Patricia and her brother Ian help themselves to a pitcher of lemonade on the kitchen counter. Patricia takes a glass and fills it with p ounces of lemonade. Ian takes a bigger glass and pours himself 20% more lemonade than Patricia poured in her glass. Write an expression to represent the quantity of lemonade(in ounces) in Ian’s glass in terms of the quantity in Patricias glass (p).
Part A- Write an expressionism terms of p that shows how many more ounces Ian poured in his glass than Patricia poured in hers.
Part B-Write an expression in terms of p to represent the amount of lemonade (in ounces) Ian poured in his glass. Include two terms in your expression.
Part C- combine the like terms in the expression from part B to create an equivalent expression.
Part D- using the simplified expression you wrote in part C, and domain what it means to have 30% more of a given quantity.
Part E- suppose that Patricia drinks one-fourth of the lemonade in her glass. Write an expression in terms of p that represents the number of ounces Patricia drank.
Part F- in part E, Patricia drank one-fourth of the lemonade in her glass. Write and expression in terms of p that represents the number of ounces Patricia has left in her glass. Include two terms in your expression.
Part G- combine the like terms in the expression from part F to create an equivalent expression.
Part H- using the simplified expression you wrote in part G, explain what it means to have 1/4 less of given quantity.
Please help me I’m struggling on this!
Answer:
Part A: 0.20p or 0.2p (doesn't matter which one you use)
Part B: p + 0.2p
Part C: p + 0.2p = 1p + 0.2p =
1.2p
Part D: increasing a quantity by 20% is the same as multiplying the quantity by 1.2
Part E: 1/4p ounces
Part F: p - 1/4p
Part G: = 3/4p
Part H: decreasing a quantity by 1/4 is the same as multiplying the quantity by 3/4
Step-by-step
7y-(9+4y)= -3
y=?
Rest in peace 999
Answer:
y = 2
Step-by-step explanation:
Given
7y - (9 + 4y) = - 3 ← distribute parenthesis by - 1
7y - 9 - 4y = - 3 , that is
3y - 9 = - 3 ( add 9 to both sides )
3y = 6 ( divide both sides by 3 )
y = 2
Answer:
you are not a brainly bot
Step-by-step explanation:
Bananas are 5 for 79 cents . Isaiah bought 7 bananas. How many did Isaiah spend?
A. $1.58
B. $1.18
C.$1.11
D.$1.01
?
Calculati- 2x + 3y – 5x + y
Answer:
.10
x
2
+
11
x
y
−
6
y
2
Step-by-step explanation:
The Expression
=
(
2
x
+
3
y
)
(
5
x
−
2
y
)
=
2
x
(
5
x
−
2
y
)
+
3
y
(
5
x
−
2
y
)
=
10
x
2
−
4
x
y
+
15
x
y
−
6
y
2
=
10
x
2
+
11
x
y
−
6
y
2
.
determine the domain and range for this relationship. Drag the tiles to the correct locations. Not all tiles will be used.
domain:
range:
{4,4.5,5,5.5,6,6.5,7}
(i cant do the less than or equal to sign but its supposed to have the line under it.)
4
0
4
{4,5,6,7}
0
0
{0,1,2,3,4,5,6}
pleaseee help me thanks
Answer in the picture below!
What is the surface area of a cylinder with a radius of 6 cm and a height of 3 cm?
A.108cm
B.72cm
C.54cm
D.36 cm?
Step-by-step explanation:
2πr^2h
2*22/7*6*6*3
2*22/7*36*3
2*22/7*108
Marcy went to store and bought a t-shirt for $7.89 and a skirt for $10.99. There was a 25% discount off everything in the store. How much did she pay, not including tip?
Answer:
$5.91 for the t-shirt. $8.24 for the skirt
Step-by-step explanation:
It's correct don't worry. The problem is I cant explain but it's correct, also if you can please give brainliest
what is 4.949 cubic feet rounded to
Answer:
5 Cubic Feet
Hope this helps.
6 The manufacturer of an oven states that the
temperatures displayed while cooking are within a
5% error. Rachel is using the oven to cook a chocolate
cake that must be cooked at a temperature below
325°C. The oven display shows a temperature of 310°C.
Can Rachel be certain that the temperature is suitable
for cooking her cake? Explain your answer.
Result, Rachel can be certain that the temperature is suitable for her cake.
Rachel cannot be certain that the temperature displayed on the oven is suitable for cooking her cake.
The manufacturer's claim of a 5% error on the displayed temperature means that the actual oven temperature can be off by 5% in either direction. To calculate the range of possible actual temperatures, we need to find 5% of 310°C. 5% of 310 = (5/100) * 310 = 15.5°C This means that the oven temperature could be 15.5°C higher or 15.5°C lower than the displayed temperature.
To find the maximum possible temperature, we add the error to the displayed temperature: 310°C + 15.5°C = 325.5°C Since the maximum possible temperature is slightly above 325°C, Rachel cannot be certain that the temperature is suitable for cooking her cake, as it needs to be cooked at a temperature below 325°C. It's important for Rachel to consider using an alternative thermometer or verifying the actual temperature with the oven manufacturer to ensure the cake is cooked at the desired temperature.
To know more about thermometer visit:
https://brainly.com/question/16840415
#SPJ2
Calculate the Slope *
(8,-5)(4,-2)
A -4/3
B -3/4
C 7/4
D -7/4
The Sloan family stayed in a hotel room for 6 nights while on vacation. The total cost before tax was $1,170. If the hotel room tax rate in the city is 12%, what was the total cost for the hotel room?
Answer:
Total cost for the hotel room is $1310.4
Step-by-step explanation:
The total cost before tax was $1170.
The tax rate is 12%.
So, tax paid = 12%(1170)
Convert 12% to decimal. We get 12% as 0.12
So, tax =0.12*1170 =140.4
So, total cost for the hotel room = $140.4 +$1170 =$1310.4
Bunty goes 500 km from Delhi towards East direction. Bubly goes 200 km for Delhi towards
West direction. What is the distance Bubly has to cover to reach Bunty?
the ans is:700km
plz explain me
Answer:
700 km
Step-by-step explanation:
Distance covered by Bunty = 500 km
Distance covered by Bubbly = 200 km
Displacement between them = 500 + 200 km = 700 km
This means Bubbly has to cover a distance of 700 km to reach Bunty.
Which of the following are part of the solution to 7-6n<31 ( select all that apply)
A. -10
B. -4.1
C. -4
D. -3.9
E. 0
F. 3.9
G. 4
H. 4.1
I. 10
Answer:
the anwers is the G
i hope this hepl you
What is the slope of the line?
Answer:
One
Step-by-step explanation:
When you count the units from one point to another, the answer is one. The units are one to the right then one up. 1/1
Step-by-step explanation:
slope =1
since the intercepted part of X_ axis and y_ axis are equal
so , the line make 45 angle with x_ axis
slope = tan O =1
can someone please help me factor and write the equations for these two problems ?
Answer:
Step-by-step explanation:
Asymptotes 3
g(x) = [tex]\frac{3x}{x^2-3x-10}[/tex]
Factors of denominator will be,
x² - 3x - 10 = x² - 5x + 2x - 10
= x(x - 5) + 2(x - 5)
= (x + 2)(x - 5)
Therefore, factored form of g(x) will be,
g(x) = [tex]\frac{3x}{(x + 2)(x - 5)}[/tex]
Asymptotes 4
h(x) = [tex]\frac{(x-5)}{x^{2} + 14x + 40}[/tex]
= [tex]\frac{x-5}{x^{2}+10x+4x+40}[/tex]
= [tex]\frac{x-5}{x(x+10)+4(x+10)}[/tex]
= [tex]\frac{x-5}{(x+10)(x+4)}[/tex]
Triangles ABC and DEF are similar. If ∠ABC = 101°and ∠BCA = 39°, find the measure of angle FDE.
Two triangles, ABC and DEF, similar. <ABC = 101° and <BCA = 39°. Find the angle of FDE!
40°
EXPLANATIONKnown :Triangle ABC and DEF is similar<ABC = 101° = <DEF<BCA = 39° = <DFEAsked :Angle of FDEAnswer :
The sum of all triangle angle is 180°
101 + 39 = 140°
180 - 140 = 40°
So, the angle of FDE is 40°
ANSWER DETAILSSubject : Math
Class : 7th Grade (Junior High School)
Chapter : -
Categorization Code : -
Keywords : Angle of a triangle
what is 2/3x + 1/4x= 6 ??????
Answer:
x=72/11
Step-by-step explanation:
What is the slope of the line that passes through the points (3,-5) and (1,-5)? In simplest form.
Answer:
Step-by-step explanation:
The way to find slope is by y2-y1/x2-x1 which gives you slope ,but if you just want the answer its zero.
In a recent flu epidemic, the number of flu cases increased by 40% each week. There were 3,000 flu cases during the first week of January. How many more people were affected by the flu during the third week of January than during the first week?
Answer:
2880
Step-by-step explanation:
The total number of people affected by flu during the 2nd and 3rd week of January, 1200 + 1680 = 2880
Answer
2880
Step-by-step explanation:
3 times the sum of 4 and 9:
I’m confused can anybody help me I forgot how to do it?
Answer:
39
Step-by-step explanation:
4 + 9 = 13
13 × 3 = 39
if you need more help let me know
Answer:
39 sorry if im worng
Step-by-step explanation:
3*(4+9)
Identify the graph described by the function P(x)=x/10
for x =1.2,3, and 4
how to solve using Substitution or Elimination?
y=3x-1
y=2x+2
By elimination:
y = 3x - 1
y = 2x + 2
Subtract the second equation from the first
0 = x - 1
y = 2x + 2
Subtract the first equation from the second
0 = x - 1
y = x + 3
Subtract the first equation from the second again
0 = x - 1
y = 4
Subtract x from both sides of the first equation
- x = - 1
y = 4
Divide the first equation by (-1)
x = 1
y = 4
So, the solution is x = 1 and y = 4 {or: (1, 4)}Find f(6); f(n) = 5 – 2n
Answer:
f(6)=-7
Step-by-step explanation:
Just plug in n=6 into the function:
f(n)=5-2n
f(6)=5-2(6)
f(6)=5-12
f(6)=-7
Therefore, the correct answer is f(6)=-7
Answer:
the answer is g=−12+ 30/n
Step-by-step explanation:
A plumber charges his customers $25.70 per hour, h, plus a $54.50 service fee.On Tuesday,he earns $118.75 for fixing Mrs.Goodwill's sink. How long does it take the plumber to fix Mrs.Goodwill's sink
Answer:
2.5 hours
Step-by-step explanation:
Given that :
Charge per hour = 25.70
Service fee = $54.50
If total earning = 118.75 ; how many hours did it take to fix the sink?
Let number of hours = x
Total earning = service fee + (charge per hour * number of hours)
118.75 = $54.50 + (25.70x)
118.75 - 54.50 = 25.70x
64.25 = 25.70x
x = 64.25 / 25.70
x = 2.5
Hence, it took 2.5 hours to fix the sink
50 in.
14 in.
Find the length of the missing side.
52 in.
24 in.
48 in.
16 in.
Answer:
48
Step-by-step explanation:
Find the x−and y−intercepts.
−7x + 5y = 35
Answer:
x intercept = (-5,0)
y intercept = (0,7)
Step-by-step explanation:
Please help will give brainliest!
Which change to the simulation used is BEST to produce output that better resembles the theoretical output? A increase the number of trials to 1000
Answer:
Dont worry I got you
Step-by-step explanation:
The Answer is 30 or at least it was for my test, I got the same question lol
Josh has been working andsaving money in order to buy a car andtravel the country. According to hiscalculations, it will cost him $1450 amonth for all his expenses. If Josh hassaved up $40,000, and will be purchasinga car for $16,500, at most, how manymonths will he have enough money totravel?
Answer:
16 months
Step-by-step explanation:
40k-16.5k=23.5k. 23.5k/1450= A little bit more than 16 months.
WHOEVER ANSWERS IT WILL GET BRAINIST ASAP DUE IN 5 MINUTES
Answer:
A. & B.
Step-by-step explanation:
General form is ax2 + bx + c = 0.
Must contain an x2 term
Must NOT contain terms with degrees higher than x2 eg. x3, x4 etc
Answer:
a and b, that's what the first guy said but i dont know I think hes right
Ivania is trying to figure out how far her home is from the library. If 1/4 of the distance between Ivania’s home and library is 1/3 mile, how long is the total distance?
