Answer:
5/6
Step-by-step explanation
1) The smallest perfect square number 1 point
divisible by 5, 6 and 27 is
Answer:
[tex]8100[/tex], which is the square of [tex]90[/tex].
Step-by-step explanation:
Factor the three divisors into prime numbers:
[tex]5[/tex] is a prime number itself.[tex]6 = 2\times 3[/tex].[tex]27 = 3^3[/tex].Any number divisible by these three divisors should include the following factors:
[tex]2[/tex],[tex]3^3[/tex], and [tex]5[/tex].Note that all these three prime factors have an odd power ([tex]1[/tex], [tex]3[/tex], and [tex]1[/tex], respectively)
[tex]2[/tex] becomes [tex]2^2[/tex] (add [tex]1[/tex] to the initial power of [tex]1[/tex] to obtain [tex]2[/tex].)[tex]3^3[/tex] becomes [tex]3^4[/tex].[tex]5[/tex] becomes [tex]5^2[/tex].The product of these three factors would be:
[tex]2^2 \times 3^4 \times 5^2 = 8100[/tex].
Indeed, [tex]8100[/tex] is divisible by all these three divisors. At the same time, because all the powers of its prime factors are even,
[tex]8100 = (2 \times 3^2 \times 5)^2 = 90^2[/tex].
Answer:
8100 is the smallest perfect square divisible by 5,6 and 27
Step-by-step explanation:
5 = 5 * 1
6 = 2 * 3
27 = 3 * 3 *3
5 * 6 * 27 = 2 * 3 * 3 * 3 * 3 * 5
Factors of perfect square will be perfect squares
To make this a perfect, multiply by 5 * 2
Perfect square = 5 * 6 * 27 * 5 * 2
= 8100
In the following figure, the teacher asks a student named Jerrica to find the length of segment AM. Jerrica sets the two sides equal to each other, does some algebra, and proclaims that the length of segment AM is 8 units long
State whether Jerrica is correct in her conclusion. If she is incorrect, explain the source of her error and give the correct length. In at least four sentences, support your response with a brief explanation. Be sure to include the terms midpoint, segment, and bisector in your explanation.
Answer/Step-by-step explanation:
Let us try to find the lenght of AM step-by-step to see if Jessica is correct or incorrect in her conclusion and possibly find out where she made an error if she's incorrect.
Now briefly, keys state some facts that explains or guides us while solving a problem like this:
1. Point M is the midpoint of segment AB.
2. The midpoint M, is a bisector of segment AB.
3. Segment AB is divided into two congruent or equal parts, AM and MB.
4. Therefore, by implication, segment AM (4x - 18) = segment MB (2x - 2).
5. To find the lenght of AM, we need to generate an equation to enable us solve for the value of x.
6. Equation to use to solve using algebra can be gotten by setting segment AM equal to segment MB. Which gives us:
4x - 18 = 2x - 2
Solve for x. Combine like terms.
4x - 2x = 18 - 2
2x = 16
Divide both sides by 2
x = 8
To find the lenght of AM = 4x - 18, replace x with 8 in the expression for the lenght of segment AM. (Note: this is what Jessica failed to do. She assumed 8 to be the length of segment AM.)
AM = 4(8) - 18 (Substitution)
AM = 32 - 18
Length of segment AM = 14 units
Jessica's error was her assuming that x = 8, is the length of segment AM. Her conclusion is wrong.
She ought to have plug in the value of x into the expression given for the lenght of segment AM.
Solve for Xon the following Equations.
1. 4 + 7 x X = 22
Step-by-step explanation:
4 + 7 x X = 22
4+7x=22
7x=22-4
7x=18
x=18/7
What is 17% of 425=?
4x+7y given x=3/4 and y=-1/3
Answer:
4x+7y
4(3/4) +7(-1/3)
3-7/3
=2/3
please mark as brainliest
If 13x+2=15 then 6x=?
Answer:
6x=6
Step-by-step explanation:
13x+2=15
13x=13
x=1
Answer: 6x = 6
X = 1
Step-by-step explanation:
First you need to find the value of x with the equation given.
13x = 13 (I subtracted 2 from both sides)
X = 1
make the numbers from 1 to 20 using the numbers 1 9 8 4
Answer:
9-1+8+4
Step-by-step explanation:
9-1=8
use that 8 and add the other 8 to make 16
now add the 4. 16+4=20
Answer:
1, 4, 8, 9, 11, 14, 18, 19
(Number 5)help plzzz
Answer:
See below.
Step-by-step explanation:
So we want to prove that:
[tex]\sqrt8+\sqrt2=3\cdot 2^{\frac{1}{2}}[/tex]
First, simplify √8. This is the same as:
[tex]\sqrt8=\sqrt{4\cdot 2}=\sqrt4\cdot\sqrt2=2\sqrt2[/tex]
Therefore, our equation is now:
[tex]2\sqrt2+\sqrt2=3\cdot2^{\frac{1}{2}}[/tex]
Combine like terms on the left:
[tex]3\sqrt2=3\cdot 2^\frac{1}{2}}[/tex]
The square root of something is the same as taking that number to the one-half power. Thus:
[tex]3(2)^\frac{1}{2}}=3\cdot 2^\frac{1}{2}}[/tex]
Rewrite:
[tex]3\cdot2^\frac{1}{2}}\stackrel{\checkmark}{=}3\cdot2^\frac{1}{2}}[/tex]
And we're done!
Answer and I will give you brainiliest
MATH
Answer:
I think that the answer would be question 3
Step-by-step explanation:
I think i remember doing this question
s=gr-5gc³, solve for g
Answer:
g=r/1+5c3
Step-by-step explanation:
............ ........
what is a number in which the digit 7 is worth 70
Answer:
Tens, 70, 7x10'1
"If four shirts cost $112, how much will 10 shirts cost? Assume all the shirts are the same price."
Answer:
$280
Step-by-step explanation:
4 shirts = $112
1 shirt = $112 ÷ 4
= $28
10 shirts = $28 × 10
= $280
Answer:
Step-by-step explanation:
112/4= $28 each
$28 x 10 shirts = $280
Jackson and Derek have a lemonade stand. They sell lemonade
Need soome help on this homework question thanks
Answer:
See Below
Step-by-step explanation:
HELP QUICK
Remove grouping symbols and combine like terms.
4a2 - 3[2b - 3b(b - 1)]
Answer:
[tex]4a^{2} + 9b^{2} + 3b[/tex]
Step-by-step explanation:
Distributive Property
[tex]4a^2 - 3(2b - 3b^{2} + 3b)[/tex]
Distributive Property
[tex] {4a}^{2} - 6b + 9b^{2} + 9b[/tex]
Combine Like Terms
[tex]4a^{2} + 9b^{2} + 3b[/tex]
-15 - 7= Please help if you know what it is please show work if you can as well? :)
Answer:
-22
Step-by-step explanation:
Is 2 thirds times 5 greater than or less than 5
15 out of 60 is what percentage
Find the midpoint between -3π and π
The midpoint is -1π.
Answer:
The midpoint is -1π.
Step-by-step explanation:
Yoko has a rectangular poster that is 15centimeters long and 12 centimeters wide. What is the area of the poster in square meters.
Answer:
44
Step-by-step explanation:
you would add 15+15 and 12+12 because it is rectangular meaning there are 4 sides 2 for the y angle and 2 for the x angle
Complete the equation describing how
x and y are related.
-1
0
1
2.
3
y
-4
-4.5
-5
-5.5
-6
-6.5
y = -0.5x + [?]
Answer:
The relationship between x and y is;
y = -0.5x - 4.5
Step-by-step explanation:
When x = -1, y = -4.
Thus from y = -0.5x + [?], we have;
-4 = -0.5(-1) + [?]
Let's call the question mark m for easy identification.
-4 = 0.5 + m
m = -4 - 0.5
m = - 4.5
At x = 0, y = - 4.5. Thus;
-4.5 = - 0.5(0) + m
m = -4.5
At x = 1, y = -5. Thus;
-5 = - 0.5(1) + m
-5 = - 0.5 + m
-5 + 0.5 = m
m = -4.5
We are seeing the same patter as m = - 4.5
Thus the relationship between x and y is;
y = -0.5x - 4.5
what is the first step to solve -2x+5x=9
Answer:
Step-by-step explanation:
Hello,
You need to group the terms in x
[tex]-2 \times x + \times x = (-2+5) \times x = 3 x[/tex]
And then, you can divide by 3 to find the solution
[tex]-2x+5x=3x=9<=>x=9/3=3[/tex]
Hope this helps
Answer:
add the x's
You have to combine them
you have to subtract the -2x to the 5x
find the value of x. write your answer in simplest radical form
Answer:
[tex]x = 4 \sqrt{2} [/tex]Step-by-step explanation:
To find the value of x we can use either sine or cosine
Using cosine we have
[tex] \cos(\theta) = \frac{adjacent}{hypotenuse} [/tex]From the question
x is the hypotenuse
4 is the adjacent
We have
[tex] \cos45= \frac{4}{x} \\ x \cos45 = 4 \\ x = \frac{4}{ \cos(45) } [/tex]We have the final answer as
[tex]x = 4 \sqrt{2} [/tex]Hope this helps you
Step-by-step explanation:
Sinø=opp/hyp
Sin45=4/x. (× b.s by x)
xSin45=4. (÷ b.s by Sin 45)
x=4/Sin45
x=4.7
HELP!
Write an equation to represent: The cost of buying lemonade stand supplies is $0.50 per cup, $5 for ingredients, with a total cost of $30.
Answer:
$0.50x+5=30
Step-by-step explanation:
maf
Please explain how this digraph works.
Angles XQL and MQR are congruent because they are vertical angles. So
209 - 13 b = 146 - 4 b
Solve for b :
209 - 13 b = 146 - 4 b
209 - 146 = 13 b - 4 b
63 = 9 b
b = 63/9 = 7
Then the measure of angle XQL is
(209 - 13*7)º = 118º
What is the solution of the following quadratic inequality? x2 – 4x – 21 ≤ 0
Answer:
This is the answer
Answer: B
Step-by-step explanation:
Help. Your backyard is 17 feet longer than it is wide. Its area is 7068 square feet. Its width is Solve by using quadratic equation.
Answer: Width=76 ft
Step-by-step explanation:
Let x = width, then x+17=length
Solve:
(x+17)x=7086
x²+17x=7086
x²+17x-7086=0
(x-76)(x+93)=0 ⇔ This is rounded to the nearest integer
x=76 or x=-93 (rej) ⇔ A length cannot be negative.
Find the weighted average of these values.
Value Weight
5.005.00 75.0%75.0%
6.006.00 15.0%15.0%
7.007.00 10.0%10.0%
Answers:
The Weighted Average = 5.35
Explanation:
The weighted average is given by:
W(avg) = v1*w1 + v2*w2 + v3*w3
v1.v2.v3 are the values
w1,w2,w3 are the weights
W(avg) = 5.00*0.75 + 6.00*0.15 + 7.00*0.10
W(avg) = 3.75+0.9+0.7
W(avg) = 5.35
Hence, the weighted average is equals to 5.35
Two bags each contain tickets numbered 1 to 10. John draws a ticket from each bag five times, replacing the tickets after each draw. He records the number on the ticket for each draw from both the bags: Bag 1Bag 2 Draw 124 Draw 245 Draw 313 Draw 464 Draw 579 For the the first bag, the mean is 4 and the standard deviation is 2.5. For the second bag, the mean is 5 and the standard deviation is 2.3. Using the formula below or Excel, find the correlation coefficient, r, for this set of tickets John drew. Answer choices are rounded to the nearest hundredth. r equals fraction numerator 1 over denominator n minus 1 end fraction sum from blank to blank of open parentheses fraction numerator x minus x with bar on top over denominator s subscript x end fraction close parentheses open parentheses fraction numerator y minus y with bar on top over denominator s subscript y end fraction close parentheses 0.50 0.56 0.70 0.75
Answer: 0.75
Step-by-step explanation:
Given the following :
Using the formula above :
___bag 1__bag 2__(bag1-m)/sd__(bag2-m)/sd2
D 1___2____4_____-0.8________-0.4
D 2___4____5_____0_________0
D 3___1____3_____-1.2_________-0.9
D 4___6___ 4_____0.8_________-0.4
D 5___7___9_____ 1.2_________ 1.7
Bag1:
Mean = 4
Standard deviation = 2.5
Bag2:
Mean = 5
Standard deviation = 2.3
Σ-0.8*-0.4 + 0 + - 1.2*-0.8 + 0.8*-0.4 + 1.2*1.7) = 3
1/ (n-1) × 3
1/(5 - 1) × 3
(1/4) × 3
0.25 * 3 = 0.75
Answer:
0.75
Step-by-step explanation:
why do you think that Eulid's ideas have lasted for thousands of years?
Answer:
ye
Step-by-step explanation: