Tell whether the ordered pair is a solution to the system of linear equations. 1 point
*
6x + 3y = 12
(5.-6);
4x + y = 14
Yes
No
Maybe
Next
Page 1 of 3

Answers

Answer 1

Answer:

x = 5 and y = -6

Step-by-step explanation:

The given equations are :

6x + 3y = 12 ...(1)

4x + y = 14 ...(2)

Multiply equation (2) by 3.

12x + 3y = 42 ...(3)

Subtract equation (1) from (3).

12x + 3y-(6x + 3y) = 42-12

12x+3y-6x-3y = 30

6x = 30

x = 5

Put th value of x in equation (2).

4(5) + y = 14

20 +y = 14

y = -6

So, the solution of the equations are x = 5 and y = -6.


Related Questions

what is the area of 5m, 17m, 8m, and 5m, the shape is a kite

Answers

Answer:

It can't be a kite. A kite has 2 pairs of equal sides.

Step-by-step explanation:

I need help with this question

Answers

Answer:

j-10=35

j is 45

Step-by-step explanation:

35+10=45

Terrell brought $5.00 to spend at the rink's concession stand. Hot dogs cost $0.65, French fries cost $0.80, nachos cost $1.25, and drinks cost $0.95. If Terrell buys French fries and a drink, what is the maximum number of hot dogs he can purchase?

Answers

Answer:

5 hotdogs

Step-by-step explanation:

Deduct the price of French fries + drink from the total amount of money he has.

5.00 - 0.80 - 0.95 = 3.25

Divide the amount of money left with the amount of money each hotdog cost.

3.25 ÷ 0.65 = 5

if 3/4 of a certain number is equal to 4 1/2, find the number

Answers

Answer:

6

Step-by-step explanation:

3/4x = 9/2

4/3 * 9/2 = 36/6

6

The number in the mathematical statement is 6

How to determine the number?

Let the number be x.

So, the equation can be represented as:

3/4 * x = 4 1/2

Express the fraction as an improper fraction

3/4 * x = 9/2

Multiply through by 4/3

x = 6

Hence, the number is 6

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PLEASE HELP IM ON A TIME LIMIT!!!

Answers

Answer:

i answered the other question like this check your other question for the answerrs

Step-by-step explanation:

4+ 3/6 + 2/6! It’s zearn!!

Answers

Answer:

=29/6

Step-by-step explanation:

4+3/6+2/6

=4+1/2+2/6

=9/2+2/6

=9/2+1/3

=29/6

Answer:

4 5/6 = 29/6 = 4.833333333

Step-by-step explanation:

4+3/6+2/6

Reduce the fraction 3/6 to lowest terms by extracting and canceling out 3.

4+1/2+2/6

Convert 4 to fraction 8/2

8/2+1/2+2/6

Since 8/2 and 1/2 have the same denominator, add them by adding their numerators.

8+1 / 2 + 2/6

Add 8 and 1 to get 9.

9/2 + 2/6

Reduce the fraction 2/6 to lowest terms by extracting and canceling out 2.

9/2 + 1/3

Least common multiple of 2 and 3 is 6. Convert 9/2 and 1/3 to fractions with denominator 6.

27/6 + 2/6

Since 27/6 and 2/6 have the same denominator, add them by adding their numerators.

27+2 / 6

Add 27 and 2 to get 29.

29/6  

help pls will give brainiest

Answers

Answer:

A= (3,3)

B= (4,1)

C= ( 1,0)

Step-by-step explanation:

Answer:

Step-by-step explanation:

A 2, -1

B 1, -3

C 4, -4

Hope this helps!

Thanks for Brainliest!

hitunglah luas permukaan balok dengan ukuran sebagai berikut
a. 8 cm × 4 cm × 2cm
B. 8 cm × 3 cm × 4 cm ​

Answers

jawaban

a. = 112 cm²b. = 136 cm²

penjelasan langkah demi langkah( step by step explanation )

Total Luas Permukaan = 2 (Panjang x Lebar + Lebar x Tinggi + Panjang x Tinggi)

a.Luas Permukaan = 2( 8×4 + 4×2 + 2×8 )

= 2 ( 32 + 8 + 16 )

= 2 × 56

= 112 cm²

b.Luas Permukaan = 2( 8×3 + 3×4 + 4×8 )

= 2 ( 24 + 12 + 32 )

= 2 × 68

= 136 cm²

graph the linear equation y= -4/9x -4​

Answers

Answer:

I used Desmos to graph it

PLEASE ANSWER!! will mark brainliest​

Answers

Answer:

it's the second one

Step-by-step explanation:

a^7/a^13

=1/a^6

=1/(a^2)^3

= 1/ 3√(a^2)^3

=1/(a^2)

(c^3)^3

=3√(c^3)^3

=(c^3)

hence as these results matches so I think option b is correct.

A computer laboratory manager was in charge of purchasing new battery packs for her lab of laptop computers. She narrowed her choices to two models that were available for her machines. Since the models cost about the same, she was interested in determining whether there was a difference in the average time the battery packs would function before needing to be recharged. She took two independent samples and computed the following summary information: Battery Pack Model 1 Battery Pack Model 2Sample Size 9 9Sample Mean 5 hours 5.5 hoursStandard Deviation 1.5 hours 1.3 hoursUsing the null and alternate hypothesis:H0:mu1-mu2=0 vs. Ha: mu1-mu2 not equal 0Calculate the test statistic for this test.

Answers

Answer:

-0.756

Step-by-step explanation:

N1 = 9

N2 = 9

Sd1 = 1.5 hours

Sd2 = 1.3 hours

X1 = 5 hours

X2 = 5.5 hours

Hypothesis

H0: mu1 - mu2 = 0

H1 : mu1 - mu2 not equal to 0

Test statistic

t = (x1 - x2)/SE

SE is the standard error, which is unknown

SE = √sd1²/n1 + sd2²/n2

= √1.5²/9 + 1.3²/9

= √0.25+0.1878

= √0.4378

= 0.66166

t statistics = (5-5.5)/0.66166

= -0.5/0.66166

= -0.756

PLEASE HELP PLSS IM ON A TIME LIMIT!!!

Answers

Answer:

so on the first one all your doing is multiplying 65 by the number on top so the graph should look like this.

2 3 4 5

130 195 260 325

On the second one all your doing is putting the dot where the numbers meet up so for example. I'm going to try my best at this to create a drawing so pretend ! is a line and - is also a line.

10!

!

8!

!

4!_|●_|_|_|_|_|_|

!_|_|_|_|_|_|_|_|

!_|_|_|_|_|_|_|_|_

0!_|_|_|_|_|_|_|_|_|_

2

so I hope this made sense so where I put my dot is where the blue dot should go on the graph

How many times greater is the area of Circle 1 than the area of Circle 2?If circle ones radius is 9 and circle twos radius is 3

Answers

It is 9 fr 100% pls trust me

The area of the circle {1} is 9 times greater than circle {2}.

What is Area?

Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -

V = ∫∫F(x, y) dx dy

Given is to find how many times greater is the area of circle 1 than the area of circle 2 if circle ones radius is 9 and circle twos radius is 3.

We can write the areas of both the circles as -

A{Ο} = πR²

A{Ο1} = π x 9 x 9

A{Ο2} = π x 3 x 3

We can write -

A{Ο1} / A{Ο2} = {π x 9 x 9} / {π x 3 x 3}

A{Ο1} / A{Ο2} = 9

A{Ο1} = 9A{Ο2}

Therefore, the area of the circle {1} is 9 times greater than circle {2}.

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Anna surveyed 300 of the students in her school about their favorite color. 186 students said their favorite color was red. What percentage of the surveyed students said their favorite color was red?
Answer:_________

PLEASE HELP ME!!!

Answers

Answer:

62%

Step-by-step explanation:

I took a fraction and made a decimal which was made into a percentage.

186 ÷ 300 = .62

Check: 62% • 300 = 186

The survey Anna conducted has 62% of students whose favorite color is red.

What is percentage?

The percentage is the value per hundredth. Percentages can be converted into decimal form by dividing them by hundred, Percentage can also be represented as a fraction.

Given that 186 out of 300 students Anna surveyed chooses red as their favorite color.

The percentage of students whose favorite color is red is no. of students whose favorite color is red divided by the total no. of students multiplied by hundred which is,

= (186/300)×100.

= 186/3.

= 62%.

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A man earns $1500 a week. He saves $500. What percentage did he spend?

Answers

Answer:

3313%

Step-by-step explanation:

He spent 66.67%. Check below for reference:

the water supplied by a pump fills a drum of 200 liters in 20 seconds. what is the flow rate of this pump​

Answers

Step-by-step explanation:

Water filled in 20 second = 200 liters

Water filled in 1 second = 200 / 20 = 10 liters

The flow rate of the pump is 10 liters per second.

Hope it will help :)

Based on the water the pump supplies in 20 seconds, we can find that the flow rate of the pump is 10 liters per second.

The flow rate is essentially the amount of water the pump supplies per unit amount of time which in this case is seconds.

It can be calculated as:

= Amount of water supplied / Time supplied

= 200 / 20

= 10 liters per second

In conclusion, the pump has a flow rate of 10 liters per second.

Find out more at https://brainly.com/question/21630006.

(5 pts) It takes Jack 3 hours longer to write holiday cards than it takes Jill. Together, they can write them
in 2 hours. How long does it take each person to write the cards working alone?​

Answers

Answer:

Jack needs 6 hours and Jill needs 3 hours.

Step-by-step explanation:

Let's define the variables:

X  = rate at which Jack can write a holiday card.

Y = rate at which Jill can write a holiday card.

Each of them will need a given time to write a card, such that:

X*T = 1 card

We know that Jack needs 3 more hours to write a card than Jill, then Jill needs 3 hours less than Jack, so if Jack needs T hours, Jill will need T - 3 hours

Then we have the equation:

Y*(T - 3 hr) = 1 card

And we also know that when they work together, they need 2 hours, then:

(X + Y)*2 hr = 1 card.

So we have 3 equations:

X*T = 1 card

Y*(T - 3 hr) = 1 card

(X + Y)*2 hr = 1 card.

Now let's ignore the card part just for the equations, then we get:

X*T = 1

Y*(T - 3 hr) = 1

(X + Y)*2 hr = 1

To solve it, we first need to isolate one variable in one of the equations, let's isolate T in the first equation, we get:

T = 1/X

Now we can replace this in the second equation to get:

Y*((1/X) - 3hr) = 1

So now we have two equations:

(X + Y)*2 hr = 1

Y*((1/X) - 3hr) = 1

We need to do the same, isolate one variable in one of the equations, let's isolate Y in the above one:

Y*2hr = 1 - X*2hr

Y = (1 - X*2hr)/2hr

Now we can replace this in the other equation to get:

((1 - X)/2hr)*((1/X) - 3hr) = 1

Now we can solve this for X:

((1 - X)/2hr)*((1/X) - 3hr) = 1

(1 - X)*((1/X) - 3hr) = 2 hr

1/X - 3hr - X*2hr/X + X*2hr*3hr = 2hr

1/X - 3hr - 2hr + X*6hr^2 = 2hr

1/X + X*6hr^2 = 2hr + 3 hr + 2 hr = 7hr

1/X + X*6hr^2 = 7hr

Now we can multiply all by X to get:

X/X + X*(X*6hr^2) = 7hr*X

Now we have the quadratic equation:

(6hr^2)*X^2 - (7hr)*X + 1 = 0

We can find the solutions of this equation if we use the Bhaskara's formula, the solutions are:

[tex]X = \frac{-(-7hr) +- \sqrt{(-7hr)^2 - 4*(6hr^2)*1} }{2*6hr^2} = \frac{7hr +- 5hr}{12 hr^2}[/tex]

Then we have two solutions:

X = (7hr + 5hr)/12hr = 1 hr^-1

And this is the rate at which Jack writes a card, so the actual units are:

X =  0.167 card/hr

Then Jill's rate will be:

Y = (1 - X*2hr)/2hr = (1 - 1card/hr*2hr)/2hr = -0.5 card/hr

So we have a negative rate, this makes no sense, so we can discard this option. The other solution for X is:

X = (7hr - 5hr)/12hr = 0.166... hr^-1

And this is the rate at which Jack writes a card, so the actual units are:

X =  0.166... card/hr

If we have this, then the rate for Jill will be:

Y = Y = (1 - X*2hr)/2hr = (1 - 0.167card/hr*2hr)/2hr = 0.333 card/hr

Then we have:

X = 0.167 card/hr

If we use the first equation, we get:

(0.166... card/hr)*T = 1 card

T = 1 card/((0.166... card/hr)) =  6 hours

Then Jack needs 6 hours to write a card.

And we know that Jill needs 3 hours less than that, then Jill needs 3 hours.

12 more than the square of a number is the same as 7 times the number.

Answers

Answer: Sorry I don't know

Step-by-step explanation:

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

Step-by-step explanation:

y=x+69

Answer:

y=x+69

Step-by-step explanation:

5+69=74

6+69+75

etc.

HELP ......,,,,,...,,.....

Answers

Answer:

6. Not similar.

7. Not similar.

8. Not similar.

Step-by-step explanation:

6. Reduce all ratios to simplest form 16:20 = 4:5 ; 12:15 = 4:5 ; 20:26 = 10:13 not all of the sides follow the same ratio, so the triangles are not similar.  

7. None of the side lengths are shown. You can find the missing angles of the triangle however, only one of the angles is congruent to the other, so the triangles are not similar.

8. We know that 2 of the sides of each triangle are congruent, and the angle in between the sides are also congruent, which follows the SAS similarity conjecture. However, given that the sides are congruent, not similar in ratio, I can conclude that the triangles are congruent, not similar.

PS. It would mean the world to me if you could mark me brainliest!

Side note- I am not a professional, I just have done this a few months in the past! Best of luck!

Suppose a line parallel to side Y Z of AXY Z intersects sides XY and XZ at points N and M, respectively. Which of the
following is false? (1 point)

Answers

12yx and 17xz is the answer to the equation

T-shirts are on sale for 40% off. The original price per t-shirt is $20. What is the total cost, in dollars, of 8 of these t-shirts at the sale price, including an 11% sales tax?

Answers

Answer:

$106.56

Step-by-step explanation:

discounted price of each shirt is $12

12 x 8 = $96 for 8 shirt

96 x 1.11 = $106.56

Please help me with this question what’s 84 + 6 1/3

Answers

Answer:

90 1/3

Step-by-step explanation:

Answer: Mixed number form = 90 1/3

Decimal form = 90.3 with a repation bar

Actual Form = 271 / 3

Step-by-step explanation:

ILL MARK U BRAINLEST Find the circumference of the circle. Use 3.14 for 1. Round to the nearest hundredth, if necessary.
is
9 in.
The circumference of the circle is about
inches.
1

Answers

Answer:

The answer is either 56.55in or 28.27

Step-by-step explanation:

This is the formula that I used

C=2πr

Circumference = 2·π·4.5 ≈ 28.27433 or

Circumference = 2·π·9 ≈ 56.54867

The answer can be either one. It depends on if 9 is the radius or the diameter of this circle. If 9 is the radius, then the answer would be 56.55in. If the radius isn't 9 but 9 is the diameter, then your radius would be 4.5 and the answer would be 28.27in.

Hope that helps :)

The circumference of the circle will be 56.52 inches.


What is a circumference?

The circumference of a circle can be found using the formula:

Circumference = 2πr

Where r is the radius of the circle, and π (pi) is a mathematical constant approximately equal to 3.14159.

If the radius of the circle is 9 inches, then we can substitute this value into the formula to find the circumference:

Circumference = 2π(9 inches)

Circumference = 18π inches

We can leave the answer in terms of π or approximate it using a decimal approximation for π. Using the value of π rounded to 3.14, we have:

Circumference ≈ 56.52 inches

Therefore, the circumference of a circle with a radius of 9 inches is approximately 56.52 inches or exactly 18π inches.

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Which of the following is the expansion of
(2x + 3)^3?

Answers

I think the answer is 8×^3+36×^3+54×+27. If the answer is wrong then I'm sorry

Answer:

8x^3 + 36x^3 + 54x + 27

Step-by-step explanation:

If you're asking to expand the equation the answer is 8x^3 + 36x^3 + 54x + 27

does anybody know what to do here?

Answers

Answer:

m=6

Step-by-step explanation:

38+8m+4=90

42+8m=90

8m=90-42

8m=48

m=6

Lizette earns $10 in gas money for driving to babysit and then earns $8 for each hour she
babysits the kids. How much money will she make for 5 hours of babysitting?

Answers

Answer:

$30

Step-by-step explanation:

8 x 5 = 40

40 - 10 = 30

what is the quotient of 0.6÷243​

Answers

Answer:

the answer is 0.0024

Step-by-step explanation:

there are more digit's after 4 but hope this is enough

Sandy spent 20% of x hours at her part-time job.What is x if 20% of x is about 26 hours?

Answers

26 divided by .20 therefore x is 130

A carpenter needs to cut a 5 foot, 8 inch piece of wood from an 8-foot board to make a repair to a door. How many inches of wood will he have left after he makes the cut and repairs the cut and repairs the door?

Answers

Answer:

Step-by-step explanation:

1 foot = 12 inches

length of board in inches = 8 ft × (12 in)/ft = 96 in

length of cut in inches = 5 ft + 8 in = 5 ft × (12 in)/ft + 8 in = 60 in + 8 in =  68 in.

96 - 68 = 28 inches left

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