I need to solve these two equations using either substitution or elimination
1/4x - 1/2 = 5
3x + 2/3y = -40

Answers

Answer 1

Answer:

y = -15

x = -10

Step-by-step explanation:

1/4x - 1/2 = 5 (1)

3x + 2/3y = -40 (2)

Multiply (1) by 4

1/4x - 1/2 = 5

1/4x * 4 - 1/2y * 4 = 5 * 4

4/4x - 4/2y = 20

x - 2y = 20 (3)

Multiply (2) by 3

3x + 2/3y = -40 (2)

3x * 3 + 2/3y * 3 = -40 * 3

9x + 6/3y = -120

9x + 2y = -120 (4)

x - 2y = 20 (3)

9x + 2y = -120 (4)

Using elimination method, Add (3) and (4)

9x + x = -120 + 20

10x = -100

x = -100/10

x = -10

Substitute x = -10 into (3)

x - 2y = 20 (3)

-10 - 2y = 20

-2y = 20 + 10

-2y = 30

y = 30/-2

y = -15

y = -15

x = -10


Related Questions

5738 divided by 8 (i only need the remainder)

Answers

Answer:

717.25 that's the answer

5738 divided by 8 but you only want the R and the R is 2869

3/3 x 1/3 will have a poduct less than 1/3/

Answers

Answer:

False

Step-by-step explanation:

3 over 3 is equal to 1. So 1 multiplied to 1 over 3 would equal 1/3.

Please help!!!
i don’t understand this

Answers

Answer:

B. is your answer.

Step-by-step explanation:

plssss helppp 29 REWARD BRAINLIEST

Answers

Answer: 1. -5 because what you do on the left you do on the right

2. i believe it’s a disjuction bc its true if at least one of the statements that form it is true.

Steve has a hammer that is 0.29 meters long. Which expression is equal to the length, in meters, of Steve's hammer?

Answers

Answer:

x = 0.29 m

Step-by-step explanation:

Given :

The length of the hammer is = 0.29 m

The hammer is a tool that may be used in various operation or work by mechanics, plumbers, or masonries and even by normal people.

So let the length of the hammer be x.

The length of the hammer is expressed in meters or inches or centimeters.

Therefore, the expression of length of the hammer is expressed as x = 0.29 m.

Hurry plzzzzzz help

Answers

Answer:

8. 15

10. 90

12. 36

Step-by-step explanation:

8.

The mean of the 5 data is 51.

(55 + 60 + 35 + 90 + x) ÷5 = 51

(240 + x) ÷5 = 51

240 + x = 255

x = 15

10.

The mean of the 5 data is 127.

(100 + 112 + 98 + 235 + x) ÷5 = 127

(545 + x) ÷5 = 127

545 + x = 635

x = 90

12.

The mean of the 5 data is 40.

(34 + 56 + 45 + 29 + x) ÷5 = 40

(164 + x) ÷5 = 40

164 + x = 200

x = 36

Rationalize the denominator
7√5 - 5√2
---------------
5√2 - 2√5

Answers

Answer:

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

=> 5√3-5√2 × 5√3+5√2

=> 25×3 - 25×2 [(a-b) (a+b) = a²-b²]

=> 75 - 50=> 25

A container in the shape of a square-based prism has a volume of 2744 cm'. What dimensions give the
minimum surface area? Calculate the minimum surface area.

Answers

Answer:

The dimensions that give the minimum surface area are:

Length = 14cm

width = 14cm

height = 14cm

And the minimum surface is:

S = 1,176 cm^2

Step-by-step explanation:

A regular rectangular prism has the measures: length L, width W and height H.

The volume of this prism is:

V = L*W*H

The surface of this prism is:

S = 2*(L*W + H*L + H*W)

If the base of the prism is a square, then we have L = W

Then the equations become:

V = L*L*H = L^2*H

S = 2*(L^2 + 2*H*L)

We know that the volume of the figure is 2744 cm^3

Then:

V = 2744 cm^3 = H*(L^2)

In this equation, we can isolate H.

H = (2744 cm^3)/(L^2)

Now we can replace this on the surface equation:

S = 2*(L^2 + 2*L* (2744 cm^3)/(L^2))

S = 2*L^2 + 4(2744 cm^3)/L

Now we want to minimize the surface area, then we need to find the zeros of the first derivative of S.

S' = 2*(2*L) - 4*(2744 cm^3)/L^2

This is equal to zero when:

0 = 2*(2*L) - 4*(2744 cm^3)/L^2

0 = 4*L*L^2 - 4*(2744 cm^3)

4*(2744 cm^3) = 4*L^3

2744 cm^3 = L^3

∛(2744 cm^3) = L = 14cm

Then the length of the base that minimizes the surface is L = 14.

Then we have:

H = (2744 cm^3)/(L^2) = (2744 cm^3)/(14cm)^2 = 14cm

Then the surface is:

S = 2*(L^2 + 2*L*H) = 2*( (14cm)^2 + 2*(14cm)*(14cm)) = 1,176 cm^2

The area of a square is 49 square inches or less. Which set describes the domain for s, the
length of one side of the square?

Answers

Step-by-step explanation:

Any positive number can. be a side length. It cannot pass 7 because a square with 49 sqr lnches as a area has side lengths with the measures of 7.

[tex]0 \leqslant x \leqslant 7[/tex]

I WILL GIVE BRAINLIEST PLEASE HELP FULLY (pt 6)

6. Julie bought a bond with a 5.2% coupon at its face value of $1000 and held it for 15 years, until it reached maturity. The length of the period for the bond was 6 months. Provide Julie with some assistance in determining how she made out on her investment. (5 points: Part I – 1 point; Part II – 1 point; Part III – 1 point; Part IV – 1 point; Part V – 1 point)
Part I: How many of the bond's periods were there in 1 year?

Part II: What was the periodic interest rate of the bond?

Part III: How much did the bond earn per period?

Part IV: For how many periods did Julie hold the bond?

Part V: What were Julie's total earnings on the bond?

Answers

Answer:

Part I: How many of the bond's periods were there in 1 year?

2 periods.

Part II: What was the periodic interest rate of the bond?

2.6%

Part III: How much did the bond earn per period?

$26

Part IV: For how many periods did Julie hold the bond?

30 periods

Part V: What were Julie's total earnings on the bond?

$1560

8. If v2 = u2+2gs, find the value of s when v = 25,
u= 12 and g = 10.

Answers

Answer:

s = 24.05

Step-by-step explanation:

Given

v² = u² + 2gs ← substitute v = 25, u = 12, g = 10

25² = 12² + (2 × 10 × s)

625 = 144 + 20s ( subtract 144 from both sides )

481 = 20s ( divide both sides by 20 )

24.05 = s

SOMEONE PLZ HELP ME QUICKKK
Use the following data set to answer the questions below.

8, 15, 17, 19, 21, 82

1. What is the mean?
2. What is the median?
3. Is there an outlier? If so, what is the outlier?
4. What is the mean without the outlier?

Answers

Answer:

1.The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

2.The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. ... If there is an odd amount of numbers, the median value is the number that is in the middle, with the same amount of numbers below and above.

3.There are no outliers. Explanation: An observation is an outlier if it falls more than above the upper quartile or more than below the lower quartile.

4.20. The "average" you're talking about is actually called the "mean". It's not exactly answering your question, but a different statistic which is not affected by outliers is the median, that is, the middle number. {90,89,92,91,5} mean: 73.4 {90,89,92,91,5} median: 90.

Step-by-step explanation:

brainless pls

Help ME DUE in 10 mins WILL GIVE BRAINIEST IF HELP!!! SHOULD BE EASY FOR SOME

Answers

Answer:

-9n - 3

Step-by-step explanation:

PLZZZZZ HELP ILL GIVE BRAINLIEST

Answers

Answer:

Hello! Your answer would be, 199.

Step-by-step explanation:

Hope I helped! Brainiest plz!♥ Have a nice morning! Hope you make a 100%! -Abby

What is closure property ?

Answers

Answer:

In mathematics, a set is closed under an operation if performing that operation on members of the set always produces a member of that set. For example, the positive integers are closed under addition, but not under subtraction: 1 − 2 is not a positive integer even though both 1 and 2 are positive integers.

Step-by-step explanation:

I hope this helps you out.

HELP ME Using the following equation, complete the square and find the center and radius of the circle:
x2 + y2 + 4x − 6y − 12 = 0

You must show all work and calculations to receive credit.

Answers

Answer: [tex](-2,3)[/tex], [tex]r=5\ \text{units}[/tex]

Step-by-step explanation:

Given

the equation is [tex]x^2+y^2+4x-6y-12=0[/tex]

completing the square

[tex]\Rightarrow (x^2+2\times 2\times x+4-4)+(y^2-2\times3\times y+9-9)-12=0\\\Rightarrow (x^2+2\times 2\times x+4)+(y^2-2\times3\times y+9)-12-4-9=0\\\Rightarrow (x+2)^2+(y-3)^2=25\\\Rightarrow (x+2)^2+(y-3)^2=5^2\\\Rightarrow (x-(-2))^2+(y-3)^2=5^2[/tex]

Thus, the center of the circle is [tex](-2,3)[/tex] and radius is [tex]r=5\ \text{units}[/tex]

MAAP REVIEW TEST 1 ATTEMPT Section 1 21 of 6821 of 68 Items 53:53 / 02:20:00 Item 21 Mrs. Peele has 1114 pounds of cookie dough. A batch of cookies requires 212 pounds of cookie dough. How many batches of cookies can Mrs. Peele make? 334 batches 3 and 3 fourths, [if gte msEquation 12]>34 412 batches 4 and 1 half, [if gte msEquation 12]>12 834 batches 8 and 3 fourths, [if gte msEquation 12]>34 2818 batches 28 and 1 eighth, [if gte msEquation 12]>18

Answers

Answer:

4 1/2

Step-by-step explanation:

Mrs. Peele has 11 1/4 pounds of cookie dough. A batch of cookies requires 2 1/2 pounds of cookie dough. How many batches of cookies can Mrs. Peele make?

Number of batches = total pounds of Dough Mrs Peele has / total dough required to make one batch

11 1/4 ÷ 2 1/2

convert the mixed fractions to improper fraction

to convert to improper fraction, take the following steps :  

1. Multiply the whole number  by the denominator

2. Add the numerator to the answer gotten in the previous step

3. divide the number gotten in the previous step by the denominator  

45/ 4  ÷ 5/2

45 / 4 x 2/5 = 9/2 = 4 1/2

Todd drove from baltimore, Md to new york city a distance of 192 miles. How many feet did todd drive??

Answers

Answer:

1.014e+6

Step-by-step explanation:

can't explain, I would if I could

Answer:

1,013,760 Feet

Step-by-step explanation:

A mile is equal to 5,280 feet

Give me Brainllest plz

Can someone please help me ?

Answers

It should be (-4, 0)

Im 75% sure that’s the answer...

Emily works at a music store where she repairs guitars. She keeps track of the types of guitars she's fixed and the types of repairs she's made. Her records appear in the table below.
Calculate the following percentages based on the frequency table.
Round to the nearest hundredth of a percent.

Answers

Answer:

1. 31.3%

2. 34.35%

3.62.6%

Step-by-step explanation:

There were 131 acoustic guitars, and 41 of them needed neck repair.

41/131 = 0.3130 = 31.3%

There were 262 total guitars serviced by Emely. 60 of them were acoustic and needed a string repaired, and 30 of them ere acoustic and needed repair, so 90 of them were acoustic and did not need neck repair.

90/262 = 0.3435 = 34.35%

There were 131 electric guitars. 48 of them had a broken string and 34 of them needed body repairs. So 82 of them needed either string or body repairs.

82/131 = 0.6260 = 62.6%

You went to the mall with $120 and spent $74. What percent was not spent?

Answers

Answer:

38.33

Step-by-step explanation:

Given: Total amount = 120, Amount used = 74

To find: percent that was not spent

Solution: Firstly, find how much is 74 out of 120. To find the percentage of a number when it is in decimal form, you just need to multiply the decimal number by 100. For this case, to convert 74 to a percentage, 74 x 100 = ...61.67%

Then, 100% - 61.67 = 38.33

The dimensions of a rectangular prism are 5 cm, 5 cm, and 2 cm.
Determine the surface area.
A. 50 cm?
B. 25 cm2
C. 60 cm2
D. 120 cm2
E. 90 cm2

ANSWER QUICK PLEASE

Answers

I think the answer is E. 90cm2

I need help plsss anyone!! At least answer one of them!! U get points

Answers

what is the question.......

what is 69x420+77-1x44

Answers

Answer:

29013

Step-by-step explanation:

Do PEMDAS.  Multiply 69 and 420 and 1 and 44.  Then you will get 28980+77-44.  Then add and subtract from there.  Answer is 29,013.

The picture is attached

Answers

Answer:

Step-by-step explanation:

A)

3x+1

B)

2Cos(2x-1)

Find the radius....

Help asap

Answers

Answer: the radius would be B

What equation does this graph show?

Answers

Answer: y=1/2x+2

(I think?)

Answer:

y = 1/2x + 2

Step-by-step explanation:

y = mx + b is the format you use.

m = slope (rise over run)

b = y - intercept

please help me out :))

Answers

Answer:

144

Step-by-step explanation:

It rotates out of 360 degrees, and since it is a pentagon that rotates from two of its vertices, then 360/5 would give us the amount it is rotating from one vertice. So 72. Then multiply it by two because you are moving from e to b.

144

Find the Area of the trapezoid.

A. 56
B. 28
C. 49
D. 35

Answers

Answer: b

Step-by-step explanation:

"Two vehicles each travelled 200 kilometers in 3 hours, but ended up being 400 kilometers apart. How did this occur?" what kinda math do I need to do to find the answer?

Answers

Answer:

Direction of travel.

Step-by-step explanation:

Given that two vehicles traveled 200 km in 3 hours ;

Distance apart after 3 hours = 400 km

A logical solution to this final distance between the two cars can be explained by their direction of travel.

Since the Cars both covered the same distance over the same period of time, the both cars must have started from a common point and traveled in opposite direction.

Meaning ;

Car 1 traveled 200 km in a certain direction

Car 2 traveled 200km in the opposite direction

Hence, distance between the cars will be :

Distance covered by car 1 + distance covered by car 2

200km + 200km = 400km

Other Questions
Knowledge is power, I swear I'm a witness, I know that I'm gifted I won't go too deep 'cause I'm scared they'll get me Ain't scared to admit it, some s hit I can't mention It's people who can, well, here's the chance I won't take the stand, but I'll take a stand for what I believe Must not be breathing the air that I breathe You know that the way that I bleed, you can bleed I never been a fan of police But my neighborhood know I try to keep peace So it's only right that I get in the streets March for a reason, not just on GP Our people died for us to be free F uck do you mean? This was a dream Now we got the power that we need to have They don't want us with it and that's why they mad, yeah It's bigger than black and white It's a problem with the whole way of life It can't change overnight But we gotta start somewhere Might as well gon' 'head start here We done had a hell of a year I'ma make it count while I'm here God is the only man I fear answer for 30 points and brainilest answer choices : 24.81 , $26.48 , 3.83 , 0.62 , $7.61 , $7.60 , $60.48 , $60.47 , 3.85 , 24.79 , $7.75 , 0.61 , $26.47 , 0.66 , 8.33 , $0.95 which example describes a primary source?A A painting of Charlemagne made by a Renaissance artist in the15th centuryB. A biography of Charlemagne wien by his friend and attendantEinhard in the early 9th centuryA movie about the lives of Charlemagne and his friend andamendant EinhardAn article discussing the political actions of Charlemagne writtenby an American professorNO FILES A or C Scale factor of 3 and 6 For any right triangle, the side lengths of the triangle can be put in the equation a2 + b2 = c2 where a, b, and c are the side lengths. A triangle with the side lengths 3 inches, 4 inches, and 5 inches is a right triangle. Which way(s) can you substitute the values into the equation to make it true? Which variable has to match the longest side length? Why? What is 50% of 40 Thank you find the corret measure of 6 what does the number 20 means in spanish? 1. Write the point-slope form of the equation of the line with a slope of 2 thatgoes through the point (4,-4). Please help me Por favor aydenme English Pythagoras, the Greek philosopher and mathematician, lived between 528 BC and 496 AD.At what age did Pythagoras die?How many years ago did he die? One person lived 52 years. If he was born in 1422 AD, what year did he die?A war started in 127 BC. If the war lasted 200 years, in what year did it end?It takes 5,000 years for a comet to pass close to our planet's orbit again. It visited our planet for the last time in the year 2,850 BC.In what year will said comet be close to us again? Espaol Pitagoras, el filosofo y matematico griego, vivio entre los aos 528 a.c y el 496 d.c. A que edad murio Pitagoras? Cuantos aos hace que murio?Una persona vivio 52 aos. Si nacio en el 1422 d.c en que ao murio? Una guerra comenzo en el ao 127 a.c. Si la guerra duro 200 aos, en que ao termino? Una cometa tarda 5,000 aos en volver a pasar cerca de la orbita de nuestro planeta. Este visito nuestro planeta por ultima vez en el ao 2,850 a.c. En que ao dicho cometa estara cercana a nosotros? can someone help me Do you think there are enough laws set in place to prevent distracted driving? (texting and driving, et cetera.)(for more info on distracted driving, look up the story about teenage Alex Brown and her accident.) I NEED HELP PLSWhich four countries controlled the most territory around the world? PLEASEEEEE HELPPPPPPP!!!!! In the heading of a cover letter, which of the following formats should be used for the date?A.11/10/15B.Nov. 10, 2015C.November 10, 2015D.11.10.15 What are two partial products you would add to find 21 x 509? Can someone help me with these questions. Find the probability of them all. They ARE NOT answer choices they are QUESTIONS. I will report you if you do not follow directions Write about a angelfish drawing if you drawn one before Solve for the missing side of this right triangle. 24 mi16 mi. I need help please.........