Solve the system of equations –2x+y = 15 and 3x + 2y = -33 by combining
the equations.

Answers

Answer 1

Answer:

x=-9

y=-3

Step-by-step explanation:

Answer 2

Answer:

x=-3/7, y=99/7. (-3/7, 99/7).

Step-by-step explanation:

-2x+y=15

3x+2y=-33

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

-2(-2x+y)=-2(15)

3x+2y=-33

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

4x-2y=-30

3x+2y=-33

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

7x=-3

x=-3/7

-2(-3/7)+y=15

6/7+y=15

y=15-6/7=105/7-6/7=99/7


Related Questions

Tucker's class took a field trip to the art museum. They left school at 7:45 A.M. It took them 1 hour to drive to the museum. They stayed at the museum for 3 hours and 45 minutes. What time was it when Tucker's class left the museum?

Include A.M. or P.M. in your answer Please help me fast!!

Answers

Answer:

I think they left at 1:45 hope this helped!

Step-by-step explanation:

I’m pretty sure they left the museum at 12:30 P.M. then.

Please help me thank you I appreciate it

Answers

I believe it’s 70 because a straight like always adds up to 180 so 180-110=70
The angle would be 70° because 180-110 = 70

On weekdays , a movie theater charges different rates for adults and children. If 3 adults and 2 children go for a movie on a weekday, the total cost of the tickets is $31. If 2 adults and 3 children go on a weekday the total cost of the tickets is 29$ . If a group of adults and 6 children go to the movie theatre on a weekday and pay $58 for tickets , how many adults are in this group ?

Answers

Solve for "c"::
3a + 2c = 31
3*7+2c = 31
2c = 10
c = 5 (price of a child's ticket)

Mega Movies hosted a film premiere on Friday night. They charged $8 for adults and $4 for children. One hundred eight adults and children attended, and $1,152 was made in ticket sales. How many children and how many adults went to the film premiere?
A. 18 children, 133 adults
B. 14 children, 137 adults
C. 8 children, 143 adults
D. 11 children, 140 adults

Answers

Answer:

B.

Step-by-step explanation:

14 x 4 + 137 x 8 = $1,152

hope this helps

have a great day

and a Merry Christmas UwU

I WILL MARK BRAINLIEST IN 5 MINUTES!

Answers

Answer:

Non-linear.

Step-by-step explanation:

The rate of change from t1 to t2 is different from the rate of change of t3 to t4 which makes this non-linear.

simplify the problem:
-4/5+3/10

Answers

Answer:

-1/2

Lcd=10

-4x2/5x2+3/10

​10

​8

​​ +

​10

​3

​​

−8+3/10

-5/10

-1/2

​​

You go to a bakery and see that two cookies
and a glass of milk cost $3.75. One cookie with a
glass of milk cost $2.45. How much will a glass of
milk cost alone? Start by writing a system of
equations, then solve the system.

Answers

Answer:

$1.15

Step-by-step explanation:

You take 3.75 - 2.45 = 1.3 because the 2.45 is taking off the price of one cookie and than when you minus them you get the price of how much the cookie alone costed. then take 2.45 - 1.3 to get how much the milk costs.

could you help me find whqt equivalent to 16x^2/y​

Answers

Answer:

(2xy)⁴/x²y⁵

(4x)²/y

(4x)²y¯¹

Step-by-step explanation:

From the question given above, we obtained:

16x²/y

Thus, we can obtain the equivalent of the above expression as follow:

For Option 1:

(2x)⁴/x²y¯¹ = 2⁴x⁴/x²y¯¹

(2x)⁴/x²y¯¹ = 16x⁴/x²y¯¹

Recall:

1/A¯¹ = A

Therefore,

16x⁴/x²y¯¹ = 16x⁴y/x²

Recall:

Aᵐ ÷ Aⁿ = Aᵐ ¯ ⁿ

Therefore,

16x⁴y/x² = 16x⁴¯²y = 16x²y

(2x)⁴/x²y¯¹ = 16x²y

Thus, (2x)⁴/x²y¯¹ is not equivalent to 16x²/y

For Option 2:

(2xy)⁴/x²y⁵ = 2⁴x⁴y⁴/x²y⁵

(2xy)⁴/x²y⁵ = 16x⁴y⁴/x²y⁵

Recall:

Aᵐ ÷ Aⁿ = Aᵐ ¯ ⁿ

16x⁴¯² y⁴¯⁵ = 16x²y¯¹

Recall:

A¯¹ = 1/A

16x²y¯¹ = 16x²/y

(2xy)⁴/x²y⁵ = 16x²/y

Thus, (2xy)⁴/x²y⁵ is equivalent to 16x²/y

For Option 3:

(4x)²/y = 4²x²/y

(4x)²/y = 16x²/y

Thus, (4x)²/y is equivalent to 16x²/y

For Option 4:

(4x)²y¯¹ = 4²x²y¯¹

(4x)²y¯¹ = 16x²y¯¹

Recall:

A¯¹ = 1/A

16x²y¯¹ = 16x²/y

(4x)²y¯¹ = 16x²/y

Thus, (4x)²y¯¹ is equivalent to 16x²/y

For Option 5:

(4x/y)²

Recall:

(A/B)ⁿ = Aⁿ / Bⁿ

(4x/y)² = (4x)²/y²

(4x/y)² = 4²x²/y²

(4x/y)² = 16x²/y²

Thus, (4x/y)² is not equivalent to 16x²/y

SUMMARY:

(2x)⁴/x²y¯¹ is not equivalent to 16x²/y

(2xy)⁴/x²y⁵ is equivalent to 16x²/y

(4x)²/y is equivalent to 16x²/y

(4x)²y¯¹ is equivalent to 16x²/y

(4x/y)² is not equivalent to 16x²/y

I need some help pls:c

Answers

Answer:

The answer is x= 50 and y=50.

Step-by-step explanation:

So a straight line is always equal to 180 degrees. So, to find the length of the inner angle, subtract 100 from 180= 80. Now that you've gotten the value of that angle, you'll have to find x and y. All angles of a  triangle add up to 180 degrees. 180-80= 100. The small dash on both of those lines means they are equal. Do 100/2 = 50. Hope this helps!

What is the amount of nickels in the jar?

Answers

I think the 3 answer

Which of the following graphs represent a function?

A: Graph A and Graph C
B: Graph A
C: Graph D
D: Graph B and Graph D​

Answers

Answer:

A

Step-by-step explanation:

in function graphs if you would draw a line down what shape or line it can only touch it once.

Who can help me with this problem

Answers

Answer:

y=94x

Step-by-step:

If you have any trouble understanding how i got this please let me know and i will do another explanation.

A cookie factory uses 3 bags of flour in each batch of cookies. The factory used 5 2/3 bags of flour yesterday. How many batches of cookies did the factory make?

Write answer as a fraction or as a whole or mixed number.

Answers

1/3 jk I have no idea and I feel like I should but yeah maybe that’s the answer thx

100 students were asked to ll out a form with three survey questions, as follows: H: Honor Roll
C: Club membership (Robotics Club or Gaming Club)
D: Double-major
Survey results were as follows:
28 checked H (possibly non-exclusively), 26 checked C (possibly non-exclusively), 14 checked D (possibly non-exclusively)
8 checked H and C (possibly. non-exclusively), 4 checked H and D (possibly. non- exclusively), 3 checked C and D (possibly. non-exclusively)
And 2 checked all three statements.
1. How many students didn't check any of the boxes?
2. How many students checked exactly two boxes?
3. How many students checked at LEAST two boxes?
4. How many students checked the Clubs box only? [d]

Answers

Answer:

1. 45

2. 9

3. 11

4. 17

Step-by-step explanation:

The computation is shown below:

Given  that

28 checked H

26 checked C

14 checked D

8 checked H and C

4 checked H and D

3 checked C and D

2 checked all.

Based on the above information

N(H)=28

N(C) 26

N(D) 14

N(H∪C) = 8

N(H∪D) = 4

[tex]N(C\cup D)=3[/tex]

[tex]N(H\cup C\cup D)=2[/tex]

We know that

[tex]Total=N(H)+N(C)+N(D)-N(H\cup C)-N(H\cup D)-N(C\cup D)+N(H\cup C\cup D)[/tex]

= 28 + 26 + 14 - 8 - 4 - 3 + 2

= 55

1. The students who didnt check any kind of the box is

= 100 - 55

= 45

2) Students who checked exactly two boxes is

[tex]= N(H\cup C)+N(H\cup D)+N(C\cup D)-3N(H\cup C\cup D)[/tex]

= 8 + 4 + 3 - 6

= 9

3) Students who checked a minimum of two boxes

[tex]= N(H\cup C)+N(H\cup D)+N(C\cup D)-2N(H\cup C\cup D)[/tex]

= 8 + 4 + 3 - 4

= 11

4) Given N(C) = 26

Now we have to deduct N(C∪D) and N(H∪C) as it could be checked aside from the club

= 26 - 8 - 3

= 15

Here the [tex]N(H\cup C\cup D)[/tex] could be deducted twice under both categories so it would be added one time to neutralize

= 15 + 2

= 17

.

.

Please solve this question.​

Answers

Answer:

An equilateral triangle is formed.

Step-by-step explanation:

Since you construct two lines of 60° at points P and Q, the two ends of the line, you construct a triangle with two angles as 60°.

Hence, with the knowledge that the angle sum of a triangle is 180°, we can find that the remaining angle is [tex](180\textdegree - 60\textdegree - 60\textdegree)[/tex] = [tex]60\textdegree[/tex].

Therefore, a triangle with all angles at 60° is an equilateral triangle.

Hope this helped!

Test Practice When Xavier buys his lunch, he saves the nickel
gets as change. How much money will Xavier have if he buys his
lunch 4 times one week and 2 times the second week?

Answers

Understanding:

First of all, each time Xavier buys lunch he saves a nickel. That means if he buys lunch twice, he is saving 2 nickels, buys 3 times he saves 3 nickels, and so on. To solve this problem we can simply add the times he bought lunch and that will equal the value of nickles he saved so far.

Solution:

First-week savings = 4 nickels

Second-week savings = 2 nickels

Simply, adding those together gives us 6 nickels.

The value of a car is $15000 and depreciates at a rate of 8% per year. What is the decay factor?

Answers

Answer:

Answer:1,875

Step-by-step explanation:15,000 ÷ 8 = 1,875

Answer: I think it is 1200

Step-by-step explanation: because $15000 of 8% is equal to 1200 because it just is

Sally has 6 apples she eats 3 apples how many apples does Sally have left

Answers

Answer:

she has 3 apples left

Step-by-step explanation:

6 apples-3 apples= 3 apples left

uNLeSs thiS is A triCk QueStiOn lol

What is the ratio 6 to 26 expressed as a fraction is simplest form

Answers

Answer:

I think is it 3/13

Step-by-step explanation:

Hope this helped have an amazing day!

Please answer this correctly fast!!
Options:
- SSS
- SAS
- ASA
- AAS
- HL
- Not Possible

Answers

Answer:

ASA

Step-by-step explanation:

Angle Side Angle

As two lines are parallel, alternate interior angles are congruent and the side between these angles are common for both triangles

PLEASE HELP ITS MULTIPLE CHOICE i added extra points and i’ll mark BRAINLIEST !!!

Answers

Answer:

C

Step-by-step explanation:

I Need help with 1-5

Answers

Answer:

1)=0

2)

[tex] \frac{ \sqrt{3} }{?2} [/tex]

3)

[tex] \sqrt{3} [/tex]

4)

[tex]2 + \sqrt{3} [/tex]

5) I don't know that one.

According to the scores on the last math test, 80%, or 20. of the students in the class received an A Find the number of students in the entire class.

Answers

Answer:

25 students

Step-by-step explanation:

.8x = 20

 x = 25 students

Plssssss helpppp meeeeee

Answers

Answer:

A

Step-by-step explanation:

5-2 = 1/52 = 1/25 = 0.04

A
because it just is .

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 408.0 gram setting. It is believed that the machine is underfilling the bags. A 45 bag sample had a mean of 406.0 grams. A level of significance of 0.01 will be used. Is there sufficient evidence to support the claim that the bags are underfilled

Answers

Answer:

There is no sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

Null [H0] : chips x = 408

Alternate [H1] : chips x < 408

t = ( x' - u ) / (s / √n)

x' = sample mean , u = population mean, s = standard deviation, n = no. of observations.

(406 - 408) / (21 /√45)

-2 / 3.13

= 0.64

t value for α = 0.01 (one tailed), with degree of freedom = 44  : is 2.41

As calculated t 0.64 < tabulated t 2.41. So we don't reject the null hypothesis & state that chips x = 408

A 350-seat movie theater charges $10.50 admission for adults and $7.50 for children. If the theater is full and $3411 is collected, how many adults and how many children are in the audience (Note: You may use any method to solve the problem.)

Answers

Answer:

Hence 262 adults and 88chidren are in the audience

Step-by-step explanation:

Let the number adults be x

Let the number of children be y

If there are 350seats in the theatre then;

x+y =350 .... 1

Also if $10.50was charged for adults and $7.50 for children with total amount of $3411, then;

10.50x + 7.50 y = 3411..... 2

Solve simultaneously

From 1, x = 350-y

Substitute into 2:

10.50(350-y) +7.50y = 3411

3675-10.5y+7.50y = 3412

3675-3y = 3411

-3y = 3411-3675

-3y = -264

y = 264/3

y = 88

From 3: x = 350-y

x = 350-88

x = 262

Hence 262 adults and 88chidren are in the audience

what is 0.05 x 300 please step by step explanation asap

Answers

First step you would do

0.05 x 300 in a calculator which would equal 15.

0.05x300=15

If 50⁰& 130⁰ are two adjacent angles then they are from?
A) Pair of alternative angles
B) Linear pair
C) Pair if corresponding angles
D) Pair of vertically opposite angles​

Answers

Answer:

it's B a linear pair

because when you add them they make 180 °

The Student Council sold the following items at the home football game. A B C D E F 1 Item Number Price Income Cost Per Sold Item 2 lollipops 85 $0.25 $21.25 $0.12 3 Gummies 48 $0.35 $16.80 $0.18 4 Bubble Gum 79 $0.45 $35.55 $0.22 5 Combos 46 $0.55 $25.30 $0.26 $ $ $ 16! DHE $ 6. TOTAL $50.72

If n stands for number sold and c stands for cost per item, in which column would you use the formula: n x c?

A; Column D
B: Column E
C: Column F
D: Column G​

Answers

Answer: D: Column G​

Step-by-step explanation:

If n is the number of items sold and c is the cost per item, multiplying n and c would give the total expenses for selling that item.

As expenses are in column G, this is therefore the right column to use n * c.

This is can be proven by using the Lollipops as an example.

n = 85

c = $0.12

n * c = 85 * 0.12 = $10.20

$10.20 is the amount of expenses for lollipops in Column G so Column G must be right.

For an acute angle θ, the equation sin(θ)=cos(6) is true. What is the value of θ? Show or explain your answer

Answers

Answer:

[tex]\theta= 84[/tex]

Step-by-step explanation:

Given

[tex]\sin(\theta) = \cos(6)[/tex]

Required

Find [tex]\theta[/tex]

In trigonometry,

If [tex]\sin(\theta) = \cos(\alpha)[/tex], then

[tex]\theta + \alpha = 90[/tex]

So, in this case:

[tex]\theta + 6= 90[/tex]

Subtract 6 from both sides

[tex]\theta + 6-6= 90-6[/tex]

[tex]\theta= 90-6[/tex]

[tex]\theta= 84[/tex]

Hence, the value of [tex]\theta[/tex] is 84 degrees

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