Answers
Answer:
Step-by-step explanation:
1). [tex]\frac{2}{3}n-\frac{3}{4}n+\frac{1}{6}n+2\frac{2}{9}n[/tex]
= [tex]\frac{2}{3}n-\frac{3}{4}n+\frac{1}{6}n+(2+\frac{2}{9})n[/tex]
= [tex](\frac{2}{3}-\frac{3}{4}+\frac{1}{6})n+(2+\frac{2}{9})n[/tex]
= [tex](\frac{8}{12}-\frac{9}{12}+\frac{2}{12})n+(2+\frac{2}{9})n[/tex]
= [tex]\frac{(8-9+2)}{12}n+(2+\frac{2}{9})n[/tex]
= [tex]\frac{1}{12}n+(2+\frac{2}{9})n[/tex]
= [tex](\frac{1}{12}+2+\frac{2}{9})n[/tex]
= [tex](\frac{3}{36}+\frac{72}{36}+\frac{8}{36})n[/tex]
= [tex]\frac{83}{36}n[/tex]
= [tex]2\frac{11}{36}n[/tex]
2). [tex]\frac{2}{5}g-\frac{1}{6}-g+\frac{3}{10}g-\frac{4}{5}[/tex]
= [tex](\frac{2}{5}-1+\frac{3}{10})g-(\frac{1}{6}+\frac{4}{5})[/tex]
= [tex](\frac{4}{10}-\frac{10}{10}+\frac{3}{10})g-(\frac{5}{30}+ \frac{24}{30})[/tex]
= [tex](\frac{4-10+3}{10})g-(\frac{5+24}{30})[/tex]
= [tex]\frac{-3}{10}g-\frac{29}{30}[/tex]
= [tex]-\frac{3}{10}g-\frac{29}{30}[/tex]
3). [tex]i+6i-\frac{3}{7}i+\frac{1}{3}h+\frac{1}{2}i-h+\frac{1}{4}h[/tex]
= [tex]7i-\frac{3}{7}i+\frac{1}{2}i+\frac{1}{3}h-h+\frac{1}{4}h[/tex]
= [tex](7-\frac{3}{7}+\frac{1}{2})i+(\frac{1}{3}-1+\frac{1}{4})h[/tex]
= [tex](\frac{98}{14} -\frac{6}{14}+\frac{7}{14})i+(\frac{4}{12}-\frac{12}{12}+\frac{3}{12})h[/tex]
= [tex](\frac{98-6+7}{14})i+(\frac{4-12+3}{12})h[/tex]
= [tex]\frac{99}{14}i-\frac{5}{12}h[/tex]
Related Questions
What is the answer for -11x-11
Answers
Answer:
-11(x+1)
Step-by-step explanation:
nice picture!
oops i read question wrong lol
The drama club is selling 1/8 pound of chocolate for Valentine's Day. They have 75 orders and only 3 pounds of chocolate. How much more pounds of chocolate will they need to complete the orders?
Answers
Answer:
I'm not sure if you're looking for an approximation or the exact amount, so I'll give you both. The drama club would need exactly 9.375 lbs of chocolate for the 75 orders, or 6.375 more lbs. If we round that up to the nearest pound, the club would need 10 lbs of chocolate to cover the 75 orders, with some left over. So, they would need 7 lbs more.
An isosceles right triangle has a hypotenuse of length e. Select all that are true for the triangle.
Answers
Note: if the formulas don't load properly, then you may need to refresh the page.
======================================================
Explanation:
For any 45-45-90 right triangle, the hypotenuse H is always sqrt(2) times the leg L
In terms of symbols, we can say
[tex]H = L*\sqrt{2}[/tex]
We're told the hypotenuse is e, so H = e
Let's solve for L in terms of e
[tex]H = L*\sqrt{2}\\\\e = L*\sqrt{2}\\\\L*\sqrt{2} = e\\\\L = \frac{e}{\sqrt{2}}\\\\[/tex]
Now let's multiply top and bottom by [tex]\sqrt{2}[/tex] to rationalize the denominator
[tex]L = \frac{e}{\sqrt{2}}\\\\L = \frac{e\sqrt{2}}{\sqrt{2}*\sqrt{2}}\\\\L = \frac{e\sqrt{2}}{\sqrt{2*2}}\\\\L = \frac{e\sqrt{2}}{\sqrt{4}}\\\\L = \frac{e\sqrt{2}}{2}\\\\[/tex]
If the hypotenuse is e, then the length of each leg is [tex]\frac{e\sqrt{2}}{2}[/tex]
This matches with choice C, which is one of the two answers. This allows us to rule out choices A and B, as those expressions are not equivalent to the expression for choice C.
----------------
The two legs of any right triangle form the base and height. The order doesn't matter. The base is always perpendicular to the height. In a right triangle, the two legs are always perpendicular.
The base and height are [tex]\frac{e\sqrt{2}}{2}[/tex] each.
The area of the triangle is...
[tex]\text{Area} = \frac{1}{2}*\text{base}*\text{height}\\\\\text{Area} = \frac{1}{2}*\frac{e\sqrt{2}}{2}*\frac{e\sqrt{2}}{2}\\\\\text{Area} = \frac{e\sqrt{2}*e\sqrt{2}}{2*2*2}\\\\\text{Area} = \frac{e*e\sqrt{2*2}}{2*2*2}\\\\\text{Area} = \frac{e^2\sqrt{4}}{2*2*2}\\\\\text{Area} = \frac{e^2*2}{2*2*2}\\\\\text{Area} = \frac{e^2}{2*2}\\\\\text{Area} = \frac{e^2}{4}\\\\[/tex]
This matches with choice E, which is the other answer. Choices D and F are eliminated as they are not equivalent to the expression for choice E.
The required points that are correct are the length of the leg is given as e√2/2 and the area of the triangle is given as e²/4. Options D and E are correct.
Given that,
An isosceles right triangle has a hypotenuse of length e.
In a right-angled triangle, its side, such as hypotenuse, perpendicular, and base is Pythagorean triplets.
Here,
Let the measure of the leg be x,
Apply Pythagoras' theorem,
e² = x ² + x²
e² = 2x²
x = √e²/2
x = e/√2
or
x = e√2/2
Now,?
area of the triangle is given as,
area = 1/2 × e/√2 ×e/√2
area = e² / 4
Thus, the required points that are correct are the length of the leg is given as e√2/2 and the area of the triangle is given as e²/4. Options D and E are correct.
Learn more about Pythagorean triplets here:
brainly.com/question/22160915
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The drama club was selling tickets
to the school play. Adult tickets
cost $8.00 each, and student
tickets cost $5.00 each. The little
theater holds 142 people and was
sold out for both Friday and
Saturday. The total sales for the
two days was $1,948.00.
1. How many adult tickets were
sold out over the two days?
2. How many student tickets were
sold out over the two days?
Answers
Answer:
108 student tickets, and 176 adult tickets were sold
Step-by-step explanation:
Adult ticket $8 Call the number of adult tickets sold "a"
Student ticket $5 Call the number of student tickets sold "s"
Since we are talking about TWO consecutive days of sold out seats, the total number of seats sold were 2* 142 = 284
Then we create two different equations with the information given:
a + s = 284
8 * a + 5 * s = 1948
we can solve for s in the first equation as follows: s = 284 - a
and use it in the second equation
8 a + 5 (284 - a) = 1948
8 a + 1420 - 5 a = 1948
combining
3 a = 528
a = 528/3
a = 176
we find the number of student tickets using this answer in the substitution equation we used:
s - 284 - 176 = 108
Therefore 108 student tickets, and 176 adult tickets were sold.
what is the answer to this 1c.) -6.7 + (-5.2)
Answers
Answer:
-11.9
Step-by-step explanation:
lmk if this is wrong
im currently failing in algebra ;)
Answers
Answer:
its option A
Step-by-step explanation:
its the correct option
if a prime number is rooted then it gives an irrational number
Answer:
Ok so the answer is sqrt of 39 but think about
Step-by-step explanation:
sqrt81 is 9 which is a whole number it is rational
sqrt16 is 4 which again is a whole number and is rational
1.9 is rational because it can be written as a fraction or ratio
but sqrt39 is a repeating decimal that goes on forever it still is a real number not fitting into the imaginary category but not a ration number.
What is the difference in average speed between two cars, one that traveled 160 kilometers in 5 hours, and the other that traveled 140 kilometers in the same time? Record and bubble your answer below.
Answers
Answer:
The difference in average speed between two cars, one that traveled 160 kilometers in 5 hours, and the other that traveled 140 kilometers in the same time is:
2 km/h.
Step-by-step explanation:
a) Data and Calculations:
Let A = first car and B = second car
Distance traveled by first car = 160 kilometers (km)
Distance traveled by second car = 140 kilometers
Time taken by each car = 5 hours
Speed of A = 160/5 = 32 km/h
Speed of B = 150/5 = 30 km/h
Difference in speed = 2 km/h (32 - 30)
b) The average speed of a car is given by the distance traveled divided by the time taken to travel the distance. The speed here is expressed in kilometers per hour (km/h). It can also be expressed in meters per hour or second, etc.
Answer:
4
Step-by-step explanation:
find the measure of the red angle
Answers
Hope this helps:))
Answer:
Hi add a picture pls
Step-by-step explanation:
Picture :)
Find 131.2% of 477. Round to the nearest tenth.
Answers
131.2(477)=62,582.4 is the answer you're looking for
or you could say that 100% is 477
then just find 31.2% of 477 and add it to the 477 to have 131.2%.
which looks like: (477•.312) = 148.8
477+148.8 = 625.8
Good luck!
The graph below shows a proportional relationship betweenx and y. Which equation describes this relationship?
Answers
Answer:
5 sm 21 ,ms
Step-by-step explanation:
+++ /
Cos+cos+cos+cos =
Answers
Answer:
equals
COS
Step-by-step explanation:
because cos×3=COS
Please help
Find the measure of the numbered angle.
a.230
b.115
c. 130
d. 125
Answers
Answer:
115
Step-by-step explanation:
because it only a little bit bigger than a 90 degree angle let me know if im right
A linear function has a y-intercept of -12 and a slope of 3/2 what’s is the equation of the lone
A.Y=3/2x-12
B.Y=3/2x+12
C.Y=2/3x-12
D.y=-12x-3/2
Answers
Answer:
A.Y=3/2x-12
Step-by-step explanation:
Option A would be the correct answer.
Answer:
y = 3/2x - 12
Step-by-step explanation:
slope intercept form is y= mx + b
m=slope
b= y-intercept
What is the pattern as the exponents decrease?
O subtract 5 from the previous value
O subtract 100 from the previous value
O divide the previous value by 5
O divide the previous value by 25
Answers
Answer:
C
Step-by-step explanation:
Edge 2020
The pattern as the exponent decreases is (c) divide the previous value by 5
How to determine the pattern?The sequence on the table are given as:
125, 25, 5, 1, 1/5, 1/25......
From the above sequence, we have:
125/5 = 25
This means that the current value is gotten by dividing the previous by 5
Hence, the pattern as the exponent decreases is (c) divide the previous value by 5
Read more about exponential functions at:
https://brainly.com/question/11464095
Write an equation in slope-intercept form for each graph shown. {Example 3)
Answers
Answer:
6) y=-1/3+5
7) y=10/8-12
Step-by-step explanation:
First responder in under 2 minutes gets brainly
Answers
Answer:
C
Step-by-step explanation:
The x's can not completely cancel each other out so they are still included but you have to divide the numbers, exponents and whole numbers.
Answer:
first one
Step-by-step explanation:
5(x + 3) + 3(y + 1)
Please answer! I will mark brainliest to the person that makes more sense!!
Answers
5(x + 3) + 3(y + 1)
= 5x + 3y + 18
The value of pi cannot be written as the ratio of two integers. Which statement is true?
PLS HELp
Answers
Answer:
pi is irrational
if I remember correctly it's irrational
Sam and Bobby want to know who cycled faster. The table shows the total miles Sam traveled over time. The graph shows the same relationship for Bobby. Who cycled faster.
Find the unit rate for Sam
Find the unit rate for Bobby
The unit rate is
Who cycled faster
Answers
What is the additive inverse of 7x-20
Answers
Answer:
140
Step-by-step explanation:
you have to first multiply them
-140
since it has to be an aditive inverse you write the opposite
140
The additive inverse of the polynomial 7x-20 is -7x+20.
The given algebraic expression is 7x-20.
What is additive inverse?The additive inverse of a number is its opposite number. If a number is added to its additive inverse, the sum of both the numbers becomes zero. The simple rule is to change the positive number to a negative number and vice versa.
Here, the additive inverse of given polynomial is
-7x+20
Therefore, the additive inverse of the polynomial 7x-20 is -7x+20.
Learn more about the additive inverse here:
https://brainly.com/question/24149673.
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Mary spent a total of $320.92 for a party. She spent $200.20 on food, plus an additional $30.18 for each hour of the party. How long was the party? Write an equation first!
Answers
Answer:
4.006627
Step-by-step explanation:
Total spent at party = food purchase + 30.18 per hour (x)
Subtract 200.20 from both sides.
120.72=30.18x
Divide both sides by 30.18x to get the x alone.
4=x
Because x represented how many hours you were at the party, the answer is 4 hours.
A florist wants to determine if a new additive would extend the life of cut flowers longer than the original additive. The florist randomly selects 20 carnations from the ones recently delivered by the greenhouse and places the first 10 in water with the new additive and remaining 10 in water with the original additive. After three weeks, 6 carnations placed in the new additive still looked healthy and 2 carnations placed in the original additive still looked healthy. The proportion of healthy carnations with the new additive was significantly greater than the proportion of healthy carnations with the original additive.
Which of the following is a valid conclusion?
Conclusions about cause and effect for the additives can be made, because the florist randomly selected the 20 carnations; additionally, inferences can be made about the population of carnations at the greenhouse.
Conclusions about cause and effect for the additives cannot be made, because the florist did not randomly assign the 20 carnations; however, inferences can be made about the population of carnations at the greenhouse, because the sample was random.
Conclusions about cause and effect for the additives can be made, because the florist took a random sample of 20 carnations; however, inferences cannot be made about the population of carnations at the greenhouse, because the carnations were not randomly assigned to the treatments.
Conclusions about cause and effect for the additives cannot be made, because the florist took a random sample of 20 carnations; and, inferences cannot be made about the population of carnations at the greenhouse, because the carnations were not randomly assigned to the treatments.
Answers
Answer:
The last one would be a valid conclusion {Conclusions about cause and effect for the additives cannot be made, because the florist took a random sample of 20 carnations; and, inferences cannot be made about the population of carnations at the greenhouse, because the carnations were not randomly assigned to the treatments.}
Answer:
I don't know the answer, but the other person was wrong. D and C are both wrong so it is either a or b.
Step-by-step explanation:
A salesperson receives a 2.5% commission on sales. What commission does the salesperson receive for $8000 in sales?
The commission is $___
Answers
Answer:
The commission is $200
Step-by-step explanation:
8,000 x 2.5% = 200
hii please help i’ll give brainliest if you give a correct answer tysm
Answers
Answer:
a, d, f.
Step-by-step explanation:
select one, four and six
Paige was planting a garden. She planted 1/3 of her garden with roses, 3/6 of her garden with daisies and the rest of the garden with tulips. What fraction of the garden was tulips?
Answers
Answer:
1/6
Step-by-step explanation:
Let the total number of flowers planted be 1
Given
Number of roses = 1/3
Fraction of daises = 3/6
Required
Fraction of tullips
Fraction of tullips = 1-(1/3+3/6)
Fraction of tullips = 1-(2+3/6)
Fraction of tullips = 1-5/6
Fraction of tullips = 1/6
Hence the fraction of tulip left is 1/6
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease per unit of x, to the nearest tenth of a percent. Y 1600(1.46) Growth % increase Submit Anwar
Answers
Answer:
For any exponential function in which the base is less than 1, it will be an exponential decay situation. In this problem, the base is 0.97. The amount that the base is less than 1 ( i.e. 1 - base) represents, in decimal form, the percent of decrease, which in this case is 0.03 or 3%.
Step-by-step explanation:
The formula for exponential decay is y=a(1-r)x.
r is the decay rate.
in the first quadrant you start at (3,7) and move 3 units down what point will you end up with
Answers
Answer:
(3, -3)
Step-by-step explanation:
Answer:
(4,4)
Step-by-step explanation:
when you go down 3 units you just need to subtract 3 from 7
Joe decided that he would spend no more than $60 to buy some shirts. If the price of one shirt is $9, then how many shirts can he buy?
Solve using inequalities
Answers
Answer:
6 shirts
Step-by-step explanation:
because if each shirt is 9 dollars and you have 60 dollars then take 60 divided by 9 and that is how many shirts you can get
a new car, valued at 28,00, depricates at 9% per year. What is the value of the car one year after purchase?
Answers
Answer:
After 1 year = $2548
Step-by-step explanation:
is this a right triangle? 6, 9, 15
Answers
Answer:
um u put numbers not triangle but also if u meant the numbers it would Correct
Step-by-step explanation:
Answer:
Yes it is
Step-by-step explanation:
