For 21 cans she has to pay $28.
What is Unitary method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Steps to Use Unitary MethodFirst, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.
Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.
Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.
Given:
cost of 9 cans = $12
cost of 1 can= 12/ 9
= 4/3
Now, cost of 21 cans = 21* 4/3
= 7*4
= $28
Hence, for 21 can she has to pay $28.
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A relation contains the points (negative2, 4), (negative1,1), (0,0), (1,1), and (2,4). Which statement accurately describes this relation?
Answer:
We have the points:
(-2,4), (-1, 1), (0, 0), (1, 1), (2, 4)
First, we can see a symmetry around the point (0, 0), then this is an even function. Where an even function is a function f(x) such that:
f(x) = f(-x)
And in this case we have:
f(-2) = 4 = f(2)
f(-1) = 1 = f(1)
Now, we can also assume that this is a quadratic function (or it behaves like a quadratic function near the range [-2, 2]).
Such that:
f(x) = a*x^2 + b*x + c
Now let's use the known points to find our equation, we start with (0, 0)
f(0) = 0 = a*0^2 + b*0 + c
then c = 0.
f(x) = a*x^2 + b*x
Now let's use the points (1, 1) and (-1, 1)
f(1) = a*1^2 + b*1 = 1 = a*(-1)^2 + b*-1
a + b = a - b
+b = -b
2*b = 0
Then we must have b = 0
f(x) = a*x^2
And now we can use the point (2, 4)
f(2) = 4 = a*2^2 = a*4
Then a = 1.
Our function is f(x) = 1*x^2
Which angles are alternate interior angles explain
Answer:
The answer is D.
Step-by-step explanation:
hope that helps
What comes between 1/2 and 2/3
Answer:
3/5
Step-by-step explanation:
1/2 can be written as 50%
2/3 can be written as 66.66%
3/5 can be written as 60%
Here
Step-by-step explanation:
The example fractions of 1/2, 2/3 and 3/4 with common denominators become 6/12, 8/12 and 9/12. The numerator 8 is between 6 and 9, so the fraction you created – 8/12, or 2/3 when simplified – is between the two fractions you started with.
What value of x makes the following equation true?
15+3x=3(2−2x)
Answer:
[tex]\boxed {x = -1}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]15 + 3x = 3(2 - 2x)[/tex]
-Use Distributive Property:
[tex]15 + 3x = 3(2 - 2x)[/tex]
[tex]15 + 3x = 6 - 6x[/tex]
-Take [tex]6x[/tex] and add it to [tex]3x[/tex]:
[tex]15 + 3x + 6x = 6 + 6x - 6x[/tex]
[tex]15 + 9x = 6[/tex]
-Subtract both sides by [tex]15[/tex]:
[tex]15 - 15 + 9x = 6 - 15[/tex]
[tex]9x = -9[/tex]
-Divide both sides by [tex]9[/tex]:
[tex]\frac{9x}{9} = \frac{-9}{9}[/tex]
[tex]\boxed {x = -1}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]-1[/tex].
find the measure of 0. (to the nearest tenth).
A) 36.9
B) 38.7
C) 51.3
D) 53.1
Answer:
B) 38.7
Step-by-step explanation:
Answer:
A) 36.9
Step-by-step explanation:
took the test :)
Anybody know the answer to this ?
Answer:
13.08 United States Dollars
Solve for www. -4(w+1) = -24
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
-4w-4=-24
-4w=-24+4
-4w=-20 to find w divide both side by -4
-4w/-4 =-20/-4
w=5
Find the 15th term of the arithmetic sequence whose common difference is d = 8 and whose first term is a,=5.
Answer:
117
Step-by-step explanation:
Tn=a+(n-1)d
5(15-1)8
117
8x-2 (6x + 4) simplify by using the distributive property
Answer:
48x^2+ 20x-8
Step-by-step explanation:
Alex and two friends paid $21.75 to see a movie.How much did each
ticket cost
Answer:
Alex and his two friends had to pay $ 7.25 for a ticket.
Step-by-step explanation:
simply divide $21.75 by 3
Answer:
i believe its $7.25
Step-by-step explanation:
$21.75 divided by 3 = $7.23
Help me plzzz i need help.
Answer:
Perimeter: 7.8Area: 3.1Step-by-step explanation:
Perimeter = all sides added up together2.8 + 2.8 + 1.1 + 1.1 = 7.8Area = L × W2.8 × 1.1 = 3.08Round 3.08 to the nearest tenth: 3.08 → 3.1I hope this helps!
A student wants to determine if different types of soil, A and B, affect the propagation of African violets. One hundred leaves from the same variety of African violet were selected. The leaves were then randomly assigned to 50 pots with type A soil and the remaining leaves were put into the 50 pots with type B soil. All of the pots were given the same amount of water and arranged in 10 rows of 10 pots near a window for light. The 50 pots with type A soil were placed closest to the window. At the end of two months, the pots with type A soil had the greatest number of pots with new growth, so the student concluded that soil type A was more effective that soil type B.
Is this a valid conclusion?
Yes, because the leaves were randomly assigned, this evenly distributed the variability in the leaves; therefore, type A soil is more effective than type B soil.
Yes, because the amount of water and light were controlled, this may have reduced the variability in the response; therefore, type A soil is more effective than type B soil.
No, because the pots with type A soil were closest to the window, they received more light, which may have led to the new growth.
No, because only African violets were used, replication was not properly implemented; therefore, we cannot conclude that type A soil was more effective.
Answer:
C
Step-by-step explanation:
No, because the pots with type A soil were closest to the window, they received more light, which may have led to the new growth. Option C is correct.
Given that,
A statement is given we have to justify which among the option is the correct reason.
The statistic is the study of mathematics that deals with relations between comprehensive data.
Here,
The pots with type A soil received more light because they were closer to the window, which may have resulted in new growth.
So, the valid conclusion is mentioned in option C.
Thus, Option C is correct.
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Write each set of numbers in set-builder and interval notation
X>50
Answer:
[tex]\{x\ E\ Z\ |\ x > 50\}[/tex] ---- Set Builder
(50, ∞) ---- Interval Notation
Step-by-step explanation:
Given
x > 50
Required
Write as a
- Set builder
- Interval notation
As Set Builder:
x > 50 means that x is an integer and x is greater than 50.
In set builder notation, integers are represented with z.
So, the above can be represented as:
[tex]\{x\ E\ Z\ |\ x > 50\}[/tex]
This translates to:
x is a member of the set of integers such that x is greater than 50
As Interval Notation:
In interval notation, we make use of brackets to represent the intervals.
In this case > is represented by (a,b)
Where a and b are the intervals of the notation
Since x > 50, then a = 50 and b = ∞ because we only know the starting point and not the end point.
Hence: x > 50 in interval notation is (50, ∞)
Suppose the owner of a local apple orchard has 4 half-bushels of apples to sell. He loads them on his truck, and drives his route, stopping at stores along the way attempting to sells the apples. Suppose:
- Each half-bushel is sold for $40.
- It will cost $15 of gas to drive the route.
Historically, the orchard owner knows he will have a 40% chance of making no sales, a 30% chance of selling 1 half-bushel, a 10% chance of selling 2 half-bushels, and a 10% chance of selling 3 half-bushels.
(a) Calculate the orchard owner’s expected profit from driving the route.
(b) Calculate the standard deviation of the profit from driving the route.
Answer:
a) The orchard owner's expected profit from driving the route is $33.
b) The standard deviation of the profit is $27.28
Step-by-step explanation:
a) Data and Calculations:
Apples to sell = 4 half-bushels
Price of each half-bushel sold = $40
Sales revenue = $160 ($40 *4)
Cost of driving the route = $15
Expected values:
Event Probability Revenue Profit Expected Profit
No Sales 40% $0 ($15) ($0 - $15) ($6.00)
Selling 1 half-bushel 30% $40 $25 ($40 - $15) $7.50
Selling 2 half-bushels 10% $80 $65 ($80 - $15) $6.50
Selling 3 half-bushels 10% $120 $105 ($120 - $15) $10.50
Selling 4 half-bushels 10% $160 $145 ($160 - $15) $14.50
Total expected profit = $33
Event Expected Profit Mean Squared
Difference
No Sales ($6.00) -39 1,521
Selling 1 half-bushel $7.50 -25.5 650.25
Selling 2 half-bushels $6.50 -26.5 702.25
Selling 3 half-bushels $10.50 -22.50 506.25
Selling 4 half-bushels $14.50 -18.50 342.25
Sum of squared differences 3,722
Mean of squared differences = 744.4 (3,722/5)
Standard deviation = square root of the mean
= 27.28
= $27.28
A coat discount 40% off it's regular price. Which value is equivalent to 40%
Use the normal distribution to compute probability with technology - Calculator Question Suppose that the annual household income in a region is normally distributed with mean $25,000 and standard deviation $6,000. If the poverty level for the region is at or below $12,000, what percentage of the population lives in poverty? • Round your answer to two decimal places.
Answer:
0.02
Step-by-step explanation:
Given a normal distribution :
Mean income (m) = 25000
Standard deviation of income (s) = 6000
X ≥ 12000
Using the relation to fund the standardized score :
Zscore =(x - m) / s
Zscore = ( 12000 - 25000) / 6000
Zscore = -13000 / 6000
Zscore = - 2.167
Using a z probability calculator :
P(Z ≤ - 2.167) = 0.015117
= 0.02
Find the next term of the following sequence. 25,10,4
Answer:
8/5
Step-by-step explanation:
25/10=2.5, 10/4=2.5, 4/2.5=1.6
Solve this 2 step equation 3x-7=20
Answer:
x=9 if thats what your asking
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
3x-7=20
3x=20+7
3x=27
X=27/3
X=9
So the value of X is 9
PLEASE HELP NEED IN 10 MINUTES
Students in Ms. Castillo's art classes could choose to make a sculpture or paint a picture as their
final project. The ratio of those who chose to make a sculpture to those that chose to paint a
picture was 3 to 7. There were 24 students who chose to make a sculpture. Let p be the number
of students who chose to paint a picture. Set up a proportion that will allow you to solve for the
value of p.
Answer:
8:56
Step-by-step explanation:
3:7
24/3=8
8 times 7=56
20 plus 4000???????
Answer:
4020
Step-by-step explanation:
I'm such a smart man
The number of home runs hit by Hank Aaron, the all-time leader, is 755. This
has an order of magnitude of 4
A. True
B. False
Answer:
True
Step-by-step explanation:
Hope this helped :)
Answer:ITS FALSE!!
Step-by-step explanation:
Which linear regression equation best fits the given points?
(1,18), (4,15), (5,11), (8,9), (10,7), (13,4), (15,0)
yˆ=65x+19.2
yˆ=56x−19.2
yˆ=−65x+18.9
yˆ=−56x−18.9
Answer:
Here you go! Hope I am not to late..
Step-by-step explanation:
I took the test.
Over the period of a year, Julie’s net worth decreased. Which of the following could be true? a. Julie’s assets and liabilities decreased by the same amount. b. Julie’s assets and liabilities increased by the same amount. c. Julie’s assets increased by more than her liabilities. d. Julie’s assets decreased by more than her liabilities. Please select the best answer from the choices provided A B C D
Answer:
D. Julie’s assets decreased by more than her liabilities.
Hope it helps❣️
What mathematical property is represented by the equation below
c+d=d+c
Answer:
Step-by-step explanation:
c+d=d+c
Associative Property
PLEASE HELP FAST AND CORRECT! 50 POINTS
Answer:
So glass 2/3 full than full 2/3 glass so full 3 than so
Step-by-step explanation:
SOURCE TRUST ME BRO
Brian is playing a carnival game. He is blindfolded while he throws a dart at a board of 12 balloons, as shown below. Each balloon is labeled "S" for small, "M" for medium, "L" for large, or "XL" for extra-large. The board has 3 small balloons, 5 medium balloons, 2 large balloons, and 2 extra-large balloons. He hits one of the balloons at random and wins a stuffed animal of that size.
Calculate the volume
Please show the steps...
Answer:
(a) 2.6 m^2
(b) 3.9 m^3
Step-by-step explanation:
(a)
ABCD is a trapezoid.
A = (B + b)h/2
A = (1.7 m + 2.3 m)(1.3 m)/2 = 2.6 m^2
(b)
The skip is shaped like a prism with trapezoidal bases.
V = area of base * height
V = 2.6 m^2 * 1.5 m = 3.9 m^3
If {x) = 3x + 2, what is (5)?
You mean f(x) = 3x+2 and what is f(5)?
f(5) = 3(5)+2
f(5) = 15+2
f(5) = 17
So f(5) = 17
Which fraction is less than 1/2?
A. 3/8
B. 5/8
C. 5/7
D. 9/16
Answer:
a. vfsvcsgefceveggevehe
URGENT HURRY ILL MAKE YOU BRAINIEST IF YOU ANWSER. Mae ling earns a weekly salary of $375 plus a 7.5 commission on sales at a gift shop how much would she make in a work week if she sold 4,600 worth of merchandise
Answer:
I think the answer is 720!
Step-by-step explanation: