Answers
a = 18
6a - 2a = 83 - 11
4a = 72
a = 72/4
a = 18
Related Questions
How many integers less than 1000 have no factors (other than 1) in common with 1000?
Answers
2, 3, 7, 11,13 and ending with the 983, 991 and 997
1000's prime factorization is 2³ · 5³, which means that our final filter on the remaining integers should be to eliminate every integer divisible by 5. Any whole number ending in a 0 or a 5 is divisible by 5, but since we've eliminated all even numbers from our list, we've split the amount of those divisible numbers in half. It may be a bit hard to visualize this elimination, so let's figure out how many integers would get eliminated in a bit of a simpler setting first:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Usually we'd be eliminating 4 numbers from this sequence, but in a sequence with all the even numbers eliminated:
1 3 5 7 9 11 13 15 19
We only eliminate half that amoung, or 2.
Here, we'd usually be eliminating 100 of the numbers from our list of 500 (or 1/5 of the list, since we eliminate a number every 5 integers), but here, we're only eliminating half of that amount, or 50. This leaves us with 500 - 50 = 450 integers with no factors in common with 1000.
Note: We also sometimes refer to numbers with this kind of relationship as coprime or relatively prime.
What is the next number in the sequence? 3, 6, 12, , ... place an x by the pattern of the sequence. add 2 subtract 2 times 2?
Answers
this is a geometric sequence with a common ratio of 2. That means u multiply each term by 2 to find the next term.
start with 3
3 * 2 = 6
6 * 2 = 12
12 * 2 = 24...this would be ur next term
so ur answer is : multiply by 2
The volume of a can (right circular cylinder) is 10 cubic feet. the curved surface area is the area of the side. write the curved surface area s as a function of the radius r. s =
Answers
The volume formula of a cylinder is given as:
V = π r^2 h
So plugging in the value of the volume:
10 ft^3 = π r^2 h
h = 10 / (π r^2) ---> eqtn 1
The formula for the surface area of cylinder is:
s = 2 π r h + 2 π r^2
plugging in eqtn 1:
s = 2 π r [10 / (π r^2)] + 2 π r^2
s = (20 / r) + 2 π r^2 (ANSWER)
The correlation coefficient r between the size of a lake in square miles, x, and the yearly number of registered boaters, y, is 0.743. What percent of the variation in the number of yearly boaters can be explained by differences in lake sizes?
74.3%
55.2%
44.8%
37.2%
Answers
Actually variation is simply equivalent to the square of the correlation coefficient r. So we can say that:
variation = r^2
So given an r value of 0.743, so the variation is:
variation = 0.743^2
variation = 0.552
Answer:
55.2%
what is 4kx+10kx=7 solve for x
Answers
Final answer:
To solve the equation 4kx+10kx=7 for x, combine like terms to get 14kx = 7, then isolate x by dividing both sides by 14k, resulting in x = 1 / (2k).
Explanation:
The question asks: what is 4kx+10kx=7 solve for x. To solve this equation for x, we first need to combine like terms. We combine 4kx and 10kx to get 14kx. The equation then becomes 14kx = 7. To isolate x, we divide both sides of the equation by 14k. This gives us x = 7 / (14k). It simplifies further to x = 1 / (2k). Therefore, the solution to the equation is x = 1 / (2k).
geometry proof
help please
Answers
∠JLK = ∠MLN because of the vertical angle theorem
JL = LN because of definition of midpoint
ΔJLK = MLN because of SAS
∠K = ∠N because corresponding angles of congruent triangles are congruent.
Hope this helps!
so, therefore, the triangles KLJ and NLM have a side, then another adjacent side and an angle in common, Side Side Angle. That means both triangles are congruent, and if they're congruent, so are all of their angles too.
If you shift the quadratic parent function, f(x) = x2, left 12 units, what is the equation of the new function?
A. g(x) = (x – 12)2
B. g(x) = (x + 12)2
C. g(x) = x2 – 12
D. g(x) = x2 + 12
Answers
Two sisters, Allie and Bonnie are saving money for a trip to Europe. Allie has $1500 and adds $500 each month to this amount. Bonnie has $2300 and adds $400 each month to this amount. How many months must Allie save to exceed the amount of money that Bonnie has saved
Answers
If the boolean expression a is true and b is false, the value of the logical expression a and b is ________.
Answers
Jan can type 61.3 words per minute. How many words can she type during a 15-minute test
Answers
multiply 61.3 x 15
Answer:
919.5
Step-by-step explanation:
Scientists estimate that sea level has risen about _____ over the past 100 years.
A. 10 to 25 meters
B. 0 to 1 centimeters
C. 10 to 25 centimeters
D. 100 to 250 centimeters
Answers
Answer: The answer is (C) 10 to 25 centimetres.
Step-by-step explanation: We are to select the correct range by which the sea level has risen about over the last 100 years.
Scientists estimates that because of warming of the ocean and increased melting of land-based ice such as glaciers and ice sheets, the level of sea has risen from 10 to 25 centimetres over the last 100 years.
Thus, (C) is the correct option.
Evaluate the given expression if k=-84
5 |k+10| - |4k|
Answers
Steps:
5 |-84+10| - |4(-84|
5 |-74| - |-336|
5(74) - 336
370 - 336
34
A equation whose solutions form a straight line on a coordinate plane is a what
Answers
A function is given. Determine the average rate of change of the function between the given values of the variable: f(x)= 4x^2; x=3, x=3+h
Answers
[tex]\bf f(x)= 4x^2 \qquad \begin{cases} x_1=3\\ x_2=3+h \end{cases}\implies \cfrac{f(3+h)-f(3)}{(3+h)~-~(3)} \\\\\\ \cfrac{[4(3+h)^2]~~-~~[4(3)^2]}{\underline{3}+h-\underline{3}}\implies \cfrac{4(3^2+6h+h^2)~~-~~4(9)}{h} \\\\\\ \cfrac{4(9+6h+h^2)~~-~~36}{h}\implies \cfrac{\underline{36}+24h+4h^2~~\underline{-~~36}}{h} \\\\\\ \cfrac{24h+4h^2}{h}\implies \cfrac{\underline{h}(24+4h)}{\underline{h}}\implies 24+4h[/tex]
solving for a variable in terms of other variables using addition or subtraction with division calculator
Answers
3/8(z+11)=y solve for z in the literal equation
Answers
3/8(z+11)=y
3/8z+88=y
3=y(8z+88)
3/y=8z+88
(3/y)-88=8z
((3/y)-88)/8=z
Hope I helped :)
Dana was picking strawberries to sell and placing them in baskets on a table. the number of strawberries in the basket is 4 more than the number of baskets on a table. if b represents the number of baskets on each table, which expression can be used to represent the number of strawberries on 5 tables? 5b4 5(b + 4) 5b(b + 4) 5b + 4
Answers
Under GAAP-based costing, what assumption justifies allocating organization-level manufacturing overhead among products?
Answers
Simplify 8 - (-5) - 4(-7).
-63
-15
41
68
Answers
= 8 + 5 + 28
= 13 + 28
= 41
answer
41
Under which condition does a country with a small GDP have a large per capita income?
Answers
-hope this helps
the per capita part, means, the average per person, so you grab the GDP, say 5 trillion, and divide it evenly among all inhabitants, so a per-capita figure is really just GDP/population.
now, you can have a population like Germany with 80 million with a GDP of say hmmm 8000 million for simplification, the per-capita is then 8000/80 or $100 per person.
now, you could have another population like say Japan, and let's just say is less people... hmmm 20 million, with a GDP of say 4000 million.
then the per-capita in that example for Japan will be 4000/20, which is $200 per-capita, notice, the Japan's example has a higher per-capita, though the GDP is smaller to the example of Germany, that's because the Japanese population is also smaller.
sidenote: per-capita figures are often very misleading, since economies do not grow that linearly.
1) AB¯≅AD¯ Given
2)∠ACD is a right angle.- Given
3) m∠ACD=90° -Definition of right angle
4) m∠ACB=90° -Given
5) m∠ACB=m∠ACD -Transitive Property of Equality
6) ∠ACB≅∠ACD Definition of congruent angles
7) C is the midpoint of BD¯ Given
8)C bisects BD¯ ?
9) BC¯≅CD¯ Definition of bisect
10) AC¯≅AC¯ Reflexive Property of Congruence
11) △ABC≅△ADC -SAS Congruence Postulate
What is the correct reason for Statement 8?
Given
Definition of bisect
Definition of congruent segments
Definition of midpoint
Answers
Answer:
By definition of midpoint.
Step-by-step explanation:
proof:
1.Statement: [tex]\overline{AB}\cong \overline{AD}[/tex].
Reason: Given.
2.Statement: [tex]\angleACD[/tex] is a right angle.
Reason:Given.
3.Statement:[tex]m\angle ACD=90^{\circ}[/tex].
Reason: By definition of right angle.
4.Statement: [tex]m\angle ACB=90^{\circ}[/tex].
Reason: Given.
5.Statement: [tex]m\angle ACB=m\angle ACD[/tex]
Reason: Transitive property of equality.
6. Statement:[tex] m\angle ACB\cong m\angle ACD[/tex].
Reason: By definition of congruent triangles.
7.C is the midpoint of [tex]\overline {BD}[/tex].
Reason: Given.
8.Statement: C bisect [tex]\overline{BD}[/tex]
Reason: By definition of midpoint.
9.Statement:[tex]\overline{BC}\cong \overline{CD}[/tex]
Reason: By definition of bisect.
10.Statement:[tex]\overline{AC}\cong\overline{AC}[/tex]
Reason: By reflexive property of congruence.
11.Statement:[tex]\triangle ABC\cong \triangle ADC[/tex].
Reason: SAS congruence postulate.
The lengths of the sides of a triangle are represented by 3 consecutive even integers. if the perimeter of the triangle is 72 feet, find the lengths of its sides
Answers
P = 72
a = x
b = x + 2
c = x + 4
72 = x + x + 2 + x + 4
72 = 3x + 6
72 - 6 = 3x
66 = 3x
66/3 = x
22 = x
x + 2 = 22 + 2 = 24
x + 4 = 22 + 4 = 26
the sides of ur triangle are : 22,24,26 <==
If two opposite sides of a square are increased by 15 meters and the other sides are decreased by 5 meters, the area of the rectangle that is formed is 69 square meters. find the area of the original square.
Answers
Yesterday raina had c baseball cards .today she got 24 more . Using c , write an expression for the total number of baseball cards she has now .
Answers
It would be c + 24.
Hope This Helps You!
Good Luck :)
- Hannah ❤
A jar contains n nickels and d dimes. There are 20 coins in the jar, and the total value of the coins is $1.40. How many nickels and how many dimes are in the jar?
Answers
d = number of dimes
n+d = 20
0.05n + 0.10d =1.40
-0.05n - 0.05d = -1
0.05n + 0.10d = 1.40
0.05d = 0.40
d = 8
n = 20-8=12
There are 12 nickels and 8 dimes
25% of what number is 9
can you explain how you got your answer and show your answer too.
Thank You
Answers
Note too that the fraction [tex] \frac{25}{100} [/tex] can be reduced to [tex] \frac{1}{4} [/tex], so what the question is really asking is: 1/4 of what number is 9?
Well, if we know that 1/4 of the number is 9, we can easily find how large the whole number is by finding all 4/4 of it (the whole number), or 4 x 9, which multiplies out to 36.
If 75 cans cost 56.25 dollars how much would it be for 3 cans
Answers
divide 56.25/7 then round then * 3
56.25 / 75 = 0.75 for each can
0.75 *3 = $2.25 for 3 cans
Round 28,573 to the nearest thousand
Answers
first, find the number in the thousands place....it is 8...now look at the number directly to the right of it....
** if that number is 5 or above, u would round that 8 up to a 9
** if that number is 4 or below, u would leave the 8 alone
so the number directly to the right of 8 is a 5...that means we have to round that 8 up to a 9
making ur answer : 29,000 <== because 28,573 is closer to 29,000 then it is to 28,000
What is the LCD of 1/3 and 3/7
Answers
Let me know if I was correct or horribly wrong.
What is the area of the figure?
Assume that all angles are right angles.
A. 980 square inches
B. 1000 square inches
C. 1200 square inches
D. 1100 square inches
Answers
B, 1000 square inches