What is two-thirds minus seven-twelfths

Parallelogram PQRS with PS = -1 + 4x and QR = 3x + 3. What is the length of QR?

Nastasia [14]

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

PQRS

PS = -1 + 4x

QR = 3x + 3

QR = ?

Step 02:

PS = QR

-1 + 4x = 3x + 3

4x - 3x = 3 + 1

x = 4

QR = 3(4) + 3

= 12 + 3

= 15

The answer is:

QR = 15

6 0

1 year ago

In a family, each brother has as many sisters as broth, but

irina [24]

Answer: 4 brothers and 3 sisters for a total of 7 siblings

Step-by-step explanation:

Let No. of boys = x

Let No. of girls = y

Each boy has as many brothers as sisters

Hence, (x - 1) = y

Rearranging we get,

x - y = 1 ……….(1)

Now, each girl has twice as many brothers as that of sisters

Hence, 2 * (y - 1) = x

Solving the bracket we get, 2y - 2 = x

Rearranging we get,

-x + 2y = 2 ……….(2)

Adding (1) and (2) using the elimination method, we get

x - y = 1

-x + 2y = 2

y = 3

Substituting value of Y in equation (1),

x - 3 = 1

Solving this we get,

x = 4

Thus, No. of Boys = 4, No. of Girls = 3 and No. of Siblings in the family = 7

8 0

2 years ago

Simplify 1/2(8y-10z)-(3y+z)

sashaice [31]

1/2(8y-10z)-(3y+z)
= 4y - 5z - 3y - z
= y - 6z

hope it helps

7 0

3 years ago

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A.Find the total and area of the compound figures

goldfiish [28.3K]

Answer:

(a) The total area of compound figure is $284.52ft^2$ .

(b) The total perimeter of compound figure is 68.84 ft.

Step-by-step explanation:

Perimeter: The total distance covered by the figure.

Area: It is defined as the space occupied by the figure.

Given:

Length of rectangular figure = 19 ft

Breadth of rectangular figure = 12 ft

Radius of circle, r = $\frac{12ft}{2} = 6 ft$

Part (a):

Now calculating the total area of the compound figure.

$\text{Total area}=\text{Area of rectangular figure}+\frac{1}{2}\times \text{Area of circle}\\\\\text{Total area}=\text{Length}\times \text{Breadth}+\frac{1}{2}\times \pi r^2$

Now putting all the given values in this formula, we get:

$\text{Total area}=(19ft\times 12ft)+\frac{1}{2}\times 3.14\times (6ft)^2\\\\\text{Total area}=284.52ft^2$

Part (b):

Now calculating the total perimeter of the compound figure.

$\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times \text{Circumference})\\\\\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times 2\times \pi \times r)$

Now putting all the given values in this formula, we get:

$\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times 2\times \pi \times r)\\\\\text{Total perimeter}=2\times 19ft+12ft+(\frac{1}{2}\times 2\times 3.14 \times 6ft)\\\\\text{Total perimeter}=68.84ft$

8 0

3 years ago

Tessa had $90 in her checking account. She paid her cable/internet bill for $60. She deposited $50 from her part-time job before

Lady bird [3.3K]

90-60+50-65=15

$15 in her account

4 0

3 years ago

Read 2 more answers