2x + y = 4
y = 3x - 1
Is (1, 2) a solution to both equations?
yes or no?​

Answers

Answer 1

Answer: yes

Step-by-step explanation:

2x+y=4 x=1 and y=2 2(1)+2=4

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


Related Questions

Evaluate each expression.
6! =
3! • 2! =
6!/3! =

Answers

Answer:

6! = 6*5*4*3*2*1  =  30*12*2 = 30*24 = 720

3! * 2! =  3*2*1 * 2*1  = 6*2 = 12

6! / 3! =  720 / 12 = 60

Step-by-step explanation:

6! = 6*5*4*3*2*1  =  30*12*2 = 30*24 = 720

3! * 2! =  3*2*1 * 2*1  = 6*2 = 12

6! / 3! =  720 / 12 = 60

The value of the expression will be 6! = 720, 3! • 2! = 12, and 6! / 3! = 120.

What is the factorial of n?

The factor of n is given as the production of the number n, (n - 1), (n - 2), ..., and 1. Then the factorial of n is given as

n! = n x (n - 1) x (n - 2) x ... 3 x 2 x 1

The expressions are

6! = 6 x 5 x 4 x 3 x 2 x 1

6! = 720

3! • 2! = 3 x 2 x 1 x 2 x 1

3! • 2! = 6 x 2

3! • 2! = 12

6! / 3! = 720 / 6

6! / 3! = 120

More about the factorial of n link is given below.

https://brainly.com/question/16003649

#SPJ2

What is a segment with its endpoints on the planes of
the bases that is perpendicular to the planes
of the bases?

Answers

Answer:

Altitude of a Cylinder

Step-by-step explanation:

Altitude of a Cylinder can be seen as a form of segment between the plane of a base to the plane of another base in which the height of the cylinder can be said to also be the length of the altitude meaning both the height and the length of the cylinder can be said to be equal which is why the axis of a cylinder is the segment which contains the centers of the two bases.

ALTITUDE OF A CYLINDER can also be seen as the distance between the bases of a cylinder which is the shortest line segment that occur between the possibly extended bases which is why ALTITUDE OF A BASE is a segment with its endpoints on the planes of

the bases that is perpendicular to the planes

of the bases.

8x-2y=6 and 3x+3y=-24

Answers

1. x= 3/4 + y/4
y=-3+4x
2. x=-8 - y
y= -8 -x

Answer:y= -8 -x

Step-by-step explanation:

A snack stand sold hot dogs and chips at a recent game. The hot dogs cost $2.50 and the snacks cost $0.75. After the game, they tallied 175 transactions totaling $262.50.

Represent the linear system in an augmented matrix:
ANSWER IS
[ 1 ] [ 1 ] [ 75 ]
[ 2.5 ] [ 0.75 ] [ 262.5 ]

Answers

Answer:

[1] [1] [175]

[2.5] [0.75] [262.5]

# of hotdogs sold was 75

# of chips sold was 100

Step-by-step explanation:

got it right on edge ya digg

The number of hot dogs is 75 while the number of snacks is 100.

The linear equation to solve the question will be:

h + s = 175 ........ i

2.50h + 0.75s = 262.50 ........ ii

From equation i, s = 175 - h ..... iii

Put equation iii into ii

2.50h + 0.75s = 262.50

2.50h + 0.75(175 - h) = 262.50

2.50h + 131.25 - 0.75h = 262.50

Collect like terms

2.50h - 0.75h = 262.50 - 131.25

1.75h = 131.25

h = 131.25/1.75

h = 75

The number of hot dogs is 75 while the number of snacks is 100.

Read related link on:

https://brainly.com/question/16054860

A scale on a map shows that 2.5 centimeters represent 15 kilometers.
What number of actual kilometers are represented by 17.5 centimeters on the map?

Answers

Answer:

cm for centimeters, km for kilometers.

 

If 2.5cm → 15 km, then

 17.5 cm → x km

 

x= (15km*17.5cm)/(2.5cm)=105 km

Step-by-step explanation:

A recipe requires ¾ cup of nuts for 1 batch of muffins. Write the number of batches of muffins that can be made using 7 ½ cups of nuts.

Answers

Answer:

10 batches

Step-by-step explanation:

3/4 cups = 1 muffins

15/2 cups = x muffins

For x muffins,

3/4 × X = 15/2 × 1

3x × 2 = 15×4

6x = 60

Divide both sides by 6

6x/6 = 60/6

X = 10

Hence 10 batches of muffins will be made from 15/2 cups of nuts.

Can anybody find the measure of the major arc ILK?


click on image for full picture

Answers

IL is a diameter, which is a straight line, which is equal to 180 degrees.

The arc of IL would be 180 degrees

You are told the arc of KL is 30 degrees.

The major arc of ILK would be 180 + 30 = 210 degrees.

David loves his dog Thor and he wants to create a rectangular enclosure that has an area of 1600ft² for the dog to stay in while no one is home. David has a total of 120 feet of fencing available and he wants to use the wall of his garage as one of the sides of the enclosure. What are the dimensions of the enclosure?

Make a Sketch of the rectangular enclosure and label the sides using variable(s).

Write and solve an equation(s) that model this situation.

What are the dimensions of the rectangular enclosure?

Answers

Answer:

80 feet by 20 feet

Step-by-step explanation:

Area of the rectangular enclosure = 1600ft²

Area, lw=1600

w=1600/l

Perimeter, 2w+l=120 feet

Substituting w=1600/l into the perimeter

2(1600/l)+l=120

3200/l+l=120

[tex]\dfrac{3200+l^2}{l}=120\\ 3200+l^2=120l\\l^2-120l+3200=0\\l^2-40l-80l+3200=0\\l(l-40)-80(l-40)=0\\(l-40)(l-80)=0\\l-40=0\:or\:l-80=0\\l=40\:or\:l=80[/tex]

When l=40, w=1600/40=40 feet

When l=80, w=1600/80=20 feet

Since the enclosure is rectangular, the acceptable dimensions are:

Length =80 feet

Width =20 feet

Thiago and Yasmine each bought the same microwave.

Thiago used the 20% off coupon and paid $100.

Yasmine used the $20 off coupon.

How much did she pay?

Answers

Answer:

$105

Step-by-step explanation:

20% of $125 = $100

so the original price is $125

Answer:$100

Step-by-step explanation:

if they both used the 20% off coupon for the same microwave which is the same price without the coupon then with the coupon it would also be the same price

Easy Question

Topic: Volume

Focus on question 10

Answers

Answer:

a 120 cm^3

b 70 cm^3

Step-by-step explanation:

The volume of a right rectangular prism is given by

V = l*w*h

10 a  V = 12*2*5

          =120 cm^3

10 b V = 2.5 *8 *3.5

           =70 cm^3

Answer:

120 cm^3;70 cm^3

Step-by-step explanation:

Volume = l * w * h

That means...

a) Volume = 12cm * 2cm * 5cm = 120 cm^3

b) Volume = 2.5cm * 8cm * 3.5cm = 70 cm^3

Solve this please!!!

Answers

Answer:

x = 17

Step-by-step explanation:

These angles are supplementary so (2x + 5) + (8x = 5) = 180 then you just do the algebra

Please mark Brainliest :)


4. A class has 12 boys and 15 girls. The teacher randomly picks one child to lead
the class in singing.
What is the probability that the teacher picks a boy?

Answers

Answer:4/9

Step-by-step explanation:

12/27 simplified is 4/9

(12 is for the boys 27 is the number of students)

If Jason weighs 227 and can lose 3 pounds a month what will be his weight after 7 months

Answers

Answer:

206

Step-by-step explanation:

Answer:

206 pounds

Step-by-step explanation:

what is 1+1 plus 2 divided by 35 added by 6 subtracted by 30

Answers

Answer:

-23.8857

Step-by-step explanation:

1+1+2= 4

4/35+6= 6.11429

6.11429-30= -23.8857

What is the common denominator of StartFraction 1 Over a EndFraction + StartFraction 1 Over b EndFraction in the complex fraction StartFraction 1 Over a EndFraction minus StartFraction 1 Over b EndFraction divided by StartFraction 1 Over a EndFraction + 1 Over b EndFraction?
a2 b2
a – b
a + b
ab

Answers

Answer:

ab

Step-by-step explanation:

Answer:

Option D : ab

Step-by-step explanation:

correct on e2020

A group of 5 families at Baileys Middle School sold magazine subscriptions to raise money for the school. ​ $6.00, $7.00, $4.00, $5.00, $3.00 ​ ​What was the median amount of money raised?

Answers

Answer:

The median amount of money raised is $5.00

Step-by-step explanation:

To find the median amount of money raised, we will follow the steps below:

First, arrange the data giving in ascending order. That is

$6.00, $7.00, $4.00, $5.00, $3.00

We will arrange it in ascending order, hence

$3.00, $4.00, $5.00,  $6.00, $7.00

The median is the middle number, we will now proceed to take the middle number.

The middle number is $5.00

Therefore, the median amount of money raised is $5.00

The median amount of money raised by the 5 families is $5.00.

To find the median amount of money raised by the 5 families, we first need to arrange the amounts in ascending order:

$3.00$4.00$5.00$6.00$7.00

The median is the middle number in a sorted, ascending or descending, list of numbers. Since there are 5 numbers, the median is the third number in this ordered list. Therefore, the median amount of money raised is $5.00.

What is 60% of 60 minutes?

Answers

Answer:

36 minutes

Step-by-step explanation:

60(.6)= 36

60% = 60/100 = 6/10

6/10 of 60 =
60/10=6
6*6=36

Answer= 36 minutes

Each side length is tripled. Describe the change in the area. What is the
new area?
6.4 cm
4 cm
5 cm

Answers

4cm Hopes I helped ..............

Please help with this math

Answers

Answer:

I believe it’s C

Step-by-step explanation:

let me know if right if am mark brainliest pls

Somebody help me!!!
What is the area of the rectangle in the coordinate plane?

Answers

Answer:

The answer is 5 x 13. Google it bruh

Step-by-step explanation:

In 1906 Americans consumed an average of 26.85 gallons of whole milk per year. By 1998 the average consumption was 8.32 gallons. What is the percent decrease in consumption of whole milk?

Answers

Answer: 69.01%

Step-by-step explanation:

In 1906 Americans consumed an average of 26.85 gallons of milk per year while by 1998 the average consumption was 8.32 gallons.

To get the percent decrease in consumption of whole milk goes thus:

We first find the amount of decrease in the milk consumed. This will be:

= 26.85 - 8.32

= 18.53

Percentage decrease

= 18.53/26.85 × 100

= 0.6901 × 100

= 69.01%

9 m
11 m
16 m
4 m
Find the area of this figure.

Answers

Answer:

Can u send picture with it pls so i can figure it out?

What are the two shapes

Step-by-step explanation:

rectangle: length times width

triangle:  base times height divided by 2

parallelgram: Base times height

square: side times side

*If you get it right then follow me on roblox: Supertasticgg

and sub to Flamingo

ANd almost forgot trapezoid: base 1 + base 2 times by height then divide with 2

The areas of the squares adjacent to two sides of a right triangle are 32units^2 and 32 units^2. Find the length, x, of the third side of the triangle.

Answers

Answer:

The length of the third side of the triangle is 8 units

Step-by-step explanation:

Here, since the two sides are adjacent a square, what this means is that the length of the square equals the length of the sides of the triangle adjacent to it.

Mathematically, the formula for the area of a square is L^2

With an area of 32 square units, the length of the side of this triangle is thus √(32) =

4√2 units

So we have two sides of the right triangle with length 4√2 units

Now we should know that this right triangle is an isosceles right triangle since the lengths of the adjacent and the opposite are equal.

Now to calculate the length of the third side which is the hypotenuse, we make use of the pythagoras’ theorem which states that the square of the longest side of a right triangle which is the hypotenuse is equal to the sum of the squares of the other two sides

Thus mathematically, the square of the hypotenuse length is 32 + 32 = 64

Let’s call the hypotenuse h for documentation purposes

h^2 = 64

h = √64

h = 8 units

Answer:

8

Step-by-step explanation:

khan is never wrong :3

Lenny can choose between apple juice, orange juice, and fruit punch. She can order a small, medium, and large. If she chooses a drink at random, what is the probability she chooses a medium orange juice?

Answers

Answer:

1/9 chance

Step-by-step explanation:

3 options and 3 choices probability of picking orange juice is 1/3 chance and probability of pickinkg a medium is 1/3 chance so you multiply dem to get 1/9

She has a 1/9 chance. Hope I helped good luck

Which correctly describes the consistency of the speeds of the cars in the two races? The speeds in race A are likely to be near 170 mph and the speeds in race B are likely to be near to 165 mph. The speeds in race A are likely to be near 153 mph and the speeds in race B are likely to be near to 145 mph. The speeds in race A are likely to be near 120 mph and the speeds in race B are likely to be near to 125 mph. The speeds in race A are likely to be near 145 mph and the speeds in race B are likely to be near to 153 mph.

Answers

This question is not complete.

Complete question

The box plots show the average speeds, in miles per hour, for the race cars in two different races.

Average Speeds of Cars in Race A

120.

125

130

135

140

145

150

155

160

165

170

Find attached to this question, the picture of the box plots.

Which correctly describes the consistency of the speeds of the cars in the two races?

a. The speeds in race A are likely to be near 170 mph and the speeds in race B are likely to be near to 165 mph.

b. The speeds in race A are likely to be near 153 mph and the speeds in race B are likely to be near to 145 mph.

c. The speeds in race A are likely to be near 120 mph and the speeds in race B are likely to be near to 125 mph.

d. The speeds in race A are likely to be near 145 mph and the speeds in race B are likely to be near to 153 mph.

Answer:

d. The speeds in race A are likely to be near 145 mph and the speeds in race B are likely to be near to 153 mph.

Step-by-step explanation:

For the boxplot for Race A, the following is obtained from the attached diagram

The range of speed of the race is= Highest - Lowest

170 - 120= 50

The 1st Quartile is = 142

The 2nd Quartile is = 153

The 3rd Quartile is = 165

The Inter quartile range = 3rd quartile - 1st quartile = 165-142= 23

For the boxplot for Race B

The following values is obtained from the attached image.

The range of speed of the race is

Highest speed - Lowest speed

165 - 125= 40

The 1st Quartile is = 139

The 2nd Quartile is = 145

The 3rd Quartile is 150

The Inter quartile range = 3rd quartile- 1st quartile = 150 - 139 = 11

From the values above, we can see that ,

The speeds in race A are likely to be near 145 mph and the speeds in race B are likely to be near to 153 mph.

What are the solutions to the quadratic equation (5y+6)2=24?

Answers

Answer:

You chose the right answer

y = [ -6 + 2 root(6)]/5   or  y = [-6 - 2 root(6)]/5

Step-by-step explanation:

from  (5y + 6)^2 = 24

we can take the square root of both sides

(5y + 6)  =  + root(24)  or   (5y + 6) = -root(24)

5y + 6 =  2*root(6)     or  5y + 6 = - 2 root(6)

y = [ -6 + 2 root(6)]/5   or  y = [-6 - 2 root(6)]/5

Answer:

a

Step-by-step explanation:test on e

Need help finding the answer

Answers

Answer: x=2

Use math-way and put 3x+4/6x-2=9/9

The amount a money in the bank account can be expressed by the exponential equation A=300(1.005)^12t where A is the amount in dollars and t is the time in years. About how many years will it take for the amount in the account to be more than $900?

Answers

Answer:

It will take more than 18.35 years for the amount in the account to be more than $900

Step-by-step explanation:

The amount in the bank account can be expressed by the exponential equation :

[tex]A=300(1.005)^{12t}[/tex]

Where A is the amount in dollars

t is the time

We are supposed to find About how many years will it take for the amount in the account to be more than $900

So, [tex]300(1.005)^{12t} >900[/tex]

[tex](1.005)^{12t} > \frac{900}{300}[/tex]

[tex](1.005)^{12t} > 3[/tex]

t>18.35

Hence It will take more than 18.35 years for the amount in the account to be more than $900

Answer:

19th year

Step-by-step explanation:

19th year

Elan surveyed a random sample of 65 students at his high school. He asked them which subject is their first class on Mondays. There are 894
students in his school.
First Class Percent of Students
English
17%
Math
28%
History
40%
Science
15%
Choose two inferences that can be made from the results.
O A. Approximately 17% of all students in the city have English first on Mondays.
B. Approximately 28% of the students at Elan's school have Math first on Mondays.
C. Approximately 40% of the students at Elan's school do not have History first on Mondays.
OD. Approximately 85% of the students at Elan's school do not have Science first on Mondays.

Answers

Answer:

B and D are correct

Step-by-step explanation:

A isn't correct because the survey wasn't out of students in the city, it was out of people attending Elan's school.

B is correct because the survey said 28% of students at Elan's school have math first on mondays.

C isn't correct because the survey said the exact opposite.

D is correct because only 15% of students at Elan's school have science first on mondays

Answer:

B and D

TRUST ME

Step-by-step explanation:

When Belinda asked him to what pages his book was opened, he replied that the product of the facing pages was 87,912. To what pages did Theo open his textbook?

Answers

Final answer:

To determine the page numbers, the product of two consecutive page numbers (n and n+1) was calculated to match 87,912, leading to the solution that Theo's textbook was opened to pages 296 and 297.

Explanation:

To find out to which pages Theo opened his textbook, when the product of the facing pages was 87,912, we should realize that facing pages in books have consecutive numbers. Therefore, if one page is n, the facing page would be n+1. The product of these two pages is n(n+1)= 87,912. We are solving a quadratic equation here.

Starting with an approximation, square roots of numbers near 87,912 can help identify potential page numbers. The square root of 87,912 is a bit less than 300 (since 300² = 90,000). Therefore, one of the page numbers will be just under 300, and the other just above.

Attempting a few calculations, we notice that 296² = 87,616 and 297² = 88,209. Between these two, 296 × 297 = 87,912, giving us the page numbers Theo's book is open to: 296 and 297.

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