What is the volume of the following rectangula
prism?
4
units
3
23
units
4

The miles previously covered by algae is 6 miles

let m represent the miles of the coastline covered by algae before the clean-up  

fraction of miles covered after the clean-up = [tex]\frac{1}{3}[/tex] x m = [tex]\frac{1}{3}m[/tex]

miles covered after the clean-up = 2 miles

[tex]\frac{1}{3}m[/tex] = 2 miles

to determine the value of m, make m the subject of the formula.

To do this, take the following step :

multiply both sides of the equation by 2

m = 2 miles x 3

m = 6 miles

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Answer:

the answer to that is 150

Answer:

Given coordinetes of triangle A(−2,3),B(8,3) and C(6,7)

AB=  

[8−(−2)]  

2

+(3−3)  

2

​

=  

(10)  

2

+(0)  

2

​

=  

100

​

AC=  

[6−(−2)]  

2

+(7−3)  

2

​

=  

(8)  

2

+(4)  

2

​

=  

64+16

​

=  

80

​

BC=  

(6−8)+[7−(2)]

​

2

=  

(−2)  

2

+(4)  

2

​

=  

4+16

​

=  

20

​

If ABC is a right angled triangle, then square of one side must be equal to sum of suare of other two sides.

AB  

2

=(  

100

​

)  

2

=100

and AC  

2

+BC  

2

=(  

80

​

)  

2

+(  

20

​

)  

2

=100

∴AB  

2

=AC  

2

+BC  

2

thus triangle satisfies the Pythagoras theorem

Hence, the triangle is right angled triangle.

Step-by-step explanation:

Step-by-step explanation:

-9(1-10n)-2(3n+9)

-9+90n-6n-18

-9-18+90n-6n

-27+84n

3(-9+28n)

Answer:

x = 2

Step-by-step explanation:

h(x) = -3x + 2

In this question, h(x) has the same meaning as y, so though this is not a standard practice, rewrite the question as

y = -3x + 2

What the question is telling you is that y = - 4

-4 = -3x + 2                  Subtract 2 from both sides

-4-2 = -3x                    Combine

-6 = - 3x                       Divide by - 3

-6/-3 = x

x = 2

2x+4y=12

[tex]\\ \rm\Rrightarrow 3x+y=8[/tex]

[tex]\\ \rm\Rrightarrow 3x+6y=18[/tex]

Subtract both

[tex]\\ \rm\Rrightarrow -5y=-10[/tex]

[tex]\\ \rm\Rrightarrow y=\dfrac{-10}{-5}[/tex]

[tex]\\ \rm\Rrightarrow y=2[/tex]

Put the value in eq(2)

[tex]\\ \rm\Rrightarrow x+2(2)=6[/tex]

[tex]\\ \rm\Rrightarrow x+4=6[/tex]

[tex]\\ \rm\Rrightarrow x=6-4=2[/tex]

Answer:

x=2, y=2

Step-by-step explanation:

-2(3x+y=8)

3(2x+4y=12)

-6x+-2y=-16

6x+12y=36

0+10y=20

       y=2

3x+2=8

3x=6

x=2

If you work for an employer, you and your employer each pay a 6.2 percent Social Security tax on up to $142,800 of your earnings and a 1.45 percent Medicare tax on all earnings.

Answer:

6.25%*459=28.6875

7.65%*459=35.1135

459-28.6875=430.3125

430.3125-35.1135=395.199

Answer:

it depends

Step-by-step explanation:

Answer:

-2t + 1400

Step-by-step explanation:

If t represents the number of hours Lamar worked as a tutor, the number of hours he worked as a waiter can be represented by 100 - t.

Create an equation to represent the situation:

12t + 14(100 - t) = total earned

Simplify:

12t + 1400 - 14t = total earned

-2t + 1400 = total earned

So, the expression for the amount he earned is -2t + 1400

Answer:

Commutative property

Step-by-step explanation:

addition is commutative for example 2+3=3+2

multiplication is also commutative 3*2=2×3

Answer:

D. Real numbers from 0 to 12

Step-by-step explanation:

The domain is the possible x-values and because the depth can not go below 0, the amount of time stops at 12.

Time also can not go below 0 so we are left with real numbers from 0 to 12

Answer:

6(10+4)

Step-by-step explanation:

The real question gives 78

Expand all the brackets in the option

and compare if it gives the answer real expression i.e 78

Answer:

[tex]2(3m + 6n) + 3(5m - 2n) + 5( - 6m + n) \\ [/tex]

open the brackets:

[tex] = (6m + 12n) + (15m - 6n) + ( - 30m + 5n) \\ [/tex]

group the coefficients of m and n in their brackets:

[tex] = (6 + 15 - 30)m + (12 - 6 + 5)n \\ [/tex]

then operate the brackets:

[tex] = - 9m + 11n[/tex]

Answer:

Step-by-step explanation:

9.59277626267 is irrational.

Because it has many ifinite decimals

[tex]\sqrt[5]{2}-1 = 1 +x - 1[/tex]Answer:

14.87% per hour

Step-by-step explanation:

Let's pretend we're starting with one bacteria.

Double of one is two

We're gonna have to use this formula: A = P(1 + x)ⁿ

A = Amount (which is 2)

P = Initial amount (which is 1)

x = percentage per time (hour)

n = amount of time (hours)

So our equation will look like this:

2 = 1(1 + x)⁵

First, we need to root both sides to isolate (1 + x)

[tex]\sqrt[5]{2} = \sqrt[5]{(1+x)}[/tex]

[tex]\sqrt[5]{2} = 1 +x[/tex]

Then subtract both sides by 1

[tex]\sqrt[5]{2}-1 = 1 +x - 1[/tex]

[tex]x=\sqrt[5]{2}-1[/tex]

[tex]\sqrt[5]{2} = 1.148698355[/tex]

1.148698355 - 1 = 0.148698355

x = 0.148698355

Answer:

Im pretty sure it is

Step-by-step explanation:

As you can see there is a pattern, +10, +15, then you see 260, you'd need 5 more numbers before getting to 260, in other words, +30, and not +15 or +10. So yes.

Answer:

Answer: d is -25.5

Step-by-step explanation:

[tex]16d + 23 = 14(d - 2)[/tex]

open brackets:

[tex]16d + 23 = 14d - 28[/tex]

collect d terms together:

[tex]16d - 14d = - 28 - 23 \\ 2d = - 51 \\ d = - 25.5[/tex]

Answer:

Step-by-step explanation:

DA,DG,DC are tangents of the circles so have the same length.

NB: F is the orthocenter of triangle HDF

Answer:

Step-by-step explanation:

2 1/4 per egg

if there is 12 eggs in a dozen then you would just do:

2 1/4 x 12

( 27 i think)

Answer:

Small shirts = 12 shirts

Large shirts = 18 shirts

Step-by-step explanation:

Given information

There are plans for ordering 24 medium shirts.

For every 4 medium shirts, there would always be 2 small shirts and 3 large shirts.

STEP ONE: Find how many groups of [4 medium shirts] are ordered.

24 / 4 = 6

There should be 6 groups of 4-medium-shirts orders.

STEP TWO: Find the number of small shirts.

6 × 2 = 12 shirts

STEP THREE: Find the number of large shirts.

6 × 3 = 18 shirts

Hope this helps!! :)

Please let me know if you have any questions or need further explanations

Answer:

p=-7

Step-by-step explanation:

-11+10(p+10)=4-5(2p+11)

Firstly, expand the bracket

-11+10p+100=4-10p-55

Next, you collect like terms

10p+10p=4-55-100+11

20p=-140

Divide through by the coefficient of p

20p/20=-140/20

p=-7

Answer:

mean=12

Step-by-step explanation:

soln:

given,

17,1,16,16,7,19,3,17

X=17+1+16+16+7+19+3+17

=96

N=8

Now,

[tex] \: mean = \frac{summation \: x}{n} [/tex]

[tex] = \frac{96}{8} [/tex]

=12

therefore, Mean=12

hope you understand it

Answer:

I DONT KNOW SORRY BRO

Step-by-step explanation:

9514 1404 393

Answer:

  $14.025

Step-by-step explanation:

"Time and a half" means the hourly rate is multiplied by 1 1/2.

  1.5 × $9.35/hour = $14.025/hour

Alice's overtime rate is $14.025 per hour.

Answer:

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