Sylvain spent a total of 18 hours on English and math homework over the last 3 weeks. He spent twice as much time on English than on math. Let x represent the number of hours spent on English and y represent the number of hours spent on math.

x + y = 18. x = 2 y.

What is the solution of the system of equations?
(12, 6)
(6, 12)
(9, 9)
(15, 3)

Answers

Answer 1

Answer:

12, 6

Step-by-step explanation:

we have two equations

x + y = 18 .... . (i)

and x = 2y .... .(ii)

substituting the value of x from eq. (ii) in eq. (i)

2y + y = 18

3y = 18

y = 6

putting this value if y in equation (ii) to get x

x = 2 × 6

= 12

therefore,

(12, 6) is the solution to the system of equations

Answer 2
x = 2y

2y + y = 18 x + y = 18
3y =18 x + 6 = 18
y = 6 x = 12


(12,6)


Related Questions

A bag contains 3 red marbles, 5 blue marbles, and 4 black marbles. Jenna draws a black marble and does not replace it. What is the probability of drawing a black marble next?
A. 1/3
B. 1/4
C. 3/11
D. 4/11

Answers

Answer:

c: 3/11

Step-by-step explanation:

the first one is 4/12 which is 4 black and 12 total. the next one is 3/11 because there's 3 blacks and 11 total

Answer:

c

Step-by-step explanation:

From an 18-pound cut of meat, Mr. Rand cuts off steaks weighting 1 pound 15 ounces, 3 1/8 pounds, and 4 1/2 pounds. He divides up the rest into 9-ounces patties and sells them at 3 for $3.12. How much money does he receive for the patties?

Answers

Answer is in the picture

The amount of money received by him will be $15.60.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division

The amount will be calculated as follows:-

The cut off amount = 18 - ( 1(15/16) -3(1/8)-4(1/2) = 8(7/16)

Now 16 ounces make a pound so divide by 16 we get:-

(135/16) ÷ ( 9 / 16 ) = ( 135/16 ) x ( 16 / 9 ) = 15

Dividing 15 by 3 we get 5 packs of 3 patties for $3.12

So amount = 3.12 x 5 = $15.60

Therefore the amount of money received by him will be $15.60.

To know more about Expression follow

https://brainly.com/question/723406

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The figure is made up of a cylinder and a cone.

What is the exact volume of the figure?

Answers

Answer:

52π

Step-by-step explanation:

Volume of the cone, 5×3²×π/3 = 15π

Volume of the Cylinder, π×3²×4=36π

Adding them, 15π+36π=51π

Answered by GAUTHMATH

[tex]\displaystyle\bf \boxed{ V_{cylinder}=\pi r^2h \ ; \ \ V_{cone}=\frac{1}{3} \cdot \pi r^2h} \\\\\\V_0=V_{cylinder}+V_{cone}=? \\\\V_0=\frac{1}{3} \cdot 3^2\cdot 5\pi +3^2\cdot4\pi =15\pi +36\pi =\boxed{51\pi \ ft^3}[/tex]

The scatter plot shows the number of pumpkins that have been picked on the farm during the month of October:

A scatter plot with points showing an upward trend with points that are moderately spread out from a line of best fit. The y axis is labeled Number of Pumpkins and the x axis is labeled Days in October

Part A: Using computer software, a correlation coefficient of r = 0.51 was calculated. Based on the scatter plot, is that an accurate value for this data? Why or why not? (5 points)

Part B: Instead of comparing the number of pumpkins picked and the day in October, write a scenario that would be a causal relationship for pumpkins picked on the farm. (5 points)

Answers

Part A: The correlation coefficient of r = 0.51 is accurate based on the scatter plot given.

Part B: A scenario that would be a causal relationship can be quantity of fertilizer used vs kg of pumpkins picked on the farm.

What is a Scatter Plot?

The association between two variables that are correlated can be shown by a scatter plot which has a trendline along which the data points are located.

If the trendline slopes upwards from the left to the right, it shows a positive correlation and vice versa.

Also, if the farther the data points are to each other along the trendline, the farther is it the correlation coefficient, r, is from 1 or -1. If they are moderately apart,, the correlation coefficient would be somewhere around 0.5/-0.5 and 0.65/-0.65, as the case may be.

Part A:

The correlation coefficient of r = 0.51 is accurate based on the scatter plot given.

Part B:

A scenario that would be a causal relationship can be quantity of fertilizer used vs kg of pumpkins picked on the farm.

Learn more about scatter plot on:

https://brainly.com/question/6592115

DeAndre Hopkins caught a 66 yard pass during the game. How many feet was the football thrown?

Answers

Answer:

198 ft

Step-by-step explanation:

3 ft = 1 yd

66 yd * 3 ft/ 1 yd = 198 ft

Help please!! I need help on this question I’m stuck on it this is due like in 10 minutes lol

Answers

Answer:

I think the last one.

Step-by-step explanation:

Because whenever you have 5 purple shells you have 3 white shells. So 5p = 3w like how 10p = 6w.

i think the last one should be correct too

2[7(9 – 5)2] – 33
Problem

What is the value of the expression above?

Answers

The value of the expression is 79

Answer= 79

Step-by-step explanation:

2[7(9-5)2]-33

=2[7×4×2]-33

=2[7×8]-33

=2×56-33

=112-33

=79

A man received 7 per cent interest on a loan of $200 for 1 year. How much interest did he receive?

This is making a tad confused, even though i'm sure its easy to solve.

Answers

He received $14 because 7% of 200 = 14

Please help! I don’t quite understand this one.

Answers

Answer:

well i now that but i cant tell its so long to explain

Step-by-step explanation:

sorry

Rewrite 24.5 as a mixed number in lowest terms.



Rewrite 0.85 as a fraction in lowest terms.

Answers

Answer:

49/2, 17/20

Step-by-step explanation:

24.5=245/10=245÷5/10÷5=49/2

0.85=85/100=85÷5/100÷5=17/20

Answer:

Mixed numbers

a)  24  1/2  

b) 85/100 = 17/20

Step-by-step explanation:

a) as they asked mixed number we only have to create a fraction for the decimal 0.5 = 1/2 and rewrite 24 1/2 = 24.5

If the question asked for lowest terms 24/5 then 24.5% = 245/1000 = 49/200

b) rewrite 0.85 as a fraction in lowest terms

0.85 = 85% = 85/100 = 17/20

Triangle ABC is transformed to obtain triangle A′B′C′:


Which statement is correct for Triangle ABC. and Triangle A prime B prime C prime.?

A. Triangle ABC is similar to triangle A prime B prime C prime. because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 3. and then rotating it about the origin by 180 degrees

B. Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 4. and then rotating it about the origin by 90 degrees

C.Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 4. and then rotating it about the origin by 180 degrees

D. Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 6. and then rotating it about the origin by 90 degrees

Answers

Exactly what the other guy said
They are similar because the have the same angles just different sizes

Which sequence of transformations will change figure PQRS to figure P′Q′R′S′? (5 points)

A coordinate grid is labeled from negative 5 to 0 to 5 on both x and y axes at increments of 1. Figure PQRS has P at ordered pair 1, 2, Q at 2,1, R at 3,2, S at 3,3.

Figure P prime Q prime R prime S prime has P prime at ordered pair 1,negative 2, Q prime at 2,negative 1, R prime at 3,negative 2 and S prime at 3,negative 3.
Counterclockwise rotation about the origin by 180 degrees followed by reflection about the x-axis
Counterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axis
Counterclockwise rotation about the origin by 270 degrees followed by reflection about the x-axis
Counterclockwise rotation about the origin by 270 degrees followed by reflection about the y-axis

Answers

Answer:

Counterclockwise rotation about the origin by 180 degrees followed by reflection about the x-axis

Step-by-step explanation:

Eva conducted a survey to find out the amount of time high schoolers spend surfing the Internet. From the data collected, the range of time spent was 3 hours. What does this range say about the data?

A. The quotient between the greatest amount of time and the least amount of time spent surfing the Internet is 3 hours.

B. The difference between the greatest amount of time and the least amount of time spent surfing the Internet is 3 hours.

C. All the students surveyed spend exactly 3 hours surfing the Internet.

D. All the students surveyed spend an average of 3 hours surfing the Internet.

Answers

Answer

The difference between the greatest amount of time and the least amount of time spent surfing the Internet is 3 hours.

Explanation

The meaning of range is the difference between the largest and smallest numbers in a set.

In this case, it's possible that one of the students spends no time surfing the internet, and another student spends 3 hours. The range of the data would be 3. It's also possible that some students spend 20 hours surfing the internet, and other students spends 23 hours surfing the internet (although, that's obviously unreasonable).

Answer:

B. The difference between the greatest amount of time and the least amount of time spent surfing the Internet is 3 hours.

Step-by-step explanation:

I'm going to leave this person anonymous, but they have deleted 2 of my answers and I'm sick of it, so please stop deleting my answers I'm not trying to violate brainly's rules in any way, shape, or form.

When you add 6 to the product of a number and 10, the result is 36. What is the number?
A) 3
B) 6
C) 2
D) 4

Answers

Answer: the number is 3.

Step-by-step explanation:

(x × 10) + 6 = 36

[(3) × 10] + 6 = 36

Answer:

3

Step-by-step explanation

First let's create an equation

Let x = number

Product is outcome of multiplication

The product of 10 and a number can be written as 10x

Were supposed to add 6 to the product and that should equal 36

So the equation is 10x + 6 = 36

We now solve for x using basic algebra

10x + 6 = 36

Subtract 6 from both sides

10x = 30

Divide both sides by 10

X = 3

A theater wants to build movable steps that they can use to go on and off the stage. They want the steps to have enough space inside so they can also be used to store props.

How much space is inside the steps?
Give an exact answer (do not round).

Give correct answer and I will give you brainlist

Answers

I cannot see the picture, I apologise

Answer:

0.045 m^3

Step-by-step explanation:

0.2 m x 0.15 m x 0.5 m = 0.015 m^3

0.2 m x 0.3 m x 0.5 m = 0.03 m^3

0.045 m^3

The graph of a function is shown:

A coordinate grid is shown from negative 5 to 5 on both axes at increments of 1. A graph shows three straight lines. The first straight line joins ordered pair negative 3, negative 2 with negative 2, 2. The second straight line joins ordered pair negative 2, 2 with 2, 2. The third straight line joins ordered pair 2, 2 with 4, 0. The ordered pair negative 3, negative 2 is labeled as A, the ordered pair negative 2, 2 is labeled as B, the ordered pair 0, 2 is labeled as C, the ordered pair 2, 2 is labeled as D, and the ordered pair 4, 0 is labeled as E.
In which part of the graph is the function increasing? (5 points)

AB
BC
CD
DE

Answers

Mark as brainalist
Answer is AB
the answer is AB hope this helps

The cost to rent a bike at the beach is $6.75 an hour plus an insurance fee of $15. Marcia spent $48.75 when renting a bike on a recent trip to the
beach. For how many hours did Marcia rent the bike?
hours

Answers

Answer:

5 hours

Step-by-step explanation:

6.75 * 5 hours = 33.75$. Then 33.75 + 15 $ fee= 48.75$. You can also do 48.75- 15= 33.75/6.75= 5 hours. Hope it helps :D

Answer:

5 hours love :)

Step-by-step explanation: 48.75- 15= 33.75/6.75= 5 hours.

PLEASE HELP THIS QUESTION IS SO ANNOYING!!

Answers

ANSWER- 23 , 76


Explanation- just did it :)
THE ANSWER IS 23,76 !!!

pls help find the angle

Answers

60+x=3x-70
-2x=-130
X=60.5






Hehehdhdhrhhdhdhdhdbdhhdhd X=60.5

1 2/3 times 2 1/2 plz help

Answers

Answer:

4 1/6

Step-by-step explanation:

One of the faster ways in which we can do this problem is to change the mixed numbers 1 2/3 and 2 1/2 to improper fractions.

Then the product of 1 2/3 and 2 1/2 is 5/3·5/2, which comes out to 25/6.

25/6 in turn comes out as 4 1/6 (answer)

You can turn these into improper fractions to help you. 5/3 x 5/2 = 10/6
As a mixed number your answer is 1 4/6

Which of the following expressions are equivalent to -\dfrac{2}{-13}−
−13
2

minus, start fraction, 2, divided by, minus, 13, end fraction?

Answers

Answer:

Step-by-step explanation:

We are given:

     

      2

- ----------

    -13

Since a negative number (-2) divided by another negative number results in a positive number,

      2

  ----------

     13

Both Answers A and B are correct; the final value in each case is +2/13.

The equivalent expression will be (-2)/(-13) and-(-2/13) so option (A) and option (B) both will be correct.

What is numerator and  denominator?

In such a fraction, the value that appears above the horizontal line is referred to as the numerator. It represents the number of pieces removed from the whole.

The denominator of a fraction is the numerical value that comes before the brings together various.

If we divide two numbers by each other then the upper word is called the numerator, and a lower word is called the denominator. For example a fraction 1/5 here 1 will be the numerator and 5 will be denominated.

Given that[tex]-\dfrac{2}{-13}[/tex]  now since the multiplication of - and - quantity is always positive so - and - is positive so it will be 2/13

If you take both options A  and B in both options the negative sign going to cancel and it will give a positive value.

Hence "The equivalent expression will be (-2)/(-13) and-(-2/13)".

For more about numerators and denominators https://brainly.com/question/19613319

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please help if you can and if you know how to help me understand these Im all ears.

Answers

Aight let's answer this step by step

What you need to know is if two values are equal either one will be similar to the other it's only the format that's different if you calculate each of the fractions you'll see each pair is equal except for the last option

Where if calculated

8/3=2.67 but

5/4.8=1.04

Therefore values aren't equal to each other

Values aren’t equal to each other

The distance between port M and port N is 162 mi. A ship left port M with a speed of 45 mph. In 45 minutes another ship left port N and went towards the first ship with a speed of 36 mph. How long after the departure of the first ship will the two ships meet?

Answers

Answer:

900 minutes

To get explanation go here:

https://brainly.com/question/14424494

the answer is 900 minutes

I need help please! Not sure on this one.

Answers

Answer:

The scale factor is 0.5

Step-by-step explanation:

Figure A is 4 blocks wide and 4 blocks tall, Figure B is 2 blocks tall and 2 blocks wide, to get Figure B from Figure A you would need to scale it down by half (0.5)

This would be 0.5 for the scale factor

Hello! Please help ASAP!!!

Turn this problem into a Pythagorean Theorem diagram

Aleena’s car is 7 miles north from Starbucks. Aryona’s car is located 4 miles west from Aleena. How far is Aryona from the Starbucks.

Answers

Square root of 65 so the equation would be 7^2+4^2=c^2
The square root of 65 so the equation would be 7^2+4^2=c^2

please help me find the answer or at least give me the formula

Answers

Answer:

[tex]2\sqrt{2x}[/tex] or [tex]8x^2[/tex]

Step-by-step explanation:

first you find the distance between P and O which is 4n (use the distance formula -- [tex]\sqrt{\left(x_1-x_2\right)^2+\left(y_1-y_2\right)}[/tex])

then find the distance between O and Q also using the distance formula; it gives you 4n

then find the hypotunuse by using the pythagorean theorem, [tex]a^2+b^2=c^2[/tex] which would be [tex]4n^2+4n^2=hypotenuse[/tex] and when you simplify it, you get [tex]8x^2[/tex] and if you need it in radical form, it would be [tex]2\sqrt{2x}[/tex]

Answer:

[tex]Hypotenuse = 4n \sqrt{2} [/tex]

Step-by-step explanation:

Catethus1=4n

Catethus2=4n

Hypotenuse=?

[tex]Hypotenuse= \sqrt{{(catethus1)}^{2} + {(catethus2)}^{2}} \: = \sqrt{{(4n)}^{2} + {(4n)}^{2}} \: = 4n \sqrt{2} [/tex]

Find a number which decreased by 10 is 4 times its opposites.

Answers

Answer:

40

Step-by-step explanation:

I am pretty sure it’s 40.

Aryona’s ship is 43 miles west off the dock. Aleena’s yacht is 25 miles north from Aryona. How far is Aleena from the dock?

Answers

Answer:

79 miles :p

Step-by-step explanation:

43 + 25

aleena is 79 miles from the dock

Give correct answer and I will give you branlist

Answers

Hello!

Space = 5 cm + 10cm + 10cm + 20cm + 22cm + 30cm => space = 15cm + 10cm + 20cm + 22cm + 30cm => space = 25cm + 20cm + 22cm + 30cm => space = 45cm + 22cm + 30cm => space = 67cm + 30cm => space = 97cm²

Good luck! :)

Answer:

97cm square

Step-by-step explanation:

50 points !! Select the correct answer.
Which table represents the increasing linear function with the greatest unit rate?
A.
x y
2 16
5 10
B.
x y
2 14
6 12
C.
x y
2 -24
5 -15
D.
x y
2 -12
6 -16
E.
x y
2 -19
6 -17

Answers

Answer:

C.

x y

2 -24

5 -15

Step-by-step explanation:

We need to find the slope for each table

A.

x y

2 16

5 10

m = (y2-y1)/(x2-x1) = (10-16)/(5-2) = -6/3 = -2

B.

x y

2 14

6 12

m = (y2-y1)/(x2-x1) = (12-14)/(6-2) = -2/4 = -1/2

C.

x y

2 -24

5 -15

m = (y2-y1)/(x2-x1) = (-15--24)/(5-2) = (-15+24)/3 = 3

D.

x y

2 -12

6 -16

m = (y2-y1)/(x2-x1) = (-12--16)/(6-2) = (-12+16)/4 = 1

E.

x y

2 -19

6 -17

m = (y2-y1)/(x2-x1) = (-17--19)/(6-2) = (-17+19)/4 = 1

The greatest unit rate is the largest slope

 

 

D is correct answer
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