tex]cm^{2}[/tex]

Possible dimensions are 26 cm by 4 cm, 13 cm by 8 cm.

Step-by-step explanation:

Given that:

Dimensions of the rectangular board as:

Length of the board is 10 cm longer than its width.

Width of the board = 26 cm

Length of the board = 26 + 10 = 36 cm

The rectangular board is divided into 9 equal pieces.

To find:

Area of each piece and

the possible dimensions of each piece = ?

Solution:

First of all, let us calculate the area of bigger rectangular board.

Area of a rectangle is given by the following formula:

[tex]Area = Length \times Width[/tex]

Area = 26 [tex]\times[/tex] 36 [tex]cm^2[/tex]

Area of each smaller rectangle = [tex]\frac{26\times 36}{9} = 104\ cm^2[/tex]

To find the possible dimensions, we need to find the factors of 104.

104 = 26 [tex]\times[/tex] 4

104 = 13 [tex]\times[/tex]  8

Therefore, the Possible dimensions are 26 cm by 4 cm

and

13 cm by 8 cm.

Answer:

-7

Step-by-step explanation:

The y intercept of a line is the y value of the line when the x value = 0

In this case we are given the coordinates (0, -7)

so when x =0   y= -7

Therefore, the y- intercept is -7

Answer:

-7

Step-by-step explanation:

The y intercept of a line is the y value of the line when the x value = 0

In this case we are given the coordinates (0, -7)

so when x =0   y= -7

Therefore, the y- intercept is -7

56.1% is the average number of people at the games increase from 2005 to 2012

percentage, a relative value indicating hundredth parts of any quantity.

Given,

The average number of people who attended football games at a stadium in 2005 is 8000.

The average number of people who attended football games at a stadium in 2012 is 12500.

The difference from average number of people from 2005 to 2012

12500-8000

Twelve thousand five hundred minus eight thousand

4500

To find the percentage of increase we need to divide change in number by original number

4500/8000

0.561

Now multiply with 100 because it is a hundredth part.

0.561×100=56.1

Hence 56.1% is the average number of people at the games increase from 2005 to 2012

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Step-by-step explanation:

Amount of green clay at the start = 57g + 31g = 88g.

Amouny of green clay used = 88g - 18g = 70g.

Hence 70g of green clay was used during the week.

Answer:

SA ≈ 1134 cm²

General Formulas and Concepts:

Math

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Step-by-step explanation:

Step 1: Define

d = 19 cm

Step 2: Find SA

Answer:

1. No solution

2. Infinite many solutions

3. One solution

4. No solution

5. No solution

6. One solution

7. No solution

8. One solution

9. Infinite many solutions

10. Infinite many solutions

Step-by-step explanation:

Answer:

0.030769

Step-by-step explanation:

Answer:

The integer representing the change is -43,200 gallons

Step-by-step explanation:

Here, we want to get the integer that represents the change in the number of gallons drained from the reservoir each week

Total number of hours per week would be 2 * 3 = 6 hours ;

6 hours is same as 6 * 60 = 3600 minutes

in a minute 12 gallons are drained

In 3600 minutes, the number of gallons drained would be;

3600 * 12 = 43,200 gallons are drained

Answer:

anybody agree that its c

Step-by-step explanation:

Answer:

[tex]x = \frac{ - 3b}{4} \: or \: b[/tex]

Step-by-step explanation:

[tex] \frac{1}{b + x} = \frac{3b}{2 {x}^{2} } - \frac{1}{x} [/tex]

[tex] = > \frac{1}{b + x} = \frac{3b - 2x}{2 {x}^{2} } [/tex]

[tex] = > 2 {x}^{2} = (b + x)(3b - 2x)[/tex]

[tex] = > 2 {x}^{2} = 3 {b}^{2} - 2bx + 3bx - 2 {x}^{2} [/tex]

[tex] = > 2 {b}^{2} = 3 {b}^{2} + bx - 2 {x}^{2} [/tex]

[tex] = > 3 {b}^{2} + bx - 4 {x}^{2} = 0[/tex]

[tex] = > 3 {b}^{2} + 4bx - 3bx - 4 {x}^{2} = 0[/tex]

[tex] = > b(3b + 4x) - x(3b + 4x) = 0[/tex]

[tex] = > (3b + 4x)(b - x) = 0[/tex]

Hence,

[tex]x = \frac{ - 3b}{4} \: or \: b[/tex]

Answer:

1/8^4

Step-by-step explanation:

when divinding exponents with the same base, subtract the power. you get 8^-4. since the problem specifies no negative exponents you need to simplify. this give you 1/8^4

Answer:

B

Step-by-step explanation:

Multiply the original price by 0.7

23.99 * 0.7 = 16.79

Answer:

2

Step-by-step explanation:

Answer:

The Medinas left $9.78 for a tip

Step-by-step explanation:

Percentages

The Medinas went out to eat at Chilli's and the bill was $65.20. They tipped 15% to their server.

This percentage is calculated over the amount of the $65.20 bill, thus the tip was:

15% of 65.20 = 15/100 * $65.20 = $9.78.

The Medinas left $9.78 for a tip

Step-by-step explanation:

Quesion 1

The cost of one chair can be found by dividing the cost of the total chairs by the number of chairs

hence, cost per chair= 150/50= $3 per chair

Question 2

let us find the number of walnuts per bag

= 330/6

=55 walnuts per bag

hence in two bags there will be 55*2= 110 walnuts

Question 3

Option D is an example of a unit rate.

The unit rate is defined as the cost of one unit of an item, or the value that represents a unit of a quantity... D 18 miles driven in a week

Answer:

Mindy bought 7 pounds of candy.

Step-by-step explanation:

In order to solve this question we need to understand that based on the question itself there is 4 people (Mindy and the three friends) that each have [tex]1\frac{3}{4}[/tex] pound of candy. Now if you image in that way you see that in order to understand how much pounds of candy Mindy bought you will have to multiply [tex]1\frac{3}{4}[/tex] by 4 (because there is 4 people who got [tex]1\frac{3}{4}[/tex]  pounds of candy each).

So now we can find the answer by doing the following.....

[tex](1\frac{3}{4} )(4) = ( \frac{7}{4})(\frac{4}{1}) = \frac{(7)(4)}{(4)(1)} = \frac{28}{4} = 7[/tex]

Answer:

if you mean that it look like this < or this > then its “less than or equal to“ or “greater than or equal to”

I hope this helped!!

OH and have a merry Christma!!!!!

Answer:

5x-19+[tex]\frac{69}{x+3}[/tex]

Step-by-step explanation:

Answer:

6⋅6⋅6⋅6

Explanation: The  exponent refers to the number of times a number is multiplied by itself.  6^4 represents that 6 is being multiplied 4 times.

[tex]6^{4}[/tex]

Base ⇒ 6

Exponent ⇒ 4

Answer:

hope this helps

Step-by-step explanation:

Answer: -120

Hope this helps!!

Answer:

-120

Step-by-step explanation: