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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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.
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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What is the variable for For the equation 2n - 3 = 7
Answer: n= 5
Step-by-step explanation:
PLEASE HELPPPPPPPPP PLEASE I BEG ILL GIVE 20 POINTSSSS
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.
Having trouble solving this:
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
What is the slope of the line that passes through the points (-2,-1) and (2,-3) answer in simplest form
Answer:
Step-by-step explanation:
(-3 + 1)/(2 + 2)= -2/4= -1/2 is the slope
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?
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
Suppose f(x) = x^3 + 1. Find the graph of
f(2x).
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
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
PLEASE HELP ME WITH THIS I WILL MARK BRAINLIEST
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
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%
Step-by-step explanation:
A No because it's 4%
B Yes
C No
D Yes
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
Answer:
C-5m
Step-by-step explanation:
Answer:
answer is ( b )
Find the area of the inner and the outer circles, shown in the figure below. Use 3.14 for pi.
Write an exponential function for a graph that passes through the points (2,16) and (3,32).
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]
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?
Answer:
la pregunta está en blanco, ¿podría repetirla?
Step-by-step explanation:
Solve for θ. Please help me!!
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]
Which have the following has a slope of 3 and y - intercept of 4
Answer:
The first table, and the graph.
Step-by-step explanation:
What are all t possible names for these?? Help plz
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 :)
please help! not sure how to do this
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
Answer:
Solution
=(1+0.25)×4
=1.25×4
=5
since 3^0=1
Need help ASAP please!!
Don’t know how to give brainliest sorry-
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
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.
What is the measure of Zx?
Angles are not necessarily drawn to scale.
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
Where does the graph of y = -3x - 18 intersect the x-axis?
Answer:
(-6,0)
Step-by-step explanation:
Find the arc length of the semicircle with a radius of 5
Find the length of the hypotenuse of the triangle. 4.5 m 6 m The length of the hypotenuse is meters.
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.
cuánto mide el ángulo ABF
Answer:
no tengo suficiente information para responder
Step-by-step explanation:
In El Salvador the temperature is 87 degrees Fahrenheit at 7AM. By noon the temperature has risen 6 degrees. What is the temperature?
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
Solve this system of linear equations. Separate
the x- and y-values with a comma.
9x = 1 - 4y
-7x = -7 + 4y
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
i'm really confused on this, anything will help
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:)
8 + 3n ≥ 38
can yall solve plzzz