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

Apply the distributive property to create an equivalent expression. 5 × ( − 2 w − 4 )

Answers

Answer:

5(-2w)-(5x4)

Step-by-step explanation:

Answer:

5(-2w)-(5x4)

Step-by-step explanation:                                                                                  Hope this helps Can I be the Branliest?

NEED HELP ASAP!!!
Use Pythagorean Theorem to solve. Round to the nearest tenth *
7.2 cm
2.1 cm
х

Answers

Answer:

7.5

Step-by-step explanation:

A squared + B squared = C squared

7.2 squared + 2.1 squared = C squared

=7.5

1 over 8 as a negative exponent

Answers

Answer:

8⁻¹

Step-by-step explanation:

1/x = x⁻¹

8^-1 is the answer......

Determine two pairs of polar coordinates for the point (5, -5) with 0° ≤ θ < 360°

Answers

Answer:

Step-by-step explanation:

x=5

y=-5

Hence it lies in 4th quadrant.

x=r cos θ

5=r cos θ  ...(1)

y=r sin θ

-5 =r sin θ  ... (2)

square and add

(5)²+(-5)²=r²(sin ²θ  +cos ²θ  )

r²=25+25=50

r=±5√2

dividing

tan θ=-5/5=-1=-tan 45°=tan (180-45),tan(360-45)

θ=135°,315°

so polar coordinates are (5√2,315°) and (-5√2,135°)

X=5 Y=-5 is the answer I think?

what is 7 divided by 10 as a fraction

Answers

The fractional form is 7/10.

What is Fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

Given:

We have to divide 7 by 10.

The common factor for 7 and 10

7 = 7 x 1

and, 10= 2 x 5 x 1

so, there is only one factor common is 1.

Thus, the fraction is 7/10.

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I NEED HELP
Use the compound interest formula A=P(1+rn)nt.

If $10,000 is invested at 2 percent semi-annually for 5 years, what is the amount at the end of the term?

$11,052


$11,051


$11,049


$11,046

Answers

Answer:

A

Step-by-step explanation:

Answer:

D: 11,046

Step-by-step explanation: i took the quiz

A radio arm saw has a circular cutting blade with a diameter of 10 inches and it spins at 2000rpm if there are 12 cutting teeth per inch on the cutting blade how many teeth cross the cutting surface each second

Answers

Answer:

12565.11 teeth approximately cut cross the cutting surface per seconds.

Step-by-step explanation:

Since the diameter is 10inches, the circumference of the arm saw is 10π (circumference is πd where d is diameter).

The number of teeth on the cutting blade can be gotten by multiplying the diameter by 12 since we have 12 teeth per inch on the arm saw

Number of teeth on saw = 12 x 10π = 120π.

To get the number of teeth that cross the cutting surface in 2000rpm we multiple it by the total number of teeth in just one rpm.

So we have 2000 x 120π. But since we are asked to find it in revolution per seconds then 2000r/m = 2000r/60s ≈ 33.33

Therefore, we have

33.33 x 120π ≈ 12565.11 teeth

Heya, could someone help me figure this out? I'm kinda stuck on this question :p​

Answers

Answer:

-0.5

Step-by-step explanation:

to understand thisyou need to know about:algebraPEMDASgiven:v=u+atu=2a=-5t=½let's solve:substitute the given values : v=2+(-5)×½v=2+(-2.5)v=-0.5

Witch one would you pick


be honest

starbucks, bobo, tallys world , or boba... you pick say in order what your favs and what you get from there

Answers

Answer:

I prefer Starbucks, and I get the Cookies and Cream Frappuccino.

Step-by-step explanation:

Because it taste good

Answer:

Pumpkin spice latte from Starbucks ( when they have it ) or mango boba

Step-by-step explanation:

i suck at fractions..............................

Answers

That would be 6 and 3/8

Asphere has radius of 3 cm. What is the volume of the sphere?

Answers

Answer:

radius =3cm

volume of the sphere =4/3 πr^3

=4/3*22/7*3*3*3=88/7*3*3=88/7*9=792/7

=113.1cm^3

Question 6(Multiple Choice Worth 4 points)
(05.07 MC)

The number of wins for a high school football team is measured for the season. When the team plays at home, it is generally believed that they will win. Comparing the location of the game and the number of wins, a correlation coefficient of 0.891 is calculated. What would this imply about the football team winning at home?

The scatter plot would closely resemble a straight line with a positive slope. The data has a strong, positive correlation, but causation cannot be determined.
The scatter plot would closely resemble a straight line with a positive slope. The data has a strong, positive correlation, and a causal relationship exists between the team playing at home and winning.
The scatter plot would not be represented by a line of best fit with a positive slope. There is a weak correlation between the football team playing at home and winning.
There is no causation and almost no correlation between the football team playing at home and winning.

Answers

Answer:

The scatter plot would closely resemble a straight line with a positive slope, but causation  cannot be determined.

Step-by-step explanation:

Recall that causation and correlation are 2 different things. Say Taller people usually had a name that started with the letter “A” It's a correlation, but a name does not determine the height, so it's not causation. (I took the test and got it right too.)

The data has a strong, negative correlation, and a causal relationship exists between the team playing at home and winning would be imply about the football team winning at home.

What is a correlation coefficient?

It is an index that measures correlation between two variables, assuming values between -1 and 1.

If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.

If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.

It also is the slope of the line of best fit.

The number of wins for a high school football team is measured for the season. When the team plays at home, it is generally believed that they will win.

Comparing the location of the game and the number of wins, a correlation coefficient of 0.891 is calculated.

The scatter plot would closely resemble a straight line with a negative slope. The data has a strong, negative correlation, and a causal relationship exists between the team playing at home and winning.

Learn more about straight line here:

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someone plz help me plz

Answers

Answer:

38.5

Step-by-step explanation:

First do 77/2 then you get 38.5, if anything is wrong please tell me!!

what are the expressions that are equivalent to 2x + 3x + 8 - 3x - 2​

Answers

Answers that equivalent to the expression 2x+3x+8-3x-2 would be the choices A and C. If you notice, in choice A, you have just combined all the like terms which results in 2x+6 and in Choice C, you have combined all your constants and the the two terms 2x and 3x resulting in 5x-3x+6 which all remain equivalent to he original given expression

2 1/6 x 4 1/2 Solve the problem AND explain your steps

Answers

The answer is 9 3/4, 9.75
Explanation: 13/6 x 9/2
(reduce) 13/2 x 3/2
(Multiply 13/2 x 3/2)
39/4
(Reduce again) 9 3/4 or 9.75
Hope this helps

Divide.Enter the quotient in simplest form

7/10 divided by 4/5

Answers

Answer:

7/8

Step-by-step explanation:

7/10 divided by 4/5 = 7/10 x 5/4 = 35/40 divided by 5/5 = 7/8

the answer is 7/8 and that is in the simplest form

ILL MARK YOU EXTRA POINTS PLS HELP Point A is at (-1, -9) and point B is at (2, 4).
What is the midpoint of line segment AB?

Answers

Answer:

it's (1/2, -5/2)

Step-by-step explanation:

you can use the midpoint formula.

so do -1+2/2 , -9 +4/2 and then solve and you get the answer

As a mixed number in its simplest form :)

4 1/2 ÷ 3/5

Answers

Answer:7.5

Step-by-step explanation:

Answer:

7 1/2

Step-by-step explanation:

Please help me. 25 points.

Answers

Rounding to the nearest tenth is 5 and the height is 9 inches
8 inches = 4.5(4) = 18 feet

2/2 = 4.5/2 = 2.25 feet


Which means, if we add the product and quotient up, we’ll get 20.25 feet for the total height.


I believe it’s already rounded up.

find the area of the shape

Answers

Answer:

787.5

Step-by-step explanation:

23×14=322

A=a+b /2h=15+34 /2·19=465.5

322+465.5=787.5

Simplify each expression by combining like terms
-3x + 12x =

Answers

Answer:

9x

Step-by-step explanation:

hshdhdhdxhhxhxhxhxhxhxhxhhxhxhxhhx

Answer:

9x or 15x

Step-by-step explanation:

-3x + 12x = 9x

-3 + 12 = 9,

or if you just straight out add

-3x + 12x = 15x

Solve for c 4(3+c)+c=c+4

Answers

Answer:

c= -2

Step-by-step explanation:

A grain trader buys the following amounts from three suppliers: 3,200 pounds, 7,200 pounds and 600 pounds. What is the total weight of this purchase

Answers

1. You know that the grain trader buys from three suppliers: 3,200 pounds, 5,100 pounds and 700 pounds.
2. Then, to calculate the total weight of his purchase you only need to add the pounds shown in the problem, as you can see below: THE ANSWER IS B!

The total weight of the grain purchase is 5.5 tons when grain trader buys the following amounts from three suppliers: 3,200 pounds, 7,200 pounds and 600 pounds.

To find the total weight of the grain purchase in tons, we need to convert the weight from pounds to tons and then sum them up.

Given the weights from the three suppliers:

Supplier 1: 3,200 pounds

Supplier 2: 7,200 pounds

Supplier 3: 600 pounds

To convert pounds to tons, we divide the weight in pounds by the conversion factor of 2,000 (since there are 2,000 pounds in a ton).

Supplier 1's weight in tons: 3,200 pounds / 2,000 = 1.6 tons

Supplier 2's weight in tons: 7,200 pounds / 2,000 = 3.6 tons

Supplier 3's weight in tons: 600 pounds / 2,000 = 0.3 tons

Now, we can calculate the total weight by summing up the weights from each supplier:

Total weight in tons: 1.6 tons + 3.6 tons + 0.3 tons = 5.5 tons

Therefore, the total weight of the grain purchase is 5.5 tons.

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40000+10000n= how do i find the answer

Answers

Answer:

50000. easy

Step-by-step explanation:

Answer:

50000

Step-by-step explanation:

FOR 40 POINTS!!!!! PLEASE ANSWER THE QUESTION!!!!!!!! And i will mark you brainlist

Classify the deposit investment:

You want to put a $30,000 down payment on a storefront for a new business that you plan on opening in 5 years. How much should you deposit quarterly into an account with an interest rate of 1.23%, compounded quarterly?

Answers

Answer:

jayfeather friend me

Step-by-step explanation:

$203,904

What amount would you have if you deposited $1,800 a year for 30 years at 8 percent (compounded annually)? $1,800 113.28 = $203,904 (TVM Table-Page 41) 5.

It is $203,904 hope I am right

In city W, the average cost for a gym membership is given by the equation y = 34.99x +49, where y is the total cost, in dollars, for x months of membership. What is the meaning of the y-value when x = 1? *

Answers

The fee at the beginning of the membership.
If x = 1,
34.99(1) + 49 = y
34.99 + 49 = y
83.99 = y

pls help me for brainless
and 60points

Answers

Answer:

2nd

Step-by-step explanation:

Answer:

the orange one

Step-by-step explanation:

3x^2+x-2

3x^2 cant be broken down more because its a prime number. the only thing that can change is the x^2. the main difference between the blue and orange one is that the blue one has the second sign incorrect.

Tom's Ice Cream Shop sold 7 sundaes with nuts and 5 sundaes without nuts. What is the ratio of the number of sundaes with nuts to the number of sundaes without nuts?

Answers

Answer:

20 : 28

5 : 7 = 20 : 28. And 7 is a fourth of 28.

Redraw the graph so that it is not misleading.​

Answers

Answer:

you need to redraw the left axis

Step-by-step explanation:

if you notice on the left axis the numbers do not increase by the same amounts, it goes up .10, then .20, then .30, etc

if should go up the same amount each time to accurately show the data

so it should go from 3.10 to 3.20 to 3.30 to 3.40 etc

Alfie has £10 note He buys 3 pens costing 1.45 each and some pencils costing 90p He gets 2.05 change. How many pencils did he buy?

Answers

Answer:

4 pencils

Step-by-step explanation:

Note=  pencils costing 0. 90p

Given data

Balance= £10

pen= 3*1.45= £4.35

pencils=0.90p

change= £2.05

2.05= 10-4.35-90p

solve for p

2.05= 5.65-90p

collect like terms

5.65-2.05= 0.90p

3.6=90p

divide both sides by 90

p=3.6/0.90

p=4

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