All categories

3 years ago

Subtract. 5/23 - 4/23 (Type an integer or fraction.)

Mathematics

1 answer:

ad-work [718]3 years ago

7 0

Answer:

1/23

Step-by-step explanation:

5/23 - 4/23 would be 1/23. When the denominators of the fractions are the same, you can just subtract the numerators.

You might be interested in

Which equation represents the relationship between the x-and y-values shown in the table.

Dmitrij [34]

C. y = 3x - 4

Step-by-step explanation:

Given coordinates:

(2, 2), (3, 5), (5, 11), (7, 17)

The equation of any straight line is

y = mx + c

Where

m = Gradient

c = Constant

Gradient = y2 - y1/x2 - x1

Substitute any two values of y with the respective values of x.

Gradient = 17 - 2/7 - 2

= 15/5

= 3

Substitute the gradient into the general formula.

y = 3x + c

Substitute any value of the coordinate to the equation

2 = 3(2) + c

2 = 6 + c

c = -4

From y = mx + c,

substitute the values of m, the gradient, and c, the constant.

y = (3)x + (-4)

y = 3x - 4

5 0

2 years ago

What is the volume of a rectangle prism withe the base area of 24 and the height of 4

grandymaker [24]

Answer:

The answer to your question is Volume = 32 u³

Step-by-step explanation:

Data

The volume of a rectangular prism = ?

Area of the base = 24

height = 4

Process

1.- Write the formula to calculate the volume of a pyramid

Volume = 1/3 Area of the base x height

2.- Substitution

Volume = 1/3 (24)(4)

3.- Simplification

Volume = 96/3

4.- Result

Volume = 32 u³

5 0

3 years ago

1.6 m<br>2 m<br>4 m <br>area of a shape

Natasha_Volkova [10]

Answer:

the area is 8 square m

Step-by-step explanation:

4 x 2 = 8

3 0

2 years ago

You are remodeling your bedroom. You will paint all 4 walls and the door. There are no windows in the room. The floor is 9' by 1

Aleksandr [31]

Answer:

Part 1) The area of the 4 walls is $368\ ft^2$

Part 2) You will have to buy 2 gallons

Part 3) You will have to buy 3 gallons

Part 4) $\$75$

Part 5) The area of the floor is $126\ ft^2$

Part 6) $\$850.5$

Part 7) $\$1,008$

Part 8) $\$472.5$

Step-by-step explanation:

Part 1) What is the area of all 4 walls together?

we know that

The area of all 4 walls together is equal to the perimeter of the floor multiplied by the height of the wall (8 ft)

The perimeter of the floor is

$P=2(9+14)=46\ ft$

The area of the walls is

$46(8)=368\ ft^2$

Part 2) If a gallon of paint covers 350 sq. ft., How many gallons will you have to buy?

using proportion

$\frac{1}{350}\ \frac{gal}{ft^2}=\frac{x}{368}\ \frac{gal}{ft^2}\\\\x=368/350\\\\x=1.05\ gal$

Remember that you can't buy a fraction of gallon

You will have to buy 2 gallons

Part 3) How many gallons will it take to put on 2 coats of paint?

Now the area will be

$368(2)=736\ ft^2$

using proportion

$\frac{1}{350}\ \frac{gal}{ft^2}=\frac{x}{736}\ \frac{gal}{ft^2}\\\\x=736/350\\\\x=2.10\ gal$

Remember that you can't buy a fraction of gallon

You will have to buy 3 gallons

Part 4) If the paint costs $25 per gallon, and you are applying 2 coats of paint, how much will you spend on paint?

To find the cost multiply the number of gallons by $25 per gallon

$3(25)=\$75$

Part 5) What is the area of the floor?

The area of the floor (rectangle ) is equal to multiply the length of the floor by the width of the floor

$A=(9)(14)=126\ ft^2$

Part 6) What is the cost to redo the floor in oak?

To find the cost multiply the area of the floor by $6.75 per square foot

$126(6.75)=\$850.5$

Part 7) What is the cost to redo the floor in maple?

To find the cost multiply the area of the floor by $8.00 per square foot

$126(8.00)=\$1,008$

Part 8) What is the cost to redo the floor in carpet?

To find the cost multiply the area of the floor by $3.75 per square foot

$126(3.75)=\$472.5$

5 0

2 years ago

A classmate is 22 years younger than your instructor. Write an equation that will determine your classmate’s age (y) if given yo

Dima020 [189]

Hey there, we are given quite a lot of information in this problem. First of all, let's make an equation.

y = x - 22

where y = student's age

where x = instructor's age

this equation is correct because x(instructor) - 22 will yield the student's age (y).

If the instructor were 44 years old, the student would be 22 years old.

y = 44 - 22

y = 22

If the instructor were 66 years old, the student would be 44 years old.

y = 66 - 22

y = 44

3 0

3 years ago