Simultaneous equations
2x+4y=1
3x+5y=7

Answers

Answer 1

Answer:

x = 11.5, y = -5.5.

As an ordered pair this is (11.5, -5.5).

Step-by-step explanation:

2x+4y=1               Multiply this by 3:

3x+5y=7               Multiply this by -2.

6x + 12y = 3

-6x - 10y = -14       Adding these 2 equations:

0 + 2y = -11.

y = -11/2

y = -5.5.

Now plug this into the first equation:

2x + 4(-5.5) = 1

2x = 1 + 22

x = 23/2

x = 11.5.


Related Questions

Please look at picture and answer the simplifying part

Answers

still 3/10 there is no simplifying needed

Answer:

3/10

Step-by-step explanation:

it is completely simplified already

What is 3.50 if it rose by 4000%

Answers

Multiply by 4000%
3.5 x 4000% = 140

Department stores customer parking lot has four rows with an equal number of parking spots in each row. The loud also has 15 parking spots for store employees FC cars can be parked in each of the four main roles of the parking lot what is the expression for the maximum number of cars that can be parked in the parking lot.

Answers

Answer:

4c + 15

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION BELOW;

A department store's customer parking lot has 4 rows with an equal number of parking spots in each row. The lot also has 15 parking spots for store employees. If c cars can be parked in each of the 4 main rows of the parking lot, what is the expression for the maximum number of cars that can be parked in the parking lot?

15c − 4

c(15 − 4)

4c + 15

4(c + 15)

✓We were told that the customer stores parking has Total number of 4 rows,

✓ for " c" cars to be parked in the 4 main rows i.e in each of them, we can calculate the overall numbers of car parked in the rolls as ( 4 × c)= 4c

✓ we were told that there are 15 parking spots available to employees in the store

✓ maximum number of cars that can fit into the parking lot will be ( 15 + 4c)

= 4c + 15

Solve 3 7/10-2 2/5 and explain how you got it please

Answers

Answer:

1.3

Step-by-step explanation:

just subtract it

Answer:

-7/10 is correct answer hope it helps

Chase plans to buy a new car and determines he can budget $725 monthly for four years. His bank is offering an 8 25% annual interest rate What is the maximum loan he can afford to stay in his budget? Use the formula, A = (p[(1 + r/n) ^ m - 1])/(1/n * (1 + r/n) ^ N) , where Pis the monthly payment, the annual interest rate, nis the number of times interest is compounded in one year and is the number of years.

Answers

Answer:

$29555.20

Step-by-step explanation:

Given that:

P = $725

r = 8.25% = 0.0825

n = 12

t = 4 years

From the given formula:

[tex]A = \dfrac{P{(1+\dfrac{r}{n})^{n*t}-1 } }{\dfrac{r}{n}(1+ \dfrac{r}{n})^{nt}}}[/tex]

[tex]A = \dfrac{725{(1+\dfrac{0.0825}{12})^{12*4}-1 } }{\dfrac{0.0825}{12}(1+ \dfrac{0.0825}{12})^{4\times 12}}}[/tex]

[tex]A = \dfrac{725{(1.3894-1 )} } { 0.006875 \times 1.3894 }[/tex]

A = $29555.20

SUMMATIVE TEST

ARALING PANLIPUNAN 4

QUARTER 2

tama

temeli

1

Panuto: Isulat kung TAMA O MALI ang mga sumusunod na pahayag.

1. Nakabatay ang hanapbuhay sa kapaligiran.

Gama 2. May interaksyon ang tao sa kanyang kapaligiran,

3. Malawak ang pangisdaan sa Pilipinas.

4. Magkakaiba ang produkto sa iba't-ibang bahagi ng bansa ayon sa kapaligiran.

5. Umaasa ang Pilipino sa gobyerno para matapos ang mga pangangailangan

6. Ang mga likas na yaman ay inaangkat natin sa ibang bansa

7. Ang climate change ay nagpapayaman sa Pilipinas

8. Ang polusyon ay nakaapekto ng mabuti sa ating kalusugan,

9. Ang pagre-recycle ay matalinong pangangasiwa ng mga bansa.

10. Ang likas na yaman ay maaaring maubos at mawala.

Answers

Answer:

1.mali

2.mali

3tama

4.tama

5.mali

6.tama

7.mali

8.mali

9.tama

10.mali

Help someone please? And makes sure the answer is right please and thank you :)

Answers

Answer:

x=7

Step-by-step explanation:

In this question, since  the horizontal lines are parallel lines, these two angles are congruent to each other.

So we have: 105=16x-7

Equation: 105=16x-7

Add 7 to both sides: 112=16x

Divide by 16 on both sides: x=7

Let me know if this helps!

Can someone please help me on this question and show the work if you can?

Answers

Answer:

it is a 60 30 90 triangle so basically 2y is = x

21² + y² = x²

441 + y² = x²

y = x/2 (2y = x)

441 + x²/4 = x²

4x² = 1764 + x²

3x² = 1764

x = exact is 24.248711306 simplied square root would just be 14√3

2y = 14√3

y = 7√3

exact wouldd be 12.124355653

Which is the exponential form of the expanded form shown? (Two-fifths) (two-fifths) (two-fifths) (two-fifths)

Answers

(Two fifths) to the power of four
Also shown as (2/5)^4
Since two fifths is being multiplied by itself 4 times, it is raised to the fourth power

True or false
The graph of a linear equation is always horizontal line ?

Answers

Answer:

truef8y8y8gufu0fy9f8tft8

Answer:

true

Step-by-step explanation:

totoo po yn hindi ko po layo niloloko

Suppose you visit a restaurant with a salad bar containing the following choices: 10
dressings, 15 vegetables, 6 cheese toppings and 4 different crouton toppings. What is
the total number of possible salads you could create?
35
3600
150
900

Answers

Answer:

3600

Step-by-step explanation:

multiply all of the choices

10x15x6x4

The total number of possible salads you could create is 3600. so the correct option is B.

What is the fundamental principle of multiplication?

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

WE have been given the following choices: 10 dressings, 15 vegetables, 6 cheese toppings and 4 different crouton toppings.

Therefore, the total number of possible salads you could create;

Then multiply all of the choices

10 x 15 x 6 x 4

= 3600

Hence, The total number of possible salads you could create is 3600. so the correct option is B.

Learn more about multiplications, please visit the link given below;

https://brainly.com/question/14059007

#SPJ2


There are 9 counters in a bag.
7 of the counters are green.
2 of the counters are blue.
Ria takes at random two counters from the bag.
Work out the probability that Ria takes one counter of each colour.
You must show your working.

Please show the full working out so I know how to get full marks in future I’ll give brainiest

Answers

Answer:

7/18

Step-by-step explanation:

Probability is the ratio of the number of possible outcomes to the number of total outcomes.

Given that there are 9 counters in a bag, 7 are green while 2 are blue.

the probability of picking at random a

Green counter = 7/9

Blue counter = 2/9

The probability that Ria takes one counter of each colour if 2 counter are picked as random is Green and Blue or Blue and Green

This is

=7/9 * 2/8 + 2/9 * 7/8

Recall that when a counter is picked the number of that ball available reduces and so does the total number of counter

=14/72 + 14/72

= 28/72

= 7/18

what ya'll think????

Answers

Answer:

Wow that is amazing!

Step-by-step explanation:

Also thanks for the free points :D

Have a great day <3

Work out the perimeter of the shaded shape
3cm
4cm
9cm
6cm
The diagram is not drawn to scale.
__cm​

Answers

Answer:

32cm

Step-by-step explanation:

Perimeter of the shaded shape is the sum of all the sides

To unknown side = 4cm + 6cm = 10cm

Perimeter of the figure = 3cm + 4cm + 6cm + 9cm + 10cm

Perimeter of the figure = 32cm

Hence the Perimeter of the figure is 32cm

4cm

9cm

6cm

The diagram is not drawn to scale.

__cm​

Question 4 (1 point)

The organizers of a concert are preparing for the arrival of 50,000 people in a field. Each person is alloted 5 square ft of space, so the

organizers rope off a circular area big enough to account for 5 square feet per person. Find the radius of this region, rounding to the nearest

foot.

Answers

Answer:

Radius of park r = 282.04 ft (Approx)

Step-by-step explanation:

Given:

Number of people = 50,000

Each person needs area = 5 ft²

Park's is in shape of circle

Find:

Radius of park r

Computation:

Total area required = 50,000 x 5

Total area required = 250,000 ft²

Area of circular park = Total area required

πr² = 250,000

(22/7)r² = 250,000

r² = 79545.4545

r = 282.04 ft

Radius of park r = 282.04 ft (Approx)

The areas of the squares adjacent to two sides of a right triangle are shown below.
? units?
35 units
50 units
What is the area of the square adjacent to the third side of the triangle?

Answers

Answer:

85

Step-by-step explanation:

All you do is add 35 units and 50 units together.

Area of the square adjacent to the third side of the triangle is 85 units square

What is Pythagoras theorem?

Pythagoras theorem states that a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

Given that areas of the squares adjacent to two sides of a right triangle are :

35 sq units

50 sq units

To determine the area of the square adjacent to the third side of the triangle

According to Pythagoras theorem,

Hypotenuse² = Base² + Perpendicular²

As figure is missing  assuming given sides are perpendicular sides

Then Area of the square adjacent to the third side of the triangle = 35 + 50

= 85 units square

Now, assuming 50 sq unit is an area on hypotenuse

Then Area of the square adjacent to the third side of the triangle  = 35 - 50

= 15 units square

Learn more about Pythagoras theorem here:

brainly.com/question/343682

#SPJ2

need help...............

Answers

Answer:

f^3 + 5f^2 +12f +8

Step-by-step explanation:

Lola already has 6 pennies, and she plans to save more. In her first week

of saving pennies, she will save twice the number of pennies that she

already has. Each week after, she will save twice the number of pennies

as the previous week.

Which equation can be used to determine the number of pennies, P, Lola

will save during week w of saving pennies?

Answers

Answer: [tex]P=6(2)^{w-1}[/tex]

Step-by-step explanation:

Here, the money saved each week follows geometric progression with a common ratio r= 2 and first term a= 6.

In geometric progression, nth term  = [tex]ar^{n-1}[/tex]

Substitute  r= 2 , a= 6 and n=w, we get

wth term = [tex]6(2)^{w-1}[/tex]

The equation can be used to determine the number of pennies, P, Lola will save during week w of saving pennies:

[tex]P=6(2)^{w-1}[/tex]

Hal earns $5 a week doing chores for his parents. He also earns $10 a week for each dog, d, he walks
Write an equation to find m, the total amount of money Hal earns in one week. Which variable in the equation is the dependent variable and which variable is the independent variable? Tell how you know

Answers

Answer:

Step-by-step ex

A certain statistic bˆ is being used to estimate a population parameter B . The expected value of bˆ is equal to B . What property does bˆ exhibit? The sampling distribution of bˆ is normal. The sampling distribution of b hat is normal. A The sampling distribution of bˆ is binomial. The sampling distribution of b hat is binomial. B The sampling distribution of bˆ is uniform. The sampling distribution of b hat is uniform. C bˆ is unbiased. B hat is unbiased. D bˆ is biased.

Answers

Answer:

C bˆ is unbiased.

Step-by-step explanation:

In statistics, the sampling distribution showcases the distribution of obtained values by the statistics in all possible sample sizes of the same population. A statistic that estimates a population parameter is termed to be an unbiased estimator if the mean of such distribution appears to be equal to the true value of the estimated parameter.

Thus, from the aforementioned, the property exhibited by b- is unbiased.

d is biased

Step-by-step explanation:

The expected value of d is not D

The property where the expected value of d is D is called unbaisedness, hence d is biased

At a sale, shirts were sold for $16 each. This price was 80% of their original price. What was the original price?

Answers

Answer:

$20 was the original price. 16÷20= .8=80%

Answer:

The original price is 100%. and 80%

Step-by-step explanation:

The original price is 100%. and 80%=$15. ⇒1%=$1580=$0.1875. ⇒100%=$0.1875×100=$18.75.

If 50% of a number is 170 and 20% of the same number is 68, find 70% of that
number.

Answers

The answer to this is 119

Suppose each block is 300 ft long. Suppose I could fly and walk through people’s houses and yards so that I could travel a straight line from my house to the library. What distance would I travel?

Answers

Answer:

1615.55 ft

Step-by-step explanation:

The coordinates for house (300,300)

Library coordinate =(1800, 900)

Distance between two points :

D = sqrt[(x2 - x1)² + (y2 - y1)²

D = sqrt[(1800 - 300)² + (900 - 300)²

D = sqrt[(2250000 + 360000)]

D = sqrt[(2610000)]

D = 1615.5494

D = 1615.55 ft

-2x + 6 < 20 what is the answer?

Answers

Answer:

지금 당장받는 퀴즈에 대한 도움이 정말 필요 해요 ... 그냥 질문에 무작위로 답 해주셔서 ... 미안 해요 미안 해요 .. 또한 몬스타 엑스를 아시나요, 그들은 정말 좋은 그룹입니다

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

Name two pairs of alternate exterior angles.

Answers

Answer:

Possible Alternate Exterior Angles:

5 and 4

1 and 8

9 and 16

13 and 12

Answer:

B.

Step-by-step explanation:

can anyone help with this ??

Answers

Answer:

68

Step-by-step explanation:

Solve the proportion Round as necessary to the nearest tenth

Answers

Answer:

z=[tex]\frac{9}{2}[/tex]

Other posible answers:

z=4.5

or

z=[tex]4\frac{1}{2}[/tex]

x/7 > -2
What is the answer and it says your answer must be simplified ​

Answers

Answer:

x>-14

Step-by-step explanation:

x/7>-2

x>-14

A cube with a volume of 64 cubic meters is scaled by a factor of 5. What is the volume of the modified cube in cubic meters? (Note: do not include the units in your answer.)

Answers

Answer:

8000 for plato users

Step-by-step explanation:

Answer:

8000

Step-by-step explanation:

a) Which of the four curves, A, B, C or D,
is a sketch of the curve with equation y = 2* ?
A
b) Give the coordinates of any points of
intersection of the curve of y = 2with
the axes.
If there are no points of intersection
write, 'no points'.
(1)

Answers

Answer:

Step-by-step explanation:

Other Questions
pls help!! would appreciate a lot HURRY PLEASE SHOW UR WORK AND WILL GIVE BRAINLIEST !!! Files3. In the real life trial John Adams selected men for the jury that did not live in Boston atthe time of the Boston Massacre. This was because he wanted...an impartial jurya partial jurypeople from outside of the large city of Boston wanted the British to winnoone from Boston wanted to serve on the jury If y varies inversely as x, and y =14 when x=8 , find y when x=7 a plywood plank measures 1cm x 8cm x 90cm and it weighs 396g what is the volume HELP!!! How did agricultural development influence the locations of emerging civilizations and the jobs of people who lived there? Read the excerpt below from Chris Jacobs' narrative called Everlasting. As you read, think about how Jacobs creates an effective anecdote.The car ride would have been long for a grown-up. For a first-grader, it was eternity. There were no iPads or even Game Boys back then to hold my focus; all I had was my red Thundercats lunchbox, the occasional emerald highway sign to mark our progress, and a tongue that churned out Whys like a Ford factory line.Why do we have to get up when it's still nighttime? Why am I going to a new school? Why does it have to be so far?Over the course of the first few weeksonce my mom caught on that these questions were actually complaints, her responses lost some of their patience. Though she handled the daily drives with grace, the bluish bags forming under her eyes told a different story: one about her years spent in poorly-funded, inner-city schools, and the doors that would close on her because of them. But I didn't get to hear that story till years later. For now, I just settled into a frustrated six-year-old silence, my attention flitting to the many switches and buttons in her aging '76 Dodge Aspen.On one morning's ride, in an attempt to run defense on my mischief, Mom held up my lunchbox."Listen," she hushed, giving it three good shakes.I gasped, my body snapping to attention. Two shakes would have been enough for me to recognize that sounda deep, delicious clack of candy marbles that could only beyes, yes, they were"Gobstoppers!!" I tore the lunchbox from her hands, pouring its contents onto my lap. "A whole box?!" I squealed.How is this an effective beginning to the story?It tells the main anecdote of the story.It explains why the author is going to a new school.It gives the entire background of the authors childhood.It sets up the importance of Gobstoppers in the story. Explain why each genotype in the table above has two letters.There are two chromosomes each with an allele. 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Where would chemical weathering occure most rapidly?A) TundraB) Coastal regionC) Tropical rainforest2. karst topography an example of chemical weathering that occurs naturally but its intensified by what change in the environmentA) Acid rainB) El Nino/La NinaC) Deforestation and urbanization3. what is a key factor in the rate of chemical weathering of rock?A) The size of the rocksB) Chemical compositionC) Exposure to wind I WILL GIVE BRAINLIESTrefer to the news article a critical history of Lord of the Flies which sentence from the article best supports its author of assertion that golden novel was influenced by real-world events the way the boys treat each other in Lord of the Flies reflects the way humans who are adult at the time we treat each other all over the world golden and contrast believes that people are a Savage deep down people are always interested and whatever is new so it is hard for one book to keep people's attention for long he said the idea was to trace the defects of society back to the defects of human nature What practice became known as the spoils system?A. 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