Answer:
There are about 7 x 10^6
Step-by-step explanation:
3.5*2029249= 7102347
rounds to 7000000= 7 x 10^6
After modelling the mathematical statement and solving its equivalent mathematical relation, we get x = -36.
<h3>What is Equation Modelling?</h3>
Equation modelling is the process of writing a given mathematical statement in the form of a numeric mathematical expression taking into considerations the operations, constants and other variables.
Given in the question is a number such that twice the difference of a number and 9 is equal to three times the sum of the number and 6.
Assume that the number is x. Now, we will model the equation and solve for x. According to the question, the following mathematical relation represents the statement-
2(x - 9) = 3(x + 6)
2x - 18 = 3x + 18
x = - 36
Therefore, the number is -36.
To solve more questions on Equation modelling, visit the link below-
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Question 5(A)
Answer:51
Explanation
Step 1:evaluate the power
Step2:add the numbers
Step 3:calculate the square root
Step4:reduce the fraction with 4
Step5:calculate the sum or the difference and ur final answer is 51
Question 5(B)
Answer:9/2
Explanation:
Step 1:calculate the difference
Step 2:evaluate the power
Step 3:subtract the numbers
Step 4:calculate the sum
And ur final answer is 9/2
Question 6:(A)
Answer:x=36/11
Explanation:
Step 1:distribute 4 through the parentheses
Step 2:move variable to the left hand side and change its sign
Step 3:move constant to the right hand side and Change it’s sign
Step 4:collect like items
Step 5:add the numbers
Step 6:divide both sides of the equation by 11
And ur final answer is x=36/11
Question 6(B)
Answer:x=192
Explanation:
Step 1:multiply both sides of the equation by 3
Step 2:move the constant to the right hand side and change its sign
Step 3:add the numbers
And ur final answer is x=192
Question 7
Answer B($60)
Explanation:the shape is rectangular and it is 12 feet long and the other is 5 feet wide it’s like finding the area of it so u basically need to multiply 12 by 5 and ur answer is 60
Here is the answers and the explanations step by step I hope it helps
Have a great day and stay safe
C= chair cost
t= table cost
Create two equations with the given information. Solve for one variable in equation one. Substitute that answer in equation two. Then you can solve for the needed information.
3c+2t=$18
5c+6t=$48
3c+2t=18
Subtract 2c from both sides
3c=18-2t
Divide both sides by 3
c=(18-2t)/3
Substitute the value for c in equation two:
5c+6t=$48
5((18-2t)/3)+6t=48
(90-10t)/3+6t=48
Multiply everything by 3 to eliminate fraction
(3)((90-10t)/3)+(3)(6t)=(3)(48)
90-10t+18t=144
90+8t=144
Subtract 90 from both sides
8t=54
Divide both sides by 8
t=$6.75 cost for table
Substitute the t value to solve for c:
3c+2t=18
3c+2(6.75)=18
3c+13.50=18
3c=4.50
c=$1.50 chair cost
Check:
5c+6t=$48
5(1.50)+6(6.75)=48
7.50+40.50=48
48=48
Hope this helps! :) If it does, please mark as brainliest.
Answer:
Step-by-step explanation:
5x + 9y = -11
3x + 9y = -3
5x + 9y = -11
-3x - 9y = 3
2x = -8
x = -4
-12 + 9y = -3
9y = 9
y = 1
(-4, 1)
Answer is C