Answer:
If Cora runs 1/2 mile per week and x is the number of weeks, then she will run 5+1/2x. Then determine how many weeks are in two and a half months (depends on which month it is as there are less weeks in February than in January!) but we could estimate 6.
For Hana, you will have 3+ 3/4 x
Step-by-step explanation:
First equation is y=5+1/2 x and then plug 6 in for x to solve for y. the second equation is y=3+3/4x and plug in 6.
The system of equations to describe this scenario are
y = 3 + 7xy = 9 + 4xThe variable x means the number of weeks they ran and the y variable means the total distance they covered in miles .
The situation can be modelled like a linear equation.
Therefore,
y = mx + b
where
m = slope
b = y-intercept
Cora race will be as follows:
y = 3 + 7xHana race will be as follows:
y = 9 + 4xThe variable x which is the independent variable is the number of weeks each of them ran in the equation.
The variable y which is the dependent variable is the total distance covered in miles.
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Which equation represents a linear function
Answer:y=-3x+10
Step-by-step explanation:
It will take you 10 hours to paint your garage and it will take your brother 15 hours to paint your
garage. How long will it take to paint the garage if the two of you paint together?
they take 6 hours to paint the garage if the two of you paint together.
It will take you 10 hours to paint your garage
it will take your brother 15 hours to paint your garage.
How long will it take to paint the garage if the two of you paint together
Total work = LCM of 10 and 15 = 30 units
now , it will take 10 hours to paint the garage
therefore it one hour efficiency = 30/10 =3 units
similarly your brother take 15 hours to apint the garage
therefore brother one hour efficiency = 30/15 = 2 units
so total one hour efficiency is 5 units
and total work is 30 units and their one hour efficiency is 5 units
therefore they complete the work in 30 /5 = 6 hour
Hence they take 6 hours to paint the garage if the two of you paint together.
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Anil Kumar took a loan of Rs. 20,000 from bank at the rate of 8% per annum. At the end of 2 years, how much compound amount should he pay if the interest was compounding half-yearly?
Anil Kumar should pay a compound amount of Rs. 23,397.12 at the end of 2 years.
Compound interest is a method of calculating interest where the interest earned is added to the principal amount, and the resulting sum becomes the new principal for the next period's interest calculation. This process is repeated until the end of the investment period.
The formula to calculate the compound interest is:
[tex]A = P(1 + r/n)^(^n^t^)[/tex]
Where,
A = Amount after the given time
P = Principal amount (initial investment)
r = Annual interest rate (as a decimal)
n = Number of times the interest is compounded per year
t = Time duration for which the interest is calculated (in years)
In this case, Anil Kumar took a loan of Rs. 20,000 from a bank at the rate of 8% per annum, compounded half-yearly, for 2 years. Therefore, we can plug in the values as follows:
P = Rs. 20,000
r = 8% per annum = 0.08 (as a decimal)
n = 2 (since the interest is compounded half-yearly)
t = 2 years
Now, we can calculate the compound amount using the above formula:
[tex]A = P(1 + r/n)^(^n^t^)[/tex]
[tex]A = 20,000(1 + 0.08/2)^(^4^)[/tex]
[tex]A = 20,000(1 + 0.04)^4[/tex]
[tex]A = 20,000(1.04)^4[/tex]
[tex]A = 23397.1712[/tex]
Therefore, Anil Kumar should pay a compound amount of Rs. 23,397.123 at the end of 2 years.
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PLEASE HELP ME I REALLY NEED IT
Answer: 120.
Step-by-step explanation: the angles of a triangle add up to 180 degrees. angles c and d are given and their values add up to 120 degrees. so E must be 180-120, which equals 60 degrees. We also know that a straight line is 180 degrees and since one side is 60 degrees, the other one must add up with 60 to give 180, which is 120.
what is the rate of chnage
Ed Gregory is surveying technician earning $12. 97 per hour he worked 39 hours last week what was his pay for the week
Answer:
$505.83
Step-by-step explanation:
12.97 × 39 = 505.83
Help me find the X! UwU..
Well all the angles in a triangle add up too 180º and this triangle is obviously a equilateral triangle (all sides are same) BUT as you see the other people saying X = 60º notice that it says 2 xº meaning that it is X x 2 so 60º is actually wrong :).
If it is X is 60º (since the 3 angles add together since it’s equilateral) then that would be 2 x 60º = 120º times 3 WHICH IS NOT 180.I think U get what I mean now,it’s 2 Xº; so X is 30 because 30 x 2 = 60º and 60 x 3 = 180º!
So Da Answer is X = 30º
Hope this helped :)
Have a great day!
CAN SOMEONE ASAP HELP ME PLEASE
Answer:
Step-by-step explanation:
6+11=17/2*8=136/2
68.
whats the answer giving brainliest:)(::::::::::::::::::::::::::::::::::;;;
Answer:
it is definately b
Step-by-step explanation:
i got u 100
Answer:
B. Yes, She did the problem correctly
Step-by-step explanation:
What’s the value of k ?
Hello!
[tex]\large\boxed{k = 10^{o}}[/tex]
When given two interior angles and an exterior angle, the sum of the two interior angles is equal to the sum of the exterior angle. Therefore:
m∠YZX + m∠ZXY ≅ m∠MYZ
(4k + 5)° + (6k + 10)° = 115°
Combine like terms:
10k + 15 = 115°
Subtract 15 from both sides:
10k = 100°
Divide both sides by 10:
k = 10°
Answer:
k=10
Step-by-step explanation:
First you would find the missing angle at the top this would be 65 degrees, this means that the 2 other missing angles must total to 115 degrees.
Second you would set the equations equal to 115
4k+5+6k+10=115
Then you would combine the like terms
10k+15=115
next you would subtract the 15 from both sides
10k=100
then you divide by 10
k=10
You have $50 in your bank account. Each week you plan to deposit $6 from your allowance and $20 from your paycheck. The equation b = 60 + (20+6)w gives the amount b in your account after w weeks. How many weeks from now will you have $215 in your bank account?
6 weeks from now, you will have $215 in your bank account
How many weeks from now will you have $215 in your bank account?The given parameters are:
b = 60 + (20+6)w
When the account balance is $215, we have
60 + (20+6)w = 215
Subtract 60 from both sides
(20+6)w = 155
This gives
26w = 155
Divide both sides by 26
w = 5.96
Approximate
w = 6
Hence, 6 weeks from now, you will have $215 in your bank account
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3) Round answer to the nearest hundredth. *
14 points
A right triangle has one leg with a length of 18 mm and a hypotenuse with a length of 82 mm.
What is the length of the other leg?
Your answer
Answer:
80 mm
Step-by-step explanation:
Pythagorean theorm can be applied here to solve for the length of the last leg, [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex], where (a) and (b) are the legs of the triangle and (c) is the hypotenuse. We can rearrange the pythagorean theorm for our purposes like the following:
b = √c^2 - √a^2
= √(82)^2 - √(18)^2
= √6724 - √324
= √6400
= 80 mm
Graph a right triangle with the two points forming the hypotenuse.
Using the sides, find the distance between the two points in simplest
radical form. (8,7) and (6,3)
the distance between the points (8, 7) and (6, 3) which is the hypotenuse of the triangle is 2 √ 5 units.
We need to find the distance between two points which is the hypotenuse of the triangle:
(8, 7) and (6, 3)
It can be calculated using distance formula:
D = √ (x₂ - x₁)² + (y₂ - y₁)²
Substituting the values in the formula, we get that:
D = √ (6 - 8)² + (3 - 7)²
D = √ ( - 2 )² + ( - 4 )²
D = √ 4 + 16
D = √ 20
D = 2 √ 5 units
Therefore, we get that, the distance between the points (8, 7) and (6, 3) which is the hypotenuse of the triangle is 2 √ 5 units.
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In a recent survey, 65 % of those responding were in favor of recycling. If 780 people were in favor of recycling, then how many responded to the survey?
people who responded to survey are 120
Given m||n, find the value of x.
+
x
m
60°
Answer:
X = 60° (corresponding angles are equal )
I need help to solve this problem 10 points I will give
Answer:
Are we supposed to solve for x?
Step-by-step explanation:
If that is what you need then I will be able to answer it
-10.2m + -9.1 + -9.1m - 5.8m
Answer:
= −25.1m − 9.1
Step-by-step explanation:
Answer:
-25.1m - 9.1
Step-by-step explanation:
pals helpppp
If ∠A and ∠B are supplementary angles, m∠A = (11x 26−) , a°nd m∠B = (− 4x+ 87)° then what is the value of x?
x = __________
Answer:
x =17
Step-by-step explanation:
(11x -26) + (− 4x+ 87) =180
7x + 61 =180
7x = 119
x =17
brainliest to whoever gets this correct!
Answer:
y - 4 = -8/7(x - 4)
Step-by-step explanation:
Point-Slope form: y - y₁ = m(x - x₁)
x₁ and y₁ would be the coordinates of the point (4,4).
m would be the slope -8/7.
Substituting these values:
y - 4 = -8/7(x - 4)
Answer:
B
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - [tex]\frac{8}{7}[/tex] and (a, b) = (4, 4) , then
y - 4 = - [tex]\frac{8}{7}[/tex] (x - 4) → B
Can someone please help me and explain if you can
Answer:
∠6=116°
Step-by-step explanation:
Buckle up :)
We are given the values of ∠4 [tex](-2x+94)[/tex] and ∠8 [tex](-5x+139)[/tex].Vertical angles are congruent. Angle 4 and angle 1 are vertical angles, so angle 1 is also [tex]-2x+94[/tex].∠1 and ∠8 are alternate exterior angles. The transversal is the line that crosses over the parallel lines. When two angles are on opposite sides of the transversal, they are alternate angles. When the two angles are on the outside of the parallel lines, they are exterior angles. This makes them alternate-exterior angles.Alternate exterior angles are congruent. This means that ∠1≅∠8. Write an equation in order to solve for x:[tex]-2x+94=-5x+139[/tex]
Solve for x. Subtract 94 from both sides:
[tex]-2x+94-94=-5x+139-94\\\\-2x=-5x+45[/tex]
Add 5x to both sides:
[tex]-2x+5x=-5x+5x+45\\\\3x=45[/tex]
Divide both sides by 3:
[tex]\frac{3x}{3} =\frac{45}{3} \\\\x=15[/tex]
Insert the value of x into angle 4 because they are same-side interior angles. This is because they are on the same side of the transversal and within the parallel lines. Same-side interior angles are supplementary, so their value will add up to 180°. Therefore, in order to find angle 6, we need to first find the true value of angle 4:
[tex]x=15\\\\-2(15)+94\\\\-30+94\\\\64[/tex]
∠4 is 64°. Use ∠a+∠b=180 to find angle 6:
[tex]a+64=180[/tex]
a represents angle 6. Subtract 64 from both sides:
[tex]a+64-64=180-64\\\\a=116[/tex]
Angle 6 has a measure of 116°.
:Done
Please help if possible due today!❤️❤️ 18 points
The frequency table shows the number of points scored during 30 Bulldogs
basketball games. On a piece of paper, draw a histogram to represent the
data. Then determine which answer choice matches the histogram you drew.
Answer:
A
Step-by-step explanation:
All of the values are represented correctly on the histogram. It represents both the points and the frequencies in the correct way.
Answer:
It's A.
Step-by-step explanation:
it matches with the frequency table
What is the best solution to the equation 14x+15=7x44
A) infinite real solutions
B) exactly one real solution, x=4 1/2
C) exactly one real solution, x=29
D) no real solutions
Answer:
D
Step-by-step explanation:
B and C aren't correct
I need help with this math
Answer:
2/4 x 7/10 = 14/40, or 7/20.
5/6 x 3/4 = 15/24, or 5/8
3/4 x 2/3 = 6/12, or 1/2
3/10 x 4/5 = 12/50, or 6/25
i think you can finish the rest, all you have to do is multiply the numerator and the numerator, and the denominator and the denominator.
numerator = number on the top
denominator = number on the bottom
then put the two results:
[numerator x numerator]
____________________
[denominator x denominator]
hope this helped! ^^
Answer:
u can do this u got this
Step-by-step
if the rise is 16 and the run is 8, what is the slope
Answer:
2
Step-by-step explanation:
The formula for slope is rise/run, thereforre 16 divided by 8 is 2, which is the slope.
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#brainliestplease
Answer:
The slope is going to be 2 you just divide.
Step-by-step explanation:
can someone help pls
Answer:
5√7
Step-by-step explanation:
√7 + 6√7 - 2√7 = 5√7
find value for x please and thank you
Answer:
x = - 3
Step-by-step explanation:
Given
3(x - 6) + 6 = 5x - 6 ← distribute and simplify left side
3x - 18 + 6 = 5x - 6
3x - 12 = 5x - 6 ( subtract 5x from both sides )
- 2x - 12 = - 6 ( add 12 to both sides )
- 2x = 6 ( divide both sides by - 2 )
x = - 3
Tracy packages snack mix at a grocery store. She uses 1/5 of her supply of peanuts to make a trail mix and 3/5
of her supply to make a snack mix. If Tracy uses 16 pounds of peanuts, how many pounds of peanuts are in her
supply?
Answer:
she'll use in total 1/5 + 3/5 = 4/5 from her 16 pounds of peanuts so 4/5 * 16 = 12.8
Not entirely sure about my answer
5f+2h=100
Solve for F
Solving for the variable 'f' gives f = 100 - 2h/5
What is subject of formula?A subject of formula can be defined as the variable that is expressed in terms of other variables in a given expression, function of equation.
It is the variable that is worked out in an equation and left to stand on its own on one side of the equality sign
Given the equation;
5f+2h = 100
To make 'f' the subject of formula, we take the following steps;
Take '2' over the equality sign
5f = 100 - 2h
Now, let's make 'f' the subject by dividing both sides by its coefficient which is 5
We have;
5f/5 = 100 - 2h/5
Divide through
f = 100 - 2h/5
Thus, solving for the variable 'f' gives f = 100 - 2h/5
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A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 3200 seats. The students filled 2112 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?
The 6th graders filled 66% of the seats in the theater on the field trip.
To find the percentage of seats in the theater that were filled by the 6th graders on the field trip, we can use the following formula:
Percentage = (Filled Seats / Total Seats) * 100
Filled Seats = 2112
Total Seats = 3200
Substituting the values into the formula:
Percentage = (2112 / 3200) * 100
Percentage = 0.66 * 100
Percentage = 66%
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The 6th-grade students filled approximately 66 percent of the 3200 seats in the theater during their field trip to see the ballet.
Use the concept of percentage defined as:
A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.
The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.
Given that,
A middle school took its 6th-grade students on a field trip to see a ballet.
The field trip took place at a theater.
The theater has a total of 3200 seats.
The 6th-grade students filled 2112 of the seats in the theater.
To calculate the percentage of seats filled by the 6th-grade students:
Use the formula = (Number of seats filled / Total number of seats) x 100.
In this case,
The number of seats filled by the 6th-grade students is 2112, and the total number of seats in the theater is 3200.
Put the values, we get,
(2112 / 3200) x 100 = 66%
Hence
The 6th graders filled approximately 66% of the seats in the theater.
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WILL GIVE BRAINLIST AND EXTRA POINTS TO BEST ANSWER!!
Leslie surveyed 80 students in her grade and found that 47 students had a dog of those students, 17 of them also had a cat. There were 24 students that had a cat, but not a dog. There were 9 students that did not have a cat or a dog. Move values to create a two-way table that shows the data from Leslie's survey.
A two–way table that shows data from Leslie's survey is presented as follows;
Dog. No dog Total
Cat. 17. 24. 41
No cat. 30. 9. 39
Total 47. 33. 80
How can the two–way table be completed?The given parameters are;
Number of students in the survey = 80Number that had a dog = 47Number that also had a cat = 17Number that have cats but no dogs = 24Number that have neither cats or dogs = 9Solution;
The number that have dogs and no cat = 47 - 17 = 30
Therefore, we have;
Dog and cat = 17
No dog and cat = 24
No dog no cat = 9
Total number that have cats = 17 + 24 = 41
Number that have no cats = 30 + 9 = 39
Sum total of students that have no dogs = 24 + 9 = 33
A two way table is presented as follows;
Dog. No dog Total
Cat. 17. 24. 41
No cat. 30. 9. 39
Total 47. 33. 80
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