HURRY PLEASE!!!!!!!!!!!

Determined to finish her milkshake before Diego, Lin now drinks her 12 ounce milkshake at a rate 1/3 of an ounce per second. Diego starts with his usual 20 ounce milkshake and drinks at the same rate as before, 2/3 an ounce per second.



What does the graph tell you about the situation? Specifically answer the following:



a.) How many solutions are there? (25 pts)


b.) Interpret the solution(s). (25 pts)


c.) Who finishes the milkshake first? (25 pts)

Answers

Answer 1

The solution is

a) The number of solutions to the equation is 1

b) Diego finishes the milkshake in 30 seconds and Lin finishes the milkshake in 36 seconds

c) Diego finishes the milkshake first

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the time to finish the milkshake by Lin and Diego be represented as A and B respectively

Now , the equation will be

The amount of milkshake with Lin = 12 ounce

The rate at which Lin finishes her milkshake = 1/3 milkshake per second

The time for Lin to finishes her milkshake A = amount of milkshake with Lin / rate at which Lin finishes her milkshake

Substituting the values in the equation , we get

The time for Lin to finishes her milkshake A = 12/ ( 1/3 )

The time for Lin to finishes her milkshake A = 36 seconds

Now ,

The amount of milkshake with Diego = 20 ounces

The rate at which Diego finishes his milkshake = 2/3

The time for Diego finishes his milkshake B = 20 / ( 2/3 )

The time for Diego finishes his milkshake B = 30 seconds

Hence , Diego finishes his milkshake faster

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Related Questions

What is the slope of the line that passes through the points (-2,-1) and (2,-3) answer in simplest form

Answers

Answer:

Step-by-step explanation:

(-3 + 1)/(2 + 2)= -2/4= -1/2 is the slope

A large block of ice is melting and losing 5 grams of mass every minute. After 11 minutes, the ice has lost 70 grams. Assume the relationship is linear.

Answers

The linear equation of line is given by y = 6.5x - 1.5 where the slope of the equation m = 6.5 , y = amount of ice lost and x = time elapsed

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the amount of ice lost = y

Let the time elapsed be = x

A large block of ice is melting and losing 5 grams of mass every minute

So , the first point be A = A ( 1 , 5 )

After 11 minutes, the ice has lost 70 grams

So , the second point is B = B ( 11 , 70 )

Now , the slope of the line is given by the formula ,

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 70 - 5 ) / ( 11 - 1 )

Slope m = 65/10

Slope m = 6.5

Now , the equation of line is given by ,

y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 5 = 6.5 ( x - 1 )

y - 5 = 6.5x - 6.5

Adding 5 on both sides of the equation , we get

y = 6.5x - 1.5

Therefore , the value of A is y = 6.5x - 1.5

Substitute the value of x = 11 minutes , we get

y = 6.5 ( 11 ) - 1.5

y = 71.5 - 1.5

y = 70 grams

Hence , The linear equation of line is given by y = 6.5x - 1.5 where the slope m = 6.5

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Alana completed a problem where she had to find the sum of the polynomials (3x^2+8x-4) and (-8x^3-3x+4) Her answer is 0. Describe and correct her mistake. When graphed, how many times does the sum change directions?

Answers

Answer:

la pregunta está en blanco, ¿podría repetirla?

Step-by-step explanation:

Suppose f(x) = x^3 + 1. Find the graph of
f(2x).

Answers

Step-by-step explanation:

I am sorry. I just typed the equation into my calculator app. Refer to the attached image above to make a deduction.

Answer:

Mga madlang pipol. The answer is graph 2

What are all t possible names for these?? Help plz

Answers

Answer:

13.....square

14....parallelogram

15....rhombus

16....trapezium

17...kite

18....rectangle

Answer:

#13 is a square, #14 is a rectangle, #15 is a rhombus, #16 is a trapezoid, #17 is a qaudrilateral, and #18 is a rectangle also.

Hope this helps :)

Which have the following has a slope of 3 and y - intercept of 4

Answers

Answer:

The first table, and the graph.

Step-by-step explanation:

Find the arc length of the semicircle with a radius of 5

Answers

7.85 is the approximate answer. (If pi is 3.14)

Steps are on paper.

Write an exponential function for a graph that passes through the points (2,16) and (3,32).

Answers

Answer:

[tex]y = 4(2^{x} )[/tex]

Step-by-step explanation:

The general form for an exponential function is [tex]y = kb^{x}[/tex]

When x = 2,  y = 16    So, [tex]16 = kb^{2}[/tex]    

and when x = 3,  y = 32    So, [tex]32 = kb^{3}[/tex]

Divide  [tex]\frac{32}{16} = \frac{kb^{3} }{kb^{2} }[/tex]

2 = b

Now, [tex]16 = k2^{2}[/tex]

16 = 4k

k = 4

Therefore, the exponential function is [tex]y = 4(2^{x} )[/tex]

Solve for θ. Please help me!!

Answers

We're given the hypotenuse and the opposite side so that means that we're gonna be using the inverse of sine to find the angle.

[tex] {sin}^{ - 1} = \frac{opp}{hyp} = \frac{6}{12} [/tex]

[tex] = 30 \: degrees[/tex]

please help! not sure how to do this

Answers

Answer:

y=−3x+4

Step-by-step explanation:

Step 1: Flip the equation.

−6x+8=2y

Step 2: Add -8 to both sides.

−6x+8+−8=2y+−8

−6x=2y−8

Step 3: Divide both sides by -6.

−6x −/6 = 2y−8 /−6

find the value of (3^0+4^-1)×2^2 ​

Answers

(3⁰+4-¹) × 2²

= (1 + ¹/₄ ) × 4

= ⁵/₄ × 4

= 20

Answer:

Solution

=(1+0.25)×4

=1.25×4

=5

since 3^0=1

In El Salvador the temperature is 87 degrees Fahrenheit at 7AM. By noon the temperature has risen 6 degrees. What is the temperature?

Answers

Answer:

93 Because remember when they said that the Temperature degrees was any 7 right so what they mids I think was to add 6 more to that number If I'm wrong just tell me a probly a 100% got this wrong but alias I try

In 2010, there were 311 middle schools in Virginia. In 2016, there were 306. By what percent did the number of middle schools in Virginia decrease from 2010 to 2016?

Answers

Answer:1.6%

Step-by-step explanation: no of students in 2010=311

no of students in 2016=306

difference=311-306

                 =5

%decrease=5/311 x 100

Answer:

2

306 over 311 and x over 100 do the butterfly method then you have 30600 and 311x after that you divide 311 by 311 and 30600 by 311 and you have 1.6 but it says round to the nearest whole which is 2

Find the length of the hypotenuse of the triangle. 4.5 m 6 m The length of the hypotenuse is meters.​

Answers

Answer:

c = 7.5 meters.​

Step-by-step explanation:

hello :

use phtagore - rule :

c² = 6²+4.5²

c² = 36 + 20.25

c² =56.25

c  = √56.25

c = 7.5 meters.​

Jimmy's school is selling tickets to the annual dance
competition. On the first day of ticket sales
the school sold 6 adult tickets and 4 child tickets for a
total of $88. The school took in $186 on
the second day by selling 12 adult tickets and 9 child
tickets. Find the price of an adult ticket and
the price of a child ticket.

Answers

a= adult ticket c=child ticket
1. 6a+4c=88
12a+9c=186
2. so you need to multiply the top number by -2 so you can cancel out the 12a
-2(6a+4c=88)=. -12a-8c=-176
3. then you add them all together
12a+9c=186
-12a-8c=-176
——————————-
c=10
4. now you have to find ‘a’
6a+4(10)=88
6a+40=88
-40. -40
6a=48
divide both sides by 6
a=8
And your final answer should be (8,10)
hoped this helped:)



Solve this system of linear equations. Separate
the x- and y-values with a comma.
9x = 1 - 4y
-7x = -7 + 4y

Answers

Answer:

y = 7 and x =3

Step-by-step explanation:

use elimination method

so we gonna eliminate y first

9x = 1 - 4y

-7x = -7 + 4y

7| 9x = 1 - 4y

9| -7x = -7 + 4y

63x = 7 - 28y

-63x = -63 + 36y

add eqtn 1 to eqtn2

you will get

0 = -56 + 8y

56 = -56 + 56 + 8y

56 = 8y

56÷8 = 8y÷ 8

7 = y

also eliminate x as we have done wth y

4| 9x = 1 - 4y

4| -7x = -7 + 4y

36x = 4 - 16y

-28x = -28 + 16y

add the two equations

u will get

8x = -24 + 0

8x = -24

8x÷8 = 24÷ 8

x = 3

Find the area of the inner and the outer circles, shown in the figure below. Use 3.14 for pi.


Answers

The radius of the outer circle is 17 so you put that in the formula to find the area of a circle and solve to get 153.86 squared meters as the final answer. The radius of the inner circle is 7 because it shows that the upper part of the circle is 10 and the whole thing is 17, so you do 17-10 to get 7 as the radius. Then put it in the formula and get the final answer as 907.46 squared meters.

Where does the graph of y = -3x - 18 intersect the x-axis?

Answers

Answer:

(-6,0)

Step-by-step explanation:

i'm really confused on this, anything will help

Answers

Answer:

I think its 1200 not sure though

Answer:

1,200

Step-by-step explanation:

first you would divide 480 copies by 4 minutes to see how many copies per minute (120) Then you would take 120 copies per minute and multiply it by the 10 and you would get 1200 copies per 10 minutes! lmk if that helps:)

What is the variable for For the equation 2n - 3 = 7

Answers

Answer: n= 5

Step-by-step explanation:


What is the measure of Zx?
Angles are not necessarily drawn to scale.

Answers

Answer:

the answer is 78*

Step-by-step explanation:

31 and 47 is 78...

i hope this helps

if do then thank me

i want to know if i am right

good luck

cuánto mide el ángulo ABF​

Answers

Answer:

no tengo suficiente information para responder

Step-by-step explanation:

8 + 3n ≥ 38
can yall solve plzzz

Answers

This has multiple solutions but it could b 10 and under

Chose whether the fraction and percent are equivalent

Yes. No.
A.
40/1,000 and 40%
B.
6/5 and 120%
C.
50/33 and 117%
D.
1/8 and 12.5%

Answers

Step-by-step explanation:

A No because it's 4%

B Yes

C No

D Yes

Having trouble solving this:

Answers

Answer:

It's the third option.

Step-by-step explanation:

Because if [tex]\frac{7}{10}[/tex] was converted into a decimal it would be 0.7 plus 666, it would be 666.7

Answer:

it's the 3rd one

Need help ASAP please!!
Don’t know how to give brainliest sorry-

Answers

Answer:

32°

Step-by-step explanation:

All triangles must have a sum of 180°. Given the angle 58° and since this is a right triangle, we have 2 out of the 3 angles to work with.

90 + 58 + x = 180

x = 32

PLEASE HELPPPPPPPPP PLEASE I BEG ILL GIVE 20 POINTSSSS

Answers

Answer:

6 spaces

Step-by-step explanation:

The vertical axis is on the left, and point B is moving to the right of that. Based on the number point B is aligned with on the horizontal axis, point B is 6 spaces away from the vertical axis.

HELP!!!
A triangle has sides of 6m and 9m . Which is
a possible length, in meters, of the third side?
A-2m
B-3m
C-5m
D-17m

Answers

Answer:

C-5m

Step-by-step explanation:

Answer:

answer is ( b )


2. Carrie listened to the latest country album 3 times in a row in 2.75 hours. Write an equation to find the length of the album.

a. 3t=2.75
b. 2.75(3)=t
c. 2.75t=3
d. 2.75(3)(t)

HELP ME PLEASE

Answers

The answer is A.
3 is the number of times she listens and “t” is the length of the album.

PLEASE HELP ME WITH THIS I WILL MARK BRAINLIEST

Answers

Answer:

a=60

Step-by-step explanation:

all you do is add 90+135+75 which is 300

then subtract 300 from 360, which is 60

360-(90+135+75)=60

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