Answer: 24
Step-by-step explanation:
3x + 9 = 5x - 3
9 = 2x - 3
12 = 2x
x = 6
6 * 4 =24
4x = 24
To practice for a competition, Jenna swam 680 meters in the pool each day for 3 weeks. How many kilometers did Jenna swim in those 3 weeks?
Answer:
2.04 km
Step-by-step explanation:
there are 1,000 m in 1 km
she was 680 x 3 meters = 2,040 m
2,040 m = 2.04 km
Which of the following inequalities represents the graph shown below on
the real number line?
Answer:
-3 < x ≤ 1
Step-by-step explanation:
To our left, we have an unshaded circle at -3. This means that -3 is included in the possible value of x. And as such, we can say -3 < x.
To our right, we have a shaded circle at 1. This means 1 is included in the possible values of x. And as such, we can say x ≤ 1.
Thus, we can represent the two statements as one, thus:
-3 < x ≤ 1
mary ann spent $26.85 total on two new toys. She had a coupon for 1.00 off her total purchase and spend 1.75 on sales tax. Each toy cost the same amount how much did each toy cost?
Answer: $13.80
Step-by-step explanation:
Mary ann spent $26.85 total on two new toys but had a coupon for $1.00 off her total purchase. Therefore, we subtract $1.00 from $26.85. This will be:
= $26.85 - $1.00
= $25.85
Shw then spend $1.75 on sales tax. Total coat will now be:
= $25.85 + $1.75
= $27.60
Since each toy coat same amount, therefore each toy will cost:
= $27.60 / 2
= $13.80
Why is 16 the answer to 10. x / 2 - 5 = 3? I need an answer today.
Hi there!
[tex]\large\boxed{x = 16}[/tex]
x / 2 - 5 = 3
Begin by adding 5 to both sides to isolate for x:
x / 2 - 5 + 5 = 3 + 5
x / 2 = 8
Multiply both sides by 2 to have "x" alone on the left-hand side:
(x / 2) × 2 = 8 × 2
x = 16
Answer:
because if x is 16
16/2 = 8 and so on 8 - 5= 3 so that is the answer
Step-by-step explanation:
Regina is buying a new car. She sees two advertisements in the paper for the same car at two different prices from two different dealerships. Both dealers are offering a simple-interest loan for the price of the car. A photo of car includes two ads. Ad A shows the vehicle priced at twenty-four thousand two hundred dollars at six point five percent interest and an unknown number of years. Ad B shows an unknown price, at a five point three percent interest over nine years. Question 1 Part A Regina calculates that to buy the car in Ad A, the loan would ultimately cost her $41,503. Over how many years is the loan in Ad A to be paid back?
Answer:
11 years
Step-by-step explanation:
Given that:
Advert A:
Principal, p = $24,200
Interest rate, r = 6.5% = 6.5/100 = 0.065
Time, t =?
Total Repayment, A = $41,503
Using the relation :
A = p(1 + rt)
Plugging our values
41503 = 24200(1 + 0.065t)
41503 / 24200 = 1 + 0.065t
1.715 = 1 + 0.065t
1.715 - 1 = 0.065t
0.715 = 0.065t
t = 0.715 / 0.065
t = 11 years
Loan in Advert A will be paid back in 11 years
Answer:
11 years
Step-by-step explanation:
Given that:
Advert A:
Principal, p = $24,200
Interest rate, r = 6.5% = 6.5/100 = 0.065
Time, t =?
Total Repayment, A = $41,503
Using the relation :
A = p(1 + rt)
Plugging our values
41503 = 24200(1 + 0.065t)
41503 / 24200 = 1 + 0.065t
1.715 = 1 + 0.065t
1.715 - 1 = 0.065t
0.715 = 0.065t
t = 0.715 / 0.065
t = 11 years
Loan in Advert A will be paid back in 11 years
In one town, 47% of all voters are Democrats. If three
voters are randomly selected for a survey, what is the
probability that they are all Democrats?
Answer:
The probability that the all three votes are Democrats
P(X=3) = 0.1038
Step-by-step explanation:
Step(i):-
Given that the all voters are democrats
The probability that the all voters are democrats
p = 47% =0.47
q = 1-p =1-0.47 = 0.53
Step(ii):-
Let 'X' be the random variable in binomial distribution
[tex]P(X=r) = n_{C_{r} } p^{r} q^{n-r}[/tex]
The probability that the all three votes are Democrats
P(X=3) = 0.1038
n=3 and r=3
[tex]P(X=3) = 3_{C_{3} } (0.47)^{3} (0.53)^{3-3}[/tex]
[tex]P(X=3) = 1 (0.47)^{3}[/tex]
P(X=3) = 0.1038
Final answer:-
The probability that the all three votes are Democrats
P(X=3) = 0.1038
Please help, I will give brainliest, I am struggling badly.
Answer:
3rd option is the amswer
Solve this please I don’t get it
Answer:
=20 becuase you Multiply all terms by the same value to eliminate fraction denominators
Answer:
p = 20
Step-by-step explanation:
In order to solve for "p", you need to isolate p completely on one side of the equal sign. to do such, simply multiply by "4" both sides ofthe equation, to cancel out the 4 in the denominator and get:
p = 5 * 4 = 20
A trawler caught 2/3 ton of fish on Monday and 1/2 on Tuesday. What was the total amount of fish caught?
Answer:
1 1/6
Step-by-step explanation:
(1/2×3/3)+(2/3×2/2)=
3/6+4/6=
3+4/6=7/6 or 1 1/6
3+4 is the numerator over 6
A quantity with an initial value of 230 decays continuously at a rate of 7% per year. What is the value of the quantity after 8.7 decades, to the nearest hundredth?
The answer is ≈0.52
Answer:
≈0.52
Step-by-step explanation:
The value of the quantity after 8.7 decades is 0.521.
What is Exponential Growth and Decay?Exponential growth is the increase of rate of change and thus results in the increase of the final quantity.
Exponential decay is the decrease in rate of change and hence results in the decrease of the final quantity.
Given that,
Initial value of the quantity = 230
Rate of decay = 7% per year = 0.07
Time = 8.7 decades = 87 years
The formula for exponential decay is,
A = P e^(-k t)
Here A is the final value of the quantity
P is the initial value of the quantity
k is the decay rate
t is the time.
Substituting the given values,
A = 230 × e^(-0.07 × 87)
A = 230 × e^(-6.09)
= 0.521
Hence the final quantity after 8.7 decades is 0.521.
To learn more about Exponential Growth and Decay, click :
https://brainly.com/question/12490064
#SPJ5
Write the percent as a mixed number in simplest form.
168%
Answer:
1 and 17/25
Step-by-step explanation:
First, you make it into a fraction. So because percents are out of 100, it would be 168/100. Then, you take 100 out of it to get a mixed number, 1 and 68/100, and then simplify 68/100 by dividing both sides by the greatest common factor, which is 4. 68/100÷4=17/25. The answer would be 1 and 17/25.
(hope this helps :P)
C is the circle with equation x^2+y^2=1 , Q(1/2,square root of 3/2) is a point on C. The equation of the tangent to C at the point Q can be written in the form y=ax+b, find the value of a and the value of b
Answer:
a = -√3/3
b = 2√3/3
Step-by-step explanation:
x² + y² = 1
This is a unit circle.
−46x−23=46x+23 how many solutions
A local courier service estimates its monthly operating costs to be $1500 plus $0.85 per delivery. The service generates revenue of $6 for each delivery. Let x = the number of deliveries in a given month. The function C(x) = .85x + 1500 represents the operating cost. The function R(x) = 6x represents the revenue generated. Knowing that profit = revenue - cost, write a function, P(x), that represents the monthly profits for making x deliveries per month.
Answer:
P(x) = 5.15 x + 1500
Step-by-step explanation:
The monthly operating costs = $1500 plus $0.85 per delivery.
The service generates revenue= $6 for each delivery
If in a given month the deliveries number was = x then;
Operating cost function : C(x) = 0.85x + 1500
Revenue generated function R(x) = 6x
Profit = Revenue - cost
P(x) = R(x) - C(x)
P(x) = 6x - 0.85x + 1500
P(x) = 5.15 x + 1500
A cylinder has volume 727 and radius 3. What is its height?
Answer:
height = 25.71
Step-by-step explanation:
A triangle is equilateral if
sides are the same length.
I need help please
Answer:
all 3
Step-by-step explanation:
PLEASE HELP: WILL AWARD 45 POINTS!! Which option identifies all the bonds broken during this chemical reaction
Answer:chemical bonds between atoms are formed or broken. The substances that go into a chemical reaction are called the reactants, and the substances produced at the end of the reaction are known as the products.
Answer:
During a chemical bond the intermolecular forces are the one that break and form new bonds.Bianca has a bathroom in her house that needs new floor til. She wants to purchase new tile herself in order to save money but she doesn't know how much to buy or how much it will cost. Help Bianca figure out how much new tile to purchase and how much is going to cost?
Answer:
Total Area = 84 feet
Step-by-step explanation:
Triangle = 1/2 (3 × 4) = 12/2 = 6 ft
Rectangle 1 = 7 × 4 = 28 ft
Rectangle 2 = 5 × 10 = 50 ft
Total Area = 6ft + 28ft + 50ft = 84ft
13. There were 120 books on shelf last month, and there are currently 250 books on shelf this month.
What is the percent of change in number of books on shelf from last month to this month?
Answer:
the answer should be 108.5%
rewrite v (f) -2 = e so that you are solving For v
Answer:
dy/dx = y - 4x/x - y = x (y/x - 4)/x (1 - y/x) = phi (y/x) therefore dy/dx = y/x - 4/1 - y/x - (A)
Step-by-step explanation:
Pls help I need a good grade
Answer:
Carl is B
Paul is A
Step-by-step explanation:
Answer:
Paul Broca - A
Carl Wernicke - B
Step-by-step explanation:
I need help which triangle theorem do I use for these
Answer:
Step-by-step explanation: B. SSS because it shows us three sides ,C.RHS because it has a right angle, d. AAS because it shows us two sides and a non included side, e. RHS because it has a right angle, f. AAS because it has two angles and non included side.
A petri dish of bacteria grow continuously at a rate of 200% each day. If the petri dish began
with 10 bacteria, how many bacteria are there after 5 days? Use the exponential growth
function f(t) = ger and give your answer to the nearest whole number. Show your work.
Need the answer ASAP
Answer: 2430 bacteria.
Step-by-step explanation:
When we have a quantity A, and we have an increase of the X%, the new quantity can be written as:
A + (X%/100%)*A
In this case, we have A = 10 bacteria.
And X% = 200%.
Then if we start with 10 bacteria.
After one day, we will have:
10 bacteria + (200%/100%)*10 bacteria
= 10 bacteria + 2*10 bacteria = 3*10 bacteria.
After another day, we will have:
3*10 bacteria + (200%/100%)*(3*10 bacteria)
3*10 bacteria + 2*(3*10 bacteria)
3*(3*10 bacteria)
10 bacteria*(3)^2
We already can see the pattern here.
After t days, we will have:
10 bacteria*(3)^t.
This is the equation f(t) we wanted:
f(t) =10 bacteria*(3)^t
after 5 days, we will have:
f(5) = 10 bacteria*(3)^5 = 2430 bacteria.
PLEASE HELP, WILL MARK BRAINILEST
Answer:
I would say B is the answer
helppppp pls lollll plsssssssss
You are running a consention stand at a concersion stand at a basketball game. you are selling hot dogs and sodas. Each soda is $0.50 and each hotdog is $1.50. At the end of the night you sold $78.50. How many hot dogs and soda each did you sell?
Answer:
38
Step-by-step explanation:
Help please ASAP
In Problems 41-52, the graph of an equation is given. (a) Find the intercepts. (b) Indicate whether the graph is symmetric with respect to
the x-axis, the y-axis, the origin or none of these.
41. A
42. A
43. B
44. B
45. A
46. A
47. B
48. A
49. A
50. A
51. B
52. B
Find the solution of the system of equations.
- 2x - 5y=-12
10x - 4y = 2
Answer:
[tex]x=1, y=2[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}-2x-5y=-12\\ 10x-4y=2\end{bmatrix}[/tex]
Isolate x for [tex]-\:2x\:-\:5y=-12[/tex]
[tex]-\:2x\:-\:5y=-12[/tex]
Add 5y to both sides.
[tex]-2x-5y+5y=-12+5y[/tex]
Simplify.
[tex]-2x=-12+5y[/tex]
Divide both sides by 2.
[tex]x=-\frac{-12+5y}{2}[/tex]
Substitute x for [tex]-\frac{-12+5y}{2}[/tex].
[tex]\begin{bmatrix}10\left(-\frac{-12+5y}{2}\right)-4y=2\end{bmatrix}[/tex]
Simplify.
[tex]\begin{bmatrix}-29y+60=2\end{bmatrix}[/tex]
Isolate y for [tex]-29y+60=2[/tex]
[tex]y=2[/tex]
Substitute y in [tex]-\frac{-12+5y}{2}[/tex] for 2.
[tex]x=-\frac{-12+5\cdot \:2}{2}[/tex]
Simplify.
[tex]x=1,\:y=2[/tex]
Please vote me Brainliest if this helped!
PLEASE ANSWER ASAP! 25 POINTS!
Eric and his friends went to Burger King. They bought french fries and burgers for the movies. French fries cost $3 each, burgers cost $9 each. They spent a total of $102, and they bought a total of 16 items. Find out how many orders of french fries and burgers they bought.
Answer:
Burgers: 12
French Fries: 34
Step-by-step explanation:
Factor the expression step by step : x^3 - x^2
Answer: x²(x-1)
Step-by-step explanation:
x³ - x²
= x²(x-1)
Hope it helps you