Given that x : 3 : 9/2 = 15/4 : 4 1/2 : y, find the value of x and y.

Answers

Answer 1

Answer:

x = [tex]\frac{5}{2}[/tex] , y = [tex]\frac{27}{4}[/tex]

Step-by-step explanation:

Equate the first 2 parts of the ratios on both sides of the equation and solve for x.

Expressing the ratios in fractional form, then

[tex]\frac{x}{3}[/tex] = [tex]\frac{\frac{15}{4} }{\frac{9}{2} }[/tex] = [tex]\frac{15}{4}[/tex] × [tex]\frac{2}{9}[/tex] = [tex]\frac{5}{6}[/tex] ( cross- multiply )

6x = 15 ( divide both sides by 6 )

x = [tex]\frac{15}{6}[/tex] = [tex]\frac{5}{2}[/tex]

-----------------------------------------------------------------------------------

Equate the last 2 parts of the ratios on both sides and solve for y

[tex]\frac{\frac{9}{2} }{y}[/tex] = [tex]\frac{3}{\frac{9}{2} }[/tex] = 3 × [tex]\frac{2}{9}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )

2y = [tex]\frac{9}{2}[/tex] × 3 = [tex]\frac{27}{2}[/tex] ( divide both sides by 2 )

y = [tex]\frac{27}{4}[/tex]


Related Questions

Find the angle between the hands of a clock at 5:15

Answers

Answer:

67.5

Step-by-step explanation:

Answer:

the hour hand and minute hand on a 12-hour clock at 5:15. Again, the two angles created by the hour hand and minute hand at five-fifteen are 292.5 degrees and 67.5 degrees.

Step-by-step explanation:

The value of -9(square root) is not-3 because
O A. (3)2 = -9
O B. (-9)2 = -3
O c. 329
D. 92 + -3

Answers

Answer:

A)  [tex](-3)^{2} \neq -9[/tex]

Step-by-step explanation:

Answer:

A) is correct

Step-by-step explanation:

(-3)**2 = 9,  not equal -9

The issue is negative numbers can only be imaginary numbers. The sq root of -9 would be 3i, where i is defined as the sq root of -1.

What is the solution to this system of equations?
x = 12 − y
2x + 3y = 29

Answers

Let’s arrange the fist equation
x+y=12
2x+3y=29

Multiply equation 1 by 2
So it will be

2x+2y=24

Subtract eq 1 from eq 2

2x+3y=29
2x+2y=24
—————-
Y =5

Put value of y in eq 1

2x+2y=24
2x +10= 24
2x= 24-10
2x= 14
x=14/2
x=7

S.S= (7,5)

Explanation: I would use the substitution method for this system

because one of the variables, x, is already isolated in the first equation.

Since our first equation states that x = 12 - y, 12 - y can be substituted

in for x in the second equation which becomes 2(12 - y) + 3y = 29.

Now we can solve this equation by first distributing the 2

through the parentheses to get 24 - 2y + 3y = 29 and you

should be able to easily finish solving from here to get y = 5.

Now substitute a 5 back in for the first equation to get

x = 12 - (5) or x = 7 which means that our solution is (7, 5).

I neeeddddd helppppp it’s urgenttttttt!!!!!!!!

Answers

Answer:

x=7

Step-by-step explanation:

The sum of the arc of a circle is 360 degrees

85+5x+5+10x+5+-7+6x+6+17x = 360

Combine like terms

38x+94=360

Subtract 94 from each side

38x+94-94 = 360-94

38x = 266

Divide each side by 38

38x/28 = 266/38

x = 7

The answer to this question is x=7

Instructions: Find the measure of the indicated angle to the nearest
degree.
19
?
8
=

Answers

Answer:

? ≈ 65°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos? = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{8}{19}[/tex] , then

? = [tex]cos^{-1}[/tex] ([tex]\frac{8}{19}[/tex] ) ≈ 65° ( to the nearest degree )

A group of students is arranging squares into layers to create a project. The first layer has 5 squares. The second layer has 10 squares. Which formula represents an arithmetic explicit formula to determine the number of squares in each layer ?

Answers

Answer: Its B i just took the test

Step-by-step explanation:

The base of a triangular prism has an area of 35 m2. This triangular prism has a height of 7 m. What is the volume of this triangular prism? ​

Answers

Answer:

The volume is 245 m^2

Step-by-step explanation:

the volume formula is aways base time height, or V = bh

so plot the number in, 35 x 7 = 245

Instructions: Find the missing side of the triangle.
24 and 7

Answers

We can use the Pythagorean theorem to solve this. The Pythagorean theorem is a^2 + b^2 = c^2. We already have a and b, we need to find c. 24^2 + 7^2 is 625. Then, we need to find the square root of 625 to find c. The answer is 25. x = 25.

If 24 and 7 are the lengths of the legs of the right triangle, the missing side, which is the hypotenuse, has a length of 25.

To find the missing side of the triangle, we need more information about the triangle. Specifically, we need to know which side is missing: the hypotenuse (longest side) or one of the legs.

If 24 and 7 are the lengths of the legs of a right triangle, we can use the Pythagorean theorem to find the length of the hypotenuse.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.

Let's label the hypotenuse as 'c' and the legs as 'a' and 'b'.

Using the Pythagorean theorem:

[tex]c^2 = a^2 + b^2[/tex]

Substituting the given values:

[tex]c^2 = 24^2 + 7^2\\c^2 = 576 + 49\\c^2 = 625[/tex]

Taking the square root of both sides:

c = √625

c = 25

Therefore, if 24 and 7 are the lengths of the legs of the right triangle, the missing side, which is the hypotenuse, has a length of 25.

To know more about  lengths , here

https://brainly.com/question/28322552

#SPJ2

Marcus has $7000 to invest in a savings account for 3 years. The bank offers two investment options. Option A pays 5 % simple interest per year and Option B pays 4% compound interest per year. (a) How much interest would Marcus earn after 3 years with Option A?

Answers

Answer:

$ 630

Step-by-step explanation:

One is given the following information:

$7000 was invested in a savings accountOption A: 3% simple interest annuallyOption B: 4% interest compounded annually

The problem asks one to find out the amount of interest earned after 3 years of going with option A. The easiest way to do such is to form an equation. The general equation for simple interest is the following:

A * 0.01P(d) = I

Where the parameters indicate the following values,

A = amount invested

P = interest rate

d = time invested (years)

I = amount earned in the form of interest

Substitute the given values into the formula, then simplify to evaluate,

A * 0.01P(d) = I

7000 * 0.01(3)(3) = I

7000 * 0.01(9) = I

7000 * 0.09 = I

630 = I

v2 = u? + 2as
u = 12
a = -3
S =
= 18
(a) Work out a value of v.

Answers

Answer:

6√7 m/s

Step-by-step explanation:

Given,

u = 12

a = - 3

s = 18

v^2 = u^2 - 2as

= 12^2 - 2 ( - 3 ) ( 18 )

= 144 + 108

v^2 = 252

v = √252

v = 6√7 m/s

Step-by-step explanation:

hope it helps you...:)....

GEOEMTRY- PLEASE HELP , solve for x

Answers

Answer:

[tex]17x-23=1/2\times81[/tex]

[tex]17x-23=40.5[/tex]

[tex]17x=40.5+23[/tex]

[tex]17x=63.5[/tex]

[tex]x=63.5/17[/tex]

[tex]x=3.73[/tex]

OAmalOHopeO

{24a - 18b} =24a−18b I neeed help

Answers

0

(24a - 18b) = 24a - 18b

24a - 18b = 24a - 18b

collect like terms

24a - 24a = -18b + 18b

0 = 0

PLEASE HELP WITH BOTH SEPRATE QUESTIONS


1 Your mom asks you to take the family car to the gas station and put no more than 8 gallons of gas in it. Write an inequality for this scenario.


2Translate this statement into an inequality.


A number less than 5 is greater than 7

Answers

Answer:

(1) question no.1

x<=8

(2) question no.2

5<x<7

Answer:

1. 8≥g

2. A-5≥7

Step-by-step explanation:

x3 + (y +z) factorize​

Answers

I think you wrote the question wrong this question is not factorable

REPLY ASAP PLEASE!!!

Answers

Answer:

The answer is c.

Step-by-step explanation:

Helpppp pleaseeee !!!!!!

Answers

Answer:

149 inches squared

Step-by-step explanation:

top rectangle: 25 * 7 = 175

second rectangle: 8 * (25 - 17) = 8^2 = 64

triangle in bottom right: 1/2 * (13 - 8) * (15 - 11) = 10

175 + 64 + 10 = 149 sq in

hopefully got this right!

Sin theta = 9/15. Find tan theta. A. 15/12. B. 9/12 C. 12/15 D. 12/9

Answers

Answer:

B

Step-by-step explanation:

[tex]Sin \ theta = \frac{9}{15}=\frac{Opposite \ side}{hypotenuse}\\[/tex]

Pythagorean theorem,

Adjacent side ² = hypotenuse² - opposite side²

                         = 15² - 9²

                          = 225 - 81

                          = 144

Adjacent side = √144 = √(12*12) = 12

[tex]Tan \ theta = \frac{opposite \ side}{adjacent \ side}= \frac{9}{12}[/tex]

I) 54,2 X 94= ?

J) 36,39 X 28= ?

K) 43,73 X 74,4= ?


(por favor conta armada)

Answers

Answer:

I) 54.2 X 94 = 5094.8

J) 36.39 X 28 = 1018.92

K) 43.73 X 74.4 = 3253.512

I think the answer is B

Number 14 please and thank you so much

Answers

Answer:

0.13

Step-by-step explanation:

N(s)=310+276+155+445

=1186

P=155:1186

=0.13

Which of the following is a geometric sequence?

Answers

ES EL PUNTO A.  RPBHCGNDGE

solve this questions​

Answers

Answer:

a) Sale Price; Rs. 800        Discount rate: 20%

b) Sale Price; Rs. 4000     Discount rate: 20%

c) Sale Price; Rs. 6000     Discount rate: 35%

Step-by-step explanation:

1. Approach

In these problems, one is given a list of original prices and the amount of price taken off during a discount. One has to find the sale price and the rate of discount. The easiest way to find the sale price is to subtract the discount price from the original price. The general train of thought to do this can be found in the following formula:

[tex](original\ price)-(discount\ amount)=(sale\ price)[/tex]

One is also asked to find the rate of discount. Use the following proportion format to do so:

[tex]\frac{discount\ amount}{original\ price}=\frac{percent}{100}[/tex]

Substitute each of the values in the given problem into the equation and solve for the price.

2. Part A

Original price: 1000

Discount: 200

1. Sale price

Formula[tex](original\ price)-(discount\ amount)=(sale\ price)[/tex]Substitute and solve,[tex]1000-200=(sale\ price)[/tex][tex]\\800 = sale\ price[/tex]

2. Discount rate

Formula[tex]\frac{discount\ amount}{original\ price}=\frac{percent}{100}[/tex]Substitute, simplify, and solve[tex]\frac{200}{1000}=\frac{percent}{100}[/tex][tex]\frac{1}{5}=\frac{percent}{100}[/tex][tex](5)(percent)=1(100)[/tex][tex]percent=20[/tex]

3. Part B

Original price: 5000

Discount: 1000

1. Sale price

Formula,[tex](original\ price)-(discount\ amount)=(sale\ price)[/tex]Substitute and solve[tex]5000-1000=(sale\ price)[/tex][tex]4000=(sale\ price)[/tex]

2. Discount rate

Formula[tex]\frac{discount\ amount}{original\ price}=\frac{percent}{100}[/tex]Substitute, simplify, and solve[tex]\frac{1000}{5000}=\frac{percent}{100}[/tex][tex]\frac{1}{5}=\frac{percent}{100}[/tex][tex]5(percent)=1(100)[/tex][tex]percent=20[/tex]

4. Part C

Original price: 8000

Discount: 2000

1. Sale price

Formula[tex](original\ price)-(discount\ amount)=(sale\ price)[/tex]Substitute and solve[tex]8000-2000=(sale\ price)[/tex][tex]6000=(sale\ price)[/tex]

2. Discount rate

Formula,[tex]\frac{discount}{amount}=\frac{percent}{100}[/tex]Substitute, simplify and solve,[tex]\frac{2000}{8000}=\frac{percent}{100}[/tex][tex]\frac{1}{4}=\frac{percent}{100}[/tex][tex]4(percent)=1(100)[/tex][tex]percent=25[/tex]

find the equation of the line passing through (-4,1) and perpendicular to the line y=x/4+2​

Answers

Answer:

y = -4x

Step-by-step explanation:

First, for an equation of form y=mx+b, m represents the slope. Therefore, for y=x/4+2 = (1/4)*x + 2, 1/4 is the slope. For perpendicular lines, the negative reciprocal of the slope is the slope of the line perpendicular to it. Therefore, the slope of our line is the negative reciprocal of 1/4.

To find the reciprocal of something, we can just divide 1 by it (another way to do this would be to flip the numerator and denominator, so 1/4 turns into 4/1). Therefore, 1/(1/4) = (1/1)/(1/4) = (1/1) * (4/1) = 4. The negative reciprocal is thus -4.

Our equation is therefore of form y = (-4) x + b. To solve for b, we can plug in the point given and solve for b in our equation. We have

-4 = (-4) * 1 + b

-4 = -4 + b

add 4 to both sides to isolate the b

0 = b

Therefore, our equation is

y= (-4)x + 0

y = -4x

yes jcuctxujensh ysywhxnchuencjcjd

james cuts his 2 of his neighbor's lawn the first is 1000 m long and 100 m wide what is the area

Answers

Answer:

100,000m^2

Step-by-step explanation:

The area formula is length multiplied by width:

A=l x w

Substitute in the values for length and width

A= 1000 x 100

Solve for A

A= 100,000m^2

Answer: 100,000 m² or 1 × 10⁵ m²

Step-by-step explanation:

Concept:

Here, we need to know how to calculate the area of a rectangle.

Area = w · l

w = width

l = length

Solve:

Width = 100 m

Length = 1000 m

Area = w · l

Area = (100) (1000)

Area = 100,000 m²

Hope this helps!! :)

Please let me know if you have any questions

what is bigger 35% or 2/5

Answers

Answer:

35% = .35

2/5 = 4/10 = .4

.4 >.35

Step-by-step explanation:

What is the domain of the function RX) = x2 + 3x + 5?
OA
all whole numbers
OB. all positive real numbers
Ос.
all Integers
OD. all real numbers

Answers

Answer:

all real numbers

Step-by-step explanation:

The domain is the numbers that the input, x, can take

We can put in any real number for x since there are no restrictions on the input

Answer:

option D is domain

Step-by-step explanation:

because no change is happen in range by keeping any real number

Find the value of x. Round to the nearest tenth.

Answers

Answer:

x=400 m is the correct answer

the Marked price of a book is rupees 160 if it is sold at 15% discount find the discount amount and selling price​

Answers

answer is 15%

Step-by-step explanation:

cost prices of book =160

selling prices of book =136

now,rate of discount =loss% (as discount only leads to some kind of loss)

so CP>SP

so loss=CP-SP =160-136=24

loss%= (loss/CP)÷100

=(24/160)÷100

=15%

so rate of discount =15%

Which equation is equivalent to

= 27x+2?
3*-3-3x+2
3* - 33x+6
3-*- 33x+2
3-* - 33x+6

Answers

Answer:

D

Step-by-step explanation:

(1/3)^x=27^(x+2)

3^(-x)=3^(3(x+2))

3^(-x)=3^(3x+6)

determine the dimension of cube when the volume is 1.468mcube​

Answers

Answer:

1.137 m

Step-by-step explanation:

The volume of a cube is given as the cube of the side. A cube is a 3 dimensional shape with equal sides and 6 faces. If the volume is V and the side is s then

V = s * s * s

Given that the volume is 1.468mcube​ then

s^3 = 1.468

s = cube root of 1.468

= 1.137 m

I rlly need help like pleasee

The parallelogram in Quadrant III is the image of the parallelogram in Quadrant II after a counterclockwise rotation about the origin. What is the angle of rotation?

A.) 90 B.) 180 C.) 270 D.) 360​

Answers

Answer:

A. 90

Step-by-step explanation:

Correct on EDGE

Answer:

maybe 90

Step-by-step explanation:

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