What is the counter example for the conditional below? if a number is divisible by 6, then it is divisible by 18.
Answer:
24 is divisible 6 but not 18.
Step-by-step explanation:
The statement in the question is not true. So a counterexample is an example of the statement being false. Consider 24. 24 is divisible by 6, but 24 is not divisible by 18.
The counter example for the expression where a number is divisible by 6 then alternatively it will be divisible by 18 is when the number is 24 or 30
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the number be n
The number n is divisible by 6
And , the number will be divisible by 18 when it is divisible by 6
Substitute the value of n = { 24 , 30 }
The number n = 24 is divisible by 6 but not divisible by 18
And , The number n = 30 is divisible by 6 but not divisible by 18
Hence , the expression is not valid
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What is the answer to -6n^2 - 5n - 7 = -8
Answer:
n = [tex]\frac{1}{3}[/tex] , n = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
6n² - 5n - 7 = - 8 ( add 8 to both sides )
6n² - 5n + 1 = 0 ← in standard form
Consider the product of the factors of the coefficient of the n² term and the constant term which sum to give the coefficient of the n- term
product = 6 × 1 = 6 and sum = - 5
The factors are - 3 and - 2
Use these factors to split the n- term
6n² - 3n - 2n + 1 = 0 ( factor the first/second and third/fourth terms )
3n(2n - 1) - 1(2n - 1) = 0 ← factor out (2n - 1) from each term
(2n - 1)(3n - 1) = 0 ← in factored form
Equate each factor to zero and solve for n
3n - 1 = 0 ⇒ 3n = 1 ⇒ n = [tex]\frac{1}{3}[/tex]
2n - 1 = 0 ⇒ 2n = 1 ⇒ n = [tex]\frac{1}{2}[/tex]
Consider the problem: A set of books that are each 1.5 inches wide are being organized on a bookshelf that is 36 inches wide. How many books can fit on the shelf?
a. Complete the multiplication equation and the division equation to represent the situation. Use a ? to represent the unknown in the equation. Write your answer as a decimal to the nearest tenth if necessary.
multiplication equation: ? • (
) =
division equation:
÷
= ?
b. How many books can fit on the shelf? Use a diagram, if needed.
books
According to the calculation, 24 books can fit on the shelf.
Given that a set of books that are each 1.5 inches wide are being organized on a bookshelf that is 36 inches wide, to determine how many books can fit on the shelf the following division must be performed:
36 / 1.5 = X 24 = XTherefore, 24 books can fit on the shelf.
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3 equivalent ratio to 9/2
Answer:
10/12 i took the test
Step-by-step explanation:
Answer:
18/4 , 27/6 , 36/8
Step-by-step explanation:
9 to 2 x 2 = 18 to 4
9 to 2 x 3 = 27 to 6
9 to 2 x 4 = 36 to 8
Q). A man ₹ x. He gave half of it to his wife, 1/4th to his son and ₹1200 of his daughter. Form an equation and also find x.
Given that
Money of a man = Rs. X
Money given to his wife = half of the money
= Rs. X/2
Money given to his son = 1/4th of the money
⇛Rs. X/4
Money given to his daughter = Rs. 1200
Total money
⇛ (X/2)+(X/4)+1200 = X
⇛ (2X+X+4800/4 = X
⇛ (3X+4800)/4 = X
⇛ (3X+4800) = 4X
⇛4X=3X+4800
⇛4X-3X = 4800
⇛X = 4800
⇛X-4800 = 0 is the required equation
⇛X = 4800
The money of the man = Rs. 4800 Ans.
also read similar questions: what if a man has 19 cows and he wants to give Half of them to his brother 1/4th to Son and 1/5th to daughter?
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The square root of a certain number is 9.5671 . The certain number is between which 2 integers?
Answer:
91 & 92
Step-by-step explanation:
Answer:
9.5671*9.5671=91.52940241
between 91 and 92
Hope This Helps!!!
Determine whether it is possible to form a triangle
with side lengths 4.2, 4.2, and 8.4.
O yes
no
Answer:it is possible to have a triangle with the given side lengths. 7,9,13. Add any two sides and see if it is greater than the other side.
Step-by-step explanation:
Solve for x. x^2+6x+9=0
Answer:
x=-3
Step-by-step explanation:
x^2+6x+9=0
Factor
(x+3)(x+3) =0
Using the zero product property
x+3 =0 x+3=0
x=-3 x=-3
Solution
x=-3
You guys can write a story or a situation that can be represented by the given equation.
4a + 5 = 12a - 11
Thank you :)
Answer: Situation:
Step-by-step explanation:
You are walking in a grocery store and you see a nice deal saying that if you buy 4 batches of 2 bananas, you will get 5 extra bananas free of charge. However you see in another store that for the same price, you can buy 12 batches of 2 bananas but 11 of them are always bad and are needed to be thrown out. You calculate which deal is better and you decide on the first one because you hate stinking bananas. Hope this helps!
:)
How do I find the scale factor‼️‼️
Answer:
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.
Could someone please help me
4. A donut shop bakes 4 dozen donuts every 18 minutes. How long did it take for the bakery to complete its
order of 144 donuts?
Answer:
54 minutes
Step-by-step explanation:
4 Dozen is 48
So we will need to know how many 18 minutes it takes to back 144 donuts
So divide 144 by 48
Which is 3
So you will need 3, 18 minutes to make 144 donuts
Now multiply 18 by 3 which is 54
So it takes 54 minutes to bake 144 donuts
Hope this helps!
Step-by-step explanation:
4 Dozen = 4 x 12 = 48 every 18 minutes
144/48 = 3
3 x 18 = 54 minutes
anybody help please hm
Answer:
1
Step-by-step explanation:
if you use a calculator, it will come up as 1. I don't know why, but it does.
Hope this helps!
Lucas and his brother, Max, went to the arcade yesterday. Lucas played 2 games of Rodeo Racing and 8 games of Polar Pinball. Max played 3 games of Rodeo Racing and 9 games of Polar Pinball. Which brother played the greater ratio of Rodeo Racing to Polar Pinball?
Answer:
Max
Step-by-step explanation:
Lucas played 2 Rodeo Racing:8 Polar pinball = 1:4 (Divide by 2)
Max played 3 Rodeo Racing:9 Polar pinball = 1:3 (Divide by 3)
1:3 is greater than 1:4 so this proves that Max has played the greater ration of Rodeo Racing to Polar Pinball.
Answer:
Max played the greater ratio.
Step-by-step explanation:
:)
I NEED HELP ASAP
Write the equation of the line in fully simplified slope-intercept form.
Answer: [tex]y = \frac{4}{5}x + 4[/tex], if this helped you please give Brainliest
Step-by-step explanation:
Simplify this question
[tex] \frac{8 - \sqrt{ - 36} }{2} \\ = \frac{8 - \sqrt{ 2 \times \: 2 \times 3 \times - 3} }{2} \\ = \frac{8 -2 \sqrt{ - 9} }{2} \\ = \frac{2(4 - \sqrt{ - 9} )}{2} \\ = 4 - \sqrt{ - 9} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Answer:
Unfortunately, the problem could not be solved because there is a minus in √36. This basically means that this problem has no answer. Remember, if there is a minus in a root system, that basically means that the answer is Un-defined.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
Decide whether each set of side lengths could form a valid triangle: (6,8,9), (3,8,5), (4,9,14).
Need someone to help me with this
equation of the line that passes through (7,-1) and (-3,-1)
Answer:
y = - 1
Step-by-step explanation:
Note the y- coordinates of both points are equal, both - 1
This indicates the line is horizontal and parallel to the x- axis with equation
y = c
where c is the value of the y- coordinates the line passes through
The line passes through (7, - 1 ) and (- 3, - 1 ) with y- coordinates - 1 , then
y = - 1 ← equation of line
This is the question in the photo above.
Answer:
an alternative hypothesis is an angle that is alternate to each other
PLEASE HELP QUESTION IN PICTURE
Answer:
b = 55
d = 55
Step-by-step explanation:
Part B:
1. We can see that m∠C (25 degrees), the angle with 100 degrees, and ∠B are adjacent angles that add up to 180 degrees.
This means that b + 25 + 100 = 1802. (Solving equation above)
Step 1: Simplify both sides of the equation.
[tex]b + (25+100)=180[/tex] [tex]b + 125 = 180[/tex]Step 2: Subtract 125 from both sides.
[tex]b + 125 - 125 = 180 - 125[/tex] [tex]b = 55[/tex]Therefore, b = 55.
Part D:
1. The exterior angle theorem states that the exterior angle of a triangle is congruent to the sum of the two opposing interior angles.
This means that 110 = d + 552. (Solving)
Step 1: Subtract 55 from both sides.
[tex]110-55 = d + 55-55[/tex] [tex]55 = d[/tex]Therefore, d = 55.
of the 400 employees,5% of them managers.How many managers does the zoo employ?
Answer:
20 of them are managers
Step-by-step explanation:
Basically All you gotta do is convert that 5 percent to a decimal, so 5% = 0.05
400 x 0.05 (multiplying it will just increase your answer) and you will get 20
To check it
20/5% or 0.05 = 400
convert NPR 180000 into
1. USD
Answer:
Solution here,
1 US dollar=NRS 120.74
Therefore Rs 180000= 180000/120.74
=$1490.99
Which numbers between 10 and 99 have digits that differ by 4 and add to 6
Answer:
A
Step-by-step explanation:
Correct option is A)
Let a 3-digit number ABC
Case (1)
If A=7, then B and C can be any digit but not 7
so, total 9 digits (0,1,2,3,4,5,6,8,9) can replace B and C
Then total such combinations =1(9)(9)=81
Case (2)
If B=7 then A can be any digit but not 0 and 7, because if A=0 it will be a 2-digit number.
And C can be any digit but not 7
Then total combinations =(8)(1)(9)=72
Case (3)
If C=7 then A can be any digit but not 0 and 7, because if A=0 it will be a 2-digit number.
And B can be any digit but not 7
Then total combinations =(8)(9)(1)=72
So, total numbers between 99 and 1000 which have exactly one of their digits as 7 are =81+72+72=225
3y-2x-4x+5x+7
please help meeeeeeeeeeee
Answer:
3y-2x-4x+5x+7
please help meeeeeeeeeeee
[tex]3y-2x-4x+5x+7\\\\=3y-x+7[/tex]
Answer based on the information.
1)find the length of DC
2)find the magnitude of ABE
3)find the magnitude of ADC
4)find the magnitude of BCD
Answer:
01)05
02)45°
03)120°
04)60°
Step-by-step explanation:
Have a great day!
Philip has $5,774 in a savings account. The interest rate is 13%, compounded annually.
To the nearest cent, how much interest will he earn in 5 years?
(compound interest formula)
[tex] \sf \: I = P(1 + \frac{r}{n} {)}^{nt} - P \\ \sf = 5774(1 + \frac{13}{100} ) ^{1 \times 5} - 5774 \\ \sf= 5774 \times ( \frac{113}{100} ) ^{5} - 5774 \\ \sf= 10638.22 - 5774 \\ \sf = 4864.22[/tex]
Answer:
$4864.22 (approximate value)
Hope you could get an idea from here.
Doubt clarification - use comment section.
Find the percent change from the first value to the second. Tell if it a decrease or
increase.
36: 63______;_______
Help me solve for x. :>
Answer:
x = 9
Step-by-step explanation:
3 ㏒₄x = 2 ㏒₄27
㏒₄ x³ = ㏒₄ 27²
As ㏒₄ = ㏒₄
You can write this as,
x³ = 27²
x ³ = 27 × 27
x³ = 3³ × 3³
x ³ = 3⁶
x ³ = 729
x ³ = 9³
There fore,
x = 9
Hope this helps you :-)
When is f(x) when x=-5
Answer:
f is equivalent to 15 and when you replace x with -5 you will have to multiply 15×(-5) and you will get -75 as an overall answer.