No links and respond with an explanation please.

Find the value of the variable and yz if y is between x and z Xy=6b yz=8b Xz=175

Anika [276]

The value of b is 12.5 and the value of YZ is 100

<h3>How to determine the variable and yz?</h3>

The given parameters are:

XY = 6b

YZ = 8b

XZ = 175

This means that

XZ = XY + YZ

So, we have:

6b + 8b = 175

Evaluate the sum

14b = 175

Divide by 14

b = 12.5

Substitute b = 12.5 in YZ = 8b

YZ = 8 * 12.5

Evaluate

YZ = 100

Hence, the value of b is 12.5 and the value of YZ is 100

Read more about lengths at:

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7 0

2 years ago

If the size of the matrix B is 4 × 5, the size of the matrix D is 4 × 2 and the order of the matrix E is 5 × 4, then the order o

kvasek [131]

Answer:

The order of the matrix D^T × (BE) is 2 × 4

Step-by-step explanation:

In the multiplication of matrix, the number of columns in the first matrix must be equal to the number of rows of the second matrix. The resulting matrix from the product will have the same number of rows as the first matrix and the same number of column as the second matrix. For example, given Matrix A of order (m × n) and Matrix Z of order ( n × k), the product of the two matrices will give a matrix ( say Y) of order (m × k).

AZ = Y

(m x n)(n x k) = (m x k)

Now, From the question,

The order of Matrix B is 4 × 5,

the order of the matrix D is 4 × 2

and the order of the matrix E is 5 × 4.

To determine the order of the matrix D^T × (BE)

First, will find the order of (BE)

Order of BE = (4 × 5) (5 × 4)

Order of BE = (4 × 4)

Hence, the order of matrix (BE) is 4 × 4.

Now, we will determine the order of matrix D^T

D^T means the transpose of matrix D.

The transpose of a matrix is defined as a new matrix whose rows are the columns of the original matrix and the columns of the new matrix are the rows of the original matrix. This means given Matrix A of order (m × n), the transpose of Matrix A (A^T) will have an order of (n × m).

The order of the matrix D is 4 × 2

Hence, the order of the transpose of matrix D (D^T) will be 2 × 4

Now, the order of the matrix D^T × (BE) will be

Order of the matrix D^T × (BE) = (2 × 4) × (4 × 4)

Order of the matrix D^T × (BE) = 2 × 4

Hence, the order of the matrix D^T × (BE) is 2 × 4.

7 0

3 years ago

Marco bought gifts for his family qt the school gift shop for the holidays. Marci bought 10 gifts and spent 11.50. How many of e

fomenos

Answer:

3 Bracelets and 7 stickers

Step-by-step explanation:

(1.50*3)+(1*7)=11.50

3+7=10

3 0

3 years ago

Find the area of the parking space if the height is 18 feet and the base is 9 1/4 feet

Molodets [167]

Area= base x height
So, the base is 9 1/4 and the height is 18 feet
so, the Area= 9 1/4 x 18

9 1/4 x 18
= 166.5

4 0

4 years ago

Read 2 more answers

Diego made a castle with small building blocks. He used an even number of blocks. The number of blocks is between 700 and 800. T

vovikov84 [41]

Answer:

The two numbers are 476 and 284

Step-by-step explanation:

Given:

He used an even number of blocks

The number of blocks is between 700 and 800

The number of blocks is the sum of two

To Find :

Two number = ?

Solution:

The sum of an odd number and an even number id always odd. So 423 can be eliminated

So two numbers must be any of the 4 remaining options

Its also given that the number lies between 700 and 800. So the sum should be greater than 700 and lesser than 800

by trial and error method

352+476 = 828 ( greater than 700 but greater than 800, condition fails)

352+326 = 678 ( lesser than 700 but lesser than 800, condition fails)

352+284 = 636 ( lesser than 700 but lesser than 800, condition fails)

476+326 = 802 ( greater than 700 but greater than 800, condition fails)

476+284 = 760 ( greater than 700 and lesser than 800)

5 0

3 years ago