Answer:
gallon bottle
Step-by-step explanation:
There are 8 pints in a gallon, so 8 of the 2-pint bottles would be equivalent to 2 gallons. The cost of those would be ...
8 × $1.86 = $14.88
This is greater than the $10.56 cost of a 2-gallon bottle, so the 2-gallon bottle offers a better buy for an equivalent quantity.
__
Additional comment
You could compare unit rates in terms of any of cost per ounce, cost per pint, cost per quart, cost per gallon. All that is needed is the cost for an equivalent quantity, or the quantity for an equivalent cost.
Or, one can look at cost and quantity ratios. The cost ratio is 10.56/1.86 ≈ 5.68; the quantity ratio is (16 pints)/(2 pints) = 8. The gallon size gives 8 > 5.7 times the product for 5.7 times the cost, so it is the better buy.
The length of a rectangle is 6 inches more than the width. If the perimeter is 68 inches, what are the length and the width?
Answer: The length of the rectangle would be 20 inches and the width would be 14 inches.
Step-by-step explanation:
If the length is 20, first, it’s 6 more than 14, and second it would add up to 40. If the width is 14, it’s 6 less than 20, and adds up to 28. If you add those two together, you’d get your total of 68 inches for the perimeter!
14) Select all of the equations for which
x=3 is a solution.
18
A) = 6
6
B) x2=9
C) 5x = 15
D) 32 - x = 35
E) 202 + x) = 12
Answer:
D
Step-by-step explanation:
it is d because you have to subtract that to get 35
median of 13, 6, 24, 18, 33, 5, 13, 48, 9, 11, 36, 28, 15, 6, 13
Answer:
13
Step-by-step explanation:
Given:
13, 6, 24, 18, 33, 5, 13, 48, 9, 11, 36, 28, 15, 6, 13
To Find:
Median
Note:
Finding Median:
⇒ Arrange data values from lowest to highest value
⇒ The median is the data value in the middle of the set
⇒ If there are 2 data values in the middle the median is the mean of those 2 values.
Solve:
5, 6, 6, 9, 11, 13, 13, 13, 15, 18, 24, 28, 33, 36, 48
5, 6, 6, 9, 11, 13, 13, 13, 15, 18, 24, 28, 33, 36, 48
5, 6, 6, 9, 11, 13, 13, 13, 15, 18, 24, 28, 33, 36, 48
5, 6, 6, 9, 11, 13, 13, 13, 15, 18, 24, 28, 33, 36, 48
5, 6, 6, 9, 11, 13, 13, 13, 15, 18, 24, 28, 33, 36, 48
5, 6, 6, 9, 11, 13, 13, 13, 15, 18, 24, 28, 33, 36, 48
5, 6, 6, 9, 11, 13, 13, 13, 15, 18, 24, 28, 33, 36, 48
5, 6, 6, 9, 11, 13, 13, 13, 15, 18, 24, 28, 33, 36, 48
As you can see now.. Median is 13
[RevyBreeze]
Answer:
Median Arrayed Data :From ascending order; 5,6,6,9,11,13,13,13,15,18,24,28,33,36,48
Now,
Median= n+1/2
=15+1/2
=16/2
=8
5,6,6,9,11,13,13,13,15,18,24,28,33,36,48
Median = 8 th term= 13.
Hence the median is 13.
The table shows the number of gallons of gas used and the number of miles driven. Gallons of Gas Used 12 15 18 12 14 16 Miles Driven 300 400 450 350 400 450 Is the resulting data set a function? Explain your reasoning. A The table is a function. The function can have more than one input value paired with the same output value. B The table is a function. The function can have more than one output value paired with the same input value. C The table is not a function. The function cannot have different input values paired with the same output value. D The table is not a function. The function cannot have the same input value paired with different output values.
There is one input being mapped into two different outputs, so this is not a function. The correct option is D.
What is a function?A function is a relation that maps elements from one set (the domain) into elements from another set (the range). Such that each element from the domain can be mapped into only one element from the range.
In this case, the table is:
Gallons of Gas Used: 12 15 18 12 14 16Miles Driven: 300 400 450 350 400 450So, the input "12" appears twice, the first time is mapped into 300 miles, and the second time is mapped into 350.
So the same value from the domain is being mapped into two different values of the range, meaning that this is not a function. So the correct option is D.
If you want to learn more about functions, you can read:
https://brainly.com/question/13136492
51
G
F
H
E
-3
0
A
D
В
C
A. Reflection across the x-axis followed by reflection across the y
axis
B. Rotation of 90° clockwise about the origin
across the x-axis
Answer: A
Step-by-step explanation:
Straight away, we can see there is some sort of reflection over the y-axis.
Eliminate B and D.Then, we can see that, there is a reflection over the x-axis.
Eliminate C.This matches up with A.
A legend reads 1cm:15cm. If the scale drawing shows a ball that is 10cm in diameter, then what is the diameter of the ball in real life?
The diameter of the ball in real life given the scale of the drawing is 150cm.
What is the scale of the drawing?A scale drawing is a reduced form in terms of dimensions of an original image / building / object
Scale of the drawing = original dimensions / dimensions of the scale drawing
10cm x 15 cm - 150cm
To learn more about scale drawings, please check: https://brainly.com/question/26388230
need a lot of help
Determine the value of the expression -3.75 +4.35 -6.55.
-3.75 +4.35 -6.55
-3.75 + 4.35 = 0.6
0.6 - 6.55 = - 5.95
- 3.75 + 4.35 - 6.55 = - 5.95
Martin jogged around the lake in 114
hour. Esperanza jogged around the lake in 56
hour. How much longer did Martin take than Esperanza in hours?
Answer:
58 Hours
Step-by-step explanation:
Given:
Martin~114 hours
Esperanza~56
Explanation:
The questions asks "How much longer". When this is asked, we know that we must subtract.
114-56=58
Answer: 58
Find the value of xx, yy, and zz, in the rhombus below.
Answer:
Step-by-step explanation:
A rhombus is a quadrilateral where all four sides are equal and the opposite angles are equal.
3x - 4 = 3y + 8 = -2x - 9 = 39
The value of x is 43/3
The value of y is 31/3
The value of z is -24
What is a rhombus?A rhombus is a quadrilateral where all four sides are equal and the opposite angles are equal.
We have,
Rhombus:
All four sides are equal.
So,
3x - 4 = 3y + 8 = -2x - 9 = 39
Now,
3x - 4 = 39
3x = 39 + 4 = 43
3x = 43
x = 43/3
3y + 8 = 39
3y = 39 - 8
3y = 31
y = 31/3
-2z - 9 = 39
-2z = 39 + 9
-2z = 48
z = -24
Thus,
The value of x is 43/3
The value of y is 31/3
The value of z is -24
Learn more about rhombus here:
https://brainly.com/question/12665650
#SPJ2
4. Find the measure of one exterior angle of a regular octagon.
Answer:
Solving method
360°÷8 (number of sides)
= 45°
Choose the symbol that correctly compares these numbers.
56.248 ? 56.246
A.
=
B. >
C. <
Help pls!
Answer:
Answer is B cuz the former no. is bigger than the latter
Dose this image show an enlargement or reduction
Answer:
reduction
Step-by-step explanation:
This image shows a reduction of the triangle because the original image of the triangle has a side of 3.4. The image on the right has a shorter length: 1.7. From the information that is given, the image shows reduction.
NO LINKS!! Solve each triangle. Please show work!!
1. a= 3, b= 4, C= 40°
2. a= 3, c= 2, B= 110°
3. a= 12, b= 13, A= 120°
4. a= 12, b= 13, c= 5
For problems 1, 2, and 4, check out this link
https://brainly.com/question/27021415
as they were answered there earlier.
=======================================================
Problem 3
Answer: Not possible to solveA triangle cannot be constructed with these parameters.
----------------------------
Explanation:
Use the Law of Sines to find angle B
sin(A)/a = sin(B)/b
sin(120)/12 = sin(B)/13
sin(B) = 13*sin(120)/12
sin(B) = 0.93819419
B = arcsin(0.93819419) or B = 180 - arcsin(0.93819419)
B = 69.75047247 or B = 180 - 69.75047247
B = 69.75047247 or B = 110.24952753
These angle values are approximate.
-----------
If B = 69.75047247, then,
A+B+C = 180
C = 180 - (A+B)
C = 180 - (120 + 69.75047247)
C = -9.75047247000001
We get a negative result which isn't valid.
This means B = 69.75047247 isn't valid either.
-----------
If B = 110.24952753, then,
A+B+C = 180
C = 180 - (A+B)
C = 180 - (120 + 110.24952753)
C = -50.24952753
We get a similar conclusion here as well.
-----------
No matter what value of B we go with, we end up with a negative value for angle C.
Negative angles are not allowed.
Therefore, we cannot construct a triangle with sides a = 12, b = 13 and angleA = 120 degrees.
This is one example of an SSA triangle leading to no possible solutions. Refer to the SSA ambiguous case for more info.
-----------
Check out the diagram below. Imagine that point B can be anywhere on the dotted circle. Imagine it can rotate around as in an animation. This circle is centered at point C and has radius a = 12. No matter where point B is placed, we cannot get it to land on the horizontal line to therefore form a triangle. Simply put: side a = 12 is too short.
I used GeoGebra to make the diagram and make sure it's to scale. This is to visually verify that we cannot construct such a triangle with these parameters.
Convert: 5,928 milliliters = ______ liters
0.5928 liters
5,928,000 liters
592.8 liters
5.928 liters
Answer:
5.928 liters is the correct answer
Step-by-step explanation:
Since 1 milliliter is 0.001 liters
Multiply both values by 5928.
1 x 5928 equals 5928 0.001 x 5928 = 5.928Therefore... 5928 milliliters equals 5.928 which is letter D
Answer:
The answer is 0.5928 liters
Step-by-step explanation:
1 liter is made of 1000 milliliters
So 5,929 ÷ 1000
gives us 0.5928
Which functions are even?
1.) f(x) = x4 – x2
2.) f(x) = x2 – 3x + 2
3.) (x) = -2)
4.) f(x) = 5x1
Answer:
1. Even
2. Neither
3. Even
4. Odd
Equations: 1 and 3 are even
Step-by-step explanation:
1. f(-x) = (-x)^4 - (-x)^2
= x^4 - x^2 Even
2. f(-x) = (-x)^2 - 3(-x) + 2
= x^2 + 3x + 2 Neither
3. f(-x) = -2
= -2 Even
4. f(-x) = 5(-x)
= -5x Odd
I hope this helps!
The continuous random variable N has a normal distribution with mean 7.5 and standard deviation 2.5. For which of the following is the probability equal to 0 ?
P(N=8)
P(N>8)
P(N<8)
P(7 8)
Using the normal distribution, it is found that P(X = 8) is equals to zero.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.As in any continuous distribution, the probability of an exact value, that is, P(X = x), is of 0.Hence, from the last bullet point, it is found that P(X = 8) is equals to zero.
More can be learned about the normal distribution at https://brainly.com/question/24663213
Base 10 refers to which number system?
Answer:
Base 10 is always the decimal system which is from (0-9).
pls help with this
Suppose PQR is rotated 90 about the origin, (0,0). Find the coordinates of P,Q , and R . Then sketch P Q R .
Answer:
3,2
Step-by-step explanation:
Increase 400 by 10% and then decrease the answer by 10%
Answer:80
Assume the number to be 400 for instance,
10% of 400 increased = 400 + ( 10/100 × 400 )
= 400 + 40 = 440
The resulting number decreased by its 10% = 400 - (10/100 × 400)
= 400 - 40 = 360
Now, net decrease = 440 - 360 = 80
Answer:
400.
10% of 400 is 40 (Simply reduce the hundreds place to the tens place)
So now we have 440.
Decrease it by 10% again, and that brings you right back to 400.
Find the value of xx, yy, and zz, in the rhombus below.
Answer:
Step-by-step explanation:
If the radius of a circle is decreased by 20%, find the percentage decrease in its area.
Answer:
36%
Step-by-step explanation:
Area of circle is
[tex]\pi {r}^{2} [/tex]
If the radius is decreased by 20%. Then the radius will be
80% of the original radius.
So our radius is 0.8.
So our area is
[tex]\pi(0.8r) {}^{2} [/tex]
[tex]\pi(0.64 {r}^{2} )[/tex]
Since pi is constant, the radius only really matters.
We went from
[tex]1 {r}^{2} [/tex]
to
[tex]0.64 {r}^{2} [/tex]
So our area will decrease by 36%
Proof: Let the radius be 10.
So the area of circle will be
[tex]\pi(10) {}^{2} = 100\pi[/tex]
Let our other radius is 8 because 8 is a 20% decrease of the orginal radius
[tex]\pi(8) {}^{2} = 64\pi[/tex]
Next, we subtract the area to find decrease in area
[tex]100\pi - 64\pi = 36\pi[/tex]
Since pi is constant, we can ignore it so our decrease in area is 36%
What is 8/9 of 3/8?
A. 11/72
B. 2/7
C. 1/3
D. 3/7
Answer:
1/3
Step-by-step explanation:
2^3 + 4m divided by 2 when m = 1.5
help me pls
Answer:
The answer should be 7
Step-by-step explanation:
2³ = 8
4 x 1.5 = 6
8 + 6 = 14
14 ÷ 2 = 7
here a subtraction problem that has been solved incorrectly for 21-9=11 choose the addition sentence that check this subtraction problem the choices are 21-9=11 29+9=30 what is the correct answer but my answer came to 21+9=30 all it said is change it to a addition problem
Answer:
11+ 9 = 20
Step-by-step explanation:
=> 21-9=11
21 - 9 equals to 11 is actually a wrong answer
So in order to find the subtraction problem that will help us truly know whether the equation is wrong
=> 11+ 9 = 20
OR THE SECOND EQUATION IS
=> 21 - 11 = 10
Which of the following proves
Answer:
option B
Step-by-step explanation:
hey mate i think it is option B
i hope it helps
Urgent!!! Simplify the complex rational expression?
Answer:
(3x +2w)/(2x -3w)
Step-by-step explanation:
The usual rules for adding and dividing fractions apply:
(a/b) +(c/d) = (ad +bc)/(bd) . . . . . . . use a common denominator
(a/b)/(c/b) = a/c . . . . . . . . . . . . same denominators "cancel"
__
[tex]\dfrac{\dfrac{3}{w}+\dfrac{2}{x}}{\dfrac{2}{w}-\dfrac{3}{x}}=\dfrac{\dfrac{3x+2w}{wx}}{\dfrac{2x-3w}{wx}}=\boxed{\dfrac{3x+2w}{2x-3w}}[/tex]
Help i don’t understand this question
Answer:
828 in²
Step-by-step explanation:
To find the surface area of a triangular prism, you find the area of each side and add them together.
Find the area of each rectangular side:
Side 1 : 9 × 20 = 180 in²
Side 2 : 15 × 20 = 300 in²
Side 3 : 12 × 20 = 240 in²
Find the area of the triangular sides:
Area of a Triangle = [tex]\frac{1}{2}[/tex]bh
As you can see, 9 and 12 both work as the height/base for the triangular sides, so
Δ Side 1 = [tex]\frac{1}{2}[/tex]bh = [tex]\frac{1}{2}[/tex](9)(12) = 54
Δ Side 2 is also 54.
Add the areas of all the sides together:
180 + 300 + 240 + 54 + 54 = 828 in²
Find the difference of the complex numbers.
(7 +3i)-(3-7i)
O A. 4 + 10i
O B. 10-4i
O C. 4- 4i
O D. 10 + 10i
Answer:
A) 4+10i
Step-by-step explanation:
(7+3i)-(3-7i)
7+3i-3-(-7i)
7+3i-3+7i
7-3+3i+7i
4+3i+7i
4+10i
Two cars leave New York at the same time traveling in opposite directions. One travels at an average speed of 59mph and the other at 58mph. In how many hours will they be 468 miles apart?
Answer: In 4 HOURS they will be 468 miles apart.
Step-by-step explanation:
1st car DATA:
rate = 59 mph ; time = x hrs. ; distance = 59x miles
2nd car DATA:
rate = 58 mph ; time = x hrs. ; distance = 58x miles
EQUATION:
distance + distance = 385
59x + 58x = 468
117x = 468
x = 4 hours.