MATHEMATICS HIGH SCHOOL

Joe says that the product of 4-digit number and a 1-digit number is always a 4-digit number. Does Jose's statement make sense?

Answers

Answer 1

Answer:

We cannot say that the product of 4-digit number and a 1-digit number is always a 4-digit number.

Joe's statement does not make sense.

Given :

Joe says that the product of 4-digit number and a 1-digit number is always a 4-digit number.

Lets take an example and analyze Joe's statement

Let the 4 - digit number is 2131

and a one digit number is 5

Lets multiply it

$2131 \cdot 5=10665$

We can see the the result is a 5-digit number

We cannot say that the product of 4-digit number and a 1-digit number is always a 4-digit number.

Joe's statement does not make sense.

Learn more : brainly.com/question/11262281

Answer 2

Answer:

The correct answer is:

No.

Explanation:

The number of digits in the product depends completely on what digits are being multiplied. For instance, multiplying 2222 by 4 would result in a 4-digit number, 8888. However, if you multiply by 5, since 5(2) = 10, this will change the number of digits in the answer.

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The length of an Australian flag is twice its width and the diagonal length is 45cm. A. if x cm is the width of the flag, find the length in terms of x.
B. draw a diagram of the flag marking in the diagonal. mark the length and the width in terms of x.
C. use Pythagoras theorem to write an equation relating the lengths of the sides to the length of the diagonal.
D. solve the equation to find the dimensions of the Australian flag. round your answer to the nearest cm

Answers

A. 2x B. draw a rectangle with a line ad label accordingly C. W^2 + D^2 =L^2

D. 45= 15= w 30= l

The box plots below show the lifespan, in months, of laptop batteries manufactured by four companies:Based on the data, which company's batteries have the highest median lifespan?

Company A
Company B
Company C
Company D

Answers

I studied the image of the box plot that should have been part of this problem.

Company Median
A 23
B 24
C 22
D 22.5

Company B has batteries that have the highest median lifespan of 24 months.

Answer:

company B

Step-by-step explanation:

Which angle forms a linear pair with ∠ABD

Answers

Answer:

I believe its angle DBC

Step-by-step explanation:

A linear pair has to equal 180 degrees together

Answer:

fbc

Step-by-step explanation: that is the closest answer

Estimate the difference between 412.02 and 513.87 to the nearest whole number

Answers

The nearest whole number difference between 412.02 and 513.87 is 102.

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

What is the inverse of h?

Answers

Answer: $\bold{D)\quad h^(-1)(x)=(1)/(6)(x-1)}$

Step-by-step explanation:

Inverse is when you swap the x's and y's and then solve for y

y = 6x + 1

x = 6y + 1 swapped the x's and y's

x - 1 = 6y subtracted 1 from both sides

$(1)/(6)$ (x - 1) = y divided both sides by 6

Solve the following system using a matrix.

7a - b = -1
-4a - 2b = -2

Answers

Answer:

a = 0, b = 1

Step-by-step explanation:

Given system equation is,

7a - b = -1

-4a - 2b = -2

Since, the matrix form of this system of equation is,

$\begin{bmatrix} 7& -1\n -4 & -2\end{bmatrix}\begin{bmatrix}a\nb\end{bmatrix}=\begin{bmatrix}-1\n -2\end{bmatrix}$

Let,

$A=\begin{bmatrix} 7& -1\n -4 & -2\end{bmatrix}$

$X=\begin{bmatrix}a\n b\end{bmatrix}$

$B=\begin{bmatrix}-1\n -2\end{bmatrix}$

$\because AX = B\implies X = A^(-1)B$

$adj(A) = \begin{bmatrix} -2& 1\n4& 7\end{bmatrix}$

Also,

|A| = -18

$\implies A^(-1)=-(1)/(18)\begin{bmatrix} -2& 1\n4& 7\end{bmatrix}$

$\implies X = -(1)/(18)\begin{bmatrix} -2& 1\n4& 7\end{bmatrix}.\begin{bmatrix}-1\n -2\end{bmatrix}$

$X=-(1)/(18)\begin{bmatrix}2-2\n -4-14\end{bmatrix}$

$X=-(1)/(18)\begin{bmatrix}0\n -18\end{bmatrix}$

$X=\begin{bmatrix}0\n 1\end{bmatrix}$

$\implies \begin{bmatrix}a\n b\end{bmatrix}=\begin{bmatrix}0\n 1\end{bmatrix}$

By comparing,

a = 0, b = 1

1. a=-1+b/7 is the right answer. First you had to add by b from both sides of equation, and it gave us, $7a-b+b=-1+b$ . And then simplify, and it gave us, $7a=-1+b$ . Divide by 7 from both sides of equation, and it gave us, $(7a)/(7)=-(1)/(7)+ (b)/(7)$ . Finally simplify, and it gave us the answer is a=-1+b/7 is the right answer.

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2. a=-b-1/2 is the right answer. First you had to add by 2b from both sides of equation, and it gave us, $-4a-2b+2b=-2+2b$ . And then simplify, and it gave us, $-4a=-2+2b$ . Next you can also divide by -4 from both sides of equation, and it gave us, $(-4a)/(-4)=-(2)/(-4)+(2b)/(-4)$ . Finally simplify, and it gave us the answer is a=-b-1/2 is the right answer. Hope this helps! And thank you for posting your question at here on brainly, and have a great day. -Charlie

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