Number of packs of cups to be purchased = 5 packs and Number of cups remaining if 80% lemonade is sold = 85 cups.
What are the two equations for a cone's volume?The volume of cone is calculated using the formula (1/3)r2h, where "h" stands for the cone's height and "r" for the base radius. As a result, (1/3)r2 is the cone's volume in terms of the slant height "L." (L2 - r2).
Volume of a cone:Volume of a cone is given by the expression,
V = 1/3πr²h
Here,
r = radius of the cone
h = Height of the cone
Radius of the cone = = 4 cm
Height of the cone = 11 cm
Amount of lemonade = 10 gallons
Volume of one cone = 1/3π(4)²× 11
= 184.307 cm³
Covert the gallons into cubic cm,
∵ 1 gallon = 3785 cm³
∴ 10 gallons = 37850 cm³
∵1 cones are represented by a volume of 184.307 cm3.
∴ 1 cm³ will represent the volume = 1/184.307 cup
∴ 37850 cm³ will represent the volume = 37850/184.307 cups
= 205.36 cups
= 205 cups
Therefore, number of packs of cups to be bought = 205/50
= 5 packs
b). If 80% of the lemonade are sold, amount of lemonade sold = 10 × 80/100
= 8 gallons
Volume of 8 gallons lemonade in cm³ = 8 × 3785
= 30280 cm³
Therefore, number of cups to be used = 30280/184.307 cups
= 164.29 cups
≈ 164 cups
Number of cups purchased = 250
And there are 250 cups left after subtracting 164.
= 86 cups
Therefore, number of cups remaining are 86 cups.
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Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0
Answer:
2x-4=0
2x=-4
Step-by-step explanation:
2x-4=0
2x-4+4=0+4
2x/2=4/2
x=2
2x=-4
2x/2=-4/2
x=-2
Mr Kai had some packets of salt. He sold 5/6 of the packets of salt and had 15 packets left. How many packets of salt did Mr Kai have at first?
Answer:
90
Step-by-step explanation:
[tex]\frac{1}{6}+\frac{5}{6}[/tex]
in here [tex]\frac{1}{6}= 15\\ \\so\\\\\frac{5}{6} =75\\\\\frac{1}{6} +\frac{5}{6}=\frac{6}{6} \\[/tex]
in this case it is 15+75=90
K
If a 42 gal hot water tank holds 350 lb of water, what weight of water will a 59 gal tank hold?
A 59 gal tank hold will hold lb of water.
(Round to the nearest whole number as needed.)
A 59 gal water tank hold will hold 492 lb of water.
How much water would a 59 gal tank hold?The first step is to determine how many lb of water a 1 gal hot water tank can hold. In order to determine this value, divide 350 by 42.
Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷.
Weight of water in a 1 gal water tank = 350 / 42 = 8.333 lb
Now, multiply the value gotten in the previous step by 59.
Weight of water in a 59 gal water tank = 8.333 x 59 = 492 lb
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Anastasia is grocery shopping with her father and wonders how much shopping is left to do. "We already have 60\%60%60, percent of the items on our list," her father says. Anastasia sees 121212 items in the cart.
The number of items on their grocery shopping list given the percentage already bought is 20 items.
How many grocery items are on the list?Percentage of items bought already= 60%
Number of items bought already= 12
Total number of items on the list= x
Number of items bought already = Percentage of items bought already × Total number of items on the list
12 = 60% × x
12 = 0.6 × x
12 = 0.6x
divide both sides by 0.6
x = 12/0.6
x = 20 items
Hence, there are a total of 20 items on their grocery list.
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Solve the system of equations using elimination.
2x + 3y = −8
3x + y = 2
Answer: x = 2 and y = -4
If $600 is put in the bank and each year the account earns 7 % simple interest, then how much interest
will be earned in two years?
$42
$63
$84
$420
Answer: $84
Step-by-step explanation:
The interest earned in 2 years would be $600 * 7% * 2 = $84.
The mass of a radioactive substance follows a continuous exponential decay model, with the decay rate parameter 4% per day. A sample of this radioactive substance has an initial mass of 2.05 kg. Find the mass of the sample after four days. Round your answer to two decimal places.
The mass of the sample after four days is 1.75 kg.
How to find the mass of the sample after four days?The decay rate for a radioactive substance follows the exponential decay formula:
m(t) = m₀ * e^(-kt),
where m₀ is the initial mass, m(t) is the mass at time t, k is the decay rate parameter, and e is the base of the natural logarithm.
Given that the initial mass of the sample is 2.05 kg and the decay rate parameter is 4% per day, the formula becomes:
m(t) = 2.05 * e^(-0.04t).
To find the mass after four days, we substitute t = 4:
m(4) = 2.05 * e^(-0.04 * 4)
m(4) = 1.75 kg
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5(4 · 3 + 3 · 4)= 300 120 480
Answer:
120
Step-by-step explanation:
First you do the question in the paretheses.
12 + 12 = 24
5 x 24 = 120
Answer:120
Step-by-step explanation:
Which is the best description for the graph of a > 4?
O A vertical dotted line at (4,0) with the shading to the right of the line.
O A vertical solid line at (4,0) with the shading to the right of the line.
A vertical dotted line at (4,0) with the shading to the left of the line.
A vertical solid line at (4,0) with the shading to the left of the line.
Note that the best description for the graph is a > 4 is "A vertical solid line at (4,0) with the shading to the right of the line." (Option B)
What is the rationale for the above answer?Note that the inequality means that a is greater than 4. This means that the end value 4 is not included.
To graph the inequality " > " a dashed line is used. The inequality does not contain any y - value in it.
Hence, it has only one vertical line at a> 4 and is shaded for all values of a greater than 4.
Thus, the graph that fits the inequality is a vertical dashed line, shaded to the right of the line.
It is correct to state, therefore, that option B is the corect answer.
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the ratio of diners to waiters is 1:8 respectively. If the total number of people in the restrant is 36, how many waiters are there
There are 32 waiters in the restaurant.
What is ratio?The ratio is a numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.
Given:
The ratio of diners to waiters is 1:8 respectively.
Let x be the number of diners and 8x be the number of waiters.
If the total number of people in the restaurant is 36,
that means, 8x + x = 36
x = 4
Then, the number of waiter = 32.
Therefore, the number of waiter = 32.
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A study suggest 14.7% of all four digit personal identification numbers, or PIN codes, have a repeating digits format such as 2525. Assuming this to be true, if the PIN codes of four people are selected at random, what is the probability that at least one of them will have repeating digits?
The probability that at least one of the codes will have repeating digits is 0.4712.
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Here, The probability of a pin being repeated is 14.7%
⇒ 14.7/100
After Eliminating the decimal point;
⇒ 14.7/100 = 147/1000
Hence,
The probability that a pin, if selected will have a repeating digit format = 147/1000
The probability of a pin not having repeating digits format is,
⇒ 1 - 147/1000
⇒ 853/1000
If four codes are selected at random (without replacement), the probability that all four of the codes will not have repeating digits format is,
⇒ (853/1000) x (852/999) x (851/998) x (850/997)
⇒ 0.5288
Thus, The probability that at least one of them will have repeating digits is,
⇒ 1 - 0.5288
⇒ 0.4712
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A student starts a walk at (-7, -9). If the student walks 3 miles north, south, east, or west, which of the following could be their location at the end of the walk?
O(-10,-9). (-4,-9), (-7,-6). (-7, -12)
O(-9,-7), (-12, -7), (-4,-6), (-10,-6)
O(-7,3), (-7, -12), (-4,-9). (3,-9)
O (3,-9), (6,-9), (-7,-4), (-7, -12)
If the student walks 3 miles north, south, east, or west, the location at the end of the walk are respectively, (-10,-9). (-4,-9), (-7,-6). (-7, -12).
So Option A is correct
What is subtraction and addition ?In mathematics, subtraction is an operation which means taking away a few portions of the group or few things from a whole part.
For example, if we take 4 pencils out of 10 then remaining pencils are 6
so this process is called subtraction.
And opposite operation of subtraction is known as addition, which means in addition, few portion provided to the whole part.
Given that,
A student starts a walk at (-7, -9)
If the student walks 3 miles north, south, east, or west,
The location at the end of the walk = ?
Plotting dotted diagram,
East
|
North --------- |-------------- South
|
West
Suppose, he goes to north direction
Then, 3 will be subtracted from x coordinate,
It can be written as,
(-7-3, -9)
(-10, -9)
Similarly, for South, (-4, -9)
East, (-7, -6)
West, (-7, -12)
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I’ll give braniest
Find the area of the triangle
In the picture
Pls help asap Solve for x. x =
The ratio will remain constant. Then the value of the variable 'x' will be 2.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
The ratio will remain constant. Then the equation is given as,
9/4 = 13.5 / (x + 4)
9(x + 4) = 13.5 (4)
9x + 36 = 54
9x = 18
x = 2
The ratio will remain constant. Then the value of the variable 'x' will be 2.
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6
x
+
8
=
3
x
+
6
Give your answer as a fraction
Answer: x = -2/3
Step-by-step explanation:
6x+8=3x+6
First, subtract 8 from each side. we now have 6x = 3x - 2. now we subtract 3x from each side and we get 3x = -2. we have to divide both by 3 now. The 3’s cancel each other out so now we have x = -2/3
need help very badly thank you
Answer:
a) 08:30 b) 07:54 c) 26 minutes
Step-by-step explanation:
a) Bus leaves Church Street at 07:59. Bus Station times are at 07:40, 08:30 and 9:20. 07:40 is 9 minutes is earlier then 07:59 (07:59 > 07:40) therefore its 08:30.
Answer: 08:30.
b) If Jo has to get there at 8.30am, the time of the latest bus she can take is the one at 08:44. 07:04 is too early and so is 07:54.
Answer: 07;54
c) Lets use the bus that comes to School Road at 08:04 to make it easier. The bus will arrive at 08:30 at Bus Station. Focus on the minutes, not hours. 30 - 4 = 26, meaning it will take 26 minutes from School Road to the Bus Station.
Answer: 26 minutes
P.S (Let me know if I may have made a mistake, because I did it multiple times)
g (7) g (x) = - 10x - 7
Help me please I beg
Answer: i use brainly.in for homework
Step-by-step explanation: all u have to do is times then divide the numbers
16. AQRS is an equilateral triangle. If QR is seventeen more than twice x, RS is 19 less than six times x,
and QS is one less than four times x, find x and the measure of each side.
Topic 4: Congruent Triangles
18. Write three valid congruency statements given the triangles below.
P
17. In AJKL, if JK = JL, m/J = 23x - 4, m/K = 4x - 1, and m/L = 9x - 31, find x and the
measure of each angle.
¥
Q
R
S
|||
T
U
19. If AKPLAACM, complete each part.
a) KL =
d)
The value of x is 9 and the measure of each side is 35 units.
What is an Equilateral Triangle?A triangle is said to be equilateral if each of its three sides is the same length.
In the well-known Euclidean geometry, an equilateral triangle is also equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others.
Given, Triangle QRS is an equilateral triangle.
QR is seventeen more than twice x ---> QR = 17 + 2x
RS is 19 less than six times x, ---> RS= 6x - 19
And QS is one less four times x, ---> QS = 4x -1
We have to find x and measure of each side.
Now, we know that, the sides of an equilateral triangle are equal,
If we solve for RS and QS, we find they are both equals to 35.
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Point T is at (-2,5). What are the coordinates of point T after R y axis o R axis
The coordinates of point T' after Ry-axis is (2, 5) and the coordinates of point T' after Rx-axis is (-2, -5). The solution has been obtained by using the concept of reflection.
What is reflection?
In geometry, a reflection is referred to as a flip. In a reflection, the shape is reflected. An image will reflect over a line known as the line of reflection.
We are given a point T(-2, 5)
In order to find the coordinates of the reflection of point in the y-axis, we need to change the sign of abscissa i.e., x-coordinate and retain the ordinate i.e., y-coordinate.
So, we get the image of (-2 , 5) as (2, 5)
Thus, the coordinates of point T' after Ry-axis is (2, 5).
When we reflect across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse.
So, we get the image of (-2 , 5) as (-2, -5).
Thus, the coordinates of point T' after Rx-axis is (-2, -5).
Hence, the coordinates of point T' after Ry-axis is (2, 5) and the coordinates of point T' after Rx-axis is (-2, -5).
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1 inch to 235 feet and its height is 3.5 inches.
The solution is, its height is 3.5 inches. i.e. is 822.5 ft.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
If 1 inch is 235 feet
and it’s height is 3.5 inches
we would multiply the 235 by 3.5
i.e. 235*3.5
=822.5 ft.
and get our answer: 822.5ft
Hence, The solution is, its height is 3.5 inches. i.e. is 822.5 ft.
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water and food are products of?
Find m< c of this shape
The value of ∠C is 73 degrees.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
We need to find the value of ∠C
the value of ∠A is 59 degrees and the value of ∠B is 48 degrees.
We know that from angle sum property the sum of three angles is 180 degrees.
∠A+∠B+∠C=180
59+48+∠C=180
107+∠C=180
Subtract 107 from both sides
∠C=180-107
∠C=73 degrees.
Hence, the value of ∠C is 73 degrees.
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Does the relationship in this table represent a proportional relationship?
X 0.2 0.4 0.75 0.875
Y 0.4 0.8 1.5 1.75
Select from the drop down menu to correctly complete the statement.
The relationship ______ represent a proportional relationship
PLEASE HELPPP!!
Answer: I don't know what's in the drop down menu, but the relationship you displayed is indeed a proportonial relationship
Step-by-step explanation: For each change of x, an equal change of y occurs. If you double x, y doubles as well. That means that the relationship between x and y is dirctly proportional.
Answer:
Step-by-step explanation:
does not I think
A square piece of cloth with an area of 324 square inches is folded in half twice to form the napkin shown. What is
the area of the folded napkin?
The area of the napkin will be 162.5 inches².
What is the area of a square?The area of a square is -
{A} = Side x Side
Given is that a square piece of cloth with an area of 324 inches² is folded in half twice to form the napkin.
The area of the cloth is -
{A} = 324
Let the side of the square cloth be {a}. So, we can write -
a² = 324
a = √324
{a} = 18 ... Eq { 1 }
The diagonal of the square will be the base length of the napkin (in the form of triangle). So, we can write -
d² = a² + a²
d² = 2a²
d² = 648
d = √648
{d} = 25.5 inches ... Eq { 2 }
The height would be -
h = d/2
h = 25.5/2
{h} = 12.75
The area of the napkin would be -
1/2 x d x h
1/2 x 25.5 x 12.75
162.5 inches²
Therefore, the area of the napkin will be 162.5 inches².
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PLEASE ANSWER UNDER 5 MIN!!!! ily!!!!
what is the period of the sinusoidal function? enter your answer in the box.
Answer:
Step-by-step explanation:
10
Ws
In a recent survey, a group of people were asked if they were happy or unhappy with the state of the country. The data are shown in the contingency table below, organized by political party. What is the odds ratio for people unhappy with the state of the country to be republicans against people happy with the state of the country to be republicans? Round your answer to two decimal places
The data are shown in the contingency table below, organized by political party therefore the odds ratio for people unhappy with the state of the country to be republicans against people happy with the state of the country to be republicans is 0.64.
What is Data?This is referred to as information that has been translated into a form that is efficient for movement or processing.
Number of people unhappy with the state of the country to be republicans = 98
Number of people happy with the state of the country to be republicans = 152
Therefore the ratio is 98/152 = 0.64
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Answer:
Step-by-step explanation:
0.46
erastdyfugihojlhgfdszerWestdyfughilj;hgufydtyrstzerxytcfyguhlij;lk
Answer:
36/27
Step-by-step explanation:
SOHCAHTOA, so tan is opposite over adjacent.
opposite = 36
adjacent = 27
So, tan C is 36/27
Indicate the method you would use to prove the two 's . If no method applies, enter "none". SSS SAS ASA AAS None 45 degrees
Answer:
hi
Step-by-step explanation:
2/x x 3/2x-5 rational expressions
Answer: To find the product of two rational expressions, we multiply the numerators together to get the new numerator and multiply the denominators together to get the new denominator.
So, (2/x) * (3/2x-5) = (2 * 3) / (x * (2x-5)) = 6 / (2x^2 - 5x)
Step-by-step explanation: