Answer:
The student council needs to sell a minimum number of 107 tickets to reach their goal.
Step-by-step explanation:
The student council needs to raise $400 with each ticket costing $4. As such, the number of tickets that need to be sold is
$400/$4 = 100
Easy, right?
But Hold On
The student council also spent $25 on decorations, so they need to make that back too. Thus, they need to sell an additional amount of tickets of
$25/$4 = 6.25
Since you can't sell 0.25 of a ticket though, round the answer up to 7.
So the overall total number of tickets that must be sold is 107.
Answer: They need to sell 107 tickets.
Step-by-step explanation:
4x-25>=400
+25 +25
4x>=425
/4 /4
x>=106.25
since they can’t sell .25 of a ticket, they need to sell 107 tickets at least.
Write an equation of the line, in point-slope form, that passes through the two given points. points: (-3,18). (12,-12)
Answer:
y = -2x + 12
Step-by-step explanation:
First, find the slope using rise over run (y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(-12 - 18) / (12 + 3)
-30 / 15
= -2
Then, plug this and a point into y = mx + b and solve for b:
y = mx + b
-12 = -2(12) + b
-12 = -24 + b
12 = b
Then, plug in the slope and b into y = mx + b
y = -2x + 12 is the equation of the line
can you help me with this i dont get it
Explanation
\(2x^2-3xy+y^2\text{ multiplied by 2x-4y}\)
Step 1
Apply distributive property
\(\begin{gathered} (2x^2-3xy+y^2)\cdot(\text{ 2x-4y)}=(2x^2-3xy+y^2)(2x)+(2x^2-3xy+y^2)(-4y) \\ (2x^2-3xy+y^2)\cdot(\text{ 2x-4y)}=4x^3-6x^2y+2xy^2-8x^2y+12xy^2-4y^3 \end{gathered}\)Step 2
Add similar terms
\(\begin{gathered} 4x^3-6x^2y+2xy^2-8x^2y+12xy^2-4y^3 \\ 4x^3-14x^2y+14xy^2-4y^3 \\ \end{gathered}\)then, the answer is
option D)
Trina has a credit card that uses the adjusted balance method. For the first 10
days of one of her 30-day billing cycles, her balance was $780. She then
made a purchase for $170, so her balance jumped to $950, and it remained
that amount for the next 10 days. Trina then made a payment of $210, so her
balance for the last 10 days of the billing cycle was $740. If her credit card's
APR is 17%, which of these expressions could be used to calculate the
amount Trina was charged in interest for the billing cycle?
OA. (30)($780)
365
B.
O C.
D.
0.17
365
0.17
365
0.17
365
30
30
(10 $780+10 $950 +10 $210)
30
10
$780+10$950+10 $740
30
•30) ($570)
The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is (APR / 365) x 30 days x adjusted balance.
What is the adjusted balance method?The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.
The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.
Credit card interest method = adjusted balance method
Beginning balance = $780
Purchase = $170
Payment = $210
Adjusted balance, AB = $740 ($780 + $170 - $210)
APR = 17% = 0.17 (17/100)
The interest charged = (APR / 365) x 30 days x adjusted balance
= $10.34 [(0.17/365) x 30 x $740]
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If you scale a figure by less than or less than 100% does the new copy increase or decrease in size? PLS HURRY IT'S LATE PLS I DON'T WANNA STAY FOR 1HR
Answer:
Less
Step-by-step explanation:
100% is full size
n 100 mL of a solution there are 36 g. How many mg will 7.5 mL contain?
Answer:
Answers here just click https://dffrg.com
Step-by-step explanation:
Evaluate the given expression for x=5
x² + 3x - 2
(5)² + 3 × 5- 2
25 + 15 - 2
40 - 2
38...
4. Rewrite the expression using the distributive property.
(7•3) + (7•7)
Identify how the graph is shifted from that of the parent functionY=cot(x-3)
Which polygon has the most sides?
decagon
20-gon
nonagon
dodecagon
Answer:
decagon = 10
nonagon = 9
dodecagon = 12
Step-by-step explanation:
Answer:
decagon = a plane figure with ten straight sides and angles.
20-gon = In geometry, an icosagon or 20-gon is a twenty-sided polygon. The sum of any icosagon's interior angles is 3240 degrees.
nonagon = a plane figure with nine straight sides and nine angles.
dodecagon = a plane figure with twelve sides.
Step-by-step explanation:
ƒ(t) = –1∕2t2 + 2t + 6
This function represents a downward-opening parabola with a vertical shift of 6 units upward.
How to explain the functionThe given function is Ƒ(t) = –1/(2t²) + 2t + 6.
This is a quadratic function in terms of t. The general form of a quadratic function is f(t) = at² + bt + c, where a, b, and c are constants.
Comparing the given function Ƒ(t) = –1/(2t²) + 2t + 6 with the general form, we can see that a = -1/2, b = 2, and c = 6.
So, the function Ƒ(t) can be written as:
Ƒ(t) = (-1/2)t² + 2t + 6
This function represents a downward-opening parabola with a vertical shift of 6 units upward.
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Select all side lengths that would form a right triangle.
6 inches, 9 inches, 12 inches
9 meters, 40 meters, 41 meters
9 yards. 12 yards, 15 yards
15 miles. 8 miles. 17 miles
53 inches, 28 inches, 45 inches
41 feet, 32 feet, 19 feet
The sides of a right triangle that would form a right triangle is 9 m, 40 m, 41 m. 9 yards. 12 yards, 15 yards and 15 miles. 8 miles. 17 miles
An equation is an expression that shows the relationship between two or more numbers and variables.
Pythagoras theorem states that for a right angled triangle, the sides of the triangle are related to each other using the expression:
(hypotenuse side)² = (adjacent side)² + (opposite side)²
The sides of a right triangle that would form a right triangle is 9 m, 40 m, 41 m, because:
41² = 40² + 9²
Also, 9 yards. 12 yards, 15 yards, because:
15² = 9² + 12²
15 miles. 8 miles. 17 miles, because
17² = 15² + 8²
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giving brainliest !!!!
Answer:
It is A or D but mostly A is correct.
Step-by-step explanation:
give brainliest
Please help, will give brainliest! Which is NOT equivalent to this expression? 4(3x^2+6x)
I need help with this problem
at x = 1 we have one tangent line and at x = 5 we have just another tangent line.
\(f(x)=3x^2-15x\implies \left. \cfrac{df}{dx}=6x-15 \right|_{x=1}\implies \stackrel{\stackrel{m}{\downarrow }}{-9}~\hfill \left. 6x-15\cfrac{}{} \right|_{x=5}\implies \stackrel{\stackrel{m}{\downarrow }}{15}\)
so we have the slopes, but what about the coordinates?
well, for the first one we know x = 1 and we also know f(x), let's use f(1) to get "y", and likewise we'll do the for the second one.
\(\stackrel{x=1}{f(1)}=3(1)^2-15(1)\implies f(1)=-12\qquad \qquad (\stackrel{x_1}{1}~~,~~\stackrel{y_1}{-12}) \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-12)}=\stackrel{m}{-9}(x-\stackrel{x_1}{1}) \\\\\\ y+12=-9x+9\implies y=-9x-3 \\\\[-0.35em] ~\dotfill\)
\(\stackrel{x=5}{f(5)}=3(5)^2-15(5)\implies f(5)=0\qquad (\stackrel{x_1}{5}~~,~~\stackrel{y_1}{0}) \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{15}(x-\stackrel{x_1}{5})\implies y=15x-75\)
Which is the equation of a line that has a slope of 1 and passes through point (5,3?
O y=x-2
O y=x+2
O y=x+3
O y=x-5
Answer:
Step-by-step explanation:
y - 3 = x - 5
y = x - 2
option 1 is the answer
Using f(x) = 3x - 3 and g(x) = -x, find g(f(0))
Answer:
g(-3)=3
Step-by-step explanation:
You spin a spinner with 20 equal sections. If the spinner stops on red, you win. On which spinner would you be most likely to win? a spinner with 15 blue and 5 red a spinner with 13 blue and 7 red a spinner with 10 red and 10 blue sections a spinner with 8 red and 12 blue sections
Answer:
10 red and 10 blue
Step-by-step explanation:
A. 15 blue and 5 red
B. 13 blue and 7 red
C. 10 red and 10 blue
D. 8 red and 12 blue
Answer: The more red sections there are, the more the probability the spinner will stop on a red section, and you will win.
Answer: C. 10 red and 10 blue
x reduced by 13 is atleast 15
Answer:
If you need an inequality here it is, can't really tell what you're trying to ask.
x-13≤15
Step-by-step explanation:
When we are talking about AT LEAST we are talking about the minimum.
For example, if I start a party and the age requirements for the party is at least 15, that means anyone who is 15 or older can enter the party.
So in your question, it says x reduced by 13 is at least 15, so reduced basically means to minus. So we are going to have x-13.
Then you have the "is at least 15". The at least is your sign for your inequality.
For example,
At least=≤
At most=≥
So the "is at least 15" is ≤15
Plug the numbers in: x-13≤15
y=____ kilogran(s) what is the mystery weight of y
Answer:
The Answer To Your Question is 1/2 ( award brainliest)
Step-by-step explanation:)
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
65 cm^2
Step-by-step explanation:
Area of a parrallelogram
A = b x h
Therefore the area of the parrallelogram is...
A = 5 x 13 = 65
The area of the parallegoram is 65 cm. squared because to find the area of a parallegoram the formula is B x H and in your case
B is 13
H is 5
So you just need to multiply 13 x 5 which is 65 and dont forget to put the unit which is cm. squared.
So the area is 65 cm. squared
Select the GCF of these numbers.
48 and 60
Answer:
Brainliest
Step-by-step explanation:
12
4 x 12 = 48
5 x 12 = 60
greatest common factor here
Answer:
12
Step-by-step explanation:
60: 1,2,3,4,5,6,10,12,15,20,60
48: 1,2,3,4,6,8,12,16,24,48
5y + 2 + 6 + 2y 5y + 2(y + 3) + 2 combining like terms 6y − y + 2y + 10 − 4 + 2 Commutative Property Distributive Property arrowBoth arrowBoth arrowBoth
Answer:
Distributive Property
Step-by-step explanation:
5y + 2 + 6 + 2y
= 5y + 2(y + 3) + 2 This is the distributive property of multiplication w.r.t. addition
= 6y − y + 2y + 10 − 4 + 2
The distributive property of multiplication with respect to addition is the one which separates each term by using multiplication and then addition.
So we see that 2 is multiplied with y and 3 and then added with the like terms. If there was a minus sign the property would be distributive over subtraction.
Water is 2parts of hydrogen and 1 part of oxygen. For one molecule of water, each atom has the atomic mass unit of u, shown. What percent of the mass of a water molecule is hydrogen
Oxygen=16.00u
Hydrogen = 1.01u
11.2% of the mass of a water molecule is hydrogen
How to solve for the percentageAs water is composed of two parts hydrogen and one part oxygen, the total mass of a single molecule may be determined by ascertaining the following:
The Total Mass of Water = (2 x Mass of Hydrogen) + (1 x Mass of Oxygen)
Total Mass of Water = (2 x 1.01u) + (1 x 16.00u)
Total Mass of Water = 18.02u
Consequently, the overall mass of one molecule of water is determined to be 18.02 atomic mass units (u).
% mass of hydrogen = (mass of hydrogen / total mass of water) × 100
% mass of hydrogen = (2.02u / 18.02u) × 100
% mass of hydrogen = 11.2%
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Please guys I really need you're help
ANSWER THE QUESTION FOR BRAINLIEST
In a study of incentives used by companies to retain mature workers by The Conference Board, it was reported that 41% use flexible work arrangements. Suppose that of those companies that do not use flexible work arrangements, 30% give time off for volunteerism. In addition, suppose that of those companies that use flexible work arrangements, 50% give time off for volunteerism. If a company is randomly selected, determine the following probabilities:
a. The company uses flexible work arrangements or gives time off for volunteerism.
b. The company uses flexible work arrangements and does not give time off for volunteerism.
c. Given that the company does not give time off for volunteerism, the company uses flexible work arrangements.
d. The company does not use flexible work arrangements given that the company does give time off for volunteerism.
e. The company does not use flexible work arrangements or the company does not give time off for volunteerism.
Answer:
a) 0.587 = 58.7% probability that the company uses flexible work arrangements or gives time off for volunteerism.
b) 0.205 = 20.5% probability that the company uses flexible work arrangements and does not give time off for volunteerism.
c) 0.3317 = 33.17% probability that the company uses flexible work arrangements.
d) 0.4634 = 46.34% probability that the company does not use flexible work arrangements given that the company does give time off for volunteerism.
e) 0.795 = 79.5% probability that the company does not use flexible work arrangements or the company does not give time off for volunteerism.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)
In which
P(B|A) is the probability of event B happening, given that A happened.
\(P(A \cap B)\) is the probability of both A and B happening.
P(A) is the probability of A happening.
a. The company uses flexible work arrangements or gives time off for volunteerism.
41% use flexible work arrangements.
Of the 100-41 = 59% that do not use flexible work arrangments, 30% give time off for volunteerism. So
\(p = 0.41 + 0.59*0.3 = 0.587\)
0.587 = 58.7% probability that the company uses flexible work arrangements or gives time off for volunteerism.
b. The company uses flexible work arrangements and does not give time off for volunteerism.
41% use flexible work arrangements. Of those, 100 - 50 = 50% do not give time off for volunteerism. So
\(p = 0.41*0.5 = 0.205\)
0.205 = 20.5% probability that the company uses flexible work arrangements and does not give time off for volunteerism.
c. Given that the company does not give time off for volunteerism, the company uses flexible work arrangements.
Here, we use conditional probability.
Event A: Does not give time off for volunteerism
Event B: Uses flexible work arrangments.
0.205 = 20.5% probability that the company uses flexible work arrangements and does not give time off for volunteerism.
This means that \(P(A \cap B) = 0.205\)
Probability that the company does not give time off for volunteerism:
0.205(uses flexible work arrangments).
100 - 30 = 70% of 59%. So
\(P(A) = 0.205 + 0.7*0.59 = 0.618\)
The desired probability is:
\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.205}{0.618} = 0.3317\)
0.3317 = 33.17% probability that the company uses flexible work arrangements.
d. The company does not use flexible work arrangements given that the company does give time off for volunteerism.
Again conditional probability.
Event A: Gives time off for volunteerism
Event B: Does not use flexible work arrangements.
Probability of giving time off for volunteerism:
50% of 41%(have flexible work arrangements).
30% of 59%(don't have flexible work arrangements).
So
\(P(A) = 0.5*0.41 + 0.3*0.59 = 0.382\)
Gives time off for volunteerism and does not use flexible work arrangements.
30% of 59%. So
\(P(A \cap B) = 0.3*0.59 = 0.177\)
The desired probability is:
\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.177}{0.382} = 0.4634\)
0.4634 = 46.34% probability that the company does not use flexible work arrangements given that the company does give time off for volunteerism.
e. The company does not use flexible work arrangements or the company does not give time off for volunteerism.
Does not use flexible work arrangments: 59%
Dont give time off for volunteerism(70% already in the 59%, so we dont add) and 50% of 41%.
\(p = 0.59 + 0.5*0.41 = 0.795\)
0.795 = 79.5% probability that the company does not use flexible work arrangements or the company does not give time off for volunteerism.
determine the value of n 25+2-15÷3=n
Please help
21. What are the missing coordinates of point Q?
P(0, c)
A.
B.
C.
D.
Session 2-Calculator Allowed
(-2a, 0)
(2a, 0)
(-2a, c)
(2a, c)
Q(?, ?) O
N(2a, 0)
"The correct answer is option A." The missing coordinates of point Q are (a, c/2).We are given the coordinates of points P and N as (0, c) and (2a, 0), respectively. We are also given that point Q lies on the same line as points P, Q, and N. We need to find the missing coordinates of point Q.
Since point Q lies on the same line as P, Q, and N, its x-coordinate must be halfway between the x-coordinates of points P and N. That is, the x-coordinate of Q is:
x-coordinate of Q = (x-coordinate of P + x-coordinate of N) / 2
x-coordinate of Q = (0 + 2a) / 2 = a
So, we know that the x-coordinate of point Q is a.
To find the y-coordinate of point Q, we can use the fact that point Q lies on the same line as point P, which has coordinates (0, c). The equation of the line passing through P and N is:
y - c = (0 - c) / (2a - 0) * (x - 0)
Simplifying this equation gives:
y - c = -c/2a * xy = -c/2a * x + c
Substituting x = a in this equation gives:
y = -c/2a * a + cy = -c/2 + cy = c/2
So, we know that the y-coordinate of point Q is c/2.
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Your sibling finds a table on sale at their favorite home goods store and wants to buy it immediately. you are the person they call first because you are in a math class and would be able to give good advice. the table is round and has a diameter of five feet. the legs are approximately 30 inches tall. your sibling’s major worry is not fitting the table through the door. it looks big, but this is exactly why your sibling wants it! combine the equation from a and the expressions from b to write a quadratic function with the form: based on the area of a rectangle in terms of x. show any work
Equation A is the area formula
And Express B is w=x and l=w+44
The quadratic function in the form A(x) = a·x² + b·x + c, that can be used to calculate the area is; A(x) = x² + 44·x - 2880
What is a quadratic function?A quadratic function is a function that consists of variables that have exponents of 2 as the highest exponent.
The dimensions are;
A = The width of the door, w = x
The length of the door, l = x + 44
The area of the door, A = x × (x + 44) = x² + 44·x
The area of the door = 20 ft² = 2880 in²
Therefore;
x² + 44·x = 2880
The quadratic function is therefore;
x² + 44·x - 2880 = 0
The quadratic function is therefore;
A(x) = x² + 44·x - 2880
The solution of the quadratic function is found as follows;
x² + 44·x - 2880 = (x - 36)·(x + 80) = 0
x = 36 and x = -80
The possible value of x is therefore;
x = 36 inches
The length of the door, l = 36 + 44 = 80
The dimensions of the door are therefore;
Width = 36 inches
Length = 80 inches
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9482 ÷ 497 answer pls
Answer:
19.0784708249
Step-by-step explanation: