Which of the following is the valid classification of the system given below?
$ 7x + 2y = 24
| 2x + 1 = y

Answers

Answer 1

Answer:

Step-by-step explanation:

The system of equation given is a simultaneous equation

7x + 2y = 24 ...... 1

2x + 1 = y ......... 2

Rearrange

7x + 2y = 24  .... *1

| 2x - y = -1 ..... * 2

Use elimination method

7x + 2y = 24

4x - 2y = -2

add

7x+4x = 24-2

11x = 22

x = 22/11

x = 2

Substitute x = 2 into 2

2x+1 = y

y 2(2)+1

y = 4+1

y = 5

Hence x = 2, y = 5

The system of equation is a simultaneous equation


Related Questions

HELP I NEED HELP ASAP

Answers

The equation is y=4x-3.

( x + 7 ) ( 5x + 4 ) expand and simplify

Answers

Answer:

6x+11

Step-by-step explanation:

( x + 7 ) ( 5x + 4 )
7x + 9x
16x

How do I solve a problem like this?
I solved it like: 3x-10+2x+20=45 and got x=9 but I was wrong. Can you help me understand what I did wrong? Thank you!

Answers

X=9

Explanation: 3x-10+2x+20=45 combine like terms and then you get 5x+10=45
Then subtract 10 from 45 and then divide you have 5x=35 and then divide 35 by 5 and get 7

Jon's mortgage payment was originally $3,490 per month. Now, after refinancing his home loan, Jon's mortgage payment is $3,141. What is the percent of decrease in Jon's mortgage payment?

Answers

Answer:

It is a 10% Decrease

Step-by-step explanation:

Answer:

35579 9ytfcvgbji9u8y7tgfrcv bnmk, 4its 47906900-

Ioana tried to prove that \triangle OPQ\cong \triangle SRQ△OPQ≅△SRQtriangle, O, P, Q, \cong, triangle, S, R, Q. Statement Reason 1 PQ=RQ=9PQ=RQ=9P, Q, equals, R, Q, equals, 9 Given 2 m\angle O=m\angle S=90\degreem∠O=m∠S=90°m, angle, O, equals, m, angle, S, equals, 90, degree Given 3 m\angle PQO=m\angle RQS=63\degreem∠PQO=m∠RQS=63°m, angle, P, Q, O, equals, m, angle, R, Q, S, equals, 63, degree Given 4 \triangle OPQ\cong \triangle SRQ△OPQ≅△SRQtriangle, O, P, Q, \cong, triangle, S, R, Q Angle-side-angle congruence What is the first error Ioana made in her proof? Choose 1 answer: Choose 1 answer: (Choice A) A Ioana used an invalid reason to justify the congruence of a pair of sides or angles. (Choice B) B Ioana only established some of the necessary conditions for a congruence criterion. (Choice C) C Ioana established all necessary conditions, but then used an inappropriate congruence criterion. (Choice D) D Ioana used a criterion that does not guarantee congruence.

Answers

Answer:

The answer is Choice C

Step-by-step explanation:

I got it right, look at the screenshot for proof

Answer:

Choice C

Step-by-step explanation:

Writing a proof

A proof is a formal description of how we can know that something is true based on the information from a mathematical scenario.

Each step of the proof is a transformation, a construction, or a statement about what we can conclude from earlier steps.

For a two-column proof we give a reason to justify each statement. Common reasons include geometric theorems, algebraic properties, and information given in diagrams.

Let's check the reason for each step and whether Ioana established the conditions for it.

Hint #22 / 4

Step 1

The diagram does support the claim that PQ=RQ=9PQ=RQ=9P, Q, equals, R, Q, equals, 9.

Step 1 is correct.

Step 2

The diagram does support the claim that m\angle O=m\angle S=90\degreem∠O=m∠S=90°m, angle, O, equals, m, angle, S, equals, 90, degree.

Step 2 is correct.

Step 3

The diagram does support the claim that m\angle PQO=m\angle RQS=63\degreem∠PQO=m∠RQS=63°m, angle, P, Q, O, equals, m, angle, R, Q, S, equals, 63, degree.

Step 3 is correct.

Hint #33 / 4

Step 4

In this step, Ioana claims that \triangle OPQ\cong \triangle SRQ△OPQ≅△SRQtriangle, O, P, Q, \cong, triangle, S, R, Q using the angle-side-angle criterion. But the corresponding pair of congruent sides, \overline{PQ}

PQ

start overline, P, Q, end overline and \overline{RQ}

RQ

start overline, R, Q, end overline, aren't the sides that are included between the two pairs of congruent corresponding angles.

Ioana should have used the angle-angle-side criterion.

Hint #44 / 4

Ioana established all necessary conditions, but then used an inappropriate congruence criterion.

–4(2x−2)= –(4x−4) what is x?

Answers

Answer:

x = 1

Step-by-step explanation:

–4(2x−2)= –(4x−4)

-8x-(-8) = -4x-(-4)

-8x+8 = -4x+4

-8x+8-8 = -4x+4-8

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

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

-4x = -4

-4x/-4 = -4/-4

x = 1

How long will it take Pablo to bike 64 miles if he is biking at a speed of 8 mph?

Answers

Answer:

It will take 8 hours to go 64 miles.

Step-by-step explanation:

x / y = z

x = 64 (Miles you need to go.)

y = 8 ( Miles per hour.)

z = How long it will take.

64/8 = z

64/8 = 8

It will take 8 hours to go 64 miles.

Determine whether the given value is a statistic or a parameter. A sample of seniors is selected and it is found that 65% own a television. A. Statistic because the value is a numerical measurement describing a characteristic of a sample. B. Parameter because the value is a numerical measurement describing a characteristic of a sample. C. Statistic because the value is a numerical measurement describing a characteristic of a population. D. Parameter because the value is a numerical measurement describing a characteristic of a population.

Answers

Answer: A. Statistic because the value is a numerical measurement describing a characteristic of a sample.

Step-by-step explanation: Statistic are used to describe values obtained from a data sample which are regarded as a subset of the data belonging to an entire population. Therefore, in statistical parlance, numerical measurement obtained from such dataset are called statistic. On the other hand, if data from which a numerical derivation was made is a population which consists of the entire set of observations belonging to a particular group of interest, then the numerical values obtained are referred to as a parameter.

Given: The value [tex]65[/tex]% is a statistic.

The correct option is C (Statistic because the value is a numerical measurement describing a characteristic of a population).

Explanation: We have to determine whether the underlined number is statistics or a parameter.

A sample of employees is selected and it is found that [tex]65[/tex]% own a television.

Learn more: https://brainly.com/question/24131735


The graph of the line y = 4 is a

A) vertical line with a slope of zero.
B) horizontal line with a slope of zero.
C) vertical line with an undefined slope.
D) horizontal line with an undefined slope.
E) horizontal line with a slope of one.

Answers

I think the answer is D

Rewrite the following improper fraction as a mixed number : 19/5

Answers

Answer:

3 4/5

Step-by-step explanation:

Answer:

3 4/5

Step-by-step explanation:

19/5

Take the numerator and divide by the denominator

19/5 = 3 with 4 left over

Take the remainder and put over the denominator

3 4/5

What is Simplify by combining like terms:
5a + 2b - 3a + 4​

Answers

Answer:

2a+2b+4, or 2(a+b+2)

Step-by-step explanation:

It might be wrong

Answer:

2a+2b+ 4

Step-by-step explanation:

Subtract 3a from 5 a

Hope this helps. Plz give brainliest.

Malik’s solution to the equation , when , is shown below.


What error did Malik make first when solving the equation ?

Malik did not multiply correctly.
Malik added 240 to each side of the equation.
Malik did not multiply correctly.
Malik substituted 60 for y instead of x.

Answers

Answer:

Malik substituted 60 for y instead of x.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

uwu

can you help me solve this​

Answers

R= I/V
You add V to the other side of the = and since letters can add, subtract, multiply, or divide into each other you leave the answer and one letter over another letter

The Pythagorean theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the

hypotenuse by the formula a2 + b2 = c2.

If a is a rational number and b is a rational number, why could c be an irrational number?

O The square of rational numbers is irrational, and sum of two irrational numbers is irrational.

O The product of two rational numbers is rational, and the sum of two rational numbers is irrational.

O The left side of the equation will result in a rational number, which is a perfect square.

O The left side of the equation will result in a rational number, which could be a non-perfect square.

Answers

Answer:

The product of two rational numbers is rational, and the sum of two rational numbers is irrational.

Step-by-step explanation:

Let be [tex]a[/tex] and [tex]b[/tex] rational numbers whose forms are, respectively:

[tex]a = \frac{m}{n}[/tex] and [tex]b = \frac{q}{r}[/tex], [tex]m[/tex], [tex]n[/tex], [tex]q[/tex], [tex]r[/tex] [tex]\in \mathbb{Z}[/tex]

We proceed to demonstrate if the Pythagorean sum of two rational numbers leads to a rational number.

1) [tex]a = \frac{m}{n}[/tex],  [tex]b = \frac{q}{r}[/tex], [tex]m[/tex], [tex]n[/tex], [tex]q[/tex], [tex]r[/tex] [tex]\in \mathbb{Z}[/tex] Given.

2) [tex]c^{2} = a^{2}+b^{2}[/tex] Given.

3) [tex]c^{2} = \left(\frac{m}{n} \right)^{2}+\left(\frac{q}{r} \right)^{2}[/tex] 1) in 2)

4) [tex]c^{2} = (m\cdot n^{-1})^{2}+(q\cdot r^{-1})^{2}[/tex] Definition of division.

5) [tex]c^{2} = [m^{2}\cdot (n^{-1})^{2}]+[q^{2}\cdot (r^{-1})^{2}][/tex]    [tex](a\cdot b)^{c} = a^{c}\cdot b^{c}[/tex]

6) [tex]c^{2} = m^{2}\cdot n^{-2}+q^{2}\cdot r^{-2}[/tex]   [tex](a^{b})^{c} = a^{b\cdot c}[/tex]

7) [tex]c^{2} = [m^{2}\cdot (n^{2})^{-1}]+[q^{2}\cdot (r^{2})^{-1}][/tex]  [tex](a^{b})^{c} = a^{b\cdot c}[/tex]

8) [tex]c^{2} = \frac{m^{2}}{n^{2}}+\frac{q^{2}}{r^{2}}[/tex] Definition of division.

9) [tex]c^{2} = \frac{m^{2}\cdot r^{2}+q^{2}\cdot n^{2}}{n^{2}\cdot r^{2}}[/tex]  [tex]\frac{x}{y} +\frac{w}{z} = \frac{x\cdot z+w\cdot y}{y\cdot z}[/tex]

10) [tex]c^{2} = \frac{(m\cdot r)^{2}+(q\cdot n)^{2}}{(n\cdot r)^{n}}[/tex]    [tex](a\cdot b)^{c} = a^{c}\cdot b^{c}[/tex]/Result.

If [tex]c[/tex] is a rational number, then [tex](m\cdot r)^{2}+(q\cdot n)^{2} = a^{2}[/tex], so that [tex]a \in \mathbb{Z}[/tex]. Which means that [tex]c[/tex] will be rational number if and only if the square root of [tex](m\cdot r)^{2}+(q\cdot n)^{2}[/tex] is an entire number.

Which means that correct answer is B.

In the following figure (AB) ∥(CD). Suppose that m∠1=32°. What is m∠6? Explain your reasoning

Answers

Answer:

148

Step-by-step explanation:

angle 1=3

angle3=7=32 degrees

angle6+angle7= 180

angle 6=180-32

angle 6= 148 degrees

The measure of m<6 is 148.

What are properties of parallel lines?

Properties of Parallel Lines

Parallel lines are the set of lines that lie on the same plane but never intersect each other, even if you extend them infinitely.

The pairs of corresponding angles are equal.The pairs of vertically opposite angles are equal.The pairs of alternate interior angles are equal.The pairs of alternate exterior angles are equal.The pair of interior angles on the same side of the transversal is supplementary.

Given:

m∠1=32°

Now, using vertical opposite angle

m<1 = m<3 = 32

Now, using same- side interior transversal

m<3 + m<6 = 180

32 + m<6 = 180

m<6 = 180-32

m<6 = 148

Hence, the measure of angle 6 is 148.

Learn more about parallel lines here:

https://brainly.com/question/16701300

#SPJ2

Are the locations of the campsite at X and the fossils at Rand T collinear or noncollinear? 106​

Answers

Answer:

180-44

Step-by-step explanation:

PLEASE ANSWER THIS ASAPPPPPP

Answers

Answer:

That is very difficult

Step-by-step explanation:

I hope you got help

What do animals and fungi have in common ? A. Both can make their own food B. Both have cells with a nucleus C. Both are made of many cells ((Pls answer I’ll mark brainliest and heart it and everything, I did 62 questions and if I get this wrong I have to start again..

Answers

Answer: B and C

Step-by-step explanation: Both animal cells and plant cells are eukaryotes and eukaryote cells have nucleus.

Solve for X

-3 (2x + 6) = 12

pls help
im ready to got bed
lol

Answers

Answer:

x=-5 Hope this helped! Goodnight!

Step-by-step explanation:

Let's solve your equation step-by-step.

−3(2x+6)=12

Step 1: Simplify both sides of the equation.

−3(2x+6)=12

(−3)(2x)+(−3)(6)=12(Distribute)

−6x+−18=12

−6x−18=12

Step 2: Add 18 to both sides.

−6x−18+18=12+18

−6x=30

Step 3: Divide both sides by -6.

−6x /−6 = 30 /−6

x=-5

Answer:

x= -5

can you also please mark me as brainliest?

thanks

also have a good night

Complete the statements about finding the equation of the line that is parallel to line n and passes through point (2, –3). The slope of the graphed line is . The slope of the parallel line is . An equation that can be used to find the y-intercept of the parallel line is . The y-intercept of the parallel line is . The equation of the parallel line is .

This is for edge 2020 and It's urgent! Pleeeeeeeaese!

Answers

Answer: 1. 5/2

Step-by-step explanation:

Answer: 1. 5/2

2. 5/2

3. -3= (5/2)(2) + b

4. -8

5. y= (5/2)x - 8

Step-by-step explanation:

The slope of the graphed line is 5/2

The slope of the parallel line is 5/2

An equation that can be used to find the y-intercept of the parallel line is -3=(5/2)(2) + b

The y-intercept of the parallel line is -8

The equation of the parallel line is y= (5/2)x - 8

2) Find x if m2) = 6x + 1 and
mZSOR = 11x + 6.
s
P

Answers

X = -1 11x+6=6x+1 which leads to 5x=-5

Which of the following numbers are less than or equal to 1.75?
Choose all answers that apply: A =1 4/11 B= 1.6 C=7/4 ?

Answers

the answer is a b and c

HELP- on a map of North Carolina, Raleigh and Asheville are about 8 inches apart. if the scale is 1 inches = 12 miles, how far apart are the cities? write a proportion and solve

Answers

Answer:

96

Step-by-step explanation:

12x8  

what is the slope of the line that passes through the points 7,-6 and 4,-6

Answers

Answer:

0

Step-by-step explanation:

[tex]\frac{(-6 - (-6))}{7 - 4}[/tex]= [tex]\frac{0}{3}[/tex]=0

some one knows how doing this​

Answers

The two side numbers multiply to the top number and add to the bottom number, for your problem the left side is 3 and the bottom 1

Item 7 A parabolic spotlight is being designed with the lightbulb at the focus point. If the lightbulb is placed 2.5 inches above the vertex and the height of the spotlight is 10 inches, what is the width of the spotlight? Item 7 A parabolic spotlight is being designed with the lightbulb at the focus point. If the lightbulb is placed 2.5 inches above the vertex and the height of the spotlight is 10 inches, what is the width of the spotlight?

Answers

Answer:

The width of the spotlight is  20 inches

Step-by-step explanation:

The location of the bulb = 2.5 inches above the vertex

The height of the spotlight = 10 inches

The width of the spotlight =

The

The height of

The equation of a parabola is given as follows;

(x - h)² = 4p(y - k)

Focus, (h, k + p) = (0, 2.5)

y = k - p

k  + p = 2.5

Vertex = (h, k) = (0, 0), therefore, k = 0

p = 2.5

We have;

(x - 0)² = 4p(y - 0)

x² = 4×2.5 × y = 10·y

Therefore, given that y = 10, we have;

x² = 10 × 10 = 100

x = √100 = ±10

The coordinates of the two end points are;

(-10, 10), and (10, 10)

Therefore, the width of the spotlight = the distance between the end points  

Given that the y-values are the same, we have

Distance = 10 - (-10) = 10 + 10 = 20 inches

∴ The width of the spotlight =  20 inches.

help me please I will give the first person five out of five stars

Answers

Answer:

3,4

Step-by-step explanation:

Just picture it in your head where the point is on the graph and move it over 4 points.

What characteristics make terms "like terms?"

Answers

Answer:

same variable and same exponent

Answer:

when they have the same variable and their exponent if applicable isn't different.

Step-by-step explanation:

For example if you have a value like 3x and 4x they are like terms that can be combined;7x. If you have say 5x and 6y they are not like terms.

The second option would be your answer.

The estimated product of 20.7 and 9.18, after rounding both factors to the nearest whole number,is 189

The exact product of 20.7 and 9.18 has how manny
decimal places? PLZ HELP

Answers

Answer:

3 up hope this help

-elsa

Step-by-step explanation:

Answer:

the first one is 189 the last one is 3

Step-by-step explanation:

I went on thing

An arts academy requires there to be 6 teachers for every 144 students and 3 tutors for every 30 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 110 students​?

Answers

Answer:

the teachers would have 24 students per teacher. 10 students per tutor. There would need to be 11 tutors

Step-by-step explanation:

each tutor would have 10 students then if you do 11 times 10 you get 110

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