Jenna works in an ice cream shop. When she starts her shift the tub of chocolate ice cream is 2/3 full. When she finishes her shift 6 1/2 h later, there is only 1/6 of the tub left. What was the average hourly change in tub fullness?

Answer:

x = 15

Step-by-step explanation:

Here's an easy way to solve this:

OAP appears to be a right isosceles triangle. Angle O is a right angle, so the other angles are congruent (the same).

180-90 = 90

90÷2 = 45

3x = 45

x = 15

Answer:  [I assume:  "4x 3y = 7" is really 4x + 3y = 7]

y = -(4/3)x -14/3

Step-by-step explanation:

Rewrite this as y=mx+b, where m is the slope.  

4x + 3y = 7

3y = -4x +7

y = -(4/3)x +(7/3)

The slope is -(4/3)

A parallel line will have the same slope, but a specific value of b to allow it to go through the given point (-5,2):

y = -(4/3)x + b

Enter the point and solve for b:

2 = -(4/3)(-5) + b

2 = (20/3) + b

b = 2 - (20/3)

b = 6/3 - 20/3

b = -14/3

y = -(4/3)x -14/3

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Answer:

I think the number on top will be 3

Answer:

50%

Step-by-step explanation:

Since the dice was only rolled twice, that would give youa  50/50 chance of getting any number on the dice, as it was only rolled once obviously.

Answer:

Step-by-step explanation:

Answer:

10 square feet

Step-by-step explanation:

Answer:

X=12

A=62

B=48

Step-by-step explanation:

A: 12+50=62

B: 4×12 =48

Answer:

The initial value is 1

Step-by-step explanation:

The initial value is the value when t =0

When t=0 p =1

Answer: 3.33 miles/hr

Step-by-step explanation:

(5 miles)/(1.5 hr) = 3.33 miles/hr

Answer:

distance =6,000km

time =6.8 hrs

speed =distance /time =6,000/6.8=60000/68=882 km/h

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Answer:

Step-by-step explanation:

(2x+32) (3x-5)

(2x+3x) (32-5)

(5x*27)

hope this helps

1) Let L = the larger # and S = the smaller #.

A large # is 5 more than twice a smaller #.....This gives Eq 1) L = 5 + 2S

Their sum is 80...This gives Eq 2) L + S = 80.

Substitute Eq 1) into Eq 2), you get

L + S = 80

5 + 2S + S = 80

3S = 75

S = 75 / 3 = 25

L = 5 + 2S

  = 5 + 2(25)

= 5 + 50

 = 55

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2) [-7,2)

- Vocabulary

· Interval

A set of values between two endpoints.

· Inequality

A mathematical expression which shows that two quantites are not equal.

Answer:

1) x = 25

2) 2(25)+5 = 55

-12<= x < 6

x <2 and x <= -7

Step-by-step explanation:

1) x

2) 2x + 5

x + 2x + 5 = 80

3x = 80 - 5

x = 75/3

x = 25

-24 <= 2x - 10

-24+10 <= 2x

-14/2 <= x

-7 <= x

2x -10< -6

2x < - 6 + 10

x < 4/2

x < 2

[tex]x = - \frac{2}{5} \\ x = \frac{1}{2} \\ \\ \\ hope \: \: it \: \: helps \: \\ \\ see \: \: the \: \: attachment[/tex]

Answer:

3rd option

Step-by-step explanation:

3(x + 8) - 9x = 6(4 - x) ← distribute parenthesis on both sides

3x + 24 - 9x = 24 - 6x , collect like terms on left side )

24 - 6x = 24 - 6x

Since both sides are the same then any value of x will make the equation true.

That is all real numbers are solutions

Answer: C g(x) is a function because f(x) is one-to-one.

Step-by-step explanation:

Answer:

b = c - 3/4y

Step-by-step explanation:

move 3/4y to the other side with c:

c - 3/4y = b

b = c - 3/4y

Answer:

It is Linear Increasing.

Step-by-step explanation:

If it is a straight line, it is a linear function. if it is NOT a straight line, then it is a non-linear function.

Edit: When the line starts from the top of the y-axis, then it is decreasing. If the line starts from the Origin Point (as shown in the picture you included), then it is increasing. I hope this helps you in Linear and Non-linear relationships.

Answer:

x = (23 + √ 497 / 8) ,  (23 − √ 497  /8)

x=5.66168710

Step-by-step explanation:

im too lazy. use math-way

Answer:

n = 27

Step-by-step explanation:

Multiplication has the commutative property, which means it doesn't matter what way around you put the numbers e.g. 4 × 3 = 3 × 4

So 27π = 27 × π = π × 27

n is 27

Answer:

224

Step-by-step explanation:

b = 32, h = 7 is the solution to P = 78. Hence, 7*32 = 224 is the answer

Answer:

Slope = -3

Step-by-step explanation:

From (-1,0) to (0,-3), the line has a change of -3/1 (change in y/change in x) or -3

Answer:

3.785, but rounded to the nearest tenth is 3.8

Step-by-step explanation:

Hope this helps!

Answer 1,76211454 gallons

Step-by-step explanation: if you are in the UK , 1 gallon = 4,54 liters , in America is 3,78

Using Pythagorean theorem

[tex]\\ \sf\longmapsto P^2=H^2-B^2[/tex]

[tex]\\ \sf\longmapsto P^2=6^2-5^2[/tex]

[tex]\\ \sf\longmapsto P^2=36-25[/tex]

[tex]\\ \sf\longmapsto P^2=11[/tex]

[tex]\\ \sf\longmapsto P=3.2[/tex]

_________

[tex] \: [/tex]

a² = c² - b²

a² = 6² - 25²

a² = 36 - 25

a² = 11

a = √11

a ≈ 3.2

Answer:

The answer is in the photo

Step-by-step explanation:

Answer:

Step-by-step explanation:

m = -1 ;  ( 4 , -3)

y - y1 = m(x - x1)

y - (-3) = -1(x - 4)

y+ 3 = -x + 4

Add  x to both side.

x +y + 3 = 0

Subtract 4 from both sides

    x + y  + 3 - 4 = 0

x +y - 1 = 0

Answer:

x • (x^3 - 3x^2y + 3xy^2 + 7y^3)

Step-by-step explanation:

(8x • (y^3)) +  x • (x - y)^3

2^3xy^3 +  x • (x - y)^3

Evaluate :  (x-y)^3   =   x^3-3x^2y+3xy^2-y^3

Pull out like factors :

x^4 - 3x^3y + 3x^2y^2 + 7xy^3  =

x • (x^3 - 3x^2y + 3xy^2 + 7y^3)

x^3 - 3x^2y + 3xy^2 + 7y^3 is not a perfect cube

Answer:

No solution

Step-by-step explanation:

Combine like terms on the right hand side of equation

3x + 2 = 3x -1

This cannot be simplified so there are no solutions.

Answer:

the answer is − 7 + 6

Step-by-step explanation:

multiply -2 times 5 and -2 times -3

you should get 3x-10x+6

combine the terms, you should get -7x+6