Answer: -1.6n - 1
Step-by-step explanation:
1. Rearrange the expression so like terms are next to each other
3.2n - 4.8n + 5 -6
2. Combine like terms
-1.6n - 1
3. Check your work, and your simplified expression should be correct!
What is the factored form of this expression?
8x^3 - 8x^2 - 30x=
1 ) There are 36 students in a class and 18 of these students passed their Chemistry test.
What percentage of these students passed their test? Round your answer to the nearest
whole number if necessary.
Answer:
60% of the students passed the test
Step-by-step explanation:
total # of people taking the test: 36
# of people passed: 18
# of people failed: 36-18 = 18 (18 people failed the test)
percentage= (number of favorable outcomes/total number of outcomes)* 100%
(18/36)*100
= 60%
Answer:
50%
Step-by-step explanation:
Which statements apply to the ratio of rice and water? Choose two options.
The amount of rice is the dependent value.
The amount of water is the dependent value.
The amount of rice is the independent value.
The amount of water is the independent value.
The values cannot be labeled as dependent or independent without a given equation.
Answer:
3 and 4 or C and D
Step-by-step explanation:
The independent value is the quantity of rice. The dependent value is the volume of water. B and C are the appropriate choices.
What is a ratio?An ordered pair of numbers a and b, expressed as a / b, is a ratio if b is not equal to 0. An equation that balances two ratios is known as a percentage. The numerical relationship between the two numbers illustrates how frequently one value contains or is contained within another.
Regarding the ratio of rice to water, the adages "The amount of rice is the independent value" and "The amount of water is the dependent value" are applicable.
The amount of rice is the independent value because it is the value that is being varied or controlled in the ratio. The amount of water is the dependent value because it depends on the amount of rice used in the ratio.
Therefore, the correct options are:
The independent value is the quantity of rice.
The dependent value is the volume of water.
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For values of h very close to 0, which function best approximates (tan(x+5)-tan x) / h
Answer:
[tex]sec^2(x)[/tex]
Step-by-step explanation:
This just means, what is the derivative of tan(x)The function that best approximates the given situation is sec²x.
We have to find
[tex]\lim_{h \to\00} \frac{tan(x+h)-tan x}{h}[/tex]
Since the given expression reduces to 0/0 form when we apply the limits
So, let us apply the L'hospital rule
What is the L'hospital rule to find a limit?L'Hospital's Rule tells us that if we have an indeterminate form 0/0 or ∞/∞ all we need to do is differentiate the numerator and differentiate the denominator and then take the limit.
So, after differentiating the numerator as well as the denominator of the given expression with respect to h we get
[tex]\lim_{h \to\00} \frac{sec^2(x+h)-0}{1}[/tex]
[tex]= lim_{h \to\00} \frac{sec^2(x+0)}{1}\\\\= sec^2x[/tex]
Therefore, the function that best approximates the given situation is sec²x.
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What is the slope of the graph
Answer:
1/3
Step-by-step explanation:
The slope increases by 1/3.
The slope formula is y2-y1/x2-x1.
When you plug in the points and simplify, you get 1/3.
Which of the following is true of an outlier?
An outlier is a false data point.
An outlier does not affect measures of central tendency.
An outlier is always the highest or lowest value in a data set.
An outlier is not near the main cluster of data.
The last one is the best answer choice
An outlier is not near the main cluster of data
little tip to help you remember is that the name is outlier and out means out and outliers are always out of the main cluster of data
Consider the line y = 4x-3.
Find the equation of the line that is perpendicular to this line and passes through the point (3, -3).
Find the equation of the line that is parallel to this line and passes through the point (3, -3).
Answer:
perpendicular line: y = -[tex]\frac{1}{4}[/tex]x - [tex]\frac{9}{4}[/tex]
parallel line: y = 4x - 15
Step-by-step explanation:
Perpendicular line:
A perpendicular line to y = 4x-3 would have a slope that is the negative reciprocal (flip the fraction and add a negative sign). The negative reciprocal of 4 is - [tex]\frac{1}{4}[/tex].
Now that we have our slope, we can plug the given point of (3, -3) into the slope-intercept equation to find b.
-3 = - [tex]\frac{1}{4}[/tex](3) + b
-3 = - [tex]\frac{3}{4}[/tex] + b
Add [tex]\frac{3}{4}[/tex] to each side of the equation to isolate b.
-[tex]\frac{9}{4}[/tex] = b
Now we can write our equation, y = -[tex]\frac{1}{4}[/tex]x - [tex]\frac{9}{4}[/tex]
Parallel Line:
A parallel line to y = 4x-3 has the same slope. To find the equation, plug the slope and given point (3, -3) into the slope intercept equation and solve for b.
-3 = 4(3) + b
-15 = b
Now you can write the equation, y= 4x -15
A factory uses 1/6 of barrel of raisins in each batch of granola bars. Yesterday,the factory used 7/6 barrels of raisins. how many batches of granola bars did the factory make yesterday?
Marcus is considering two car rental plans. Plan A can be modeled with the equation C=30d, and Plan B can be modeled with the equation C=25d + 15, where C represents the cost in dollars and d represents the number of days a car is rented. Which statement would justily selecting Plan B instead of Plan A
A.Marcus rent a car for 1 day
B.Marcus rent a car for 2 days
C.Marcus rent a car for 3 days
D.Marcus rent a car for 5 days
Answer:
D. Marcus rent a car for 5 days
Step-by-step explanation:
You can solve this by simply plugging the answer choices into the variable d for both equations and comparing the total costs.
When you plug in 5 days you get:
Plan A
C = 30 x 5
C = 150
Plan B
C = 25 x 5 + 15
C = 140
The cost is less for Plan B in this case, so it is better to use Plan B when renting for 5 days.
Mara carried water bottles to the field to share with her team at halftime. The water bottles weighed a total of 60x2 + 48x + 24 ounces.
Which factorization could represent the number of water bottles and weight of each water bottle?
Answer:
12(5x^2+4x+24)
Step-by-step explanation:
Answer:
b) 12(5x^2+4x+24)
Step-by-step explanation:
WILL GIVE BRAINLIEST graph -8=2x-y using the x and y intercepts (show your work pls)
Answer:
-8=2x-y get this into y=mx+b form to find the y-intercept
-y=-2x-8
y=2x+8
the y-intercept is 8 so it passes through (0,8)
to find the x-intercept, set y to equal zero
0=2x+8
-8=2x
x=-4
the x-intercept is -4 so it passes through (-4,0)
the slope is 2 based on the slope-intercept form
3base and 7 power answers
Answer:
2187
Step-by-step explanation:
Multiply 3 seven times in your calcultor to check this answer or look it up on google
Tony hit 9 out of 15 pitches at baseball practice yesterday. What percentage of the pitches did Tony NOT hit?
Answer:
5%
Step-by-step explanation:
Answer:
40%
Step-by-step explanation:
using the box method,
multiply 9 × 100
= 900 and divide 900 by 15
900 ÷ 15 = 60%
60% is the amount of pitches he hit
100% - 60% = 40%
he missed 40%
Please Help Me!!!
I will give brainliest!!!
Answer ; Its answer is 325.
Answer:
I believe is b. and d.
Step-by-step explanation:
2/5 * x = 4
x = 4 : 2/5
1 bag is 2/5 kg.
The customer wants to buy 4 kg. So you need to multiply the single bag for a number that will give you 4 in total.
Here is an example with whole numbers, 8nstead of fraction. if the bag was 2 kg, and you want a total of 4kg. You need to multiply that 2 by a number x to get to your total 4. so you will have 2 * x = 4
That’s why you have 2/5 * x = 4
to isolate x, you need to devide both side by 2/5.
2/5 * x = 4
: 2/5 : 2/5 (Divide both sides by 2/5)
x = 4 : 2/5
Juice box has 20% more juice in its new packaging. The original packaging held 12 fluids ounces. How much juice does the new packaging hold?
Answer: 14.4
Step-by-step explanation:
There are 14.4 fluids ounces juice does the new packaging hold.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
Juice box has 20% more juice in its new packaging.
And, The original packaging held 12 fluids ounces.
Now,
Since, The original packaging held 12 fluids ounces.
Hence, The amount of juice does the new packaging hold is;
⇒ 12 + 20% of 12
⇒ 12 + 20/100 × 12
⇒ 12 + 2.4
⇒ 14.4
Thus, There are 14.4 fluids ounces juice does the new packaging hold.
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0.0277777778 as a fraction will give brainliest to the best answer
There is not much that can be done to figure out how to write 0.0277777778 as a fraction, except to literally use what the decimal portion of your number, the .0277777778, means.
Since there are 10 digits in 0277777778, the very last digit is the "10000000000th" decimal place.
So we can just say that .0277777778 is the same as 0277777778/10000000000.
Consider the system of equations.
y = -2x + 1
3x - 2y = 5
Solve the system of equations algebraically. Show your work.
help quick Im being timed
Answer:
Point form:
(1, -1)
Equation form:
x=1, y=-1
Step-by-step explanation:
I hope the work wasnt part of the assignment cause i really have trouble showing mine.
Jill rode her bike for 2/3 hours at 18 mph and she walked 2/5 hours with a speed of 5 mph. By how much more distance did she ride her bike, then she walked\
Answer:
More distance ride by bike = 10 miles
Step-by-step explanation:
Distance cover by bike = 2/3 x 18
Distance cover by bike = 12 miles
Distance cover by walk = 2/5 x 5
Distance cover by walk = 2 miles
More distance ride by bike = Distance cover by bike - Distance cover by walk
More distance ride by bike = 12 miles - 2 miles
More distance ride by bike = 10 miles
Answer:
10
Step-by-step explanation:
cxqc+123=pos which means that
One restaurant sells a large cheese pizza for $8.25 and charges $1.25 per topping added. Another place charges $9.00 for a large cheese pizza and $1.00 per additional topping. If you buy a pizza from each place, both with the same number of toppings, how many toppings need to be put on each one for the pizzas to cost the same amount?
Answer:
3
Step-by-step explanation:
You take 8.25+1.25 and get 9.5. Then you add 9.5 and add it again, until you get a whole number. Then 9+3 is also 12 so, you answer is 3 toppings.
How many 1/3 pound servings are in 4 2/3 pounds of cheese?
Answer:
14 Serving
Step-by-step explanation:
If you multiply 1/3 14 times.
they're 13 1/3 pound servings in 4 2/3 pounds of cheese
Write an equation of the line graphed below in slope-intercept form.
The equation of the line is y = (2/3)x -1
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
From the given graph, we have two points (0, 1) and (3,3)
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
y - 1= (3 -1 ) / (3 -0) x (x -0)
y = (2/3)x -1
The equation of the line is;
y = (2/3)x -1 {equation 1}
Slope intercept form of a line is
y = mx + b {equation 2} ,
where m is the slope and b is the y-intercept.
On comparing the equation (1) and (2) we get
It means,
Slope = 2/3
y-intercept = -1
Therefore, the equation of the line is y = (2/3)x -1
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A square and an equilateral triangle have the same perimeter. Each side of the triangle is 3 inches longer than each side of the square. Select the equation that will help you find the length of each side of the square.
Answer:
Step-by-step explanation:
Let the length of the side of the square be x
Perimeter of the square = 4x
Let the sides of the triangle be s1, s2 and s3
If each side of the triangle is 3 inches longer than each side of the square, then
s1 = x+3
s2 = x+3
s3 = x+ 3
Perimeter of the triangle P = s1+s2 + s3
If the square and thr triangle have the same perimeter then;
perimeter of square = perimeter of triangle
4x = s1+s2+s3
4x = x+3+ x+3+ x+3
4x = 3(x+3)
Hence the required equation is 4x = 3(x+3) where x is the side of the square.
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Are the triangles similar? If so, what is the scale factor which converts ARPO to AVAQ?
Order the following numbers from least to greatest.
Put the least value on the left.
Answer:
-2, -5/2, 1.7
Step-by-step explanation:
since in negative larger numbers are smaller, a negative fraction is larger than a negative whole number
Answer:
Step-by-step explanation:
- 5/2 | -2 | 1.7
i just got it correct doing that
will give brainliest!!
Paula has a special puzzle in which all the pieces fit together in any way. There is no goal picture. Instead, the goal of the puzzle is to make different patterns and pictures using the pieces. If Paula has 35 unique puzzle pieces and she plans to use all of them, how many possible pictures can she create?
Answer:
Sure this is a question from probability
Possible 2^n can be use
2^35 =3.432597387 × 10^10
Step-by-step explanation:
I'm not sure
Paula can create number of possible ways of pictures are 35!.
What is a permutation?A permutation is defined as a mathematical process which determines the number of different arrangements in a set of objects when the order of the sequential arrangements.
Given that Paula has 35 unique puzzle pieces
So, the method of organizing possible pictures can she create dependent on each other to succeed.
There is an arrangement process
It is equal to the permutation of 35 numbers
⇒ ³⁵P₃₅
The formula of ⁿPₓ = n!/(n-x)!
⇒ 35!/(35-35)!
⇒ 35!/0! [∵ 0! = 1]
⇒ 35!
Hence, Paula can create number of possible ways of pictures are 35!.
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Which second degree polynomial function f(x) has a lead coefficient of 3 and roots 4 and 1?
Answer:
any options that were given to you?
Answer:
its D
Step-by-step explanation:
D on edge 2020
point slope form of (1, 0) and (6, -3)
Answer:
Step-by-step explanation:
1 is x and 0 is y while 6 is x and -3 is y and 6,-3 is the 2nd graph
Can somebody help me with this I really wanna have a birthday
Answer:
y=-2x+2 That's definitely correct
Answer:
(2,1) and (-2,3) is the equation
Here is a set of signed numbers: 7, -3, 1,-0.8,0.8. - 1,-2 Order the numbers from least to greatest.
Answer:
-3,-2,-1,-0.8,0.8,1,7
Step-by-step explanation:
brainliest please
Answer:
-3, -2, -0.8, 0.8, 1, 1, 7
Step-by-step explanation:
negatives first then positive
-3 - (-5) as addition
Answer:
-3+5
Step-by-step explanation:
Is the solution and complete awnser is 2.