27x + 24y= 4.5

1.5x + y =0.225

Answers

Answer 1

Answer:

x = 0.1, y = 0.075

Step-by-step explanation:

Given the 2 equations

27x + 24y = 4.5 → (1)

1.5x + y = 0.225 → (2)

Multiplying (2) by - 24 and adding to (1) will eliminate the y- term

- 36x - 24y = - 5.4 → (3)

Add (1) and (3) term by term to eliminate y

- 9x = - 0.9 ( divide both sides by - 9 )

x = 0.1

Substitute x = 0.1 into either of the 2 equations and solve for y

Substituting into (2)

1.5(0.1) + y = 0.225

0.15 + y = 0.225 ( subtract 0.15 from both sides )

y = 0.075

Answer 2

Answer:

the values for x AND y are 0.1 and 0.075 respectively

27x + 24y= 4.5 1.5x + Y =0.225

Related Questions

find the measure of the indicated angle to the nearest degree​

Answers

[tex]\boxed{\sf sin\Theta=\dfrac{P}{H}}[/tex]

[tex]\\ \sf\longmapsto sin\theta=\dfrac{4}{16}[/tex]

[tex]\\ \sf\longmapsto sin\theta=\dfrac{1}{4}[/tex]

[tex]\\ \sf\longmapsto sin\theta=\dfrac{sin30}{2}[/tex]

[tex]\\ \sf\longmapsto sin\theta=sin15[/tex]

[tex]\\ \sf\longmapsto \theta=15°[/tex]


If a cylindrical vessel is 12 cm long and its surface area is 540 cm2, set up an
equation to find its radius.

Answers

Answer:

Option (1)

Step-by-step explanation:

Surface area of a cylindrical vessel is given by the expression,

Surface area = [tex]2\pi r^{2}+2\pi rh[/tex]

                     = [tex]2\pi r(r+h)[/tex]

Here, r = Radius of the vessel

h = Length of the vessel

By substituting the values of 'h' and surface area in the expression,

2πr(12 + h) = 540

Therefore, Option (1) will be the correct option.

Find the area of a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm.

Answers

Answer:

[tex]6+2\sqrt{21}\:\mathrm{cm^2}\approx 15.17\:\mathrm{cm^2}[/tex]

Step-by-step explanation:

The quadrilateral ABCD consists of two triangles. By adding the area of the two triangles, we get the area of the entire quadrilateral.

Vertices A, B, and C form a right triangle with legs [tex]AB=3[/tex], [tex]BC=4[/tex], and [tex]AC=5[/tex]. The two legs, 3 and 4, represent the triangle's height and base, respectively.

The area of a triangle with base [tex]b[/tex] and height [tex]h[/tex] is given by [tex]A=\frac{1}{2}bh[/tex]. Therefore, the area of this right triangle is:

[tex]A=\frac{1}{2}\cdot 3\cdot 4=\frac{1}{2}\cdot 12=6\:\mathrm{cm^2}[/tex]

The other triangle is a bit trickier. Triangle [tex]\triangle ADC[/tex] is an isosceles triangles with sides 5, 5, and 4. To find its area, we can use Heron's Formula, given by:

[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex], where [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are three sides of the triangle and [tex]s[/tex] is the semi-perimeter ([tex]s=\frac{a+b+c}{2}[/tex]).

The semi-perimeter, [tex]s[/tex], is:

[tex]s=\frac{5+5+4}{2}=\frac{14}{2}=7[/tex]

Therefore, the area of the isosceles triangle is:

[tex]A=\sqrt{7(7-5)(7-5)(7-4)},\\A=\sqrt{7\cdot 2\cdot 2\cdot 3},\\A=\sqrt{84}, \\A=2\sqrt{21}\:\mathrm{cm^2}[/tex]

Thus, the area of the quadrilateral is:

[tex]6\:\mathrm{cm^2}+2\sqrt{21}\:\mathrm{cm^2}=\boxed{6+2\sqrt{21}\:\mathrm{cm^2}}[/tex]

Davina uses a diagram to demonstrate the Pythagorean Theorem.
3
hypotenuse
How are the squares related to the sides of the triangle?
The area of each square is equal to the square of the length of the side to which it is adjacent.
The area of each square is equal to the length of the side to which it is adjacent.
The sum of the areas of the squares is equal to the square of the perimeter of the triangle.
The perimeter of each square is twice the length of the side of the triangle squared.

Answers

Answer:

the first option : The area of each square is equal to the square of the length of the side to which it is adjacent.

please tell me the angle of elevation

Answers

Answer:

32°

Step-by-step explanation:

The model forms a triangle. The sum of the angles of a triangle is 180°. Solve with the following equation:

? + 90 + 58 = 180

? + 148 = 180

? = 32

Therefore, the angle of elevation is 32°.

Explain why cos(-3π/4)=cos(5π/4).

Answers

Answer:

Step-by-step explanation:

Because the cosine is a positive function from which we can deduce                   [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\dddddd \displaystyle \Large \boldsymbol{Rule : cos(-\alpha)=cos\alpha } \\\\\\ \cos\bigg(\frac{-3\pi }{4} \bigg)=cos135=-sin45=-\frac{\sqrt{2} }{2} \\\\\\cos\bigg(\frac{5\pi }{4} \bigg)=cos225=-sin45=-\frac{\sqrt{2} }{2}[/tex]                            Therefore, they are equal                      

Mary wants to buy a mobile phone; the least expensive one she's spotted so far is $15. Mary has $4.25 saved for a mobile phone. If Mary works at a rate of $2.15 per hour, how many hours (H) will she have to work in order to afford a mobile phone?

Answers

4 hours hope this helps

Answer:

Mary would have to work 5 hours to afford a mobile phone.

Step-by-step explanation:

$15-$4.25= $10.75 that Mary would need to save.

2.15 x 5= 10.75

[tex]\sqrt{\frac{x-4\sqrt{x}+4 }{x+4\sqrt{x} +4} }[/tex]

Answers

Answer:

\begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}

\begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)=1\:\\ \:\mathrm{Interval\:Notation:}&\:f\left(x\right)=1\end{bmatrix}

Step-by-step explanation:

This is the simplified answer.

Solve for a.
a
2
8
a =
✓ [?]
Pythagorean Theorem: a2 + b2 = c2
Enter

Answers

Answer: [tex]a=\sqrt{60}[/tex]

Step-by-step explanation:

To solve for a, we want to use Pythagorean Theorem as provided int eh problem. a and 2 are the legs while 8 is the hypotenuse.

[tex]a^2+2^2=8^2[/tex]           [exponent]

[tex]a^2+4=64[/tex]            [subtract both sides by 4]

[tex]a^2=60[/tex]                  [square root both sides]

[tex]a=\sqrt{60}[/tex]

Now we know that [tex]a=\sqrt{60}[/tex].

Show that (x+1)(x+3)(x+5) can be written in the form ax3+bx2+cx+d where a b c and d are all positive intergers

Answers

Answer:

Step-by-step explanation:

(x+1)(x+3)(x+5), multiply first two parenthesis

(x² +3x +x +3)(x+5), combine like terms

(x² +4x +3) (x+5), multiply the parenthesis

(x³ +5x² +4x² +20x +3x +15), combine like terms

x³ +9x² +23x +15 is in the form ax³ +bx² +cx +d

a=1, b=9, c=23, d=15 are all positive integers

Rose has $83. She is saving up for a new bike. If she saves $15 per week, how much money will she have after 8 weeks?

How much money does Rose have after 8 weeks? Solve on paper, then enter your answer on Zearn.


Rose has $
after 8 weeks.

Answers

Answer:

$203

Step-by-step explanation:

15x8=$120

120+83=$203

She will have 120$ 15 x 8 =120

someone help me with this please!!!!

Answers

Answer:

0*i+5j

Step-by-step explanation:

The vector is given by 0*i+5j

please answer this!!!!!

Answers

Answer: Choice A. 338 meters

Step-by-step explanation:

tan(31°)=203/x

Answer: 338 m

Step-by-step explanation:

Tan 59 = x/203

(1.66)(203)=338m

How can you use what you know about 5(2) to find 5(-2)?
Please help

Answers

Answer:

-10

Step-by-step explanation:

5(2) or fives times two is positive ten. The rule about multiplying with negatives is a negative times a positive is a negative. We take the multiplication answer from 5(2)=10 and apple the nagative from 5(-2). Hope this helps:)

Will give brainliest to the first person

Answers

Step-by-step explanation:

Area=b×h

= (x+5)×(x+6)

=x^2+6x+5x+30

=x^2+11x+30

If u simplify u will get (x+5)(x+6) as answer.

Keep smiling and hope u are satisfied with my answer.Have a good day :)

tìm 2 phân số có tử số bằng 1 mẫu số là 2 số tự nhiên liên tiếp sao cho 7/59 ở giữa 2 phân số

Answers

Answer:

Bajaj Pulsar of a great time in the 7th century there where you will have the gall the subcontinent the

What is the solution to the inequality x2 < 16 – 6x?
Question 7 options:

A)

x < –8 or x > 2

B)

x < –8 and x > 2

C)

–8 ≤ x ≤ 2

D)

–8 < x < 2

Answers

Answer:

D

Step-by-step explanation:

2x < 16 - 6x

Bring the variables to one side

2x < 16 - 6x

+6x       +6x

8x < 16

Divide both sides by the coefficient

8x/8 < 16?8

x < 2

can someone pls help me

Answers

On the last option, since you can substitute y=3x+1 into the other equations to solve for x.

(a) Write
[tex] {2}^{5} \div {2}^{5} [/tex]
as a single power if 2.

Answers

Answer:

2^0

Step-by-step explanation:

When you are dividing 2 exponents with the same base (in this case, 2) you subtract them. 2^5 ➗ 2^5 => 2^(5-5) = 2^0 => which is equal to 1, but the answer here would be 2^0.

There are two ways to go about this problem.

The first way, the generic way, is to know that,

[tex]\frac{a^n}{a^m}=a^{n-m},a\neq0[/tex].

So,

[tex]\frac{2^5}{2^5}=2^{5-5}=\boxed{2^0}[/tex].

The second way is to realise that both numerator and denominator are equal and when diving two equal numbers you obtain 1. (except when diving zeros) aka,

[tex]\frac{a}{a}=1, a\neq0[/tex]

And 1 equals to any number raised to the power of zero,

[tex]a^0=1,a\neq0[/tex]

So we just have to say that the 1 we got is rewritten as some base to the power of zero.

Since our base needs to be 2, we just simply say,

[tex]2^0[/tex].

Et Viola.

Hope this helps.

convert f(x) = 5x(x – 6) to standard form

Answers

Answer:

[tex]5x^{2} - 30x[/tex]

Step-by-step explanation:

What is the y-intercept of the line whose equation is y=−3x ?

Answers

Answer:

y=mx+b

b is the y intercept

b=0, so 0 is the y intercept

Step-by-step explanation:

asap help -------------------

Answers

Answer:

C. Complex

Step-by-step explanation:

A complex number consists of a real part (-4.8) and an imaginary part (56i)

wo large tanks A and B are each partially filled with 100 gallons of salt water. Initially,80 pounds of salt is dissolved in the solution in tank A, and 30pounds of salt is dissolvedin the solution in tank B. The system is closed so that the wellstirred saline solution ispumped only between tanks A and B. The saline solution in tankA travels to tank Balong a pipe at the rate of 3 gallons per minute, and the salinesolution in B travels totank A at the rate of 2 gallons per minute. Write a system of IVPs that will describe theamount of salt,x1, in tank A at timetand the amount of salt,x2in tank B at timet.

Answers

At the start, it's given that x₁ (0) = 80 lb and x₂ (0) = 30 lb.

The amounts of salt in either tank change according to

dx₁/dt = (2 gal/min) (x₂/(100 - t ) lb/gal) - (3 gal/min) (x₁/(100 + t ) lb/gal)

dx₂/dt = (3 gal/min) (x₁/(100 + t ) lb/gal) - (2 gal/min) (x₂/(100 - t ) lb/gal)

To break this down a bit, consider tank A, for instance:

• solution flows in from B at a rate of 2 gal/min

• the volume of liquid in tank B after t minutes is

100 gal + (2 gal/min - 3 gal/min) (t min) = (100 - t ) gal

because the tank starts with 100 gallons of liquid, and 2 gallons are pumped in while 3 gal are pumped out each minute

• at any time t, the solution in B contains x₂ pounds of salt

• the concentration of the solution in A is then x₂/(100 - t ) lb/gal

• multiplying this by the inflow rate tells you how much salt is moving around each minute

A student recorded the weight of potatoes she used for a science fair project. Read


the data. For each potato, draw an X above the line plot to show its weight.


B


E


1


Weight in


읍 유 2 / 4 1 2 3 4 2


A


Potato


С


3


D


F


G


H


2


4


pounds


Кеу


1 potato = x


4.


4


O


2


4.


4


What is the total weight of all the potatoes? Give your answer in simplest form.


3


What is the difference in weight between potatoes that weigh 4 pound and those that


weigh pound? Give your answer in simplest form.

Answers

what?

Step-by-step explanation:

I dont understand

HELPPPP
You invest $2700 in an account at 1.5% per year simple interest. The equation
that represents this scenario is:
A(n) = 2700 + (n - 1)(0.015. 2700)
How much will you have in the account in year 5? Round your answer to the
nearest dollar.

Answers

Second option. 1.5% of 2,700 is 40.5. Multiply that by 5 and you get 202.5 add that to 2,700 and you get 2,902.5. Round that and you get 2,903. Hence, the second option is correct.

In the SuperLottery, three balls are drawn (at random) from ten white balls numbered from $1$ to $10$, and one SuperBall is drawn (at random) from ten red balls numbered from $11$ to $20$. When you buy a ticket, you choose three numbers from $1$ to $10,$ and one number from $11$ to $20$.

If the numbers on your ticket match the three white balls and the red SuperBall, then you win the jackpot. (You don't need to match the white balls in order). What is the probability that you win the jackpot?

Answers

This question is solved using probability concepts.

A probability is given by the number of desired outcomes divided by the number of total outcomes.The order in which the balls are chosen don't matter, which means that the combinations formula is used to find the number of outcomes.

Doing this, we get that:

[tex]\frac{1}{1200}[/tex] probability that you win the jackpot.

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

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

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

Total outcomes:

3 white from a set of 10(numbered from $1 to $10).1 red from a set of 10(numbered from $11 to $20).

Thus:

[tex]T = C_{10,3}C_{10,1} = \frac{10!}{7!3!} \times \frac{10!}{1!9!} = 120 \times 10 = 1200[/tex]

Desired outcomes:

The correct balls, order does not matter, so only one outcome, that is, [tex]D = 1[/tex]

What is the probability that you win the jackpot?

[tex]p = \frac{D}{T} = \frac{1}{1200}[/tex]

[tex]\frac{1}{1200}[/tex] probability that you win the jackpot.

A similar question is given at https://brainly.com/question/23966554

Answer:

6/7200=1/1200

Step-by-step explanation:

[3! ways to arrange the three white balls] over [10x9x8 ways to pick three white balls and 10 ways to pick a red]  =3x2x1/10x9x8x10=6/72x100=6/7200=1/1200

<(-_-)>__ConNelL__>(-_-)<

Use the grouping method to factor this polynomial.
x2 + 2x2 + 12x + 24
O A. (x2 +12)(x+2)
O B. (x2 +6)(x+2)
C. (x² + 2)(x+6)
O D. (x2 + 2)(x+12)

Answers

Answer:

A. (x² + 12)·(x + 2)

Step-by-step explanation:

Question; Factor x³ + 2·x² + 12·x + 24, using the grouping method

The given polynomial is presented as follows;

x³ + 2·x² + 12·x + 24

Using the grouping method, we have;

(x³ + 2·x²)( + 12·x + 24)

Which gives;

x²·(x + 2) + 12·(x + 2)

Therefore, we get;

(x² + 12)·(x + 2)

The correct option is A. (x² + 12)·(x + 2).

Find the amount and the compound interest on rupees 5000 for 2 years at 6% per annum, Interest payable yearly. Answer with full steps and formula NO BAD ANSWERS REQUIRED :D

Answers

Answer:

I. Amount = 5618 Rupees

II. Compound interest = 618 Rupees

Step-by-step explanation:

Given the following data;Principal = 5000 RupeesTime = 2 yearsInterest rate = 6%

To find the compound interest;

Mathematically, compound interest is calculated using the formula;

A = P(1 + r)^t

Where;

A is the future value.P is the principal or starting amount.r is annual interest rate.t is the number of years for the compound interest.

Substituting into the formula, we have;

A = 5000(1 + 0.06)^2

A = 5000(1.06)^2

A = 5000 * 1.1236

A = 5618 Rupees

Next, we would determine the compound interest using the formula;

C.I = A - P

C.I = 5618 - 5000

Compound interest (C.I) = 618 Rupees

A basketball team won 8 games and lost 7 games. Based on these results what is the probability of winning a game

Answers

the probability is made of the desired outcome divided by the total outcome.

desired = wins = 8

total = wins and losses = 15

8/15 is the probability (approx. 53%)

hope it helps :)

everything I do is not right help please

Answers

49 - 2/3 x = 32 - 1/6 x

Move the constant terms to one side and the terms containing x to the other:

49 - 32 = 2/3 x - 1/6 x

Simplify the left side, and pull out the common factor of x on the right side:

17 = (2/3 - 1/6) x

Write the fractions in terms of a common denominator. In this case, you would take

2/3 = 4/6

so that

(2/3 - 1/6) x = (4/6 - 1/6) x = 3/6 x = 1/2 x

Then the equation is

17 = 1/2 x

Multiply both sides by 2:

2 × 17 = 2 × 1/2 x

34 = x

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