Answer:Let x be the number of full cup sold Let y be the number of half cup sold Whether the cup was full or not, they used 37 cups. Therefore, x + y = 37 How much money did they make selling half cup lemonade? They made y × 0.25 How much money did they make selling full cup lemonade? They made x × 0.50 Money made selling full cup + money made selling half cup = 15 x × 0.50 + y × 0.25 = 17 You end up with a system of linear equation to solved x + y = 37 x × 0.50 + y × 0.25 = 17 x + y = 37 equation 1 0.50x + 0.25y = 17 equation 2 Solve for y in equation 1 x + y = 37 x - x + y = 37 - x y = 37 - x Replace y in equation 2 0.50x + 0.25 (37 - x) = 17 0.50x + 0.25 × 37 - 0.25x = 17 0.50x + 9.25 - 0.25x = 17 0.25x + 9.25 = 17 0.25x + 9.25 - 9.25 = 17 - 9.25 0.25x = 17 - 9.25 0.25x = 7.75 Divide both sides by 0.25 0.25x/0.25 = 7.75/0.25 x = 31 y = 37 - x = 37 - 31 = 6 Sasha and Francisco sold 31 full cup and 6 half cup of lemonade It seems like people love their lemonade
Step-by-step explanation:
hoped this helpedddd
A rectangle is 2 feet wide and 4 feet long. A second rectangle is created by increasing the length and width of the first by a scale factor of
2.5. What is the area, in square feet, of the second rectangle?
Answer:
B
Step-by-step explanation:
Nina uploaded a funny video on her website, which rapidly gains views over time.
The relationship between the elapsed time, ttt, in days, since Nina uploaded the video, and the total number of views, V(t)V(t)V, left parenthesis, t, right parenthesis, is modeled by the following function:
V(t)=500⋅(1.8)t
Complete the following sentence about the daily percent change in the views of the video.
Answer: 80% views are added
Step-by-step explanation:
The required daily percent change in the views of the video is 50%.
Nina uploaded a funny video on her website, the relationship between the elapsed time t, and number of views. V(t) is V(t)=500⋅(1.8)t.
What is rate of change?
Rate of change is defined as the change in value with rest to the time is called rate of change.
Here,
V(t)=500⋅(1.8)t
The slope of the given relationship will describe the the daily percent change in the views of the video i.e.
m = 500*1.8
m = 900
since the rate of increase in views in each day is by 900.
Now the percentage change per day.
= 900/1800 x 100
= 50 %
Thus, the required daily percent change in the views of the video is 50%.
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fill the empty slots by dragging tiles from the left to show the next step for solving the equation. Use the equation machine to solve this equation. x =
The solution to the equation 2 = -(7/4) + (1/4)x is x = 15
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
Given the equation:
2 = -(7/4) + (1/4)x
Add 7/4 to both sides of the equation:
2 + 7/4 = -(7/4) + (1/4)x + 7/4
(1/4)x = 15/4
Multiply both sides by 4:
x = 15
The solution to the equation 2 = -(7/4) + (1/4)x is x = 15
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An expression is given
4x + 5y + 7x
Identify the coefficient(s) and constant.
Coefficient: 4,5 and Constant: 7
Coefficient: 4,5,7 and Constant: None
Coefficient: None and Constant: 4,5,7
Coefficient: 4,7 and Constant: 5
Step-by-step explanation:
The coefficients are 4, 5 and 7
There is no constant
The second one is right
Answer:
Coefficient: 4,5,7 and Constant: None
Step-by-step explanation:
A coefficient can be defined as the number next to the variable or unknown numbers
This would be 4, 5, and 7
However, there does not seem to be a constant, which is a value that should not be the coefficient of a variable.
Select the Equivalent Expression. 3 negative 5 =? I cant find the negative sign on here lol.
Answer:
Step-by-step explanation:
do you mean 3-5=-2 ?
Answer:
3+,-5 =-2
Step-by-step explanation: you mean this if you do your welcome
if f(x) = 5x-20 find f(y+2)
Answer:
f(y + 2) = 5y - 10
Step-by-step explanation:
To evaluate f(y + 2), substitute x = y + 2 into f(x), that is
f(y + 2) = 5(y + 2) - 20
= 5y + 10 - 20
= 5y - 10
Distance=7cm/1yrx1000yr=
9514 1404 393
Answer:
70 m
Step-by-step explanation:
Perhaps you want to evaluate the expression:
[tex]\dfrac{7\text{ cm}}{1\text{ yr}}\cdot 1000\text{ yr}=7000\text{ cm}=70\text{ m}[/tex]
__
There are 100 cm in 1 m. The units of yr cancel.
Plz answer
3x+5x=32.
Step-by-step explanation:
start by adding like terms which would gice us
3x+5x=8x so,
8x=32 divide by 8 on both sides so we leave x by itself giving us x=4
PLEASE HELP 50 POINTS Which terms can be combined in the expression below? Select three options.
StartFraction 5 over 6 EndFraction a minus 2 b minus 16.3 + StartFraction b over 12 EndFraction + c minus 0.9 b
StartFraction 5 over 6 EndFraction a
–2b
–16.3
StartFraction b over 12 EndFraction
–0.9b
Answer:
it -16.3
Step-by-step explanation:
Answer:
Answer:
Option 2nd , 4th and 6th correct2,4 and 6
Step-by-step explanation:
Like terms are those terms which have same variable to the same power.
Combine like terms
Simplify:
Therefore, the term can be combined in the given expression is,
2, 4 and 6Barinliest?Find the length of the third side. If necessary, write in simplest radical form. 1 2
Answer:
√3
Step-by-step explanation:
Using the pythagorean theorem, we know that a^2 + b^2 = c^2
In this case, c = 2, which means that a^2 + b^2 = 4
Since we know that a = 1, this means that a^2 is also 1. So, we know that b^2 = 4 - 1
Therefore, b^2 = 3
So, the answer is square root 3
Plz mark as brainliest :D!
Graph the following Line:
6x+3y=6
Answer:
Visit geogebra.com
Step-by-step explanation:
none needed <3
1. "Six less than twice a murider."
A. 6 - 2x
B. 2x - 6
C. 6x-2
D. 2 - 6x
2. "Five times the sum of a number and four."
A. 5y + 4
B. 4(y + 5)
C. 5 + 4y
D. 5(y + 4)
3. Which is the correct translation of the given 2(m - 3)?
A. Twice difference of 3 and miste C. Twice the difference of m and 3.
6. Twice the sum of m and 3.6
D. Twice the sum of m and 3.
4. "Ten less than thrice the a number"
A. 10 - 3b
B. 3b - 10
C. 106 - 3
D. 3 - 10b
5. Given, m - 4, complete this: 4
A. minus
B. diminished by
a number
C. subtracted from
D. decreased by
6." The ratio of 7 and a number decreased by 2."
A. 7/(x-2)
B. (71x) - 2
C. 7X-2
D. 7 - 2/x
7. "The difference of 10 and k divided by 4 yields to 2."
A. (10-k)/4 = 2 B. 10 - (k/4) = 2 C. 10K/4 = 2
D.K-10/4 = 2
8. "Four times the sum of 12 and y is equal to 60.
A. 4y + 12 = 60 B. 4 + 12y
C. 4(12) + y = 60 D. 4(12 + y) = 60
9. All of the following are correct except
2x + 4; Twice a pumber
A. increased by B. added to
C. plus
D. more than
= 60
10. "8 times a number decreased by 13 becomes 3."
A. 8x + 13 = 3 B. 86- 13 = 3
C. 13 - 8x = 3
D. 13 + 8x = 3
branleast kpo ang sasagot neto
Answer:
C. 6x-2D. 5(y + 4)C. Twice the difference of m and 3.B. 3b - 10B. diminished bya numberB. (7/x) - 2A. (10-k)/4 = 2D. 4(12 + y) = 60D. more than= 60B. 8x- 13 = 31. "Six less than twice a murider."
A. 6 - 2x
B. 2x - 6
C. 6x-2
D. 2 - 6x
2. "Five times the sum of a number and four."
A. 5y + 4
B. 4(y + 5)
C. 5 + 4y
D. 5(y + 4)
3. Which is the correct translation of the given 2(m - 3)?
A. Twice difference of 3 and miste C. Twice the difference of m and 3.
6. Twice the sum of m and 3.6
D. Twice the sum of m and 3.
4. "Ten less than thrice the a number"
A. 10 - 3b
B. 3b - 10
C. 106 - 3
D. 3 - 10b
5. Given, m - 4, complete this: 4
A. minus
B. diminished by
a number
C. subtracted from
D. decreased by
6." The ratio of 7 and a number decreased by 2."
A. 7/(x-2)
B. (71x) - 2
C. 7X-2
D. 7 - 2/x
7. "The difference of 10 and k divided by 4 yields to 2."
A. (10-k)/4 = 2 B. 10 - (k/4) = 2 C. 10K/4 = 2
D.K-10/4 = 2
8. "Four times the sum of 12 and y is equal to 60.
A. 4y + 12 = 60 B. 4 + 12y
C. 4(12) + y = 60 D. 4(12 + y) = 60
9. All of the following are correct except
2x + 4; Twice a pumber
A. increased by B. added to
C. plus
D. more than
= 60
10. "8 times a number decreased by 13 becomes 3."
A. 8x + 13 = 3 B. 86- 13 = 3
C. 13 - 8x = 3
D. 13 + 8x = 3
branleast kpo ang sasagot neto
given teach trig ratio as a fraction in simplest form:sin(N)
Answer:
Choice #1: sq rt 3/2
Step-by-step explanation:
cos N=8/PN
PN=16
tan N=PO/8
PO=13.86
sin N=13.86/16=0.866=sq rt 3/2
There is an unknown number of people at the table at the
beginning of lunch. Then...
3 more people joined the group.
Then the entire group divided into 2 groups, and
one group left and went outside,
of the total students were left in the lunchroom
5 people joined the group in the lunchroom.
The total number of people in the lunchroom at the
end of lunch was 10
a. Write the equation you can create to show this situation.
b. How many people were at the table at the beginning of lunch? Explain how you know.
Answer:
11 hours ago u prob dont need it
Step-by-step explanation:
123456
Find the measures of the numbered angles for each parallelogram.
Answer:
Step-by-step explanation:
∠1=60
∠2 =60
Determine if the lines are parallel, perpendicular or neither. Show all work.
x - 5y = 30 and 10y = 2x + 90
Answer:
The lines are parallel
Step-by-step explanation:
Answer:
Step-by-step explanation:
Put the equations into slope-intercept form.
x-5y = 30 ⇒ y = ⅕x - 6
10y = 2x + 90 ⇒ y = ⅕x + 9
Both lines have slope = ⅕, so the lines are parallel.
3.3 - 3.7n - 2n + 8 nnnnnnnnnnnnnnnnnn
Answer:
-5.7n + 11.3
Step-by-step explanation:
3.3 - 3.7n - 2n + 8 = -3.7n - 2n + 3.3 + 8 = -5.7n + 11.3
enejjennnenenswatehd
Find the measure of an angle and its complement if one angle measures 18 degrees more than the other?
Answer:
x+18=90-x
use this equation and solve
2x=72
x=36
36+18=54
90-54=36
54 degrees and 36 degrees
The solution is, the measure of an angle and its complement are, 54 degrees and 36 degrees.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
We know that, a ray is a line that continues on forever inn one direction with a point at it's start.
here, we have,
let, one angle = x
x+18=90-x
use this equation and solve
2x=72
x=36
so, we get,
36+18=54
90-54=36
Hence, The solution is, the measure of an angle and its complement are, 54 degrees and 36 degrees.
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Write an explicit and recursive rule for the geometric sequence -5, 10, -20, 40… and use it to find the 12th
Answer:
See solutions below
Step-by-step explanation:
Given the sequence -5, 10, -20, 40...
The nth term of the GP is expressed as;
Tn = ar^n-1
a is the first term
r is the common ratio
n is the number of terms
From the sequence, a = -5
r = 10/-5 = -20/10 = -2
Substitute
Tn = -5(-2)^n-1
This gives the explicit formula
For recursive;
a1 = -5
a2 = 10 = -2(-5) = -2a1
a3 = -20 = -2(10) = -2a2
From the shown sequence, we can see that;
an = -2an-1
This gives the recursive formula
Get the 12th term;
Using the explicit formula
T12 = -5(-2)^12-1
T12 = -5(-2)^11
T12 = -5(-2048)
T12 = 10240
Hence the 12th term is 10240
solve for variable y answer in simplest radical form
Answer:
option A
Step-by-step explanation:
option A y = 9√3 is the correct answer .
In∆ PQR
cos 30 = y /18
√3/2 = y / 18
y = 9√ 3
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
14 = 3y - 4
Help me pls
Answer:
y = 6
Step-by-step explanation:
I'm going to assume you want to solve for y.
Step 1: Move all constants to 1 side, isolating y and its coefficient:
14 = 3y - 4
14 + 4 = 3y - 4 + 4
18 = 3y
Step 2: Divide both sides by 3 to solve for y:
3y = 18
3y / 3 = 18 / 3
y = 6
Final answer: y = 6
Given: EGEF = JK
Prove: FG = HJ
PLEASE HELP ASP
Answer:
Done.
Step-by-step explanation:
EG = EF + FG
HK = HJ + JK
We have: EG = HK and EF = JK => FG = HJ
The y-intercept is 2.
Question 1 options:
True
False
Answer:
false. the y-intercept is -2.
What is the slope and y-intercept of the following equation: y = -4 +2x
Answer:
slope = 2, y- intercept = - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 4 + 2x , that is
y = 2x - 4 ← is in slope- intercept form
with slope m = 2 and y- intercept c = - 4
please help.
is it increasing or decreasing?
only one answer please.
Answer:
Increase
Step-by-step explanation:
Hope this is correct
Pls help I really need it
I need to find what x
Answer:
Step-by-step explanation:
Add the 21 then divide by 2
Answer:
x = 16, x = -7
Step-by-step explanation:
The question is;
35 * 4 = ( x - 7 ) ( x - 3 )
Combine like terms on one side;
140 = ( x - 7 ) ( x - 3 )
Distribute, remember to multiply every term with one another;
140 = [tex]x^{2}[/tex] - 3x - 7x + 21
Combine like terms;
140 = [tex]x^{2}[/tex] - 10x + 21
Inverse operations;
140 = [tex]x^{2}[/tex] - 10x + 21
-21 -21
119 = [tex]x^{2}[/tex] - 10x
Factor;
119 = x ( x - 10 )
At this point it is fairly obvious that;
x = 16, x = -7
Note; One could have used a multitude of methods to solve this problem, one could have factored, completed the square, or used the quadratic formula, this method was simply chosen because it is easy to explain
Randy is 3 years old. His sister is 4 times older. How old is randys sister
Answer:
12 years old is the answer
I REALLY NEED HELP!!!!
Answer:
1 2/8 inches
Step-by-step explanation:
smallest = 2/8
largest = 1 4/8
difference = 1 2/8
Which equation shows exponential GROWTH?
A) y=.5^x
B) y=.25^x
C) y= 25^x
D) y= .2^x
c) y = 25^x
explanation
because y increase as x increases