Mathematics High School

Solve the system by any method.
(3x – 4y = -5
(5x + 8y = -1

Answers

Answer 1

Answer:

( x , y ) = ( -1,1/2)

Step-by-step explanation:

Solve the equation for X

[tex]\left \{ {{x=-5/3+4/3y} \atop {5x+8y=-1}} \right.[/tex]

Substitute the given value of x into the equation 5x + 8y = -1

5(-5/3+4/3y)+8y=-1

Solve the equation for Y

y=-1/2

Substitute the given value of y into the equation x = -5 / 3 + 4 / 3y

x=-5/3+4/3×1/2

Solve the equation for X

x=-1

The system solution is the computer pair

(x,y)=(-1,1/2)

Check if the ordered pair given to the solution of the system of equations

[tex]\left \{ {{3*(-1)-4*1/2=-5} \atop {5*(-1)+8*1/2=-1}} \right.[/tex]

Simplify the equations

[tex]\left \{ {{-5=-5} \atop {-1=-1}} \right.[/tex]

The ordered pair is the solution of the system of equations, since both equations are true

(x,y)=(-1,1/2)

Related Questions

PLZZZZZZZZZZZ HELP
In a recent year, 42% of all college students were enrolled part-time. If 8.9 million college students were enrolled part-time that year, what was the total number of college students?
Round your answer to the nearest million.

Answers

Answer:

A.what was the total number of college students?

B.42%,8.9

C.multiplacation

D. 0.42x8.9=N

E. 0.42×8.9=3,738,000

F.Round your answer to the nearest million.

4,000,000

G. 4,000,000 Is the total number of collage student

I'm just A Beginner｡◕‿◕｡

Answer:

21 million college students

Select the correct answer from the drop-down menu.
-6
-5
B 4 5
6 7
-2
.
x^4 - 2x^2 + 5x + 6
LO
-6
x^3 - 2x^2 - 5x + 6
x^3 - 2x^2 + 5x + 6
-x^4 - 2x^2 + 5x + 6
The function shown in the graph is fx) =

Answers

X^3-2x^2-5x+6
From the shape, you can immediately tell it’s one of the x^3 functions. Then I just put both in my calculator and looked for which one matched

Please help thank you

Answers

Answer:

x=25

Step-by-step explanation:

180-113=67

67-42 = 25

X=25 hope this helps you

There are 272 people in an audience. The ratio of adults to children is 5 : 3. How many are children? (please answer)

Answers

Answer:

There are 102 children

Step-by-step explanation:

Let us solve the question

∵ There are 272 people in an audience

∴ The total number of people = 272

∵ The ratio of adults to children is 5: 3

→ Find the sum of the two parts of the ratio

∴ The sum of the parts of the ratio = 5 + 3 = 8

→ By using the ratio method

→ Adults: Children: People

→ 5 : 3 : 8

→ A : C : 272

→ By using the cross multiplication

∵ C × 8 = 3 × 272

∴ 8C = 816

→ Divide both sides by 8

∴ C = 102

∵ C represents the number of children

∴ There are 102 children

Debra borrowed 5,000 from a bank for 6 years and was charged simple interest. The total interest that she paid on the loan was 2100 . As a percentage, what was the annual interest rate of her loan?

Answers

Answer:

7% was the interest rate

7% is the interest rate

A (1,4) B (-2,3) C (-4,5) 3 units right 4 units down

Answers

Step-by-step explanation:

can you send a picture so we can see at least?

A decorative fence surrounds a rectangular flower garden that is 2 yards long and 3 yards wide. The area of the garden is increased by 20 % . If the width remains the same, what is the new length of the garden?

Answers

Answer:

dfdfg

Step-by-step explanation:gfdgdfg

The area of the garden is increased by 20 % . If the width remains the same, then the new length of the garden is 2.4 yards.

What is Area of Rectangle?

The area of Rectangle is length times of width.

Given that A decorative fence surrounds a rectangular flower garden that is 2 yards long and 3 yards wide

Area = Length × Width

Area=6 yards.

The area of the garden is increased by 20 % .

20/100=0.2

the area would equal 6 (l x w) and 6 increased by 20% equals 7.2.

As the width remains same

so we use 7.2/3 to find the new length

7.2/3=2.4 yards.

Hence, 2.4 yards is the new length of the garden.

To learn more on Area of Rectangle click:

https://brainly.com/question/20693059

#SPJ2

Help me with my homework, please. \
y= -3/4x + 9

Answers

Answer:

x=12

Step-by-step explanation:

hope this helps

help asap for school

Answers

The answer is A for this question

Trigonometry
Pls help

Answers

I hate trigonometry sry bro

Circle A has center of (6, 7) and a radius of 4, and circle B has a center of (2, 4) and a radius of 16. What steps will help show that circle A is similar to circle B?

Translate circle A using the rule (x + 4, y + 3).
Rotate circle A 45° about the center.
Dilate circle A by a scale factor of 4.
Reflect circle A about the origin.

Answers

Answer:

c took quiz

Step-by-step explanation:

Circle A can be made similar to circle B by dilating circle A by scale factor 4.

Circles can be made similar by performing transformations such as dilations, translation, etc.

The given parameters are:

Circle A

[tex](x,y) = (6,7)[/tex] --- center

[tex]r=4[/tex] --- radius

Circle B

[tex](x,y) = (2,4)[/tex] --- center

[tex]r = 16[/tex] --- radius

To do this, we simply make both circles have the same radius.

Given that:

[tex]r_A=4[/tex] --- radius of A

[tex]r_B = 16[/tex] --- radius of B

Dilating the radius of A by 4 will make both circles have the same radius.

i.e.

[tex]R = r_A * 4[/tex]

[tex]R = 4 * 4[/tex]

[tex]R = 16[/tex]

Now, the new radius of A is 16; same as B

Both circles now have the same radius, means that the circles are similar.

Answers

Answer:

137

Step-by-step explanation:

PLS I NEED HELP WITH MY EXAM
a sequence is represented below.
{–5, –25, –125, –625, -3125, ...}
Which recursive notation could be used to represent the sequence?
F. a1 = –5, an = 5an-1
G. a1 = 5, an = –5an–1
H. a1 = –5, an = an-1+ 5
J. a1 = 5, an = an–1 – 5

Answers

Answer:

F. a1 = –5, an = 5an-1

Step-by-step explanation:

a1 = -5 <---- Answer

r = -25/-5 = 5

an = r(an - 1)

an = 5(an - 1) <---- Answer

Hope this helps!

Step-by-step explanation:

If x – 9 is a factor of x2 – 5x – 36, what is the other factor?

Answers

Answer: (x+4)(x−9)

Step-by-step explanation:

Answer:

(X - 9) is one factor

(X + 4) is the other factor

Step-by-step explanation:

You can factor polynomials with guess work or with polynomial division

To factor using guess work search for a number that will multiply with -9 to equal -36 and add with -9 to equal -5.

In order for -9 to add with another number and equal -5 you need to add 4 to it. And because -9 will multiply with 4 to equal -36 as well, 4 is confirmed to be the other factor. You can write out the factor as (x + 4)

the sum of a number and 7 is -12

Answers

Answer:

Please put the rest of the answer

Step-by-step explanation:

Answer: 7?

Step-by-step explanation:

pls help. “Find the Surface Area”

Answers

Answer:

The New Deal was a series of programs, public work projects, financial reforms, and regulations enacted by President Franklin D. Roosevelt in the United States between 1933 and 1939

Write an expression for the total amount Carla has paid after a certain number of months

Answers

Answer:

$25.00+$36.00m

Step-by-step explanation:

Someone help me pls.

Answers

Answer : C

Step-by-step explanation :
Base angles in an isosceles trapezium are equal
m2x =x +27
2x-x=27
x =27

find x of the triangle

Answers

Answer:

The angle is 90 degrees

Step-by-step explanation:

Is that what ur asking?

Answer: 15.199

Step-by-step explanation:

Using the Pythagorean theorem, we know that a²+b²=c²

In this case, we know that c is 16, and that b is 5.

We can rearrange the equation so that it becomes a²=c²-b²

a²=16²-5²

a²=256-25

a²=231

√a²=√231

a=15.199

Suppose you are driving. You notice that after driving for 4 hours, you are 135 miles from Seattle. You continue driving, and calculate that after driving 8 hours you are 255 miles from Seattle. What is your rate? How far do you drive every 9 hours? How far from Seattle are you after driving for 17 hours?

Answers

Answer:

1,423

Step-by-step explanation:

Your average rate is 36.7 miles per hour over nine hours

What is Average speed?

Average speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.

In the first 4 hours, you've averaged 33.75 miles per hour, but this is apparently not sustainable, since at 9 hours you've only averaged 36.7 miles/hour.

You continue driving, and calculate that after driving 8 hours you are 255 miles from Seattle. you've averaged 31.8 miles per hour

So the answer is that your average rate is 36.7 miles per hour over nine hours, although you did manage a faster burst of 50 mph for four hours once.

Learn more about the average speed here :

brainly.com/question/12322912

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Solving an Absolute Value Equation
What is the solution set of -+-=-122
O no solution
8-12
(12)
[-12 12

Answers

Answer:

{-12,12}

Step-by-step explanation:

it looks like that I guess

Find the percent of change. Round to the nearest tenth, if necessary.

In the 2006 season, Tom Brady threw for 3,529 yards. In the 2007 season, he threw for 2,806 yards.

Answers

Answer:

20.487%

Step-by-step explanation:

divide the second number by the first. then do one minus that number

What's 100 divided by 42

Answers

Answer:

Can you help me? It's worth one hundred points. https://brainly.com/question/21042823

Step-by-step explanation:

2.38095238095

Write the following as an inequality.
w is greater than -9 and less than or equal to 5
Use w only once in your inequality.

Answers

Answer:
-9 < w ≤ 5

Explanation:
W is bigger than -9 so the symbol has the bigger end towards the W.
W is also less than or equal to 5 so the smaller end of the sign is towards the W.

Dana is planning to drive 400 miles from
New York to Boston and back. Dana's
hybrid car can travel 50 miles on 1 gallon
of fuel. Biodiesel fuel costs $4.45 per
gallon.
Part A: How many gallons of fuel does
Dana need to purchase for the 400-mile
trip? Explain your reasoning.
Part B: Dana can take a high-speed train
to Boston instead of driving. A round-trip
train ticket costs $95. Is it cheaper for
Dana to take the train or to drive? How
much cheaper? Explain your reasoning.

Answers

Answer:

A. 8 gallons

B. Drive by car is $59.4 cheaper than travel by train

Step-by-step explanation:

According to the scenario, given data are as follows,

Total drive = 400 miles

Total drive per gallon = 50 miles

Fuel cost per gallon = $4.45

A. So, Total fuel required to drive 400 miles can be calculated as follows,

Total fuel required = Total drive ÷ Total drive per gallon

By putting value, we get,

Total fuel required = 400 ÷ 50

= 8 gallons

B. Total cost if drive by car = 8 gallons × $4.45 = $35.6

Cost if travel by train = $95

Hence it is clearly shows that drive by car is much cheaper than travel by train.

Cost saved by travel by car = $95 - $35.6 = $59.4

So, drive by car is $59.4 cheaper than travel by train.

Molly's hair was 20 inches long. Three years later it was 53 inches long. What was the percent increase, to the nearest hundredth, of Molly's hair length.

Answers

Find how much it grew:

53 - 20 = 33 inches.

Divide the amount it grew by the original length

33/20 = 1.65

Subtract 1:

1.65 - 1 = 0.65

Multiply by 100 for percent:

0.65 x 100 = 65%

The percent increase is 65%

What does 31/2 gal equal to in cups

Answers

Answer:

248 cups

Step-by-step explanation:

I hope this helps! have a good day:)

It’s really easy but I don’t know the steps can someone help?

Answers

Answer:

x=0

Step-by-step explanation:

1/2(40+2x)=20

20+x=20

x=0

(I believe that s is the bisector, please correct me if I am wrong)

Find the minimum and maximum possible areas for rectangles with the following measured areas.

12 km × 5 km

A.
51.75 km2, 66 km2

B.
57.5 km2, 68.75 km2

C.
51.75 km2, 68.75 km2

Answers

Answer:

I believe it's B correct me if I'm wrong

Answer:

C. 51.75 km2, 68.75 km2

Step-by-step explanation:

What is angle A sum 1 plz I need this quick

Answers

Answer:

37 degrees

Step-by-step explanation:

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Solve the system by any method. (3x – 4y = -5 (5x + 8y = -1

Answers

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Solve the system by any method.
(3x – 4y = -5
(5x + 8y = -1