Answers
Answer:
a = 1, b = 2, c = 3
Step-by-step explanation:
[tex]a + \frac{1}{b + \frac{1}{c} } = \frac{10}{7} \\ \\ a + \frac{1}{b + \frac{1}{c} } = 1 + \frac{3}{7} \\ \\ a + \frac{1}{b + \frac{1}{c} } = 1 + \frac{1}{\frac{7}{3} } \\ \\ a + \frac{1}{b + \frac{1}{c} } = 1 + \frac{1}{2 + \frac{1}{3} } \\ \\ equating \: like \: terms \: on \: both \: sides \\ \\ a = 1 \\ \\ b = 2 \\ \\ c = 3[/tex]
Related Questions
find the missing term in each of the given proportions
Answers
W varies directly as r cubed and inversely as s. If w=24 when r= 4 and s= 8, find out when w= 81 and s= 27
Answers
Answer:
a) Given that w=81 and k = 0.375 then r = 6
b) Given that s=27 and k = 224 then w=32
Step-by-step explanation:
Step(i):-
Given that W varies directly as r³
⇒ w∝r³
⇒ w = kr³
where 'k' is proportionally constant
given that w= 24 and r =4
⇒ 24 = k (4)³
⇒ k = [tex]\frac{24}{64}[/tex]
⇒ k = 0.375
Step(ii):-
Given that W varies indirectly as 's'
w ∝[tex]\frac{1}{s}[/tex]
W =k [tex]\frac{1}{s}[/tex]
where 'k' is proportionally constant
28 = k ([tex]\frac{1}{8}[/tex])
k = 28 × 8 = 224
Step(iii):-
a) Given that w=81 and k = 0.375
w = kr³
81 = 0.375 (r)³
r³ = 216
r = ∛216 =6
r =6
b)
Given that s=27 and k = 224
W =k [tex]\frac{1}{s}[/tex]
w = 224 ([tex]\frac{1}{27}[/tex])
w = 32
Please help on my last question asap
Answers
Answer:
A is the answer
Step-by-step explanation:
expression for...37 more than the quotient of 24 and 8
Answers
Answer:
37 more than the quotient of 24 and 8 = 24 ÷ 8 + 37
Step-by-step explanation:
24 ÷ 8 + 37
Order of Operations
3 + 37
Add
= 40
The expression is 24 ÷ 8 + 37
Hello, happy Friday, I am just here with some geometry questions.
Please only answer this if you know the answer. If you have a comment, please add it to the comment box. Only answer the question if you can explain your answer and why you think it is accurate. Thanks, good luck!
Please explain how you got it.
Answers
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
By the Triangle Proportionality Theorem:
[tex]\displaystyle \frac{x}{12}=\frac{x+1}{15}[/tex]
By cross-multiplication:
[tex]\displaystyle 12(x+1)=15(x)[/tex]
Distribute:
[tex]12x+12=15x[/tex]
Subtract 12x from both sides:
[tex]12=3x[/tex]
Hence:
[tex]x=4[/tex]
Answer:
4
Step-by-step explanation:
The first thing you should notice is that the triangles (the smaller one and the larger one) are similar due to angle-angle similarity (the top angle equals itself, and because the bases are parallel lines cut by a transversal, the base angle of the bigger triangle is equal to the corresponding base of the smaller triangle.
Similar triangles' corresponding sides have equal ratios to one another. That means we can set up an equation: side of smaller triangle ÷ corresponding side of larger triangle = other side of smaller triangle ÷ corresponding side of larger triangle. We plug the values given to us and can change this equation to:[tex]\frac{x}{x + 12} = \frac{x + 1}{x + 16}[/tex] **
We now multiply both sides of the above equation by [tex](x + 12)(x + 16)[/tex] to get: [tex]x(x + 16) = (x + 1)(x + 12)[/tex]
[tex]x^{2} + 16x = x^{2} + 13x + 12[/tex]
[tex]3x = 12[/tex]
[tex]x = 4[/tex]
That means our answer, for the value of x, is 4
** Make sure you don't say [tex]\frac{x}{12} = \frac{x + 1}{15}[/tex], because those aren't the sides of the larger square.
Katy's number is 6 more than Pete's number. The sum of their number is 198. Find the number.
Answers
Answer:
Kathy=105
Pete=93
Pleaseee help, I'll give your brainlyest!!! The points earned in the first half of Football game was Tampa Bay Buccaneers 21 and Kansas City Chiefs 6. What percent did the Bucs score over the Chiefs? Hint: Bucs over Chiefs = blank over 100
Answers
Answer:
97% I think I am not sure I cant do it well
Graph the function f(θ)=4sin(θ−π/2).
Answers
please help asappp worth 20
Answers
Answer:
98
Step-by-step explanation:
angles 1 and 2 are congruent, the lines in each side of the shape prove this.
another way to solve if you are not sure is to subtract all of the numbers from 360. all quadrilaterals equal 360 degrees, so if you subtract each of the three angles from 360, you will be left with the last angle.
360-120-44-98=98
Hope this helps :)
Which of these IS a Pythagorean triple? 11,60,62 6,8,15 5,11,12 18,80,82
Answers
Answer:
18,80,82
Step-by-step explanation:
82^2= 6724
18^2+ 80^2= 6724
The square of the largest number is equal to the sum of the squares of the two smaller numbers.
67 - a = 58
What is the value of a
Answers
Answer:
a = 9
Step-by-step explanation:
67 - a = 58
67 - 58 = 9
So a = 9
Answer:
67-58=9 it is an answer i think
Pls help extra points and mark brainlist
Answers
Answer:
3
Step-by-step explanation:
A term is a mathematical expression. Each of these is a term. Therefore, there are 3 terms.
Bonnie is n years old.
Clara is three times as old as Bonnie.
Danesh is seven years older than Bonnie.
The total of Bonnie's age, Clara's age and Danesh's age is T years.
Find a formula for T in terms of n.
Answers
Answer:
T = 5n + 7
Step-by-step explanation:
Bonnie : n
Clara : 3n
Danesh : 7 + n
T = n + 3n + 7 + n
T = 5n + 7
there were 62 people in the movie theater for the matinee. ticket sales for that showing were $364. if adult tickets cost $7 and children tickets cost $3.50, how many of each were at that show. please solve with systems of equations.
Answers
Answer:
Step-by-step explanation:
a+c=62, c=62-a
7a+3.5c=364, using c found above gives you
7a+3.5(62-a)=364 expand left side
7a+217-3.5a=364 group like terms on left side
3.5a+217=364 subtract 217 from both sides
3.5a=147 divide both sides by 3.5
a=42, since c=62-a
c=62-42=20
So 20 children and 42 adult tickets were sold.
If angle E is 121 degrees. What is the measure of angle F?
Answers
Answer:
F = 59
Step-by-step explanation:
Find x and thank first
Answers
Answer:
130
Step-by-step explanation:
[tex]2x \degree + 460 \degree = (6 - 2) \times 180 \degree \\ \\ 2x \degree + 460 \degree =4 \times 180 \degree \\ \\ 2x \degree + 460 \degree =720 \degree \\ \\ 2x \degree =720 \degree -460 \degree \\ \\ 2x \degree =260 \degree \\ \\ x \degree= \frac{260\degree}{2} \\ \\ x \degree= 130 \degree \\ \\ x = 130[/tex]
(8x²-4x+1)+(-3x²+x+5)
Answers
Answer:
[tex]5x^{2} -3x+6[/tex]
Step-by-step explanation:
5x ² - 3x+6
A circular tabletop has a radius of 2.8 feet.
Find its circumference. (Use a = 3.14)
Answers
Step-by-step explanation:
Radius (r) = 2.8 feet
circumference (c)
= 2πr
= 2 * 3.14 * 2.8
= 17.584 feet
Helppp please please helpppp
Answers
Answer:
the difference of median before the well (which was 53 minutes) and after the well (which was 28 minutes) is 25 minutes
Step-by-step explanation:
Can someone help with these 2 questions? I will mark the person who helped me brainiest
Answers
Answer:
Surface Area of Triangular Prism=444 m
Surface Area of Square Pyramid= 146 cm
Step-by-step explanation:
Hope this helps.
Evaluate the limit to the right
- does not exist
- infinity
- C
- negative infinity
- none of these
Answers
Shield smspsosbdjfif. Dishab s did a so f turns.
Pls answer this is a khan academy question
Answers
Answer:
Oak tree - linearBirch tree - exponentialStep-by-step explanation:
The first table represents a linear function
For each 3 years, the rise of branches is ~12The second table represents an exponential function
For each years time, the branches increase ~4 timesFind the circumference of the circle. Use 3.14 for . Round to the nearest hundredth,.12.5 in. The circumference of the circle is about inches.
Answers
69r + E is the answer
here is a rule for a sequence. After the first two terms, each term is half the sum of the previous two terms.
Answers
Answer:
Step-by-step explanation:
A)
(22+12)/2 = [17] (12+17)/2 = [14.5] (17+14.5)/2 = [15.75]
B)
(10.5*2) - 5 = [16] ......... NOT 13
1. The Complete Sequence is 2, 22, 12, 17, 14.5, 15.75.
2. The second term is 16.
What is Sequence?A grouping of numbers in a specific order is known as a sequence. On the other hand, a series is described as the accumulation of a sequence's constituent parts.
Given:
1. 2 22 12 _ _ _
So, the rule is ( sum of consecutive terms) /2
Then, the fourth term is
= (22+12)/2
= 17
and, fifth term is
=(12+17)/2
= 14.5
and, sixth term is
= (17+14.5)/2
= 15.75
So, the Complete Sequence is 2, 22, 12, 17, 14.5, 15.75
2. First term =5 and 3rd term = 10.5
Again, third term = ( 5 + x ) /2
21 = 5 + x
x = 16
Learn more about Sequence here:
https://brainly.com/question/21961097
#SPJ2
Jimmy and Kima are going on a trip. They will drive for three days. The first day they will drive 182 miles. The second day they will drive 439 miles. The third day they will drive 217 miles.
Which expression is the closest estimate of how many miles Jimmy and Kima will drive on their trip?
options.
150 + 400 + 200
200 + 400 + 200
200 + 450 + 200
200 + 500 + 200
Answers
Answer:
200 + 400 + 200
This is because you always round up past 50 and down under 50 so.
182->200
439->400
217->200
Mike’s rectangular dining room is 8 feet wide and 6 feet long . Mike wants to install a new wood floor and new base boards. It will cost $10.00 per square foot for the new flooring . How many square feet of flooring does Mike need to purchase?
Answers
Answer:
it is 48
Step-by-step explanation:
the reason it is 48 is because the length is 6 feet and it is 8 wide so 8x6=48
and it would be 480.00$
Answer:
it is 48!
Step-by-step explanation:
8x6 = 48
correct me if I'm wrong
Candace received a 14% raise as part of a promotion with her work. Before the promotion she was earning $22.50 an hour. What is her new hourly wage?
A)$3.15. B)$26.35. C)$41.85. D)$25.65
Answers
explanation: 14% of $22.50 is 3.15
22.50 + 3.15 = $25.65
hope this helps :)
Answer:
D
Step-by-step explanation:
Which of the following functions is a polynomial?
Ο Α.
f(x) = x
B
g(x) = log2 (x)
Od
r(x) = 2
ор
s(x) = (x + 21
Answers
Step-by-step explanation:
The area of the triangle below is 33.62 square feet. What is the length of the base?
Answers
Answer:
4.1
Step-by-step explanation:
I need help plz plz plz plz plz plz plz plz plz plz
Answers
Answer:
Variable: t
Constant: 18
Step-by-step explanation:
A constant is the number that is known, the variable is unknown. A variable is usually denoted with a letter and a constant with digits. I hope this helps :0)