Answer:
X = 8.5, Y = 6.5
Step-by-step explanation:
X = # of children's books
Y = # of puzzle books
Amelie wants to buy 2 more children's books than puzzle books.
15 - 2 = 13 (Save the 2)
13 / 2 = 6.5
6.5 + 2 = 8.5
So; 8.5 + 6.5 = 15
X = 8.5
Y = 6.5
Use Pythagorean Theorem to find the length of the missing side of this right triangle to the nearest tenth.
Answer:
10.3
Step-by-step explanation:
Pythagorean Theorem:
[tex]a^{2} + b^{2} = c^{2} \\[/tex]
a and b being the sides and c being the hypotenuse.
[tex]3.9^{2} + b^{2} = 11^{2}[/tex]
15.21 + [tex]b^{2}[/tex] = 121
[tex]b^{2}[/tex] = 121 - 15.21
[tex]b^{2}[/tex] = 105.79
b = [tex]\sqrt{105.79}[/tex]
b = 10.3
Hope that helped!!! k
Three Bells toll at regular interval of 15 minutes 16 minutes and 36 minutes respectively given that they toll together at at 2 o'clock p.M. At what time will they next toll together
Answer:
They will next toll together at 2 o'clock A.M.
Step-by-step explanation:
Given
Three Bells toll at regular interval of 15 minutes 16 minutes and 36 minutes respectively
They will ring together after time which will be LCM of 15, 16 and 36 minutes.
lets find LCM of 15,16,36
15 = 3*5
16 = 2*2*2*2 = 2^4
36 = 2*2*3*3 = 2^2 * 3^2
LCM is found by taking the highest power of each prime factor
highest powered value of prime factors 2,3 and 5 is
5 is 5
2 is 2^4
3 is 3^2
thus, LCM = 2^4*3^2*5 = 16*9*5 = 720
Thus, they will ring together after 720 minutes
now
60 minutes = 1 hour
1 minutes = 1/60 hour
720 minutes = 720/60 hour = 12 hour.
Given that they rang together at 2 o'clock p.M
they will ring together after 12 hours at 2 PM
2 PM + 12 hours = 2 AM
Thus,
They will next toll together at 2 o'clock A.M.
4a^2-20a+24+6y-9y^2
Answer:
4a^2-20a+24+6y-9y^2
Step-by-step explanation:
The expression 4a^2-20a+24+6y-9y^2 can't be simplified further since the terms in this expression are unlike terms
Hope this helps ;) ❤❤❤
• Kiana goes to the library. She borrows 5 books about planets
and 2 books about dinosaurs. How many books does Kiana
borrow in all?
• What is the unknown in this problem?
number of books about planets
number of books about dinosaurs
number of books in all
Answer:
1. The total is the unknown which is 7
5 books about planet
2 books about dinosaurs
7 number of books in all
Number of books about planets is 5, Number of books about dinosaurs is 2, and Number of books in all is 7.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Kiana goes to the library.
The number of books Kiana borrow about planets is 5 books.
The number of books Kiana borrow about dinosaurs is 2 books.
we need to find the number of books bought in all.
We need to add the books.
5 books + 2 books
7 books.
Number of books about planets is 5.
Number of books about dinosaurs is 2.
Number of books in all is 7.
Hence, Number of books about planets is 5, Number of books about dinosaurs is 2, and Number of books in all is 7.
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A 12-pack of Cokes costs $5.40. How much does each Coke cost?
Answer:
$0.45
Step-by-step explanation:
$5.40/12 = $0.45
If A 12-pack of Cokes costs $5.40 then each Coke costs $0.45.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b.
Given that,
Cost of 12- pack of Cokes = $5.40.
To find the cost of one Coke cost,
Use ratio property,
12 packs of cakes = $5.40
1 pack of cakes = 5.40/12
1 pack of cake = 0.45
The price of one pack of cake is $0.45
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a botanist is monitoring the growth of a young tree and notices it is growing linearly. In fact, she realizes it is growing 3 inches every week. Unfournately , she forgot to begin recording until well into the growing process. what she does know is that it is currently week 17 and the tree is currently 4 feet and 8 inches tall. use the info. to model the situation with an equation in point slope form sliplify the equation to slope intercept form how tall was the seedling of the tree when the botanist received it? how tall with the tree be on week 30?
Answer:
1) The equation in point and slope form is y - 56 = 3·(x - 17)
2) The above equation in slope and intercept form is y = 3·x + 5
3) The height of the sidling when the botanist received it = 5 inches
4) The height of the tree on week 30 = 7 feet 11 inches
Step-by-step explanation:
The given parameters for the equation are;
The rate of growth of the young tree = 3 inches/week
The current height of the tree = 4 feet 8 inches = 56 inches
The current time since start of growth (time duration of growth) = 17 weeks
With the given information, we have;
The height of the tree, y = The dependent or y-variable
The time for the growth, x = The independent or x-variable
The slope = the rate of growth = 3 inches/week
At week, x = 17, y = 56 inches
1) The information presented in point and slope form is given as follows;
y - 56 = 3·(x - 17)
2) Simplifying the above equation to slope and intercept form, y = mx + c
Where;
m = The slope
c = The y-intercept
We have;
y = 3·x - 51 + 56 = 3·x + 5
y = 3·x + 5
Therefore the y-intercept = 5
3) The y-intercept = 5 which gives the value of the height of the tree at time x = 0 as follows;
At x = 0 when the tree was first received, the height of the tree, y = 3·x + 5 = 5 inches
4) On week 30, the height, y of the tree will be, y = 3 × 30 + 5 = 95 inches = 7 feet 11 inches.
Solve the following system of equations by the addition method.
-3x + 4y = -2
6x - y = 11
What is the value of the x-coordinate?
11/2
-2
2
0
Answer:
x=2
Step-by-step explanation:
Find the approximate side length of a square game board with an area of 179in ^2.
Area of a square game board = 179 inches ²
To be calculated:-Calculate the side of given square game board.
Formula applied:-Area of square = ( Side )²
Solution:-We know that,
Area of square = ( Side )²
★ Substituting the value in the above formula, we get :
=> 179 = ( Side )²
=> Side = √179
=> Side = 13.37 inches ( approx )
Answer:
13.38 in
Step-by-step explanation:
The area of a square can be found using the following formula.
[tex]a=s^2[/tex]
where a is the area and s is the side length.
We know that the area of the square is 179 in^2. We can substitute that value in for a.
[tex]179 in^2=s^2[/tex]
We want to find the side length. Therefore, we have to isolate the variable, s.
s is being squared. The inverse of a square is the square root. Take the square root of both sides of the equation.
[tex]\sqrt{179 in^2}=\sqrt{s^2}[/tex]
[tex]\sqrt{179 in^2}=s[/tex]
[tex]13.3790882 in =s[/tex]
We want to find the approximate side length. Round to the nearest hundredth. The 9 in the thousandth place tells us to round the 7 to a 8,
[tex]13.38 in= s[/tex]
The side length of the board game is about 13.38 inches.
The F-ratio increases as _________. the variability between means increases relative to the variability within groups the variability between means decreases relative to the variability within groups the total variability increases the total variability decreases
Answer: variability between means increases relative to the variability within groups
Step-by-step explanation:
The formula to calculate F-ratio : variance between groups divided by variance within groups
Here, F-ratio [tex]\propto[/tex] is proportional to variance between groups but inversely proportional to variance within groups .
So, F-ratio increases when variability between means increases relative to the variability within groups.
The Turners want to carpet the cement around their rectangular pool. The dimensions for the rectangular area formed by the pool and its cement walkways are 20 ft by 30 ft. The pool is 12 ft by 24 ft. Carpet is sold only by the square foot. If the carpet costs $1.95 per square foot, what will be the total cost of the carpet?
Answer:
$1,170
Step-by-step explanation:
Area around the pool = 20 x 30
Pool = 12 x 24
Carpet is sold $1.95 by square foot
Use formula A = bh
Plug it in: A = 20 x 30
So they need 600 sq ft of carpet.
Multiply 600 by 1.95 to get 1170
The total cost = $1,170
Answer:
$608.40
Step-by-step explanation:
Dimensions of pool: 12 ft by 24 ft
Dimensions of pool & cement walkways: 20 ft by 30 ft
The pool is a rectangle that sits inside the walkways. The area of the walkways (AW) is the area of the pool & walkways (the 20 ft by 30 ft rectangle) minus the area of the the pool (the 12 ft by 24 ft rectangle). Once we know the area of the just the walkways (AW), we multiply it by the price of the carpet too find the cost of the carpet.
area of walkways = area of pool & walkways - area of pool
AW = 20 ft * 30 ft - 12 ft * 24 ft
AW = 600 ft^2 - 288 ft^2
AW = 312 ft^2
The area of the walkways alone is 312 ft^2. Now we multiply it by the unit cost of carpet to find the cost of the carpet needed for the walkways.
cost = AW * unit rate
cost = 312 ft^2 * $1.95/ft^2
cost = $608.40
Let ABCD be a parallelogram such that AB = 10,BC = 14, and \angle A = 45. Find the area of the parallelogram. please write your answer as a root. NOT a decimal.
Answer:
[tex]70\sqrt{2}[/tex]
Step-by-step explanation:
Since angle A is 45, the height of the base BC is 10/[tex]\sqrt{2}[/tex] by 1-1-sqrt(2) triangles.
Then we can apply parallelogram area formula.
=====================================================
Explanation:
One formula you can use is
A = b*c*sin(theta)
where angle theta is between sides b and c
Note how angle A is between sides AB = 10 and AD = BC = 14.
------------
Using that formula gives
A = b*c*sin(theta)
A = 10*14*sin(45)
A = 140*sin(45)
A = 140*sqrt(2)/2 ... use unit circle
A = (140/2)*sqrt(2)
A = 70*sqrt(2)
what is 7 x 4 pleez i nid help
Answer:
28
Step-by-step explanation:
if you do 7 + 7 + 7 + 7 that equals 28.
In the problem 12 - 16, what number is negative? *
Answer:
[tex]-16[/tex]
Step-by-step explanation:
[tex]12-16[/tex]
We can first look at the number that is higher.
[tex]16[/tex]
16 is negative because it is the number that is higher and is being subtracted from 12.
So your answer is
[tex]-16[/tex]
Set G is the set of positive integers divisible by 4 and Set F is the set of perfect
squares. List the first 5 elements of set H, which contains numbers in G that are
also elements of F.
Greetings from Brasil...
G = {4; 8; 12; 16; 20; 24; 28; 32; 36; 40; 44; 48; 52; 56; 60; 64; 68; 72; 76; 80; 84; 88; 92; 96; 100; 104; ...}
F = {1; 4; 9; 16; 25; 36; 49; 64; 81; 100; ...}
So, according to the statement, it is desired:
G ∩ F - the intersection between the 2 sets, that is, which numbers are present simultaneously in the 2 sets....
Looking at the sets we conclude that
G ∩ F = {4; 16; 36; 64; 100}OBS: note that in truth G are the multiples of 4
Simplify the radical expression.
Answer:
9√3
Step-by-step explanation:
√(81*3)
√81*√3
9√3
Jesip bought 3 boxes of cereal for $2.49 each, 1.5
pounds of meat for $4.56, 5 apples for $0.67 each,
and 5 yogurts for $6. How much did he spend at the
store?
Answer:
45.57
Step-by-step explanation:
3 x 2.49 =7.47
4.65
5 x 0.67 = 3.35
5 x 6 = 30
7.47+ 4.65 + 3.35 + 30 = 45.47
Use the position equation given below, where s represents the height of the object (in feet), v0 represents the initial velocity of the object (in feet per second), s0 represents the initial height of the object (in feet), and t represents the time (in seconds), as the model for the problem. s = −16t2 + v0t + s0 An aircraft flying at 900 feet over level terrain drops a supply package.
(a) How long does it take until the supply package to strike the ground? (Round your answer to three decimal places.) t = sec
(b) The aircraft is flying at 158 miles per hour. How far does the supply package travel horizontally during its descent? (Round your answer to one decimal place.) ft
Answer:
(a) 7.5 seconds
(b) The horizontal distance the package travel during its descent is 1737.8 ft
Step-by-step explanation:
(a) The given function for the height of the object is s = -16·t² + v₀·t + s₀
The initial height of the object s₀ = 900 feet
The initial vertical velocity of the object v₀[tex]_y[/tex] = 0 m/s
The time it takes the package to strike the ground is found as follows;
0 = -16·t² + 0×t + 900
900 = 16·t²
t² = 900/16 = 62.25
t = √62.25 = 7.5 seconds
(b) Given that the horizontal velocity of the package is given as 158 miles/hour, we have
158 miles/hour = 231.7126 ft/s
The horizontal distance the package covers in the 7.5 second of vertical flight = 231.7126 ft/s × 7.5 s = 1737.8445 feet = 1737.8 ft to one decimal place
The horizontal distance the package travel during its descent = 1737.8 ft.
PLEASE ANSWER QUICK Part A: If (62)x = 1, what is the value of x? Explain your answer. (5 points) Part B: If (60)x = 1, what are the possible values of x? Explain your answer. (5 points)
Answer:
The first one is 0, the second one is ARN (All real numbers)
Step-by-step explanation:
1. Anything raised to the "zeroth" power is always 1
2. Because 7 is being raised to the zeroth power, the number inside the parentheses becomes 1. Now x can equal anything, 1 times itself will always equal 1, no matter how many times you multiply them.
Equations can have one, zero or infinitely many solutions.
a: The value of x is 0b: x has infinitely many solutions[tex](a)\ (6^2)^x = 1[/tex]
Express 1 as [tex]6^0[/tex]
[tex](6^2)^x = 6^0[/tex]
Express 0 as 2 x 0
[tex](6^2)^x = 6^{2 \times 0}[/tex]
Open the bracket
[tex]6^{2 \times x} = 6^{2 \times 0}[/tex]
Cancel out 6 on both sides
[tex]2 \times x =2 \times 0[/tex]
Divide both sides by 2
[tex]x =0[/tex]
Hence, the value of x is 0
[tex](b)\ (6^0)^x = 1[/tex]
Express [tex]6^0[/tex] as 1
[tex]1^x = 1[/tex]
Express [tex]1^x[/tex] as 1
[tex]1 = 1[/tex]
Both sides of the equation are the same
This means that:
x has infinitely many solutions
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When positive integer A, which has n digits, is multiplied by (n+2) , the product is a number with (n+1) digits, all of whose digits are (n+1) . How many instances of A exist?
Answer:
A = 95238 (only)
Step-by-step explanation:
The question is equivalent to asking what n-digit number consisting only of the digit n will be divisible by n+1. Of the numbers 1, 22, 333, 4444, ... 999999999, the only one is 666666, which is divisible by 7.
The 5-digit integer A is 666666/7 = 95,238. There is only one instance of A.
Mike bought an MP3 player for $150. The sales-tax rate was 8 percent. How much sales tax did he pay on the MP3 player?
Answer:
12%
Step-by-step explanation:
Cost Price of the MP3 player =$150
Sales Tax = 8 %
Total sales tax= Tax * Cost Price
= [tex]\frac{8}{100} * 150[/tex]
=12%
He payed a total of 12% sales tax
L and M are complementary, L = 2x + 25, and M = 4x + 11. Determine the measure of each angle.
L =
M=
HELP
Answer:
[tex]L = 43[/tex] and [tex]M = 47[/tex]
Step-by-step explanation:
Given
[tex]L = 2x + 25[/tex]
[tex]M = 4x + 11[/tex]
Required
Determine the values of L and M
Since L and M are complementary, we have that
[tex]L + M = 90[/tex]
Substitute values for L and M
[tex]2x + 25 + 4x + 11 = 90[/tex]
Collect Like Terms
[tex]2x + 4x = 90 - 11 - 25[/tex]
[tex]6x = 54[/tex]
Divide both sides by 6
[tex]x = \frac{54}{6}[/tex]
[tex]x = 9[/tex]
Substitute 9 for x in the expressions of L and M
[tex]L = 2x + 25[/tex]
[tex]L = 2 * 9 + 25[/tex]
[tex]L = 18 + 25[/tex]
[tex]L = 43[/tex]
[tex]M = 4x + 11[/tex]
[tex]M = 4 * 9 + 11[/tex]
[tex]M = 36 + 11[/tex]
[tex]M = 47[/tex]
Suppose the following facts to be true: $\bullet$ The probability of a random kindergartener having chicken pox at any given time is $2\%$. $\bullet$ Among kindergarteners who have chicken pox, $75\%$ have red spots. $\bullet$ Among kindergarteners who do not have chicken pox, $1\%$ have red spots. Given that Sanjay, a kindergartener, has red spots, what is the probability that Sanjay has chicken pox? Enter your answer as a fraction in simplified form.
Question
Suppose the following facts to be true: The probability of a random kindergartener having chicken pox at any given time is 2%. Among kindergarteners who have chicken pox, 75% have red spots. Among kindergarteners who do not have chicken pox, 1% have red spots. Given that Sanjay, a kindergartener, has red spots, what is the probability that Sanjay has chicken pox? Enter your answer as a fraction in simplified form.
Answer:
75/124
Step-by-step explanation:
This is a question based on conditional Probability
We would solve this using Bayes's Theorem of Conditional Probability
From the above question, we have the following information:
The probability of a random kindergartener having chicken pox at any given time is 2%.
Hence, the probability that a kindergartner would not have chicken pox
= 100% - 2%
= 98%
Kindergarteners who have chicken pox, 75% have red spots.
Kindergarteners who do not have chicken pox, 1% have red spots.
The Sanjay, a kindergartener, has red spots, the probability that Sanjay has chicken pox is calculated as:
= (Probability of a random kindergartener having chicken pox at any given time ⋂ Probability of kindergarteners who have chicken pox, and have red spots)/ [(Probability of a random kindergartener having chicken pox at any given time ⋂ Probability of kindergarteners who have chicken pox, and have red spots) + (Probability Kindergarteners who do not have chicken pox and have red spots ⋂ Probability that a kindergartner would not have chicken pox)
= (2% × 75%)/[(2% × 75%) +( 1% × 98%)]
= 150/150 + 98
= 150/248
= 75/124
Janet made 75 more cookies to sell at the
bake sale than Kathy. If Janet and Kathy
made 325 cookies altogether, how many
cookies did Janet make?
Answer:
200
Step-by-step explanation:
Janet = x + 75
Kathy = x
2x + 75 = 325
2x = 325 - 75
2x = 250
x/Kathy = 125
x + 75/Janet = 125 + 75
= 200
need done asap
what property justifies the statement below if a =2z and 2z=b then a = b
1. reflexive property
2. transitive property
3. substitution property
4. symmetric property
Answer:
transitive property
Step-by-step explanation:
According to transitive property, if there is some relation between a and b by some rule , and then there same relation between b and c by some rule, then
A and C are related to each other by some rule.
Example:
A = B
B=C
then by transitive property
A=C
As value of A and C are same that is B we can say that A is equal to C whose value is B.
_______________________________________________
Given
a =2z and 2z=b
here both c and b has value equal to Z , Thus, they follow transitive property.
Tap on the photo pls help
Answer:
49
Step-by-step explanation:
5^2 - 4(-3)(2)
5^2 - 4(-6)
25 - 4(-6)
25 - (-24)
49
Hope this helps!
49
25+24
you square 5 which is 25 than multiply -3 and 2 which is -6 than multiply by four
An expression is shown.
(2x-3) + [4x(3x+2)]
Which expression is equivalent to the given Expression?
A. 9x-1
B. 14x+5
C. 12x^2 + 2x-1
D. 12x^2 + 10x-3
Answer:
D
Step-by-step explanation:
(2x - 3) + [ 4x(3x + 2)]
2x - 3 + [ (4x*3x) + (4x*2) ]
2x - 3 + [ 12x² + 8x ]
2x - 3 + 12x² + 8x
12x² + 10x - 3
fifteen hours is what part of the day. Write the answer as a fraction in simpliest form
Answer:
[tex]\frac{5}{8}[/tex]
Step-by-step explanation:
There are 24 hours in 1 day, thus 15 hours is
[tex]\frac{15}{24}[/tex] = [tex]\frac{5}{8}[/tex] of a day in simplest form
Evaluate 3|-4| -12 12 4
Answer: 12
Step-by-step explanation: In this problem,
we first determine the absolute value of -4.
The absolute value of -4 is 4 so we have 3(4) which is 12.
(8x-5y)(3x+7y) Polynoimal Equation Distribution
Step-by-step explanation:
i guess that is the correct answer
I don't understand by when it's saying the cost of the amount of lemonade cups and advertising