Answer:
Mid point = [tex](\frac{5}{2} ,5)[/tex]
Step-by-step explanation:
We are given the coordinates of the end points of a line segment AB and we are to find the coordinates of its mid point.
The coordinates of the end points are: A (-1, -2) and B (6, 12).
We know the formula of the mid point:
Mid point = [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
So putting in the given values to find the mid point of line segment AB:
Mid point = [tex](\frac{-1+6}{2} ,\frac{-2+12}{2} )[/tex] = [tex](\frac{5}{2} ,5)[/tex]
Brandon buys a basket of flowers for $7 before tax. The sales tax is 4%. What is the total price Brandon pays for the basket of flowers?
Answer:
$7.28
Step-by-step explanation:
We have been given that Brandon buys a basket of flowers for $7 before tax. The sales tax is 4%.
The total price that Brandon paid for the basket of flowers will be equal to 7 plus 4% of 7.
We can represent this information in an equation as:
[tex]\text{The total price that Brandon paid for the basket of flowers}=7+(\frac{4}{100}\times 7)[/tex]
[tex]\text{The total price that Brandon paid for the basket of flowers}=7+(0.04\times 7)[/tex]
[tex]\text{The total price that Brandon paid for the basket of flowers}=7+0.28[/tex]
[tex]\text{The total price that Brandon paid for the basket of flowers}=7.28[/tex]
Therefore, the total price paid by Brandon for the basket of flowers was $7.28.
Answer:
Total price Brandon pays for the basket of flowers is, $7.28
Step-by-step explanation:
As per the given statement: Brandon buys a basket of flowers for $7 before tax.
Convert this $7 into cents.
1 dollars = 100 cents.
$7 = 700 cents.
It is also given that the sales tax is 4%.
then;
Sales tax = [tex]4\% \times 700 = \frac{4}{100} \times 700 = 4 \times 7 =28 cents[/tex]
Total price Brandon pays = Price of Brandon buys a flower before tax + sales tax price
= 700 + 28 = 728 cents = $7.28
Therefore, the total price Brandon pays for the basket of flowers is, $7.28
If sin x=−1/2, and 270°
*
If 180°<θ<270°, and sinθ=−3/4, what is the value of sin(−θ)?
Answer:
For each of the three basic trig functions, (sin, cos, tan) there are three more which act as their reciprocals. (csc, sec, and cot respectively)
Reciprocals, of course, are flipped fractions. If you have some number x, the reciprocal can be expressed as .
An important property of reciprocals is that if you mutliply them together they will cancel out--take for example.
Since secӨ is literally defined as the reciprocal of cosӨ, it is evident that
Read more on Brainly.com - https://brainly.com/question/505406#readmore
Step-by-step explanation:
If A varies inversely as the square of B, what is the effect on B if A is multiplied by 3? Please explain.
Answer:
If A is multiplied by 3, B will be reduced by a factor [tex]\frac{1}{\sqrt{3}}[/tex]
Step-by-step explanation:
Writing the inverse proportionality relationship and expressing the dependence of B on A leads to the following:
[tex]A = \frac{1}{B^2}\implies |B| = \frac{1}{\sqrt{A}}\\B'=\frac{1}{\sqrt{3A}}= \frac{1}{\sqrt{3}}\frac{1}{\sqrt{A}}=\frac{1}{\sqrt{3}}|B|[/tex]
In words, if A triples, B will decrease by a factor [tex]\frac{1}{\sqrt{3}}[/tex], or, in other words, the square of B will decrease to one third of its previous value.
Alice paid $21.75 for some packs of rice crackers. If each pack costs $1.75, how many packs did she buy?
We have dollars and dollars per pack, so we divide to get how many packs.
[tex] \dfrac{21.75}{1.75} = \dfrac{2175}{175} = \dfrac{87(25)}{7(25)} = \dfrac{87}{7} \approx 12.4[/tex]
Odd that it's not a whole number of packs; please check the question carefully. Let's say she bought 12 and got some change.
My guess is the question really says Alice spent $22.75, so she bought 13 packs. Again check the question carefully. You don't need us to divide two numbers.
The mean and standard deviation for number of robberies in the U.S. from 2000 to 2015 are x̄ = 354,718 and sx = 28,803. The mean and standard deviation for number of assaults in the U.S. for the same time period are ȳ = 774,140 and sy = 44,910. The correlation coefficient is r = 0.84. Find the equation for the least-squares regression line for number of assaults compared with number of robberies. ŷ = 309,552.15 + 1.31x ŷ = 1.31 + 309,552.15x ŷ = 546,641.84 + 0.64x ŷ = 0.64 + 546,641.84x Unable to determine the equation
Answer:
[tex]\hat{y}=309,552.15 + 1.31x[/tex]
Step-by-step explanation:
The equation for the least-squares regression is,
[tex]\hat{y}=a+bx[/tex]
where b is the slope and a is the intercept.
They can be found out by,
[tex]b=r\cdot \dfrac{SD_y}{SD_x},\\\\a=\overline{y}-b\overline{x}[/tex]
where,
r = correlation coefficient = 0.84
[tex]SD_y[/tex] = standard deviation of y = 44,910
[tex]SD_x[/tex] = standard deviation of x = 28,803
[tex]\overline{y}[/tex] = mean of y = 774,140
[tex]\overline{x}[/tex] = mean of x = 354,718
Putting the values,
[tex]b=0.84\cdot \dfrac{44910}{28803}=1.309\approx 1.31[/tex]
[tex]a=774140-(1.31\times 354718)\approx 309,552.15[/tex]
Therefore the equation is,
[tex]\hat{y}=309,552.15 + 1.31x[/tex]
Luke's turkey chili recipe calls for 1.5 pounds of ground turkey for every 6 servings. How many servings can he make if he has 5 pounds of ground turkey? Show your work.
Final answer:
Luke can make 20 servings with 5 pounds of ground turkey.
Explanation:
To determine the number of servings Luke can make with 5 pounds of ground turkey, we need to set up a proportion. The recipe calls for 1.5 pounds of ground turkey for every 6 servings. So, we can set up the proportion: 1.5 pounds / 6 servings = 5 pounds / x servings, where x represents the unknown number of servings. To solve for x, we cross multiply: 1.5 pounds * x servings = 5 pounds * 6 servings. Simplifying the equation, we get: 1.5x = 30. Dividing both sides by 1.5, we find that x = 20. Therefore, Luke can make 20 servings with 5 pounds of ground turkey.
Please answer this question! Brainliest and thirty points!
Answer:
option c
Step-by-step explanation:
x + 9 - 4x =3 - 2x + 4
=>x + 2x - 4x =7 - 9
=>3x - 4x = -2
=>-x = -2
=>x = 2
Answer:
x=2
Step-by-step explanation:
x+9 -4x = 3-2x+4
The first step is to combine like terms
-3x+9 = -2x+7
Add 3x to each side
-3x+3x+9 = -2x+3x+7
9 = x+7
Subtract 7 from each side
9-7 = x+7-7
2 =x
If you break up the number under the radical in the square root of 36 into two factors that are perfect squares, what are the two factors?
Answer:
6
Step-by-step explanation:
sqrt (36)
Lets break this into parts
sqrt(4 * 9)
sqrt(4) * sqrt(9)
2 * 3
6
please help me out!!!!!!
1) The question is specifically asking about graduates. The total number of graduates is 2,610.
2) The total number of graduates on financial aid is 1,879.
3) So I think what you need to do is divide 2,610 (the total number of graduates) by the total of graduates on financial aid.
4) Using a calculator, I got 1.3.
Edit: I think MrBillDoesMath got it correct. But I appreciate you thanking me, despite my answer not being right.
Hello from MrBillDoesMath!
Answer:
.72
Discussion:
From the table, 1879 graduates students are receiving financial aid. Also from the table the total number of grad students is 2610. Hence the probability of a grad student receiving financial aid is 1879 /2610 = .72
Regards,
MrB
The perimeter of a rectangle is 84m. The length is two and a half times the width. Find the dimensions of the rectangle. Question 5 options: Length = 30m; Width = 12m Length = 28m; Width = 70m Length = 12m; Width = 30m Length = 70m; Width = 28m
w - width
2.5w - length
84m - perimeter
w + w + 2.5w + 2.5w = 7w - perimeter
The equation:
7w = 84 divide both sides by 7
w = 12 m
length = 2.5w → 2.5w = 2.5(12) = 30 m
Answer: length = 30m; width = 12mAfter a birthday party 1/3 of the cake was left if the cake was shared equally between 4 people what fraction did each person revive
A hotel has 150 rooms. The charges for a double room are $270 per night and $150 per night for a single room. On a night when the hotel was completely occupied. Revenues were $33,300. Which pair of equation can be used to determine the number of double room, d and the number of single room,s,in the hotel?
Step-by-step explanation:
Let s be charges for a single room and d be charges for a double room per night.
We are told that a hotel has 150 rooms. We can represent this information as:
[tex]s+d=150...(1)[/tex]
The charges for a double room are $270 per night and $150 per night for a single room. So the charges for s single rooms will be 150s and charges for d double rooms will be 270d.
On a night when the hotel was completely occupied. Revenues were $33,300.
We can represent this information as:
[tex]150s+270d=33,300...(2)[/tex]
Therefore, our desired pair of equations will be:
[tex]s+d=150...(1)[/tex]
[tex]150s+270d=33,300...(2)[/tex]
Answer: First equation: s+d=150; second equation: 150s+270d=33300
Step-by-step explanation: To solve the given problem we need to write two equations, the first one will express that the total number of rooms is the sum of the single rooms an the double rooms. The second equation will include the sum of the total earnings for the single and double rooms:
First equation:
s+d=150 (the single rooms and the double rooms equal 150 rooms)
second equation:
150s+270d=33300 (the sum of the single and double rooms each one of them multiplied by their prices, equals the total revenue)
To solve the equation we isolate s from the first equation:
s=150-d
and we replace it in the second one:
150(150-d)+270d=33300
solving for d:
22500-150d+270d=33300
120d=33300-22500
120d=10800
d=10800/120
d=90.
now we calculate s from the first equation:
s=150-d
s=150-90
s=60.
There are 60 single rooms and 90 double rooms.
Kareem lives 4/10 of a mile from the mall. Wright to equivalent fractions that show what fration of a mile Kareem lives from the mall
Answer:
8/20 and 12/30 are equivalent to 4/10.
Step-by-step explanation:
You just have to multiply the numerator and denominator by the same number.
Determine the equation of the hyperbola.
Answer:
A) x²/9 -y²/4 = 1
Step-by-step explanation:
The distance from center to one vertex is half the difference of the distances from a point to either focus. That is, the distance from center to the vertex is 3 on the x-axis, so the x-term is (x/3)² = x²/9.
In the picture, ...
... c² = a² + b²
The problem statement tells us c = √13, so we know c² = 13. Then ...
... b² = c² - a² = 13 -9 = 4
and the y-term is y²/4.
Thus, the equation is ...
... x²/9 - y²/4 = 1
_____
You knew that was the correct choice as soon as you knew the x-term.
A television normally costs $1,420. Due to a store sale, the televison is now $1,022.40. What was the percentage taken off the television?
Answer: 28%
Step-by-step explanation:
[tex]\dfrac{new-original}{original}[/tex]
[tex]=\dfrac{1022.40-1420}{1420}[/tex]
[tex]=\dfrac{-397.60}{1420}[/tex]
= -0.28
= -28%
NOTE: negative sign represents decrease
I need help. I have tried doing this question and none of the answers were right. Please help me.
Which ordered pairs lie on the graph of the exponential function f(x)=− 3 (x−1) +2 ? Select each correct answer.
A. (4,−25)
B. (1, 1)
C. (−1, 2)
D. (0, 0)
Answer:
A and B
Step-by-step explanation:
assuming the function should be
- [tex]3^{x-1}[/tex] + 2, then
A
substitute the x value into f(x) and check the validity of the y- value
f(4) = - [tex]3^{3}[/tex] + 2 = - 27 + 2 = - 25 ← agrees with y value
(4, - 25) lies on the graph
B f(1) = - [tex]3^{0}[/tex] + 2 = - 1 + 2 = 1 ← agrees with y value
(1, 1) lies on the graph
C
f(- 1) = - [tex]3^{-2}[/tex] + 2 = - [tex]\frac{1}{9}[/tex] + 2 ≠ 2
(- 1, 2) does not lie on the graph
D
f(0) = [tex]3^{-1}[/tex] + 2 = - [tex]\frac{1}{3}[/tex] + 2 ≠ 0
(0, 0) does not lie on the graph
Dan paid $34.30 for a sweater the price included a 40% markup what is the cost of the sweater before the markup
Answer:
$24.5
Step-by-step explanation:
Let x be the cost of sweater before markup.
We are told that Dan paid $34.30 for a sweater the price included a 40% markup. This means x plus 40% of x equals 34.30.
We can represent this information as:
[tex]x+\frac{40}{100}x=34.30[/tex]
[tex]x+0.40x=34.30[/tex]
[tex]1.40x=34.30[/tex]
[tex]x=\frac{34.30}{1.40}[/tex]
[tex]x=24.5[/tex]
Therefore, the cost of sweater before the markup was $24.5.
A cone shaped cup has a radius of 3 inches and a height of 7 inches. What is the volume in cubic inches for the cup? Use 3.14 for π.
Answer:
65.94 cubic inches
Step-by-step explanation:
We are given that a cone shaped cup has a radius of 3 inches and a height of 7 inches and we are to find the volume of this cone shaped cup.
We know the formula for the volume of a cone:
Volume of a cone = [tex]\pi r^2\frac{h}{3}[/tex]
So substituting the given values in the above formula to get:
Volume of the cone shaped cup = [tex]3.14*3^3*\frac{7}{3} =65.94[/tex]
Therefore, the volume of the cone shaped cup is equal to 65.94 cubic inches.
Answer:
65.94 inches^3
Step-by-step explanation:
hope this helps
The length of a base of a rectangular prism is 8 inches. The width of the prism is 4 and a half inches, and the height is 3 and a half inches. What is the volume of the prism?
Sweet t purchased a new pair of jeans to wear at the battle of the bands on sale at 40% off.He saved $20 what was his regular price of the jeans
Solve for x.
−3x + 4b > 9
1.) x > The quantity 4 times b minus 9 all over 3 <-- My answer
2.) x < the quantity 9 minus 4 times b all over 3
3.) x < the quantity negative 4 times b plus 9 all over negative 3
4.) x > the quantity 4 times b plus 9 all over negative 3
Answer: [tex]\bold{x < \dfrac{4b-9}{3}}[/tex]
Step-by-step explanation:
-3x + 4b > 9
-4b -4b
-3x > -4b + 9
÷-3 ↓ ÷-3
x [tex]<\dfrac{-4b+9}{-3}[/tex]
x [tex]<\dfrac{-1(4b-9)}{-1(3)}[/tex]
x [tex]<\dfrac{4b-9}{3}[/tex]
Answer:
A
Step-by-step explanation:
A
Pls help me with this Trig question!
Answer:
s = 65/3 pi
Step-by-step explanation:
The length of the intercepted arc is given by the formula
s =r*theta when theta is given in radians
r = 13
theta = 5 pi/3
Substituting what we know
s = 13 * 5 pi/3
s = 65/3 pi
Since we want an exact answer, we have to leave it in terms of pi and as a fraction
Natalie makes 2000 per month she spends 100 on credit card payments and 250 on an auto loan what is her debt to income ratio
Given the equation y − 3 = fraction 1 over 2 (x + 6) in point-slope form, identify the equation of the same line in standard form.
Answer: x - 2y = -12
Step-by-step explanation:
[tex]y - 3 = \dfrac{1}{2} (x+6)\\2(y - 3) = (2)\dfrac{1}{2}(x + 6)\\2y - 6 = x + 6\\\underline{-x +6}\quad\underline{-x + 6}\\-x + 2y = 12\\-1(-x + 2y = 12)\\x - 2y = -12[/tex]
ANSWER:
-1/2x + y = 6
ABOUT POINT SLOPE FORM:
y - Y1 = m (x - X1)Y1 & X1 is a point on the linem represents the slopeThis form allows you to identify the slope & the point on the lineABOUT STANDARD FORM:
Ax + By = CA & B & C are integersA &B are both non - zeroThis form is good to use when wanting to find the x & y intercepts of a liney - 3 = 1/2 (x + 6)
y - 3 = 1/2x + 3
+ 3 + 3
y = 1/2x + 6
-1/2x -1/2x
-1/2x + y = 6
I'm not sure if my answer is correct... But please tell me if it's correct or incorrect! Thank you! :)
Can someone help with these? 17 PT + BRainliest
29. e = D/(3f²)
30. k=-4, x=41 . . . . matches the 2nd selection
Step-by-step explanation:29. Multiply by the inverse of the coefficient of e. That coefficient is 3f², so you divide by that quantity.
... D = e(3f²)
... D/(3f²) = e . . . . . matches the first choice
___
30. You want to solve for k and use it with a different y-value.
... y = kx
... -96 = k·24
... -96/24 = k = -4
For y = -164, you have
... -164 = -4·x
... -164/-4 = x = 41
The coefficient of variation is -4, x is 41.
Select the correct answer. Given: AD = CF BC = DE Prove: AB = EF Statement Reason 1. AD = CF given 2. AD = AB + BC + CD CF = CD + DE + EF segment addition 3. AB + BC + CD = CD + DE + EF Transitive Property of Equality 4. AB + BC = DE + EF 5. BC = DE given 6. AB = EF Subtraction Property of Equality What is the reason for the fourth statement in this proof? A. definition of collinear points B. segment addition C. Subtraction Property of Equality D. Substitution Property of Equality
Answer:
Step-by-step explanation: The answer is D- Substitution Property of Equality. I just did the test and it was right.
Answer:
C. Subtraction property of equality.
Step-by-step explanation:
Given AD= CF
And BC=DE
To prove that AB=EF
Proof:
1.Statement: AD=CF
Reason: Given in question.
2. Statement: AD= AB+BC+ CD, CF= CD+DE+EF
Reason: Segment addition property because AB,BC,and CD are the segments of AB and CD,DE and DE are segments of CF.
3. Statement: AB+BC+CD=CD+DE+EF
Reason: Transitive property of equality
Transitive property: If ab=bc and bc=ca
Then , ab=ca
4.Statement: AB+BC= DE+EF
Reason: By using subtraction property of equality.
5. Statement:BC=DE
Reason: Given in question.
6. Statement: AB=EF
Reason: when we put BC=DE . Then we get AB+DE=DE+EF. By using subtraction property of equality .
Hence proved .
Mr. Vargas is buying used computer equipment. He buys 3 keyboards and 4 mice. He spends $42. If the items are all the same price, how much does each item cost?
Answer:
Hello.
The answer is $6 each item.
Step-by-step explanation:
If all of the items are the same price, then we have a total of 7 items ( 3 keyboards + 4 mic = 7 items).
So at the end is: 7 items ÷ $42 = $6.
The cost of each item is $6.
What is Division?A division is a process of splitting a specific amount into equal parts.
Given that Mr. Vargas is buying used computer equipment. He buys 3 keyboards and 4 mice. He spends $42.
Since, cost of each item is same, therefore total item = (3 + 4) = 7
Let the cost of each item be c,
7c = 42
c = 6
Hence, The cost of each item is $6.
For more references on division, click;
https://brainly.com/question/21416852
#SPJ2
Please help: Quadratic Formula Question
Answer:
1. b=-7
2. c= -10
Step-by-step explanation:
The standard form for the quadratic function is
ax^2 +bx+c
so we need to rewrite the function to be in this form
2x^2 -10 = 7x
Subtract 7x from each side
2x^2 -7x-10 = 7x-7x
2x^2 -7x-10 = 0
a =2, b= -7 c=-10
Which is the equation of the given line?
y=-2
Find the slope of the line between
Answer:
y = -2
Step-by-step explanation:
The y values remain constant through the whole line. It pass through the point where y = -2 so it's equation is:
y = -2
6>d-1 graph it please
Answer:
Step-by-step explanation:
6>d-1
Add 1 to each side
6+1 > d-1+1
7>d
Hi there!
Answer:
D>7
*The answer must have a positive sign and greater than symbol.*
Step-by-step explanation:
First, you switch sides of an equation.
[tex]d-1>6[/tex]
Then, you add by 1 from both sides of an equation.
[tex]d-1+1>6+1[/tex]
And finally, you add by the numbers from left too right.
[tex]6+1=7[/tex]
Final answer is d>7
I hope this helps you!
Have a nice day! :)
-Charlie
:D