Which expression represents 100 divided by an unknown number?A.
100 • p

B.
100 ÷ p

C.
100 – p

D.
100 + p

Answers

Answer 1

Answer: The expression that represents that 100 is divided by an unknown number is letter B. Being, 100 ÷ p. The letter p is being represented by the unknown number. Sometimes, the unknown number could use different variables, such as x,y, z and etc.

Answer 2

Answer:

Answer:

it is b

Step-by-step explanation:

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Which represents the solution(s) of the system of equations, y = x2 – 4x – 21 and y = –5x – 22? Determine the solution set algebraically.(–1, –17)
(1, –27)
(–1, –17) and (1, –27)
no solutions

Answers

Answer:

D. No solutions.

Step-by-step explanation:

We have been given a system of equations and we are asked to find the solution set for our given system.

$y=x^2-4x-21$

$y=-5x-22$

To find the solution for our given system we will equate our both equations as:

$x^2-4x-21=-5x-22$

$x^2-4x+5x-21=-5x+5x-22$

$x^2+x-21=-22$

$x^2+x-21+22=-22+22$

$x^2+x+1=0$

We will use discriminant formula to check for the solution of our given system.

$√(b^2-4ac) \geq 0$ for real solutions.

Upon substituting our given values in above formula we will get,

$√(1^2-4*1*1) \geq 0$

$√(1-4) \geq 0$

$√(-3) \ngeq 0$

Therefore, our given system has no solutions and option D is the correct choices.

Answer:

Step-by-step explanation:

on edge 2021

There are 56 students going on a field trip to the science center in groups of 8 how many groups of students are here

Answers

There are seven groups

There are 7 students in each group

If the triangles in the diagram are congruent, what is the value of x?

Answers

If shapes are congruent, then they are mathematically equal (same dimensions, angles etc.). So just locate where the angle x is on both triangles, it should have a value on or a calculable value on the other. If you provide us with the actual sheet I could walk you through it.

Answer:

Its True

Step-by-step explanation:

Hope this helped have a nice day

(14d2 - 8) + (6d2 - 2d +1)

Answers

Step-by-step explanation:

What is :

(49^x)(7^x^2)=2401^2

Answers

$(49^x)(7 ^(x^2))=2401^2 \n \n( (7^2)^x)(7 ^(x^2))= (7^4) ^2 \n \n 7 ^(2x)\cdot 7^(x^2)=7^(8) \n \n 7 ^(2x+x^2) =7^(8) \n \n2x+x^2 =8$

$x^2-2x-8 = 0\n \n a=1, \ b=-2, \ c=-8 \n \n\Delta =b^2-4ac = (-2)^2 -4\cdot1\cdot (-8) = 4 +32 =36 \n \nx_(1)=(-b-√(\Delta) )/(2a)=(2-√(36))/(2 )=( 2-6)/(2)=(-4)/(2)=-2 \n \nx_(2)=(-b+√(\Delta) )/(2a)=(2+√(36))/(2 )=( 2+6)/(2)=(8)/(2)= 4 \n \nAnswer: \ x=-2 \ \ or \ \ x=4$

$(49^x)(7^(x^2))=2401^2\n \n7^(2x) \cdot7^(x^2)=(7^4)^2\n \n7^(2x+x^2)=7^8\ \ \ \Leftrightarrow\ \ \ 2x+x^2=8\ \ \ \Leftrightarrow\ \ \ x^2+2x-8=0\n \nx^2-2x+4x-8=0\ \ \ \Leftrightarrow\ \ \ x(x-2)+4(x-2)=0\n \n(x-2)(x+4)=0\ \ \ \Leftrightarrow\ \ \ ( x-2=0\ \ \ \vee\ \ \ x+4=0)\n.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=-4$

29.8 is 10 times as much as what

Answers

The required proportion value is 2.98 which is equal to one-tenth of 29.8.

Given that,
To determine 29.8 is 10 times as much as a number.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmeticoperators, addition, subtraction, multiplication and division,

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let the number be x,

According to the question.
29.8 = x10
x = 29.8 / 10x
x = 2.98

Thus, the required proportion value is 2.98 which is equal to one-tenth of 29.8.

Learn more about arithmetic here:

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Answer:

298

Step-by-step explanation:

29.8 is 10 times as much as 298

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