Two equations are given. m + 5n = 20
m = n-4

What is the solution to the set of equations in the form (m, n)?

A (3,7)
B (0,4)
C (5, 1)
D (2,6)

Please help

Answers

Answer 1

Answer:

B. (0, 4)

Step-by-step explanation:

so we need to find the value of m and n, and luckily we have 2 equations that'll help. (I'm going to use the substitution method for this instead of the Elimination method because I am lazy)

first we need to solve for m, but we already have an equation that tells us what m is equal to, m = n - 4.

now we just need to plug in our new m into the other equation and solve for n. (we are using m + 5n = 20 for that)

so now we get

(n - 4) + 5n = 20

so we solve for n

n + 5n = 24

6n = 24

n = 4

now that we know that n is 4, we can plug that into our m equation (m = n - 4)

m = 4 - 4

m = 0

now we have our m and n, and we can make our ordered pair.

(m, n)

(0, 4)


Related Questions

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Find the measure of an angle between 0 degrees and 360 degrees coterminal with an angle of -244 degrees in a standard position.

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Answer:

to find the equivalent positive angle of a negative angle, just add 360 to it until it becomes positive and is between 0 and 360 degrees. -244 + 360 = 116.

Step-by-step explanation:

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Answer:

The answer is 48

Step-by-step explanation:

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Solve 1/2+(3/4x4/9)=

Answers

Answer: -1/6

Step-by-step explanation:

The height (in feet) of objects launched from a

pirate ship's rocket launcher can be modeled by

the equation h = -16t? + 180t + 18 where t is the

time in seconds.

*Find the maximum height a launched item

could reach. (Round to two decimal places).

*After how many seconds will an item hit the

water after being launched? (Round to nearest

whole number).

Please someone help me

Answers

Answer:

i) 524.25feet

ii) 11secs

Step-by-step explanation:

1) Given the height of the rocket modelled by the equation

h = -16t² + 180t + 18 where

t is in seconds

At the maximum height, the velocity of the object is zero.

v(t) = dh/dt = 0

dt/dt = -32t + 180

0 = -32t + 180

32t = 180

t = 180/32

t = 5.625secs

Get the maximum height

h = -16t² + 180t + 18

h = -16(5.625)² + 180(5.625) + 18

h = -16(31.640625)+ 180(5.625) + 18

h = -506.25+1,012.5+18

h = 524.25feet

Hence the maximum height a launched item  could reach is 524.25feet

ii) The item will hit the water at h = 0

Substitute inti the expression

h = -16t² + 180t + 18

0 = -16t² + 180t + 18

16t² - 180t - 18 = 0

Divide through by 2

8t² - 90t - 9 = 0

t = 90±√90²-4(8)(-9)/2(8)

t = 90±√8100+288/16

t = 90±√8,388/16

t = 90±91.586/16

t = 90+91.586/16

t = 181.586/16

t = 11.35sec

Hence the item hit the water after 11secs (to nearest whole number)

PLEASE HELP WILL MARK BRAINLY

(ATTACHED)

Answers

Answer:

$3.60

282.6

80

576 in

175

45

3.12

31.7

10

36

9

36

-3,√3,3,3² and √3

1/4

√64

9

1.6

4x

1

3

Step-by-step explanation:

24*.15=3.6

200=2.5*speed

speed=80

1:1/12

x:48

576 in

35=.2*x

x=175

30*1.5=45

48*.065=3.12

.5*(2π*5)=15.7

15.7+6+10=31.7

24²+a²=26²

a²=100

a=10

Pretty sure it's just 36

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10*3²*π=282.6

8:12

6:x

x=9

2x+3x=90

x=18

2*18=36

-3,√3,3,3²

1/2*1/2=1/4

√64=8

3x-12+x=24 ,

4x=36

x=9

12.5w=20

w=1.6

2xy*6x²=12x³y

12x³y/(3x²y)=4x

3²+(-2)³

9-8=1

-18-6= -24

-2-2-4= -8

-24/-8=3

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A) 1/3
B) 1/2
C) 2
D) 3

Answers

Answer:  B)  1/2

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

Explanation:

"The green parallelogram is a dilation of the black parallelogram"

This tells us that the preimage is the black parallelogram and the image is the green one.

In short, the mapping is [tex]\text{black} \to \text{green}[/tex]

The image is smaller than the preimage (green is smaller than black), indicating the scale factor is some value of k such that 0 < k < 1. We can rule out choices C and D because of this.

--------------------

Measuring along the top, we can see that the black parallelogram goes from x = -6 to x = 8. Check out the image shown below where I've marked your given diagram, adding on helpful lines to show this going on.

The number-line distance from x = -6 to x = 8 is 14 units, so the top side of the black parallelogram is 14 units long.

The corresponding top side of the green parallelogram is 7 units long (because it spans from x = -3 and x = 4; as shown in blue in the figure below).

Divide the image length over its corresponding preimage length to get the scale factor.

scale factor = (image length)/(preimage length)

scale factor = 7/14

scale factor = 1/2

which points to choice B as our final answer.

Answer:

THE ANSWER IS C)2

Step-by-step explanation:

I GOT IT WRONG CUZ THIS DUDE ABOVE MEEE

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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2.86 hours

Step-by-step explanation:

Ricky and Lucy are 40 miles apart on bicycles heading towards each other on the same road. Ricky bicycles at 8 mph and Lucy rides at 6 mph. In how many hours will they meet?

Speed = Distance/time

Distance = Speed × time

t = ?

Hence,

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8t + 6 t = 40 miles

14t = 40 miles

t = 40/14

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Answers

Answer:

1.99m²

Step-by-step explanation:

From the above question

1 ft = 3.281 m

1 ft² = (3.281 m)²

Converting 21.4 ft² to m²

1 ft² = (3.281 m)²

21.4 ft² = xm²

x m² = 21.4 ft²/ (3.281 m)²

x m² = 1.9879310292 m²

Approximately :

21.4 ft² = 1.99m²

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Tiara, a quality assurance inspector at a chocolate factory, checks for product quality using a random sample of 18 pieces of chocolate from a batch of 60, wity 17 white chocolate and 43 dark chocolates. Let p be the proportion of white chocolates in the sample. Part A: Is the 10% condition met in thjs case? Justify your answer. Part B: Is the Normal condition met in this case? Justify your answer.​

Answers

Answer:

Part A

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Part B

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Step-by-step explanation:

The given data of the pieces of chocolate are;

The number of chocolates in the sample, n = 18

The number of white chocolate in the batch = 17

The number of dark chocolates in the batch = 43

Given that [tex]\hat p[/tex] is the proportion of white chocolates in the sample, we have;

The proportion of white chocolates in the batch, p = 17/60 = 0.28[tex]\overline 3[/tex]

Part A

The 10% condition states that the size of the sample should be less than or equal to 10% of the population because taking samples without replacing them does not result in independent Bernoulli trials

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Part B

The normal approximation can be assumed when we have;

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n·p·(1 - p) = 18 × 17/60 × (1 - 17/60) = 3.655 < 10

Therefore the normal condition is not met.

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