Answer: [tex]-1\frac{1}{5}[/tex]
Step-by-step explanation:
[tex]2(P +1) + 3(P + 2 ) > 2[/tex]
Distribute 2 and 3
[tex]2P+2+3P+6>2[/tex]
Combine like terms;
[tex]5P+8>2[/tex]
Subtract 8
[tex]5P>2-8[/tex]
[tex]5P>-6[/tex]
Divide by 5
[tex]P>-\frac{6}{5}[/tex]
Convert to a mixed number by dividing. However, when we have the numerator greater than the denominator, we must find a way to make the numerator lower. We can achieve this by separating it into 2 fractions.
[tex]-\frac{6}{5}=-\frac{5}{5}-\frac{1}{5}[/tex]
When we do this, we can see that 5/5 = 1
[tex]-1-\frac{1}{5}=-1\frac{1}{5}[/tex]
Considere as funções com domínio dos números reais dadas por f(x) = -x + 5 e g(x) = 2x + 2 Calcule o valor de : F(0) + g(1) ________ F(2)
A 3.
B4.
C9.
D5.
E 7
Answer:
C) 9
f(0) +g(1) = 5 +4 =9
F(2) = -2 + 5 =3
Step-by-step explanation:
Given f(x) = -x + 5
g(x) = 2 x + 2
Put x=0 in f(x) = -x +5
f(0) = -0 +5 =5
g(x) = 2 x + 2
Put x= 1
g(1) = 2(1) +2
g(1) = 4
f(0) +g(1) = 5 +4 =9
b) f(x) = -x +5
put x = 2
F(2) = -2 + 5 =3
A store gives away gift bags during a sale. Of these gift bags, 50% are green, 20% are yellow, and 30% are blue. The average number of items in each green bag is 8. The average number of items in each yellow bag is 5. The average number of items in each blue bag is 8. What is the average number of items in all the gift bags? PLS, HELP WILL GIVE YOU 95 PTS!!!!!!!!
Answer:
7
Step-by-step explanation:
So I started with an equation (g for green variable, y for yellow variable, b for blue variable)
8g + 5y + 8b = ??
Because of the lack of variables, I'm not really sure how to tie in the 50%, 20%, and 30%. (It could be unnecessary information)
But going off the average number of items, you have 8 green, 5 yellow, and 8 blue. So you can add them together for 21. From here, you divide 21 by 3 to get your average, 7.
Answer:hmm
Step-by-step explanation:
assume that for a particular group of students, the events is a senior and is female are independent. If 30% of the students are seniors and 54% of the students are female, what is the probability of being a female senior?
Answer:
C
Step-by-step explanation:
If 30% of the entire population of students are seniors, then this will apply to the female population as well. This means that the probability of being a female senior is 30% * 54%=0.3*0.54=0.162=16.2%, or answer choice C. Hope this helps!
Points 2
Triangle ABC is translated 3 units left and 4 units up. Find the coordinates of
the new triangle
Answer:
a = -1,6 b = 1,11 c = 4,11 .
Henry's wage is £450 per week.
He spends 2/5 of his wage on food.
30% goes on the household bills and the rest is saved.
How much does Henry save each week?
Answer:
He saves £135 each week
Step-by-step explanation:
He spends 2/5 of his wage on food
2/5x450=£180
He spends 180£ on food each week
30% of 450 is 135 which he spends on house holdbills. thus, he pays £135 on bills
so his total expenditure is 135+180= £315
he saves the rest which is £135.
thus, your answer is £135
James went on holiday to America.
The summary table below shows all his expenses during this trip.
Cost in $
Cost in £
Flights
£1,400
Hotel (14 nights)| $105 per night
Wifi (13 days)
$4 per day
I
The exchange rate at the time of James' holiday
was $1.45 to £1
Work out, in £, the total cost of his holiday.
Answer:
£2,450
Step-by-step explanation:
What we want to do here is calculate the total amount spent on his birthday in £
We already have some costs in pounds, it is the costs not in pounds we are converting.
Flights already in pounds, no conversion
Hotel $105 per night at 14 days
Total here is 14 * 105 = $1470
Wifi cost at $4 per day for 13 days
Total here is 13 * 4 = $52
Total amount spent in dollars alone is $1470 + $52 = $1522
We try and covert this to pounds
$1.45 = £1
$1522 = £x
We simply cross multiply at this point
x = 1522/1.45 = 1049.65 which is approximately £1050
Total amount spent in £ is thus 1050 + 1400 = £2,450
Answer:
£2449.65
Step-by-step explanation:
105 × 14 = $1470
1470 ÷ 1.45 = £1013.79
13 × 4 = $52
52 ÷ 1.45 = £35.86
£1013.79 + £35.86 = £1049.65
£1049.65 + 1400.00 = £2449.65
The total cost was £2449.65
A coin jar contains 10 quarters, 6 dimes, and 8 nickels. Find the probability that a dime is chosen at random from the jar and then a nickel is chosen at random from the jar.
Answer: 6 to 24
Step-by-step explanation:
Summer looked at the formula for the Pythagorean Theorem, a2 + b2 = c2, she said that it didn’t matter which sides of a right triangle were a, b, and c. Is she correct? A. Yes, she is correct. B. No, a must be the shortest side, then b, and c is the longest side. C. No, c must be the shortest side, then b, and a is the longest side. D. No, a and b are interchangable, and c is the longest side.
Answer: D. No, a and b are interchangeable, and C is the longest side.
Step-by-step explanation:
Either A and B which are the two legs can be greater than the hypotenuse which is C. They hypotenuse has to always be greater than the two legs and the two legs have the same lengths but it can't be greater than the hypotenuse.
For example let's say you have a right angle with side lengths 3,4 and 5.
5 in this case has to be always the hypotenuse.
A could be either 3 or 4 but not 5
And B could also be 3 or 4 but not 5
because A squared plus B squared is always equal to the hypotenuse which is 5.
3^2 + 4^2 = 5^2
9 + 16 = 25
25 = 25
Answer:
D. No, a and b are interchangeable, and C is the longest side.
Step-by-step explanation:
A recent survey of 3790 people found that out of all respondents, only 579 shop at local farmer's markets. Express the ratio of people who shop at local farmer's markets to the total as a decimal rounded to the thousandths place. 2 points Is this a part-to-part or a part-to-whole ratio? 1 point Use your answer from the first part in a sentence. 3 points
Answer:
Step-by-step explanation:
So I am hoping this is right....
you would take 3790/579
rounded to the thousandths place would be 6.546 rounded
this would be part to whole
so as part to whole for every 100 people 6.546 shop at the local farmers market
A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18 \pi18π18, pi meters. What is the area AAA of the cross section of the column? Give your answer in terms of pi. A =A=A, equals \text{ m}^2 m 2 start text, space, m, end text, squared
Answer:
[tex]A=81\pi $ m^2[/tex]
Step-by-step explanation:
Circumference of the column [tex]=18\pi $ meters[/tex]
Circumference of a circle[tex]=2\pi r[/tex]
Therefore:
[tex]2\pi r =18\pi $ meters\\2r=18\\r=18 \div 2\\$Radius, r=9 meters[/tex]
Area of a Circle [tex]=\pi r^2[/tex]
Since radius of the cross section of the column =9 meters
Area of the cross section of the column
[tex]=\pi *9^2\\=81\pi $ m^2[/tex]
Answer:
81pi
Step-by-step explanation:
I need help on this math problem ASAP.
Answer:
This shape is a rectangle so that means that the angles are 90°. From sum of angles of a triangle, x + 3x + 10 + 90 = 180 which means 4x + 100 = 180 → 4x = 80 → x = 20°.
If f(x) = - x2 + 6x - 1 and g(x) = 3x2 - 4x - 1, find (f- g)(x).
Answer:
Step-by-step explanation:
- 4x² + 10x
Answer:
[tex]\fbox{\begin{minipage}{11em}(f - g)(x) = -2x(2x - 5)\end{minipage}}[/tex]
Step-by-step explanation:
Given:
[tex]f(x) = -x^{2} + 6x - 1 \\ g(x) = 3x^{2} - 4x - 1\\[/tex]
Solve for:
[tex](f - g)(x)[/tex]
Solution:
Perform the subtraction:
[tex](f - g)(x) = (-x^{2} + 6x - 1) - (3x^{2} - 4x - 1)[/tex]
Eliminate the parenthesis (notice the change in sign of some components):
[tex](f - g)(x) = -x^{2} + 6x - 1 - 3x^{2} + 4x + 1[/tex]
Rearrange the expression:
[tex](f - g)(x) = (-x^{2} - 3x^{2}) + (6x + 4x) + (1 - 1)[/tex]
Simplify the expression:
[tex](f - g)(x) = -4x^{2} + 10x[/tex]
Perform the inverse of associative property:
[tex](f - g)(x) = -2x(2x - 5)[/tex]
Hope this helps!
:)
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:5/3
Step-by-step explanation:
choose two coordinates (40,0) and (70,50) then use y2-y1/x2-x1. when you plug the numbers in 50-0/70-40, subtract 50/30, and simplify, you get 5/3
What is the value of the rational expression below when xis equal to 3?
15 - X
9-X
Answer:
x=12
x=6
Step-by-step explanation:
15-(3)=12
9-(3)=6
Answer:
15-x is 12
9-x is 6
Step-by-step explanation:
Find the exact value using trigonometric identities.
PLEASE HELP WILL MARK BRAINLIEST
There are 5 boys in a class of 12 students. (a) What is the ratio of all students in the class to girls? (b) What is the ratio of girls to boys?
Answer:
(a) 12:5
(b)12:7
Step-by-step explanation:
HOPE i helped!
Two parallel lines are crossed by a transversal. Horizontal and parallel lines p and q are cut by transversal m. At the intersection of lines p and m, the bottom left angle is b degrees. At the intersection of lines q and m, the top right angle is 128 degrees. What is the value of b?
Answer:
If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary . ... When two lines are cut by a transversal, the pairs of angles on either side of the transversal and outside the two lines are called the alternate exterior angles .
Step-by-step explanation:
hope this helps you :)
Answer:
The answer is 102
Step-by-step explanation:
Did it on edg hope this helps :)
how many inches in 85937392 metres?
Answer:
3383361889.8
Step-by-step explanation:
1 meter = 39.3701 inches
85937392 x 39.3701 = 3383361889.8
Answer:
3,383,361,889.76 inches
Step-by-step explanation:
1 meter = 39.37 inches
multiply 85937392 by 39.37
answer is 3383361889.76
simplify −3x^3(−2x^2+4x−3)
Answer:
Step-by-step explanation:
6x^5 - 12x^4 + 9x^3
(-3x^3*(-2x^2) - 3x^3(4x) - 3x^3(-3)
40 as a product of its prime factor can be written like this 40=2x2x2x5 write 60 as a product of its prime factor write in order smallest to larges
Answer:
2^2x3x5
Step-by-step explanation:
Is 1.273 15688 natural number an integer a whole number a rational number
Answer:
It's rational number
Step-by-step explanation:
Natural numbers are the positive integers also known as whole numbers.
What is the value of y in the equation 6.4x + 2.8y = 44.4, when x = 3? y = 5 y = 6 y = 8 y = 9
Answer:
9
Step-by-step explanation:
6.4x + 2.8y = 44.4
x=3, substituting it in the expression above we have :
6.4(3) + 2.8y = 44.4
19.2 + 2.8y = 44.4
2.8y = 44.4 -19.2 = 25.2
y = 25.2 / 2.8 = 9
Answer:
y=9
Step-by-step explanation:
6.4x + 2.8y = 44.4
x=3, y=?
6.4*3+2.8y= 44.42.8y= 44.4- 19.22.8y= 25.2y= 25.2/2.8y= 9Create a problem using the Pythagorean theorem. Then, solve the problem you’ve created showing all steps.
Answer:
Draw a right triangle and name it ABC- C is your right angle. A is the angle above C and B is the angle on the side of C. AC=12 and CB=5, you have to find AB using the Pythagorean Theorem.
Step-by-step explanation:
Using the Pythagorean Theorem you say:
AB²=AC²+CB²
AB²=12²+5²
AB²=144+25
AB²=169
AB=√169
AB= 13
How much glass is needed to make the given cup below, if it has a height of 6 inches and a radius of 1.5 inches
Answer:
[tex]31.5\pi[/tex]
Step-by-step explanation:
Using the formula given, you can find that the surface area of the glass is:
[tex]2\pi r^2 h+ 2\pi r^2= \\\\2\cdot \pi \cdot 1.5^2 \cdot 6+2\cdot \pi \cdot 1.5^2=\\\\27\pi + 4.5\pi=\\\\31.5\pi[/tex]
Hope this helps!
Expand and simplify
n(6 + n) =
Answer:
n²+6n
Step-by-step explanation:
n(6 + n) = 6n+n²= n²+6n
You roll a twelve-sided die (having values one through twelve on its faces). What is the probability that the value of the roll will be a composite number?
show work pls!
help pls!
Step-by-step explanation:
Probability
Probability is a measure of the likelihood that an event will happen.
When dealing with probability, the outcomes of a process are the possible results. For example, when a die is rolled, the possible outcomes are 1, 2, 3, 4, 5, and 6. In mathematical language, an event is a set of outcomes, which describe what outcomes correspond to the "event" happening. For instance, "rolling an even number" is an event that corresponds to the set of outcomes {2, 4, 6}. The probability of an event, like rolling an even number, is the number of outcomes that constitute the event divided by the total number of possible outcomes. We call the outcomes in an event its "favorable outcomes".
Probability =
please help, i am not good at maths, brainiest will be given
Answer:
Modal average is the number that appears the most
Modal average: 3
1+2+3+4+5=15
15/3= Mean: 3
Step-by-step explanation:
add all the bedrooms and divide that sum by the number of numbers added. That's the mean.
Hope this helps.
A) 4 is the mode of the table
B)
1+2+3+4+5=15
15/5=3
Stanley has drawn a right angle triangle. One side is 14cm and another is 18cm. There are two possible lengths for the third side. What are they?
Answer:
2V130 , 8V2
Step-by-step explanation:
If these are cahetus
x^2=14^2+18^2=196+324=520
x=V520=2V130
if 18 is not a cathetus then
18^2=x^2+14^2
x^2=18^2-14^2
x^2=324-196=128
x=V128
x=8V2
PLEASE ANSWR ASAP FOR BRAINLIEST!!!!
Answer:
x = 33
Step-by-step explanation:
The sum of the angles of a triangle are 180 degrees
x+114+33 = 180
Combine like terms
x+147 = 180
Subtract 147 from each side
x+147-157 = 180-147
x = 33
Answer:
x=33
Step-by-step explanation:
The interior angles of a triangle must add up to 180 degrees. Therefore, the 3 angles inside the triangle should add to 180.
x+114+33=180
Combine like terms by adding 114 and 33
x+147=180
In order to solve this equation, we must get x isolated. Perform the inverse operation to both sides.
x+147=180
147 is being added on to x. The inverse of addition is subtraction. Subtract 147 from both sides.
x+147-147=180-147
X=180-147
x=33
x is equal to 33 degrees.
Retro Recyclers processes used plastics into milk containers and soda containers. The recycling plant can process up to 2000 tons of plastic a week. At least 900 tons must be processed for milk containers and at least 600 tons must be processed for soda containers. Retro earns $35 per tons for milk containers and $28 per ton for soda containers. Retro wants to figure out how many tons of plastic should be allocated for milk containers and how many tons for soda containers in order to maximize its weekly profit.
Define the variables, write the constraints, and write the objective function for this situation.
Answer:
Objective function:
Maximize profit P = [tex]35x+28y[/tex]
subject to following constraints:
[tex]x\geq 900\\y\geq 600[/tex]
[tex]x+y\leq 2000\\x\geq 0\,,\,y\geq 0[/tex]
Step-by-step explanation:
Given: The recycling plant can process up to 2000 tons of plastic a week. At least 900 tons must be processed for milk containers and at least 600 tons must be processed for soda containers.
Also, Retro earns $35 per tons for milk containers and $28 per ton for soda containers.
To find: objective function for the given situation
Solution:
Let x tons be used to make a milk container and y tones be used to make a soda container.
As at least 900 tons must be processed for milk containers and at least 600 tons must be processed for soda containers,
[tex]x\geq 900\\y\geq 600[/tex]
Also, as the recycling plant can process up to 2000 tons of plastic a week,
[tex]x+y\leq 2000[/tex]
Also, [tex]x\geq 0\,,\,y\geq 0[/tex]
Objective function:
Maximize profit P = [tex]35x+28y[/tex]
Planes Q and R intersect. Lines d and c are vertical on plane R and form a right angle with line B on plane Q. Line B is horizontal on plane Q. Line a is slightly diagonal on plane Q.
In the diagram, the only figure that could be parallel to line c is
line a.
line b.
line d.
plane Q.
Answer:
C. line d
Step-by-step explanation:
Two parallel lines are lines that do not meet even with continuous extension of their length. While two lines are perpendicular when they form a right angle to each other at the point where they meet.
In the given question, the only figure that would be parallel to line c is line d. Line a is not parallel to line c (since it is slightly diagonal, it would intersect line c at a point) and line B is perpendicular to line c (since it is horizontal to plane Q), same as plane Q. So that lines c and d are parallel to each other.
Answer:
C. Line D
Step-by-step explanation:
Just took the test and got it right