Answer:
The 8 bar soap is a better deal.
Step-by-step explanation:
A store is having a sale on almonds and jelly beans. For 4 pounds of almonds and 8 pounds of jelly beans, the total cost is $25. For 2 pounds of almonds and 3
pounds of jelly beans, the total cost is $10. Find the cost for each pound of almonds and each pound of jelly beans.
let x = number of pounds of jelly beans
y = number of pounds of almonds .
then , 4x + 8y =33
2x + 3y = 13
multiply the second equation by -2 to get the system :
4x + 8y =33
-4x - 6y = -26
adding the equations ,we get 2y=7. so y=3.5
substitute for y in either of the given equations : 2x + 3 (3.5) =13
+ 10.5=13
2x =2.5
x=1.25
answer : A pound of jelly beans costs $1.25 and a pound of almonds costs $3.50.
The Valley High School student council is planning a dance. The
school has 480 students. The lowest possible ticket price is $3.00,
and they estimate that for every $0.20 increase in ticket price, 20 fewer
students will attend. What ticket price will maximize
the student council's profit?
SELECT ONE OPTION BELOW:
$4.20
$3.90
$3.50
$4.00
Answer:
$3.90
Step-by-step explanation:
its B
The price of the ticket at which the student councils will maximize the profit is $3.90.
Option B is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of students = 480
Lowest ticket price = $3
Ticket price = $4.20
This means,
4.20 - 3 = 1.20
There is an increase of $1.20 which is 0.20 x 6 = $1.20.
The number of students who attended when the ticket price is $4.20.
= 480 - (6 x 20)
= 480 - 120
= 360
Profit:
= 360 x 4.20
= $1512
Ticket price = $3.90
This means,
3.90 - 3 = 0.90
There is an increase of $0.90 which is 0.20 x 4.5 = $0.90.
The number of students who attended when the ticket price is $3.90.
= 480 - (4.5 x 20)
= 480 - 90
= 390
Profit:
= 390 x 3.90
= $1521
Now,
Ticket price = $3.50
This means,
3.50 - 3 = 0.50
There is an increase of $0.50 which is 0.20 x 2.5 = $0.50.
The number of students who attended when the ticket price is $3.50.
= 480 - (2.5 x 20)
= 480 - 50
= 430
Profit:
= 430 x 3.50
= $1505
Now,
Ticket price = $4.00
This means,
4 - 3 = 1
There is an increase of $1 which is 0.20 x 5 = $1.
The number of students who attended when the ticket price is $4.20.
= 480 - (5 x 20)
= 480 - 100
= 380
Profit:
= 380 x 4.20
= $1520
We see that,
The profit is highest when the ticket price is $3.90.
Thus,
$4 ticket price will maximize the student council's profit.
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Lauren bought a jacket that was on sale. She paid
40% of the original price of $75. How much did
Lauren pay for the jacket? Solve this problem any
way you choose.
Lauren paid $30 for the jacket on sale.
What is Percentage?Percentage of any number is calculated by dividing the number with the whole and then multiplying the result with 100.
Similarly the opposite steps can be used to find the original number out of the percentage.
So percentage is the ratio or number which can be expressed as a fraction of 100 or in simple terms, percentage is the part per 100.
The symbol we use to denote percentage is %.
Lauren bought a jacket that was on sale.
Original price of the jacket = $75
Amount Lauren paid is the 40% of the original price $75.
Actual price paid = 40% × 75
= (40/100) × 75
= 0.4 × 75
= 30
That is the actual price is $30.
Hence, if Lauren paid 40% of the original price $75, then the amount Lauren paid for the jacket is $30.
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What is the answer to 8/10 x 5/2
Answer:
your answer is 2!
Step-by-step explanation:
you have to make it an improper fraction once you do you get 2!
brainliest please>
Answer:
2
Step-by-step explanation:
8/10 = 0.8
5/2 = 2.5
0.8 x 2.5 = 2
1. If the demand (price) function is P(Q) = 100 − 4Q, find expressions for revenue function, R(Q) and marginal revenue function, MR(Q). Hence estimate the MR for 10 units of sales.
Help please help please help please please help
Answer:
125cm^3
Step-by-step explanation:
Length x Width x Height
5x5x5=125
find the greatest common factor of each set 15,20
Answer:
5
Step-by-step explanation:
.......................
In 2001, the world population 6.5 billion and was increasing at a rate of 1.2% each year.
Find the population in 2017. Round to the nearest tenth.
Answer:
8.0 billion
Step-by-step explanation:
1.2÷100=0.012
0.012×6.5=0.078
2017-2001=16
0.078×16=1.248
6.5+1.248=7.748
nearest tenth 8.0
what is 0.5 of 7 or 0.5 x 7
Answer:
3.5
Step-by-step explanation:
Answer:
I think itis 3.5 please mark brainlest if I am right
Step-by-step explanation:
Move the digits in 625,134 to create a
new number.
Move the 2 so it is worth 1o as much.
Move the 3 so it is worth 10 times as
much.
Move the 5 so it is worth 50,000.
Move the 4 so its value changes to
4 X 100,000.
Move the 1 and the 6 so that the sum of
their values is 16.
write the new number
Answer:
a. The new number created is 265,134.
b. The new number created is 625,314.
c. The new number created is 652,314.
d. The new number created is 462,513.
e. The new number created is 253,416.
Step-by-step explanation:
Note: The first question is not correctly and fully stated. It is therefore restated as the questions are answered as follows:
a. Move the 2 so it is worth 10 as much.
From 625,134, the 2 implies 20,000.
If we move the 2 so it is worth 10 as much, it implies that 20,000 is multiplied by 10 and the answer is as follows:
20,000 * 10 = 200,000
The answer implies that 2 becomes the first number and the new number created from 625,134 is as follows:
The new number created is 265,134.
b. Move the 3 so it is worth 10 times as much.
From 625,134, the 3 implies 30.
If we move the 3 so it is worth 10 as much, it implies that 30 is multiplied by 10 and the answer is as follows:
30 * 10 = 300
The answer implies that 3 becomes the fourth number and the new number created from 625,134 is as follows:
The new number created is 625,314.
c. Move the 5 so it is worth 50,000.
This implies that 5 becomes the second number and the new number created from 625,134 is as follows:
The new number created is 652,314.
d. Move the 4 so its value changes to 4 X 100,000
This implies that 4 is now 400,000 and it now becomes the first number. The new number created from 625,134 is as follows:
The new number created is 462,513.
e. Move the 1 and the 6 so that the sum of their values is 16.
This implies the one becoms 10 and the 6 becomes just 6.
As a result, this implies that the 1 now becomes the fifth number and the 6 now become the last number. The new number created from 625,134 is now as follows:
The new number created is 253,416.
QUICK PLEASEEEEEEE!!!!!!!!!!!!?!???!?!?!
what time is it
(plz answr quikly)
Answer:
it is 10:22am
Step-by-step explanation:
hope it helped brainliest?
PLEASE HELP!!!
what is the average rate of change of the equation: y=4x^2-10x+2, between f(3) and f(5)?
Answer:
Average rate of change=22
Step-by-step explanation:
We need to find the average rate of change of the equation: [tex]y=4x^2-10x+2[/tex]between f(3) and f(5).
The formula used to find average rate of change is: [tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}[/tex]
In the given question we have a=3 and b =5
Finding f(a) i.e f(3)
[tex]f(3)=4(3)^2-10(3)+2\\f(3)=4(9)-30+2\\f(3)=36-30+2\\f(3)=8[/tex]
Finding f(b0 i.e f(5)
[tex]f(5)=4(5)^2-10(5)+2\\f(5)=4(25)-50+2\\f(5)=100-50+2\\f(5)=52[/tex]
Putting values of f(3)=8 and f(5)=52 to find average rate of change
[tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}\\Average \ rate \ of \ change=\frac{52-8}{5-3}\\Average \ rate \ of \ change=\frac{44}{2}\\Average \ rate \ of \ change=22[/tex]
So, Average rate of change=22
A train travels at a constant speed for 528 miles. If it takes the train 8 hours to travel the distance, what is
the unit rate at which the train travels?
Answer:
The train travels at 66 miles per hour.
Step-by-step explanation:
Given that:
Time taken by train = 8 hours
Distance covered by train in 8 hours = 528 miles
Unit rate is defined by the distance travelled by train in one hour.
Therefore, we will divide the total time taken by train to distance covered by train in that time.
Unit rate = [tex]\frac{Distance\ travelled}{Time\ taken}[/tex]
Unit rate = [tex]\frac{528}{8}[/tex]
Unit rate = 66 miles per hour
Hence,
The train travels at 66 miles per hour.
Keith wants to save money to purchase a car. He buys an annuity with quarterly payments that earn 2.8% interest, compounded quarterly. Payments will be made at the end of each quarter. Find the total value of the annuity in 5 years if each quarterly payment is $851.
Answer: On each, first identify as a Future Value annuity or Present Value annuity. Then answer the question. 1) How much money must you deposit now at 6% interest compounded quarterly in order to be able to withdraw $3,000 at the end of each quarter year for two years?
Step-by-step explanation: hope this helps
Which of the following equations is not a proportion?
A. 2/3 = 142/213
B. 22/33 = 4/6
C. 14/7 = 7/3.5
D. 1.5/3 = 3/9
Answer:
both of the people above me are wrong, its
22/33=4/6
Step-by-step explanation:
(22/33)=(4/6) is the following equations are not a proportion. Option B is correct.
What is the difference between a ratio and a proportion?A ratio is an ordered pair of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two ratios are specified to be equal.
The two numbers in ratio in numerator and denominator is divided by the same number and obtained as the whole number as;
[tex]\rm \frac{a}{b} = \frac{2 \times a}{2 \times b}[/tex]
(22/33)=(4/6) is the following equations are not a proportion.
Hence, option B is correct.
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Water flows between the geosphere and the atmosphere in the water cycle true or false
Answer:
true
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
This gigantic system, powered by energy from the Sun, is a continuous exchange of moisture between the oceans, the atmosphere, and the land. Earth's water continuously moves through the atmosphere, into and out of the oceans, over the land surface, and underground.
PLEASE HELP ASAP!!
A
B
C
D
Answer:
A
Step-by-step explanation:
Just plug numbers and it will give you graph attributes
Tell whether each equation has one, zero, or infinitely many solutions.
If the equation has one solution, solve the equation.
11. 6(x - 1) = 6x-1
10. 4(x-2) - 4x + 10
13. 4x + 5 = 9+ 4x 6.
12. 6n + 7-2n-14 = 5n + 1
15. 40-8x + 12) = -26-32x
14.8(y + 4) = 7y + 38
Answer:
6x-1=6x-1 infintely many
4x-8=4x+10 no solution
4x+5=4x+15 no sloution
4n-7=5n+1 n=-8
-8x+52=-26-32x 24x=78 x= 3 1/4
8y+32=7y+38 y=6
Hope this helps your spelling/typing is a bit off but mark brainliest :D
some of them are wrong bcuz i dont know the real typing :(
(8+5i) + (10+6i)-(3+6i)
Answer:
15 + 5i
Step-by-step explanation:
[tex](8+5i) + (10+6i)-(3+6i) \\ \\ = 8 + 5i + 10 + 6i - 3 - 6i \\ \\ =( 8 + 10 - 3 )+ (5i + 6i - 6i )\\ \\ = 15 + 5i[/tex]
A customer purchases two bags of cherries if each bag costs $7.99 each and He pays with a $20 bill. with no tax, how much change will he receive back?
Answer:
12.01
Step-by-step explanation:
20-7.99
Solve the following quadratic equation by completing the square: x^2-12x+5=7
PLS HELP ASAP
Answer:
[tex] {x}^{2} - 12x + 5 = 7[/tex]
i) move constants to the right-hand side and change its sign
[tex] {x}^{2} - 12 {x} = 7 - 5[/tex]
ii) subtract the numbers
[tex] {x}^{2} - 12x = 2[/tex]
iii) add (12/2)² to both sides of the equation
[tex] {x}^{2} - 12x + ( \frac{12}{2} ) {}^{2} = 2 + ( \frac{12}{2} ) {}^{2} [/tex]
iv) using a²-2ab+b²=(a-b)² , factorize the expression
[tex](x - \frac{12}{2} ) {}^{2} = 2 + ( \frac{12}{2} ) {}^{2} [/tex]
v) calculate the value
[tex](x - \frac{12}{2}) {}^{2} = 2 + 36[/tex]
[tex](x - \frac{12}{2}) {}^{2} = 38[/tex]
vi) reduce the fraction
[tex](x - 6) {}^{2} = 38[/tex]
vii) solve the equation for x
[tex]x - 6 = + - \sqrt{38} [/tex]
1) first value of x
[tex]x - 6 = \sqrt{38} [/tex]
[tex]x = \sqrt{38} + 6 \: or \: 12.16[/tex]
2) second value of x
[tex]x - 6 = - \sqrt{38} [/tex]
[tex]x = - \sqrt{38} + 6 \: or \: - 0.16[/tex]
Choose the kind(s) of symmetry: point, line, plane, or none.
0
O point
Oline
O plane
none
Answer:
point symmetry and line symmetry.
Determine the missing information in the paragraph proof.
Given: Line PQ is rotated 90° counterclockwise to form line P’Q’. The lines are perpendicular. Line PQ contains the points (a, b) and (c, d). Line P’Q’ contains the points (–b, a) and (–d, c).
Prove: The slopes of perpendicular lines are negative reciprocals.
On a coordinate plane, 2 perpendicular lines are shown. Line P Q has points (a, b) and (c, d). Line P prime Q prime has points (negative b, a) and (negative d, c).
The slopes of lines PQ and P’Q’ can be determined using the formula m = StartFraction v 2 minus v 1 Over x 2 minus x 1 EndFraction
The product of these slopes is ________. This product shows that the slopes are negative reciprocals. It is given that the lines are perpendicular and we have shown that the slopes of the lines are negative reciprocals.
Answer:
The answer is A.
Step-by-step explanation:
(StartFraction d minus b Over c minus a EndFraction) (StartFraction c minus a Over negative d + b EndFraction) = negative 1
Answer:
A.
Step-by-step explanation:
Edge 2021
There are 8 people in the gym. An hour later, there are double that number. How many people are in the gym now?
Answer:
16
Step-by-step explanation:
because 8+8 is 16 when doubling 8
Sarah works for the Urban Pollination Project at UW. Five years ago, 25% of urban gardens were visited by native bees, and Sarah would like to show that this proportion is different now than it was five years ago. Suppose Sarah calculates a p-value of 178. What is the best conclusion at a significance level of 0.057?
a. Sarah does not have evidence that the proportion of urban gardens visited by native bees has not changed.
b. Sarah has evidence that the proportion of urban gardens visited by native bees has not changed
c. Sarah has evidence that the proportion of urban gardens visited by native bees has changed
d. Sarah does not have evidence that the proportion of urban gardens visited by native bees has changed
Answer:
The answer is "Option a".
Step-by-step explanation:
The value of p [tex]= 0.178[/tex]
The significance level[tex]= 0.057[/tex]
Hypothesis:
[tex]H_0 -p=0.25\\\\H_1 -p \neq 0.25\\\\\to 0.178 > 0.057[/tex] that is p-value [tex]> \alpha[/tex]
therefore we don't reject[tex]H_o[/tex]
A lacrosse team won 80% of their games. If they won 24 games, how many games did they play?
Answer:
30
Step-by-step explanation:
80% of 30 is 24 (u can use a calculator if you would like to check the answer but it is 30)
Answer: 30 games
Step-by-step explanation:
24 game won 6 game loss and 80%
11. A 3000-kg truck moving rightward with a speed of 5 km/hr collides head-on with a 1000-kg car moving leftward with a speed of 10 km/hr. The two vehicles stick together and move with the same velocity after the collision. Determine the post-collision speed of the car and truck.
If the farmer has 648 feet of fencing, what are the dimensions of the region which enclose the maximal area?
Answer:
Length = 162 feet and Width = 108 feet.
Step-by-step explanation:
The area of a 2D form is the amount of space within its perimeter. The area of this region will cover is 26,244 feet².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
A four-sided figure covers the maximum area when the length of its four sides is equal. Therefore, the length and the width of the region will be equal. Thus, we can write the length of the fence as,
4x = 648 feet
x = 648/4 feet
x = 162 feet
Now, the area this region will cover is,
Area = 162 feet x 162 feet
= 26,244 feet²
Hence, the area of this region will cover is 26,244 feet².
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what is 3/8 divided by 5/12
Answer:
it would be 9/10.
Step-by-step explanation:
Evaluate the double integral. 2y2 dA, D is the triangular region with vertices (0, 1), (1, 2), (4, 1) D
Answer:
[tex]\mathbf{\iint _D y^2 dA= \dfrac{22}{3}}[/tex]
Step-by-step explanation:
From the image attached below;
We need to calculate the limits of x and y to find the double integral
We will notice that y varies from 1 to 2
The line equation for (0,1),(1,2) is:
[tex]y-1 = \dfrac{2-1}{1-0}(x-0)[/tex]
y - 1 = x
The line equtaion for (1,2),(4,1) is:
[tex]y-2 = \dfrac{1-2}{4-1}(x-1) \\ \\ y-2 = -\dfrac{1}{3}(x-1)[/tex]
-3(y-2) = (x -1)
-3y + 6 = x - 1
-x = 3y - 6 - 1
-x = 3y - 7
x = -3y + 7
This implies that x varies from y - 1 to -3y + 7
Now, the region D = {(x,y) | 1 ≤ y ≤ 2, y - 1 ≤ x ≤ -3y + 7}
The double integral can now be calculated as:
[tex]\iint _D y^2 dA= \int ^2_1 \int ^{-3y +7}_{y-1} \ 2y ^2 \ dx \ dy[/tex]
[tex]\iint _D y^2 dA= \int ^2_1 \bigg[ 2xy ^2 \bigg]^{-3y+7}_{y-1} \ dy[/tex]
[tex]\iint _D y^2 dA= \int ^2_1 \bigg[2(-3y+7)y^2-2(y-1)y^2 \bigg ] \ dy[/tex]
[tex]\iint _D y^2 dA= \int ^2_1 \bigg[-6y^3 +14y^2 -2y^3 +2y^2 \bigg ] \ dy[/tex]
[tex]\iint _D y^2 dA= \int ^2_1 \bigg[-8y^3 +16y^2 \bigg ] \ dy[/tex]
[tex]\iint _D y^2 dA= \bigg[-8(\dfrac{y^4}{4}) +16(\dfrac{y^3}{3})\bigg ] ^2_1[/tex]
[tex]\iint _D y^2 dA= \bigg[-8(\dfrac{16}{4}-\dfrac{1}{4}) +16(\dfrac{8}{3}-\dfrac{1}{3})\bigg ][/tex]
[tex]\iint _D y^2 dA= \bigg[-8(\dfrac{15}{4}) +16(\dfrac{7}{3})\bigg ][/tex]
[tex]\iint _D y^2 dA= -30 + \dfrac{112}{3}[/tex]
[tex]\iint _D y^2 dA= \dfrac{-90+112}{3}[/tex]
[tex]\mathbf{\iint _D y^2 dA= \dfrac{22}{3}}[/tex]
To answer this question, we need, first get the equations for the lines that enclosed the surface, and integrate according to the limits these equations give.
The solution is:
A = 22/3 square units
Let´s call points:
P ( 0 , 1 ) Q ( 1 , 2 ) and R ( 4 , 1 )
The equation for the line between P and R is:
y = 1
The equation for the line between P and Q is:
Slope-intercept equation is y = m×x + b
The slope m₁ = ( 2 - 1 ) / ( 1 - 0 ) m₁ = 1
and the line passes over the point x = 0 y = 1 ; then
1 = 0 +b b = 1
y = x + 1 ⇒ x = y - 1
The equation for the line between Q and R is:
m₂ = ( 1 - 2 ) / ( 4 - 1) m₂ = - 1/3
y = ( -1/3)× x + b
when x = 1 y = 2
2 = ( - 1/3)×(1) + b
2 + 1/3 = b
b = 7/3
y = - (x/3) + 7/3 ⇒ x = 7 - 3×y
The double integral becomes:
A = 2×∫∫ y² dx dy ⇒ A = 2 ×∫₁² y²dy ∫dx | (y - 1 ) y ( 7 - 3y)
A = 2 ×∫₁² y²dy × x | ( y - 1 ) y ( 7 - 3y)
A = 2 ×∫₁² y²dy × [ 7 - 3×y - ( y - 1 )]
A = 2 ×∫₁² y²dy × (8 - 4×y ) ⇒ A = 2 ×∫₁² (8×y² - 4×y³ ) dy
A = 2 × [ (8/3)×y³ - y⁴ | ₁²
A = 2 × [ 64/3 - 16 - (8/3) + 1 ]
A = 2 × ( 56/3 - 15 )
A = 2 × ( 56 - 45 /3)
A = 2 × 11/3
A = 22/3 square units
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