What is the solution to the system of equations?
5x – 4y = -2
2x + 4y = 16

Answers

Answer 1

Answer:

x = 2, y = 3

Step-by-step explanation:

5x – 4y = -2

2x + 4y = 16

Solve by elimination. (-4y and +4y gives 0)

7x = 14

x = 2

Substitute 2 in one of the equations in order to find y.

5(2) - 4y = -2

10 - 4y = -2

-4y = -12

y = 3

x = 2, y = 3

hope this helps!! p.s. i really need brainliest :)

Answer 2

Answer:

x = 2, x = 3

Step-by-step explanation:

[tex]\mathrm{Given:}\begin{bmatrix}5x-4y=-2\\ 2x+4y=16\end{bmatrix}[/tex]

[tex]\mathrm{Step\;by\;step\;solving}:[/tex]

[tex]\mathrm{Isolate\;x\;for\;5x-4y=-2:\;x=\frac{-2+4y}{5}}[/tex]

[tex]\mathrm{Then\;substitute\:}x=\frac{-2+4y}{5}[/tex]

[tex]\begin{bmatrix}2\cdot \frac{-2+4y}{5}+4y=16\end{bmatrix}[/tex]

[tex]\mathrm{Simplifying}: \begin{bmatrix}\frac{-4+28y}{5}=16\end{bmatrix}[/tex]

[tex]\mathrm{Next\;Isolate\;y\;for\;\frac{-4+28y}{5}=16}:y=3[/tex]

[tex]\mathrm{Since,\:}x=\frac{-2+4y}{5}[/tex][tex]\mathrm{and\;y\;=\;3}[/tex]

[tex]\mathrm{Then, substitute\:}y=3[/tex]

[tex]\mathrm{So,x=\frac{-2+4\cdot \:3}{5}}[/tex]

[tex]\mathrm{Solving:\;x=2}[/tex]

[tex]\mathrm{Hence,the\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=2,x=3[/tex]

~Kavinsky~


Related Questions

Which value is the closest estimate of this product? 895x7

A. 5,600
B. 5,900
C. 6,300
D. 6,600​

Answers

The value is the closest estimate of this product is 6,300.

What are the rules for rounding to the nearest hundred?

Rules for Rounding Numbers to Nearest 100. Rule 1: While round off to nearest 100, if the digit in the tens place is between 0 to 4 or <5, then the tens place is replaced by 0. Rule 2: If the digit in the unit’s place is equal to 5 or greater than 5, then the tens place is replaced by 0 and the hundreds place is increased by 1.

So 6,265 is between 6,200 and 6,300

6,265 rounded to the nearest hundred is 6,300

Therefore, The value is the closest estimate of this product is 6,300.

Learn more about rounding here:

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Pls help asap

Pls show ur work pls

Answers

Answer:

6.08

Step-by-step explanation:

For four brushes its 16 and for two rollers and trays its 16. Add that with the tax and you’ll get 33.92. Subtract 40 with the overall cost to get 6.08

Answer:

$6.08

Step-by-step explanation:

To find the change you must add together the cost of all the items and the tax. then subtract that by 40 dollars

So . .

Painbrushes cost $4.00

$4.00 × $4.00 = $16.00

Rollers cost $8.00

$8.00 × 2 = $16.00

Add them

$16.00 + $16.00 = $32.00Then Add $1.92 to $32.00$33.92

Then Subtract that from $40.00

So. .

$40.00 - $33.92

= $6.08

Como puedo encontrar el área de este prisma?

Answers

Answer:

To find the area of a rectangle or a square you need to multiply the length and the width of a rectangle or a square. Area, A, is x times y.

W x L

What is the solution to the system of equations?

Answers

Answer: (8, -4)

Step-by-step explanation:

How would adding a French class change the tree diagram above? How would that change the number of possible outcomes?

Answers

no pictures show need to add some

Please Answer This Ixl Asap!!!

Answers

Answer:

EH = 120 degrees

Step-by-step explanation:

angles in a circle add up to 360 degrees

arc EF + arc FG + arc GH + arch EH = 360

95 + 90 + 55 + EH = 360

240 + EH = 360

subtract 240 from both sides to isolate EH

EH = 120 degrees

Laura tried to shade all the multiples of 12 on the hundred chart.
A Laura shaded 12,but multiples are always greater than the number.
B Laura shaded six multiples of 12,but she left out some.
C Laura did not make a mistake.
D Laura shaded the factors instead of the multiples of 12.

Answers

Answer:

D Laura shaded the factors instead of the multipls of 12

Step-by-step explanation:

The factors of 12 are 1, 2, 3, 4, 6, and 12, because each of those divides 12 without leaving a remainder

The multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144

Evaluate the expression 11²

Answers

Answer:

121

Step-by-step explanation:

hope it will help you

The answer is 121

The power of two means you just multiply that number by itself twice. Meaning you would do 11x11, which is 121.

Hope that helped!

the product of a number n and 2 is 2 what is the equation

Answers

Answer:

n*2=2

Step-by-step explanation:

Product signifies multiplying two or more numbers together. In this instance, it is n and 2. Then it says it is equal to 2, so 2 goes on the other side of the equal sign.

How to find slope and slope intercept form and slopes of perpendicular and parallel and point-slope form

Answers

Answer:

Parallel lines have the same slope, so in y = mx +b, m would have the same value for both.

In perpendicular lines, the value of the m is inversed. Because the m is over an invisible one in this case, m/1(x) becomes -1/m(x), making the equation y = 1/m(x) + b

Point-slope form is (y - y1) = m (x - x1), meaning that the first term of y subtracted from the zeroth term of y is equivalent to m multiplied by the value of the first term of x from the zeroth term of x

Step-by-step explanation:

Parallel lines have the same slope, so in y = mx +b, m would have the same value for both.

In perpendicular lines, the value of the m is inversed. Because the m is over an invisible one in this case, m/1(x) becomes -1/m(x), making the equation y = 1/m(x) + b

Point-slope form is (y - y1) = m (x - x1), meaning that the first term of y subtracted from the zeroth term of y is equivalent to m multiplied by the value of the first term of x from the zeroth term of x

HOPE THIS HELPS

Trapezoid PQRS is the image of a trapezoid ABCD after a translation right 9 and up 2. They result in congruent figures.

Match the corresponding parts:
AD PS
DC SR
B PSR
D PQR

Answers

The correct match for the sides of the trapezoid will be AD=PS, AB=PQ, BC=QR, AD=PS.

What is translation?

The process of changing the location of the image on the coordinate system will be known as the translation.

Here we have the Trapezoid ABCD  after a translation right 9 and up 2.

They result in congruent figures

The Match of the corresponding parts are given as:

[tex]\rm AD=PS\\\\AB=PQ,\\ \\BC=QR,\\ \\AD=PS.[/tex]

Hence the correct match for the sides of the trapezoid will be AD=PS, AB=PQ, BC=QR, AD=PS.

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Gary is looking over his receipts from his trip to europe. when he was in germany, he exchanged us dollars for euros at a rate of 1:0.7716, and when he was in poland, he exchanged euros for polish zloty at a rate of 1:4.0518. to four decimal places, what was the exchange rate of us dollars to polish zloty? a. 1:0.3199 b. 1:3.1264 c. 1:4.8234 d. 1:5.2512

Answers

The exchange rate of US dollars to Polish zloty is 1:3.1264. The correct option is b. 1:3.1264

Calculating exchange rates

From the question, we are to determine the exchange rate of US dollars to Polish zloty

From the given information,

Gary exchanged US dollars for Euros at a rate of 1:0.7716

That is,

1 US dollar = 0.7716 Euros

Also, he exchanged Euros for Polish zloty at a rate of 1:4.0518

That is,

1 Euro = 4.0518 Polish zloty

Now, we will find the value of 0.7716 Euros in Polish zloty

Since 1 Euro = 4.0518 Polish zloty

Then,

0.7716 Euro = 0.7716 × 4.0518 Polish zloty

∴ 0.7716 Euro = 3.1264 Polish zloty

But

1 US dollar = 0.7716 Euros

Therefore,

1 US dollar = 3.1264 Polish zloty

Hence, the exchange rate of US dollars to Polish zloty is 1:3.1264. The correct option is b. 1:3.1264

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Use circle E to answer the following questions

Answers

Based on the circle theorems, the measures in circle E are:

m(AB) = 40°

m∠AEB = 40°

m∠ACB = 40°

m(ADB) = 320°

What are the Circle Theorems?

The theorems are:

Measure of the central angle = measure of intercepted arcMeasure of inscribed angle =1/2( measure of intercepted arc)Measure of inscribed angles with same intercepted arcs are congruent.

Using the circle theorems, given the inscribed angle, m∠ADB = 20°, we have:

m(AB) = 2(m∠ADB) = 2(20) = 40°

m∠AEB = m(AB) = 40°

m∠ACB = m∠AEB = m(AB) = 40°

m(ADB) = 360° - 40° = 320°

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f(x) = 11x and g(x) = x^2-6x+3 find the function (f•g)(4)

Answers

Answer:

-220

Step-by-step explanation:

(11×4)×(4²-6×4+3) (calculate the power)

(11×4)× (16-16×4+3)

44×(16-24+3)

44×(-5)

-44×5

=-220

can you mark me as the brainliest?

3. A bag of
Jelly beans contains 12 red, 17 white and 14 black jelly beans.

b) if 5 jelly beans are chosen at random, determine the probability that 2 will be white and 3 will
be black

Answers

In Total there are 43 jelly beans, which means that will be our denomintor.(sorry if i spelled that wrong)

12/43 are red      17/43 are white        14/43 are black = 43/43

27.9% of 43       +   39.5% of 43       +   32.6% are black = 100%

There is the highest chance that the jelly beans chosen will be white, with black following. 2 white & 3 black would be 5/43 which is 11.6% of the jelly beans in total. Of this chance there is about a 25% chance that white will be chose & 27-30% chance that black will be chosen.

I HOPE THIS HELPS <3!! & good luck.

Strawberries cost $2.13 per pound and Annie purchased 1.2 pounds. How much did she pay for strawberries if her answer is rounded to the nearest cent?

Answers

Answer:

A. $2.78Step-by-step explanation:You would multiply the cost per pound, $2.14, by the amount of pounds bought, 1.3. Then round to the nearest hundredth.2.14 x 1.3 = 2.7822.782 rounded to the nearest hundredth is $2.78

Step-by-step explanation:

In one week my brother's daily expense for his lunch are Birr 54, Birr 61, Birr 42, Birr 63, Birr 42, Birr 56, and Birr 58. what
is his mean daily expense? ​

Answers

Answer:

The mean expense is approximately equal to 53.714

Step-by-step explanation:

When you are trying to find the mean of a number set, you are trying to find the average of the stats. As such, use the formula Sum of the Numbers / Total Number of Values.

In this case, we are adding 54 + 61 + 42 + 63 + 42 + 56 + 58, which is equal to 376. We are then dividing this by 7, which is equal to about 53.714.

Algebra word problem.
Please help I’m really stuck. Will give brainlist!!!

Answers

Answer:

George = 10 + 0.5x

Carlee = 13 + 0.25x

Step-by-step explanation:

Let x be the amount they manufacture, each time they make an object, their pay will increase by the set amount meanwhile the 10 and 13 are a set amount of pay that they will receive.

Over a period of 12 hours, the temperature dropped 60°F. What was the average change in temperature in one hour?​

Answers

Answer:

I think 40 I could be wrong

Answer:

5 degrees dropped per hrhour

Step-by-step explanation:

60/12 is equal to 5/1.

This is just a matter of simplifying.

I need help asap with this problem

Answers

Answer:

  7.07 years

Step-by-step explanation:

The standard deviation of a population is easily calculated by a spreadsheet or calculator. Care must be taken to use the formula for population standard deviation, rather than the formula that assumes the values are a sample.

__

The attached calculator shows the standard deviation is about 7.07 years.

_____

Additional comment

The population standard deviation is the square root of the variance. The variance is the mean of the squares of the values, less the square of the mean of the values. The second attachment shows the calculation done this way.

The units of standard deviation are the same as the units of the members of the population. Here, that is "years."

what is 10 x 10 to the power 8

Answers

Your answer is

1,000,000,000 (one billion)

Hope this helps.


A a right triangle has a hypotenuse length of 21 meters. It has
one leg with a length of 15 meters. What is the length of the other leg?
Express your answer as a square root.

Answers

Answer:

√216 meters

Step-by-step explanation:

» Concepts

The Pythagorean theorem states that in a right triangle, the sum of the squares of the legs is equal to the length of the hypotenuse squared. It's represented as an equation of a² + b² = c², where a & b are the legs, and c is the hypotenuse

» Application

To find the length of the other leg, we have to plug in the values of b and c into the equation. B would be 15 meters, and c would 21 meters.

» Solution

Step 1: Simplify both sides of the equation.

[tex]a^2+15^2+21^2[/tex] [tex]a^2+225=441[/tex]

Step 2: Subtract 225 from both sides.

[tex]a^2+225-225=441-225[/tex] [tex]a^2=216[/tex]

Step 3: Take square root of both sides.

[tex]\sqrt{a^2} = \sqrt{216}[/tex] [tex]a = \sqrt{216}[/tex]

Therefore, the length of the other leg is √216 meters.

pls answer the question !!

Answers

but i’m telling you this app called “guathmath” would like fr awnser that and get it right use that app all the time!!

Which prism has a volume of 5 cubic units?

Answers

Answer:

1  1/4 units by

4 units by

1 unit

Step-by-step explanation:

5=1 1/4*4*1=1.25*4*1

so  1 and one fourth units by 4 units by 1  unit

4(4b-8)-3/8
Please help i have no idea what to do

Answers

Answer:

[tex]4(4b - 8) - \frac{3}{8} \\ 16b - 32 - \frac{3}{4} \\ \frac{64b - 128 - 3}{8} \\ \frac{64b - 131}{8} [/tex]

hope this will help you

Find the area of this triangle.
6 ft
10 ft

Answers

The area of this figure would be 30 ft^2 hope this helped!!

Which equation represents the line that passes through the points (-4, 4) and (8, -2) ?

Answers

Answer:

There fore the answer is  y=(-1/2)x +2

Step-by-step explanation:

Find straight line question passing through the points (-4,4) and (8,2)

Use formula (y-y1) (x2-X1) = (y2-V1) (x-x1)

(y-Y1) (x2-X1) = (y2-Y1)(x-x1)

Substitute points in formula

(y-4)(8+4) = (-2-4) (x+4)

(y-4)12=-6(x+4)

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

y=(-1/2)x-2+4

y=(-1/2)x +2

Maria plans to make a triangular center island along the road. The said plan is illustrated at the image attached. She was able to put a fence around the lot which measures LT = 3m and OL = 3m. The said land area is an example of an oblique triangle which does not contain any right angle. If m∠T = 70 and m∠L = 65, what could be the measurement of ∠O and TO (round off to the nearest whole number)?

WITH SOLUTION!!!​

Answers

To find ∠O

The sum of interior angles of triangle sum up to 180°

Hence,

∠O + 70° + 65° = 180°

∠O = 180° - 65° - 70°

∠O = 45°

∴ The angle ∠O is 45 degrees.

To find length of TO

Use cosine rule: a² = b² + c² - 2bc cos(A)

Hence,

TO² = 3² + 3² - 2(3)(3) cos(65)

TO² = 10.39287129

To = √10.4

TO = 3.22 ≈ 3 meters (rounded to nearest whole number)

∴ The length of TO is 3 meters.

If u want u can answer 26 and 27 but if not just answer 26

Answers

26 is c

Step-by-step explanation:

Answer:

26 is Clay types 2 more words per minute than marsha. (c)

Step-by-step
if you study the number line correctly than you will find out your answer to number 26

a date in march is chosen at random, then the spinner below is spun once. find the probability of an odd number, then blue?

Answers

Answer:

The probability of an odd number is 17/31 and the probabilty of blue is 1/3

Step-by-step explanation:

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