5x + 15 = 15 + 5x
5x = 5x
x = x
?
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:
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]
how to solve mix surds 8√2+2√8
Answer:
[tex] { \tt{8 \sqrt{2} + 2 \sqrt{8} }}[/tex]
separate the biggest root ( √8 ):
[tex]{ \tt{ = 8 \sqrt{2} + 2 \sqrt{4 \times 2} }} \\ = { \tt{ 8 \sqrt{2} + (2 \times 2) \sqrt{2} }} \\ = { \tt{8 \sqrt{2} + 4 \sqrt{2} }}[/tex]
factorise √2 out:
[tex] = { \tt{(8 + 4) \sqrt{2} }} \\ \\ = { \bf{12 \sqrt{2} }}[/tex]
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
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.
A box of Lucky Charms costs $3.29 and you have a coupon that will save you 75 cents off 2 containers. What is the final price if you buy 2?
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
Please, can I get help?
Answer:
a- 14,11
b-13,63
Step-by-step explanation:
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
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
help help me please!!
Sebutkan sepuluh bilangan genap?
Answer:
2, 4, 6, 8, 10, 12, 14, 16, 18, 20Step-by-step explanation:
➡️ Pembahasan:
Bilangan Genap adalah bilangan yang dapat di bagi 2.
➡️ Penyelesaian Soal:
10 bilangan genap adalah
2468101214161820[tex]HAVE \: \ \: A \: \: \: \: NICE \: \: \: \: DAY![/tex]
Please help me on this question
Answer:
√20
Or
2√5
Step-by-step explanation:
It is very easy just substitute
It will be:
plzz help 100 points
Part B
What is the measurement of angle G? Part C
Let the variable c represent the measurement of angle C. Use the measurement of angle G to write an equation that you can use to solve for c. Part D
What is the measurement of angle C?
Finishing the angles of the smaller triangle if E is 90 and F is 30 then G needs to be 180-90-30 = 60 degrees.
Angles G and C are supplementary angles which need to equal 180 degrees
Angle c = 180-g = 180-60 = 120
Angle c = 120 degrees.
Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , then Δ EGF
∠ G = 180° - (90 + 30)° = 180° - 120° = 60°
------------------------------------------------------------
c and g are adjacent angles and sum to 180° , then
c + g = 180° , that is
c + 60° = 180° ( subtract 60° from both sides )
c = 120
That is ∠ C = 120°
A shop-keeper wants to charge 1.5 times
as much per toilet roll for offer B than offer A.
What is the price for offer B?
Answer:
ok so the equation would look like this
B=1.5A
so b is 1.5 times more then a
-5+(-4)
Adding and subtracting intergers
Answer:
9
Step-by-step explanation:
Integer
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
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.
1521 milliliters equals to how many liters??
Answer:
It is 1.521 Liters
Step-by-step explanation:
Find the coordinates of the points on the graph of y= 3x - 16
Answer:0,-16; 1, -13; 2, -10; 3,-7; 4, -4; 5,-1; 6,2; 7,5
Step-by-step explanation:
At Factory Y, a worker's wages for a 40-hour week is $200. She is paid 10% of her regular weekly wages for every hour that she works overtime. At the end of a certain week she received $380. Calculate the number of hours of overtime that she worked.
Answer:
She worked 18 hours of overtime.
Step-by-step explanation:
If she works 40 hours per week and gets $200, subtract $380 - $200 = $180.
If you multiply $180 by 0.1 (which is 10% converted to a decimal), you get 18 which is your final answer.
A small pebble is stuck in Jim's bike tire. The wheel has a radius of 34 cm. Determine the equation of the function that expresses the height of the pebble from the ground in terms of the distance that the bike travels from the point where the pebble got stuck in the tire. How high off the ground will the pebble be after the tire has rolled 150 cm?
Answer:
distance = 68 pie x
Step-by-step explanation:
Hope this helps
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
Helpppppppppp what’s the angleeeee plz tell me tytytytyytyttytytyt
Answer:
101°
Step-by-step explanation:
what two numbers add up to 55 and multiply to -375
Answer:
-6.13406 and 61.13406
Step-by-step explanation:
x + y = 55
x × y = -375
y = 55 - x
x × (55 - x) = -375
55x -x² = -375
x² - 55x - 375 = 0
solution of a quadratic equation :
x = (-b ± sqrt(b² - 4ac))/(2a)
a=1
b=-55
c=-375
x = (55 ± sqrt(55² + 4×375))/2 = (55 ± sqrt(4525))/2 =
= (55 ± sqrt(25 × 181))/2 = (5×11 ± 5×sqrt(181))/2 =
= 5/2 × (11 ± sqrt(181)) =
= 61.13406... or -6.13406...
y = 55 - 5/2×(11 ± sqrt(181)) = 55/2 ± 5/2×sqrt(181) =
= -6.13406... or 61.13406...
The discount on a toy is 40% the toy robot is on sale for $54 find the original price
Answer:
The original price is $90.
Step-by-step explanation:
100% - 40% = 60%
[tex]\frac{54}{y} :\frac{60}{100}[/tex]
y × 60 = 54 × 100
60y = 5400
60y ÷ 60 = 5400 ÷ 60
y = 90
Answer:
90
Step-by-step explanation:
If the discount is 40%, we are still paying 100-40% or 60 %
original price * 60% = sale price
original price * .6 = 54
Divide each side by .6
original price = 54/.6
original price =90
The box part of the box plot contains all the values between which numbers?
25
30
35
40
45
50
between 27 and 36 and between 37 and 40
between 32 and 36
оооо
between 32 and 37
O between 27 and 32 and between 37 and 40
Answer:
Between 32 and 37
Step-by-step explanation:
Here, we simply want to get the data portion represented by the box alone
we can see that the box starts from 32
It ends at the number 37
Note;
between each individual number on the plot, we have 5 small lines indicating an extra point
Algebra 2 Problem! Rational Roots
Answer:
este no hablo inglés
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
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:
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!