Please show work. Thanks​

Answer:

a.  rate to empty the tank = - 2/3 gal/min

b,  7.5 min to empty the tank

c.  4.5 min.

Step-by-step explanation:

I use the formula that the work done = rate of work times the time working = W = rt

The work in this problem is emptying the tank.  

a.  The rate to empty the tank is -2 gal/3 min or - 2/3 gal/min

b.   5/(2/3) = 15/2 = 7.5 min to empty the tank

c.    Since 3 gal. had already drained, 3/(2/3) = 9/2 = 4.5 min.

Step-by-step explanation:

when x >0

y=/0+7 +5

y=8

(0,8)

when x>7

y= /7+7 +5

y= 9

(7,9)

when x >-7

y = /7-7 +5

y=5

(-7, 5)

Answer: c

Step-by-step explanation: the next one is b

Answer: 15°

Step-by-step explanation:

Answer:

322

Step-by-step explanation:

area of a rhombus is the diaganol* diaganol ÷ 2 = 23x28/2 =322 in ^2

Answer:

Lollipops cost $0.25

Step-by-step explanation:

4C + 8L = $8.00

3C + 10L = $7.00.                  We need to cancel out chocolate bars

-12C - 24L = $-24.00        Mulitply by -3

12 C + 40L = $28.00           Muliply by 4          Next simplify

16L = $4.00                   Divide both sides by 16

L = $0.25

WE CAN EVEN CHECK OUR WORK

4C + 8(0.25) = $8.00

4C = $6.00

C = 1.5

3(1.5) + 10(.25) = $7.00

4.5 + 2.5 = 7

Answer:

14

Step-by-step explanation:

8 - |-6| = 14

|| means absolute value, or the distance the number has from 0 on the number line. ex. |-92| = 92    |8| = 8

Answer:

No because you can split a tree

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Substitute -6 for every x in the equation:

f(-6) = -(-6) + 2

Solve the right side of the equation:

6 + 2

=8

Answer:

answer is 10000

Step-by-step explanation:

THANK U AGAIN <33ewiudhuids

Answer:

14

Step-by-step explanation:

The value of the account will reach to $1,830 in 15 years.

Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.

Given that, Mackenzie invested $770 in an account paying an interest rate of 6.1% compounded continuously after a certain period of time the mount becomes $1830

We know that,

[tex]A = P(1+r)^n[/tex]

Where, A = amount, P = principal, r = rate and n = time.

1830 = 770(1+0.061)ⁿ

1830 / 770 = (1.061)ⁿ

2.37 =  (1.061)ⁿ

Taking log both side,

log(2.37) = n log(1.061)

n = log(2.37) / log(1.061)

n = 14.57 ≈ 15

Hence, the value of the account will reach to $1,830 in 15 years.

For more references on Compound interest, click;

https://brainly.com/question/14295570

#SPJ2

Answer:

15/3=45/x

We move all terms to the left:

15/3-(45/x)=0

Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R

We add all the numbers together, and all the variables

-(+45/x)+15/3=0

We add all the numbers together, and all the variables

-(+45/x)+5=0

We get rid of parentheses

-45/x+5=0

We multiply all the terms by the denominator

5*x-45=0

We add all the numbers together, and all the variables

5x-45=0

We move all terms containing x to the left, all other terms to the right

5x=45

x=45/5

x=9

Step-by-step explanation:

We have to find the perimeter of the park and then add 50m to that

Perimeter = 2(l+b)

                 = 2(275+200)

                 = 2* 475

                 = 950m

Therefore: Total distance covered = 950+50 = 1000 m(1km)

Answer:

1. x=5/4

2. x=-4

3. x= 9/10

Step-by-step explanation:

Let's solve your equation step-by-step.

−x+3=3x−2

Step 1: Subtract 3x from both sides.

−x+3−3x=3x−2−3x

−4x+3=−2

Step 2: Subtract 3 from both sides.

−4x+3−3=−2−3

−4x=−5

Step 3: Divide both sides by -4.

−4x/−4 = −5/ −4

x= 5/4

Answer:

x= 5/4 (5 over 4)

Let's solve your equation step-by-step.

1.5x−3=2.25x

Step 1: Subtract 2.25x from both sides.

1.5x−3−2.25x=2.25x−2.25x

−0.75x−3=0

Step 2: Add 3 to both sides.

−0.75x−3+3=0+3

−0.75x=3

Step 3: Divide both sides by -0.75.

−0.75x/−0.75=3/−0.75

x=−4

Answer:

x=−4

Let's solve your equation step-by-step.

−1/3x+2=3x−1

Step 1: Subtract 3x from both sides.

−1/3x+2−3x=3x−1−3x

−10/3x+2=−1

Step 2: Subtract 2 from both sides.

−10/3x+2−2=−1−2

−10/3x=−3

Step 3: Multiply both sides by 3/(-10).

(3/−10)*(−10/3x)=(3/−10)*(−3)

x=9/10

Answer:

x=9/10 (9 over 10)

Answer:

the domin{1,2,3}

the range{6,7}

and its a function

Step-by-step explanation:

Answer:

I believe your answer is b

Answer:  8 feet!

Step-by-step explanation:

To find the width, we have to find out what number multiplied by 9 gives us 72.

The width of the mural is 8 feet!

Answer:

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer: (6, 5)

Step-by-step explanation: (2+4,-3-2) = (6, -5)

After reflection on x - axis, the y value changes the sign from negative to positive (to the opposite) : (6,5)

Answer:

A

Step-by-step explanation:

the nice thing about triangle is that the smallest angle is always opposite the smallest side, etc. also, we can get the remaining angle because we have 2 angles already and there are always 180 degrees in a triangle.

50+ 63= 113

180-113 =67

so, 50 is the smallest angle and thus the side opposite of it is the smallest. next is side bc because 63 is the next biggest angle measure. lastly, side ac is the largest because it's opposite of the largest angle measure

Answer:

a

Step-by-step explanation:

Answer:

5m^2 + 16k + 13m^2

(5m^2+13m^2) + 16k

18m^2 + 16k

Let me know if this helps!

Answer:

A ; g(x) = (1/2 x)^2

Step-by-step explanation:

Here, we want to get g(x)

we have a point on the curve g(x)

The point is represented by (2,1)

What this mean here is that, when x = 2, y = 1

Looking at the first option;

Substitute 1 for y and 2 for x

1 = (1/2 * 2)^2

1 = 1

This means this is our answer

The equation for g(x) is;

g(x) = (1/2 x)^2

Answer and Step-by-step explanation:

44, 6, and 24 do not have perfect squares.

To be a perfect square, they have to be able to have a number that, when it multiplies itself by itself (needs to be a whole number), it turns into the bigger number.

44, 6, and 24 can't do this when being square rooted.

16 turns into 4.

81 turns into 9.

49 turns into 7.

#teamtrees #PAW (Plant And Water)

Answer:

44, 6, and 24

Step-by-step explanation:

4²=16 so it's a perfect square

9²=81 so it's a prefect square

7²=49 so it's a perfect square

44, 6, and 24 all result in decimals so it's not a perfect square.

Answer:

T is 1, S is 2, J is 3, D is 4 ... hope that helps : )

Answer:

The area is 6 1/3

Step-by-step explanation:

The equation for finding the area of a rectangle is l x w.

w = 3 1/3

l = 4 3/4

3 1/3 x 4 3/4 = 6 1/3

So the area of the rectangle is 6 1/3

Answer:

6

Answer:

6+18

Step-by-step explanation:

HELP ME SOMEONE PLS ANSWER MY QUESTION FROM MY PROFILE.

Answer:

the answer is b

Step-by-step explanation:

because the point is located at the number given the answer is b

Answer:

M=-9/8

Step-by-step explanation:

-3/8-3/4=-3/8-6/8=-9/8

Answer:

m = -9/8

Step-by-step explanation:

First, let's get m by itself by subtracting 3/4 from both sides:

m = -3/8 - 3/4

The least common denonimator between our two fractions is 8, so we can turn 3/4 into the equivalent fraction 6/8 to subtract our two fractions:

m = -3/8 - 6/8 = -9/8

Answer:

c. 4x

Step-by-step explanation: