Let the first no be x
second no=2x+1ATQ
[tex]\\ \sf\longmapsto \dfrac{1}{x}+\dfrac{1}{2x+1}=\dfrac{7}{10}[/tex]
[tex]\\ \sf\longmapsto \dfrac{3x+1}{2x^2+x}=\dfrac{7}{10}[/tex]
[tex]\\ \sf\longmapsto 30x+10=14x^2+7x[/tex]
[tex]\\ \sf\longmapsto 14x^2-23x-10=0[/tex]
On solving we get
[tex]\\ \sf\longmapsto x=-5/14\:or\:2[/tex]
Take it 2First no=2
Second no=5
The value of the two variables 'x' and 'y' will be 2 and 5, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
There are two figures. The second number is one greater than twice the first. The total of the number's reciprocals is 7/10.
Let the two numbers be 'x' and 'y'. Then the equations are given as,
y = 2x + 1 ...1
1/x + 1/y = 7/10 ...2
From equations 1 and 2, then we have
1/x + 1/(2x + 1) = 7/10
10(2x + 1 + x) = 7x(2x + 1)
30x + 10 = 14x² + 7x
14x² - 23x - 10 = 0
14x² - 28x + 5x - 10 = 0
14x(x - 2) + 5(x - 2) = 0
(14x + 5)(x - 2) = 0
x = 2, - 5/14
At x = 2, then the value of y is given as,
y = 2 (2) + 1
y = 5
The value of the two variables 'x' and 'y' will be 2 and 5, respectively.
More about the solution of the equation link is given below.
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1.Find the missing fraction, decimal, or percent. Reduce fractions to the lowest terms.
Question: 93% what is the equivalent fraction and decimal?
Hint: separate your answers for the missing information with a comma make sure not to have
additional spaces in your answers. Ex: 93/100,93 Ex: 93%,.93 Ex: 93/100,93%*
Answer:
93/100 as a fraction. 0.93 as a decimal.
Step-by-step explanation:
Riley is saving up to buy a new television. She needs a total of $1,164.38. Riley has saved $200.66 already and earns $80.31 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television?
To make 100g of jam you need 57g of strawberries, 17g of blackberries and the rest should be sugar.
What is the ratio of blackberries to sugar?
Give your answer in its simplest form.
What is the slope of the line ?
Answer:
[tex]m=\frac{4}{5}[/tex]
Step-by-step explanation:
You can calculate the slope with just 2 points, so find 2 points on the line that land perfectly on the grid.
I'll use (-2, 0) and (3, 4) here
To calculate slope:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
where (x1, y1) is your first point and (x2, y2) is your second. Technically they can go in any order, but I think its generally easier to consider first-to-last as left-to-right.
Plug in those 2 points and solve:
[tex]m=\frac{4-0}{3--2}\\m=\frac{4}{5}[/tex]
Think of slope as rise over run. A slope of [tex]\frac{4}{5}[/tex] means it rises 4, and goes over 5. It's also literally rise over run, as the top number (rise) is over the bottom number (run).
2-7/9x=5/6 without fractions
Answer:
x=0.6 repeating (meaning 6 is repeating so this is a repeating decimal)
Convert 9 km into cm
Answer:
900,000
Step-by-step explanation:
If you guys know how to do this lemme know, thanks :))
Answer:
A 65
Step-by-step explanation:
x = -5
y = -8
-5 - 5 (-8)^2 / -5 = -325 / -5
= 65
Answer:
65
Step-by-step explanation:
So, this expression is asking us to solve an equation when x = -5 and y = -8.
When asked to solve problems like this, all we have to do is plug in the numbers accordingly
[tex]\frac{x-5y^2}{x} ---->\frac{(-5)-5(-8)^2}{(-5)}[/tex]
Now, we can simplify using PEMDAS
[tex]\frac{-5-5(64)}{-5} = \frac{-5-320}{-5} = \frac{-325}{-5} = 65[/tex]
Please correct me if i'm wrong :)
some more math stuff I don't know of :(
They are both 40°. This is bc 180-65-75=40
Help me please!! it's due today
Answer:
the answer would be 14-16=-2
Step-by-step explanation:
first u look where the first long arrow goes on this problem then you follow the second arrow which stops at 6 then u count how much until negative 2. but how I did it is the form 14 how much to 0 which is 14 the I count how many until I get to -2 and there's the answer
Properties of Exponents-
Simplify (4a⁵b⁶)⁴
~exponent
===========================
(4a⁵b⁶)⁴
= 4⁴ × (a⁵)⁴ × (b⁶)⁴
= 256 × (a⁵)⁴ × (b⁶)⁴
= 256a²⁰ × (b⁶)⁴
= 256a²⁰b²⁴ ✔️
~ nice to help you ^^
(4a⁵b⁶)⁴ = ?
= 4⁴ (a⁵)⁴ (b⁶)⁴
= 256a²⁰b²⁴
1 (a) The price of a newspaper increased from $0.97 to $1.13 Calculate the percentage increase.
Answer:
16.49%
Step-by-step explanation:
0.97+16.49%=1.129953
The percentage increase is 16.49%
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100)
We are given that the price of a newspaper increased from $0.97 to $1.13
WE need to find the percentage increase.
Therefore,
Intital price = 0.97 ( 1.13 - 0.07)
= 0.16 / 0.97 x 100
= 16/0.97
= 16.49
0.97+16.49% = 1.129953
Learn more about percent here:
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what is the inequality for the graph
Y >= 2X - 5
Step-by-step explanation:
yeah-ya..... right?
Help please important if you help you get brain lay
[1] 1/2
- It will be 1/2 as large because of the scale factor
[2] 1/4
- 1/2 * 1/2 = 1/4
[3] (1/2)n
- For every scale factor (n), there will be a chance of 1/2
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Convert 4g into mg please- i'll give you 10 points
Answer:
4000 mg
Step-by-step explanation:
4grams · 1000 = 4000 milligrams
Answer:
4000 mg
Step-by-step explanation:
7x-2y=-29
9x+10y=13
emliantion substuion methd
Answer:
(-3, 4)
Step-by-step explanation:
5(7x - 2y = -29)
35x - 10y = -145
9x + 10y = 13
44x = -132
x = -3
7(-3) - 2y = -29
-21 - 2y = -29
-2y = -8
y = 4
What is six times a number in algebraic expression
Answer:
6(x)
Step-by-step explanation:
Answer:
6x
Step-by-step explanation:
x represents a number, it is also called a variable.
If there is 2 of x, it would be represented like this: 2x
If there is 1 of x, it would be represented like this: x
Pls answer i need help asap lol, No links (30 points + brainly)
How long will it take each student plan to be paid down to $1000?
The corresponding answers for each student plan are:
plan A: 15 years
plan B: 5 years
plan C: 10 years
plan D: 9 years
Thus, first, the graph corresponding to each of the plans must be analyzed. The Y-axis corresponds to money and the x-axis corresponds to the time in years.
Thus, in-plane A, it can be observed that to reach the desired value, the graph will be projected in exponential, so it will be close to 15 years. In plan B, this projection will be reached around 5 years. In plans C and D, this projection will be 10 years and 9 years respectively.
Patrice and her husband are going on a 6-mile hike. So far they have hiked
3 miles. How much farther do Patrice and her husband have left to hike?
3
Answer:
3 miles
Step-by-step explanation:
6 total miles
3 miles done
6 (total) = 3 (done) + x (unknown)
x = 6 - 3
x = 3
3 miles left to hike
1. £1000 is invested for 2 years at 5% per annum with compound interest. Work out the total amount in the account after 2 years.
Answer:
A = £1102.50
Step-by-step explanation:
Use the compound amount formula:
A = P(1 + r)^t, where P is the principal, r is the interest rate as a decimal fraction, and t is the number of years.
Here A = £1000·(1 + 0.05)^2, which evaluates to A = £1102.50
what is the simplest form 2 sqrt 3 / sqrt 6
howdy the answer is A
sqrt 2
hi can someone help me....can't get the answer.....you need to find a+b+c+d
Answer:
B) 306°
Step-by-step explanation:
1. Pentagons have a sum of interior angles of 540°
2. Triangles have a sum of interior angles of 180°
3. Knowing that triangle EFA is isosceles, we know that
<FEA = *<FAE, so they are equal to: (180° - <F) /2 = (180° - 36°) / 2
= 144° / 2
= 72°
4. m<A + m<B + m<C + m<D + m<E = 540°
It is also given that **m<D = 90°,
so therefore m<A + m<B + m<C + m<E = 450°
5. Now to find a+b+c+d (m<a + m<b + m< c+ m<d),
m<a = m<E - 72° and m<d = m<A - 72°
This means that
m<a + m<b + m< c+ m<d = (m<A - 72°) + m<B + m<C + (m<E - 72°) = 450°
6. Finally,
m<a + m<b + m< c+ m<d = 450° - 72° - 72° = 306°
EXTRAS
* < is an angle symbol
** m<D means measure of angle D
help me please!! and thank you
Answer:
(-2.5,3) is x1 y1 respectivelly. Apart from this, what part of the question are you struggling with?
I’ll give brainliest, thanks and 5 stars
the diameter of a pool is 28 m. the circumference of the deck is 101 m. what is the area of the pool and deck?
Answer:
ok
Step-by-step explanation:
soln,
d=28m
r=d/2=28/2
=14m
now,
[tex]\pi {r}^{2} [/tex]
22/7×(14×14)
22/7×196
=616m^2
I NEED HELP please, take 50 points if you answer It and a 50/50 at a brainiest.
"The hourly wage increase each employee receives each year depends on their number of years of service. Every three years of service means an increase of $0.50 per hour. So, employees that have been with the company for less than three years can expect to receive an increase of $0.50 per hour. Employees that have been with the company for at least three years, but less than six years can expect an increase of $1.00. Employees that have been with the company for at six years, but less than nine years, receive an increase of $1.50 per hour. And, employees of at least nine years, but less than twelve years receive an increase of $2.00. Write a function to represent this scenario.
Which graph represents this wage increase for x < 12?"
-normally I'd just double-check this but. . . you get it.
Red dots are starting co-ordinates and whites are ending co-ordinates .
So the graph must have red dots at the start of line and not mandatory for at the end of line.
x<12It should not be at end
Check option B
x ends at first point .And also the interval is 2
so Option B is correct
I’m downloading a 50 gigabyte game at a rate of 5.5 megabytes per second. How many hours would it take to finish installing.
Answer:
It will take 20.2 Hours to finish By the way? What game are you playing???Answer:
2.6 hours to download; installation time is unknown
Step-by-step explanation:
We assume there are 1024 MB in 1 GB, so the time required is ...
time = quantity/rate
time = 50(1024 MB)/(5.5 MB/s) ≈ 9309.1 s
There are 3600 seconds in 1 hour, so this is ...
9309.1 s/(3600 s/h) ≈2.5858... h ≈ 2.6 hours . . . to download
__
This is the time expected for the download. We have no information about the installation time, so we cannot tell you how long it would take to finish installing.
What is 4 percent of $128.72 ?
Answer:
124.72
Step-by-step explanation:
Answer:
Step-by-step explanation:
4% of 128.72 = 0.04 * 128.72
= 5.1488
Joshua gave away 1/3 of his marbles to Kale.If Kale got 25 marbles,how many marbles did Joshua have at first?
Answer:
75
Step-by-step explanation:
joshua - x
kale - 1/3x
1/3x = 25
x = 25(3)
x = 75
theres the picture i dont know how to write it out.
Answer:
x > -2
Step-by-step explanation:
As the circle in the number line is not filled, it will not include -2 and as the number line starts from -2 and goes right it will be x > -2.
Hope this helps!!
The tape diagram below represents 100%.
100%
?
What percent is represented by the shaded area?
%
Answer:
60% is the answer also give me brainliest plss
Does the following relationship represent a function?
yes that is a function
If it has any repeating x values it isn’t one