The sum of 5 times a larger number and twice a smaller is 5. The difference of 4 times the larger and the smaller number is 4. Find the numbers.

Answers

Answer 1

Answer:

1 and 0

Step-by-step explanation:

Let's call the smaller number x and the larger number y.

This means 5y+2x=5.

Also, 4y-x=4.

This is a system of equations. There are two main ways two solve this.

Method 1: Substitution

5y+2x=5

4y-x=4

Solve for one of the variables, then substitute it back into one of the equations to solve for the other variable.

I will take 4y-x=4 and solve for x.

4y=4+x

x=4y-4

Then substitute for x in the other equation and solve for y.

5y+2x=5

5y+2(4y-4)=5

5y+8y-8=5

13y=13

y=1

Now we can go back to our equation for x and substitute for y.

x=4y-4

x=4(1)-4=0

y, the larger number, is 1 and

x, the smaller number, is 0

Method 2: Elimination

5y+2x=5

4y-x=4

Change the equations so that the coefficient of one of the variables in an equation is opposite the one in the other equation. Then add the equations and solve for each variable.

If I multiply both sides of the second equation, 4y-x=4, by 2, the coefficient of x will become -2. In the first equation, the coefficient is 2, so they will become opposites.

4y-x=4

becomes

8y-2x=8

Now we have 5y+2x=5 and 8y-2x=8.

Add the sides of both equations to cancel the x values.

5y+2x+8y-2x=5+8

13y=13

y=1

like last time, we can substitute for y in any of the original equations to get x.

5y+2x=5

5(1)+2x=5

5+2x=5

2x=0

x=0

y, the larger number, is 1 and

x, the smaller number, is 0


Related Questions

Round 75 to the nearest hundredth

Answers

Answer:

Hundredth? Hundredth is for decimals. If you meant to the nearest Hundred, then it's 100.

Step-by-step explanation:

If you actually meant hundredths though, then it would be 75, because 75 doesn't have any decimals

I need help with this ASAP!!

Answers

9514 1404 393

Answer:

  (b)  g, h, f

Step-by-step explanation:

The larger the magnitude of the vertical scale factor, the quicker the graph takes on higher values. That makes its appearance narrower.

Here, you want to list the functions in decreasing order of vertical scale factor:

  g(x) . . . scale factor 4

  h(x) . . . scale factor 2

  f(x) . . . scale factor 1/3

Marking brainliest!!

Was the KKK prominent people ?

Answers

Well it depends on how you define prominent. Their actions made them notorious in history books and everyone feared them in the Jim Crow era. So yes, they were prominent but more notorious.
Agree with first answer not good ppl in the least but we’re indeed quite prominent I put the def below for u if it helps.

Prominent definition; important/famous

They were definitely important and famous, just not in the best light ya feel me?

Just need a lil help kind of stucc .

Answers

Answer:

Scale Factor

Step-by-step explanation:

Sorry if im wrong. I just kinda tried :p

find the solution of given expression !!

[tex] \sqrt{36 \times 4} [/tex]

Answers

[tex]\huge{ \mathfrak{  \underline{ Answer }\:  \:  ✓ }}[/tex]

Let's Solve :

[tex] \sqrt{36 \times 4} [/tex]

[tex] \sqrt{2 \times 2 \times 3 \times 3 \times 2 \times 2} [/tex]

[tex]2 \times 3 \times 2[/tex]

[tex]12[/tex]

Therefore, the correct answer is 12

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

help
In the Line Plot above, what number is the outlier in the data points?

Answers

the outlier of the data plot is 13

Find the area of a square

Answers

Answer:

Step-by-step explanation:

area =l^2

=7^2

=49 km^2

Austen needs to buy a bathroom mirror that is 2 feet wide and 3 feet long. If the mirror
sells for $5.00 per square foot, what will the total cost of the mirror be?

Answers

Question :-

Austen needs to buy a bathroom mirror that is 2 feet wide and 3 feet long. If the mirror sells for $5.00 per square foot, what will the total cost of the mirror be?

____________________

Solution :-

Given Information :-

Length of the mirror Austen needs to buy ➢ 3 ftWidth of the mirror Austen needs to buy ➢ 2 ftCost of mirror per square foot ➢ $5.00

To Find :-

Total cost of the mirror Austen needs to buy.

Formula Used :-

Area of Mirror = Length × Width Total cost of mirror = Area of mirror × Cost of mirror per square foot

Calculation :-

Area of mirror :-

Substituting the values given in the 1st formula, We get,

⇒ Area of mirror = ( 3 × 2 ) ft²

Area of mirror = 6 ft²

Now finding the total cost of mirror,

Substituting the values calculated above in the 2nd formula, We get

⇒ Total Cost of mirror = $ ( 6 × 5.00 )

Total Cost of mirror = $30

___________________

Final Answer :-

Total cost of the mirror Austen needs to buy will be $30

____________________

plz help me i will give 50 points,

Answers

159,159,159,160,161,162,166,167,168,192

What is the term of the highest degree in the expression 3x2y-5xy7+8x4y5-6xy

Answers

Answer:

seems hard

Step-by-step explanation:

YEEEEET IT AWAY

Write the equation of a line that is parallel to y=−5/4x+7
and that passes through the point (-4,1)

Answers

Answer:

y=-5/4x-4.

Step-by-step explanation:

parallel lines have to have the same slope so they don't intersect each other

original equation with the same slope and rewrite it using point slope form:

y-y1=-5/4(x-x1) now Substitute the point(-4,1)

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

y-1=-5/4(x+4)

Now we can distribute the -5/4 and add 1 to the right to get our final slope-intercept form:

y-1=-5/4x-5

y=-5/4x-4.

The parallel line of y=-5/4x+7 that passes through point (-4,1) is y=-5/4x-4.

Answer: y=-5/4x-4.

Step-by-step explanation:

What is the value of h?

Answers

Answer:

6.

Step-by-step explanation:

626×10−34

Answer:

h= 5.7

Step-by-step explanation:

trust me pls ill show work if u need me to

1 Mr. Ruiz made a map of his ranch on the grid shown below.
Cattle
Horses
Sheep
What percent of the ranch is used for sheep?
A 33%
B 25%
C 20%
D 16%

Answers

Answer: C, 20%

Hope this helps

Find the missing side. Round to
the nearest tenth.
10
33°
Х
X = ?

Answers

Given:

A right angle triangle with legs x and 10.

The angle opposite to the side with measure 10 is 33 degrees.

To find:

The value of x.

Solution:

We know that, in a right angle triangle,

[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]

In the given triangle,

[tex]\tan 33^\circ=\dfrac{10}{x}[/tex]

[tex]x=\dfrac{10}{\tan 33^\circ}[/tex]

[tex]x=15.39864[/tex]

[tex]x\approx 15.4[/tex]

Therefore, the value of x is 15.4 units.

The diameter of a circle is 12 cm. Find the circumference to the nearest tenth

Answers

Answer:

Step-by-step explanation:

38 or 37.7 when not rounded

hope this helps

please help im reallyyyy desperate
NO LINKS OR FILES

Answers

Answer:

(2, -3), (3, -3)

Step-by-step explanation:

y = x^2 - 5x + 3

y = -3

x^2 - 5x + 3 = -3

x^2 - 5x + 6 = 0

(x - 3)(x - 2) = 0

x - 3 = 0 or x - 2 = 0

x = 3 or x = 2

We are given y = -3.

Answer: (2, -3), (3, -3)

Answer:

(2, -3) , (3, -3)

Step-by-step explanation:

One is asked to find what values of the parameter (x) will yield the result (f(x)=-3) if the function (f(x)) is the following,

[tex]f(x)=x^2-5x+3[/tex]

Set this equation up, and solve to find the value of (x) that satisfies this requirement:

[tex]f(x)=x^2-5x+3=-3[/tex]

Inverse operations,

[tex]x^2-5x+6=0[/tex]

Factor, rewrite the quadratic equation as the product of two linear equations,

[tex](x-2)(x-3)=0[/tex]

Therefore the solutions are the following, the (x-coordinate) represents the input, and the (y-coordinate) represents the output.

(2, -3), (3, -3)

please help asap!!!!!!!!

Answers

Answer:

Step-by-step explanation:

please help me
i wanna sleep :(​

Answers

Answer:

what langue is that

Step-by-step explanation:

no files i’ll report your answer
50 point answer

In the diagram below, lines TK and I are
90
L
M
<
A. skew
B. parallel
C. perpendicular

Answers

Answer:

C. Perpendicular

Step-by-step explanation:

The lines are making 90° with each other.

JK ⊥ LM, the lines are perpendicular

Correct choice is C

Find the mean absolute deviation for the following data:
6, 7, 10, 12, 13, 4, 8, 12
(A) 5.50
(B) 4.50
(C) 3.75
(D) 2.75

Answers

The mean absolute deviation is D)

In the United States, the maintenance and construction of airports, transit systems, and
major roads is largely funded through a federal excise tax on gasoline. Based on the 2011
statistics given below, how much did the average household pay per year in federal gasoline
taxes?
.
The federal gasoline tax rate was 18.4 cents per gallon.
• The average motor vehicle was driven approximately 11, 340 miles per year.
The national average fuel economy for noncommercial vehicles was 21.4 miles per
gallon.
The average American household owned 1.75 vehicles.
.
$55.73
$68.91
$97.52
$170.63

Answers

Answer:

Step-by-step explanation:

uy

According to the above we can establish that based on the given statistics, the average household paid approximately $97.52 per year in federal gasoline taxes.

How to calculate how much average household paid per year in federal gasoline taxes?

To calculate how much the average household paid per year in federal gasoline taxes, we can use the following steps:

Determine the total number of gallons of gasoline consumed by the average household per year:

Total gallons = (Total miles driven) / (Miles per gallon)Total gallons = 11,340 miles / 21.4 miles per gallonTotal gallons = 530 gallons (rounded to the nearest gallon)

Calculate the total amount paid in federal gasoline taxes per year:

Total taxes = (Total gallons) * (Tax rate per gallon)Total taxes = 530 gallons * $0.184 per gallonTotal taxes = $97.52

According to the above we can establish that based on the given statistics, the average household paid approximately $97.52 per year in federal gasoline taxes.

Learn more about taxes in: https://brainly.com/question/23347326
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The graphs below have the same shape. What is the equation of the blue
graph?

Answers

Answer:

G(x) = (x^2 +2)

Step-by-step explanation:

The graph moved to the left 2 units, therefor that is the equation :)

The equation of the blue graph will be G(x) = (x² +2).

What is a qudratic function?

In mathematics, a quadratic polynomial is a polynomial of degree two in one or more variables. A quadratic function is a polynomial function defined by a quadratic polynomial.

A parabola is the shape of a quadratic function's graph. The "width" or "steepness" of a parabola can vary and it can expand upward or downward.

The given equation of the red graph is,

F(x) = x²

The graph moved to the left 2 units, hence the equation can  be written as,

G(x) = F(x) + 2

G(x) = x² + 2

To know more about quadratic function follow

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Use the given values of n and p to find the minimum usual value μ − 2σ and the
maximum usual value μ + 2σ. Round your answer to the nearest hundredth unless
otherwise noted.
n = 261, p =1/5
Minimum: 65.12; maximum: 39.28
Minimum: 39.28; maximum: 65.12
Minimum: 45.74; maximum: 58.66
Minimum: 43.06; maximum: 61.34

Answers

After answering the question provided, we can predict that the result will be as by equation As a result, the correct response is: Minimum: 41.64; Maximum: 62.76.

What is equation?

A mathematical equation is a process that links two statements and indicates equality using the equals sign (=). A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the equal sign separates the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula may be used to understand the link between the two sentences that are written on opposite sides of a letter. Frequently, the logo and the particular software are identical. like in 2x - 4 = 2, for example.

A binomial distribution with the specified values of n and p has a mean of = np and a standard deviation of = sqrt(np(1-p)).

Inputting n = 261 and p = 1/5 results in:

μ = np = 261 × 1/5 = 52.2

5.28 is equal to sqrt(np(1-p)) = sqrt(261 1/5 4/5)

Calculating the minimal typical value of 2 is as follows:

μ − 2σ = 52.2 − 2 × 5.28 ≈ 41.64

The calculation for the maximum typical value + 2 is as follows:

μ + 2σ = 52.2 + 2 × 5.28 ≈ 62.76

These values are rounded to the nearest hundredth, giving us:

The range is 41.64 to 62.76.

As a result, the correct response is: Minimum: 41.64; Maximum: 62.76.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Answer:

Minimum: 39.28; maximum: 65.12

If x = 4, what is the value of 4x + 3?

Answers

Answer:

19

Step-by-step explanation:

4(4)+3=19

19 is your answerrrrr

Find the sum of
1. (2x2 − x) + (x2 + 3x − 1)
2. 5x2+2x−1+(4x2−x+2)
3. (3x2+2x+1)+(x2−1)
4. −x2−1 +(4x2−x)

Answers

Answer:

Step-by-step explanation:

(2x^2-x)+(x^2+3x-1)

2x^2-x+x^2+3x-1

x^2+3x-1

5x^2+2x-1+(4x^2-x+2)

5x^2+2x-1+4x^2+x-2

9x^2+6x-3

(3x^2+2x+1)+(x^2-1)

3x^2+2x+1+x^2-1

4x^2+2x

-x^2-1+(4x^2-x)

-x^2-1+4x^2-x

3x^2-1-x

Selection two: solving two step equations (7 of 10) 20-n=48

Answers

N= 28! 20-28=48 (also the same as 20+-28=48)
Please Mark BRAINLIEST!

Tyler asks for a fish tank for his birthday. The task he wants is a rectangular prism 20 inches long, 10 inches wide, and 12 inches tall.

Answers

Answer:

2400 in^3

Step-by-step explanation:

Tyler asks for a fish tank for his birthday. The task he wants is a rectangular prism 20 inches long, 10 inches wide, and 12 inches tall. How much water will the fish tank hold?

the capacity of the tank can be determined by calculating the volume of the tank

volume of a prism = length x width x height

20 x 10 x 12 = 2400 in^3

A cube has a side length of 5x cm. What is the volume of the cube?​

Answers

Answer:

125x^3 cm^3

Step-by-step explanation:

The volume of a cube of side length s is V = s^3.

If the side length is 5x cm, then V = (5x cm)^3 = 125x^3 cm^3

The mean of six numbers is 10. When
mother number is added the new mean is
9. Find the number added.​

Answers

Answer:

3

Step-by-step explanation:

If 6 numbers have a mean value of 10, it means that the sum of the numbers divided 6 is equal to 10. This can be expressed as:

x÷6=10

x=60

The new number added will be the 7th number and now the mean is 9. You have to ask what number divided by 7 is equal to 9? This can be expressed as:

y÷7=9

y=63

63-60=3

So the new number added is 3

Answer:

3

Step-by-step explanation:

Mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

Given the mean of 6 numbers is 10, then

[tex]\frac{sum}{6}[/tex] = 10 ( multiply both sides by 6 )

sum = 60

When another number x is added then count is 7

[tex]\frac{60+x}{7}[/tex] = 9 ( multiply both sides by 7 )

60 + x = 63 ( subtract 60 from both sides )

x = 3 ← the number added


G = { liquid, solid, gases} what type
of set is G.
a) Empty set
b) Firite set
c) Infinite set
d) Undefined set​

Answers

Answer:

Step-by-step explanation:

I think it’s b…

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