Answer:
The inequality that represents the scenario is: 6x+10y≥300.
Step-by-step explanation:
With the information provided, you can say that the amount raised in ticket sales would be equal to the result of multiplying the price per ticket sold in advance for the number of these tickets sold plus the result of multiplying the price per ticket sold at the door for the number of these tickets sold. Also, you know that the result of this has to be greater than or equal to 300 and the scenario can be expressed as:
6x+10y≥300, where
x is the amount of tickets sold in advance
y is the amount of tickets sold at the door
$3000 is invested for a period of 3 years at a rate of 6% compound monthly. What will the balance in the account be at the end of 3 years?
Answer:
Hence, the total amount of money that the investor would have after 6 years will be $ 536.04 .
Step-by-step explanation
Answer:
Interest = $3573.048
Step-by-step explanation:
Given: $3000 is invested for a period of 3 years at a rate of 6% compound monthly. What will the balance in the account be at the end of 3 years?
The formula to compound interest is:
I = P(1 + R)^T
First, put in the terms:
I = $3000(1 + 6%)^3
Then calculate:
I = $3000(1 + [tex]\frac{6}{100}[/tex])^3
I = $3000(1 + 0.06)^3
I = $3000(1.06)^3, 1.06^3 = 1.191016
I = $3000 x 1.191016
I = $3573.048
Twenty seven decreased by three times a number is the same as 7 times the sum of the number plus 1. What is the number?
Answer:
2.6
Step-by-step explanation:
Let the number be x
27-3x= 7x+1
26=10x
x=2.6
can someone pls help i will mark u brainliest!? :)
Answer:
28.5
Step-by-step explanation:
Plzz mark brainlies thanks!!
A line passes through (2,4) and (-2,2)
a)Find the value of y if (6,y) lies on the
plane
b)Does this line pass through the point of
origin?
c)Does this tine intersect with the line
V=-X+32
d)lf your answer was yes in b, in which
quadrant did they intersect?
Answer:
a) The value of [tex]y[/tex] is 6.
b) This line does not pass through the point of origin.
c) [tex]y = \frac{1}{2}\cdot x + 3[/tex] intersects with [tex]y = -x+32[/tex].
d) Both [tex]y = \frac{1}{2}\cdot x + 3[/tex] and [tex]y = -x+32[/tex] intersect in the first quadrant.
Step-by-step explanation:
a) By Analytical Geometry, we know that an equation of the line can be found by knowing the coordinates of two distinct points on the plane. The equation of the line is defined by this formula:
[tex]y = m\cdot x + b[/tex] (1)
Where:
[tex]x[/tex] - Independient variable.
[tex]y[/tex] - Dependent variable.
[tex]m[/tex] - Slope.
[tex]b[/tex] - x-Intercept.
To determine the slope and x-intercept of the equation of the line, we have to solve the following system of linear equations:
[tex]m\cdot x_{1}+b = y_{1}[/tex] (2)
[tex]m\cdot x_{2}+b = y_{2}[/tex] (3)
If we know that [tex](x_{1}, y_{1} ) = (2,4)[/tex] and [tex](x_{2}, y_{2}) = (-2, 2)[/tex], then the solution of the system is:
[tex]m = \frac{1}{2}[/tex], [tex]b = 3[/tex]
Then, the equation of the line is [tex]y = \frac{1}{2}\cdot x + 3[/tex]. If we know that [tex]x = 6[/tex], then the value of [tex]y[/tex] is:
[tex]y = 6[/tex]
The value of [tex]y[/tex] is 6.
b) If this line passes through the point of origin, then the value of [tex]y[/tex] must be zero for [tex]x = 0[/tex]. If we know that [tex]y = \frac{1}{2}\cdot x + 3[/tex] and [tex]x = 0[/tex], then the value of [tex]y[/tex] is:
[tex]y = 3[/tex]
The line does not pass through the point of origin since x-intercept is not zero.
c) A system of two linear equations always has an unique solution if and only if slopes and x-intercepts are different to each other. This condition is satisfied by [tex]y = -x+32[/tex], so we conclude that both lines intersect each other.
d) (Note: Question was incorrectly written. Correct form is: If your answer was yes in c, in which quadrant did they intersect?)
First, we solve the following system of linear equations:
[tex]\frac{1}{2}\cdot x -y = -3[/tex] (4)
[tex]-x-y = -32[/tex] (5)
The solution of this system is [tex](x,y) = (19.333, 12,667)[/tex], which means that both lines intersects each other in the first quadrant.
I NEED THIS DONE TODAY WHOEVER GETS THIS CORRECTS GETS BRAINLIEST!!!!
PLZZZ HELPP MEEE!!!!!
Answer:
A
fejeiniwbStep-by-step explanation:
my Feb H2 hd ECU TF2 ACTH GVC ect 5th of T2 te BG f
Answer:
A. 5.25 miles or 5 1/4 miles
B. 4.75 miles or 4 3/4 miles
C. 5.75 miles or 5 3/4 miles
Step-by-step explanation:
I counted every small line and then multiplied by 1/4
Poppy has one bag of beads. She is going to make three difference necklaces.
For the first necklace, she needs 3/8 of a bag of beads. For the second, she
needs 1/8 of a bag of beads. For the third, she needs 5/8 of a bag. What
fraction of a bag of beads does she need? Does she have enough? Explain.
Answer:
9/8 of a bag
she doesn't have enough beads.
Step-by-step explanation:
Bag of bead poppy has = 1
Bag of bead needed for necklace 1 = 3/8 of a bag
Bag of bead needed for necklace 2 = 1/8 of a bag
Bag of bead needed for necklace 3 = 5/8 of a bag
Total bag of beads needed = 3/8 + 1/8 + 5/8
= (3+1+5)/8
= 9/8
She needs 9/8 of a bag of bead
9/8 = 1 1/8
Therefore, she doesn't have enough beads.
Pleaseeeeee helpppppp fasttttttt 11 pointssss
Answer:
x = 9
m∠1 = m∠2 = 54°
Step-by-step explanation:
Two lines r and s are the parallel lines and a transversal line is intersecting these lines at two distinct points.
a). ∠1 ≅ ∠2 [Corresponding angles]
Therefore, m∠1 = m∠2
(63 - x)° = (72 - 2x)°
2x - x = 72 - 63
x = 9
b). m∠1 = (63 - x)°
= 63 - 9
= 54°
m∠2 = (72 - 2x)°
= 72 - 18
= 54°
(15 Points!!!) What is the length of side A in centimetres?
A. 1/6
B. 1/2
C. 2
D. 6
The length of side A in centimeters is 6cm
D. 6
PLZ HELP WILL GIVE BRAINLIST IF CORRECT: Mamadou answered 77 questions correctly on his multiple choice math final that had a total of 140 problems. What percentage of questions did Mamadou answer correctly on the final exam?
Answer:
55%
Step-by-step explanation:
alright so put that in a fraction 77/140 now divide them to get 0.55. Move that decimal over to the right twice and you get 55%.
Answer:
55%
Step-by-step explanation:
77 divided by 140 is 0.55, multiply that by 100 and get 55%.
PLZZ plzz, give brainliest
How does the graph of the
function g(x) = 3x + 4 differ from
the graph of f(x) = 3X?
It is moved (a). unit(s) (b)
Answer:
Math (way) is good if you wanna try that.
ee
Step-by-step explanation:
Answer:
the graph of f(x) = 7x. 3x + 4 = 7x
help me please!!!!!!!
Answer:
16/6= 0.375
Step-by-step explanation:
Imperialism can be defined as:
A. the adoption of a new government with a Prime
Minister.
B. a system of humanitarian efforts to support a country.
C. a policy of extending a country's power and influence
through diplomacy or military force.
A water hose discharge water at a rate of 180 gallons for every 12 minutes. Which graph has a slope that best represents this rate?
Answer:
D
Step-by-step explanation:
I guess because the line has to get to 12 minutes by 180 on the y axis so the only possible one for that to happen with is D
Answer:
graph D
Step-by-step explanation:
it shows 90 gallons in 6 minutes- which is the same rate as 180 gallons in 12 minutes
Help me with this please
Answer:
Slope is equal to the change in y over the change in x , or rise over run.
m=change in y/ change in x
The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).
m=y2−y1/x2−x1
Substitute in the values of x and y into the equation to find the slope.
m=0−(2)/9−(5)
Simplify.
m=−12
Step-by-step explanation:
Answer: (7, 1)
Midpoint formula = ([tex]\frac{x1 , x2}{2}[/tex] , [tex]\frac{y1, y2}{2}[/tex])
5 + 9 / 2 = 7
2 + 0 / 2 = 1
Here are two squares, A and B. A B The length of each side of square B is 4cm greater than the length of each side of square A. The area of square B is 70cm2 greater than the area of square A. Find the area of square B. Give your answer correct to 3 significant fi
Answer:
La²+8La+16 = La²+70
Step-by-step explanation:
8La+16 = 70
8La=70-16
La=54/8
La= 6.75
Area b = (6.75+4)*(6.75+4)
Area b = 10.75*10.75
Area b =115.563
The area of a square is the square of its side lengths
The area of square B is 116 centimeter square
Let the side length of square A be (a), and the side length of square B be (b)
So, we have:
[tex]\mathbf{A_a = a^2}[/tex]
[tex]\mathbf{A_b = b^2}[/tex]
From the question, we have:
[tex]\mathbf{A_b = 70 + a^2}[/tex]
[tex]\mathbf{b = 4 + a}[/tex]
Take square of both sides
[tex]\mathbf{b^2 = (4 + a)^2}[/tex]
[tex]\mathbf{b^2 = 16 + 8a+ a^2}[/tex]
Substitute [tex]\mathbf{b^2 = 16 + 8a+ a^2}[/tex] in [tex]\mathbf{A_b = b^2}[/tex]
[tex]\mathbf{A_b = 16 + 8a+ a^2}[/tex]
So, we have:
[tex]\mathbf{16 + 8a+ a^2 = 70 + a^2}[/tex]
Subtract a^2 from both sides
[tex]\mathbf{16 + 8a = 70}\\[/tex]
Subtract 16 from both sides
[tex]\mathbf{8a = 54}[/tex]
Divide both sides by 8
[tex]\mathbf{a = 6.75}[/tex]
Recall that:
[tex]\mathbf{A_b = 70 + a^2}[/tex]
So, we have:
[tex]\mathbf{A_b = 70 + 6.75^2}[/tex]
[tex]\mathbf{A_b = 115.5625}[/tex]
Approximate
[tex]\mathbf{A_b = 116}[/tex]
Hence, the area of square B is 116 centimeter square
Read more about areas at:
https://brainly.com/question/1658516
Write a polynomial with 5 terms in standard form.
Identify the leading coefficient and the degree of the polynomial and name the polynomial.?
Answer:
Step-by-step explanation:
5x⁴ - 2x³ + 12x² + 24x - 26
Degree = 4
Leading term = 5x⁴
Leading coefficient = 5
Six of the nine students are from Middle Georgia State College. What is the probability that both of the interviewed students are from Middle Georgia State College? Express your answer as a reduced fraction or decimal rounded to at least four decimal places.
Answer: 5/12
Step-by-step explanation:
Six of the nine students are from Middle Georgia State College.
The probability that the first student that's interviewed is from Middle Georgia State College will be 6/9.
Now, when the second student is picked, there'll be 8 students left out of which 5 will be from Middle Georgia State College. Therefore, the probability of choosing someone from there is 5/8.
Now, the probability that both of the interviewed students are from Middle Georgia State College will be:
= 6/9 × 5/8
= 2/3 × 5/8
= 10 / 24
= 5/12
A wall is 15 ft. High and 10 ft. From a house. Find the length of the shortest ladder which will just touch the top of the wall and reach a window 20.5 ft. Above the ground.
Answer:
the length of the shortest ladder is 11.41 feet
Step-by-step explanation:
The computation of the length of the shortest ladder is shown below:
AB^2 = AC^2 + BC^2
AB^2= (10)^2 + (5.5)^2
AB^2= 100 + 30.25
AB^2 = 130.25
AB = 11.41 feet
hence, the length of the shortest ladder is 11.41 feet
Express 90 as the product of its prime factors.
Write the prime factors in ascending order.
|
I
Answer:
fafafasda
Step-by-step explanation:
wdwasdsa wr 1+11123121
The first term in a sequence is 13. The term to term rule is "take away 5" write an expression in terms of n , for the nth term of the sequence
9514 1404 393
Answer:
an = 13 -5(n -1)
Step-by-step explanation:
The "take away 5" rule means the common difference between terms is d=-5. For first term a1=13, the n-th term is ...
an = a1 +d(n -1)
an = 13 -5(n -1)
At his new job, Jeremiah can choose an hourly rate of $9 plus a $50 weekly bonus for opening the store, or an hourly rate of $10 per hour with no opening bonus. The equations model his salary options.
y = 9x + 50
y = 10x
What does x represent?
the number of times he opened the store
the number of hours worked per week
the total amount he earns each week
the amount of money earned per day
Answer:
The correct option is B
Step-by-step explanation:
just did the test on Ed.
y = 3x + 12
when x= 4
y=3(4)+12
y=12+12
y=24
---
hope it helps
Answer:
24
Step-by-step explanation:
3 * 4 + 12
= 12 + 12
= 24
This is your answer :)
4. Which of these answers are obviously incorrect?
Use estimates to identify them. Show how you estimated the answers.
a) 37 x 21 = 777
b) 6 091 = 33 = 1 845
c) (816 +214) = (103 + 419) = 1,97
d) 11 X 603-3 x 240 = 519
Answer:
b
Step-by-step explanation:
it's obvious that 33 can't equal two other numbers.
This time, if you get explaination, i will give brainliest to whoever is the first to get this question right -> What is 5^3
Answer:
5^3 = 125
Step-by-step explanation:
The caret(^) is a symbol used to indicate exponentiation. So, you simplify 5 raised to the 3rd power, which is 125.
The bar graph shows the recommended number of hours of sleep for each age group.
How many hours of sleep are recommended for elementary-age children?
A. exactly 9 hours
B. exactly 10 hours
C. about 10 hours
D. about 12 hours
Answer:
Step-by-step explanation:
c
There are 12 colored pencils in a jar, and 3 of them are red. What percentage of colored pencils are red
Answer:
25% are red
Step-by-step explanation:
The fraction of the pencils that are red is
3/12 = 1/4
Changing to decimal form
.25
Multiply by 100 to get a percent
.25 * 100
25%
ill mark brainlisr pls help
Answer:
$12.00
Step-by-step explanation:
6% off $199 =
6% × $199 = $11.94
$11.94 is rounded or estimated to $12.00
barrys moutain bike weighs 6 pounds more than andys bike. if there bikes weigh 42 pounds altogether how much does barrys bike weigh.
Answer:
24lbs
....................
Answer:
24 pounds
Step-by-step explanation:
)tion 10-LighteIn the diagram, ZADC is a
central angle and
MZADC = 60°. What is
MZABC?
I
с
go to (2,0)
a) 15°
b) 30°
c) 60°
d) 120°
go to (3, 1)
go to (-4, 2)
go to (0,5)
Answer:
B
Step-by-step explanation:
Angle b is a inscribed angle while Angle D is a central angle so
Angle B is half of Angle D.
Angle D measure 60 degrees.
1/2*60=30
Angle B=30
B is the measure
Elsa has two coupons for a jacket coupon a: 45% off a $73 jacket coupon B: $30 rebate off $73 jacket which coupon has a lower price
Answer: 45% off a $73 jacket coupon
Step-by-step explanation:If you multiply 45% by 73 (.45 x 73) you get $32.85.. which means that is how much money would be reduced from the original price. If you have have a $30 rebate off a $73 jacket, you would be paying a higher price if you used the rebate instead of the coupon