x + 2y = 2 and 6x – 3y = 21 parallel, perpendicular, or neither

Answer:

[tex]y<-3\quad \mathrm{or}\quad \:y>4[/tex]

Step-by-step explanation:

so first lets solve -3y>9

[tex]-3y>9\\[/tex]

div both side by -3( rember to switch sign)

[tex]y<-3[/tex]

thats the first answer

2nd, lets solve 2y-6>2

[tex]2y-6>2[/tex]

add 6 to both side

[tex]2y>8[/tex]

div both side by 2(no switch sign)

[tex]y>4[/tex]

Answer:

[tex]x=\frac{y}{3b-7}[/tex]

Step-by-step explanation:

Rewrite the equation as [tex]3bx-7x=y[/tex].

Factor  x  out of  3 b x

[tex]x(3b)-7x=y[/tex]

Factor [tex]x[/tex] out of [tex]x(3b)+x*-7[/tex]

[tex]x(3b-7)=y[/tex]

Divide each term by [tex]3b-7[/tex]   and simplify.

Divide each term in [tex]x(3b-7)=y[/tex] by [tex]3b-7[/tex].

[tex]\frac{x(3b-7) }{3b-7} =\frac{y}{3b-7}[/tex]

Cancel the common factor of [tex]3b-7[/tex]

Given parameters:

Distance in a year = 18000miles

Car mileage = 24miles/gallon

Average cost per gallon = $2.72 per gallon

Problem;

Find the error in her calculation;

Step 1

18,000 miles/year    

18, 000 miles = 1,500 miles/month     -- Since there are 12months in a year

12 months

Step 2

1500 miles/month

      Car mileage  = 24miles/gallon

Gallons per month; [tex]\frac{1500}{24}[/tex]   = 62.5gallons/month

125 gallons/month   this is an error and should be 62.5gallons/month

12 miles/gallon  should be 24miles per gallon

Step 3

(125 gallons/month) x ($2.72/gallons) = $340 cost/month

Correct

Step 2 is wrong because it uses wrong values.

Answer:

Option 1

Step-by-step explanation:

Wilma made a mistake is step 2. Instead of dividing by 12, she should have divided by 24. She should budget $170 per month for fuel expenses.

Answer:

50

4 were incorrect

44/50 would make it 88%

Step-by-step explanation:

Answer:

1. There are 50 questions on the test.

2. He answered 4 questions incorrectly.

3. To make an 88 he would have gotten 44/50 questions right.

Answer:

you get a one cup measurments and pour milk to the 1

Step-by-step explanation:

ive done it before

Answer:

yes

Step-by-step explanation:

if you divide 18 by 3 you get six and if you divide 15 by 3 you get 5, so it simplifies to 6:3 which is the same as the ratio for rings

[tex]5x - (x - 2) \geq 2x - 4(x - 8)\\5x - x + 2 \geq 2x - 4x + 32\\5x - x - 2x + 4x \geq 32 - 2\\6x \geq 30\\x \geq 5\\[/tex]

Interval notation: [tex]x \in \lbrack 5, \infty \rangle[/tex]

Answer:

11

Step-by-step explanation:

The range of the data set is 11.

A 2-column table with 9 rows titled December Temperatures. Column 1 is labeled Day with entries 1, 2, 3, 4, 5, 6, 7, 8, 9. Column 2 is labeled Temperature (degrees Fahrenheit) with entries 33, 34, 42, 36, 39, 36, 39, 40, 44.

Here,

A 2 - column table with 9 rows titled December temperature.

Column 1 is labeled day with entries 1, 2, 3, 4, 5, 6, 7, 8, 9.

Column 2 is labeled temperature with entries 33, 34, 42, 36, 39, 40, 44.

What is range of data set?

The range is the difference between the highest and lowest values within a set of numbers.

Now,

For find the value of range set,

The highest value in given table = 44

The lowest value in given table = 33

Range of the data set = highest value - lowest value

                                 = 44 - 33

                                 = 11

Hence, The range of the data set is 11.

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Answer:

$3

Step-by-step explanation:

25 times 3=75

Answer:

Step-by-step explanation:

1.6

1.6 miles per hour is speed of Rafael.

speed is described as. the pace at which an object's location changes in any direction. Speed is defined as the distance traveled divided by the travel time. Speed is a scalar quantity because it just has a direction and no magnitude.

Given, Rafael is going for a walk. He takes 4 hours to walk 6.4 miles.

From the general formula of speed:

Speed = distance/time

In our case,

Distance= 6.4 miles

Time = 4 hours

Thus,

Speed = 6.4/4

Speed in miles per hour = 1.6

therefore, the speed of Rafael is 1.6 miles per hour.

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Answer:

Ok only if yo help me with my last question

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

Answer:

Step-by-step explanation:

c i think

A = Alex

B = Bart

C = Carl

B - C = 7

A + B + C = 42

C / 2 x 3 = A

System of equations could be used to determine the ages of all three brothers are :

x + y+ z = 42

x = 3+ 2z

y -z = 7

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Here, let suppose the ages of all the brothers Alex, Bart, and Carl be x,y, z respectively :

x = Alex

y = Bart

z = Carl

Then according too the question the :

The equation representing the sum of the ages of the three brothers is 42 is :

x + y+ z = 42

The equation representing Alex's age is 3 more than twice Carl's age is :

x = 3+ 2z

The equation representing the difference between Bart's and Carl's age is 7 years is :

y -z = 7

Therefore, system of equations could be used to determine the ages of all three brothers are

x + y+ z = 42

x = 3+ 2z

y -z = 7

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The correct verbal expression for 8n is "the product of 8 and n". therefore, option H is the correct choice.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
The correct verbal expression for 8n is "the product of 8 and n". Therefore, option H is the correct choice.

Option F "n more than 8" would be written as "n + 8".

Option G "the quotient of 8 and n" would be written as "8/n".

Option J "8 increased by n" would be written as "8 + n".

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Answer:

o resultado coreto é 59.001

Answer:

I think it is D.

Step-by-step explanation:

Answer:

Perpendicular

Step-by-step explanation:

They are perpendicular because the slopes are negative reciprocals.

Answer:

They are neither.

Step-by-step explanation:

They intersect at a non- 90 degree angle, so it cannot be perpendicular or parallel.

Answer:

  c. 6/15 = 10/25

Step-by-step explanation:

Using the hint, we can form the cross products of the offered choices:

a.  6(12) vs 9(9) ⇒ 72 vs 81 . . . not a proportion

b.  8(21) vs 16(10) ⇒ 168 vs 160 . . . not a proportion

c.  6(25) vs 15(10) ⇒ 150 vs 150 . . . IS A PROPORTION

d.  4(27) vs 14(6) ⇒ 108 vs 84 . . . not a proportion

__

The cross products are the same for choice C, so that is a pair of ratios that form a proportion:

  6/15 = 10/25

Answer:

45 degrees

Step-by-step explanation:

Since the angle x and angle 135 degrees are supplementary, you just have to minus 135 from 180 which the answer is 45 degrees.

The value of the angle x will be equal to 45 degrees.

An endlessly long row of evenly spaced dots that spans in both directions makes up a line. Its length is the only dimension it has. A geometry called an angle is created when two line segments, lines, or rays intersect.

Given that the line is crossing the two parallel lines making an angle of 135 degrees with one line. The value of x will be calculated by using the supplementary angle property.

x + 135 = 180

x = 180 - 135

x = 45

Therefore, the value of the angle x will be equal to 45 degrees.

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Answer:  Choice D) [tex]x \ge -6[/tex]

=========================================================

Explanation:

Taking the square root of a negative number leads to a nonreal result.

So we want the radicand to be 0 or positive

Set the stuff under the square root to be 0 or larger. Solve for x.

[tex]\frac{1}{3}x+2 \ge 0\\\\\frac{1}{3}x \ge 0-2\\\\\frac{1}{3}x \ge -2\\\\x \ge 3(-2)\\\\x \ge -6[/tex]

If x is -6 or larger, then [tex]\frac{1}{3}x+2[/tex] is 0 or larger leading to some real number for f(x).

The inequality sign does not flip because we multiplied both sides by a positive number. The inequality sign only flips when we multiply both sides by a negative number.

Answer:

56mph

Step-by-step explanation:

Answer:

3rd option down

Step-by-step explanation:

Simplify the inequality and you should get this:

-48[tex]\leq[/tex]-5x+2<-18  

-2 .     -2 .       -2

-50[tex]\leq[/tex]-5x<-20

Divide by -5

Remember to switch places since we are dividing by a negative number

You should get this 4[tex]\leq[/tex]x<10

The only number line that shows that properly would be the 3rd one down.  

Answer:

c

Step-by-step explanation:

a lotStep-by-step explanation:

Answer:

2,240

Step-by-step explanation:

Sara will have US$ 2,251.02 in the bank after 4 years for her trip to Italy.

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Investment of Sara during her 1st year of college = US$ 2,000

Duration of the investment = 4 years

Annual interest rate = 3%

2. Let's find the future value of this investment after 4 years, using the following formula:

FV = PV * (1 + r) ⁿ

PV = Investment of Sara during her 1st year of college = US$ 2,000

number of periods (n) = 4

rate (r) = 3% = 0.03

Replacing with the real values, we have:

FV = 2,000 * (1 + 0.03) ⁴

FV = 2,000 * (1.03) ⁴

FV = 2,000 * 1.12550881

FV = 2,251.02

Sara will have US$ 2,251.02 in the bank after 4 years for her trip to Italy. Later you round the answer and that gives you 2,240

plz mark me brainliest

Answer:

21=1/2n+5

There were 32 volunteers on the first day

Step-by-step explanation:

number of volunteers on the first day=n

21=number of volunteers on the second day

21=1/2n+5

Answer:

Step-by-step explanation:

Let m be the number of miles that evelyn can run in 60 minutes.

If evelyn can run 3 miles in 40 minutes, to calculate the number of miles she can run in 60 minutes, we will apply the equality postulate as shown;

3 miles = 40 minutes

m miles = 60 minutes

Cross multiply

40* m = 3* 60

40m = 180

Divide both sides by 40

40m/40 = 180/40

m = 180/40

m = 4.5 miles

The equation that can be used to find m is 40m = 180 and the value of m is 4.5miles

Answer:

a = -4 and b = -3

Step-by-step explanation:

Step 1: Solve 3a + 5b = -27 for a

3a + 5b = -27

3a + 5b + -5b = -27 + -5b

(Add -5b go both sides)

3a = -5b- 27

3a = -5b - 27

3 3

(Divide both sides by 3)

a = -5 b - 9

3

Step 2: Substitute -5 b - 9 for a in 4a + 10b = -46

3

4a + 10b = -46

4(-5 b - 9) + 10b = -46

3

10 b - 36 = -46

3

(Simplify both sodes of the equation)

10 b - 36 + 36 = -46 + 36

3

(Add 36 to both sides)

10 b = -10

3

10/3 b = -10

10/3 10/3

(Divide both sides by 10/3)

b = -3

Step 3: Substitute -3 for b in a = -5/3 b - 9

a = -5/3 (-3) - 9

a = -4

(Simplify both sides of the equation)

Answer:

3.5 per

Step-by-step explanation:

14/4=3.5

Answer:

Step-by-step explanation:

m<5 and m<4 are  supplementary angles => m<5 + m< 4 = 180

                                                                         m<4 = 180 -77 = 103

m<4 and m<2 are corresponding angles => m<4 = m<2 = 103

The measure of the angle m∠2 is 103.

The supplementary angles are defined as the angles having a sum of 180 degrees. The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

In the given image the given angle is m∠5=77°. The measure of the angle m∠2 will be calculated by using some of the angle properties.

m∠5 and m∠4 are supplementary angles:-

m∠5 + m∠4 = 180

m∠4 = 180 -77 = 103

m∠4 and m∠2 are corresponding angles => m∠4 = m∠2 = 103

Therefore, the measure of the angle m∠2 is 103.

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