Answer:
D. 30-ounce box for $5.25 is the best buy
Step-by-step explanation:
To determine which is the better buy, we need to determine the unit rate for each. We will take the price and divide by the number of ounces. The best price is the smallest price per ounce.
A. 10-ounce box for $2.80
$2.80/10 = $.28 per ounce
B. 16-ounce box for $3.75
$3.75/16 = $.234375 per ounce
Rounding to the nearest cent
$.23 per ounce
C. 24-ounce box for $4.50
$4.50/24 = $.1875 per ounce
Rounding to the nearest cent
$.19 per ounce
D. 30-ounce box for $5.25
$5.25/30 =$.175 per ounce
Rounding to the nearest cent
$.18 cent per ounce
What is the 1st step? 2x-7=18
Answer:
The first step is to add 7 to each side
Step-by-step explanation:
2x-7 = 18
To solve this equation, the first step is to add 7 to each side
2x-7+7 = 18+7
2x = 25
Answer:
the first step is to add 7 to both sides.
Step-by-step explanation:
2x-7 = 18
+7 +7
2x = 25
divide by 2
25/2 = 12.5
so x= 12.5
Michael took his younger brother to the movies. Michael paid regular price, but it cost $2 less for his brother at the child price. It cost Michael $12 total for the movie. How much did it cost for his brother?
Answer:
$5
Step-by-step explanation:
So we know that altogether Michael paid $12 right?
So if his brother's price is x then his price is x+2
so 2x+2=12 x=5
Michael's brother's price was $5
and his was $7
In this mathematics problem, Michael's brother's movie ticket cost $10, arrived at by subtracting $2 from the total cost of $12.
Explanation:This is a simple subtraction problem. According to the problem, Michael paid $12 total, with his brother's ticket costing $2 less. Therefore, if we subtract $2 from Michael's ticket, we will have the cost of his brother's ticket.
Here are the steps:
Michael paid $12 in total,His brother's ticket was $2 less,So, subtract $2 from $12, which equals $10.Therefore, his brother's ticket cost $10.
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find d
a * a * a = 216
a * b * c = 96
b * c = 52
a + b + c = d
[tex]a\cdot a\cdot a=216\\\\a^3=216\to a=\sqrt[3]{216}\\\\\boxed{a=6}\\\\\text{Substitute}\ b\cdot c=52\ \text{to the second expression}\ a\cdot b\cdot c=96:\\\\abc96\ \wedge\ bc=52\to a(52)=96\qquad\text{divide both sides by 52}\\\\a=\dfrac{96}{52}\to a=\dfrac{24}{13}\neq6[/tex]
a = 6 and a = 24/13 FALSE!!!
Answer: NO SOLUTION.What is the value of the expression? tan 5π3
Answer:
[tex]tan(\frac{5\pi}{3})=\sqrt{3}[/tex]
Step-by-step explanation:
we are given
[tex]tan(\frac{5\pi}{3})[/tex]
we know that
[tex]tan(x)=\frac{sin(x)}{cos(x)}[/tex]
so, we can write our expression as
[tex]tan(\frac{5\pi}{3})=\frac{sin(\frac{5\pi}{3})}{cos(\frac{5\pi}{3})}[/tex]
now, we can use unit circle
[tex]sin(\frac{5\pi}{3})=-\frac{\sqrt{3} }{2}[/tex]
[tex]cos(\frac{5\pi}{3})=-\frac{1}{2}[/tex]
now, we can plug values
[tex]tan(\frac{5\pi}{3})=\frac{-\frac{\sqrt{3} }{2}}{-\frac{1}{2}}[/tex]
[tex]tan(\frac{5\pi}{3})=\sqrt{3}[/tex]
A new game is being constructed where the game board is going to have 8 rows and 10 spaces in each row. What is the smallest game that can be made?
Answer:
80 spaces
Step-by-step explanation:
What’s a complex conjugate in math
Answer:
Step-by-step explanation:
In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign. For example, the complex conjugate of 3 + 4i is 3 − 4i. In polar form, the conjugate of is.
A complex conjugate is the element of a complex number that has the same real part but an opposite-sign imaginary part, and multiplying a complex number by its conjugate yields a real number.
Explanation:A complex conjugate in mathematics is a paired element of a complex number that has the same real part but an opposite-sign imaginary part. When you have a complex number, let's call it A, which can be expressed in the form (a + ib) where 'a' is the real part and 'b' is the imaginary part, the complex conjugate of A, denoted as A*, would be (a - ib). One important property of complex conjugates is that when you multiply a complex number by its conjugate, you get a real number. This is because the product A* A = (a + ib) (a - ib) = a² + b².
For example, if a complex number is a = 3 + 4i, its complex conjugate would be a* = 3 - 4i. Multiplying a by its conjugate, we get a* a = (3 + 4i) (3 - 4i) = 9 + 16 = 25, which is a real number. This property is very useful, especially in fields such as quantum mechanics, where physical measurements must yield real numbers.
What is the value of h?
29 us. 2ft. 11 in. + 55 yd. 1 ft. 10 in. + 13 yd. 1 ft.3 in.
Answer:
99 yd
Step-by-step explanation:
When I add these, I line them up vertically
29 yd. 2ft. 11 in.
+ 55 yd. 1 ft. 10 in.
+ 13 yd. 1 ft. 3 in.
---------------------------
97 yd 4ft 24 in
We know that 12 in = 1 ft
so 24 in = 2ft
Subtract 24 in and add 2 ft
97 yd 4ft 24 in
+2ft -24 in
------------------------------
97 yd 6ft
We know 3 ft = 1yd
so 6ft = 2yd
Subtract 6ft and add 2 yd
97 yd 6ft
+2yd - 6ft
-------------------
99 yd
What's ten of the second power times 25.89
find the x intercept of the graph of the equation y equals -2.65 x + 25. what does the x intercept mean in terms of the situation
The x-intercept of the equation y = -2.65x + 25 is approximately 9.43. The x-intercept generally represents the value of x at which y is zero or the point where correlation between x and y starts.
Explanation:The x-intercept of a graph is the point at which the line crosses the x-axis. In terms of your equation y = -2.65x + 25, the x-intercept is found when y equals 0. By setting y equal to 0 and solving for x, we get: 0 = -2.65x + 25. Isolate x by dividing both sides by -2.65 and adding 25. This calculates to x ≈ 9.43. In terms of real life situations, the x-intercept often represents the value of x where y is nil or where the correlation between x and y begins. However, the real-world interpretation of this value depends on the context of the problem.
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2c=c+7 What are the steps to find the answer to this equation?
Answer:
c = 7
Step-by-step explanation:
given 2c = c + 7 ( subtract c from both sides )
c = 7
Graph each system. Tell whether the system has no solution, one solution, or infinitely many solutions.
y = 2x – 5
y + 5 = 2x
Answer: Infinitely many solutions
The second equation is equivalent to y = 2x - 5 when we subtract 5 from both sides, but this is the exact same as the first equation given to us. So we effectively have 2 copies of the same thing. One is just written in a different format.
Graphing these equations leads to the straight line. One line will be right on top of the other one. The two lines intersect an infinite number of times leading to infinitely many solutions. Any solution point is simply a point on the line y = 2x-5. The solution ordered pair is of the form (x,y) = (x, 2x-5). Two example points on this line are (0,-5) and (1,-3)
side note: We can say that this system is consistent (because it has at least one solution) and it's also dependent (because one equation depends on the other; or it is basically a copy)
a process of rounding the number to the first digit is called
Answer:
Rounding to the whole number or an estimation.
Step-by-step explanation: Pretty sure there isn't really a name for this
Rounding a number to its first digit is known as rounding to the nearest whole number. This method simplifies calculations while maintaining a number's approximate value.
Explanation:The process of rounding a number to its first digit is often referred to as rounding to the nearest whole number. For example, if you have a number like 4.58, rounded to the nearest whole number it's 5, because the number next to 4 is 5 which is equal or higher than 5. But if the number was 4.42, rounded to the nearest whole number it's 4, because the number next to 4 is 2 which is less than 5. This rounding method applies when you want to make calculations simpler, while still keeping the number's value close to what it was.
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Kendra lost one half of her allowance but her mother gave her four more dollars now she has $9 how much was her allowance
Final answer:
Kendra's original allowance was $10.
Explanation:
To find out how much Kendra's allowance was, we can use algebraic equations. Let 'x' represent Kendra's original allowance.
Kendra lost half of her allowance, which means she had x/2 left.
Then her mother gave her four more dollars, so now she has x/2 + 4.
Given that Kendra has $9, we can set up the equation x/2 + 4 = 9 and solve for x.
x/2 + 4 = 9
x/2 = 9 - 4
x/2 = 5
Multiplying both sides of the equation by 2, we get x = 10.
Therefore, Kendra's allowance was $10.
Which graph represents a direct variation between the quantities x and y
Answer:
Any graph which passes through the origin(0,0)
Step-by-step explanation:
To check a graph if it represents direct variation or not, one needs to check whether it passes through the origin or not .
So any graph which passes through the origin is of direct variation.
And in equation form : [tex]y=kx\\ y=mx +b\\[/tex]
⇒b=0 , m=k
So it is of direct variation if it passes through the origin (0,0)
Answer: its c
Step-by-step explanation: i just got it right
BRAINLIEST + Points please help me
John and Ted have a reputation for being late to events. If John is late 20% of the time, and Ted is late 40% of the time, what is the probability that both John and Ted will be on time? Show your work or explain how you got your answer.
The answer is:
The probability that both John and Ted will be on time is 48%.
Why?Since we are dealing with percentages, in order to make it easy to understand, let's remember that percentages are used to simplify the way we refer to something, talking in numeric terms. For example, meaning 100% it's equal to say that somethinh is complete, or absolute. Also, we can see the percentage as a ratio that is expressed as a fraction of the number 100 or [tex]\frac{1}{100}[/tex]
From the statement the know that John is late 20% of the time, making it easy to understand, it's equal to say that from 100 times, John is late 20 times.
So, calculating we have:
For John:
[tex]Probability=TotalTimes(percent)-LateTimes(Percent)\\\\Probability=100-20=80[/tex]
So, we have that the probability that John will be on time is 80%.
For Ted:
[tex]Probability=TotalTimes(percent)-LateTimes(Percent)\\\\Probability=100-40=60[/tex]
So, we have that the probability that Ted will be on time is 60%.
Now, to calculate the probability that both John and Ted will be on time, we need to calculate the combined probability. It can be calculated using the following equation:
[tex]CombinedProbability=Probability_{1}*Probability_{2}[/tex]
Let be:
[tex]Probability_{1}=80(percent)=\frac{80}{100}=0.8\\\\Probability_{2}=60(percent)=\frac{60}{100}=0.6[/tex]
So, substituting and calculating we have:
[tex]CombinedProbability=Probability_{1}*Probability_{2}[/tex]
[tex]CombinedProbability=0.8*0.6=0.48=48(percent)[/tex]
Hence, we have that the probability that both John and Ted will be on time is 48%.
Have a nice day!
183.92 round each number to the place of the underlined digit. The underline number is 3
Answer:
184
Step-by-step explanation:
We are rounding at the 3, so we need to look at the next digit 9.
9>=5 so we will round the 3 up to 4
183.92 rounds to 184
Answer:
184
Step-by-step explanation:
183.92
Look at the digit directly to the right of the given digit. It is a 9. Because 9 is greater than 3, round up.
183.92 rounded to the nearest one place is 184.
184 is your answer
~
Tyler makes $10 per hour at his job.The function f(x)=10x gives the amount of money Tyler makes after x hours.Graph this function and give its domain and range.
You will have the points: (0,0) and (1,10) and (2,20) and (3,30) etc etc
Plot at least 2 of these points. Then draw a line through them.
Each point has an x,y pair such that the y value is ten times the x value
For example, if x = 2, then
y = 10*x = 10*2 = 20
so that shows how (2,20) is one of the points.
-------------------
The domain would be the set of positive whole numbers assuming Tyler can only work a whole number of hours. If partial time values are accepted, then the domain would be the set of positive real numbers. Negative x values are not allowed as Tyler can't work negative 3 hours for instance.
In a similar fashion, the range is the set {0, 10, 20, 30, 40, ...} incrementing by multiples of 10 if x is the set of positive whole numbers. If x is the set of positive real numbers, then y can be 0 or larger which sets up the range of y being the set of positive real numbers as well.
What is the ratio forms a proportion with 16/20
4/10
32/50
8/12
4/5
Answer: D) 4/5
================================================
Explanation:
There are a few ways to see how this is the answer.
----------------
The first is to notice how 16/20 = 0.80 when using long division or a calculator. At the same time, 4/5 = 0.80 as well. So that means 16/20 = 4/5.
---------------
Another way to see how this works is to multiply top and bottom of 4/5 by 4. So we have 4*4 = 16 as the new numerator and 5*4 = 20 as the new denominator. Going in reverse, you can divide each piece of 16/20 by the GCF 4 to reduce this fraction into 4/5.
---------------
Finally, we can equate the two fractions and cross multiply
16/20 = 4/5
16*5 = 20*4
80 = 80
Both sides are the same value, so that confirms the original equation is true as well.
Solve: 7|x| = 42 brainliest thanks and ratting for help!
–6
–6 or 6
No solution
6
Answer:
–6 or 6
Step-by-step explanation:
7|x| = 42
We need to isolate the absolute value, so we will divide each side by 7
7|x|/7 = 42/7
|x| = 6
Now we remove the absolute values and set what is inside the absolute value equal to plus and minus what is on the right hand side
x = + 6 and x = -6
Answer:
Solve for x over the integers:
7 abs(x) = 42
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides by 7:
abs(x) = 6
Hint: | Eliminate the absolute value.
Split the equation into two possible cases:
Answer: x = 6 or x = -6
Step-by-step explanation:
A 5 gallon bucket of paint costs $97.45. What is the price per gallon?
Answer:
19.49 per gallon
hope it helps
Step-by-step explanation:
total pay ÷ number of gallon = the cost of each gallon
97.45 / 5 = 19.49 per gallon
AB passes through A(-3, 0) and B(-6, 5). What is the equation of the line that passes through the origin and is parallel to AB?
A.
5x − 3y = 0
B.
-x + 3y = 0
C.
-5x − 3y = 0
D.
3x + 5y = 0
E.
-3x + 5y = 0
Answer:
C. -5x − 3y = 0
Step-by-step explanation:
A(-3, 0) and B(-6, 5)
First we find the slope of line AB
[tex]slope = \frac{y_2-y_1}{x_2-x_1} =\frac{5-0}{-6+3} =\frac{-5}{3}[/tex]
Slope of the line parallel to AB = slope of line AB
When the lines are parallel then their slope are equal
So the slope of line parallel to AB = [tex]\frac{-5}{3}[/tex]
The line passes through the origin (0,0)
Use equation y-y1= m (x-x1)
m = -5/3 , x1=0 and y1=0
[tex]y-0 = \frac{-5}{3}(x-0)[/tex]
[tex]y= \frac{-5}{3}(x)[/tex]
multiply the whole equation by 3
3y = -5x
Subtract 3x from both sides
0=-5x-3y
-5x - 3y =0
The domain of the following relation R:
Answer:
{-3, 1, 6 }
Step-by-step explanation:
the domain is the values of x ( input) from the relation in ascending order.
Values are not repeated.
domain {- 3, 1, 6 }
Answer:
{- 3, 1, 6 }
Step-by-step explanation:
The domain is the values of x inputs from the relation in ascending order. Values cannot be repeated.
PLEASE HELP
[02.03] Solve for x: |2x + 6| − 4 = 20
x = 9 and x = 11
x = −9 and x = 15
x = 9 and x = −15
No solution
Answer:
x = 9 and x = −15
Step-by-step explanation:
|2x + 6| − 4 = 20
Add 4 to each side
|2x + 6| − 4+4 = 20+4
|2x + 6| = 24
Now we have an absolute value equation that has the absolute value isolated. We can separate them, have two equations, one positive and one negative.
2x+6 =24 and 2x+6=-24
Subtract 6 from each side
2x+6-6=24 -6 2x+6-6 = -24-6
2x = 18 2x =-30
Divide by 2
2x/2 = 18/2 2x/2 = -30/2
x =9 x=-15
Which circle shows AB that measures 60 degrees?
Answer:
Can you put a picture?
Step-by-step explanation:
Answer:
i need a picture
Step-by-step explanation:
1188 kilograms of rice divided into 7 sacks
Answer: 169.7
Step-by-step explanation:
Answer:
There are 1,014 kilograms of rice in 6 stacks of rice. 5 kilograms of rice remain.
Step-by-step explanation:
7 ÷ 1188 = 169
169 × 6 = 1,014
As an estimation we are told 5 miles is 8 km.
Convert 13.5 miles to km
Answer:
Step-by-step explanation:
5/13.5 x 8/x (cross multiple) 108/5 (divide) = 21.6
Question
As an estimation we are told 5 miles is 8 km.
Convert 13.5 miles to km
Answer:
21.6 KmStep-by-step explanation:
you can solve with an equation
5 : 8 = 13.5 : x
x = 8 * 13.5 : 5
x = 21.6
(2/9 v)-(-1/3v +5/9)
Answer:
(5/9)(v – 1)
Step-by-step explanation:
(2/9)v - ((-1/3)v +5/9) Remove parentheses
= (2/9)v + (1/3)v - 5/9 Multiply each term by 9/9
= (2/9)v + (3/9)v - 5/9 Combine like terms
= (2v + 3v)/9 -5/9 Combine like terms
= 5v/9 - 5/9 Factor out 5/9
= (5/9)(v – 1)
6+4=4+6 is an example of which property
communicative property of addition
associative property of addition
associative property of multiplication
communicative property of multiplication
Answer:
communicative property of addition
Step-by-step explanation:
associative property of addition is (EX) x + (a + 4) = (x + a) + 4
associative property of multiplication is (EX) 5(ab) = (5a)b
communicative property of multiplication is (EX) (2)(a) = (a)(2)
Final answer:
The equation 6+4=4+6 is an example of the commutative property of addition, stating that the order of addition does not affect the sum.
Explanation:
The equation 6+4=4+6 illustrates the commutative property of addition, which states that the order in which two numbers are added does not affect the sum. This is expressed mathematically as A+B=B+A. For ordinary numbers, if you add 2 + 3 or 3 + 2, for example, both expressions will equal to the same result - 5. The commutative property is also applicable to the addition of vectors, where the order of vectors being added together does not change the resultant vector.
Please help im on the verge of tears.
Set up a right triangle model for this problem and solve by using the reference table trigonometric ratio that applies.
Who gains altitude more quickly, a pilot traveling 400 mph and rising at an angle of 30 degrees, or a pilot traveling 300 mph and rising at an angle of 40 degrees?
Answer: The pilot traveling 400 mph rising at an angle 30 degrees is going to gain more altitude faster
======================================================
Explanation:
Draw out the triangles as you see in the attached image below. We'll use the sine rule because we want to tie together the unknown height (h) which is the opposite side of the reference angle, to the known hypotenuse (the speed of the aircraft)
For the first plane,
sin(angle) = opposite/hypotenuse
sin(30) = h/400
h = 400*sin(30)
h = 200
so the first plane is gaining altitude at 200 mph (each hour, the plane is 200 miles higher up)
For the second plane
sin(angle) = opposite/hypotenuse
sin(40) = h/300
h = 300*sin(40)
h = 192.836282905961
h = 192.84
which is smaller than the previous result (200)
So we see that the first plane is rising faster
Answer:
a pilot traveling 400 mph and rising at an angle of 30 degrees
Step-by-step explanation: