10x - 8y = 4
-5x + 3y = -9
(please explain step by step I don't understand)​

Answers

Answer 1

Answer:

x = 6

y = 7

Step-by-step explanation:

10x - 8y = 4   ⇒ ( 1 )

-5x + 3y = -9  ⇒ ( 2 )

( 2 ) × 2

2 × ( -5x + 3y = -9 )

-10x + 6y = - 18  ⇒ ( 3 )

( 1 ) + ( 3 )

10x - 8y -10x + 6y = 4 - 18

-2y = - 14

Divide both sides by ( - 2 )

y = 7

Now let us replace y with 7 to find the value of x.

For that, let us use equation ( 1 ).

10x - 8y = 4

10x - 8 × 7 = 4

10x - 56 = 4

10x = 56 + 4

10x = 60

Divide both sides by 10.

x = 6

Answer 2

Answer:

\(\boxed{\sf{x=6 \quad y=7}}\)

Step-by-step explanation:

Isolate the term of x and y from one side of the equation.

10x-8y=4 and -5+3y=-9

10x-8y=4

x=2(2y+1)/5

Substitute.

\(\sf{-5*\dfrac{2(2y+1)}{5}+3y=-9}\)

Solve.

-y-2=-9

Add by 2 from both sides.

-y-2+2=-9+2

Solve.

-y=-7

Divide by -1 from both sides.

-y/-1=-7/-1

Solve.

Divide the numbers from left to right.

-7/-1=7

y=7

Substitute of y=7.

x=2(2*7+1)/5

PEMDAS stands for:

ParenthesisExponentsMultiplyDivideAddSubtract

2(2*7+1)/5

Do parenthesis first.

2*7=14

14+1=15

2(15)/5

Multiply.

2*15=30

Divide.

30/5=6

x=6

Therefore, the correct answer is x=6 and y=7.

I hope this helps you! Let me know if my answer is wrong or not.


Related Questions

Simplify. * 11b – 5 + 12b - 10​

Answers

Answer:

22b - 15

Step-by-step explanation:

add the dependent variable together

Answer: 23b- 15

Explation:

Simplify. * 11b 5 + 12b - 10

HELLPPPPPLSSSS SOMSE

HELLPPPPPLSSSS SOMSE

Answers

Answer:

Option F

Step-by-step explanation:

F). x + y = 3 -------(1)

    x - 3y = -2 --------(2)

    Equation (1) minus equation (2)

    (x + y) - (x - 3y) = 3 - (-2)

    4y = 5

    y = 1.25

    Hence, y is positive.

G). x + y = 3 --------(1)

    x + y = -2 --------(2)

    Both the equations represent parallel lines.

    There are no solutions of the given equations.

H). x - 3y = -2 -------(1)

     x + y = -2 -------(2)

    Equation (2) minus equation (1)

    (x + y) - (x - 3y) = -2 - (-2)

     4y = 0

     y = 0

    Since, 0 is neither positive nor negative, y will be neither positive nor negative.

J). x + y = 3 -------(1)

    x - y = 3 --------(2)

    Equation (1) - Equation (2)

    (x + y) - (x - y) = 3 - 3

    2y = 0

    Hence, y is neither negative nor positive.  

    Therefore, Option F is the answer.

Igor has not been skiing in 10 years. however, when he gets on his skis, his body remembers exactly how to ski. the kind of memory that makes it possible for him to remember how to ski is:__________

Answers

Igor has not been skiing in 10 years. however, when he gets on his skis, his body remembers exactly how to ski. the kind of memory that makes it possible for him to remember how to ski is procedural.

What is procedural memory?Procedure memory exists a kind of implicit memory (unconscious, long-term memory) that helps people carry out particular tasks without thinking about their previous experiences.

It frequently resides below the consciousness level and controls the actions we take.

The automatic retrieval and use of procedural memories, which are relied upon when appropriate, is necessary for the execution of integrated motor and cognitive functions, such as tying shoes, reading, and flying an airplane.

Procedural memories are recovered and used without any conscious control or attention being needed.

Procedural learning, or repeatedly completing a challenging activity until all required brain networks are able to coordinate to complete the job automatically, is how procedural memory is established.

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What is the answer to 0.5(2x + 8) = x - 4

Answers

\(0.5(2x+8) = x-4\\\\\implies \dfrac 12 (2x+8 ) = x-4\\\\\implies 2x+8 = 2x-8\\\\\implies 8=-8\\\\\text{Which is not true, so there are no solution.}\)

plz help me with my work​

plz help me with my work

Answers

Answer:

the answer is B

Step-by-step explanation:

I think it’s B!!! Let me know if i’m wrong:) And have a goodnight!!

a UPS delivery man earns $0.60 per mile driven.How many miles did he drive if he received at $42

Answers

Answer:

70 miles

Step-by-step explanation:

Divide 42 by 0.60 = 70

Multiply 70 * 0.60 = 42.

( -4 ) 3÷( -4 ) -12 ​

Answers

Answer:

(-4)3/(-4)-12

-12/48

-1/4

Step-by-step explanation:

PEMDAS

do multiplication then division

Allysa is making a square-based pyramid for an Egyptian Studies project. If the square base measures 2 feet on each side and the height is 1.5 feet, how many cubic feet of clay will she need to create a solid pyramid

Answers

Allysa will need 2 cubic feet of clay to create a square pyramid with a base that is 2 feet wide and a 1.5-foot height.

What is volume of pyramid?

A pyramid's volume can be calculated using the formula V = (1/3) Bh, where "B" stands for the base area and "h" for the height of the pyramid. We can use the formulas for the area of polygons to calculate "B" because we know that any polygon can serve as a pyramid's base.

According to the given information:

Length of the base = 2 feet

width of the base = 2 feet

Height of the pyramid = 1.5 feer

volume of the pyramid = length * width * height/3

                                      =  2 * 2* 1.5 /3

                                      = 4 *0.5

the volume of the pyramid  = 2 cubic feet

Allysa will need 2 cubic feet of clay to create a square pyramid with a base that is 2 feet wide and a 1.5-foot height.

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Mariah has $210.58 to spend at the mall. She goes into one of her favorite clothing stores and ends up spending $59.40 on three items. How much money does Mariah have left? (Show your work).

Answers

Answer:

151.18

Step-by-step explanation:

I can't really show my work on this, sorry.

Answer:

151.18

Step-by-step explanation:

210.58-59.40=151.18

which one matches the picture description

which one matches the picture description

Answers

Answer:

356.82

Step-by-step explanation:

The domain of a polynomial function is ____ all real numbers.

Answers

Answer:

I may be wrong but I  believe it could be (−∞, ∞).

Step-by-step explanation:

Depending on the polynomial is what the rage would be. I'm beyond sorry if it is wrong.

Volume question 5 of 5 the rectangle represents the base of a right rectangular prism. the height of the prism is 6 inches. what is the volume of the prism? 13 o a. 87.9 in o b. 105.8 in 3 3 in o c. 12.6 in 2 o d. 75.6 in 3 submit​

Answers

The volume of prism is 75.6 \(in^3\). The correct answer is option d,

We are given that the rectangle represents the base of a right rectangular prism and the height of the prism is 6 inches. To find the volume of the prism, we need to multiply the area of the rectangle by the height.

The area of the rectangle can be found by multiplying its length and width. However, we are not given any specific values for the length and width of the rectangle. Therefore, we cannot directly calculate its area.

Since we are given answer choices, we can use them to check which option gives the correct volume of the prism. We can start by assuming that the length, width, and height of the prism are integers, and then calculate the volume for each option until we find the one that matches.

Option a: 87.9 in^3 - This is not an integer, so we can eliminate this option.

Option b: 105.8 in^3 - This is not an integer, so we can eliminate this option.

Option c: 12.6 in^3 - This is too small, so we can eliminate this option.

Option d: 75.6 in^3 - To check if this is the correct answer, we can calculate the area of the rectangle by dividing the volume by the height.

Volume of the prism = area of rectangle x height

75.6 in^3 = (length x width) x 6 in

Length x width = 12.6 in^2

Now, we need to find two integers whose product is 12.6 in^2 and whose sum is 16 in (since the rectangle represents the base of a right rectangular prism). After some trial and error, we find that 3.15 in and 4 in satisfy these conditions.

Therefore, the length of the rectangle is 4 inches and the width is 3.15 inches.

Now, we can calculate the area of the rectangle by multiplying its length and width:

Area of rectangle = length x width = 4 in x 3.15 in = 12.6 in^2

Finally, we can calculate the volume of the prism:

Volume of prism = area of rectangle x height = 12.6 in^2 x 6 in = 75.6 in^3

Therefore, the correct answer is option d, 75.6 \(in^3\).

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Point D has coordinates (8,3). Point G has coordinates (-4,3). What is the length of segment DG?

6 units
12 units
14 units
4 units

Answers

Answer: 12 units

Step-by-step explanation:

If you graph them on a graph you count the units between them and that is your anwser.

Answer:

12 units

Step-by-step explanation:

calculate DG using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2 -y_{1} } )^2\)

with (x₁, y₁ ) = D (8, 3 ) and (x₂, y₂ ) = G (- 4, 3 )

DG = \(\sqrt{(-4-8)^2+(3-3))^2}\)

     = \(\sqrt{(-12)^2+0^2}\)

     = \(\sqrt{144+0}\)

    = \(\sqrt{144}\)

    = 12

what is 2(x+6)-6x in simplest form

Answers

Answer:

-4x + 12

Step-by-step explanation:

2(x+6)-6x

2x + 12 - 6x

combine llike terms

2x - 6x = -4x

-4x + 12

Answer:

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

Step-by-step explanation:

So how I got that was I expanded 2(x+6): 2x+12 so I got 2x+12-6x

I simplified 2x+12-6x and I got -4x+12

Jennifer 4 years older than her sister, Rebecca. Their ages sum to 28. How old are each of the sisters?
A) Write an equation to represent the situation.
B)How old are each of the sisters?

Answers

Answer:

Rebecca is 12

Jennifer is 16

Step-by-step explanation:

28 - 4 = 24

24 : 2 = 12

12 + 4 = 16 (Jennifer)

28 - 16 = 12 (Rebecca)

Need help on this haha

Need help on this haha

Answers

Answer:

C. y=1/2x+3

Step-by-step explanation:

3 is the positive y-intercept

1 is the rise and 2 is the run

Answer 5 and 6 pleaseeeeee

Answer 5 and 6 pleaseeeeee

Answers

Answer:

?

Step-by-step explanation:

Solve the equation.
|2x – 10| = 22
A.
no solution
B. x= 16, x=-16
C. x= 16, x= -6

Answers

Answer:

C

Step-by-step explanation:

|2x-10|=22

2x-10=22         2x-10= -22

2x=23                2x= -12

 16                             -6

f(x) has domain , and range

f(x) has domain , and range

Answers

domain: {-4, -2, 0, 2, 4}
range: {-2, -1, 0, 1, 2}

Answer:

A then B then 1/2 then yes

Step-by-step explanation:

Someone plz help me I suck at doing that

Someone plz help me I suck at doing that

Answers

Answer:

D - 4.6

Step-by-step explanation:

Hope it Helps!

:)

and sorry for the late answer

Robert digs a hole at a steady rate of 1 3/4 feet every hour.

Consider ground level to be 0.

What value represents the elevation of the hole relative to ground level after digging for 3 1/2 hours?

Answers

Answer:

the answer is -6 1/8

Step-by-step explanation:

The length of hole digging for hours is 6.125 feet.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that;

Rate of digging hole by Robert =  \(1\frac{ 3}{4}\) feet every hour

Find the Length of hole digging for \(3 \frac{1}{2}\)  hours

Computation:

Rate of digging hole by Robert

Time taken =  \(1\frac{ 3}{4}\)  hours = 7/4 hours

The Length of hole digging for hours = Rate of digging hole × Time taken

Length of hole digging for hours = (7/4)(7/2)

Length of hole digging for  hours = 49/8

Length of hole digging for hours = 6.125 feet (Approx.)

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The Transportation Security Administration (TSA) is responsible for airport security. On some flights, TSA officers randomly select passengers for an extra security check before boarding. One such flight has 76 passengers (12 in first class and 64 in coach). TSA officers selected an SRS of 10 passengers for screening. Let p-hat be the proportion of first class passengers in this sample. So, assuming that you are checking for the probability of choosing a first class passenger out of all passengers on the flight. Is the 10% condition met in this case? Justify your answer. (POS 447#31)


- Yes, 10 passengers out of 76 is less than 10% of the population of the flight.

- yes, 10 passengers out of all passengers on all flights is less than 10% of the population

- No, 10 passengers is the population being studied and is not less than 10% of the 10 total

- No, 10 passengers out of 76 is more than 10% of the population of the flight.

Answers

The answer is -No, 10 passengers out of 76 is more than 10% of the population of the flight.

find the value of a that makes the following equation true for all values of x 0.9^60x=a^x

find the value of a that makes the following equation true for all values of x 0.9^60x=a^x

Answers

Answer:

A

Step-by-step explanation:

(A) would be correct.

A^x would yield (0.9^60)^x when plugged in. Since an exponent

on the parenthesis surrounding a number with an exponent already

just gets multiplied to the number's exponent, we'd end up with

      0.9^60*x , which is the same as the given example.

A sphere of radius 10 cm has the same surface area as a circle. What is the radius of the circle?


A) r=20


B) r=36


C) r=16


D) r=24


E) r= 48

Answers

The radius of circle is 20 cm so that cirlcle have same surface area as that of sphere.

The surface area of a sphere with radius r is given by:

4 * π * \(r^2\)

The surface area of a circle with radius R is given by:

π * \(R^2\)

We are given that the surface area of a sphere with radius 10 cm is equal to the surface area of a circle. Setting the two expressions for surface area equal to each other and solving for R gives:

4 * π * \(r^2\) =  π * \(R^2\)

=> 4 \(r^2\) =  \(R^2\)

=> R =2r

as given that r = 10cm

so R = 20 cm

Thus, the radius of the circle is 20 cm.

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Barry bought a wooden board that measured 8 feet in length. He cut off a piece that measured
65 feet. How much of the board was left?

Answers

Answer:

-57

Step-by-step explanation:

If he had an 8 ft board and cut 65 ft off it would be -57.

How do you step by step solve the equation n(n+2) = 0

Answers

Answer: n = 0 and -2

Step-by-step explanation:

Equate the expressions to zero

n(n+2) = 0

n = 0 and n+2 = 0

n = 0 and n = -2

f(x)= 3x^2-7 over
4x^2-3

-find f(2)

Answers

Answer:

5/13

Step-by-step explanation:

f(x) = \(\frac{3x^{2}-7 }{4x^{2}-3 }\)

Substitute x for 2.

\(\frac{3(2)^2-7}{4(2)^2-3}\)

Solve

\(\frac{3(4)-7}{4(4)-3}\)

\(\frac{12-7}{16-3}\)

f(2)= \(\frac{5}{13}\)

The value of f(2) is 5/29.

What is Function?

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

f(x) = 3x² -7/ 4x² - 3

Now, find the value of the function at x= 2

So, f(2)= 3(2)² -7/ 4(2)² - 3

f(2) = 3 x 4 -7 / 4 x 8  - 3

f(2) = 5/29

Hence, the value of f(2) is 5/29.

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someone please help me im so confused​

 someone please help me im so confused

Answers

Answer:

x=11

Step-by-step explanation:

5x+62=3x+47+37

5x+62=3x+84

2x=22

x=11

Answers:11

That’s the answer like the other person said

A researcher is investigating the effect of sleep deprivation on learning. She recruits 30 participants and randomly assigns half to a "no sleep" group and half to a "regular sleep" group. The "no sleep" group are required to stay up all night and report to a testing room at 2PM the following day. The "regular sleep" group are instructed to have a normal night's sleep and report to the testing room at 9AM the following day. Unfortunately, a water pipe broke outside the testing room window and there was noisy construction crew working the whole day of testing. Which of the following statements is true?
a. The study may be affected by a situational variable.
b. The construction noise may contribute to variability in test scores.
C. The study has a confounding variable. The groups differ in the time they are to report to the testing room.
d. All of these are true.

Answers

The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

The statement that is true is: d. All of these are true.Explanation:A study may have various sources of variability, including participant selection, the setting in which the study is conducted, and the measure used. The following options are as follows:a. The study may be affected by a situational variable.b. The construction noise may contribute to variability in test scores.c. The study has a confounding variable. The groups differ in the time they are to report to the testing room.d. All of these are true.Therefore, all of these options are true. For example, the study may be affected by a situational variable if a natural disaster or other unforeseen event happens that causes the study to be disrupted. In this case, the study was disrupted by a noisy construction crew, which may have contributed to variability in test scores. The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

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Find the missing coordinate of P, using the fact that P lies on the unit circle in the given quadrant.
Coordinates Quadrant
P(-3/5, ?) III
P(?, 1/3) II

Answers

\((\frac{-3}{5}, \frac{-4}{5} ) and (\frac{-8^\frac{1}{2} }{3} ,\frac{1}{3})\) are the missing coordinates(P) in the Quadrant iii and quadrant ii of the unit circle

What is quadrant and its type?

A quadrant is an area or section of a cartesian plane that results from the intersection of two axes. It is used to establish a point's location in a plane. Look at the illustration below, which depicts a cartesian plane with two axes dividing it into four quadrants.

The graph plane is divided into four quadrants by the X and Y axes:

The upper right corner of the plane is where the first quarter is located. The x and y coordinates in this quadrant are both positive.The top left corner of the plane is where the second quadrant is located. The x-coordinate is negative and the y-coordinate is positive in this quadrant.The lower left-hand corner of the plane is where the third quadrant is located. The x and y coordinates in this quadrant are both negative.The lower right corner of the plane is where the fourth quarter is located. The x-coordinate is positive and the y-coordinate is negative in this quadrant.The quadrants are numbered in an anti-clockwise manner, it should be noted.

So now we know that the equation of the unit circle is x^2+y^2=r^2

now the Point (P) will be:-

\((-3/5)^2+(y)^2=1\\\\y^2=1-9/25\\\\y=-4/5\)

because the quadrant is iii

\((x)^2+(1/3)^2=1\\\\x^2=1-1/9\\\\y=-8^\frac{1}{2} /3\)

because the quadrant is ii

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