Kyla put 4 ounces of ilk in 2 cups of coffee for her parents. How much milk would she need for 16 cups of coffee? A.1c B.1qt C.2c D.2qt
Answer: 32
Step-by-step explanation: 4/2=2 16*2=32
Asif wants to open a lemonade stand during a town fair. He buys a pitcher and lemonade concentrate from a store for this purpose. At the lemonade stand, the cost for each cup of lemonade will be the same. If Asif sells 32 cups of lemonade, he will have a profit of $0. If he sells 45 cups of lemonade, he will have a profit of $16.25.
Complete question
Asif wants to open a lemonade stand during a town fair. He buys a pitcher and lemonade concentrate from a store for this purpose. At the lemonade stand, the cost for each cup of lemonade will be the same. If Asif sells 32 cups of lemonade, he will have a profit of $0. If he sells 45 cups of lemonade, he will have a profit of $16.25. Determine the rate of change for a function that represents Asif's profit, y, in dollars, from selling x cups of lemonade.
Answer:
Step-by-step explanation:
The rate of Change for the function that determines profit :
Slope value, m ;
Slope, m = Rise / Run = (y2-y1) / (x2 - x1)
y2 = 16.25 ; y1= 0 ; x2 = 45 ; x1 = 32
m = (16.25 - 0) / (45 - 32)
m = 16.25 / 13
m = 1.25
Hence, the rate of change in in profit for selling x k cuos of lemonade = $1.25
please help me solve this equation
Answer:
-85
Step-by-step explanation:
We are given the equation [tex]E^8_{n=1}[/tex][tex](-2)^{n-1}[/tex] and are asked to evaluate it.
This can be solved using the geometric sequence, but first we have to determine our "r", "n", and [tex]a_{1}[/tex].
Of course [tex]a_{1}[/tex] is equal to 1. Therefore,
[tex]a_{1[/tex] = 1
[tex]r=[/tex]
[tex]n=[/tex]
(-2) is the change per number in the sequence, therefore -2 is our "r".
[tex]a_{1[/tex] = 1
[tex]r=-2[/tex]
[tex]n=[/tex]
The number "8" on [tex]E^8_{n-1}[/tex] represents the "n". Therefore 8 is our "n".
[tex]a_{1}=1[/tex]
[tex]r=-2[/tex]
[tex]n=8[/tex]
Use the geometric sequence sum formula and substitute :
[tex]a_{1} \frac{1-r^n}{1-r}[/tex]
[tex]1* \frac{1-(-2)^8}{1-(-2)}[/tex]
[tex]1* \frac{1-(-2)^8}{1+2}[/tex]
[tex]1* \frac{1-256}{1+2}[/tex]
[tex]1* \frac{-255}{3}[/tex]
[tex]1 * -85[/tex]
[tex]-85[/tex]
Answer this question to get marked as barinliest!!!!!!!!
Answer:
3) 81.5 in²
Steps:
D = 32/π = 10.18..
r = 10.18/2 = 5.09
A = π × r²
A = π × 25.93
A = 81.48 ≈ 81.5 in²
in one formula:
A = π(32/π × 1/2)²
A = 81.5 in²
Answer:5.09 sq. inches
Step-by-step explanation:
C = 2π × r
32 = 2π × r
[tex]\frac{32}{2\pi }[/tex] = r
r = 5.09295817894, rounded equals 5.09, so, option 1 is correct
help. i’ll give brainliest & thank you!!
Answer:
The line with a slope of 1/2 is steeper
Step-by-step explanation:
Here, we want to get which slope is steeper
mathematically, when we want to know the line that has a steeper slope, we compare the value of the slopes
The line with a slope that is of greater value will be steeper
Mathematically, 1/2 is a greater number than 1/3
That simply means 1/3 is less steep and thus, the line with the slope of 1/2 is the steeper line
Which function represents exponential decay?
y = 1/100 (6)^x
y = 2 (4/3)^x
y = (4x)^1/2
y = 12(1/8)^x
Answer:
the answer is to 4/3
Step-by-step explanation:
I got the quiz
Can someone please help me and write out the answer
Answer:
2 x + (-2)
Step-by-step explanation:
You have two known points (1,0) and (0,-2)
the slope which is the coefficient of x = 2
and the y-intercept = -2
ill mark brianliest!! pls don't paste your mf links thanks :D
Answer the following question by creating an exponential equation.
1. On the day a rumor was started, 4 people knew about the rumor. The next day, and onward, the number of people who knew about the rumor doubled. On what day did 800 people know about the rumor?
Sonya randomly surveys 26 seventh graders to gather data about the amount of time spent each week using the Internet. Sonya records the data in the dot plot shown. What is the median of the data set?
What is the mean and the median
Answer:
You're lucky I have the dot plot, other wise this could not be answered.
Median: 7.5
Mean: 7.5
Yes, they are both 7.5.
Simplify:
4(6-2) + 62 - 52
Submit
Answer:
26
Step-by-step explanation:
4 (6-2) + 62 - 52 =
4 x 4 + 62 - 52 =
16 + 62 - 52 =
78 - 52 = 26
26
What fraction is equivalent to 3/12?
A.12/48
B.1/4
C.18/60
D.24/96
The height of the rectangular prism measures 64 cm. If the height is increased by 1.5 cm, by how much will the surface area of the box increase?
Answer:
Increase in surface area = 126 cm²
Step-by-step explanation:
Surface area of the rectangular prism has the dimensions as
Length = 42 cm
Width = 35 cm
Height = 64 cm
Total surface area of the rectangular prism = 2(lb + bh + hl)
Here, l = Length of the box
b = Width of rectangular box
h = height
Total surface area = 2(42×35 + 35×64 + 64×42)
= 2(1470 + 2240 + 2688)
= 12796 cm²
If height is increased by by 1.5 cm, new height of the box = 64 + 1.5 = 65.5 cm
Surface area of the box = 2(42×35 + 35×65.5 + 65.5×42)
= 2(1470 + 2240 + 2751)
= 12922 cm²
Increase in surface area = 12922 - 12796
= 126 cm²
What is the perimeter of this regular pentagon?
Answer: P= 5 Hope I helped you
Factor 7m2 + 10m + 3
Answer:
7m^2+13
Step-by-step explanation:
7m^2 + 10m + 3
Add the numbers ;10+3=13
=7m^2+13
Hope this helped!!!
HELP ME PLEASE ITS DUE TODAY!!!!
Step-by-step explanation:
[tex] - 5 - ( - 4) = - 5 + 4 = - 1 \\ - 4 - ( - 5) = - 4 + 5 = 1 \\ - 4 - (5) = - 4 - 5 = - 9 \\ 4 - ( - 5) = 4 + 5 = 9[/tex]
Therefore ranking them from least to most:
[tex] - 4 - (5) \\ - 5 - ( - 4) \\ - 4 - ( - 5) \\ 4 - ( - 5)[/tex]
first to help gets marked brainliest… pls explain how u got the answer plsss
Answer:
177 ft below sea level
Step-by-step explanation:
282
10 x 12 = 120. This represents how man ft the hot air balloon rose.
282 - 120 = 162. Keep in mind your still below sea level.
162 + 15 = 177
You add 15 because the hot air balloon is going down 15 feet which adds to being below sea level. ( Your going deeper/lower)
Hailey went hiking she started the hike at the elevation of 243 feet she climbed down 782 feet when she was ready to leave she climbed back up 118 feet what was haileys elevation at the end of the hiking trip
Answer:
-421 feet
Step-by-step explanation:
If she started at 243 feet, subtract 782 feet which is -539 feet. Then add 118 feet which is -421 feet. This is how my sister did it so I hope it helps!
please help as soon as possible
Answer:
m = [tex]\frac{4}{3}[/tex]
Please help me with this
Rachel needs to buy some pencils. Brand A has a pack of 28 pencils for $5.29. Brand B has a pack of 48 pencils for $8.47 . Find the unit price for each brand. Then state which brand is the better buy based on the unit price. Round your answers to the nearest cent.
Answer:
Hence Brand B is the better buy, since the unit cost is smaller than A
Step-by-step explanation:
Given data
Brand A
Has a pack of 28 pencils for $5.29
unit cost
=5.29/28
=$0.19
Brand B
Has a pack of 48 pencils for $8.47
unit cost
=8.47/48
=$0.18
If Z is the centroid of RST, RZ = 42, ST = 74, TW = 51, ZY = 23 and find each measure TZ = ? ZW = ? SY = ? XZ = ?
The Triangle RST is missing, so i have attached it.
Answer:
A) TZ = 34
B) ZW = 17
C) SY = 69
D) XZ = 21
Step-by-step explanation:
To form the centroid, we see median drawn from the centre of all three sides.
Thus means the 3 sides are divided into 2 and as such;
XS = XT
YR = YT
WR = WT
Now, for median that forms centroid, the two parts are usually not the same length but instead in the ratio 2:1. That means one portion of the line segment is twice the length of the other.
Thus, by inspection of the given triangle, we can say that;
SZ = 2(ZY)
TZ = 2(ZW)
RZ = 2(XZ)
A) Now, we are given TW = 51
TW is made up of TZ and ZW
But since TZ : ZW = 2:1, it means that;
TZ = ⅔ × TW
TZ = ⅔ × 51
TZ = 34
B) From earlier, we saw that TZ = 2(ZW).
Thus; 34 = 2(ZW)
ZW = 34/2
ZW = 17
C) We are given ZY = 23.
From earlier, we saw that;SZ = 2(ZY)
Thus; SZ = 2(23)
SZ = 46
From the attached image we can see that;
SY = SZ + ZY
Thus;
SY = 46 + 23
SY = 69
D) We are given RZ = 42.
From earlier, we saw that;
RZ = 2(XZ)
Thus;
42 = 2(XZ)
XZ = 42/2
XZ = 21
Evaluate the expression when m = 9
m^2 - 14
Step-by-step explanation:
[tex] {9}^{2} - 14 = \\ = 81 - 14 = \\ = 67[/tex]
Answer:
[tex]\Large\boxed{\sf{67}}[/tex]Step-by-step explanation:
You must find the value of m in order to evaluate the expression.
[tex]\sf{m^2-14}[/tex]
For m=9
[tex]\sf{9^2-14}[/tex]
Solve.
Use the order of operations.
PEMDAS
ParenthesesExponentsMultiplyDivideAddSubtractFirst, do exponents.
[tex]\sf{9^2-14}[/tex]
[tex]\sf{9^2=9*9=81}[/tex]
[tex]\sf{81-14}[/tex]
Subtract.
[tex]\sf{81-14=\boxed{\sf{67}}[/tex]
[tex]\Longrightarrow: \boxed{\sf{67}}[/tex]
Therefore, the correct answer is 67.I hope this helps. Let me know if you have any questions.
What is the value of y? Enter your answer as an exact value in the box
Answer:
y = 3
hope it helps and your day will be full of happiness
0.1m+8-12n when m =30 and n =[1fraction[/4]
Answer:
Step-by-step explanation:
Root:
n≈0.00833333 m + 0.666667
Root for the variable n:
n≈-0.0833333 (-0.1 m - 8)
Derivative:
d/dm(0.1 m + 8 - 12 n) = 0.1
Indefinite integral:
integral(8 + 0.1 m - 12 n) dm = 0.05 m^2 - 12 m n + 8 m + constant
Definite integral over a disk of radius R:
integral integral_(m^2 + n^2<R^2)(0.1 m - 12 n + 8) dm dn = 8 π R^2 + 0
Definite integral over a square of edge length 2 L:
integral_(-L)^L integral_(-L)^L (8 + 0.1 m - 12 n) dn dm = 32 L^2 + 0
Arul performed an experiment to determine which crank powered radio works best. He cranked 15 randomly selected radies of each brand 30 times at the same speed and measured how long the radies played in minutes before running out of power the results of the experiment are displayed in the box plots below
Answer:
50%
Step-by-step explanation:
Let f(-x) = 5x – 2 and g(x) = 2x + 3 and find f(x) –
f(0) — 9(x) = 7x – 1
f(.2) – 9(x) = 7x + 1
f(x) — 9(2) = 3x – 5
f(x) – 9(x) = -3x +5
Answer:
3x - 5
Step-by-step explanation:
Given that f(x) = 5x - 2 and g(x) = 2x+3
f(x) - g(x) = 5x-2 - (2x+3)
Expand
f(x) - g(x) = 5x - 2 - 2x - 3
Collect like terms
f(x) - g(x) = 5x - 2x -2-3
f(x) - g(x) = 3x - 5
Hence the required answer is 3x - 5
7. A bucket is empty. You are filling the bucket with water at a rate of
3 inches per second.
a. Plot the points (0,0) and (5, 15).
b. What do the points in part (a) represent?
c. Draw a line through the points.
d. What does the line represent?
e. Write an equation of the line.
Answer:
a. Please find attached the plot of the points (0, 0) and (5, 15)
b. The point (0, 0) represents the start point
The point (5, 15) represents the point in the relationship between the water level and the change in time after 5 seconds
c. Please find attached the graph showing the Linear Trendline drawn between the points (0, 0) and (5, 15)
d. The line represents the possible combination time and water level during filling the bucket
e. The equation of the line is y = 3·x
Step-by-step explanation:
The rate at which the empty bucket is filled = 3 inches per second
a. Please find attached the plot made with Microsoft Excel of the points (0, 0) and (5, 15)
b. The points in part (a) (0, 0) and (5, 15) represent the following stages;
1) The point (0, 0) represents the point where the bucket is initially empty before filling the bucket with water
2) The point (5, 15) represents the 5 seconds of filling the bucket with water to a level of 15 inches
c) Please find attached the plot of the points with a Linear Trendline drawn between the points created with Microsoft Excel
d. The straight line drawn from point (5, 15) and passing through the origin at (0, 0) represents the proportional relationship between the water level in the bucket and the amount of time used in filling the bucket
e. The equation of the line is the equation of a proportional relationship which can be expressed in the following form;
y = kx
k = y/x
At the point (5, 15), we have;
y = 15, and x = 5
∴ k = 15/5 = 3 = The rate at which the bucket is filled with water
k = 3
Therefore, we have;
y/x = k = 3
∴ y/x = 3
y = 3 × x = 3·x
The equation of the line is therefore;
y = 3·x
ifer has a small business mixing and selling essential oils. One product is a mixture of two oils, lavender and peppermint. She asked her assistant, Carmen, to check on two suppliers to determine the costs for her next batch. Carmen contacted the suppliers and got quotes from each for the order. She misplaced the number of ounces of each oil she needed to purchase.
The information she has is:
Supplier A:
lavender: $5.80/ounce
peppermint: $4.20/ounce
Total cost: $128.40
Supplier B:
lavender: $4.50/ounce
peppermint: $5.00/ounce
Total cost: $124She decides to solve a system of equations to determine the number of ounces of lavender, L and of peppermint, P, she should order. What system of equations can Jennifer use to find L and P?
a 5.8L+5P=128.4; 4.5L+4.2P=1245.8L+5P=128.4; 4.5L+4.2P=124
b 4.2L+5.8P=128.4; 5L+4.5P=1244.2L+5.8P=128.4; 5L+4.5P=124
c 5.8L+4.2P=128.4; 4.5L+5P=1245.8L+4.2P=128.4; 4.5L+5P=124
d 2L+5P=128.4; 4.5L+5.8P=1244.2L+5P=128.4; 4.5L+5.8P=124
What mathematical operation is used in a check register when a withdrawal is made?
Group of answer choices
Answer:
Subtraction
Step-by-step explanation:
In general, there are two things you can do with savings:
withdraw or deposit.
Withdraw essentially means to take out money and deposit is converse.
These two processes can be associated with the mathematical operations subtraction and addition respectively.
Determine the value of X
Answer:
x=17
Step-by-step explanation:
There are two congruent angles so we can double the given values and set that equal to 360. After setting that equal to 360 you find that x is equal to 17, then you plug that into the original equations and get your angles