What is the solution to the system of linear equations below? 2/5x−y=6 −2x+5y=−30 Select one: A. (-13, 14) B. (-5, -8) C. no solution D. infinitely many solutions

Answers

Answer 1

Answer:

D. Infinitely many solutions

Step-by-step explanation:

[tex]-\frac{2}{5}x-y=6 | -2x+5y=-30[/tex]

1.Since neither equation contains an isolated. However, we can isolate -y in the first equation by adding [tex]\frac{2}{5}x[/tex] to both sides.

Like this: [tex]\frac{2}{5}x-\frac{2}{5}x-y=6-\frac{2}{5}x[/tex]

ending up with [tex]y=6-\frac{2}{5}x[/tex]

2.Now, we can change y to a positive y. By doing so, we divide -y by the entire equation.

Like this [tex]\frac{-y=6-\frac{2}{5}x }{-y}[/tex]

Ending with [tex]y=-6+\frac{2}{5}x[/tex]

3.Now, we can plug the expression [tex]-6+\frac{2}{5}x[/tex] into the second equation as a substitute for y, and solve for x. Then, we can use x to calculate y.

Like this [tex]-2x+5(-6+\frac{2}{5}x)=-30\\ -2x-30+2x=-30\\[/tex]

4. Since -2x+2x would cancel out and leave -30=-30. This is true because we know -30 equals -30 with no variable in sight.


Related Questions

i need help please thank you

Answers

The answr is A sorry if wrong

Answer:

I got 1642

Step-by-step explanation:

multiplyed length and width

did the same with the garden

then subtracted

Nathan is 3 years older than Olivia. Determine the equation if n represents the age of Nathan and o represents the age of Olivia.
A. n = o + 3
B. o = n + 3
C. n = 3o
D. o = 3n

Answers

Answer: A, n=o+3

Step-by-step explanation:

Nathan (n) is 3 years older than Olivia (o) so Nathan's age would equal Olivia's age plus 3 years.

Hope this helps :)

Answer: A

Step By Step Explanation: Since Nathan Is 3 Years Older we take Olivia age and add 3 to it to get Nathan Age

What is the interquartile range for this data set? 9, 17, 3, 26, 9, 15, 7, 20, 5, 12, 22

Answers

23 because you subtract your highest number with your lowest number
23 because you subtract the highest from the lowest

Rose has $426.00 in her checking account. 1⁄3 of her money will go toward bills. How
much of her money does she have left in her checking account? DO NOT PUT UNITS!!! Only put
numbers for your final answer.

Answers

Answer:

$284

Step-by-step explanation:

First, find 1/3 of 426 by multiplying 1/3*426

With your answer (142), subtract that from the total in your checking account.

426-142=284

This means, After withdrawing the amount she will use to pay bills, Her left over total will be 284 dollars.

(1/3) * 426 = 142 < What goes towards bills.

426 - 142 = 284
What is left in her checking account is $284.

What is the probability of rolling a number that is greater than 4 on a number cube SIMPLIFY YOUR ANSWER plz

Answers

Answer:

Step-by-step explanation:

4

2/6=1/3 chance to roll a number higher than 4

B. In the boys' long jump, Kevin jumped a distance of (6x1) + (9x 1/10) + (8x1/100)+(3x1/1000) meters. Leon jumped a distance of 6.093 meters. Kevin said he jumped farther than Leon. Is Kevin correct? Explain why or why not.

Answers

6*1 = 6

Next...

1/10 = 10% which equals 0.1
0.1 * 9 = 0.9

Now...

1/100 =1% which equals 0.01
So that means that 0.01 * 8 = 0.08

Lastly... 0.0010 * 3 = 0.003

You add
6 + 0.10 + 0.08 + 0.003 and you get 6.183.... (Kevin’s distance) which is obviously a farther distance than 6.093.

Kevin is correct :)

Please help it’s timed

Answers

Answer:

25

Step-by-step explanation:

Answer:

132

Step-by-step explanation:

Area of a circle is pi r^2

36

2 circles

72

Circumstance is 2 pi r

12

12x5=60

72+60=132

Find an ordered pair , x y that is a solution to the equation. 5x-y=9

Answers

Answer:

(1, -4)

Step-by-step explanation:

In order to find a solution to a linear equation, we can substitute any value for one variable, simplify the equation, and find the value of the other variable to find a solution that is an ordered pair.  

Since any value for either variable will do, we can choose something simple, such as 1. I chose to substitute 1 for x into the equation, as seen below.  

[tex]5x-y = 9\\5(1)-y = 9[/tex]

Now, all I need to do is solve and isolate y:

[tex]5(1)-y = 9\\5-y = 9\\-y = 4\\y =-4[/tex]

So, with this linear equation, when x equals 1, y equals -4. Thus, a solution to the equation is (1, -4).

PLEASE ANSWER URGENT

Answers

Answer:

13. B

14. 10.4 = x + 2.6

15. 7.8

16. The amount that was already in the pitcher

Step-by-step explanation:

Ples help me, it's due by the end of class

Answers

Answer: it is a

pleaze put your brainly

Step-by-step explanation:

The original rectangle below has an area of 15 square centimeters. If a scale factor of 2 is used, what is the area of the new rectangle in square centimeters?

A=bh
what's the answer??

Answers

Answer:

60 cen squared.

60 cm sq should be the answer

15 POINTS AND BRAINLIEST IF YOU ANSWER IN 5 MINS
The two triangles below are similar. Which pair are corresponding sides?

Triangle L M N. Side L M is 7, M N is 5, L N is 4. Triangle P Q R. Side P Q is 8.8, Q R is 11, R P is 15.4.The two triangles below are similar. Which pair are corresponding sides?

A) LN and MN
B) MN and RQ
C) LM and QR
D) LM and PQ

Answers

B I think since they are both the middle numbers

The pair of corresponding sides of triangles are,

⇒ MN and RQ

Option B is true.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangle LMN,

Side LM is 7, MN is 5, and LN is 4.

And, Triangle PQR,

Side PQ is 8.8, QR is 11, RP is 15.4.

Here, Two triangles are similar.

Hence, The pair of corresponding sides of triangles are,

⇒ MN and RQ

Option B is true.

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ7

Find the product
-5(-3)(-3)

Answers

Answer:

-45

Step-by-step explanation:

-5(-3)(-3) =

15(-3) =

-45

Hope that helps!

Answer:

-45

Step-by-step explanation:

whats the percentage?

Answers

Answer:

blue:2%

pink:40%

orange:25%

white:33

Step-by-step explanation:

Blue= 2%
White = 33%
Pink=40%
Orange=25%

Help me please im getting timed I only have 10 mins left

Answers

Answer:

4.5

Step-by-step explanation:

like i said, bxh 2.5x1.8=4.5. Do u need help with anything else?

Answer:

Step-by-step explanation:

Area of a parallelogram is the base times its height

A=2.5(1.8)

A=4.5 m^2

help me answer this please and thanks cause I don't see myself getting the answer anytime soon lol

Answers

Answer:

-12x-4

Step-by-step explanation:

2(-7x+(x-2)) =

-14x+2(x-2) =

-14x+2x-4 =

-12x-4

Juan travels 16 miles per hours for 7 hours. Find the distance traveled in miles

Answers

Answer:

112 Miles

Step-by-step explanation:

16 (per hour)  for 7 hours

16x7 (we Multiple the speed [since its per hour] the number of hours.)

112

Given:

Speed of Juan = 16 mph

Time traveled = 7 hours

To find:

Total distance traveled

Steps:

Total distance traveled is equal to speed into time traveled,

Total distance = Speed × time traveled

Total distance = 16 × 7

Total distance = 112 miles

Therefore Juan traveled 112 miles in 7 hours at the speed of 16 mph

Happy to help :)

If you need any help, pls feel free to ask

I WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER
What is -2/3 ÷ -2/9?

A. -3/1
B. -1/3
C. 1/3
D. 3/1

Answers

The answer is D. 3/1

pls help...........................................

Answers

Answer:

answer is D.

Step-by-step explanation:

divide 2550 and 3.2 and get 796.875. multiply that by 3 and you get 2390.625.

Answer:

Option C 2794.8

Step-by-step explanation:

I'm not sure if it is correct but this is what I do

To find the total amount in the account you first need to find how much the interest rate is worth.

To find that you do 2550 times the interest rate which is 3.2 and you get 8160. Then you divide that by 100 which is 81.6

81.6 is the interest rate you get in one year. You multiply this by three and you get 244.8 which is the interest rate for three years.

Know add the interest rate to the amount of money deposited and you get your answer 2794.8

Ramil collected honey from 9 different beehives and recorded the amount collected, in gallons, from each hive in the line plot shown:

(Photo attatchment shown below, PLEASE VIEW OR NONE OF THIS WILL MAKE SENSE)

She wants to write the value of each point marked on the number line above (Points A–D) in terms of the largest possible whole number of gallons, quarts, and pints. Use the line plot above to fill in the blanks with the correct conversions. (The first one is done for you.)

__0__ gal __3_ qt ___0__pt

0 gal ____qt __26__ pt

0 gal ______ qt _______pt

_______ gal ______ qt _______pt
Find the total amount of honey collected from the five hives that produced the most honey.








Jill collected a total of 19 gallons of honey. If she distributes all of the honey equally between 7 jars, how much honey will be in each jar?












Jill used 35 of a jar of honey for baking. How much honey did she use baking?











Jill’s mom used 14 of a gallon of honey to bake 3 loaves of bread. If she used an equal amount of honey in each loaf, how much honey did she use for 1 loaf?




Jill’s mom stored some of the honey in a container that held 34 of a gallon. She used half of this amount to sweeten tea. How much honey, in cups, was used in the tea? Write an equation, and dra a tape diagram.




Jill uses some of her honey to make lotion. If each bottle of lotion requires 14 gallon, and she uses a total of 3 gallons, how many bottles of lotion does she make?

Answers

Ramil collected honey from 9 different beehives and recorded the amount collected, in gallons, from each hive in the line plot shown:

(Photo attatchment shown below, PLEASE VIEW OR NONE OF THIS WILL MAKE SENSE)

She wants to write the value of each point marked on the number line above (Points A–D) in terms of the largest possible whole number of gallons, quarts, and pints. Use the line plot above to fill in the blanks with the correct conversions. (The first one is done for you.)

__0__ gal __3_ qt ___0__pt

0 gal ____qt __26__ pt

0 gal ______ qt _______pt

_______ gal ______ qt _______pt
Find the total amount of honey collected from the five hives that produced the most honey.








Jill collected a total of 19 gallons of honey. If she distributes all of the honey equally between 7 jars, how much honey will be in each jar?












Jill used 35 of a jar of honey for baking. How much honey did she use baking?











Jill’s mom used 14 of a gallon of honey to bake 3 loaves of bread. If she used an equal amount of honey in each loaf, how much honey did she use for 1 loaf?




Jill’s mom stored some of the honey in a container that held 34 of a gallon. She used half of this amount to sweeten tea. How much honey, in cups, was used in the tea? Write an equation, and dra a tape diagram.




Jill uses some of her honey to make lotion. If each bottle of lotion requires 14 gallon, and she uses a total of 3 gallons, how many bottles of lotion does she make?
1,4,3,5,2,3,6,2,7,9,5,7,5,8

WHOEVER ANSWERS FIRST
WILL GET BRAINLIEST!!!
What is the sum of two numbers 9 and their difference is 7

14 POINTS!!!!

Answers

Answer:

8 and 1

Step-by-step explanation:

8 + 1 = 9

8 - 1 = 7

Answer:

Step-by-step explanation:

Let b>a

a+b=9 and b-a=7 upon adding these two equations together

a+b+b-a=9+7

2b=16

b=8, given a+b=9

a+8=9

a=1

So the two numbers are 1 and 8

Solve each of the following equations. Show its solution set on a number line. Check your answers. 5−p+6=−8

Answers

Add 8 to 5 and 6 on the left side of the equation. Put p on the right side. Answer is 19=p

Answer:

p = 19

Step-by-step explanation:

5−p+6=−8

5 + 6 - p = -8

11  - p = --8

11 - 11 - p = -8 - 11

- p = -19

p = 19

You would plot a closed circle on the line that has the value of 19 on the number line.

Hope this helps.

Please help I will mark brainleist

Answers

[tex]-x^2-2[/tex]

Because [tex]-x^2[/tex] is [tex]x^{2}[/tex] flipped over.

Then you need to -2.

Answer:

A

Step-by-step explanation:

I used a graphing calculator  and just put in the options and found which one was g(x).

MATH SMARTIES I WILL GIVE BRAINLIEST (the highlighting was from my teacher btw) PLEASE GIVE EXPLINATION ALSO THANK YOU

Answers

Answer:

1) D.208

2) C.112

Step-by-step explanation:

so basically for 1 you solve the area for all the shapes you see in the net using the equation l*w=a and add them together

l= length

w=width

a=area

4*8=32

4*8=32

6*4=24

6*4=24

6*8=48

6*8=48

48+48+24+24+32+32=208

208[tex]cm^{2}[/tex]

for number 2 since it's lateral surface area, you wanna find the area of all the shape in the net except for the square in the middle.

for the triangles you're gonna wanna use the equation 1/2b*h=a

b= base

h=height

a=area

7*4=28

7*4=28

7*4=28

7*4=28

28*4=112

MATH SMARTIES I WILL GIVE BRAINLIEST!!!!!!! PLEASE HELPPPP

Answers

Answer:

The constant of proportionality is 3.

Step-by-step explanation:

Constant of proportionality is found by doing k = [tex]\frac{y}{x}[/tex]. Point (2,6) is on the line, so if we plug in point (2, 6) into the equation to solve for the constant of proportionality, we get [tex]k=\frac{6}{2}[/tex] or k = 3. The constant of proportionality is 3.

3 is the answer have a great day!

PLZ PLZ PLZ PLZ PLZ Helpppppp

Answers

Answer:

#2 : C

#4 : C

Step-by-step explanation:

Question 2:

Pyramids with the same base & height will always be 1/3 the volume of a prism with the same base & height.

Question 4:

Equation for volume of a pyramid: lwh/3

The length, width, and height of the pyramid all equal 4.5 inches

volume = (4.5*4.5*4.5)/3

volume = 91.125/3

volume = 30.375 or 30 and 3/8

both questions are C

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Write and solve an equation to find the answer. From midnight to 6:00 am, the temperature rose 8°C. At 6:00 am, the temperature was − 20 ° C. What was the temperature at midnight?

Answers

Answer: -28 degrees Celsius

Step-by-step explanation:

Equation: -20 = t + 8 or t = -20 + -8 (t represents the temperature at midnight).

Using the second equation given, add the two numbers together. Since adding a negative is the same as subtracting a positive, subtract 20 from 8 and make it negative. The answer is -28.

Which number can be inserted in the box to make the given equation true?

Enter the number only.

Answers

Answer:

4

Step-by-step explanation:

Please hurry and help me its due soon!

Answers

Answer: 8(10c+25p) and 80c+200p

                   

Find the area of the composite shape if the trapezoid has a height of 7 in. Use pi = 3.14

A.80.76 sq in
B.64.13 sq in
C.66.63 sq in
D.26.25 sq in

Answers

Answer:

(C) 66.63 sq in.

Step-by-step explanation:

The composite shape is a trapezoid + semi circle

The formula for area of a trapezoid is:

1/2(b1+b2)h

Where b1 is base 1

Where b2 is base 2

Where h is height

B1 is 6

B2 is 9

h is 7

1/2 (6 + 9) 7

1/2 (15) 7

7.5 x 7

= 52.5

The Semi circle formula is:

pi x r^2 (all divided by 2)

Where pi is 3.14

Where r is radius

The radius is 1/2 the diameter

6/2 = 3

3.14 x 3^2 /2

3.14 x 9 / 2

28.26 / 2

= 14.13

Trapezoid + Semi Circle

52.5 + 14.13

= 66.63 sq in.

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