Step-by-step explanation:
[tex]10 + |10n + 6 | = 76 \\ \\ |10n + 6 | = 76 - 10 \\ |10n + 6 | = 66 \\ 10n + 6 = 66 \: \: \: \: \: or \: \: \: \: 10n + 6 = - 66 \\ 10n = 66 - 6 \: \: \: \: \: \: \: 10n = - 66 - 6 \\ 10n = 60 \: \: \: \: \: \: \: \: \: 10n = - 72 \\ n = 6 \: \: \: \: \: n = - 7.2[/tex]
There are 4 squares and 6 circles. What is the simplest ratio of squares to circles?
Answer:
2 : 3
Step-by-step explanation:
We have 4 squares and 6 circles. We would like the ratio of squares to circles, so we divide 4 by 6:
4 / 6 ⇒ the ratio here would be 4: 6
We need to simplify this. Notice that both 4 and 6 are divisible by 2. So, we can divide both by 2:
4/2: 6/2 ⇒ 2 : 3
2 and 3 don't share any factors other than 1, so we leave the ratio like this.
The answer is thus 2 : 3.
We can find a system of congruences where x≡a (mod 4) x≡b (mod 5) where the solution is x≡7 (mod 20).
If x ≡ 7 (mod 20), then
x ≡ 7 ≡ 27 ≡ 47 ≡ 67 ≡ 87 ≡ … (mod 20)
or equivalently, x = 7 + 20k for some integer k.
Taken mod 4, we have
x ≡ 7 + 20k ≡ 3 (mod 4)
and mod 5,
x ≡ 7 + 20k ≡ 2 (mod 5)
so that a = 3 and b = 2.
1. A survey of visitors at a national park was conducted to determine the preferred
activity of each visitor to the park. Each visitor chose one activity. The survey results
are show in the table.
A. The number of visitors who prefer water sports will be 5 more than the number of visitors who prefer biking trails.
B. The number of visitors who prefer hiking trails will be 8 more than the number of visitors who prefer hiking trails.
C. The number of visitors who prefer camping will be 15 times the number of visitors who prefer hiking trails
D. The number of visitors who prefer camping will be 2 times the number of visitors who prefer water sports.
please help!! its due NOW and giving brainlest.
Using proportions, it is found that the correct statement is:
D. The number of visitors who prefer camping will be 2 times the number of visitors who prefer water sports.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, the table is from a sample of 80 visitors.
Since the proportions stay the same, just the number of visitors change, the correct statement is given by:
D. The number of visitors who prefer camping will be 2 times the number of visitors who prefer water sports.
As from the 80 students, 28 prefer camping and 14 prefer water sports, hence from 200, these numbers will be of 70 and 35 respectively.
More can be learned about proportions at https://brainly.com/question/24372153
Answer: D. The number of visitors who prefer camping will be 2 times the number of visitors who prefer water sports
Step-by-step explanation: If you add up all the number of visitors, you'll get 80. Since we want to find the numbers for the next 200 visitors, we'll divide 200 by 80, which will get us 2.5. Then you'll multiply all the numbers by 2.5 to get:
Camping = 70
Hiking Trails = 55
Water Sports = 35
Biking Trails = 40
After that, you'll just compare the numbers to get your answer.
Find thw coordinates of A
Answer:
(√2/2,√2/2)
Step-by-step explanation:
In the unit circle, you have x and y, which are x = cos θ and y = sin θ.
So since the angle is 45 degrees, you have (cos θ, sin θ) which is (√2/2,√2/2).
Your welcome, comment if you have any questions! :D
8x − 2y = 1 with − 4x + y = 3 do these equations have one solution, no solutions, or infinite solutions.
Answer:
No Solution
Step by step explanation:
Multiply both sides of the equation by a coefficient:
[tex]\left \{ {{8x-2y=1} \atop {2(-4x+y)=3*2}} \right.[/tex]
Apply Multiplicative Distribute Law:
[tex]\left \{ {{8x-2y=1} \atop {-8x+2y=3*2}} \right.[/tex]
Calculate the Product
[tex]\left \{ {{8x-2y=1} \atop {-8x+2y=6}} \right.[/tex]
Add up the two equations:
[tex]8x-2y+(-8x+2y)=1+6[/tex]
Remove parentheses:
[tex]8x-2y-8x+2y=1+6[/tex]
Cancel the unknown variables:
[tex]0=1+6[/tex]
Calculate the Sum:
[tex]0=7[/tex]
Answer = No Solution
[RevyBreeze]
Monomials. Please help. I have a test
(m^8)^5
Answer:
[tex]m^{40}[/tex]
Step-by-step explanation:
[tex](m^8)^5=m^{8*5} =m^{40}[/tex]
Hope this helps!
In frank grade there are 55 students currently 40% of them are enrolled in health, how many are enrolled in health?
Answer: 22 people in health
Step-by-step explanation: If you use a calculator, the answer sums up to 22 people in health.
Help me with this please!!!!
the first one is C
the second one is D
the third one is B
and the last one is A
All you want to do is count up the y-intercept when it crosses and that gives you the last number (b).
whats the length of each side of an equilateral triangle if the perimeter is 33
Answer:
11
Step-by-step explanation:
A triangle has 3 sides.
Add up all the sides to get the perimeter.
So.... divide the perimeter (33) by the number of sides (3) and you get the length of each side. (11)
[tex]33/3 = 11[/tex]
We can check this by using the perimeter of a triangle formula. [tex]P = a + b +b[/tex]
[tex]P = 11+11+11[/tex]
[tex]P = 33[/tex]
Please help! 20 points thanks :)
Answer:
-5
Step-by-step explanation:
The equation for slope is:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We can plug in the given coordinates into the equation:
[tex]Slope=\frac{-2-3}{3-2}=\frac{-5}{1}=-5[/tex]
Which has a quotient greater than 3?
A. 32 divided by 15
B. 45 divided by 22
C. 48 divided by 16
D. 57 divided by 18
Answer:
Therefore D. 57 divided by 18 has a quotient greater than 3 as it has the highest remainder with quotient of 3. All others are equal or less than 3.
Explanation:
A. 32 divided by 15 - quotient: 2 remainder: 2 → 2.133
B. 45 divided by 22 - quotient: 2 remainder: 1 → 2.045
C. 48 divided by 16 - quotient: 3 → 3
D. 57 divided by 18 - quotient: 3 remainder: 3 → 3.167
What would you make the size of one of the sides of a right triagle if its other side is 12cm and the hypotenuse is 20cm?
hi how do u ask a question
Answer:
16 cm
Step-by-step explanation:
i would use the pythagorean theorem:
find the sum of the square of the legs and set that equal to the square of the hypotenuse
a² + 12² = 20²
a² + 144 = 400
subtract 144 from each side:
a² = 256
a = √256
a = 16
What are the features of the function f(x) = =-2 log2 (x - 2) graphed below?
Functions can be represented using equations and graphs
The features of [tex]f(x) = =-2\log_2 (x - 2)[/tex] are
x-intercept of 0 and no y-interceptVertical asymptote of x = 2 and no horizontal asymptoteHow to determine the features of the graphThe equation of the graph is given as:
[tex]f(x) = =-2\log_2 (x - 2)[/tex]
The above equation is a logarithmic function with the following features derived from its graph
x-intercept of 0 and no y-interceptVertical asymptote of x = 2 and no horizontal asymptoteRead more about functions at:
https://brainly.com/question/10283950
Complete the steps to evaluate the following expression, given log3a = −0. 631. Log3 a 3.
The completed steps to evaluate the given expression is [tex]a = 3^{-0.631} \approx 0.5[/tex]
What is logarithm and some of its useful properties?When you raise a number with an exponent, there comes a result.
Lets say you get
[tex]a^b = c[/tex]
Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows
[tex]b = log_a(c)[/tex]
Some properties of logarithm are:
[tex]\log_a(b) = \log_a(c) \implies b = c\\\\\log_a(b) + \log_a(c) = \log_a(b \times c)\\\\\log_a(b) - \log_a(c) = \log_a(\frac{b}{c})\\\\\log_a(b^c) = c \times \log_a(b)\\\\\log_b(b) = 1\\\\\log_a(b) + \log_b(c) = \log_a(c)[/tex]
Log with base e = 2.71828... is written as [tex]\ln(x)[/tex] simply.Log with base 10 is written as [tex]\log(x)[/tex] simply.The considered equation is [tex]\log_3(a) = -0.631[/tex]
[tex]\log_3(a) = -0.631\\\\a = 3^{-0.631} \approx 0.5[/tex] (from calculator).
Thus, the completed steps to evaluate the given expression is [tex]a = 3^{-0.631} \approx 0.5[/tex]
Learn more about logarithm here:
https://brainly.com/question/20835449
6 girls share 4 brownies equally. What fraction of the brownies does each friend get?
Answer:
2/3
Step-by-step explanation:
You have 6 friends who want to share 4 brownies equally. You simply divide the 4 brownies by 6 people:
4/6 = 2/3 (simplified)
So each friend gets 2/3 of a brownies
[RevyBreeze]
The cost of going to a drive-in movie theater is $5. 50 per person plus $2. 75 per car. Use the dropdown menu to create an algebraic equation that shows how many people can go to the drive-in with one car for $19. 25 if x equals the number of people in the car. =.
The algebraic equation which shows that the number of x people can go to the drive-in with one car for $19. 25 is,
[tex]5.50x+2.75=19.25[/tex]
How to write algebraic equation?Algebraic equation are the expression which consist the variables, coefficients of variables and constants.
The algebraic expression are used represent the general problem in the mathematical way to solve them.
Steps to write down the simple algebraic equation-
Identify all the factors of the expression.Assume a variable for the changing values.Put a coefficient for the variable, if there is any rate of change of variable.Use constant numbers for the fixed values.
The cost of going to a drive-in movie theater is $5.50 per person plus $2.75 per car. It has to create an algebraic equation that shows how many people can go to the drive-in with one car for $19. 25.
Suppose the total number of people in the car for drive-in movie theater is x. Thus, the cost of the x person to watch the movie is,
[tex]C=5.50x[/tex]
As the cost of one car is $2.75. Thus, the total cost of watching a movie by x person will be,
[tex]C=5.50x+2.75[/tex]
Now, the total cost, drive-in with one car for $19. 25. This cost must be equal to the above expression for total cost. Therefore,
[tex]C=5.50x+2.75=19.25[/tex]
Hence, the algebraic equation which shows that the number of x people can go to the drive-in with one car for $19. 25 is,
[tex]5.50x+2.75=19.25[/tex]
Learn more about the algebraic expression here;
https://brainly.com/question/2164351
. The turning point of f(x) = 2x2 - 11x +8 is
-
Answer:
[tex]\left(\dfrac{11}{4},-\dfrac{57}{8}\right)[/tex]
Step-by-step explanation:
[tex]f(x) = 2x^2 - 11x +8[/tex]
Quickest way is to differentiate the function, equate it to 0, solve for x, then substitute value of x into original function to find y:
[tex]f'(x)=4x-11[/tex]
[tex]f'(x)=0[/tex]
[tex]\implies 4x-11=0[/tex]
[tex]\implies x = \dfrac{11}{4}[/tex]
[tex]f(\frac{11}{4}) = 2(\frac{11}{4})^2 - 11(\frac{11}{4}) +8=-\dfrac{57}{8}[/tex]
Henry takes a math test that had 20 questions.
He answered 17 questions correctly and 3 questions incorrectly.
Use this information to answer the questions below.
The land that Dana is buying for her new house is 35 yards by 50 yards. How many SQUARE FEET of land is Dana buying?
Answer:
5,250 ft2
Step-by-step explanation:
First you would multiply 35 by 50 which gives you 1,750. Then you multiply it by three because there are three feet in a yard. So your answer comes to 5,250 ft2.
If f(x) = 4x² + +5 then, f(-2)
Answer:
Step-by-step explanation:
equation is given as
[tex]fx=4x^{2} +5[/tex] if [tex]fx[/tex] is [tex]f(-2)[/tex] then we knew the vale of x which is [tex]-2\\[/tex] so we will substitute it in the equation as:
[tex]f(-2) = 4(-2)^{2} +5[/tex]
solve:
[tex]-2f=4(4)+5\\-2f=16+5\\-2f=21\\\frac{-2f}{-2} =\frac{21}{-2}[/tex]
[tex]f=\frac{21}{-2}[/tex]
[tex]f=-10.5[/tex]
What percent of 650 is 2
Answer:
0.31
Step-by-step explanation:
2/650 = 0.00307... x 100 = 0.31
Ed buys a box of eggs costing £2.40, two packs of bacon for £2.60 each and two tins of baked beans.
He pays with a £10 note and gets 80p change.
How much does a tin of beans cost in pounds?
Answer:
a tin of beans costs 80p
Step-by-step explanation:
Let b = 1 tin of baked beans
80p = £0.80
Therefore, we can create an equation from the given information and solve for b:
⇒ 2.40 + 2(2.60) + 2b = 10 - 0.80
⇒ 2.40 + 5.20 + 2b = 10 - 0.80
⇒ 7.60 + 2b = 9.20
⇒ 2b = 1.60
⇒ b = 0.80
Therefore, a tin of beans costs 80p
In a population of humans, the frequency of blue eyes is 0. 9. If having blue eyes is the recessive phenotype, what is the frequency of the recessive allele? 0. 3 0. 9 0. 18 0. 36.
Evaluate the expression for the given value. 0. 5w+3x, when w=6, x=5
Answer:
18
Step-by-step explanation:
0.5(w) + 3x
0.5(6) + 3(5)
= 18
The midpoint of AB is )M(7,−5). If the coordinates of A are (6,−7), what are the coordinates of B?
Answer:
B(8, -3)
you can consult
Step-by-step explanation:
A(6, -7); B( x, y); M(7;-5)
x=7×2-6=8
y=-5×2-(-7)=-3
Answer:
(8,-3)
Step-by-step explanation:
mid point formula for graph:
[tex](\frac{x_{1}+ x_{2} }{2} ,\frac{y_{1} +y_{2} }{2} )[/tex]
[tex](\frac{6+x}{2} ,\frac{-7\\+y}{2} )[/tex]
[tex]\frac{6+x}{2} =7[/tex]
[tex]x[/tex] is the x cordinate of B which will be
8
TO FIND Y:
[tex]\frac{-7\\+y}{2} =-5[/tex]
[tex]y=-3\\[/tex]
If triangle ABC was reflected over the y-axis, what would be the coordinates of B’?
grid with a triangle
(4, 3)
(-3, -4)
(-4, -3)
(3, 4)
These are my friends and my little sister with em', she's 11.
Answer:
7, -7 , 14 I'm not sure may true or false
Which graph shows a function and its inverse?
very simple it's b. tell me if you need help with anything els
what is 5+5x62 divided by 2
Answer:
the answer is 310
Step-by-step explanation: 5+5 = 10 and 10 x62= 620
620 divided by 2 = 310
Answer:
160
Step-by-step explanation:
5+5x62 divided by 2
5+(5x62) divided by 2
5+310 divided by 2
5+ 155=
160
Kathryn is selling bracelets at the school store. Each bracelet is 9.75 inches long. She wants to display the bracelets in one long line. About how long, in inches, would the total length of the bracelets be if she lined up 9 bracelets end-to-end?
Answer:
87.75
Step-by-step explanation:
9*9.75 = 87.75
I hope that helped :)
What is the median of the set of numbers 2, 8, 33, 2, and 20?.
Answer:
8
Step-by-step explanation:
add all together then dived by the number of numbers
