Answer:
abxskFj
Step-by-step explanation:
a respuesta an cuando (f 94)=94
d)) The ratio of the monthly income and expenditure of Sunayana is 5 : 3. If she
increases her income by Rs 5,000 and decreases the expenditure by Rs 3,000, the
new ratio becomes 5:2. Find her income and expenditure.
Answer:
Sunayana's income is ₹25000 and expenditures are ₹15000.
Step-by-step explanation:
Let i denote the monthly income and e denote the expenditures.
We know that the ratio of the monthly income to expenditure is 5:3. So, we can write the following proportion:
[tex]\displaystyle \frac{i}{e}=\frac{5}{3}[/tex]
Let's multiply both sides by e. This yields:
[tex]\displaystyle i=\frac{5}{3}e[/tex]
We know that when the income is increased by 5000 and the expenditures are decreased by 3000, the new ratio is 5:2. So, we can write the following proportion:
[tex]\displaystyle \frac{i+5000}{e-3000}=\frac{5}{2}[/tex]
Let's multiply both sides by [tex](e-3000)[/tex]:
[tex]\displaystyle i+5000=\frac{5}{2}(e-3000)[/tex]
Since we know that [tex]i=\frac{5}{3}e[/tex], substitute:
[tex]\displaystyle \frac{5}{3}e+5000=\frac{5}{2}(e-3000)[/tex]
So, let's solve for the expenditures. Distribute the right:
[tex]\displaystyle \frac{5}{3}e+5000=\frac{5}{2}e-7500[/tex]
Subtract [tex]\frac{5}{2}e[/tex] from both sides:
[tex]\displaystyle -\frac{5}{6}e+5000=-7500[/tex]
Subtract 5000 from both sides:
[tex]\displaystyle -\frac{5}{6}e=-12500[/tex]
Multiply both sides by -6/5. So, the expenditures are:
[tex]e=\text{Rs }15000[/tex]
We can use the original ratio to find Sunayana's income:
[tex]\displaystyle i=\frac{5}{3}e[/tex]
Substitute 15000 for e. Evaluate:
[tex]\displaystyle i=\frac{5}{3}(15000)=\text{Rs }25000[/tex]
So, Sunayana's income is ₹25000 and expenditures are ₹15000.
And we're done!
Answer: Income = 25000, Expenditures = 15000
Step-by-step explanation:
A ratio of 5:3 can also be written in fraction form as [tex]\dfrac{5}{3}[/tex] (which is in simplified format from [tex]\dfrac{5x}{3x}[/tex]).
Adding 5000 to 5x results in 5x + 5000
Subtracting 3000 from 3x results in 3x - 3000
--> [tex]\dfrac{5x+5000}{3x-3000}[/tex]
The new ratio of 5:2 can be written in simplified fraction form of [tex]\dfrac{5}{2}[/tex].
Set the fractions equal to each. Then cross multiply and solve for x.
[tex]\dfrac{5x+5000}{3x-3000}=\dfrac{5}{2}[/tex]
5(3x - 3000) = 2(5x + 5000) Cross multiplied
15x - 15000 = 10x + 10000 Distributed
5x - 15000 = 10000 Subtracted 0x from both sides
5x = 25000 Added 15000 to both sides
x = 5000 Divided 5 from both sides
The original ratio of 5 : 3 --> 5x:3x
where 5x is the income and 3x is the expenditures results in:
income = 5x expenditures = 3x
= 5(5000) = 3(5000)
= 25000 = 15000
PLS HURRY!!!!!!!!
The members of set A are the integer solutions of the inequality 2x−5≤11 and the members of set B are the integer solutions of the inequality −2x+7≤−9. What is one member of the intersection of A and B?
HOPE IT HELPS YOU!!!
Help pls
-28 = 5y - 8
Answer:
y=-4
Step-by-step explanation:
Hope this helps :)
Answer:
y = -4
Step-by-step explanation:
Assuming we are solving for y, start by isolating the variable:
-28 = 5y - 8
-20 = 5y (Added 8 on both sides.)
-4 = y (Divided 5 on both sides.)
help due in an hour!!
To find m, we can use the formula y2 - y1 / x2 - x1
x1 = 2
y1 = 50
x2 = 4
y2 = 90
Let's plug these numbers into our formula.
m = 90 - 50 / 4 - 2 = 40/2 = 20
So far our equation looks like: y = 20x + b
Now, let's plug one of the points into our equation.
50 = 20(2) + b
Simplify
50 = 40 + b
Subtract 40 from both sides.
10 = b
The final equation is: y = 20x + 10
Use the distributive property to write an equivalent expression -3(-5x+7)
Answer:
15x - 21
Step-by-step explanation:
-3(-5x+7)
you sidtribute the 3 to both numbers by multiplying both the -5 and the 7 by -3
-3 x -5x = 15x (remember, a negative times a negative equals a positive)
-3 x 7 = -21 (A negative times a positive equals a negative)
15x - 21
You and your friend each purchase an equal number n of magazines. Your magazines cost $1.50 each and your friend's magazines cost $2 each. The total cost for you and your friend is $10.50. Write and solve an equation to find the number of magazines you purchased.
Given:
You and your friend each purchase an equal number n of magazines.
Your magazines cost = $1.50 each
Your friend's magazines cost = $2 each
Total cost = $10.50
To find:
The equation to find number of magazines you purchased.
Solution:
Your magazines cost = $1.50 each
Your friend's magazines cost = $2 each
Number of magazines purchased by you and your friend = n
Total cost = [tex]1.50n+2n[/tex]
It is given that total cost is $10.50.
[tex]1.50n+2n=10.50[/tex]
[tex]3.50n=10.50[/tex]
Divide both sides by 3.50.
[tex]n=\dfrac{10.50}{3.50}[/tex]
[tex]n=3[/tex]
Therefore, required equation is [tex]1.50n+2n=10.50[/tex] and the number of magazines purchased by you is 3.
Please help, will give brainiest to whomever gets this right.
Answer: everything except option 2 I think
Step-by-step explanation:
Rational numbers are numbers that can be written as quotients
A steel beam can be cut to different lengths for a project.
Assuming the weight of a steel beam is proportional to its length, what information would you need to know to write an equation that represents this relationship?
Answer:None
Step-by-step explanation:
You can write a statement of proportionality without any additional information:
weight = k × length for some constant k
If you need to know the specific weight of a specific length, then you need to know the constant of proportionality (the value of k).
please help !!!!! PLEASE !!!
Answer:
answer would be 120 degrees.
Step-by-step explanation:
because 4y+4+60=180
angle Q =4y+4
so 180-60=120
estimate 1/4 times 21
Answer:
63/4 or 15.75 or 153/4.
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Which table shows equivalent ratios?
Feet
2.
4.
5
6
Inches
36
48
60
72
Feet
2
3
4
6
Inches
22
39
48
72
Feet
2
5
6
7
Inches
24
60
72
84
Feet
2.
3
Inches
28
36
Answer: c
Feet
2
5
6
7
Inches
24
60
72
84
Step-by-step explanation: 1ft = 12 inches 2ft=24 inches 3ft= 36 inches etc
multiply ft by 12 to get inches
Find the scale factor and find the unknown side lengths
Answer:
n=15 j=12
Step-by-step explanation:
The scale factor is 1.5
Match up the triangles, and you can see that 12/8=1.5
10*1.5=j, or 15
18/1.5=12
What is the value of the 9 in 194.6
Answer:
90
Step-by-step explanation:
1 is in the hundreds place
9 is in the tens place
4 is in the ones place
6 is in the tenths
PLZ HELP WILL GIVE BRAINLIEST!!!!!!! Write each repeating decimal using bar notation.
. 0.9222….
Answer:
[tex]0.9\bar{2}[/tex]
Step-by-step explanation:
since the bar or line over the number means that it is repeated. This is also equivilent to the rational fraction 83/90
Steven has £1100.
He pays £530 for a new TV.
His mortgage payment is £480.
How much money does he have left after paying for the TV and
paying his mortgage?
Answer:
£90
Step-by-step explanation:
Total money=£1100
Cost of new tv=£530
Mortage payment=£480
Therefore total money left =1100-(530+480)
=1100-1010=£90
positive integer less than 2
Answer:
1
Step-by-step explanation:
1 is a positive integer
Find the mean and median for the lengths of the jumping frogs’ bodies shown below (the length are in centimeters).
Write an equation in simplest form to find the value of x after that Using your equation above, solve for x and once you do that Find the measures of each angle of the quadrilateral with my other screenshot png I will mark you as brainliest and you have take this seriously I cant fail 9 minutes till deadline
Answer:
X=75 Bottom is 75, right is 105, up is 70, left is 110.
Step-by-step explanation:
4.4x+30=360
4.4x=330
x=75
Find x so that l is parallel to m.
Answer:
Step-by-step explanation:
(10x + 17)° = 87° + 5x° (This is because of the rule of corresponding angles)
=> 10x° = 87° + 5x° - 17°
=> (10x - 5x)° = 87° - 17°
=> 5x° = 70°
=> x° = ( 70/5 )°
=> x° = 14°
Therefore x = 14°
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
How to build up am international business empire by yourself?
Answer:
Honestly first get rid of all the negative people around you there will always be that person or persons who don't belive in you. But trust me if you belive in yourself give it your 100% and don't stop grinding. ask people for promotions and don't br afraid to experiment try not to stay on the same idea try, trying something new.
the sum of 4 consecutive integers is -62 write an equation to determine the smallest of the integers
Answer:
x + (x+1) + (x+2) + (x+3) = -62
x = -17
Step-by-step explanation:
x = smallest
x + (x+1) + (x+2) + (x+3) = -62
4x +6 = -62
4x = -68
x = -17
PLEASE HELP
I like or go to the beach or I like to eat ice cream.
I like or go to the beach and I like to eat ice cream.
I enjoy rainy days and I like to eat ice cream.
I do not enjoy eating ice cream or I do not enjoy rainy days.
Therefore, I enjoy ice cream.
ANSWER OPTIONS
p v q
~q v r
r ^ q
p ^ q
(Three dots in the shape of a pyramid) q
Answer:
Step-by-step explanation:
These are what the symbols mean so you can better understand them
p: I like to go to the beach
q: I like to eat ice cream
r: I do not enjoy rainy days
^ = means OR so a that has or in it.
v = means AND so any sentance with and in it
~ = not so any phrase that condridicts what the origional P,Q, and/or R
∴ = Therefore so any phrase with therefore.
So; p ∧ q would be P... OR... Q acording to the key above would be
I ilke to go to the beach OR I like to eat icecream.
You can figure out the rest! Hope this helps you!
Answer:
~q v r
Step-by-step explanation because I mart
Which set of graphs can be used to find the solution set to 3 log2(x + 4) < 6?
It's D
Answer:
Graph D
Step-by-step explanation:
EDG 2021
Solve for x and y please
Answer:
y=41 73=x
Step-by-step explanation:
180=x+9+98
minus 98 from both sides
82=x+9
minus 9 from both sides
73=x
2y=x+9 because they are corresponding angles
2y=73+9
2y=82
divide by 2 on both sides
y=41
What conclusion can be made?
Answer: B) The value of k must be between 1 and 2
The function f(x) has a restricted domain [1, 2] which means [tex]1 \le x \le 2[/tex]
So we can only pick inputs in that interval. If x = k, then [tex]1 \le k \le 2[/tex]
i need help with this geometry
URGENT AND EASY TO DO -7(7x+8)≤287 PLEASE
Answer:
x≥−7
Step-by-step explanation:
Answer:
x [tex]\geq[/tex] -7
Step-by-step explanation:
-49x - 56 [tex]\leq[/tex] 287
-49x [tex]\leq[/tex] 343
x [tex]\geq[/tex] -7
note: if you're going to divide by a negative number you need to flip the sign.
Simplify:
3(2x - 6) + x
A: 6x - 18
B: 7x - 6
C: 7x - 18
D: 5x - 6 +x
6x -18+x
7x-18
Option C is the correct answer
The hu family goes out for lunch, and the price of the meal is $57. The sales tax on the meal is 7%, and the family also leaves a 15% tip on the pre-tax amount. What is the total cost of the meal?
The total cost of the meal is $
Answer:
$69.54
Step-by-step explanation:
57 * .07 = 3.99
57* .15 =8.55
8.55+3.99+57 =69.54
Fracción equivalente de 1/3
Answer:
2/6
Step-by-step explanation:
1/3 times 2
