Answer:
The numbers are 36 and 42
Step-by-step explanation:
Represent the two numbers by m and n, m being the larger number and n the smaller. Then
m = n + 6. also, 7n = 6m
Substitute n + 6 for m in the second equation: 7n = 6(n + 6).
Performing the indicated multiplication, we get 7n = 6n + 36, or n = 36.
Then m = n + 6, which here is m = 36 + 6 = 42.
The numbers are 36 and 42.
prove that √p is an irrational number , if p is not a perfect square.
[tex] \huge \frak \green{question}[/tex]
prove that √p is an irrational number , if p is not a perfect square.
[tex] \huge \frak \red{answer}[/tex]
Let us assume, to the contrary, that √p is rational. So, we can find coprime integers a and b(b ≠ 0) such that :-
=> √p = a/b
=> √p b = a
=> pb² = a² ….(i) [Squaring both the sides]
=> a² is divisible by p
=> a is divisible by p So, we can write a = pc for some integer c.
Therefore,
a² = p²c² ….[Squaring both the sides]
=> pb² = p²c² ….[From (i)]
=> b² = pc²
=> b² is divisible by p
=> b is divisible by p
=> p divides both a and b.
=> a and b have at least p as a common factor.
But this contradicts the fact that a and b are coprime. This contradiction arises because we have assumed that √p is rational. Therefore, √p is irrational.
_____________________________________
[tex] \bold \green{i \: hope \: it \: is \: helpful}[/tex]
________________________________
Oliver drove 278 miles in 4 hours how much hours does it take him to drive 139 miles
PLSSS HELP
Answer:
34.75 i think
Step-by-step explanation:
Answer:
[tex]\boxed {\boxed {\sf 2 \ hours}}[/tex]
Step-by-step explanation:
Let's set up a proportion to solve. Use the following setup:
[tex]\frac {hours}{miles}=\frac{hours}{miles}[/tex]
We know that it takes Oliver 4 hours to drive 278 miles.
[tex]\frac {4 \ hours}{278 \ miles}=\frac{hours}{miles}[/tex]
We don't know how long it takes him to drive 139 miles. Therefore, we use the variable x for hours, because it is unknown.
[tex]\frac {4 \ hours}{278 \ miles}=\frac{x \ hours}{139 \ miles}[/tex]
[tex]\frac {4 }{278 }=\frac{x \ hours}{139 }[/tex]
We are solving for x, the hours it takes him to drive 139 miles. The variable must be isolated. It is being divided by 139 and the inverse of division is multiplication. Multiply both sides of the equation by 139.
[tex]139*\frac {4 }{278 }=\frac{x \ hours}{139 }*139[/tex]
[tex]139*\frac {4 }{278 }={x }[/tex]
[tex]2=x[/tex]
It takes Oliver 2 hours to drive 139 miles.
Distributive Property to solve the equation. 5(x - 6) + 8 = 7x- 8 (Type the value of x.)
Answer:
x=−7
Solving for X:
Step 1: Simplify both sides of your equation.
5x−22=7x−8
Step 2: Subtract 7x from both sides.
5x−22−7x=7x−8−7x
−2x−22=−8
Step 3: Add 22 to both sides.
−2x−22+22=−8+22
−2x=14
Step 4: Divide both sides by -2.
-2x/-2 = 14/-2
^ x = -7
THEREFORE:
x is −7
What is the area of the shaded region
36
9
52
27
Answer:
36
Step-by-step explanation:
Length x width = area (6 x 6 = 36). Hope this helps.
the area of a rectangle is the same as the area of a square of side 12cm if the rectangle is 16cm long find its width
Answer:
9
Step-by-step explanation:
first find the square's area by multiplying 12 × 12 to get 144
then divide 144 ÷ 16 to find the width which is 9
helppp plssssss (10 points)
how do i answer questions like these
Answer:
Well like what? It could be anything, but what do you mean "like these"
Step-by-step explanation:
Select two answer choioces
Answer:
C or 3rd option
Step-by-step explanation:
1/3 - 2/5
15/15 - 6/15
9/15
B is not correct
2/5 - 1/3
this will be a negative answer
Which statements are true about the components of a circle? Check all that apply.
Answer:
circles are measur by 360°.
circles are similar triangle.
circles are two radis.
circles are one diameter.
Answer:
1,3,4
Step-by-step explanation:
hii please help i’ll give brainliest
Answer:
-12
Step-by-step explanation:
the opposite of 12 is -12
I need to know what the answers are and show work. Please help me! And thank you!
Answer:
x=29
∠C=93°
Step-by-step explanation:
180°-52°-35°=3(x+2)°
180°-87°=(3x)°+6°
93°=(3x)°+6°
(3x)°=87°
x=[tex]\frac{87}{3}[/tex]
x=29
∠C=3(x+2)°
=3(29+2)°
=3(31)°
=93°
3x+3/2=x/2-6 maths chapter
Answer:
x=-3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
3x+3/2=x/2-6
=6x+3/2=x-12/2
=2x-24=12x+6
=2x-12x=6+24
= -10x=30
= -3
The quadrilateral ABCD has area of 58 in2 and diagonal AC = 14.5 in. Find the length of diagonal BD if AC ⊥ BD.
Answer:
(look in the the Step by step)
Step-by-step explanation:
When the diagonals of a quadrilateral are perpendicular, the area of that quadrilateral is half the product of their lengths.
.. A = (1/2)*d₁*d₂
Substituting the given information, this becomes
.. 58 in² = (1/2)*(14.5 in)*d₂
.. 2*58/14.5 in = d₂ = 8 in
The length of diagonal BD is 8 in.
Answer:
BD = 8 in.
Step-by-step explanation:
2. Hannah's pay varies directly to the number of hours she works. If she made $231 for 28 hours of work, identify the constant of variation and write an equation to represent the relationship.
Answer:
Constant of variation: $8.25
Equation: y=8.25x
Step-by-step explanation:
231/28=8.25
Answer:8.25
Step-by-step explanation:
231/28
what angle does an arc 6.6cm on length subtends at the centre of a circle of radius 14cm? take
[tex]\pi = 22 \7[/tex]
Given:
Arc length = 6.6 cm
Radius = 14 cm
To find:
The angle subtended by the arc at the center.
Solution:
The formula for arc length is:
[tex]s=2\pi r\dfrac{\theta}{360}[/tex]
Where, s is the arc length, r is the radius and [tex]\theta[/tex] is the central angle in degrees.
Putting [tex]s=6.6,\pi=\dfrac{22}{7},r=14[/tex],we get
[tex]6.6=2\times \dfrac{22}{7}\times 14\times \dfrac{\theta}{360}[/tex]
[tex]6.6=88\times \dfrac{\theta}{360}[/tex]
[tex]\dfrac{6.6}{88}\times 360=\theta[/tex]
[tex]27^\circ=\theta[/tex]
Therefore, the measure of the central angle is [tex]27^\circ[/tex].
A triangle has three angles that measure 50 degrees, 40 degrees and
2x. What is the value of x ?
Answer:
45 degrees
Step-by-step explanation:
since a triangle has angle that add up to 180.Take 50 add with 40 and then divide by 2
There are 4 games at the carnival Kevin played all the games in 40 minutes how many minutes did he spend at each games if he spent an equal amount of time at each
What is the greatest value in the range of f(s) = x2 – 3for the domain (-3,0, 1, 2)?
Answer:
6
Step-by-step explanation:
f(s) = x^2 - 3
f(-3) = 6
f(0) = -3
f(1) = -2
f(2) = 1
I will give brainiest help pls
Answer:
it could be the 5th one !!
need help pls , 30 points
NO LINKS !
Can you please help me
Answer:
3x4
Step-by-step explanation:
If you draw a rectangle with a length of 4 and a width of 3, it will have 12 sq units as the area.
This is because A=lw. If the area is 12, the length and width must multiply to get 12. 3x4=12.
Answer:
there is what i would do to answer it
Which features are correctly stated? There is more than one answer.
is negitive -2.5 greater than -3
Answer:
yes
Step-by-step explanation:
–2.5 is greater than –3, because –2.5 lies to the right of –3 on the number line.
Which algebraic representation
should be used to find the
coordinates for Figure JKLM, the
reflection of Figure JKLM over
the y-axis?
A (x, y) = (x, y)
B (x, y) = (x,-)
C (x, y) (-, -y)
D (x, y) (-, y + 1)
Subtracting numbers is the same as adding it's opposite. Use this understanding to complete each of the equation below -5-(-7)=-5+
PLEASE ANSWER THIS IF YOU KNOW THE ANSWER
PLEASE GIVE ALL THE ANSWERS 65 POINTS
Answer:
the correct answer is 7
Step-by-step explanation:
-5-(-7) = -5 +
two minus is plus so it is
-5 + 7
Please need help nowwwwww helpppppp
please help hghjhghjjgfhjjjfhgfhbfhgkfgh
Answer:
Hello there! I would say the answer is C,
Step-by-step explanation:
I hope this helps!!!
Answer of this please BOTH!!
Answer:
1. True
2. 40.96
Step-by-step explanation:
Can provide if needed
Answer:
Question 4:True
Question 5: 40.96
Step-by-step explanation:
Question 4: 7.4 times 5.2 dived by 2.
Question 5: 6.4 x 6.4.
Please give me Brainliest (:.
1. -4(x + 3) = 8
+
= 8
+
= 8
=
X
X=
Hello! :)
1.-4(x+3)=8
-4(x+3)=8
(x+3)= -2
x=(-5)
☆GOOD LUCK!☆
I'm stuck on this question.
Answer:
Fred's total net worth is $61,900
Step-by-step explanation:
For net worth, add assets together and then subtract the liabilities from the total:
90,000 + 12,500 + 20,200
122,700 - (53,000 + 5,800 + 2,000)
61,900
Answer:
$61,900
Explanation:
Add all the assets: 90000 + 12500 + 20200 = 122700
Add all the liabilities: 53000 + 5800 + 2000 = 60800
Total assets - liabilities: 122700 - 60800 = $61900