2x + 3y = 9
3x - y = 8

Answers

Answer 1

[tex]\left \{ {{2x + 3y = 9} \atop {3x - y = 8}} \right. <=>\left \{ {{2x + 3y = 9} \atop {9x-3x=24}} \right. <=>\left \{ {{2x+9x+3x-3x=9+24} \atop {9x-3x=24}} \right. \\<=>\left \{ {{11x=33} \atop {9x-3x=24}} \right. <=>\left \{ {{x=3} \atop {y=1}} \right.[/tex]

ok done. Thank to me :>


Related Questions

= 82.2×3.6 Show your working out

Answers

The answer would be 295.92

At a restaurant, the amount of your bill before taxes and tip is $19.83. A 6% sales tax is applied to your bill, and you leave a tip equal to 19% of the original amount. Use mental math to estimate the total amount of money you pay to the nearest dollar.

Answers

Answer:

First, round $19.83 to make the mental math easier.  Then round the tip as well.  Then you can easily multiply the two rounded numbers to find the value.

Step-by-step explanation:

What expression is equivalent too 3(-6h - 4) + 5h?

Answers

Answer:

-13h - 12

Step-by-step explanation:

3(-6h - 4) + 5h

-18h - 12 + 5h

-13h - 12

hope this helps! :D

have a miraculous day, and brainliest is immensely appreciated!! <3

question 4 algebra maths

Answers

Answer:

30

Step-by-step explanation:

4(3)^2 +(3*-2)

4*9-6=36-6=30

Answer:

30

Step-by-step explanation:

Substitute x = 3 and y = - 2 into the expression

4x² + xy

= 4(3)² + 3(- 2)

= 4(9) - 6

= 36 - 6

= 30

PLEASE HELP URGENTLY!!

The sum of three numbers is 96 . The second number is 3 times the third. The third number is 9 more than the first. What are the numbers?

Answers

Answer:

12, 63 and 21 sum to 96

.....

Can someone please help me with this easy math problem?

Answers

B) 253.7
Hope this helps!

What should you do to both sides of the inequality in order to solve x + (-2) > 3?
A) Subtract 3
B) Subtract 2
C) Add 3
D) Add 2

Answers

x+(-2) >3

open the bracket

x-2>3

collect the like terms by taking 2 to the other side

x>3+2

x>6

) f) 1 + cot²a = cosec²a​

Answers

Answer:

It is an identity, proved below.

Step-by-step explanation:

I assume you want to prove the identity. There are several ways to prove the identity but here I will prove using one of method.

First, we have to know what cot and cosec are. They both are the reciprocal of sin (cosec) and tan (cot).

[tex]\displaystyle \large{\cot x=\frac{1}{\tan x}}\\\displaystyle \large{\csc x=\frac{1}{\sin x}}[/tex]

csc is mostly written which is cosec, first we have to write in 1/tan and 1/sin form.

[tex]\displaystyle \large{1+(\frac{1}{\tan x})^2=(\frac{1}{\sin x})^2}\\\displaystyle \large{1+\frac{1}{\tan^2x}=\frac{1}{\sin^2x}}[/tex]

Another identity is:

[tex]\displaystyle \large{\tan x=\frac{\sin x}{\cos x}}[/tex]

Therefore:

[tex]\displaystyle \large{1+\frac{1}{(\frac{\sin x}{\cos x})^2}=\frac{1}{\sin^2x}}\\\displaystyle \large{1+\frac{1}{\frac{\sin^2x}{\cos^2x}}=\frac{1}{\sin^2x}}\\\displaystyle \large{1+\frac{\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}}[/tex]

Now this is easier to prove because of same denominator, next step is to multiply 1 by sin^2x with denominator and numerator.

[tex]\displaystyle \large{\frac{\sin^2x}{\sin^2x}+\frac{\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}}\\\displaystyle \large{\frac{\sin^2x+\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}[/tex]

Another identity:

[tex]\displaystyle \large{\sin^2x+\cos^2x=1}[/tex]

Therefore:

[tex]\displaystyle \large{\frac{\sin^2x+\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}\longrightarrow \boxed{ \frac{1}{\sin^2x}={\frac{1}{\sin^2x}}}[/tex]

Hence proved, this is proof by using identity helping to find the specific identity.

In a recent year, 21% of all college students were enrolled part-time. If 7.6 million college students were enrolled part-time that year, what was the total number of college students?

Answers

Answer:

36.19047619 million

or 36,190,476 students

Step-by-step explanation:

7.6 million / all students = 21% / 100%

7.6 * 100 / 21 = 36.19047619

36.19047619 million

or 36,190,476 students

YO ANYONE WHO IS REALLY GOOD AT MATH THAT COULD HELP ME ?

Answers

Im good at math, what do you need help with?

ALGEBRA
GIVE THE EXPRSSION FOLLOWING CASE
1. Y IS MULTIPLIED BY -8 AND THEN 5 IS ADDED TO THE RESULT

Answers

Is there a picture that I can see so I can hopefully help you out?

Subtract
-
Iw +
W + 4 from įw + 3
1w -
- 1
- 1w + 1
1w7
w + 7
- 1w + 7
aro

Answers

Answer:

what grade are u in so I know

What +1/16 = 3/2 answer please

Answers

Answer:

1   7/16

Step-by-step explanation:

Pleaseeeee helpppp asapp

Answers

Ok done. Thank to me :>

Statement 1: If √12 - √8 = a, then √12 + √8 is equal to 4/a.
Statement 2: a + √b is called the rationalizing factor of c + √d if their product is 1.

• Statement 1 is true; Statement 2 is true; Statement 2 is the correct explanation of Statement 1.

• Statement 1 is true; Statement 2 is true; 2 is not the correct explanation of Statement 1.

• Statement 1 is true; Statement 2 is false.

• Statement 1 is false; Statement 2 is true.

It is an assertion-reasoning question. Please help me to solve this. Need step-by-step explanation as well. Thank you.​

Answers

Answer:

Statement 1 is true; Statement 2 is false.

Step-by-step explanation:

Statement 1:

√12 - √8 = a

Let's use the given value of √12 + √8 ,that is, 4/ a.

If we multiply both the expressions such that their Left Hand Sides get multiplies together and Right Hand Sides together:

=> (√12- √8)(√12 + √8) = a × 4/a

On the LHS,

identity used:

(a-b)(a+b) = a²-b²

On the RHS:

a gets canceled due to its presence in both the numerator as well as the denominator.

=> 12 - 8 = 4

=> 4 = 4

That's it!

We got LHS = RHS, that approves the existence of the given statement.

___________________

Statement 2:

"a + √b is called the rationalizing factor of c + √d if their product is 1"

That's not entirely right!

The correct statement would be:

" a + √b is called the rationalizing factor of c + √d if their product is a rational number ."

Since, rationalizing has got nothing to do with 1, (1 is just another rational number), even if we get 2 by their multiplication, it will be called rationalizing as long as we're getting a rational number.

___________________

Answer:

Hence, I'd say:

Statement 1 is correct but Statement 2 isn't.

That's the third option.

Five times the difference of a number and 8 is 19.

Answers

19 divided by 5 is 3.8 Therefore the difference between a number and 8 is 3.8 so the missing number could be 8 - 3.8 which is 4.2

Holly has a credit limit of $2,500 on her credit card. She had a previous balance of $103.23
and made a $100 payment. The total of her purchases is $45.34. What is her available
credit?

Answers

Step-by-step explanation:

$103.23

$100

$45.34

+_____

=248.57

Please solve this math problem... I will mark you brainliest if it’s the correct answer

Answers

Answer:

1712 square meters

Step-by-step explanation:

2000 - 288 = 1712

2000 - 228 = 1772 so the answer is 1772

x² + 3x + k = 0
pls help​

Answers

Answer:

[tex]\left(h,\:k\right)=\left(-\frac{3}{2},\:\frac{9}{4}\right),\:p=-\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]x^2+3x+y=0[/tex]

[tex]4\left\bigg(-\frac{1}{4}\right)\left\bigg(y-\frac{9}{4}\right)=\left\bigg(x-\left\bigg(-\frac{3}{2}\right)\right)^2[/tex]

[tex]\bold{\mathrm{Therefore\:parabola\:properties\:are:}}[/tex]

[tex]\left(h,\:k\right)=\left(-\frac{3}{2},\:\frac{9}{4}\right),\:p=-\frac{1}{4}[/tex]


Brainliest reward need brief working out

Answers

Answer:

  1. 125 cm³; 88.8 cm³; 1650 cm³; 0.11 m³

  2. about 1.47 kg

  3. can't tell what the volume of 1 jar is

Step-by-step explanation:

The relationship between volume, mass, and density is ...

  mass = volume × density

Solving for volume, we find ...

  volume = mass ÷ density

__

(a) 50 g/(0.4 g/cm³) = 125 cm³

(b) 770 g/(8.67 g/cm³) ≈ 88.8 cm³ . . . (rounded to 3 significant figures)

(c) 4000 g/(2.42 g/cm³) ≈ 1650 cm³ . . . (rounded to 3 significant figures)

(d) 80 kg/(720 kg/m³) ≈ 0.11 m³ . . . (rounded to 2 significant figures)

_____

The volume of the cylinder is ...

  V = πr²h

  V = π(4 cm)²(15 cm) = 240π cm³ ≈ 754.0 cm³

Using the above relation, we find the mass to be ...

  mass = (754.0 cm³)(1.95 g/cm³) ≈ 1470 g = 1.47 kg

_____

We cannot tell if the volume of each jar is 360 liters, or if that is the total volume of all 6 jars. Either way, we suspect a units problem, as the jars would have to be extremely large and unusually thin relative to what we usually think of as a jar for jam (0.77 m diameter; 0.2 mm thick). The density of the jam would be roughly 10 times the density of air, if that is the volume of all 6 jars. The problem would be more sensible if the units of volume were mm³, and the given volume is that of one jar.

The mass of jam in one jar is (5400/6 -200) = 700 g. Divide that by what you think the volume of one jar is in cm³ to find the density in g/cm³. (For comparison, the density of air is about 0.0012 g/cm³.)

_____

Additional comment

We have rounded the answers to 2 or 3 significant figures. In most cases, this is more than would be justified by the number of significant figures in the given measurements. For purposes of ongoing calculations, it is useful to keep intermediate results to at least 1 more significant figure than required for the answer.

If 3 cans of beans cost 90¢, how many can you buy for $2.70?



If you can buy 10 juice packs for $3.00, how much will you spend to buy 4 juice packs?

please answer asap

Answers

9 cans of beans and spend around 13.25 dollars

Answer:

Step-by-step explanation:

1. 3 cans cost 90 cents

3=0.90 & x=2.7

by ratio:

3/0.9 = x/2.7

0.9x=8.1

x= 9

So you can buy 9 cans for 2.7 dollars

2. 10 Juice cost 3 dollars

by ratio:

10/3 = 4/x

10x=12

x=1.2

so you will spend 1.2 dollars to buy 4 juice packs

Joyce's mother buys some shares of Company A on Day 0.
On Day 7, the share price of Company A is $4.60.
If she sells all her shares of Company A and A buys 2000 shares of Company B on Day 7, she would receive $7400.
On Day 12, the share price of Company A is $4.80 and the share price of Company B is $0.50 less than that on Day 7.
If she sells all her shares of Company A and buys 5000 shares of Company B on Day 12, she would have to pay $5800. Find
(i) the number of shares of Company A Joyce's mother has,
(ii) the share price of Company B on Day 12.

Please help aNd thank you!!!​

Answers

Answer:

(i) 4000

(ii) $5.00

Step-by-step explanation:

Let no. of shares of Company A be X

Let share price of Company B on Day 7 be $y

Share price of Company B on Day 12 = $(y-0.50)

(i)

Consider Day 7:

4.60x - 2000y = 7400................ (1)

Consider Day 12:

4.80x - 5000(y-0.50) = -5800

4.80x - 5000y + 2500 = -5800

4.80x - 5000y = -8300............... (2)

(1)*2.5:

11.5x - 5000y = 18500................. (3)

(3)-(2):

11.5x - 4.80x - 5000y + 5000y = 18500 + 8300

6.70x = 26800

x = 4000

(ii)

Sub. x = 4000 into (1):

4.60(4000) - 2000y = 7400

-2000y = 7400 - 18400

-2000y = -11000

y = 5.5

Share price of Company B on Day 12

= 5.50 - 0.50

= $5.00

4.Cost of 10 book is ₹800.What is the cost of 50 such books

Answers

Answer:

₹4000

Step-by-step explanation:

₹800/10 books

₹80/1 book

(₹80/1 book)*(50) = ₹4000

How to find a and b in the equation below.
3(a+b)=28

Answers

Answer:

a equals  and b equals 7

Step-by-step explanation

divide both side by 3 getting a+b=(28/3)

subtract b from both sides getting a=(28/3)-b

to solve for b its the same way so b=(28/3)-a

you can then substitute

PLEASE HELP

Jed has 352 stickers in his sticker collection. He wants
to put them in an album. The album holds 8 stickers per
page. How many pages will Jed need? *Show your work
for full credit using any method to solve the problem.

Answers

352 divided by 8 =44 pages
Hope my answer helped!

Simplify completely
x2 + 12x +35
3x + 15

Answers

[tex]x^2+12x+35\\\\=x^2 +5x +7x +35\\\\=x(x+5) +7(x+5)\\\\=(x+7)(x+5)\\\\\\3x+15 = 3(x+5)[/tex]

The graph shows how many sheets of paper a paper folding machine can fold in a certain number of minutes. Choose one ordered pair on the graph. What does it represent in this situation?

Answers

Answer:

  (40, 6000) = 6000 sheets folded in 40 minutes

Step-by-step explanation:

Each point on the graph represents ...

  (minutes, sheets folded)

The point (40, 6000) represents that the machine can produce 6000 sheets folded in 40 minutes.

regular price: $225.75
Precent of discount: 30%

Answers

Answer:

$156.63

Step-by-step explanation:

223.75 - (223.75 x .3) = 156.625

Simplify the radical expression. Select all that apply. (There are two answers I believe) √−36
a. 6
b. -6i
c. 6i
d. -i√6
please dont send links, i will give you brainliest

Answers

Based on the graphs of f (x) and g(x), in which interval(s) are both functions increasing? Polynomial function f of x, which increases from the left and passes through the point negative 5 comma negative 4 and goes to a local maximum at negative 4 comma 0 and then goes back down through the point negative 3 comma negative 2 to a local minimum at the point negative 2 comma negative 4 and then goes back up through the point negative 1 comma 0 to the right, and a rational function g of x with one piece that increases from the left in quadrant 2 asymptotic to the line y equals 1 passing through the points negative 6 comma 2 and negative 3 comma 5 that is asymptotic to the line x equals negative 2 and then another piece that is asymptotic to the line x equals negative 2 and increases from the left in quadrant 3 passing through the point negative 1 comma negative 3 and 2 comma 0 that is asymptotic to the line y equals 1 (–°, °) (–°, –4) (–°, –4) ∪ (–2, °) (–°, –4) ∪ (2, °)

1 A recipe uses 1 - cups of milk to make 10 servings. If the same amount of milk is used each serving, how many servings can be made using 1 gallon of milk? Show your work​

Answers

Answer:

160 servings

Step-by-step explanation:

Step One:

1 gallon=16 cups

1 cup=10 servings

Step Two:

Multiply 16 by 10

which gives you your answer 160

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