Kyle's fencing team is selling calendars to raise money. They earn $0.40 On each calendar they sell. Their goal is to earn more than $327. Write and solve an inequality to find the least number of calendars they can sell and still reach their goal.
Answer:
818
Step-by-step explanation:
Amount earned per calendar = $0.40
Target amount = > $327
Least number of calendars they can sell ;
(Number of calendars * amount earned per calendar) > 327
Let number of calendars = x
0.40x > 327
x > 327/0.40
x > 817.5
Least Number of calendars they can sell is 818
In the diagram below,AB is the diameter of the circle with centre P.Point C lies on the y-axis.Given the coordinates of A and B are (-6,3) and (2,-3) respectively ,calculate
a)the coordinates of P
b)radius of the circle
c)the coordinates of C
d)the area of the circle in term of
[tex]\pi[/tex]
Answer:
The coordinates of P are (-2,0)
The radius of the circle is 5.
Step-by-step explanation:
Analytic geometry
The diagram shows a circle with center P, and two points A(-6,3) and B(2,-3) that form the diameter of the circle.
a)
The center of the circle lies at the midpoint of A and B. The midpoint (xm,ym) can be calculated by:
[tex]\displaystyle x_m=\frac{x_1+x_2}{2}[/tex]
[tex]\displaystyle y_m=\frac{y_1+y_2}{2}[/tex]
Substituting x1=-6, x2=2, y1=3, y2=-3:
[tex]\displaystyle x_m=\frac{-6+2}{2}=\frac{-4}{2}=-2[/tex]
[tex]\displaystyle y_m=\frac{3-3}{2}=0[/tex]
Thus, the coordinates of P are (-2,0)
b) The radius of the circle is the distance from the center to any point in its circumference. We can use the distance from P to A or B indistinctly.
Given two points A(x1,y1) and P(x2,y2), the distance between them is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substituting x1=-6, x2=-2, y1=3, y2=0:
[tex]r=\sqrt{(-2+6)^2+(0-3)^2}[/tex]
[tex]r=\sqrt{4^2+(-3)^2}[/tex]
[tex]r=\sqrt{16+9}=\sqrt{25}=5[/tex]
The radius of the circle is 5.
What table is proportional
Answer:
C
Step-by-step explanation:
x is 2 times as y is the pattern
Laura invests $3600 in a savings account for 2 years. The account pays 3.52% compound interest per annum. Laura has to pay 40% tax on the interest earned each year. The tax is taken from the account at the end of each year. How much is in the account at the end of 2 years?
Answer:
$3753.64
Step-by-step explanation:
Initial amount = $3600
Interest rate = 3.52%
n = 1 (once in a year)
Time = 1 years
No of years = 2
Compound interest
A =[tex]P(1 + \frac{r}{n} )^n*t[/tex]
A = 3600(1 + 0.352/1) ^1*1= $3726.72
Interest earned = 3726.72 - 3600= $126.72
Tax = 40% of the interest earned= [tex]\frac{40}{100}*126.72[/tex] = $50.69 (This amount is deducted from interest )
Net interest earned after 1 year = 126.72 - 50.69= $76
Balance after 1 year = $3600 + $76= $3676
Similarly for the 2nd year
Compound interest
A =[tex]P(1 + \frac{r}{n} )^n*t[/tex]
A = 3676( 1+0.0352/1)^1*1= 3676(1.0352)
= $3805.4
Interest earned = 3805.4 - 3676= $129.4
Tax = [tex]\frac{40}{100}*129.4[/tex]= $51.76
Net interest earned =129.4 - 51.76= $77.64
Net balance after 2nd year = 3676+ 77.64= $3753.64
Evaluate. y2 + 2y + 5 for y = -5
Answer:
20
Step-by-step explanation:
Evaluate for y= −5
(−5)2+(2)(−5)+5
(−5)2+(2)(−5)+5
=20
Alexander was given a gift card for a coffee shop. Each morning, alexander uses the card to buy one cup of coffee. Each cup of coffee costs $1.50 and after buying 4 cups of coffee , the card had a $9 remaining balance. Write an equation for A in terms of x
Answer:
A = (cost per cup of coffee * number of cups) + balance
$15
Step-by-step explanation:
Given that :
Cost per cup of coffee = $1.50
Number of cups purchased = 4
Balance on card = $9
Let A = worth of gift card
A = (cost per cup of coffee * number of cups) + balance
A = (1.50 * 4) + 9
A = 6 + 9
A = $15
Find the value of x and y.
Answer:
??
Step-by-step explanation:
A line is parallel to the line y = 4x - 6 and passes through the point (-3, 7). What is the equation of the line?
O y = 4x - 5
O y = 4x - 3
O y = 4x + 7
O y = 4x + 19
Answer:
y = 4x + 19
Step-by-step explanation:
If you plug the points in, you would get 4x + 19.
6(1/4b+10) +4(9/10b+3)
Answer:
75.2
Step-by-step explanation:
6(1/4b+10) + 4(9/10b+3)
6/4b + 60 + 36/10b + 12
3/2b + 60 + 12/5b + 12
3/2b + 12/5b + 60 + 12
5b × 3 + 2b × 12/ 5b × 2b + 72
15b + 24b/10b + 72
39b/10b + 72
3.2 + 72 = 75.2
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
The triangle shown is a right triangle. Create the equation to be used to find the missing lengths. Format your answer in
the sequence: hypotenuse, unknown leg, known leg.
9
5
9
234567810/
72 xy a b
The length of the missing side of the triangle is 7.5 from the image attached.
What is the Pythagoras theorem?
A fundamental concept in geometry that has to do with right triangles is the Pythagorean theorem. After the Greek mathematician Pythagoras, it establishes a link between the lengths of the sides of a right triangle.
According to the theorem, the square of the hypotenuse's length (the side that faces the right angle) in a right triangle equals the sum of the squares of the lengths of the other two sides.
We know that;
[tex]x^2 = 9^5 - 5^2[/tex]
x = 7.5
Learn more about Pythagoras theorem:https://brainly.com/question/31658142
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The box plot below represents some data set. What percentage of the data values are between 50 and 75?
Answer:
25
Step-by-step explanation:
For box plot, the box contains 50percent and the line is the 50percent for the whole plot
25% of the data values are between 50 and 75.
Important information:
A box plot that represents some data set.We need to find, what percentage of the data values are between 50 and 75.
Box plot:From the given box plot it is clear that 50 is the median and 75 is the third quartile.
We know that 25% of data values are between the median and the third quartile.
Thus, 25% of the data values are between 50 and 75.
Find out more about 'box plot' here:
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what is the solution set of the above question ?
Answer:
The solution set is { } or ∅ ⇒ empty set
Step-by-step explanation:
∵ 2x + 10 < 10
→ Subtract 10 from the two sides of the inequality
∵ 2x + 10 - 10 < 10 - 10
∴ 2x < 0
→ Divide both sides by 2
∴ [tex]\frac{2x}{2}[/tex] < [tex]\frac{0}{2}[/tex]
∴ x < 0
∴ The solutions are all the negative numbers
∵ x ∈ N
∵ N is the set of Natural numbers
→ The natural numbers start at 1 and include all positive whole numbers
∴ N = {1, 2, 3, 4, 5, ..............}
∵ N does not contain any negative numbers
∴ The solution set is an empty set ⇒ ∅
∴ The solution set is { } or ∅
At an electronics store, a smart phone is on sale for 35% off the original price of $679. If you use the store credit card, you can receive an additional 15% off the sale price. What is the final price of the smart phone if you use the store credit car
Answer:
The final price of the smart phone if you use the store credit card is $339.5
Step-by-step explanation:
Given;
original price of the smart phone = $679
initial discount = 35%
additional discount if you use the store credit card = 15%
total discount of the smart phone if you use the store credit card
= 35% + 15% = 50%
The final price of the smart phone, if you use the store credit card is given as;
P = 0.5 X $679
P = $339.5
Therefore, the final price of the smart phone if you use the store credit card is $339.5
Someone pls add me as their friend quick
Pls Pls Pls
All my points
Answer:
Ok ig
Step-by-step explanation:
Answer:
Ok ill add u as a friend
Step-by-step explanation:
but why?
HELP PLEASEEE...Naming Your Solution When you are asked to name your solution if you have one... that means. When you have ONE solution, what's the ordered pair where your lines cross?
Answer:
It means that you need to state whether there are any solutions and how many there are. For example if the equation ends up with an answer like 2=5 there is no solution because 2 does not equal 5. if the equation ends up with an answer of 0=0 there is infinitely many solutions because 0 does equal 0. if it comes out as x=9 there is one solution because x only has one answer to (keep in mind these are just examples)
Step-by-step explanation:
The order pair would be where the two lines intersect perpendicularly with each other forming a 90° angle
A figure has the following vertices: A(0,5), B(8,3), C(6,0). What are the vertices of the
figure after a reflection across the y-axis?
Answer:
(0, 5), (-8, 3), (-6, 0)
Step-by-step explanation:
(0, 5) reflected across the y-axis = (0, 5)
(8, 3) reflected across the y-axis = (-8, 3)
(6, 0) reflected across the y-axis = (-6, 0)
Since the reflection is across the y-axis, we have to switch all of the x-values signs from positive to negative to get them from the top right side of the graph (positive side) to the top left side of the graph (negative side).
The only exception in this case is with the x-value 0 because 0 can never be negative or positive and remains in the middle of the graph.
Maria made some purchses at the Sunflower Market. She bought strawberries for $3.50, carrots for $2.25 and a bouquet of flowers for $9.95. If Maria uses a 20% coupon and has to pay 5.5% tax, how much will she pay in total? (Round your answer to the nearest hundredth)
Answer:
$13.25
Step-by-step explanation:
First you add everything up to get you to $15.70, then the 20% is changed to .2 which you then multiply 15.70 by .2 giving you 3.14. You then take 15.70 minus 3.14 which then gets you to 12.56. Then you take the tax of 5.5% and times $12.56 by it, giving you 69 cents, as your tax. Add those together to get 13.25, and then your finished.
Answer:
$13.25
Step-by-step explanation:
First let's add together the cost of all the items Maria bought:
3.50 + 2.25 + 9.95 = 15.70
The total cost of all the items without a coupon or tax is $15.70.
If Maria uses a 20% coupon, the value of the total cost will be 80% of its original value. So, multiply 15.7 by 0.8 to find the cost after the coupon:
15.7 * 0.8 = 12.56
The new total cost is 12.56. Now we need to find the sales tax. Multiply 12.56 by 0.055 to find the value of the sales tax:
12.56 * 0.055 = 0.6908
0.6908 rounds to 0.69. Add the cost of the sales tax to the total cost to get the final answer:
12.56 + 0.69 = 13.25
The total cost Maria will pay is $13.25
Hope this helps :)
When you solve an equation and you end with a TRUE STATEMENT, the solution set will be:
Answer:
false
Step-by-step explanation:
Answer:
equal
Step-by-step explanation:
3(x+2)=3x+6
3x+6=3x+6
-3x -3x
6=6
Which of the functions below could have created this graph ?
Answer:
Step-by-step explanation:
There is parabola on the graph, so the function might be quadratic or 4th power. We have no numbers on axises, then let's analyze the answers:
(A) The graph is no parabola for this function.
(B) The parabola for " - x² " is opened downward.
(C) The parabola for this function is also opened downward.
(D) This one option is the answer. The y-intercept is (-2)
According to the y-intercept and it's behavior, the function that could have created it's graph is:
D. [tex]F(x) = x^4 + 2x - 2[/tex]
This function has a negative y-intercept, that is, when [tex]x = 0[/tex], y has a negative value, which means that options A and B are incorrect.
The function also points upwards, which means that the leading coefficient, that is, the multiplier of the value of x with the highest exponent is positive, hence option C is incorrect.
Thus, the function is:
D. [tex]F(x) = x^4 + 2x - 2[/tex]
A similar problem is given at https://brainly.com/question/15446728
What are the rules to multiplying and dividing integers. Explain using the example -9 × 3
i know how to do the problem but the question..
Which table contains only corresponding x - values and y - values where the value of y is 3 more than the quotient of x and 2?
Answer:
Step-by-step explanation:
Think its g
From the solution, we can see that the table that tally is the table G.
If the value of y is 3 more than the quotient of x and 2, the required function is expressed mathematically as;
[tex]y=\frac{x}{2} + 3[/tex]
To get the corresponding value that satisfies the equation, we will substitute the values of "x" to get the corresponding value of y
If x = 7
[tex]y=\frac{7}{2} + 3\\y=3.5 + 3\\y=6.5\\[/tex]
Checking one more value of x;
If x = 10
[tex]y=\frac{10}{2} + 3\\y=5 + 3\\y=8\\[/tex]
From the solution above, we can see that the table that tally is the table G.
Learn more here: https://brainly.com/question/16097244
(6x10)+(8x1)+(5x.1)+(0x.01)+(1x.001)+(9x.0001)
Answer:
(6x10)+(8x1)+(5x.1)+(0x.01)+(1x.001)+(9x.0001)
=68.5019
Triangle ABC has vertices A(-3, -5), B(0, 4), and C(2, 5).
Which statement about triangle ABC is true?
A. Since two of the sides have slopes that are negative reciprocals, it is a right triangle.
B. Since two of the sides are congruent, it is a right triangle.
C. Since none of the sides have slopes that are negative reciprocals, it is not a right triangle.
D. Since none of the sides are congruent, it is not a right triangle.
Answer:
D. Since none of the sides are congruent, it is not a right triangle.
Step-by-step explanation:
This is the weirdest triangle I've ever seen.
Since none of the sides have slopes that are negative reciprocals, it is not a right triangle. Therefore, option C is the correct answer.
The given triangle ABC has vertices A(-3, -5), B(0, 4) and C(2, 5).
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The formula to find the slope of a line is slope = (y2-y1)/(x2-x1)
Here, slope of AB is
m= (4+5)/(0+3)
= 3
Slope of BC is
m= (5-4)/(2-0)
= 1/2
= 0.5
Slope of CA is
m= (5+3)/(2+3)
= 8/5
= 1.6
Since none of the sides have slopes that are negative reciprocals, it is not a right triangle. Therefore, option C is the correct answer.
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What equation in slope intercept form represents the line that passes through the two point? (6.9,5.9), (10.9,-2.1)
Answer:
y = 2x + b
I dont know what b is but the slope is 2 I think
Need Answer ASAP only 3 min
The answer to 29:
D
The answer to 6:
G
Select the equation which represents the graph.
Question 2 options:
A: y + 3 =− 4/5(x − 2)
B: y + 3 =− 5/4(x − 2)
C: y + 1 =− 4/5(x − 3)
D: y + 1 =− 5/4(x − 3)
What is the value of x?
Answer:
x=131
Step-by-step explanation:
55 + 76 + x = 180
131 + x = 180
x = 49
subtract 49 from 180 to get x
180 - 49 = 131
*so um note that x should be greater than 90 degrees bc x is obvi an obtuse angle
HALP, HELP, YELP, HELP MEH PLZ, PLZ, PLZ, PLZ, PLZ, PLZ, PLZ I WILL GIVE BRAINLIST PLZ AND NO DOO-DOO ANSWERS PLZ
Options-
(1.5,9)
(2.5,14)
(1.25,5)
(2.25,12
Answer:
1,5,9
Step-by-step explanation:
Answer:
(1.5,9)
Step-by-step explanation:
pls give this brainliest
5r-8.53 whenr =12 and s =4
Answer:
where is s. it's not in the equation you sent
can somebody please do this worksheet for me, it’s due tomorrow!
Answer: I cant really see it beacuse how you angled it...
Step-by-step explanation: