Answer:
Common difference (d) = -5
Step-by-step explanation:
formula=>
an = a + (n-1)d
=> -8 = 7 + (4-1)d
=> -15 = 3d
=> 3d = -15
=> d = -15/3
=> d = -5
The present ages of hero and hero in the ratio 3 is to 4 5 years from now their ratio of their ages will be 4 is 25 find the present ages
Answer:
Presently; Veeru is 15 and Neeru is 20
Step-by-step explanation:
Given
See comment for proper format of question
Let their present ages be x and y
So:
[tex]x : y = 3 : 4[/tex]
5 years time, the ratio will be:
[tex]x + 5: y + 5= 4 : 5[/tex]
Required
Their present ages
Express both ratios as fractions
[tex]x : y = 3 : 4[/tex] becomes
[tex]\frac{x}{y} = \frac{3}{4}[/tex]
and
[tex]x + 5: y + 5= 4 : 5[/tex] becomes
[tex]\frac{x+5}{y+5} = \frac{4}{5}[/tex]
Make x the subject in: [tex]\frac{x}{y} = \frac{3}{4}[/tex]
[tex]x = \frac{3}{4}y[/tex]
[tex]x = 0.75y[/tex]
Cross multiply in [tex]\frac{x+5}{y+5} = \frac{4}{5}[/tex]
[tex]5(x + 5) = 4(y + 5)[/tex]
Substitute [tex]x = 0.75y[/tex]
[tex]5(0.75y + 5) = 4(y + 5)[/tex]
Open brackets
[tex]3.75y + 25 = 4y + 20[/tex]
Collect like terms
[tex]3.75y -4y = -25 + 20[/tex]
[tex]-0.25y = -5[/tex]
Divide by -0.25
[tex]y = 20[/tex]
Substitute [tex]y = 20[/tex] in [tex]x = 0.75y[/tex]
[tex]x = 0.75 * 20[/tex]
[tex]x = 15[/tex]
Use the tax table to help answer the following question.
A 9-column table with 7 rows is shown. Column 1 is labeled If the wages are at least with entries 720, 740, 760, 780, 800, 820, 840. Column 2 is labeled But less than with entries 740, 760, 780, 800, 820, 840, 860. Column 3 is labeled And the number of withholding allowances is 0, the amount of income tax withheld is, with entries 80, 83, 86, 89, 92, 95, 98. Column 4 is labeled And the number of withholding allowances is 1, the amount of income tax withheld is, with entries 62, 65, 68, 71, 74, 77, 80. Column 5 is labeled And the number of withholding allowances is 2, the amount of income tax withheld is, with entries 44, 47, 50, 53, 56, 59, 62. Column 6 is labeled And the number of withholding allowances is 3, the amount of income tax withheld is, with entries 26, 28, 31, 34, 37, 40, 43. Column 7 is labeled And the number of withholding allowances is 4, the amount of income tax withheld is, with entries 14, 16, 18, 20, 22, 24, 26. Column 8 is labeled And the number of withholding allowances is 5, the amount of income tax withheld is, with entries 1, 3, 5, 7, 9, 11, 13. Column 9 is labeled And the number of withholding allowances is 6, the amount of income tax withheld is, with entries 0, 0, 0, 0, 0, 0, 1.
Luce is single and making $763 biweekly. She claims no federal withholding allowances. If the state tax is 19% of the federal tax, how much in state tax does Luce contribute? a.
$12.92
b.
$15.13
c.
$15.77
d.
$16.34
Answer: d. $16.34
Step-by-step explanation:
The table shows that if the wages are between 760 and 780 and there are no withholding allowances, the federal tax is $86.
Luce therefore has a federal tax of $86 as she falls in the bracket described.
If state tax is 19% of this, state tax is:
= 19% * 86
= $16.34
The amount of state tax which is contributed by the Luce for the no federal withholding allowances is $16.34.
What is federal income tax?Federal income tax is the tax which is used to develop and run the city or country and charged on the citizen residing there .
A 9-column table with 7 rows is given in the prooblem.
Luce is single and making $763 biweekly. She claims no federal withholding allowances.
This amount is come between the values of $760 and $780. If we look into the table provided into the problem, the federal tax for this slab is $86.
Now the state tax is 19% of the federal tax. Thus, the 19 percent of the federal tax $86 is,
[tex]\rm tax=86\times\dfrac{19}{100}\\tax=16.34[/tex]
Thus the amount of state tax which is contributed by the Luce for the no federal withholding allowances is $16.34.
Learn more about the federal income tax here;
https://brainly.com/question/25504589
Part A: The area of a square is (9x2 − 12x + 4) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)
Part B: The area of a rectangle is (25x2 − 16y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Answer:
A. (3x-2)^2
B. 5x-4y
5x=4y
Step-by-step explanation:
Toula has just baked a cake in the shape of a rectangle. She
wants to divide the cake into two right-angled triangles by
cutting along a diagonal of the cake. Toula is then going to place
a cake ribbon around the outside of each of the two triangular
pieces of cake. If the length of the cake is 32 cm and its width is
24 cm, how much cake ribbon will she need to buy, giving your
answer to an appropriate accuracy.
Answer:
192 cm
Step-by-step explanation:
length of the ribbon needed = perimeter of right angled triangle x 2
to determine perimeter, the value of the hypotenuse needs to be known
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
32² + 24²
= 1024 + 576
= 1600
square root = 40
length of rope = 2 x (40 + 32 + 24) = 192
The Marked price of a jacket at a dealer's shop is 2400. The dealer allows a discount of 15% to the retailer. As the company's policies the marked price of the retailer should be the same as the dealer's marked price. What SP should the retailer fix for the jacket? What would its final price be if 10% VAT is imposed? What would be the actual gain of retailer?
Ans
2280,2502,240
Answer:
2400
2640
360
Step-by-step explanation:
I am not sure the description is totally clear.
my assumptions are (based on my interpretations of the text) :
the retailer buys from the dealer with 15% discount.
but the retailer has to sell the jacket for the same price as the dealer.
so, both mark the sale price as 2400.
if the customer buys from the retailer, the retailer makes 15% profit (the discount he got from the dealer).
15% = 2400 × 15/100 = 24 × 15 = 360
the retailer makes this profit no matter what other fees or taxes are added.
if the customer buys from the dealer, the dealer makes these 15% and some more (we don't know how much) profit.
now, the final price is to include also 10% VAT
100% = 2400
1% = 2400 / 100 = 24
10% = 24 × 10 = 240
so,
final price = SP + VAT = 2400 + 240 = 2640
what is the domain of the function represented by the graph
Answer:
Domain: all real numbers
Step-by-step explanation:
The domain is the values that x can take
X can be any real number
Domain: all real numbers
i used to describe a food item having a spicy or salty quality without being sweet?
Answer:
UMAMI I think may be the answer to your question
When dragons on planet Pern lay eggs, the eggs are either green or yellow. The biologists have observed over the years that 39% of the eggs are yellow, and the rest green. Next spring the lead scientist has permission to randomly select 66 of the dragon eggs to incubate. Consider all the possible samples of 66 dragon eggs. What is the usual number of yellow eggs in samples of 66 eggs
Answer: The usual number of yellow eggs in the selected sample is 26.
Step-by-step explanation:
It is given that there are 2 types of dragon eggs: Yellow and green
Observation says that 39% of the eggs are yellow.
When selected at random for incubation:
Number of eggs selected are = 66
To evaluate the number of yellow eggs, we must calculate 39% of 66 eggs
[tex]\Rightarrow \frac{39}{100}\times 66\\\\\Rightarrow 25.74\approx 26[/tex]
Hence, the usual number of yellow eggs in the selected sample is 26.
Someone help me with this please!
Answer: y=40
Step-by-step explanation: 70-30=40
please help :DDDDDDD
Answer:
B 5/6 * -11/-7
Step-by-step explanation:
-5 / -7 = 5/7
-11/-6 = 11/6
Multiply
5/7 * 11/6
Rewriting
5/6 * 11/7
We can make the 11 and the 7 negative (-11/ -7 = 11/7)
5/6 * -11/-7
Which expression can be used to convert 100 USD to Japanese?
Answer:The expression that can be used to convert 100 USD to Japanese Yen is 100 USD = 100/Y Japanese Yen.
Step-by-step explanation:
Name the marked angle in 2 different ways.
Answer:
∠GIH or ∠HIG
Explanation:
Just make sure the vertex of the angle is the middle letter. In this case, it is I.
graph y = |x| -1
graph 1- looks like an arrow pointing down (only in top quadrants)
graph 2- like an inverted checkmark (bottom point in top right quadrant)
graph 3- looks like an arrow pointing down (in all quadrants)
Answer:
It should look roughly like this
James inherited 19.5hectares of land from his father. The area of the land he inherited is 65% of the total land his father owned. Calculate the total area of the land that his father owned
Answer:
30 hectares
Step-by-step explanation:
Answer:
Step-by-step explanation:
Land area James inherited = 19.5 hectares
The area of the land he inherited is 65% of the total land his father owned.
Let
x = Total land his father owned
Land area James inherited = 65% of the total land his father owned
19.5 = 65% of x
19.5 = 65/100 * x
19.5 = 0.65 * x
19.5 = 0.65x
x = 19.5 / 0.65
x = 30
x = Total land his father owned = 30 hectares
find the value of x. round to the nearest tenth.
Answer:
x = 26.4
Step-by-step explanation:
Hi there!
What we need to know:
Basic trigonomic ratios (θ is the reference angle):
Sine θ = opposite / hypotenuseCosine θ = adjacent / hypotenuseTangent θ = opposite / adjacentGiven the diagram, we can see that the reference angle is x. We are also given the hypotenuse (9) and the opposite side length (4). With the opposite and the hypotenuse, we know that we need to use the sine ratio:
sin(x) = 4/9
To solve for an angle given the side lengths, we use the inverse functions:
x = sin^-1 (4/9)
x = 26.4
I hope this helps!
A simple way to describe a Coefficient?
Answer:
A number used to multiply a variable. Example: 6z means 6 times z, and "z" is a variable, so 6 is a coefficient. Variables with no number have a coefficient of 1.
Step-by-step explanation:
Hope it helps
Answer:
A number placed before and multiplying the variable in an algebraic expression (e.g. [tex]4[/tex] in [tex]4x[/tex]).
Step-by-step explanation:
Hope this is helpful.
If you place a 20 ft ladder 4ft from the base of the wall. How high up will it reach? Round answer to the nearest tenth
Answer:
h = 19.6 ft
Step-by-step explanation:
Given that,
A 20 ft ladder 4ft from the base of the wall.
The height of the ladder, H = 20 ft
The base distance, b = 4 ft
We need to find the height of the reach. Let it is P.
Using Pythagoras theorem,
[tex]H^2=b^2+P^2\\\\P=\sqrt{H^2-b^2}\\\\P=\sqrt{20^2-4^2}\\\\=19.59\ ft[/tex]
or
P = 19.6 ft
So, the height is 19.6 ft.
What is the answer for this
Answer:
A
Step-by-step explanation:
The green is the starting place, when you move from a point on the green triangle to the blue one, you go 5 to the left and 3 down.
1521 milliliters equals to how many liters??
Answer:
It is 1.521 Liters
Step-by-step explanation:
Escribe un número de tres cifras digamos a1b1c1, en el cual a1 sea distinto de c1; ahora invierte los dígitos a1 y c1, (obtendrás el número c1b1a1 ); resta el número menor al número mayor, es decir a1b1c1 - c1b1a1 o bien c1b1a1 - a1b1c1, obtendrás como resultado un número de tres cifras, digamos a2b2c2 (es posible que a_2=0 ); invierte los dígitos a_2 y c_2. Finalmente suma los números a2b2c2 y c2b2a2 . ¿Qué número obtuviste?
Answer:
El número obtenido es:
1089.Step-by-step explanation:
Vamos a escoger tres números sencillos para cada variable como:
a1 = 1b1 = 2c1 = 3Por lo tanto, nuestro número de tres cifras es:
123 (la única pauta es que a1 sea diferente a c1 y con este número la cumplimos)Ahora, nos dice que invirtamos los números a1 y c1, por lo tanto, nuestro nuevo número de tres cifras sería:
321A continuación, nos menciona que restemos el menor del mayor, en este caso, nuestro número menor es 123 y el mayor es 321, por lo tanto:
321 - 123 = 198 (Este resultado será el mismo sin importar cuáles números elijas para el ejercicio)Como obtuvimos el número 198, se podría decir que:
a2 = 1b2 = 9c2 = 8Ahora nos piden que invirtamos a2 y c2, por lo tanto nuestro nuevo número sería:
891Y por último, nos solicita que sumemos los dos últimos números obtenidos, entonces tenemos:
891 + 198 = 1089Por lo tanto, el número obtenido al final es 1089, el cual obtendrás sin importar qué número de tres cifras elijas al inicio, siempre y cuando no se repitan el primero y el tercer dígito.
The original price of a computer was reduced by 225 dollars. The new discounter price is 1274 dollars.
Answer:
1499
Step-by-step explanation:
Given that :
New discounted price = 1274
Let original price = p
Reduction in original price = 225
Original price is the sum of the reduction and the new discounted price
The Original price = Reduction in original price + new discounted price
P = 225 + 1274
P = 1499
Please, can I get help?
Answer:
a- 14,11
b-13,63
Step-by-step explanation:
-5+(-4)
Adding and subtracting intergers
Answer:
9
Step-by-step explanation:
Integer
Hello! I am simply looking for help, no this is not a test. Once again I am just looking for hints/help.
Answer:
No problem, here is a tip
Step-by-step explanation:
take each whole number then multiply it by the percent in decimal form. So if its 90% of 136 you do 136 * 0.9
express the ratio below in its simplest form 4 : 2 : 2
simplest form 4 : 2 : 2 is 2:1:1
Please help me on this question
Answer:
√20
Or
2√5
Step-by-step explanation:
It is very easy just substitute
It will be:
The sum of three consecutive even numbers is 24 , find the numbers.
Answer:
three consecutive even integers whose sum is 24 are 6, 8 and 10.
Divide the total by amount of numbers. This will be the middle value:
24/3 = 8
The numbers are consecutive even numbers so use the even number below and above 8, which are 6 and 10.
6 + 8 + 10 = 24
The 3 consecutive even numbers are 6, 8 and 10
Determine the number of solutions for the linear system that models this problem:
Two people are playing a game. The difference in their points is 57. When the number of points each
player has is doubled, the difference is 114. How many points does each person have?
Select one:
a. no solution
b. two solutions
c. one solution
d. infinite solutions
Answer:
it's got unlimited solutions
Step-by-step explanation:
The base of a triangle is 20m and its area is 250m.What is the height of the triangle
Answer:
the height of the triangle is 25
Answer:
height = 25 m
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here A = 250 and b = 20 , then
[tex]\frac{1}{2}[/tex] × 20 × h = 250 , that is
10h = 250 ( divide both sides by 10 )
h = 25 m
Mrs. Johnson has 159 chickens that she puts in shelters at night to keep safe. She places 12 chickens in a shelter and continues putting this number of chickens in each shelter until she comes to the last one. How many chickens will Mrs. Johnson put in the last shelter?
Answer:
3 chickens will Mrs. Johnson put in the last shelter
Step-by-step explanation:
According to the question,
Given,Mrs. Johnson has 159 chickens that she puts in shelters at night to keep safe. She places 12 chickens in a shelter .
thus,If she put 12 chickens in each 13 shelters ( 12×13=156 chickens) adjusted in shelters .
Then, the remaining 159-156 = 3 chicken will Mrs. Johnson put in the last shelter .
