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2 years ago

Write and solve an inequality using the information about Noah.

Mathematics

2 answers:

gavmur [86]2 years ago

6 0

He cant wash 21 more

Otrada [13]2 years ago

5 0

Noah’s family can wash 21 or fewer loads of laundry before having to add more money to the card

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What is the solution to the equation 1/2x+3 = 2/3+1?

Alex

Answer:

x = -8/3

Step-by-step explanation:

1/2x+3 = 2/3+1

Combine like terms

1/2x+3 = 2/3 + 3/3

1/2x + 3 = 5/3

Subtract 3 from each side

1/2x + 3-3 = 5/3 - 3

1/2x = 5/3 - 9/3

1/2x = -4/3

Multiply each side by 2

1/2x *2 = -4/3*2

x = -8/3

7 0

3 years ago

Plot two points that are 777 units from Point \blueD{D}Dstart color #11accd, D, end color #11accd and also share the same xxx-co

Karolina [17]

Right format of question:

Plot two points that are 7 units from Point D and also share the same x-coordinate as Point D.

Answer:

$D' = (-4,-6)$ and $D' = (-4,8)$

Step-by-step explanation:

Given

$D(x,y) = (-4,1)$

Required

Determine a point 7 points from D and in the same x coordinate

Represent this point with D'.

From the requirement of the question, D' has two possible values and these values are:

$D' = D(x,y-7)$ ----> 7 units down and

$D' = D(x,y+7)$ ----> 7 units up

Substitute values for x and y in $D' = D(x,y-7)$ and $D' = D(x,y+7)$

So, we have:

$D' = D(x,y-7)$

$D' = (-4,1 - 7)$

$D' = (-4,-6)$

$D' = D(x,y+7)$

$D' = (-4,1+7)$

$D' = (-4,8)$

3 0

3 years ago

Which is a perfect square? 61 62 63 65

Morgarella [4.7K]

Answer:

None

Step-by-step explanation:

None of these, but $\sqrt{64}=8$ so if 64 is an option than that's the correct option

$\sqrt{61} =7.81 \\\sqrt{62}=7.87\\\sqrt{63} =7.93\\\sqrt{65} =8.06$

3 0

3 years ago

What is the product ? (9t-4)(-9t-4)

solmaris [256]

The answer would be -81t^2+16

8 0

3 years ago

Read 2 more answers

A solution initially contains 200 bacteria. 1. Assuming the number y increases at a rate proportional to the number present, wri

GuDViN [60]

Answer:

1. $\frac{dy}{dt}=ky$

2.543.6

Step-by-step explanation:

We are given that

y(0)=200

Let y be the number of bacteria at any time

$\frac{dy}{dt}$ =Number of bacteria per unit time

$\frac{dy}{dt}\proportional y$

$\frac{dy}{dt}=ky$

Where k=Proportionality constant

2. $\frac{dy}{y}=kdt$ ,y'(0)=100

Integrating on both sides then, we get

$lny=kt+C$

We have y(0)=200

Substitute the values then , we get

$ln 200=k(0)+C$

$C=ln 200$

Substitute the value of C then we get

$ln y=kt+ln 200$

$ln y-ln200=kt$

$ln\frac{y}{200}=kt$

$\frac{y}{200}=e^{kt}$

$y=200e^{kt}$

Differentiate w.r.t

$y'=200ke^{kt}$

Substitute the given condition then, we get

$100=200ke^{0}=200 \;because \;e^0=1$

$k=\frac{100}{200}=\frac{1}{2}$

$y=200e^{\frac{t}{2}}$

Substitute t=2

Then, we get $y=200e^{\frac{2}{2}}=200e$

$y=200(2.718)=543.6=543.6$

e=2.718

Hence, the number of bacteria after 2 hours=543.6

4 0

3 years ago