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Suppose the goal is to raise $600. One equation relating the calendar and poster sales to the $600 goal is 3c + 2p= 600. Suppose the company donating the calendars and posters said they would provide a total of $250 items.
Answers
Answer:
100 calendars and 150 postersStep-by-step explanation:
Note it seem the "$" shouldn't be in front of 250 as it is the numbe of itemsa) The second equation is
c + p = 250b) The graph of both equations is attached
The intersection point of the lines is (100, 150)
It indicates 100 calendars and 150 posters to be donated to meet both of targets $600 and 250 items.
Answer:
Given equation:
[tex]3c+2p=600[/tex]
where:
c = number of calendarsp = number of postersPart (a)If the company donating the calendars and posters said they would provide a total of 250 items then:
[tex]c+p=250[/tex]
Part (b)To graph:
Rewrite both equations to make p the subjectFind the c-interceptFind the p-interceptConnect the two points with a straight line[tex]3c+2p=600 \implies p=300-\dfrac{3}{2}c[/tex]
[tex]\textsf{x-intercept}: \quad 300-\dfrac{3}{2}c=0 \implies c=200 \implies (200,0)[/tex]
[tex]\textsf{y-intercept}: \quad 300-\dfrac{3}{2}(0)=300 \implies (0,300)[/tex]
[tex]c+p=250 \implies p=250-c[/tex]
[tex]\textsf{x-intercept}: \quad 250-c=0 \implies c=250 \implies (250,0)[/tex]
[tex]\textsf{y-intercept}: \quad 250-0=250 \implies (0,250)[/tex]
Point of intersection (equate equations):
[tex]\begin{aligned}300-\dfrac{3}{2}c &=250-c\\50 & =\dfrac{1}{2}c\\ c & =100\end{aligned}[/tex]
[tex]p=250-100=150[/tex]
[tex]\implies \left(100,150}\right)[/tex]
The point of intersection tells us that they need to sell 100 calendars and 150 posters to reach their goal of raising $600. Therefore, the company needs to provide 100 calendars and 150 posters (or 250 items in the ratio of calendars to posters of 2 : 3).
Related Questions
Use log 2=a, log 3=b to evaluate log 216
Answers
Answer:
answer = 3(a +b)
Step-by-step explanation:
[tex] log(2) = a \: log(3) = b \: \: \\ log(216) = log(2 \times 2 \times 2 \times 3 \times 3 \times 3) \\ = log( {2}^{3} \times {3}^{3} ) \\ = log(2^{3} ) + log( {3}^{3} ) \\ = 3 log(2) + 3 log(3) \\ = 3(a) + 3(b) \\ = 3(a + b) \\ \\ log(216) = 3(a + b)[/tex]
A regular hexagon has an area of approximately
20 square centimeters. If the apothem measures
2.4 centimeters, find the approximate length of
each side.
Answers
Answer:
The side is approx 2.78cm
Step-by-step explanation:
There is an area formula for regular polygons that uses the apothem:
A = 1/2•a•s•n
a is the apothem.
s is the side length.
n is the number of sides.
The area, A is given and also the apothem is given, as well as the number of sides.
The shape in your problem is a hexagon, so it has 6 sides.
A = 1/2 asn
20 = 1/2(2.4)s(6)
Multiply.
20 = 7.2s
Divide.
20/7.2 = s
2.78 = s
s = 2.78
What is the answer for 2/3 + 1/4?
Answers
Hey there!
2/3 + 1/4
= 2×4/3×4 + 1×3/4×3
= 8/12 + 3/12
= 8 + 3/12 - 0
= 11/12
Therefore, your answer is: 11/12
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
[tex]\frac{11}{12}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3} +\frac{1}{4}[/tex]
First, find the lowest common denominator (LCD):
3*4=12
Next, convert the fractions to a base of 12.
[tex]\frac{2}{3} * \frac{4}{4} = \frac{8}{12}[/tex]
[tex]\frac{1}{4} * \frac{3}{3} = \frac{3}{12}[/tex]
Then, add our fractions with the same base (12):
[tex]\frac{8}{12} + \frac{3}{12} = \frac{11}{12}[/tex]
According to the rules of NCAA volleyball, there must be exactly 6 players on the court at all times and each player has a unique designated position on the court. How many different starting position configurations are possible for the 6 starting players of an 8-member volleyball team that follows this rule? Please answer quick.
Answers
Answer:
20160Step-by-step explanation:
This is a permutation of 6 out of 8
Use formula
P(n, r) = n!/(n-r)!Find the number of starting positions
P(8,)6 = 8!/(8 - 6)! = 8!/2! = 1*2*3*4*5*6*7*8/1*2 = 20160Watch help vide
Anna took a taxi from her house to the airport. The taxi company charged a pick-up
fee of $3 plus $2.25 per mile. The total fare was $48, not including the tip. How many
miles was the taxi ride?
Answers
45 divided by 2.25 (to get miles)
The taxi ride was 20 miles
Anna has traveled 20 miles in the taxi.
What is equation?An equation is a relationship between the variables and constants representing how they are related to each other. It includes equal to "=" sign.
The total amount paid is $48. So, the right side of the equation will be 48.
The cost of 1 mile is $2.25 so, the cost of x miles will be 2.25x.
Determine the total cost in terms of x.
Total cost = Fixed Cost+ Variable cost
= 3+2.25x
Determine the equation and solve it.
3+2.25x=48
2.25x=45
x=20
Thus, the taxi has traveled 20 miles.
To learn more about equations click:
https://brainly.com/question/649785
#SPJ2
Help! This one step for solving standard deviation I don't understand...
When I got it wrong it tells me what to do but I don't get it? (2nd image)
Answers
x = 10
hope it helps...!!!
The prism below is made of cubes which measure 1/2 of an inch on one side. What is the volume?
Note: Figure is not drawn to scale.
OA. 15/2 cubic in
OB. 6 cubic in
OC. 30 cubic in
OD. 60 cubic in
Answers
the answer is B. 6 cubic in
Here are the test scores for 15 students in Mr. M's class.
96, 85, 59, 63, 76, 68, 94, 97, 89, 100, 93, 96, 72, 46, 78
What is the percentage of these test scores that are less than 90?
Answers
Answer:
60%
Step-by-step explanation:
If you look through the data, it is clear that 46, 59, 63, 68, 72, 76, 78, 85, and 89 are all less than 90. There are 9 elements total that are less than 90.
For percentages, you take the number you have and divide by the total. Since we know that there are 15 students, we can do 9 / 15. This gives us 0.6 which is 60%
what is this its to hard :|
Answers
Answer:
25
Step-by-step explanation:
We take both medians and subtract.
53-28=25
solve
-2(x + 2)(x - 1)
Answers
Answer:
-2x^2 -2x + 4
Step-by-step explanation:
Distributive prop.
(-2x-4)(x-1)
-2x^2 + 2x - 4x + 4
-2x^2 -2x + 4
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Step number 3 is incorrecct
Step-by-step explanation:
It should be 16+12 because when you multiply (4)(3)(-1), which would equal -12, you need to sbutract -12 from 16, which is just adding 12 to 16 since two negatives make a positive.
Jessica is thinking of a number that rounds to 1,400 for the nearest ten and for the nearest
hundred. What number might she be thinking of?
Answers
Answer:
1,398
Step-by-step explanation:
i think this is it cause this is very close. Have a nice day.
Is 10, 20, 40, 80... an arithmetic sequence?
Answers
Answer:
No.
Step-by-step explanation:
A arithmetic sequence is a sequence of numbers that go up by the same value each time. We can clearly see that this set of numbers does not go up by the same value each time, therefore ruling it out as an arithmetic sequence. This sequence is a geometric sequence in case you're wondering.
|x-20| if x<-20
I need help with the opposite equation
Answers
Basically it’s the same as your other question but your not adding twenty!
6) Kate wants to buy some daisies for $6.99, some potting soil for $3.98, and a ceramic pot for $7.95. She has $20.00. Which number sentence represents the amount of change Kate receives back?
Answers
By taking a subtraction, we will see that the change that Kate receives is $1.08
How to get the change?The change will be given by the difference between what Kate has, and the cost of all the items she buys.
She has $20.00, and the costs are: $6.99, $3.98, and $7.95.
Then the change will be:
C = $20.00 - $6.99 - $3.98 - $7.95 = $1.08
We conclude that the change is $1.08
If you want to learn more about subtractions, you can read:
https://brainly.com/question/2475734
[-32] <,>,= [15] what is the answer
Answers
Answer:
-32 < 15
Step-by-step explanation:
Whenever in the negatives, it's always less than zero. Because 15 is positive, it would be greater than -32.
Really need help anybody!?!
Answers
Answer:
it's got to be 3........
Explanation:
Two angles are called complementary angles when they add up to 90 degrees. In this case you already have a 90 degree angle but need to find the other missing angles that would have to equal 90 degrees. This is bc 90+90 is 180 degrees
50 points each question. Please help. How do I solve?
Answers
[tex]~~~~~7e^{xy} +2x^2 -4y^2 =13\\\\\\\implies \dfrac{d}{dx}\left(7e^{xy} +2x^2 -4y^2\right) =\dfrac d{dx} (13)\\\\\\\implies 7\left[e^{xy} \dfrac{d}{dx} ( xy)\right] +2 \cdot 2x -4\cdot 2y \dfrac{dy}{dx} = 0\\\\\\\implies 7e^{xy} \left( x \dfrac{dy}{dx} +y\right) +4x -8y \dfrac{dy}{dx} =0\\\\\\\implies 7xe^{xy}\dfrac{dy}{dx} + 7ye^{xy} +4x -8y\dfrac{dy}{dx} = 0\\\\\\\implies \left(7xe^{xy} -8y \right) \dfrac{dy}{dx}=-7ye^{xy} -4x\\\\\\[/tex]
[tex]\implies \dfrac{dy}{dx} = \dfrac{-7ye^{xy} -4x}{7xe^{xy} -8y }[/tex]
I need help it's due tomorrow!!!!
Answers
Answer:
56
Step-by-step explanation:
All You Need To Do Is Count intill You Reach That Point
Evaluate the expression for the given values.
(a) The expression 5p − 7d evaluated for p = 8 and d = 1/7
(b) The expression 5p − 7d evaluated for p = 3 and d = −6
(a) The expression 5p−7d evaluated for p=8 and d= 1/7 is______ .
Part 2 Of Question
b) The expression 5p − 7d evaluated for p = 3 and d = −6 is ______
Answers
Answer:
a is 39
b is 57
Step-by-step explanation:
you were given two different expressions to substitute.
the first one is p = 8 and d = 1/7
so we substitute into 5p - 7d
that is 5(8) - 7(1/7)
we get 40 - 1
which if we go ahead to evaluate we get 39
The second one p = 3 and d = -6
so we get 5(3) - 7(-6)
we get 15 - (-42)
if we go ahead to evaluate we get 15 + 42
two negative meeting each other gives you positive.
then it going too be 57
2. The value of C when y= 2x+C is tangent to the parabola y²=8x is: (a)-1 (b) 1 (c) 2 (d)-2
Answers
Answer:
B. The value of C is 1
Step-by-step explanation:
Given:
[tex]\displaystyle \large{y=2x+C}\\\displaystyle \large{y^2=8x}[/tex]
y = 2x + C is a tangent to parabola y² = 8xTo find:
value of CA line being a tangent to curve means both equations are equal but there has to be only one interception between both graphs.
Therefore, substitute y = 2x+C in y² = 8x:
[tex]\displaystyle \large{(2x+C)^2 =8x}[/tex]
Expand the expression (2x+C)² using perfect square:
[tex]\displaystyle \large{4x^2+4xC+C^2=8x}[/tex]
Simplify the equation:
[tex]\displaystyle \large{4x^2+4xC-8x+C^2=0}\\\displaystyle \large{4x^2+(4C-8)x+C^2=0}[/tex]
The discriminant says:
If b²-4ac > 0 then there are two real rootsIf b²-4ac = 0 then there is only one real rootIf b²-4ac < 0 then the are no real rootsFor this, we choose b²-4ac = 0 since tangents only have one intersection.
[tex]\displaystyle \large{b^2-4ac = (4C-8)^2-4(4)C^2 = 0}\\\displaystyle \large{16C^2-64C+64-16C^2=0}\\\displaystyle \large{-64C+64=0}[/tex]
Solve the equation for C:
[tex]\displaystyle \large{-64C=-64}\\\displaystyle \large{C=1}[/tex]
Therefore, the value of C is 1
help me please i need help
Answers
Answer:
1/10
3
Step-by-step explanation:
probability of getting a 7 = 1 in 10 =1/10
if the total frequency of spins N= 30
then the expected number of occurrences =N×p=30×(1/10)=3
Answer: a) 1/10
b) 3
Step-by-step explanation:
a) 7 is one number on the spinner meaning that out of 10 possibilities 7 is only one of them which give you 1/10.
b) If she spins it 30 more times this would give you the fraction of 3/30 since it relates to the first fraction.
Which compound inequality can be represented by the graph below?
x < 5 or x ≥ 9
5 ≤ x < 9
x ≤ 5 or x > 9
5 < x ≤ 9
Answers
Answer:
5 < x ≤ 9
Step-by-step explanation:
solve for x ~
[tex]x {}^{2} - 16x = 0[/tex]
thankyou ~
Answers
Step-by-step explanation:
Mark me brainliest please[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Here we go ~
[tex]\qquad \tt \dashrightarrow \: {x}^{2} - 16x = 0[/tex]
[tex]\qquad \tt \dashrightarrow \: x(x - 16) = 0[/tex]
Now, there are two possibilities ~
[tex]\qquad \tt \dashrightarrow \:x = 0[/tex]
or
[tex]\qquad \tt \dashrightarrow \:x - 16 = 0[/tex]
[tex]\qquad \tt \dashrightarrow \:x = 16[/tex]
What is the square root of a number if it is in ratio form
Answers
The square root of 25 is 5. It is the positive solution of the equation x2 = 25. The number 25 is a perfect square.
...
Square Root of 25 in radical form: √25.
Find the value of X.
Answers
Answer:
Step-by-step explanation:
Vertically opposite angles are congruent.
-2x - 6 = 40
Add 6 to both sides
-2x = 40 + 6
-2x = 46
Divde both sides by (-2)
x = 46/(-2)
x = -23
if X varies inversely as the cube root of y and X=1 when y=8. find y when X =3
Answers
Answer:
The work is straight forward once you know the formular
Solve for a side in right triangles. Make sure to round your answer to the nearest hundredth
Answers
Answer:
tan(20) = 4 / x
tan(20)x = 4
x = 4 / tan(20)
x = 10.99 units
Step-by-step explanation:
POSSIBLE
Paytin has silk ribbon that is 2 inches wide. She plans to sew the ribbon around the edge of a circular tablecloth that has a 25-inch radius.
How much silk ribbon does she need?
inches of ribbon.
1
2
Answers
Answer:
78.5 or 79 inches when rounded.
Step-by-step explanation:
2 in wide so get half of 2 which is 1 times 3.14 = 3.14. then times that by the 25 inch radius = 78.5
The difference between two consecutive cube numbers is always odd or even?
Answers
Answer:
odd
Step-by-step explanation:
take example of 2^3 +3^3 it's odd
now others try yourself