Answer:
expanding
commutative prop
factorisation
simplifying
Step-by-step explanation:
The distributive property states that a(b+c) is equal to ab+ac and (a+b)c is equal to ac+bc. The commutative property states that a+b=b+a.
Here are two stories: The initial freshman class at a college is 10% smaller than last year’s class. But then during the first week of classes, 20 more students enroll. There are then 830 students in the freshman class.
A store reduces the price of a computer by $20. Then during a 10% off sale, a customer pays $830
here are two equations: 0.9x+20=830, 0.9(x-20)=830
A. Decide which equation represents each story.
B. Explain why one equation has parentheses and the other doesn't.
C.Solve each equation, and explain what was the solution means in the situation.
Thank you to the people that answered my questions!
Using proportions, it is found that:
a. The equations are related to the stories as follows:
0.9x+20=830 = Class in college.0.9(x-20)=830 = Computer price.b. The parenthesis is because of the 10% reduction was applied over the value subtracted by $20.
c. The solutions are given as follows:
x = 900: Size of the freshmen class in the previous year.x = 942: Original price of the computer.What is a proportion?A proportion is a fraction of a total amount, and are used along with basic arithmetic operations such as multiplication or division to find the desired measures in the context of a problem.
One example of application of proportions is for percentage problems, as the decimal equivalent of the percentage, considering discounts or increases, is multiplied by the total amount to find the equivalent amount.
For the college class, we have that:
It is 10% smaller than last year's amount of x, that is, 90% of x = 0.9x.Then 20 is added to this amount, that is, 0.9x + 20.The equivalent amount is of 830 students, hence the equation is:
0.9x + 20 = 830
The solution is found as follows:
0.9x = 810
x = 810/0.9
x = 900.
Which is the size of the freshmen class in the previous year.
For the computer in the store, we have that:
The price of x was reduced by $20, hence x - 20.Over the price reduced by $20, a reduction of 10% was applied, hence the price paid is of: 0.9(x - 20).This price is of 830, hence the equation is:
0.9(x - 20) = 830
The solution, which is the initial price of the computer, is found as follows:
x - 20 = 830/0.9
x = 20 + 922
x = 942.
More can be learned about proportions at https://brainly.com/question/24372153
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If P( 9,r ) = 3,024, what is r ?
plz plz plz... help mè
I mark it... :(
Answer:
[tex] \frac{9i}{(9 - r)i} = 3024 \\ (9 - r)i = 9i \div 3024 = 362880 \div 3024 = 120 = \\ = 1 \times 2 \times 3 \times 4 \times 5 = 5i \\ r = 4[/tex]
how do i make my grades go up quickly- yes in all subjects plz help me
Answer:
Step-by-step explanation:
A way to make your grades go higher is by asking your teacher for extra credits. If you fail some quizzes ask your teacher to re-take it to get a better grade, another way is ask your teacher for assistance on assignments.
Tell whether the statement is always, sometimes, or never true. Explain.
1. If x and y are supplementary angles, then y is acute.
2. If x and y are complementary angles, then x is obtuse.
Answer:
1. If x and y are supplementary angles, then y is sometimes acute because supplementary angles are angles that add up to 180 degrees. So, y can be acute while x can be obtuse, y can be obtuse while x can be acute, or both can be right angles.
2. If x and y are complementary angles, then x is never obtuse. Complementary angles are angles that add up to 90 degrees, and obtuse angles are angles over 90 degrees, so it's impossible to have an obtuse angle as a complementary angle.
Step-by-step explanation:
Answer:
1) Sometimes
2) Never
Step-by-step explanation:
1) you could have two angles add up to 180 degrees and one of them could be less than 90
example, x = 140° and y = 40°
2) if two angles are complementary then their sum is 90° so neither angle must be less than 90°, thereby making them both acute angles
Tony built the figure in this pattern that has 23 squares. Write an
equation that you must solve to determine the figure number.
Answer: 66
Step-by-step explanation:
Answer:66
Step-by-step explanation:
66/23 as a percent value
When graphing a sine curve model using the equation Y = sin bx, the period (or wavelength) will be represented by
3
27
So be
period
Determine the equation for the sine curve that models the G# wave if the
wavelength of G# = 0.828 meters.
a.
y = sin(6.03x)
b. y = sin(0.828x)
C. y = sin(5.68x)
d. y = sin(7.59x)
Please select the best answer from the choices provided
use pic to answer
Answer:
its D, y= sin(7.59x)
Step-by-step explanation:
just took the quiz on edge
Which graph represents a function with a domain of all real numbers greater than or equal to -7 and less than 2?
Step-by-step explanation:
a. Complete the table of values for the relation y = - 6. Please answer each question in the box provided.
x y = - 6
-6
-3
0
3
6
9
Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values. Tap for more steps.
:
will be giving brainliest to the correct one, no links or account will be reported:)
Answer:
x = 38
∠P = 26º
Step-by-step explanation:
The sum of the angle in a triangle is 180
x + (x + 78) + (x - 12) = 180
Combine like terms
3x + 66 = 180
Subtract 66 from both sides
3x = 114
Divide both sides by 3
x = 38
-----------------------
∠P = x - 12
∠P = 38 - 12
∠P = 26º
Answer:
Step-by-step explanation:
(x+78)+(x-12)+x=180
3x+66=180
3x=114
x=38
P=26
Start time: 9:03 A.M.
Elapsed time: 5 hr 18 min
End time: P.M.
Answer:
2:21 P.M.
Is this the answer you' re looking for?
Answer:
2:21 pm
Step-by-step explanation:
Mary was writing a test. On the test there was a question which was "What is the square root of 30?" How can you estimate the square root of 30?
After she was done the test. she got it back from the teacher and the mark she got was 26/30. Find the percentage of her mark.
Answer:
86.6%
Step-by-step explanation:
1. Divide the amount of points Mary got from the test by maximum amount of points
26/30≈0.866
2.Multiply that by hundred
0.866*100=86.6
Answer: 86.6%
(x+1)^2 = -4
What are the solutions?
Answer:
x = 4i - 1 or
x = 4i + 1
Step-by-step explanation:
(x+1)^2 = -4
x+1 = (+-)4i
x = +-4i - 1
==>
x = 4i - 1 or
x = 4i + 1
At a children's concert there were 80 boys. There were 1 1/2 times the number of girls as boys. What percentage of the total number of children at the concert were girl?
Answer:
60% are girls
Step-by-step explanation:
80 x 1.5 = 120 which is the amount of girls
120 out of 200 is 12/20 or 3.5 which is 60%
What is the answer A B C D
Answer:
the answer is C
Step-by-step explanation:
Solve for x. Round to the nearest hundredth.
B
570
A
10.8
C
Answer:
58.014
Step-by-step explanation:
hope it really helps your friend
In the year 2003, a company made $5.4 million in profit. For each consecutive year after that, their profit increased by 9%. How much would the company's profit be in the year 2006, to the nearest tenth of a million dollars?
Profit in 2006: $7 million
First convert the percent into decimal: 9% = 0.09
Then use the percent increase then multiply by the number using this formula: ( 1 + r ) = ( 1 + 0.09) = 1.09
You only want to find how much profit in 2006, so you do this:
2003: 5.4
2004: 5.4 (1.09) = 5.886
2005: 5.886 (1.09) = 6.41574
2006: 6.41574 (1.09) = 6.99316
Then you take 6.99316 and round to the nearest tenth of a million dollars.
7 million dollars.
In the diagram c || d identify three numbered angles that have a measure of 70°
Answer:
∠1, ∠5 and ∠8 (a)
Step-by-step explanation:
∠1 because vertical angles are congruent
∠5 because opposite interior angles are congruent
if ∠5 = 70° then ∠8 also equals 70° because of vertical angles
Find the Value of x ( All help would be appreciated )
Answer:
Hello! answer: x = 31
Step-by-step explanation:
This whole thing Will equal 360 we can subtract that by 112 and another 112 because there are two because they are vertical angles so 112 + 112 = 224 360 - 224 = 136 now we divide by 2 since those last two angles will have the same measure 136 ÷ 2 = 68 so now we just have to find out what multiplied by 2 plus 6 = 68 so 2 × 31 = 62 and 62 + 6 = 68 so x = 31 hope that helps! and I showed a visual for you so hopefully this makes more sense!
Help help help help help help dont troll
Answer:the correct answer is C
Step-by-step explanation:
calculate the following showing populations the temperature in Johannesburg was 15° it drastically decreased by 17 °c what is the temperature now
Answer:
-2 degrees Celsius.
Step-by-step explanation:
15 - 17 = -2
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
D
Step-by-step explanation:
9514 1404 393
Answer:
C. Residuals aren't random; linear is not a good fit
Step-by-step explanation:
The attached graph shows the given points (black) and the best-fit line (red). The residuals are connected by the dashed red line. They are decidedly NOT random. It appears that an exponential fit would work better than this linear fit.
The residual values are not randomly dispersed around the horizontal axis, so a linear fit is not appropriate.
These two graphs represent _______ and _______ selection. A histogram with x-axis from 0 to 50 and y-axis from 0 to 100. Bars steadily increase from (40, 5) to (24.84, 55) and then steadily decrease to (40, 3). A histogram with x-axis from 0 to 50 and y-axis from 0 to 100. Bars increase quickly then decrease, increase again, and decrease quickly. a. directional; stabilizing b. stabilizing; disruptive c. disruptive; static d. static; directional Please select the best answer from the choices provided A B C D
Answer:B.
Step-by-step explanation: Got it right on quiz.
Answer:
b.
stabilizing; disruptive
Step-by-step explanation:
helppppp
pls and ty lol
The length of a shadow building is 28 m the distance from the top of the building to the tip of the shadow is 38 m find the height of the building if neccessary round your answer nearest tenth
Answer:
25.7m
Step-by-step explanation:
Pythagorean Theorem: a^2+b^2=c^2
28^2+b^2=38^2
784+b^2=1444
b^2=660
b=25.6904652 or 25.7m
What is an ecosystem?
1. A self-contained living thing
2. A group of interacting 3.individuals from the same species located in the same area
4. All of the biotic and abiotic things within a given area and all of their inteactions
5. A food web
Answer:
4
Step-by-step explanation:
Patrick’s drawing uses a scale of 1 inch = 10 meters. Squidward made another scale drawing of the hotel with a scale of 2 cm = 40 meters. How tall is the hotel on Squidward’s drawing?
Answer:
10 m building in Patrick's drawing would be of 0.5 cm
Step-by-step explanation:
Scale of Patrick's drawing is
1 inch = 10 meters
or 2.54 cm = 10 meters
1 cm = 3.94 m
In case of Squidward the scale is 2 cm = 40 meters or
1 cm = 20 meters
So a 10 m building in Patrick's drawing would be of
0.5 cm
Answer:
13.5
Step-by-step explanation:
Given: Patrick’s drawing uses a scale of 1 inch = 10 meters. Squidward made another scale drawing of the hotel with a scale of 2 cm = 40 meters.
To find: How tall is the hotel on Squidward’s drawing?
Formula: Height of the building = y × tan x + measurer's height
Solution: The height of the building is calculated by using the formula. y = distance of the measurer from the building. x = the angle measured from the clinometer.
Enter the equation for the graph.
Answer:
The answer on Acellus is y=1 cos(3)
Step-by-step explanation:
In the morning, the temperature was –3°. At noon, the temperature was 4° warmer than in the morning. What was the temperature at noon?
A
–7°
B
1°
C
–1°
D
7°
Answer:
The answer is A / because the morning temperature is -3 and the temperature in noon is 4 so The total temperature is -7
Step-by-step explanation:
its correct I HOPE I HELP YOU
find the area of the shape below
Answer:
114
Step-by-step explanation:
Answer:
Area = 115 yards
Step-by-step explanation:
If we look at this as two rectangles, you can see that the area of one is going to be 10yd multiplied by 9yd, which gives us 90yd. The other smaller rectangle will be 6yd multiplied by 4yd, which gives us 24yd.
Now, add the two areas back together to get the area of the whole shape and you get A=115yd.
Hope this helps!
Name a pair of vertical angles in the figure.
Answer:
1 and 3
Step-by-step explanation:
vertical angles are opposite to each other when angles are created by intersecting lines.
Answer:
1 and 3 our the only vertical angles in this picture HOPE THAT HELPS!