Answer:
8
Step-by-step explanation:
24 bottles = 16 dollars!
? bottles = 12 dollars
Note:
In these type of Questions, find out any dollars you could get with 1 bottle
or in simple terms, (first find the unit Rate)
24/16 = 1.5
1 bottle = 1.5 dollars
? bottles = 12 Dollars?
12/1.5
= 8
I hope that helps! Have a wonderful day!A steep mountain is inclined 75 degree to the horizontal and rises 3900 ft above the surrounding plain. A cable car is to be installed by connecting a cable from the top of the mountain to a spot on the plain that is 910 ft from the base of the mountain. Find the shortest length of cable needed.
Answer: [tex]4004.76\ ft[/tex]
Step-by-step explanation:
Given
inclination is [tex]\theta=75^{\circ}[/tex]
Mountain is [tex]h=3900\ ft[/tex] high
Cable is tied [tex]x=910\ ft[/tex] from the base of the mountain
From the figure, length of the shortest path is [tex]l[/tex]
It is given by using Pythagoras theorem
[tex]\Rightarrow l^2=3900^2+910^2\\\Rightarrow l=\sqrt{(3900)^2+(910)^2}\\\Rightarrow l=4004.76\ ft[/tex]
The square of y varies directly as the cube of x.When x=4 y=2.Which equation can be used to find other combinations of x and y
Answer:
y² = (1/16)x³
Step-by-step explanation:
Given that :
y² varies directly as the cube of x
y² α x³
y² = kx³ - - - (1)
Where, k = constant of f proportionality
We can obtain the value of k ; when x= 4 and y = 2
2² = k4³
4 = 64k
k = 4/64
k = 1/16
Putting k = 1/16 in (1)
y² = (1/16)x³
[tex](a+b)^{2}[/tex]
Answer:
[tex] ({a + b})^{2} [/tex]
[tex](a + b)(a + b)[/tex]
[tex] {a}^{2} + 2ab + {b}^{2} [/tex]
hope this help you
HAI HELP ME ASAP PLEASE
Answer:
Y/X = 2/3 x^2 + 16/3
Y= 2/3 x^3 + 16/3 x
Just replace y with y/X and X with x^2
Solve by substitution:
y=x-12
8x+8y=-16
Answer:
[tex](x,y) = ( 5 , - 7)[/tex]
Step-by-step explanation:
we would like to solve the following system of linear equation by substitution:
[tex] \displaystyle \begin{cases} y = x - 12\\ 8x + 8y = - 16\end{cases}[/tex]
notice that, we're already given the value of y therefore simply substitute it to the II equation
[tex]8x + 8(x - 12) = - 16[/tex]
distribute:
[tex]8x + 8x - 96= - 16[/tex]
simplify addition:
[tex]16 x- 96= - 16[/tex]
isolate -96 to left hand side and change its sign:
[tex]16 x= - 16 + 96[/tex]
simplify addition:
[tex]16 x= 80[/tex]
divide both sides by 16 and that yields:
[tex] \boxed{x= 5}[/tex]
now substitute the got value of x to the first equation:
[tex]y = 5- 12[/tex]
simplify subtraction:
[tex]y = - 7[/tex]
hence,
the solution is (x,y)=(5,-7)
Solve by substitution :
y = x - 12
8x + 8y = -16
S O L U T I O N :y = x - 12 ------- eq(1)
8x + 8y = -16 ------- eq(2)
Finding x ⤵
Putting y = x - 12 in eq(2) we get
8x + 8(x - 12) = -168x + 8x - 96 = -1616x = 96 - 1616x = 80x = 80/16x = 5Finding y ⤵
Putting x = 5 in eq(1) we get
y = x - 12y = 5 - 12y = -7Hence, x is 5 and y is -7
what is the GCF of 18 and 36
Answer: 18
Step-by-step explanation: Factor of 18 are: 1, 2, 3, 6, 9, 18
Factor of 36 are : 1, 2, 3, 4, 6, 9, 12, 18, 36
Hope that helps
Answer:
18
Step-by-step explanation:
listing the factors
factors of 18 are 1, 2, 3, 6, 9, 18
factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The common factors are 1, 2, 3, 6, 9, 18
with GCF being 18
Wrapping a Package It takes 70 inches of ribbon to make a bow and wrap the ribbon
round a box. The bow takes 32 inches of ribbon. The width of the box is 14 inches. What
the height of the box?
-14 in. -
First subtract the amount the bow takes from the total:
70 - 32 = 38 inches
The width is 14 on top and bottom so subtract 14 x 2 = 28 from 38:
38-28 = 10
Divide 10 by the 2 sides:
10/2 = 5
The height is 5 inches.
(iii) n(U) = 25, n(A) = 16 and n (B) = 2 n(AUB)=?
Answer:
n(AuB)=n(A)+n(B)=18
This is the answer
Identify the construction that the figure represents
Answer:
Not sure if this will help but that looks like a bisection of angles BAC and TSR.
If the right angle triangle LMN.
L=30°, MN = 4cm and diagonal LM.
Find the LM and LN.
Please help me anyone
Replace x with -11 and solve:
Y = (-11)^2 + 11
(-11)^2 = 121
Y = 121 + 11
Y = 132
Answer: 132
Answer:
132
Step-by-step explanation:
y = x^2 +11
Let x = -11
y = (-11)^2 +11
= 121+11
= 132
A swimming pool has 143 gallons of water in it. The swimming pool drains at a rate of 8 gallons per minute. How much water is in the swimming pool after 11 minutes?
How much water does the swimming pool have after 11 minutes? Solve on paper, then enter your answer on Zearn.
The swimming pool has
gallons of water after 11 minutes.
Answer:
55 Gallons
Step-by-step explanation:
143 - (8)(11)
143 - 88
143 - 88
55 gallons
An equilateral triangle has a perimeter of 15x3 + 33x5 feet. What is the length of each side?
x3 feet
5 + 11x2 feet
5x2 + 11 feet
5x3 + 11x5 feet
Answer:
the answer is 5×3+11×5 feet
Answer:
4th option
Step-by-step explanation:
An equilateral triangle has 3 congruent sides
Divide the perimeter by 3 for length of side
[tex]\frac{15x^3+33x^5}{3}[/tex]
= [tex]\frac{15x^3}{3}[/tex] + [tex]\frac{33x^5}{3}[/tex]
= 5x³ + 11[tex]x^{5}[/tex] ← length of 1 side
Margaret bought a video game, her father gave her 0.2 of the money, her aunt gave 0.5 of the money and she saved the rest. She saved $168 so what amt of money did her father give
Answer:
if Im correct it should be $8.40
Step-by-step explanation:
why well if you think of breaking down by say 1/4 of 168 all you do is divide 4 which is the whole amount by 0.2 which is the amount the father gave her so 4/0.2= 20 the you take your whole 168 and divide by 20 which the whole number for 0.2 the your answer should be this 168/20= 8.4 which then i assumed it was $8.40 hopefully that is correct hehe
A payday loan store charges $25 for a one-month loan of $600. What annual interest rate is this equivalent to?
Answer:
50%
Step-by-step explanation:
1. determine the monthly interest rate
monthly interest rate = interest / loan amount
monthly interest = 25 / 600 = 4.17%
2, multiply the monthly interest rate by 12 to determine the annual interest rate
Annual interest = 4.17 x 12 = 0.5 = 50%
Can someone pls help with this
here it is :)
do check properly, I have given step by step instructions:)
do give feedback on my answer, would appreciate it!
Answer:
900000
Step-by-step explanation:
[tex]30*10^{4}[/tex]
=3*10000
=30000
=30*30000
=900000
what is value of y if 2x+3y=4
Answer:
y=(4-2x)/3
Step-by-step explanation:
3y= 4-2x
y= (4-2x)/3
In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 43 and a standard deviation of 8. Using the empirical rule (as presented in the book), what is the approximate percentage of daily phone calls numbering between 19 and 67
Answer:
Step-by-step explanation:
If you drew out the bell curve and put the values where they go, this would be a no-brainer that doesn't even need math to solve. However, we will use the formula and then the table for z-scores to find this answer.
We are looking for the probability that the number of calls falls between 19 and 67. The standard deviation is 8 and the mean is 43. The probability we are looking for is P(19 < x < 67), therefore we look for the probability first that number of calls is greater than 19:
[tex]z=\frac{19-43}{8}=-3[/tex] and from the table and to the right of the z-score, the probability that the number of calls is greater than 19 is .99865 (or 99.8%). Likewise,
[tex]z=\frac{67-43}{8}=3[/tex] and from the table and to the right of the z-score, the probability that the number of calls is greater than 67 is .00315.
Take the difference of these to get the probability that the number of calls falls between these 2:
.99865 - .00135 = .9973 or 99.7%
C. Examine the hourglasses (A), (B), and (C) and
find the best answer.
6
(A)
(B)
.(C)
6
a) (B) shows the most time passed.
b) (A) shows the most time passed.
c) (C) shows the most time passed.
d) (A), (B), and (C) show the same time passed.
6
Answer:add a screenshot
Step-by-step explanation:
I can't see the our glasses
The scale on a map is 1 inch = 10 miles.
What is the distance, in inches, on the map
between two towns that are m miles apart?
F.
m/10
G. M/5
H.5m
J.10m
K.m+10
Answer:
F. m/10.
Step-by-step explanation:
10 miles = 1 inch
1 mile = 1/10 of an inch so
m miles = m/10 inches.
This is for geometry, please help ASAP
Answer:
Option C,
y² = 18x, since the graph opens right
Answered by GAUTHMATH
Which equation can be used to find the unknown length, b, in this triangle?
Answer: Choice A
4^2 + b^2 = 5^2
This is due to the pythagorean theorem.
Find the first three terms of the sequence below. 3n^2+5n−2
Answer:
-2, 6, 20 ,...
Step-by-step explanation:
3n² +5n -2
if n=0 , then 3*0² +5*0 -2= -2
if n=1, then 3*1² +5*1 -2 = 3+5-2 = 6
if nu 2, then 3*2² +5*2 -2 = 12 +10 -2 = 20
How to muilti step equation this problem
The width of a rectangle is 9
inches less than the length. The
perimeter is 86 inches
Answer:
Below.
Step-by-step explanation:
If the length is x then the width is x-9 inches.
Perimeter
= 2L + 2W = 86
2x + 2(x - 9) = 86
4x - 18 = 86
4x = 104
x = 26
So the length is 26 inches and the width is 17 inches.
Jo bought a used car for $6000 and paid a 15% deposit. How much did he still have to pay?
Answer:
900 is the correct awnser
lcm of 12x² and 48xy
Answer:
576xxxycm
Step-by-step explanation:
1cm×12x×x+48xy=576xxxycm
1.Waheeda mixes water with some lemon juice to make lemonade. Write an equation to represent how much lemon juice is needed when Waheeda uses 18 ounces of water.
2. Identify the independent and dependent variables in the situation.
Independent variable: Dependent variable: b) Write an equation representing the amount Waheeda earns in relation to the number of glasses of lemonade she sells.
Equation: c) In which Quadrant of a graph would her data appear? Explain.
1. The equation is 18 = 3 × x
2. a) The independent variable is the of ounces of lemon juice in the lemonade
b) A = a × b
c) First quadrant
The procedure to find the above answers are presented here as follows;
1. The following is the table of values of the data
[tex]\begin{array}{ccc} Lemon \ juice \ ounces \ (x)& & Water \ in \ ounces \ (y)\\2&&6\\3&&9\\4&&12\\5&&15\end{array}[/tex]
The given data in the table shows that the Lemon juice ounces, x, and the Water in ounces, y, have a direct proportionality relationship which is given as follows;
y ∝ x
∴ y = k × x
Where;
k = The constant of proportionality
k = y/x
Therefore;
k = 6/2 = 9/3 = 12/4 = 15/5 = 3
k = 3
y = k × x
∴ y = 3 × x
Therefore;
The equation to represent how much lemon juice, x, is needed when Waheeda uses y = 18 ounces of water is given by placing y = 18 in y = 3 × x as to get;
18 = 3 × x
∴ x = 18/3 = 6; 6 ounces of lemon juice is needed with 18 ounces of water
2. The independent variable is the input or causing variable that determines the output variable
Therefore, the independent variable is the number of ounces of lemon juice required to be mixed with a given number of ounce of water to make lemonade
b) Let a represent the selling price for a glass of lemonade, let b represent the number of glasses of lemonade she sells, and let A represent the amount she earns, we have;
A = a × b
c) The given x and y values in the data are both positive values, which indicate that the data would appear in the first quadrant
Learn more about dependent and independent variable here;
https://brainly.com/question/18456313
John and Pablo caught fish that have the lengths, in centimeters, listed below. 45, 44, 47, 49, 45, 47, 42, 39, 45, 42, 44 Which box-and-whisker plot correctly represents the data?
The options for the box and whisker plots aren't given ; however using technology, a box and whisker plot could be generated from the data.
Answer:
Step-by-step explanation:
Given :
45, 44, 47, 49, 45, 47, 42, 39, 45, 42, 44
Using technology, the box and whisker plot generated for the data is attached below.
The 5 - number summary is also given below :
Minimum: 39
Median: 45
First quartile: 42
Third quartile: 47
Interquartile Range: 5
Maximum: 49
Outliers: none
Answer:
Step-by-step explanation:
Find the missing side of the triangle
Answer:
missing side is √193
= 13.892443989449
