Answer:
120
Step-by-step explanation:
6 x 6 = 36
6 x 7 = 42
42/2 = 21
21 x 4 = 84
84 + 36 = 120
solve for x . Please help !
Answer:
x = 12.489996 ft
Step-by-step explanation:
In order to solve one side length of a right triangle given two of other side lengths, you can use the pythagorean theory.
The theory states that the sum of the two adjacent side squares equals the square of the hypotenuse.
Basically:
\(x^2 + y^2 = h^2\)
Since the problem gives you the hypotenuse and one adjacent side length you rearrange the formula as so:
\(x^2 = h^2 - y^2\)
\(x=\sqrt{h^2 - y^2}\)
Then plug in the values:
\(x = \sqrt{16^2 - 10^2} = \sqrt{256-100}=\sqrt{156} = 2\sqrt{39}=12.489996\)
2. A bike costs
A
$650. During,
Sale it is marked
Idown 35%. What is
the sale price of the
bike?
Answer:
$422.5
Step-by-step explanation:
Original price: $650
New sale price:
$ 650x(1-35%) = $422.5
4. 12 ___ -15 = 27
5. -18 ___ -¾ = 24
Answer:
4) 3.5
5) -1.375
Step-by-step explanation:
plug in x for the missing number and solve
Answer:
4. 12 (3.5) -15 = 27
5. -18 (445.5) -¾ = 24
Step-by-step explanation:
4. 12? -15 = 27
12? = 42
? = 3.5
5. -18? -¾ = 24
-18? = 24 + 3/4
-18? = 96/4 + 3/4
-18? = 99/4
? = 891/2 or 445.5
Thomas bought 120 whistles, 168 yo-yos and 192 tops. He packed an equal amount of items in each bag. A) What is the maximum number of bag that he can get?
Thomas can pack the items into a maximum of 20 bags, with each bag containing 24 items after calculated with greatest common divisor.
To find the maximum number of bags Thomas can pack, we need to find the greatest common divisor (GCD) of 120, 168, and 192. The GCD will represent the maximum number of items that can be packed into each bag.
To find the GCD, we can use the Euclidean algorithm. First, we find the GCD of 120 and 168:
168 = 1 * 120 + 48
120 = 2 * 48 + 24
48 = 2 * 24 + 0
Therefore, the GCD of 120 and 168 is 24.
Next, we find the GCD of 24 and 192:192 = 8 * 24 + 0
Therefore, the GCD of 120, 168, and 192 is 24.
So, Thomas can pack 24 items into each bag. To find the maximum number of bags he can get, we divide the total number of items by 24:
Total number of items = 120 + 168 + 192 = 480
Number of bags = 480 / 24 = 20
Therefore, Thomas can get a maximum of 20 bags.
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find the following percentiles for the standard normal distribution. interpolate where appropriate. (round your answers to two decimal places.)
The interpolations;
(a) 81st
= NORM.INV(0.81;0;1)
0.878
(b) 19th
=NORM.INV(0.19;0;1)
-0.878
(c) 76th
=NORM.INV(0.76;0;1)
0.706
(d) 24th
=NORM.INV(0.24;0;1)
-0.706
(e) 11th
=NORM.INV(0.11;0;1)
-1.227
Given,
Data near the mean are more likely to occur than data distant from the mean, according to the normal distribution, which is a probability distribution that is symmetric around the mean.
"A numerical measurement used in statistics of a value's relationship to the mean (average) of a set of values, assessed in terms of standard deviations from the mean," according to Wikipedia, is the Z-score.
For this case we can find the percentiles with the Norm.inv function in Excel and we got:
(a) 81st
= NORM.INV(0.81;0;1)
0.878
(b) 19th
=NORM.INV(0.19;0;1)
-0.878
(c) 76th
=NORM.INV(0.76;0;1)
0.706
(d) 24th
=NORM.INV(0.24;0;1)
-0.706
(e) 11th
=NORM.INV(0.11;0;1)
-1.227
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Ann earns $ 5000 more per year than Bill . Ann's salary = Bill's salary =
Given the right triangle shown, calculate the measure of angle x. Round to the nearest degree. A.23 degree , B.39 degree , C.67 degree , D.90 degree
Since it is a right triangle, we can apply the trigonometric function:
Sin a = opposite side / hypotenuse
Where:
a= angle = x
Opposite side = 5
Hypotenuse= 13
Replacing:
Sin x = 5/13
Solve for x
x = arc sin (5/13)
x= 22.6 = 23 ° (rounded)
Answer : A. 23°
Deon will pick up more dog food at the pet store in 2 1 ·· 2 weeks. Will the new bag of food last until then? Show your work.
To solve the problem we will calculate the amount of food consumed by Deon's dog in 2.5 weeks.
The new bag of food will last for 2.5 weeks.
ExplanationGiven to us
Deon feeds his Great Dane 62 cups of dog food per week. Deon has a new bag with 160 cups of dog food.Deon will pick up more dog food at the pet store in \(2\frac{1}{2} \) weeks.Food consumed by Deon dog in 2.5 weeksTo know the amount of food consumed by Deon dog in 2.5 weeks, we will multiply the food consumed by Deon dog in 1-week by the Number of weeks for which food is been consumed.
Food consumed by Deon dog in 2.5 weeks
= Food consumed by Deon dog in 1-week x Number of weeks
= 62 cups of dog food x 2.5
= 155 cups of dog food
Thus, the food consumed by Deon's Dog is 155 cups.
As we can see the Dog will consume 155 cups of dog food in 2.5 weeks, therefore, the new bag of food will last for 2.5 weeks.
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You need bricks to complete a project at your home. you must spend under $150 and the bricks cost two dollars each. write in an inequality to model each situation.
The inequality that models the number of bricks you need to buy under $150 budget is 2x < 150 or x < 75, where x is the number of bricks.
Inequality refers to the relationship between two non-equal expressions. It can be denoted by > for greater than, < for less than, >/= for greater than and equal to, and </= for less than and equal to.
If the bricks cost two dollars each, then the total costs will be expressed as:
2x
where x is the number of bricks
If you must spend under $150, then the total cost must be less than $150. Expressing the statement as an inequality:
2x < 150
x < 75
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Parallel to the line 3x-8=3y and passes through (2,3)
Answer:
Step-by-step explanation:
Which summation formula represents the series below?
5+ 7+ 9+ 11
Answer:
second one
Step-by-step explanation:
it is the second one , it has three expression starts with 5
when n=0 :2n+5=2(0)+5=5
n=1 : 2n+5=7
n=2: 2n+5=4+5=9
n=3: 2n+5=11
Answer: B
Step-by-step explanation:
Find 85 - 72 x 4 ÷ 2 (13 - 11)
Answer:
13
Step-by-step explanation:
using BODMAS
13-11=2
SO 2*2=4
4/4=1
1*72=72
THEREFORE it is 85-72 =13
The exponential function f, whose graph is given below, can be written as f(x)=a⋅b^x
The exponential function f, whose graph is given below, can be written as f(x)=4.7ˣ.
What is function?In mathematics, a function is a rule that maps each element (or input) of a set, called the domain, to a unique element (or output) of another set, called the range. Functions are often represented using function notation, such as f(x), where "f" is the name of the function and "x" is the input variable. The value of f(x) is the output or image of x under the function f.
Here,
If the exponential function f can be written as f(x) = a ⋅ b^x, where a and b are constants, then the graph of f will have the following characteristics:
The y-intercept of the graph will be a, which is the value of f(0).
The base of the exponential function, b, determines the rate of growth or decay of the function. If b > 1, the function grows as x increases. If 0 < b < 1, the function decays as x increases. If b = 1, the function is constant.
The graph of f will be increasing if b > 1 and decreasing if 0 < b < 1. The rate of increase or decrease will be determined by the magnitude of b.
The graph of f will never cross the x-axis, but it will approach the x-axis as x becomes very negative (if b > 1) or very positive (if 0 < b < 1).
Note that the graph of an exponential function can also be characterized by its asymptote, which is a horizontal line that the function approaches but never crosses. The asymptote is the line y = 0 if 0 < b < 1, and the line y = a if b > 1.
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A Survey A survey of 1000 households was taken to determine how they obtained news about current events. The survey considered only television, newspapers, and the Internet as sources for news. Of the households surveyed, 724 obtained news from television.545 obtained news from newspapers.280 obtained news from the Internet.412 obtained news from both television and newspapers.185 obtained news from both television and the Internet.105 obtained news from television, newspapers, and the Internet.64 obtained news from the Internet but not from television or newspapers. Of those households that were surveyed,a. how many obtained news from television but not from newspapers or the Internet?b. how many obtained news from newspapers but not from television or the Internet?c. how many obtained news from television or newspapers?d. how many did not acquire news from television, newspapers, or the Internet?
a. 195 households obtained news from television but not from newspapers or the Internet.
b. 270 households obtained news from newspapers but not from television or the Internet.
c. 934 households obtained news from television or newspapers.
d. 66 households did not acquire news from television, newspapers, or the Internet.
a. To find the number of households that obtained news from television but not from newspapers or the Internet, we need to subtract the number of households that obtained news from television and either newspapers or the Internet from the total number of households that obtained news from television.
724 (total households that obtained news from television) - 412 (households that obtained news from television and newspapers) - 185 (households that obtained news from television and the Internet) = 127 households that obtained news from television but not from newspapers or the Internet.
b. To find the number of households that obtained news from newspapers but not from television or the Internet, we need to subtract the number of households that obtained news from newspapers and either television or the Internet from the total number of households that obtained news from newspapers.
545 (total households that obtained news from newspapers) - 412 (households that obtained news from television and newspapers) = 133 households that obtained news from newspapers but not from television or the Internet.
c. To find the number of households that obtained news from television or newspapers, we need to add the number of households that obtained news from only television, only newspapers, and both television and newspapers.
724 (households that obtained news from television) + 545 (households that obtained news from newspapers) + 412 (households that obtained news from television and newspapers) = 1681 households that obtained news from television or newspapers.
d. To find the number of households that did not acquire news from television, newspapers, or the Internet, we need to subtract the number of households that obtained news from any of these sources from the total number of households surveyed.
1000 (total households surveyed) - 1681 (households that obtained news from television or newspapers) = 319 households that did not acquire news from television, newspapers, or the Internet.
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find the area of a circle with a diameter of 7mm .
Answer: 38.48451
Step-by-step explanation:
Find the n 2/9= 14/ n
Answer:
hope it helps
Step-by-step explanation:
I hope u can understand
Please answer i will mark brainliest
14. Triangle DEF and angle measurements are shown. Write and
solve an equation to find the value of h.
Answer:
\(\huge\boxed{\sf h = 24}\)
Step-by-step explanation:
Statement:Interior angles of a triangle add up to 180 degrees.So,
2h + 8 + 3h - 3 + 31 + h = 180
Combine like terms
2h + 3h + h + 8 - 3 + 31 = 180
6h + 36 = 180
Subtract 36 to both sides
6h = 180 - 36
6h = 144
Divide 6 to both sides
h = 144/6
h = 24\(\rule[225]{225}{2}\)
Camden invested $680 in an account paying an interest rate of 2 1/4% compounded daily. Jayden invested $680 in an account paying an interest rate of 2 5/8% compounded continuously. After 19 years, how much more money would Jayden have in his account than Camden, to the nearest dollar?
Answer:690
Step-by-step explanation:
690
Answer: $3,261.
Step-by-step explanation:
The answer is $3,261. Jayden would have more money in his account than Camden because his account pays a higher interest rate and is compounded continuously, which allows more frequent compounding of interest. This means that Jayden's account accumulates more interest than Camden's account over time.
melissa is buys 26 boxes of berries from a grocery store Strawberries cost $3 per box and blueberries cost $1.25 per box Of melissa spent $67.50 in total how many boxes of strawberries x and boxes of blueberries y did she buy
20 boxes of strawberries and 6 boxes of blueberries were purchased by Melissa.
We can use these two equations to solve for x and y:
x + y = 26 (equation 1)
3x + 1.25y = 67.50 (equation 2)
We can multiply equation 1 by 1.25 and subtract it from equation 2 to get rid of y:
3x + 1.25y = 67.50
-1.25x - 1.25y = -32.5
1.75x = 35
x = 20
Substituting x = 20 into equation 1, we get:
20 + y = 26
y = 6
What are equations?A mathematical definition of an equation is a claim that two expressions are equal and joined by the equals sign "=".
Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero. As we can balance this by deducting the right-side expression from both sides' expressions, this won't reduce the generality.
A condition on a variable is what an equation in algebra is. It can only be satisfied if the variable has a specific value. That means that only the value of x = 9 may satisfy the equation 2x - 5 = 13.
From the question:
Let x represent the number of boxes Melissa purchased of strawberries, and y represents the number of boxes Melissa purchased of blueberries.
We learn the following from the issueAll in sum, Melissa purchased 26 boxes of berries, thus x + y = 26.
A box of strawberries costs $3, hence the price of x boxes of strawberries is $3.
Blueberries cost $1.25 a box, thus 1.25 dollars are spent on y boxes of blueberries.
In total, Melissa spent $67.50, therefore 3x + 1.25y = 67.50.
x + y = 26 (equation 1)
3x + 1.25y = 67.50 (equation 2)
3x + 1.25y = 67.50
-1.25x - 1.25y = -32.5 (multiplying equation 1 by 1.25 and changing its sign)
1.75x = 35
x = 20
Substituting x = 20 into equation 1, we get:
20 + y = 26
y = 6
Melissa consequently purchased 6 boxes of blueberries and 20 boxes of strawberries.
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PLEASE HELP and solve
The demand for energy drink as a function of price.
Colin and Brian were playing darts. Colin scored 16. Brian scored 63 more than Colin. What was their combined score?
Answer:
79
Step-by-step explanation:
I will give you branilest!
Answer:
ran throught a cal is
Step-by-step explanation:
Slope (m) =
ΔY /ΔX =1/3 =0.33333333333333
what is the missing number ?
1 4/12 + 6/? =2
Answer:
8/12
Step-by-step explanation:
1 4/12 + 8/12 = 2
4/12 + 8/12 = 1
1 + 1 = 2
Pls urgent help needed Bcz exam tmrw
The simplification of the expression 4a + 3b - a + 3b + 6 is 3(a + 2b + 2)
The expression im terms of x for the perimeter of the triangle is 31 = (3x - 5) + (2x - 1) + (x + 1)The value of x is 6How to find the perimeter of a triangle?Simplify 4a + 3b - a + 3b + 6
collect like terms
= 4a - a + 3b + 3b + 6
= 3a + 6b + 6
factorize
= 3(a + 2b + 2)
side a = 3x - 5
side b = 2x - 1
side c = x + 1
Perimeter = 31 cm
The perimeter of a triangle = side a + side b + side c
31 = (3x - 5) + (2x - 1) + (x + 1)
31 = 3x - 5 + 2x - 1 + x + 1
31 = 6x - 5
Add 5 to both sides
31 + 5 = 6x
36 = 6x
divide both sides by 6
x = 36/6
x = 6
Therefore, the value of x from the perimeter of the triangle is 6
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Olivia opens a bank account and deposits $514. During the month, Olivia withdraws $120.00 and deposits $40. What is her new balance at the end of the month
About 3. 2 times 10 raised to the power of 8 poeple lived in the united sattes about 3. 9 times 10 raised to the power of 7 people lived in canada. And about 1. 1 times 10 raised to the power of 8 poeple in mexico. About how many people lived in all three countries all together
approximately 469 million people lived in the United States, Canada, and Mexico combined
To find the total number of people living in the United States, Canada, and Mexico, we will add the population of each country together.
1. United States: 3.2 x \(10^{8}\) people
2. Canada: 3.9 x \(10^{7}\) people
3. Mexico: 1.1 x \(10^{8}\) people
Now, let's add these populations together:
(3.2 x \(10^{8}\)) + (3.9 x \(10^{7}\)) + (1.1 x \(10^{8}\))
First, we will perform the multiplication for each term:
320,000,000 (United States)
39,000,000 (Canada)
110,000,000 (Mexico)
Now, add the populations:
320,000,000 + 39,000,000 + 110,000,000 = 469,000,000
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How can you use lines, angles, and shapes to describe, classify, or draw geometric figures? Give an example and explain how you use definitions, properties, or relationships to describe, classify, or draw them.
The two types of figures are open and closed, respectively. Figures that don't end where they begin are said to be open figures. Closed figures are those whose origin and destination are the same.
what is geometric figures ?Closed geometric shapes are made up of points, line segments, circles, and curves. All around us, we can observe these types of shapes. Circle, rectangle, triangle, and other geometric shapes are a few examples. The triangle-shaped slices of a pizza are round.
example
Straight lines have been drawn on the floor, the door, the window, and the zebra crossing by the roadside in the classrooms. Even though angles are used in building construction, they also have connections to disciplines like physics and chemistry.
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5 m
m
7 깄
0
M
K
5
Solve for the perimeter.
3 m
P=
Answer:
It might be C if im wrong sorry
Step-by-step explanation: