Answer:
51
Step-by-step explanation:
you plug 8 in for n to get 6*8 which is 48 and then add 3 which is 51.
Which of the following is the best estimate
of the square root of 90 ?
a. 9.1
b. 9.4
C. 9.7
To get the best estimate of the square root of 90 we will apply a short cut.
Square root of 90 will be in the form of a mixed fraction as [tex]a\frac{b}{c}[/tex] or in decimals.
Here, a = square root of a perfect square number nearest to 90.
b = Difference of 90 and the perfect square number
c = Double of 'a'
Nearest square number to 90 = 81
Square root of 81 = 9
So, a = 9
Difference in 90 and 81 = 9
So, b = 90 - 81 = 9
And double of 9 = 18
Therefore, c = 18
Hence, [tex]\sqrt{90}\approx9\frac{9}{18}[/tex]
[tex]\approx9.5[/tex]
So the nearest number given in the option may be 9.4
Therefore, Option B will be the answer.
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Container A and container B have leaks.
Container A has 800 ml of water and is leaking 6 ml per minute.
Container B has 1000 ml and is leaking 10 ml per minute.
Let m represest the number of minutes the contains are leaking.
How many minutes, m, will it take for the two containers to have the same amount of water? Write and solve an equation to show your work.
Answer:The two containers will have the same amount of water in 50 minutes
Step-by-step explanation:
800-6x=1000-10x
Robert bought a $5 lottery ticket such that 1 in 100 would win $10, 1 in 1000 would win $100, and 1 in 50 million would win 1 million. What is the expected value of a lottery ticket in dollars?
Does Robert expect to earn a profit if he buys 100 tickets?
By how much?
Answer:
Loss of $4.78
Loss of $478
Step-by-step explanation:
Expected value = Sum of (winning amount x winning probability) - cost of lottery ticket
Expected value = ( $10 x 1/100 + $100 x 1/1000 + $1 million x 1/$50 million ) - $5
Expected value= $0.22 - $5
Expected value= - $4.78
The Negative value of expected value indicates loss)
Amount expected to lose if 100 tickets are bought = 100 x $4.78 = $478
what is the solution to -(6m+8) =4(17 - m)
Answer:
m=-38
Step-by-step explanation:
-(6m+8)=4(17-m)
We move all terms to the left:
-(6m+8)-(4(17-m))=0
We add all the numbers together, and all the variables
-(6m+8)-(4(-1m+17))=0
We get rid of parentheses
-6m-(4(-1m+17))-8=0
We calculate terms in parentheses: -(4(-1m+17)), so:
4(-1m+17)
We multiply parentheses
-4m+68
Back to the equation:
-(-4m+68)
We get rid of parentheses
-6m+4m-68-8=0
We add all the numbers together, and all the variables
-2m-76=0
We move all terms containing m to the left, all other terms to the right
-2m=76
m=76/-2
m=-38
The solution to the given equation is [tex]-38[/tex]
We are given -(6m+8) =4(17 - m) Open the bracket in both side by multiplying (-) to the terms at left hand and 4 to the terms at right hand[tex]-6m - 8 = 68 - 4m[/tex]
Select like terms[tex]-6m + 4m = 68+8[/tex]
Simplifying,[tex]-2m = 76[/tex]
[tex]m= \frac{-76}{2}[/tex]
[tex]= -38[/tex]
Therefore, the value of m is[tex]-38[/tex]
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what information is needed to prove the triangles are congruent using the Hypotenuse-Leg theorem
5. and 6.
The required triangle KLM and triangle QPR has been proved congruent with Hypotenuse-Leg theorem.
What are Pythagorean triplets?In a right angled triangle, its side, such as hypotenuse, perpendicular and base is Pythagorean triplets.
From triangle KLM and QPR,
KM = QR
LK = PQ
Square and subtract above equations,
KM² - LK² = QR² - PQ² - - - - - (1)
From Pythagoras theorem,
hypotenuse ² = perpendicular² + base square,
For triangle KLM
KM² = LK² + LM²
KM² - LK² = LM² - - - - -(2)
For triangle QPR,
QR² = PQ² + PR²
QR² - PQ² = PR² - -- - - - (3)
From equation 2 and 3 put value in equation 1
LM² = PR²
LM = PR
Thus, triangle KLM and triangle QPR proved to be congruent. And the theorem is Hypotenuse-Leg theorem.
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Carmelo's height is 2.12 m. Express this measurement in millimeters. Explain your thinking.
Answer:
2120 milimeters
Step-by-step explanation:
to convert meters to milimeters, you need to multiply your value by 1000, so in this case 2.12x 1000= 2120
Hope this helps
For each of the following, write a proportion statement and solve for the
unknowns
a) 8: x = 12:27
b) a :9:7 = 36:b:42
Please I WILL MARK BRANIEST FOR GOOD ANSWER
For what value of n makes the following statement true?
Show your work.
Answer: n = 10
Step-by-step explanation:
Dividing exponents results to subtracting them. 8-(-6) is 14. Multiplying negative numbers together results in positive numbers. the exponent 14 - 4 is 10. So n = 10.
Select all the true statements.
A. p || q because ∠2 ≅ ∠3.
B. p || q because ∠5 ≅ ∠7.
C. r || s because ∠2 ≅ ∠4.
D. r || s because ∠5 ≅ ∠6.
E. r || s because ∠5 ≅ ∠7.
Hint: You won't flip the sign in every problem. ONLY FUP it when you or by a 9 - 2x < 6x - 15 Solutions You solve and graph these: 3 - 8x -29 Solutions 1x + 2x -7 «6 Solutions 3X-P66 x=4 x=2 free T XCH
You only flip the inequality sign when you multiply or divide both sides by a negative number.
================================================
Problem 1
[tex]3 - 8x \ge -29\\\\-8x \ge -29-3\\\\-8x \ge -32\\\\x \le \frac{-32}{-8} \ \text{ inequality sign flip}\\\\x \le 4[/tex]
The inequality sign flip happens because we divided both sides by -8.
The graph will have a closed circle at 4 with shading to the left.
Three solutions are x = 0, x = 1, x = 2. You can pick any three numbers you want as long as they are 4 or smaller.
================================================
Problem 2
[tex]1x+2x-7 < 6\\\\3x-7 < 6\\\\3x < 6+7\\\\3x < 13\\\\x < \frac{13}{3}\\\\x < 4 \frac{1}{3}[/tex]
The graph will have an open circle at 13/3 = 4&1/3 = 4.333 approx. The shading is to the left. No inequality sign flip happens because we divided both sides by a positive number.
Your choice of three solutions is correct. You can pick anything smaller than 4.3333
================================================
Problem 3
[tex]9-2x \le 6x-15\\\\-2x-6x \le -15-9\\\\-8x \le -24\\\\x \ge \frac{-24}{-8} \ \text{ inequality sign flip}\\\\x \ge 3[/tex]
The solution set is any value 3 or larger. Three solutions are x = 5, x = 6 and x = 7.
The graph has a closed circle at 3 on the number line. The shading is to the right.
what is the percent change from 50 to 22
Answer:
56% decrease
Step-by-step explanation:
Answer:
There was a 56% decrease
Step-by-step explanation:
Choose all the expressions that have 2/3 as a product
Answer:
A & E
Step-by-step explanation:
A. 4/5 x 5/6 = 2/3
B. 7/8 x 9/10 = 63/80
C. 1/3 x 2/3 = 2/9
D. 3/4 x 7/12 = 7/16
E. 6/7 x 7/9 = 2/3
Options A and E are correct.
A. 4/5 x 5/6
E. 6/7 x 7/9
Let us simplify the expressions one after the other to identify the ones with a product of 2/3
[tex]\frac{4}{5} \times \frac{5}{6} = \frac{4}{6} = \frac{2}{3}[/tex]
[tex]\frac{7}{8} \times \frac{9}{10} = \frac{63}{80}[/tex]
[tex]\frac{1}{3} \times \frac{2}{3} = \frac{2}{9}[/tex]
[tex]\frac{3}{4} \times \frac{7}{12} = \frac{7}{16}[/tex]
[tex]\frac{6}{7} \times \frac{7}{9} = \frac{6}{9} = \frac{2}{3}[/tex]
From the options considered, only options A and E give 2/3 as a product
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van anyone help me with this???
Answer:
The square root of 73
Step-by-step explanation:
The square root of 37 squared is 37
6^2=36
36+37=73
The square root of 73 is an irrational number, so just leave it as the square root of 73
Answer:
x = [tex]\sqrt{73}[/tex]
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² = 6² + ([tex]\sqrt{37}[/tex] )² = 36 + 37 = 73 ( take the square root of both sides )
x = [tex]\sqrt{73}[/tex]
25=2(6-3x) + 1
Ehat is the answer for x?
Answer:
x = - 2Step-by-step explanation:
25 = 2(6 - 3x) + 1
25 = 12 - 6x + 1
25 - 12 - 1 = -6x
12 = -6x
x = 12 / -6
x = - 2
5. [02.06]
Which of the following is the correct graph of the solution to the
inequality - 82 -5x + 2 > -38? (1 point)
O
- 1
0
1
2
3
4
5
6
-9-8-7 -6 -5 -4 -3 -2
7
8
9
-2 -1
0
1
2
3
4
-9-8-7 -6 -5 -4 -3
5
6
7
8
9
O.
-9-8-7-6
-5 -4 -3 -2 -1
0
1
2
3
4
5
6
7
8
9
-1
0
-9-8-7 -6 -5 -4 -3 -2
2
3
4
5
6
7
8
9
Answer:
2.14
Step-by-step explanation:
The solution to the inequality is 2 ≤ x < 8.
What is meant by mathematical inequality ?A mathematical inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
Here,
The mathematical inequality given is,
8 ≥ -5x + 2 > -38
Subtracting 2 from all sides,
-8 - 2 ≥ -5x + 2 - 2 > -38 - 2
So, -10 ≥ -5x > -40
Dividing by -5 on all sides,
Therefore,
2 ≤ x < 8
That means the inequality is reserved.
Hence,
The solution to the inequality is 2 ≤ x < 8.
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Attaching the image file here.
Pleaseee help me with number eight,, I don’t know how to do it at all
Xavier is thinking of a number. Nine more than four times the number is the same as fifteen less than twice the number. What is Xavier's number?
Answer:
x=1
Step-by-step explanation:
9+4x=15-2x
9+6x=15 Add two to both sides
6x=6 divide by 6
x=1
Answer:
-12
Step-by-step explanation:
I set it up as an equation based on the word problem you gave me
So
2n - 15 = 4n + 9
Combine like terms
-2n = 24
Isolate the variable n
-2n/-2 = 24/-2
n = -12
To check your work replace the n with -122(-12) - 15 = 4(-12) + 9
-24 - 15 = -48 + 9
-39 = -39
Figure A is a scaled image to Figure B
Answer:
The correct answer is 4.4.
Step-by-step explanation:
I hope this helps!
Brainliest?
What is the answer to -4.5=-0.15p
Answer:
45 = 1.5p
450 = 15p
p=30
Your annual clothing bill went up from $677.15 last year to $783.17 this year. What is your annual percent of increase from last year to this year?
Answer:
15.7% just got it right
Step-by-step explanation:
Answer:
D) 15.66%
Step-by-step explanation:
Mr. Bingley makes $430,000 a year, what is his monthly pay?
Answer: $35,833
There are 12 months in a year. Divide 430,000 by 12.
430,000 divided by 12 = $35,833...
Mr. Bingley makes $35,833 per month.
Wish you the best of luck!
Answer:
$35,833.33
Step-by-step explanation:
Amount Mr.Bingley makes in a year(in 12 months)= $430,000
Hence, the money he earns in a month= $430,000/12=$35,833.33
PLEASE HELP. Write in algebraic form: “the square root of the sum of a and b”
Answer:
The answer is (a + b )^2
Step-by-step explanation:
Write in algebraic form: “the square root of the sum of a and b”
answer: [tex]\sqrt{a+b}[/tex]
Why did the people of the Neolithic era domesticate both plants and animals? They needed more reliable sources of food and supplies.They wanted more supplies to use to conquer other settlements. They had to find new ways to get more water for their people. They competed to become more advanced than other groups of people.
The correct option is " They needed more reliable sources of food and supplies".
Neolithic is termed the stone period. This is so because this was the evolution of the prehistoric humans that developed and discovered many of the things that are made up of stones.
The people of this era domesticated both flora and fauna that means plants and animals as the forest was their inhabitants, plants were their food eatables and animals were the ones that they can hunt, play, tame, and sometimes can also have them in their meals. They were using plants and animals with various methods and types.
Therefore, the option " They needed more reliable sources of food and supplies" is the correct answer.
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Answer: a
Step-by-step explanation:
They needed more reliable sources of food and supplies.
Write an equation of the line that is parallel to line y = – 5x + 3 and passes the point (5, – 2).
Answer:
y = -5x +23
Step-by-step explanation:
If the line is parallel it has the same slope, so we only have to solve for the y-intercept.
To get from (5,-2) the y increases by 25
So y = -5x +23
Help me figure out the last two please
Answer:
[tex]1)\ x = 5[/tex]
[tex]2)\ x = 14[/tex]
[tex]3) \ x = 15,\ y = 2[/tex]
Step-by-step explanation:
1) Given that M<1 = 95 + 7x and M<2 = 55 - x, you should look on the diagram to see what type of angles M<1 and M<2 are.
On the diagram at the top, angles 1 and 2 appear to be supplementary angles, meaning they add up to 180 degrees. You can apply this information to creating an equation:
M<1 + M<2 = 180°[tex](95 + 7x) + (55 - x) = 180[/tex]Now you can solve this equation by combining like terms on the left-hand side of the equation.
[tex]150+6x=180[/tex]Subtract 150 from both sides of the equation in order to isolate the variable x.
[tex]6x=30[/tex]Divide both sides of the equation by 6 in order to isolate the variable x completely.
[tex]x=5[/tex]2) You are given that M<3 = 5x + 12 and M<4 = 7x - 16, so look on the diagram at the top to find out what type of angles they are.
Angles 3 and 4 appear to be alternate exterior angles, meaning that they are equal to each other as stated by the Alternate Exterior Angles Theorem. You can use this information to make an equation where M<3 = M<4.
M<3 = M<4[tex]5x+12=7x-16[/tex]Subtract 5x from both sides of the equation, and add 16 to both sides of the equation.
[tex]28=2x[/tex]Divide both sides of the equation by 2 to isolate the variable x completely.
[tex]14=x \rightarrow x=14[/tex]3) Given that M<1 = 7y + 16, M<2 = 2x, and M<3 = 4x - 30, look on the diagram at the bottom to find out what type of angles they are.
Since angles 2 and 3 include an "x" variable, you should start with them first in order to be able to solve for x. Angles 2 and 3 are complementary angles, meaning that they are equal to each other based on the Complementary Angles Theorem. Translate this information into an equation:
M<2 = M<3[tex]2x=4x-30[/tex]Subtract 2x from both sides of the equation and add 30 to both sides of the equation.
[tex]30=2x[/tex]Divide both sides of the equation by 2 in order to isolate the variable x completely.
[tex]15=x \rightarrow x=15[/tex]Now to solve for y - based on the diagram, you can see that angle 1 and angle 2 are vertical angles, meaning that they are equal to each other based on the Vertical Angles Theorem.
You can make them equal to each other in an equation:
M<1 = M<2[tex]7y+16=2x[/tex]We solved for x and know that it is 15, so substitute 15 into the equation for x.
[tex]7y+16=2(15)[/tex][tex]7y+16=30[/tex]Subtract 16 from both sides of the equation.
[tex]7y=14[/tex]Divide both sides of the equation by 7 to isolate the variable x.
[tex]y=2[/tex]Hope this helped! Comment below if you have any clarifying questions.
The sum of three consecutive odd integers is 105. What are the three numbers?
Answer:
33 , 35 , and 37
Step-by-step explanation:
Let the middle number of the three consecutive odd numbers be n . Therefore the other two numbers will be n − 2 and n + 2
Answer:
33, 35, 37
Step-by-step explanation:
PLZ give me a brainlist
I don't understand this question can someone help me break it down?
Answer:
y = 52
x = 30
Step-by-step explanation:
Hi!
Y is a vertical angle. See <DOB? That's it's vertical pair. So, y = 2x - 8 [vertical angles are congruent].
Now, to find y, we need x. We can find x by using the fact that AB is a straight line. The angles on a straight line add up to 90.
Given the fact that <AOB is 90 degrees, <EOB also has to be 90 degrees.
So, EOB = 90 degrees. Remember that an angle is equal to the sum of the measures of the angles that it is made of.
EOB is therefore equal to <EOD + <DOB.
90 = <EOD + DOB
90 = (x +8) + (2x-8)
90 = 3x
x = 30
Check:
38 + 52 = 90.
So, x = 30
Now, we go back to find y.
y = 2x-8
y = 52
8 - 2d = c 40 + 3d = 2
Answer:
sd=4
#=^;_/#"
r3dplusesay
How do you write 41,300 in scientific notation?
Answer: 4.13 x 10^4
Step-by-step explanation: You have to just count the places such as the tens all the way to the thousands which leaves you with the exponent of 4.
Answer:
scientific notation would be
4.13 x 10^4
Given f(x) = x + 9 and g(x) = x2 find (gºf)(x).
Answer:
g(f(x)) = (x + 9)^2 or x^2 + 18x + 81
Step-by-step explanation:
(gºf)(x) is the "c .... " of two functions f(x) and g(x): f(x) is the input to g(x).
We start with g(x): g(x) = x^2. We replace the first x with f(x) and the second x with x + 9:
g(f(x)) = (x + 9)^2 or x^2 + 18x + 81
