A square floor tile has a diagonal 20 inches long.

Solve the formula x/4 + x/3 = 1

miskamm [114]

Answer:

x = 12/7

Step-by-step explanation:

in order to solve this formula x/4 + x/3 = 1

solution

x/4 + x/3 = 1

the first step to do is to take lcm of the left hand side

[3(x) + 4(x)] /12 = 1

[4x +3x]/ 12 = 1

7x/12 = 1

cross multiply

7x/12 = 1

7x = 12 × 1

7x = 12

divide both sides by 7

7x/7 = 12/7

x = 12/7

4 0

3 years ago

Read 2 more answers

Miranda enlarged a picture twice as shown below, each time using a scale factor of 3. Which statements apply to the enlargements

stepladder [879]

Answer:

-The area of the second enlargement is 1,944 square inches

-The area of the second enlargement is (3 squared) squared times the original area.

-The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor

Step-by-step explanation:

The complete question is

Miranda enlarged a picture twice as shown below, each time using a scale factor of 3.

A rectangle with length 6 inches and width 4 inches is enlarged twice.

Which statements apply to the enlargements? Select three options.

-The area of the first enlargement is 72 square inches.

-The area of the second enlargement is 1,944 square inches.

-The area of the second enlargement is (3 squared) squared times the original area.

-The area of the second enlargement is 3 times the area of the first enlargement.

-The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor.

Verify each statement

1) The area of the first enlargement is 72 square inches.

The statement is false

Because

we know that

The original dimensions of the rectangle are

length 6 inches and width 4 inches

so

First enlargement

Multiply the original dimensions by a scale factor of 3

$Length: 6(3)=18\ inches\\Width: 4(3)=12\ inches$

The area of the first enlargement is

$18(12)=216\ in^2$

2) The area of the second enlargement is 1,944 square inches

The statement is true

Multiply the dimensions of the first enlargement by a scale factor of 3

$Length: 18(3)=54\ inches\\Width: 12(3)=36\ inches$

The area of the second enlargement is

$54(36)=1,944\ in^2$

3) The area of the second enlargement is (3 squared) squared times the original area.

The statement is true

Because

The original area is $24\ in^2$

The area of the second enlargement is $1,944\ in^2$

so

$[(3^2)]^2(24)=1,944\ in^2$

4) The area of the second enlargement is 3 times the area of the first enlargement

The statement is false

Because

$3(216)=648\ in^2$

so

$648\ in^2 \neq 1,944\ in^2$

5) The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor

The statement is true

Because

The square of the scale factor is 3^2=9

and the ratio is equal to

$\frac{216}{24}=9$

8 0

3 years ago

What is the solution set to the equation (2x – 6)(3x – 4) = 0?

yan [13]

Well if you are asking for the 2 values of x, then you would get this by setting each parenthesis to 0 this will result in 2x-6=0 now add the 6 to both sides and get 2x=6 now divide by 2 to get 3 your first x is 3 now lets do the next one, 3x-4=0 add the 4 to both sides and get 3x=4 now divide to get x=4/3 sp your 2 sets would be x=3 and x=4/3

Hope this helped

6 0

3 years ago

Read 2 more answers

Using the inverse trig functions, find the measure of angle Z to the nearest degree.

Ksenya-84 [330]

Answer:

4

Step-by-step explanation:

because y is 90 and x is 20 so z is 71

6 0

3 years ago

The product of X and 7 equals 28

ki77a [65]

When you are looking for this, the best way to do this is to divide 28 by 7. This will give you 4.
The other way to do this is to list the factors of 28, which are 1,2,4,7,14,28, and you will then be able to see which two are paired.
In this case, x is 4.
Hope I have been able to help you

4 0

3 years ago