please help!!!!!!!!!!

Please Help!!!!!!!!!!

Answers

Answer 1

Answer:

1-c

2-b

3-a

Step-by-step explanation:

1. 7y=14

y=2

-7y=-14

y=2

so the equation has one solution

2. 0=0

so the equation has infinite solution

3. 0=2 false

so the equation has no solution

Answer 2

1 solution

8x+7y=30

8x-7y=2

infinitely many solutions

-8x+7y=-2

8x-7y=2

no  solution

8x-7y=2

-8x+7y=2

Explanation

The number of solutions of a pair of linear equations are determined by the following criteria

1 solution

-[tex]a1/a2 \neq b1/b2[/tex]

in the first pair [tex]a1/a2=8/8=1[/tex]

[tex]b1/b2=7/-7=-1[/tex]

therefore [tex]a1/a2 \neq b1/b2[/tex]

infinitely many solution

[tex]a1/a2=b1/b2=c1/c2[/tex]

In the second pair of equations -8x+7y+2=0 and 8x-7y-2=0

[tex]a1/a2=-8/8=-1\\b1/b2=7/-7=-1\\c1/c2=2/-2=-1[/tex]

since [tex]a1/a2=b1/b2=c1/c2[/tex], the pair of equations have infinitely many solutions

no solution

[tex]a1/a2=b1/b2\neq c1/c2[/tex]

in the third pair of equation

[tex]a1/a2=8/-8=-1\\b1/b2=-7/7=-1\\c1/c2=-2/-2=1[/tex]

Here [tex]a1/a2=b1/b2\neq c1/c2[/tex]


Related Questions

which expression is equivalent to 3y-8+(-7y)+8

Answers

Answer:

I believe the answer to this question is: -4Y

The answerrrrrr is -4y

Max takes a taxi to work one day. The taxi charges. A $6 flat fee plus $0.25 per mile. Max wants to spend exactly $12.50. How many miles will he travel in the taxi for this amount?

Answers

12.50 - 6 = 6.50
6.50/.25 = 26
26 miles
12.50 - 6 = 6.50
6.50 ÷ .25 = 26
So he could travel 26 miles :)

What is the solution of the system?

10x−2y=24
6x+2y=8
Enter your answer in the box, as an ordered pair

Answers

Answer:

The solution is (2, -2)

Step-by-step explanation:

Let's find out the solution of the system:

10x − 2y = 24

6x + 2y = 8

Describing x in terms of y in the first equation, this way:

10x − 2y = 24

10x = 24 + 2y

x = 2 * (12 + y)/10 (Dividing by 10 at both sides)

x = (12 + y)/5 (Simplifying)

Solving for y in the 2nd equation:

6x + 2y = 8

6 * (12 + y)/5 + 2y = 8

(72 + 6y)/5 + 2y = 8

72 + 6y + 10y = 40 (Multiplying by 5 at both sides)

16y = 40 - 72

16y = -32

y = -2

Solving for x in the 1st equation:

10x − 2y = 24

10x - 2 * -2 = 24

10x + 4 = 24

10x = 24 - 4

10x = 20

x = 20/10

x = 2

The solution is (2, -2)

slope of (0,3) and (-4,-1)

Answers

Slope is change in y over change in x
3-(-1)/0-(-4)
4/4=1
The slope is 1

What is the constant of this proportionality for 1 4, 2 8, 3 12, 4,16

Answers

Answer:

k = 4

Step-by-step explanation:

The constant of proportionality is found by starting with y = kx, then finding k.

We can just use one point (such as the first one, (1,4) ) and substitute these values of x and y into the equation  y = kx, to get:

4 = k x1

k = 4.

So y = 4x

(we can also check that all the other points also satisfy this equation - which they do, as each y value is 4 times the corresponding x value)

Answer:

4

Step-by-step explanation:

a plumber charged $70 for the first 30 minutes of each house call plus $4 for each additional minute he works. if he charges hayden $122 for the house visit how long did the plumber work

Answers

Answer:

The plumber worked for 43 minutes.

Step-by-step explanation:

A plumber charged $70 for the first 30 minutes of each house call plus $4 for each additional minute he works.

Now, the total amount to be paid to the plumber C(x) as a function of x number of minutes that he works can be modeled by the equation

C(x) = 70 for x ≤ 30 minutes and C(x) = 70 + (x - 30)4 for x > 30 minutes.

Now, the plumber charges Hayden $122 for the house visit. In that case, x must be greater than 30 minutes.

So, we can write

122 = 70 + (x - 30)4

⇒ 122 = 70 + 4x - 120

⇒ 4x = 172

x = 43 minutes.

Therefore, the plumber worked for 43 minutes. (Answer)

A 40ft tall building cast a shadow of 10ft. At the same time another building cast a shadow of 24 ft. How y’all is the second building?

Answers

Answer:

Every 4 feet in height would be 1 foot in length, so I want to say about 96ft

Step-by-step explanation:

Which polygon has exactly one pair of parallel sides? A. rectangle B. trapezoid C. parallelogram D. square

Answers

Answer:

B. trapezoid

Step-by-step explanation:

The other three have two pairs of parallel sides

Answer:

B

Step-by-step explanation:

Three people split an amount of money. 1 268 dollars and 1 gets 200 dollars. The third gets 40 percent. What is the amount?

Answers

The total amount is $ 780

Solution:

Let the total amount be "x"

Given that,

First person gets $ 268

Second person gets $ 200

Third person gets 40 %

This means, third person gets 40 % of total amount

Third person = 40 % of x

[tex]Third\ person = 40 \% \times x\\\\Third\ person = \frac{40}{100} \times x\\\\Third\ person = 0.4x[/tex]

We know that, total amount is equal to sum of amount got by all three persons

Total amount = first person + second person + third perosn

[tex]x = 268 + 200+ 0.4x\\\\x - 0.4x = 268 + 200\\\\0.6x = 468\\\\x = \frac{468}{0.6}\\\\x = 780[/tex]

Thus the total amount is $ 780

Convert 2671, to base 3 without first converting to base 10.​

Answers

I do not understand the second half of the question but 2671 in base 3 is 10122221

Answer:

10122221 base 3

Step-by-step explanaUrtion:

Which is the simplified form of n-6p3​

Answers

Final answer:

The simplified form of n-6p³ is n-6p³.

Explanation:

To simplify the expression n-6p³, we need to combine like terms. Since n and 6p³ do not have any common factors, the simplified form of the expression is n-6p³.

the mean of 100 numberical observations is 37.53. what’s the value of the sum of all 100 numbers

Answers

Answer: 3753

explanation:  Mean is the average so divide 3753 by 100 to get 37.53.

si p+ 2p+3p=12, ¿cual es el valor de 5p -1

Answers

For this case we have the following equation:

[tex]p + 2p + 3p = 12[/tex]

To solve we follow the steps below:

We add similar terms from the left side of the equation:

[tex]6p = 12[/tex]

We divide between 6 on both sides of the equation:

[tex]p = \frac {12} {6}\\p = 2[/tex]

Finally, we have to:

[tex]5p-1 = 5 (2) -1 = 10-1 = 9[/tex]

Answer:

[tex]p = 2\\5p-1 = 9[/tex]

the weight of 80 screws in a jar of identical screws is 2 ounces. what is the weight, in ounces, of 4 screws

Answers

The weight of 4 screws is 0.1 ounces

Step-by-step explanation:

The problem can be solved by setting up a proportion.

In fact, we know that:

- The weight of 80 screws is 2 ounces

- So we want to find the weight of 4 screws

We can write the following proportion:

[tex]\frac{80}{2}=\frac{4}{x}[/tex]

where

x is the weight of 4 screws

Solving the equation, we find:

[tex]x=\frac{4\cdot 2}{80}=0.1[/tex]

So, the weight is 0.1 ounces.

Learn more about relationship between variables:

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Evaluate the expressions 3x-2 and 4x+4 for the following value of x.

Answers

Question:

Evaluate the expressions 3x - 2 and 4x + 4 for the following values of x. When you have found the value for each expression, write a statement using <, >, or = that shows how the two values are related. a. x = 0 b. x = -6 c. x = 5 d. x = -2

Answer:

Part a: [tex]4x+4>3x-2[/tex]

Part b: [tex]4x+4=3x-2[/tex]

Part c: [tex]4x+4>3x-2[/tex]

Part d: [tex]4x+4>3x-2[/tex]

Explanation:

Part a: Substituting [tex]x=0[/tex], we get,

[tex]\begin{aligned}3 x-2 &=3(0)-2 \\&=-2\end{aligned}[/tex]

[tex]\begin{aligned}4 x+4 &=4(0)+4 \\&=4\end{aligned}[/tex]

The value of [tex]3x-2[/tex] is less than [tex]4x+4[/tex]

Thus, [tex]4x+4>3x-2[/tex]

Part b: Substituting [tex]x=-6[/tex], we get,

[tex]\begin{aligned}3 x-2 &=3(-6)-2 \\&=-18-2 \\&=-20\end{aligned}[/tex]

[tex]\begin{aligned}4 x+4 &=4(-6)+4 \\&=-24+4 \\&=-20\end{aligned}[/tex]

The value of [tex]3x-2[/tex] and [tex]4x+4[/tex] are equal.

Thus, [tex]4x+4=3x-2[/tex]

Part c: Substituting [tex]x=5[/tex], we get,

[tex]\begin{aligned}3 x-2 &=3(5)-2 \\&=15-2 \\&=13\end{aligned}[/tex]

[tex]\begin{aligned}4 x+4 &=4(5)+4 \\&=20+4 \\&=24\end{aligned}[/tex]

The value of [tex]3x-2[/tex] is less than [tex]4x+4[/tex]

Thus, [tex]4x+4>3x-2[/tex]

Part d: Substituting [tex]x=-2[/tex], we get,

[tex]\begin{aligned}3 x-2 &=3(-2)-2 \\&=-6-2 \\&=-8\end{aligned}[/tex]

[tex]\begin{aligned}4 x+4 &=4(-2)+4 \\&=-8+4 \\&=-4\end{aligned}[/tex]

The value of [tex]3x-2[/tex] is less than [tex]4x+4[/tex]

Thus, [tex]4x+4>3x-2[/tex]

Final answer:

The value of 3x-2 is less than 4x+4

Thus, 4x+4>3x-2

Explanation:

Part a: 4x+4>3x-2

Part b: 4x+4=3x-2

Part c: 4x+4>3x-2

Part d: 4x+4>3x-2

Part a: Substituting x=0, we get,

[tex]\begin{aligned}3 x-2 &=3(0)-2 \n&=-2\end{aligned}[/tex]

[tex]\begin{aligned}4 x+4 &=4(0)+4 \n&=4\end{aligned}[/tex]

The value of 3x-2 is less than 4x+4

Thus, 4x+4>3x-2

Part b: Substituting x=-6, we get,

[tex]\begin{aligned}3 x-2 &=3(-6)-2 \n&=-18-2 \n&=-20\end{aligned}\begin{aligned}4 x+4 &=4(-6)+4 \n&=-24+4 \n&=-20\end{aligned}[/tex]

The value of 3x-2 and 4x+4 are equal.

Thus, 4x+4=3x-2

Part c: Substituting x=5, we get,

[tex]\begin{aligned}3 x-2 &=3(5)-2 \n&=15-2 \n&=13\end{aligned}[/tex]

[tex]\begin{aligned}4 x+4 &=4(5)+4 \n&=20+4 \n&=24\end{aligned}[/tex]

The value of 3x-2 is less than 4x+4

Thus, 4x+4>3x-2

Part d: Substituting x=-2, we get,

[tex]\begin{aligned}3 x-2 &=3(-2)-2 \n&=-6-2 \n&=-8\end{aligned}[/tex]

[tex]\begin{aligned}4 x+4 &=4(-2)+4 \n&=-8+4 \n&=-4\end{aligned}[/tex]

The value of 3x-2 is less than 4x+4

Thus, 4x+4>3x-2

Determine the general form of the equation for the circle x^2 + (y + 1)^2 = 2.

Answers

Answer:

x² + y² + 2y - 1 = 0

Step-by-step explanation:

The general form of the equation for the circle:

x² + y² + ax + by + c = 0

Where: a, b and c are constants.

For the given equation:

x² + (y + 1)² = 2

∴ x² + (y + 1) (y+1) = 2

∴ x² + y² + 2y + 1  = 2  ⇒ subtract 2 from both sides

∴ x² + y² + 2y + 1 - 2 = 2 - 2

∴ x² + y² + 2y - 1 = 0

So, the general form of the equation for the circle:

x² + y² + 2y - 1 = 0

PLEASE I NEED TO KNOW ASAP

i know this is probably easy but i don’t understand it.

1.666666667x10^3 in 1 decimal place not in standard form

would it be something like 1.06

Answers

3,400,000

I thaink but not shore if wrong i'm sorry

Answer:

666.6

Step-by-step explanation:

1.666666667*10^10^3= 666.6

The perimeter of a rectangle is 30 inches. Its length is three times its width. Write an equation to represent the problem

Answers

Answer:

Eqn of the problem: 2(3x + x) = 30

Solution: Width = 3.75 inches  and Length= 11.25 inches

Step-by-step explanation:

We are given;

The perimeter of the rectangle as 30 inches Length is 3 times its width

We are required to represent the equation of the problem;

Assuming the width = x inches, then;Length = 3x inches

The formula for getting the perimeter of a rectangle is;

Perimeter = 2 (l+w)

In this case;

2(3x + x) = 30

Therefore;

The equation for the problem is;

2(3x + x) = 30

8x=30

Thus;

8x = 30

  x = 3.75 inches

 3x = 11.25 inches

Hence, the with is 3.75 inches while the length is 11.25 inches

Quotient of 4 and a number increased by 10

Answers

Answer:

x+10/

Step-by-step explanation:

Quotient of 4 =divide by 4

a number increased by 10= x+10

Final answer:

The statement 'Quotient of 4 and a number increased by 10' can be translated into a mathematical expression as 4/x + 10, where x is the unknown number.

Explanation:

If you mean the quotient of 4 and a number, we call that unknown number 'x'. So, the quotient of 4 and a number x is written as 4/x. Then, according to your question, that quotient is increased by 10. In mathematics, 'increased by' typically equates to the operation of addition. Thus, the entire expression translates into mathematical terms as 4/x + 10.

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if there are 60 chocolate bars and they are one dollar each and I have 19 left how much money will I have

Answers

Answer:

60(if you sell all)

Right now you have: 41 dollars

Step-by-step explanation:

Answer: you will have 41 dollars.

Step-by-step explanation:

because if you had 60 chocolate and now you had 19 left you sold 41 chocolate bars and you multiply that by how much there are which is 1 dollar and 41 time 1 is 41.

91 tiles to make 13 hot plates. how many tiles to make 1 hot plate?​

Answers

Answer:

7 tiles

Step-by-step explanation:

91/13=7

Answer:

7

Step-by-step explanation:

if 91 tile = 13 hot plate

X tile = 1 hot plate

(let X represent the number of tiles for one plate)

cross miltiply: 91×1 =13×X

X = 91/13

X =7 tiles

PLEASE HELP ME MAKE HONOR ROLL PLEASE NEED HELP

Translate this phrase into an algebraic expression.

71 less than twice Julie's age
Use the variable j to represent Julie's age.

Answers

2j-71 = 71 less than twice julies age

Answer:

71 < 2 · j

Step-by-step explanation:

71 less than twice Julie's age

Use the variable j to represent Julie's age.

71, less than (<) twice (2) and j represents the age

PLEASE HELP < I NEED HELP, TRYING TO MAKE HONOR ROLL

Translate the sentence into an equation.
Twice the difference of a number and 7 equals 2 .
Use the variable x for the unknown number.

Answers

Answer:

2(x-7) = 2

Step-by-step explanation:

First, let's look at the first part -- "Twice the difference of a number and 7".  The difference between a number (x) and 7 means x-7.  It also says twice the difference, so we are going to multiply x-7 by 2.  So that ends us with 2(x-7)

The last part -- "equals 2" means we will set what we currently have to 2.  2(x-7) = 2

Answer:

2(x-7)=2

Step-by-step explanation:

The difference of a number and 7 is x-7 (difference means subtract)

Now the question says twice so that is what we do 2(x-7) now equal that to two 2(x-7)=2

The volume of industrial production increased ten times. What was this increase in percent?

Answers

Answer:

1000%

Step-by-step explanation:

Think of 1x10. This is kinda hard to explain but if lets say 1 is 100% of the total number then you mutiply it by 10 you also mutiply the percent which in this case was 100% of 1.

900 % is the correct answer UvU

Have a good day!

Will brought a 144-ounce cooler filled with water to soccer practice. He used 16 ounces from the cooler to fill his water bottle. He then took out 16 plastic cups for his teammates and poured the same amount of water into each cup.

Find the number of ounces of water, x, that Will could have poured into each cup.

Answers

Answer:

x ≤ 8

Step-by-step explanation:

The number of ounces of water x that Will could have poured into each cup is 8 or less than 8. by solving through inequality.

What is inequality?

Inequality is just like equation which expresses relationship between two or more variables but it is in greater than or less than form. It is just like:

x+ y<c.

How to form inequality?

Let the capacity of each cup be x.

According to question

16x+16<=144

16x<=144-16

16x<=128

x<=8.

Hence the number of ounces of water that Will could have poured into each cup is 8 or less than 8.

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16.3k + 19.2 + 7.5k = -64.1

Answers

You need to find "k", by isolating/getting "k" by itself in the equation

16.3k + 19.2 + 7.5k = -64.1     First combine like terms, 16.3k and 7.5k

23.8k + 19.2 = -64.1       Subtract 19.2 on both sides

23.8k = -83.3       Divide 23.8 on both sides to get "k" by itself

k = - 3.5

3x 2 - 6 = 10 - x 2

{±1}
{±2}
{±4}

Answers

Answer:

x = ± 2

Step-by-step explanation:

Given

3x² - 6 = 10 - x² ( add x² to both sides )

4x² - 6 = 10 ( add 6 to both sides )

4x² = 16 ( divide both sides by 4 )

x² = 4 ( take the square root of both sides )

x = ± [tex]\sqrt{4}[/tex] = ± 2

b {+2}

1111111111111111111111

what’s 12.3+0.61+100

Answers

Answer:

12.3 + 0.61 +100= 112.91

Step-by-step explanation:

All you have to do is make all the values have two place values and then add.

The last line of a proof represents

Answers

The last line of a proof represents: The conclusion!

Find the missing angle in the following right triangle with a second angle that measures 32degrees

Answers

Check the picture below.

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