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)


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(1)Mai had $14.50. She spent $4.35 at the snack bar and $5.25 at the arcade. What is the exact amount of money Mai has left?

(2)Kristina rides her bicycle 384.25 miles over 29 weeks too and from her job. How many miles does she ride each week to and from her job if she rides the same amount each week?

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Answer:

question 1 she has 4.90 dollars left question 2 she rides 13.25 miles every week

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Answer:

slope= m=-30 hope that helps

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D) initial value of 60 and multiplying by 1/3

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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:

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)

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Answers

Answer:

11

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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high

moderate

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Answer: Low

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Answers

y = kx for fixed constant k
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y = 5x

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Answers

Answer:

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Answers

Answer:

$3.60

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45

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31.7

10

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9

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Step-by-step explanation:

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200=2.5*speed

speed=80

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576 in

35=.2*x

x=175

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48*.065=3.12

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Pretty sure it's just 36

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

From the above question

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Answer:

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Answers

Answer:

Part A

The 10% rule is not met

Part B

The normal condition is not met

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

The given sample size, n = 18, which is 18/60×100 = 30% > 10% of the batch, therefore, the 10% rule is not met in the present situation

Part B

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Answer:

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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?

Answers

Answer:

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?

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

40m3 must be decreased by 40% to become 24m3.

Step-by-step explanation:

To determine in what ratio must 40m3 be decreased to become 24m3, the following calculation must be performed:

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Answers

Answer:

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Step-by-step explanation:

Have a nice day

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

move the terms 10x-9=9x-4

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x=5  

The green parallelogram is a dilation of the black parallelogram. What is the scale factor of the dilation?
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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