Answers
The algebraic expression is (3 - 2 - 13) and simplification of the expression is -12
For simplification we have to first write the expression as given in word form and then simplify according to the algebraic rule
Given expression is 3 more than sum of -2 and -13
we will write the given expression in algebraic form as follows:
i.e. 3 + (-2) +( -13)
i.e. 3 - 2 - 13
i.e. 3 - 15
i.e. -12
Final answer: the simplification of the given expression is -12 and algebraic expression is (3-2-13)
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Related Questions
2. Which expression is not equal to the
number 0?
5-5
-7+7
6-(-6)
-8- (-8)
Answers
I hope this helps! :)
(30 POINTS) During the first year with a company, Finley was paid an annual salary of $59,000, with an 8% raise for each following year. Which equation represents Finley's annual salary, f (n), during the nth year?
f (n) = 59,000(1.08n – 1)
f (n) = 59,000(0.08n – 1)
f (n) = 59,000(1.08n)
f (n) = 59,000(0.92n)
Answers
Answer:
f(n) = 59,000(1.08m - 1)
Step-by-step explanation:
Judith has just become eligible to participate in her company’s retirement plan. Her company does not match contributions, but the plan does average an annual return of 12%. Judith is 40 and plans to work to age 65. If she contributes $200 per month, how much will she have in her retirement plan at retirement?
Answers
Answer:
She will have $375,769.33 in her retirement plan at the time of retirement.
Explanation:
The future value of an annuity is the value of a group of recurring payments at a certain date in the future, assuming a particular rate of return or discount rate.The higher the discount rate, the greater the annuity's future value.According to the question,
Periodic Payments(P) = $200
Rate of Return(r) = 12%(annual)
[tex]=\frac{12}{12}%[/tex]
= 1% monthly
= 0.01
Number of payments(n) = 65 - 40
= 25(annual)
= 25 × 12 monthly
= 300 monthly
Future value =?
The formula for calculating future value is:
Future Value = [tex]P[\frac{(1+i)^{n}-1 }{i}][/tex]
= [tex]200[\frac{(1+0.01)^{300}-1 }{0.01}][/tex]
= [tex]200[\frac{19.7884663-1}{0.01}][/tex]
= 200[1878.84663]
= 375,769.326
= 375,769.33
Final Answer:
Therefore, the future value of her retirement when she retires is
$ 375,769.33 .
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Pls answer this I will mark the brainliest
A basket of fruits, which is on a top of a 1.5m high table has a GPE of 44.12. What is the mass of the basket of fruits?
Answers
Answer:
Mass of the basket of fruits ≈ 3 kg
Step-by-step explanation:
Gravitational Potential Energy is the energy stored in an object as a result of its height.
The formula is
GPE = m . g . h where m = mass, g = gravitational force (9.8 N/kg) and h = height (All measures are in metric system)
Therefore m = GPE/(g.h)
Here GPE = 44.12 and h = 1.5m
mass = 44.12 ÷ (9.8 x 1.5) = 44.12 ÷ 14.7 ≈ 3 kg
A group of people were asked if they had run a red light in the last year. 449 responded "yes", and 298
responded "no".
Find the probability that if a person is chosen at random, they have run a red light in the last year.
Give your answer as a fraction or decimal accurate to at least 3 decimal places
Answers
Now, we know how many people voted 747
To find the probability of a person chosen at random, to which they have ran a red light is 449/747 or 0.601
Alguien sabe como calcular esto de binario a decimal?
Answers
11 00 11 00 = 204
nice :)
for all values of x, f(x)=x/5 +3
Answers
Answer:
f(g(x)) = 2x² + 4
Step-by-step explanation:
to evaluate f(g(x)) substitute x = g(x) into f(x) , that is
f(g(x))
= f(10x² + 5)
= [tex]\frac{10x^2+5}{5}[/tex] + 3
= [tex]\frac{10x^2}{5}[/tex] + [tex]\frac{5}{5}[/tex] + 3
= 2x² + 1 + 3
= 2x² + 4
Which expression is the completely factored form of 27x³ +y6 ?
O (3x - y²) (9x² + 3xy² + y4)
○ (3x + y²)³
O (3x + y²) (9x² - 3xy² + y¹)
O (3x + y²) (9x² + y¹)
Answers
Step-by-step explanation:
[tex]27 {x}^{3} + {y}^{6} \\ = (3x + {y}^{2} )(9 {x}^{2} - 3x {y}^{2} + {y}^{4} )[/tex]
If you want to know how it's done ask me!
The long hand of a clock turns from 2:00pm to 2:15pm. What part of a turn did the long hand make?
Answers
Answer: A quarter turn
Step-by-step explanation:
In a survey of 1010 investors, it was determined that 650
invested in stocks, 595 in bonds and 340 in both stocks and
bonds.
a. How many invested in only stocks?
b. How many invested in stocks or bonds?
c. How many did not invest in either stocks or bonds?
Answers
HELP ASAP 10 POINTSSSS
What is the value of 6m - 4n when M=4 and N=2.
MUST SHOW YOUR WORK PLEASE
Answers
Answer:
16
Step-by-step explanation:
Substitute m for 4 and n for 2
6(4)-4(2)
next multiply
6*4=24 and 4*2=8
now subtract
24-8=16
Answer:
Step-by-step explanation:16 6 times 4 =24 and 4 times 2 = 8 24 minus 8 = 16
A sample of 10 NCAA college basketball game scores provided the following data. Winning Team
Answers
4. The table represents a proportional relationship. Find the constant of proportionality and write an equation to represent the relationship. (Lesson 2-4) a 2 3 10 12 y Equation: y = W|N 2 3 1 10 3 4 Constant of proportionality:
Answers
4 and 3.14 are the constant of proportionality .
What does the arithmetic word proportional mean?
In mathematics, proportionality denotes a linear relationship between two quantities or variables. Both quantities increase in size when one doubles, and both decrease in size when one drops to a tenth of its original value.There is a correlation between the quantity of fuel we put in our car's tank and the price we will have to pay when we fill it up. In other words, we will pay more money the more gas we put in.2×4 = 8
2×3.14=6.28
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A line has a slope of 1/6 and passes through the point (-9, -8). What is its equation in point- slope form?
Answers
Answer:
y+8=1/6(x+9)
Step-by-step explanation:
point slope: y - y1 = m ( x - x1 )
use the point and the slope and plug in the values in the point slope equation
what are the ordered pairs of y=3x-5
Answers
Infinitely many others are possible.
=================================================
Explanation:
Replace x with 0 and simplify to get...
y = 3x-5
y = 3(0)-5
y = 0-5
y = -5
When x = 0, it leads to y = -5
One ordered pair is (x,y) = (0, -5)
Let's repeat those steps for x = 1
y = 3x-5
y = 3(1)-5
y = 3-5
y = -2
Another ordered pair is (1, -2)
As you can see, we can pick anything we want for x to get some paired y output. There are infinitely many x values to pick from. This means there are infinitely many ordered pairs for (x,y).
When it comes to graphing, you only need two points at minimum to form a straight line.
The vertex of this is at parabola is at (-1, -3). Which could be its equation?
Answers
Answer:
What are the options I can choose from?
Step-by-step explanation:
let P(A)=0.65, P(B)=0.30, and P(AIB)=0.45
a. calculate P(AnB).
b. calculate P(AUB).
c. calculate P(BA)>
Answers
The probability will be:
a. P(AnB) = 0.195
b. P(AUB). = 0.95
c. P(BA) = 0.65
How to calculate the probability?P(A)=0.65
P(B)=0.30
P(AIB)=0.45
The probability of the values based on the information will be:
1. P(AnB)
= 0.65 × 0.30
= 0.195
2. P(AUB)
= 0.65 + 0.30
= 0.95
3. P(BA)
= P(AnB) / P(B)
= 0.195 / 0.30
= 0.65.
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An isolated agricultural country has two distinct regions: a lowland plain and an upland of rugged hills. On one unit of land on the PLAIN, a farmer can raise 10 bushels of grain or graze 10 sheep. On one unit of land in the HILLS, a farmer can raise 2 bushels of grain or graze 4 sheep.
Determine which region has the absolute advantage for sheep production. Explain your answer.
Answers
estion 5(Multiple Choice Worth 2 points)
(Laws of Exponents with Integer Exponents LC)
Which is an equivalent expression for
•*•*
°0.0*
•*•*
°0.0*
0.0)
Answers
The equivalent expression for [tex][(\frac{5}{7}) ^{2}*(\frac{1}{3} )^{-3} ] ^{-1}[/tex] is [tex](\frac{7}{5}) ^{2}*(\frac{1}{3} )^{3}[/tex] (option D)
Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).
Given: [tex][(\frac{5}{7}) ^{2}*(\frac{1}{3} )^{-3} ] ^{-1}[/tex] is the expession.
Now, multiplying (-1) power within the brackets,
=[tex](\frac{5}{7}) ^{-2}*(\frac{1}{3} )^{3}[/tex]
If power is in negative, fraction can be reciprocated to make the power positive. So,
=[tex](\frac{7}{5}) ^{2}*(\frac{1}{3} )^{3}[/tex]
Option D
Hence, the equivalent expression for [tex][(\frac{5}{7}) ^{2}*(\frac{1}{3} )^{-3} ] ^{-1}[/tex] can be written as [tex](\frac{7}{5}) ^{2}*(\frac{1}{3} )^{3}[/tex].
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The exchange rate for US dollars to Canadian dollars is 0.77. What is the value of $200 US dollars
Answers
[tex]\begin{array}{ccll} US\$&CA\$\\ \cline{1-2} 0.77 & 1\\ 200& c \end{array} \implies \cfrac{0.77}{200}~~=~~\cfrac{1}{c} \\\\\\ 0.77c=200\implies c=\cfrac{200}{0.77}\implies c\approx 259.74[/tex]
I need help nowwwe!! Please help asap
I will brainliest if you will
Answers
Answer:
Step-by-step explanation:
The domain of the function is [-3,5]
The range of the function is [-16,infinity)
X=3 is a zero of the function
X = -3 is a zero of the function
The puppy shelter where Isaac works is moving to a new building. The rooms in the new building are built to hold 6 puppies each. Isaac needs to figure out how many rooms he'll need to house a total of 78 puppies.
Use an equation to find the number of rooms Isaac needs.
Answers
The equation to find the number of rooms Isaac needs is r = 13.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
Now it is given that,
1 room holds = 6 puppies
So, 1 puppy acquire = 1/6 room
Let r be the rooms need to house a total of 78 puppies.
Therefore, 78 puppy acquire, r = 78*1/6 room
⇒ r = 78/6 room
⇒ r = 13 room
Thus, the equation to find the number of rooms Isaac needs to house a total of 78 puppies is r = 13.
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A survey of a club's members indicates that 40% own a home, 90% own a car, and 95% of the homeowners who subscribe also own a car
What is the probability that a club member owns neither a house nor a car?
Answers
The probability that a club member owns neither a house nor a car is 0.08 or 8%.
As per the survey of a club's members-
percentage of members who own a home 40% = 0.4
percentage of members who own a car → 90% = 0.9
Further, 95% of the homeowners also own a car
⇒ percentage of members who own a car as well as a home = 95% of 40%
= 95/100 x 40/100
= 3800/10000
= 0.38
Let P(A) be the probability that a member owns a home and P(B) be the probability that a member owns a car
we have,
P(A) = 0.4
P(B) = 0.9
also P(A∩B) = 0.38
we need to find the probability that a club member owns neither a house nor a car, that is, P(A'∩B')
According to the rules of probability-
P(AUB) = P(A) + P(B) - P(ANB)
⇒ P(AUB) = 0.4 +0.9 -0.38
P(AUB) = 0.92
Thus, P(A'U B') = 1 - 0.92
= 0.08
Thus, the probability that a club member owns neither a house nor a car is 0.08 or 8%.
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Shirley, Benny, and Gil have a coupon for $2.00 off a large pizza. They each pay one
third of the total after the discount. If each person pays $6, how much was the total
before the discount?
Answers
Answer:
20 dollars
Step-by-step explanation:
Because there is 3 people according to where it said the amount of names there are and they each had to pay 6 dollars. 6 x 3 is 18. That is the price after discount. The coupon is 2 dollars so 18 + 2 is 20 dollars. That is the final price.
HELP PLEASE i need help 100 points and a brainiest do not just steal the points
Answers
Answer:
which answer comment back and I will answer you I am not trying to steal your points comment back
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PLS HELP!! ILL GIVE BRAINLYEST!!
The school cafeteria serves portions of fried rice that are 140 grams each.
A. If 64 portions of rice are served, how many grams of rice would that be?
B. Write an expression for the total weight in grams of rice needed for p portions.
C. One day, the total weight of rice served was 11,340 grams. How many portions were served that day?
D. Write an expression for the number of portions served if the total rice weighed t grams
Please answer all questions
Answers
A. The grams of rice served for 64 portion is 8960 grams.
B. The expression for the total weight in grams of rice needed for p portions is 140p.
C. The portion when a total weight of 11340 grams was served is 81 portion
D. The expression for the number of portions served if the total rice weighed t grams is t / 140
How to find the expression for the number of grams served?The school cafeteria serves portions of fried rice that are 140 grams each.
A.
64 portions of rice are served. The grams of rice served is as follows:
1 portion = 140 grams
64 portions = ?
cross multiply
grams of rice served = 64 × 140
grams of rice served = 8960 grams
B.
The expression for the total weight in grams of rice needed for p portions is as follows:
total weight = 140p
C.
The portion when a total weight of 11340 grams was served is as follows:
140 grams = 1 portion
11340 grams = ?
portion = 11340 / 140
portion = 81 portion
D.
The expression for the number of portions served if the total rice weighed t grams is as follows:
portion = t / 140
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Just confused with the remainder
Answers
Answer:
its the first one
146 r 6
hope this helped! :)
Lines I and m are parallel. Find m<3 if m<5 = 38 and m<6 = 62.
100
62
80
38
Answers
Answer: 80 degrees ==> 3rd option
Step-by-step explanation:
m<5=m<2 ==> angles 5 and 2 are opposite interior angles, so they're congruent.
m<2=38 degrees
m<2+m<6+m<3=180 degrees
38+62+m<3=180
100+m<3=180
m<3=80 degrees ==> 3rd option
Solve the equation x3 = −215???
Answers
Answer
[tex]X=-\sqrt[3]{215}[/tex]
The answer is X=-5.990726
Estimate 219÷15 by first rounding each number so that it has only 1 nonzero digit.
Answers
The estimated result of 219 ÷ 15, by first rounding each number and then dividing, we get the result as 11.
We are given the expression:
219 ÷ 15
We need to estimate the result by first rounding off the digits to nearest tens and then performing division to get the answer.
So, we will first do the round off.
219 will be rounded off to 220
15 will be rounded off to 20
So, the expression will become:
220 ÷ 20
So, now performing the division, we get that:
= 11
Therefore, the estimated result of 219 ÷ 15, by first rounding each number and then dividing, we get the result as 11.
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