Answer:
D) AD=21
Step-by-step explanation:
QD=1/2 AQ
QD=1/2(14)
QD=7
AQ+QD=AD
AD=14+7
AD=21
Sam writes on a white board the positive integers from 1 to 6 inclusive, once each, She then writes p
additional fives and q sevens on the board. The mean of all the numbers on the board is then 5.3.
What is the smallest possible value of q?
Answer: The smallest possible value of q is 9.
Step-by-step explanation:
If we have the set of N numbers:
{x₁, x₂, x₃, ..., xₙ}
The mean of this set is:
M = (x₁ + x₂ + x₃ + ... + xₙ)/N
Now, in this case our set is:
{1, 2, 3, 4, 5, 6, p times 5, q times 7}
Then we have a total of:
6 + q + p numbers.
The mean of this set will be:
Mean = 5.3 = (1 + 2 + 3 + 4 + 5 + 6 + p*5 + q*7)/(6 + p + q)
This is the equation that we will use now.
First, we can simplify this as:
5.3 = (21 + p*5 + q*7)/(6 + p + q)
Now we can pass the denominator in the right to the other side as:
5.3*(6 + p + q) = (21 + p*5 + q*7)
31.8 + p*5.3 + q*5.3 = 21 + p*5 + q*7
Now we want to isolate the variable p in one side of the equation.
p*5.3 - p*5 = 21 - 31.8 + q*7 - q*5.3
p*0.3 = q*1.7 - 10.8
p = (q*1.7 - 10.8)/0.3 = q*(1.7/0.3) - 36
p = q*(1.7/0.3) - 36
p = q*(17/10)*(10/3) - 36
p = q*(17/3) - 36
Now we can see that the denominator is 3, so q should be a multiple of 3.
We want to start with the smallest multiples of 3, but if we use q = 3, then we will have a negative value of p (the same happens if we use 1 = 6)
We do not want that, then we need to use q = 9
p = 9*(17/3) - 36
p = 3*17 - 36
p = 15
Then we have;
9 times the number 7
15 times the number 5 (plus one, because it was already on the first 6 numbers that Sam wrote)
The smallest possible value of q is 9.
Now we want to get the smallest possible value of q.
Remember, p and q need to be positive numbers.
Camels are know to lose about 25% of their body weight during times when food and water are scarce. if a camel weighed 1,588 pounds and then lost 25% of its weight, which of these is closest to the amount of weight that the camel lost?
A jacket costing £30 increased in price by 10% and then by a further
15%. How much did it cost after the increases?
71/3 - 21/4 (2 1/5 × 3/4) with working
Question 1
1 pts
Two bottled waters and three bags of chips cost $4.75, One bottled water and two bags
of chips cost $2.75.How much do the chips cost?
(write answer without dollar sign, ex: $3.25 becomes 3.25)
how many months give you 27 years
Answer:
324 Months
Step-by-step explanation:
Answer:
324 months according to goggle.
What is the solution to 3.25k + 1 - 4.25k = -2
Answer: K=3
Step-by-step explanation: Have a nice day!-Lily ^_^
how can i teach an entire year of alg 2 before next school year? i learned nothing this year and i want to take an advanced physics class next year but i’m scared it will affect me if i don’t learn it on my own ://
Answer:
use khan academy, its a website or an app which a lot of kids which are homeschooled learn education on.
A class writes the equation n + n + 1 + n + 2 = 87 to solve the following problem.
The sum of 3 consecutive odd integers is 87. Find the three integers.
What error did they make?
Answer:
n + n+2 + m+4 = 87
I got this answer.....hope it may helpful
Which is equivalent to 42x +49.
A. 2 (21 + 24)
B. 8x + 13
C. 4 (2x + 9)
D. 7 (6x + 7
Answer:
D. 7 (6x+7)
Step-by-step explanation:
Factor 7 out of 42x + 49
Find sin(0)
A. DE/EF
Answer: D. DE/DF
Step-by-step explanation: I got it right on edg...
A biology class examined some flowers in a local meadow. The students saw 88 perennial
flowers and 12 annual flowers. What percentage of the flowers were perennials?
Answer:
88%
Step-by-step explanation:
An object is moving east, and it’s velocity changes from 65 m/s to 25 m/s in 10 seconds.which describes acceleration
Answer:
The acceleration of object is -4 ms⁻²
Step-by-step explanation:
We are given:
Initial Velocity = 65 m/s
Final Velocity = 25 m/s
Time t = 10 seconds
We need to find acceleration.
The formula used to find acceleration is: [tex]Acceleration=\frac{Final\:Velocity-Initial\:Velocity}{Time}[/tex]
Putting value in the formula and finding acceleration:
[tex]Acceleration=\frac{Final\:Velocity-Initial\:Velocity}{Time}\\Acceleration=\frac{25-65}{10}\\Acceleration=\frac{-40}{10}\\Acceleration=-4\:ms^{-2}[/tex]
So, acceleration of object is -4 ms⁻²
is this correct??
ONLY ANSWER IF YOU ARE FOR SURE RIGHT!
the question: “which trig. ratio woild you use to find the missing side?”
Answer:
Step-by-step explanation:
It's not the tangent. The tangent relates two sides neither of which is the hypotenuse, which you are given.
The trig ratio you would use is the one that relates the angle to the side opposite the angle and the hypotenuse.
That is the definition for the Sine.
Each of a company's 546 employees earns $790 each week. What is the total
amount the company pays all its employees for 4 weeks?
Answer:
$1,725,360
Step-by-step explanation:
For this, you would just multiply every number: [tex]employees×weekly salary×weeks[/tex] which is [tex]546×790×4=1,725,360[/tex].
Answer:
I think all u need to do is mulitply thoses numbers just use calulator
Step-by-step explanation:
hope it helped
I need help Finding the perimeter of a towel that measures 2 feet by 34 foot
Answer:
72 feet
Step-by-step explanation:
multiply 34 by 2 (because there is 2 sides), and multiply 2 by 2 (because there is 2 sides), and you'll get 68 and 4. add them together, and you'll get 72.
Solve the equation below.
2 (x - 4) - 4x = -10
Answer:
x=2
4-8=-4
-4(-4)=-16
-16-(-4)=-10
help me!
Define the opposite and the absolute value of -15.
The opposite of -15 is -15. The absolute value of -15 is -15.
The opposite of -15 is -15. The absolute value of -15 is 15.
The opposite of -15 is 15. The absolute value of -15 is 15.
The opposite of -15 is 15. The absolute value of -15 is -15.
Answer:
The opposite of -15 is 15. The absolute value of -15 is 15.
Ansbsbxuhsbxbwaszbwihxbiybxcscbyqsbciasbhicbxshbabxh
Step-by-step explanation:
plss helppp mee! The corporate team-building event will cost $18 if it has 3 attendees. How many attendees can there be, at most, if the budget for the corporate team-building event is $42? Assume the relationship is directly proportional.
Answer:
16 attendees at most. sorry if its wrong
Step-by-step explanation:
33 divided by 11 = 3.
3 for each attendee.
48 - 33 = 15.
15 divided by 3 = 5.
x to the 2nd power minus 6 equals 1
Answer:
2.646
Step-by-step explanation:
You have to 6 to the 1 and then take the square root of the number which is seven leaving you with 2.646
Answer:
x = ±√7
Step-by-step explanation:
Symbolically, we have x^2 - 6 = 1, and so x^2 = 7, so that x = ±√7
(-5, -3); slope = -3/5
turn into y intercept equation please
What is the name of a triangle that has no equal sides? *
Answer:
Scalene triangle
Step-by-step explanation:
This would be called a
Scalene Triangle
help pls 6th grade math
Answer:
All of them are correct except for the last one which is incorrect
Step-by-step explanation:
All you need to substitute the answers given for "r" and see if its less than or equal to 2
- 3.5 [tex]\leq[/tex] 2 Correct (negative numbers are always smaller than a positive number)
- 2 [tex]\leq[/tex] 2 Correct (negative numbers are always smaller than a positive number)
-1 [tex]\leq[/tex] 2 Correct ( negative numbers are always smaller than a positive number)
0 [tex]\leq[/tex] 2 Correct ( 0 has a value much more less than the value of 2)
2 [tex]\leq[/tex] 2 Correct (they both have the same value as "2")
4 [tex]\frac{1}{4}[/tex] [tex]\leq[/tex] 2 Incorrect ( 4 [tex]\frac{1}{4}[/tex] has a much more greater value than 2, therefore this is incorrect)
Geometry
Is Dn (triangle DEF) = triangle D'E'F' an enlargement or a reduction? What is the scale factor n of the dilation?
Answer:
A. Enlargement, 1.5
Step-by-step explanation:
Comparing the two triangles, it would be observed that ΔD'E'F' is larger than ΔDEF. This implies that ΔDEF has been multiplied by a scale factor.
To determine the scale factor used, consider the side DE and D'E' of the two triangles:
scale factor = [tex]\frac{D'E'}{DE}[/tex]
= [tex]\frac{6}{4}[/tex]
scale factor = 1.5
Therefore, ΔDEF was enlarged to ΔD'E'F' using a scale factor of 1.5. Then the correct option is A.
state if polygons are similar
PLZ HELP (MUST BE 1000% SURE)
Estimate a 15% tip on a dinner bill of $67.32 by first rounding the bill amount to the nearest ten dollars.
I need help!!! I’ll mark you brainliest
This is timed!!
Answer:
c = 28
Step-by-step explanation:
2 * 6 -5 = 7
4 * 7 =28
hope it help
plz fo"ow me
can someone help me with this
Answer:
1] x=4.21
2] 52.5
3] 3.82
4] 38.73
5] 32.005
6] 31.21
Step-by-step explanation:
Find the coordinates of the point that is 2/5 the way from point F to point A
Answer:
umm I really dont know but can u tell me how'd u put a pic up
Adult tickets for the school musical are sold for $3.50 and student tickets are sold for $2.50 on a given night 425 tickets were sold for $ 1237.50. Wrote a system of linear equations for the problem
Answer:
3.5x + 2.50y = 1237.50
425 = x + y
Step-by-step explanation:
number of adult tickets: x
number of student tickets: y
3.5x + 2.50y = 1237.50
( value of adult ticket [3.50]* number of adult tickets [x]) + (value of student ticket [2.50] * number of student tickets [y]) = total value (1237.50)
425 = x + y
(number of adult tickets [x]) + (number of student tickets [y]) = total (425)