Answer:
Let the income of husband be X
The income of wife will be = X+2000
Combined income of couple will be= (X+2000) + X
= 2X+2000
It is given that combined income of couple is = 58000
Therefore 2X+2000= 58000
2X = 58000-2000
2X = 56000
X= 56000/2 = 28000
Therefore Income of husband is 28,000
and Income of wife = 28000+2000= 30,000
Step-by-step explanation:
The ratio of students in Class X to Class Y is 2 : 5. There are 24 more students in Class Y than Class X. How many students must transfer from Class Y to Class X so that both classes have equal number of students?
Answer:
The answer will be 12 students. 12 students must transfer from Class Y to Class X so that both classes have equal number of students.
Step-by-step explanation:
Since the ratio is 2 : 5, we would multiply both number to 8 and get 16 : 40.
Now find the average of those two numbers: (16 + 40) / 2 which gets you 28. Now either subtract 16 from 28 or subtract 28 from 40 and you will get 12.
28 - 16 = 12 students
40 - 28 = 12 students.
A square has an area of 146.41m2 work out the premeter of the square
Suppose that one of sides is x :
Area = x²
thus :
[tex]146.41 = {x}^{2} [/tex]
[tex]x = \sqrt{146.41} [/tex]
[tex]x = 12.1[/tex]
_____________________________________________
Perimeter = 4x
[tex]p = 4 \times 12.1[/tex]
[tex]p = 48.4[/tex]
The Perimeter of Square is 48.4 m.
What is Area and Perimeter of Square?The Area of square is the product of the side.
Area of Square = side x side
and, The Perimeter of Square is 4 times the side of square
Perimeter of Square = 4 x side
Given:
Area of Square = 146.41 m²
Now, Area of Square = side x side
Area of Square = side²
side² = 146.41 m²
side = √146.41 m²
side = 12.1 m
Now, the Perimeter of Square = 4 x side
= 4 x 12.1
= 48.4 m.
Lear more about Area and Perimeter of Square here:
https://brainly.com/question/29199125
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Solve the equation the square root of the quantity x plus 4 minus 3 equals 1 for the variable. Show each step of your solution process. (10 points) SOLVE FOR X
x + 4 - 3 = 1
x + 1 = 1
x = 0
Answer:
x = 8
Step-by-step explanation:
√x + 4 - 3 = 1
1) Move constant terms to the opposite side of the equation: √x + 4 = 1 + 3
2) Simplify the right side: √x + 4 = 4
3) Now square both sides to eliminate the square root: (√x + 4)^2 = 4^2 (x + 4) = 16
4) Move the constant term to the other side: x + 4 = 16 – 4
5) Simplify the right side: x + 4 = 12
6) Move constant side to the other side: x = 12 – 4
7) Finally, after simplifying the right side again, you get: x = 8
Therefore, the solution to the equation √(x + 4) - 3 = 1 is x = 8.
How many times larger is 8 X 10^5 than 2 X 10^3
Answer:
798,000
Step-by-step explanation:
Simplify all the exponents
8×10^5
=8×100,000
=800,000
2×10^3
=2×1,000
=2,000
Difference=800,000-2,000
=798,000
Can you give 50 cent in 8 dollars to 17 people
Find the side length of the triangle 4x+8=3x+12
Answer:
I think it might be 4.
Step-by-step explanation:
:)
I found something that says 6x or something if that helps?
I hope you get it right!!!
A regular polygon has an exterior angle of 40
°
Work out the number of sides of the polygon.
Answer:
9 sides
Step-by-step explanation:
The sum of the exterior angles of a polygon = 360°
To find the number of sides n divide the sum by 40°
n = 360° ÷ 40° = 9
The table shows a set of points on a line. What is the slope of the line?
Answer:
-3
Step-by-step explanation:
take a set of points (2,3) (3,-6)
[tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]\frac{-6-(-3)}{3-2}[/tex]
[tex]\frac{-3}{3-2}[/tex]
[tex]\frac{-3}{1}[/tex]
-3
Someone help me please. I don't just want the answer, I need an explanation on how it's done too.
Answer:
Below.
Step-by-step explanation:
f) (a + b)^3 - 4(a + b)^2
The (a+ b)^2 can be taken out to give:
= (a + b)^2(a + b - 4)
= (a + b)(a + b)(a + b - 4).
g) 3x(x - y) - 6(-x + y)
= 3x( x - y) + 6(x - y)
= (3x + 6)(x - y)
= 3(x + 2)(x - y).
h) (6a - 5b)(c - d) + (3a + 4b)(d - c)
= (6a - 5b)(c - d) + (-3a - 4b)(c - d)
= -(c - d)(6a - 5b)(3a + 4b).
i) -3d(-9a - 2b) + 2c (9a + 2b)
= 3d(9a + 2b) + 2c (9a + 2b)
= 3d(9a + 2b) + 2c (9a + 2b).
= (3d + 2c)(9a + 2b).
j) a^2b^3(2a + 1) - 6ab^2(-1 - 2a)
= a^2b^3(2a + 1) + 6ab^2(2a + 1)
= (2a + 1)( a^2b^3 + 6ab^2)
The GCF of a^2b^3 and 6ab^2 is ab^2, so we have:
(2a + 1)ab^2(ab + 6)
= ab^2(ab + 6)(2a + 1).
what are possible ratios for 16 to 32
Answer:
1:3
Step-by-step explanation:
To simplify the ratio 16:32, we find the greatest common divisor of 16 and 32, and then we divide 16 and 32 by the greatest common divisor.
The greatest common divisor that you can use to simplify 16:32 is 16. Which means the answer to ratio 16:32 simplified is: 1:2
Hope it helps
Ali box 3 1\4 yards of blue ribbon for a craft project she bought 2 2\3 yards of green ribbon how much ribbon does she have in total to complete her project?
Answer:
5 /12
Step-by-step explanation:
The polynomial f(2) = 2? + 432 - 594 is a parabola. The parabola's x-intercepts are (11, 0) and (-54, 0). Give the factored form of the
polynomial.
725182626282527736282628
There were 3,905 more hits on the school’s website in January than February. February had 9,854 hits. How many hits did the school’s website have during both months? a. About how many hits did the website have during January and February?
Answer:
In Jan - 13,759
In Feb - 9,854
In both - 23,613
Step-by-step explanation:
hope it helps
5
7
2
8
1) what is the area (square units)
(8+ 4)divided by 2 - 3
Answer:
3
Step-by-step explanation:
(8 + 4) / 2 - 3
12 / 2 -3
6 - 3
3
Answer:
3
Step-by-step explanation:
You do the parenthesis first (8+4)
Then you divide 12 by 2 if you are following Pemdas
6 - 3 = 3
Hope this helped!
please help what is #4?
To Prove:-
JK=IJ
JK= ½IK = IJ= ½IK
JK= IJ(Equal Distance)
GK//HI (Parallel)
Therefore, JK congruent IJ
Hope This Helps
can yall help me plzz
Answer:
x = 8
Step-by-step explanation:
To get x on its own we need to divide both sides by 0.6: 4.8 ÷ 0.6 which is 8.Hope this helps!
y=-2x + 7
y = 5х – 7
Find the solution
Answer:
x = 2
Step-by-step explanation:
Given:
y = -2x + 7 y = 5х – 7If y = -2x + 7 and y = 5х – 7, then -2x + 7 = 5х – 7. Now, let's solve.
=> -2x + 7 = 5х – 7
=> 7x = 14
=> x = 2
Since we found 'x', let's find 'y' with the given clue using one equation among any of the two equations.
=> y = 5х – 7
=> y = 5(2) - 7
=> y = 10 - 7
=> y = 3
Hoped this helped.
CAN SOMEONE HELP ME PLEASE ASAP!
Answer:
The correct answer is approximately 20 ft !
Please mark me brainliest if you are able to do it :)
the answer is 20,336 ft
6,200 mm is 6,2 m and you multiply it with 3,28 feet then you get the answer.
Order the numbers 0.64, 2/3, 65%, and 7/10 from least to greatest.
(Please explain how you did it too-)
Answer:
the order is 0.64, 65%, 2/3, and 7/10
Step-by-step explanation:
because 2/3=0.66666, 65%=0.65, 7/10=0.7
Find the y-intercept and then write the linear equation for the line passing
through (-12, 5) with m = -2/3,
Answer:
Y-intercept: -3
Equation: y = -2/3x -3
Step-by-step explanation:
Slope intercept equation: y = mx + b, m is the slope and b is the y-intercept
Substitute m with -2/3, your equation should now be y = -2/3x + b
To find the y-intercept, plug in the point (-12,5) and solve for b.
1. 5 = -2/3(-12) + b
2. 5 = 8 + b
3. b = 8 - 5
4. b = 3
How do you solve (x+4)2 ?
Answer:
Simplify the expression.
x2+8x+16
Step-by-step explanation:
pls help me with this question ...
Here is ur perfect answer
Answer:
x = 207
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
([tex]\sqrt{x}[/tex] )² + 7² = 16²
x + 49 = 256 ( subtract 49 from both sides )
x = 207
In a muncipality ,Two of the most well-known activities for teenagers are biking and motorcycling riding.Out of 100 teenagers,58 in biking,42 like motorcycling and 18 like both
a.create a veen diagram represent the problem
Answer:
See belowStep-by-step explanation:
Given:
Total number is 100Biking = 58Motorcycling = 42Both = 18Biking only:
58 - 18 = 40Motorcycling only:
42 - 18 = 24Neither:
100 - (40 + 18 + 24) = 18Venn diagram consists of:
Biking | Both (Intersection) | Motorcycling | Neither (outside of circles)
40 18 24 18
max has x dollars. Keisha has four more dollars then max
Answer:
4x
Step-by-step explanation:
Simply add 4 and x, and that is 4x.
Dilations map lines to lines.
true or false ?
Answer:
true
Step-by-step explanation:
HURRY for Brainlist
The drama club is printing t-shirts for its 21 members. The printing company charges a certain amount for each shirt plus a setup fee of $40.
Write an equation to represent the total cost for printing the shirts.
Question 1 options:
C = 21 + 40t
C = 21t - 40
C = 21t + 40
C = 21t
What is the constant rate of change for this equation y = 1/9x-20 ?
Answer:
like:-
1/9x20 = 2 2/9
1/9-20 = 19 8/9
Step-by-step explanation:
I'm not sureAnswer: The constant rate change would be [tex]\frac{1}{9}[/tex].
Step-by-step explanation: The general rate of change can be found by using the difference quotient formula. To find the average rate of change over an interval, enter a function with an interval: f (x) = [tex]x^{2}[/tex] , [2,3]
Write y = [tex]\frac{1}{9}[/tex]x - 20 as a function which is f (x) = [tex]\frac{1}{9}[/tex]x - 20
Consider the difference quotient formula which is [tex]\frac{f (x +h) - f (x) }{h}[/tex].
Find the components of the definition. [tex]\frac{f (x+h) = \frac{h}{9} + \frac{x}{9} - 20}[/tex]simplify then it would be [tex]\frac{f (x) = \frac{x}{9} - 20 }[/tex].
Lastly plug in all the components.
[tex]\frac{f (x + h) - f (x)}{h} = \frac{\frac{h}{9} +\frac{x}{9} - 20 - (\frac{x}{9} - 20) }{h}[/tex]
After solving all this the answer would be [tex]\frac{1}{9}[/tex]
stteps for solving 6(4x-3) are shown
which of these is not a part of the solution prosess
Answer:2 4 − 1 8
Step-by-step explanation:
A fourth of the product of 13 and a number M
Answer:
[tex]\frac{13m}{4}[/tex]
Step-by-step explanation:
"the product of 13 and a number M" should be written as 13m.
To get a fourth of the produce we would need to divide it by four.
A fourth of the product of 13 and a number M should be [tex]\frac{13m}{4}[/tex] .
Hope this helps.