The unit price of one pencil is $0.60.
Explanation:The cost of one pencil (the unit price) can be found by dividing the total cost by the number of pencils. In this case, we have $3.60 divided by 6. This gives us a unit price of $0.60 per pencil.
Step by step solution
Identify the total cost, which is $3.60, and the total number of pencils, which is 6. Divide the total cost by the total number of pencils: $3.60 ÷ 6 = $0.60. Therefore, the unit price for these pencils is $0.60 each.Learn more about Unit Price here:
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A child’s toy harp is in the shape of a trapezoid as shown.
In square inches, what is the area of the harp?
Hello! your answer is going to be 64 square inches.
The equation to get this is as listed:
[tex]Area = \frac{Base1+Base 2}{2} * Height[/tex]
I hope this helps, and have a nice day!
Answer:
a = 64 ft²
Step-by-step explanation:
a = a + b (h)
2
a = 4 + 12/2 (8)
a = 16/2 (8)
a = 8 (8)
a = 64 ft²
What is the distance between two points located at (–6, 2) and (–6, 8) on a coordinate plane?"
Answer:
4 units
Step-by-step explanation:
X coordinate never changed so you just need to subtract 2 from 8 to see the unit difference.
The distance between the two points (-6, 2) and (-6, 8) on a coordinate plane is 6 units, as they share the same x-coordinate, and the distance can be found by the absolute value of the difference in y-coordinates.
The distance between two points on a coordinate plane can be determined by finding the absolute difference between their x-coordinates if they share the same x-coordinates or their y-coordinates if they share the same y-coordinates. Since the points (-6, 2) and (-6, 8) share the same x-coordinate, we can subtract the y-coordinates to find the distance:
Distance = |y2 - y1|
= |8 - 2|
= |6|
= 6 units
Therefore, the distance between the two points located at (-6, 2) and (-6, 8) on a coordinate plane is 6 units.
How old am i if 500 reduced by 3 times my age is 266
Hey there!
Let's start by making an equation to represent this.
500 - 3a = 266
Reduced by is the same as subtracting, and a represents age.
Subtract 500 from both sides.
-3a = -234
Divide each side by -3.
a = 78
Check.
500 - 3(78) = 266
500 - 234 = 266
266 = 266
You are 78 years old.
Hope this helps!
Answer: Age=78
Step-by-step explanation:
500-(3xAge)=266
500-266=3xAge
(500-266)/3 = Age
need help anyone know the answer
Answer:
5 and 6
Step-by-step explanation:
5 and 6
What is the surface area of the regular pyramid?
You would have to do 18x2 then 14x2.
Answer:
Step-by-step explanation:
Surface area = [tex]lw+l\sqrt{(\frac{w}{2})^2+h^2}+w\sqrt{(\frac{l}{2})^2+h^2}[/tex]
just put the values in the formula h=18,w=14,l=14
Please help me!
I have problem understanding.
Please give me workings
Answer:
A)7
B)14
C)20
D)18
Step-by-step explanation:
For example 2/5 of 80
2/5 x 80/1 =32 Cross cancel
What is the inverse of the following statement? If it is night, the street lights will come on. Select the best answer from the choices provided. A. If the street lights come on, then it is night. B. The street lights will come on if it is night. C. If it is not night, then the street lights will not come on. D. If the street lights do not come on, then it is not night.
ANSWER
C. If it is not night, then the street lights will not come on.
EXPLANATION
The given statement is
"If it is night, then the street lights will come on"
Given the statement,
"If p, then q",
then the inverse of this statement is
"If it is not night,then the street lights will not come on"
"If not p, then not q"
The correct choice is C.
The inverse of a conditional statement is created by negating both the hypothesis and the conclusion. Thus, the inverse of the statement 'If it is night, the street lights will come on.' is 'If it is not night, then the street lights will not come on.'
Explanation:The question is asking for the inverse of a given statement. In logic, the inverse of a conditional statement is created by negating both the hypothesis and the conclusion. The original statement: 'If it is night, the street lights will come on.' becomes 'If it is not night, then the street lights will not come on.' in its inverse form. So, the correct answer is C. If it is not night, then the street lights will not come on.
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the expression below is a factorization of which of the following trinomials (3x-4)(x-1)
3x^2 - 7x + 4
Hope this is the answer you're searching for
Solve the system of equations and choose the correct answer from the list of options
2x+y=-4
y=3x+2
(-6/5,-8/5)
(-8/5,-6/5)
(-6/5,-11/5)
(-11/5,-6/5)
Answer:
uh
Step-by-step explanation:
uh
Answer:
The distance between all the points is 62 when u add the distances of them together.
Step-by-step explanation:
Type the correct answer in each box. If necessary, use / for the fraction bar(s). Given: AB || CD . If the coordinates of point A are (8 , 0) and the coordinates of point B are (3 , 7), the y-intercept of AB is _____ . If the coordinates of point D are (5 , 5), the equation of line CD is y = ___ x + ___ .
Answer:
Im not sure about the other 2 but the last box is 12, the answer above is incorrect for PLATO. I just took the test.
The y-intercept of line AB is 0, and the equation of line CD is y = 5.
Explanation:The y-intercept of a line is the point where it intersects the y-axis. In this case, we are given the coordinates of point A as (8, 0). Since the y-coordinate of point A is 0, the y-intercept of line AB is 0.
The equation of a line can be determined using the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept. The slope of line CD can be found by finding the difference in y-coordinates divided by the difference in x-coordinates between points C and D. In this case, the slope is (5 - 5) / (5 - 5) = 0. Therefore, the equation of line CD is y = 0x + b, where b is the y-intercept. Since point D has coordinates (5, 5), the y-intercept is 5. Therefore, the equation of line CD is y = 0x + 5, or simply y = 5.
Determine which ordered pair is a solution for the system of equations.
Y=5/2x-3
y=-x+3
(12/7, 9/7)
Since y = -x + 3, substitute it into the first equation.
-x + 3 = 5/2x - 3
Now add x and subtract 3 from both sides.
0 = 7/2x - 6
Now add 6 on both sides.
6 = 7/2x
Now divide by 7/2 on both sides.
12/7 = x
Now, just substitute x into the second equation.
y = -12/7 + 3
y = -12/7 + 21/7
y = 9/7
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On a coordinate plane, what is the distance between the points (-4, -3) and (-1, 5)? Round your answer to the nearest hundredth.
Answer:
8.54
Step-by-step explanation:
To find the distance between 2 points
d = sqrt( y2-y1)^2 + (x2-x1)^2)
where (x1,y1) and (x2,y2) are the two points
d = sqrt((5--3)^2+ (-1--4)^2)
= sqrt((5+3)^2+ (-1+4)^2)
= sqrt((8)^2+ (3)^2)
= sqrt(64+ 9)
=sqrt (73)
=8.544003745
Rounding to the nearest hundredth
=8.54
ANSWER
The distance between the two points is 8.54 to the nearest hundredth.
EXPLANATION
We want to find the distance between the the points (-4, -3) and (-1, 5).
We use the distance formula;
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d=\sqrt{( - 1 - -4)^2+(5- - 3)^2}[/tex]
[tex]d=\sqrt{( 3)^2+(8)^2}[/tex]
[tex]d=\sqrt{9+64}[/tex]
[tex]d = \sqrt{73} [/tex]
[tex]d = 8.544[/tex]
To the nearest hundredth the distance is 8.54 units.
find the mode for a data set. 18,24,24,24,25,37,37,46
Answer:
24 is the mode
Step-by-step explanation:
Mode is the number that is most often seen.
18 is seen 1 time
24 is seen 3 times
25 is seen 1 time
37 is seen 2 times
46 is seen 1 time
24 is the mode because it is seen the most often.
Answer:
24
Step-by-step explanation:
The mode is the number that appears the most times in a data set. Here, 24 occurs the most (3 times)
PLEASE HELP WILL GIVE POINTS AND MARK BRAINLIEST PLEASE!!!!!!!!!!!!!
Answer:
The point must be between 5 and 6, accurately in 5,4
Step-by-step explanation:
SQT[29] = 5,38
Best regards
well the square root of 29 as a decimal is 5.4 to the tenths place so the point would probably be 4 marks to the right of the big 5's mark
If F(x)=2^x +5x and g(x)=3x-5 find (f+g)(x)
Final answer:
The sum of the functions [tex]F(x) = 2^x + 5x[/tex] and g(x) = 3x - 5 is [tex](f+g)(x) = 2^x + 8x - 5[/tex], which is obtained by adding the corresponding elements of each function and combining like terms.
Explanation:
The question asks for the sum of two functions, F(x) and g(x). In mathematical terms, (f+g)(x) means we have to add the functions F(x) and g(x) together. This is done by adding the corresponding elements of each function.
Here are the given functions:
F(x) = 2x + 5x
g(x) = 3x - 5
To find (f+g)(x), we combine them like this:
(f+g)(x) = F(x) + g(x) = (2x + 5x) + (3x - 5)
Now, we simply combine like terms:
(f+g)(x) = 2x + 5x + 3x - 5
(f+g)(x) = 2x + 8x - 5
This is the simplified form of the sum of the functions F(x) and g(x).
Final answer:
To find (f+g)(x) where f(x)=2ˣ + 5x and g(x)=3x-5, you simply add the functions together to get (f+g)(x) = 2ˣ + 8x - 5.
Explanation:
The student has asked to find (f+g)(x) where f(x) = 2ˣ + 5x and g(x) = 3x - 5.
To find (f+g)(x), we add the two functions together:
f(x) = 2ˣ + 5xg(x) = 3x - 5So, (f+g)(x) is:
(f+g)(x) = (2ˣ + 5x) + (3x - 5)
Combine like terms:
(f+g)(x) = 2ˣ + 5x + 3x - 5
(f+g)(x) = 2ˣ + 8x - 5
That is the simplified form of the function (f+g)(x).
what is 12 / 2/3 ? nothing pops up when i search it and i have a module exam!
Answer:
18
Step-by-step explanation:
Yur Welcome
The answer to the question [tex]\( \frac{12}{2/3} \) is \( 18 \).[/tex]
To solve the expression [tex]\( \frac{12}{2/3} \)[/tex], need to divide 12 by [tex]\( \frac{2}{3} \).[/tex] Dividing by a fraction is the same as multiplying by its reciprocal. Therefore, we can rewrite the expression as:
[tex]\[ 12 \times \frac{3}{2} \][/tex]
Now, multiply 12 by \( \frac{3}{2} \):
[tex]\[ 12 \times \frac{3}{2} = \frac{12 \times 3}{2} \][/tex]
[tex]\[ \frac{12 \times 3}{2} = \frac{36}{2} \][/tex]
Finally, divide 36 by 2 to get the result:
[tex]\[ \frac{36}{2} = 18 \][/tex]
So, [tex]\( \frac{12}{2/3} = 18 \)[/tex]. This is the value you would use if this calculation appears on your module exam.
Ben says 7 9/100 must be less than 7. 2/10 because 9 hundredths is less than 2 tenths. Do you agree? Draw a line to support your answer
Yes, I cannot draw a line because this is online. Sorry
You plan to invest $350 $350 in a growth fund that has a rate of 1.5% 1.5% compounded quarterly. How much money will this investment be worth after 50 50 years? Round to the nearest cent.
Is this a scatterproblem?
If so then 350×((1.5)^4)^50 would be an answer?
Answer:
the answer is 739.91
Step-by-step explanation:
i put this problem for my question and got it right on the test.
good luck!
Gasoline is used as fuel that allows cars to move. In order for the gasoline to have any effect on a car, the gasoline has to go through a chemical reaction that causes energy stored in it to be converted into a different type of energy.
Arrange the tiles below to correctly show the sequence in which energy is converted to allow a gasoline-powered car to move.
Answer:
chemical heat and mechanical in that order
Step-by-step explanation:
Answer: Chemical - Heat - Mechanical.
Step-by-step explanation:
An internal combustion engine, such as a gasoline engine, converts the chemical energy in fuel to the propulsive energy that moves a car. When gasoline combusts, heat energy is produced and converted to mechanical energy that allows a car to move.
While light energy is also produced along with heat energy during the conversion of chemical energy to mechanical energy, the light energy does not have any effect on the movement of the car.
Who reads at the same rate?
Answer:
Alexis and Jon reads at the same rate, 0.67 page by min
Step-by-step explanation:
Rate Alexis = 30/45 pages/min = 0.67 page by min
Rate Jon = 40/60 pages/min = 0.67 page by min
Rate Sal = 45/90 = 0.5 page by min
Rate Andre = 15/25 = 0.6 page by min
Then
Alexis and Jon reads at the same rate, 0.67 page by min
Best regards
convert 18/5 to a decimal using long division
Answer:
3.60
Step-by-step explanation
you need to turn it to 100 then move the decimal 2 places to the left
Answer:
A. 3.6
Step-by-step explanation:
Match the rational expression
Answer:
Step-by-step explanation:
[tex]1) (x-2)+\frac{6}{x-2} \\=\frac{(x-2)(x-2)+6}{x-2}\\ =\frac{x^{2}-4x+4+6}{x- 2}\\=\frac{x^{2}-4x+10}{x-2}[/tex]
[tex]2)(x+3)+\frac{10}{x-2} \\=\frac{(x+3)(x-2)+10}{x-2}\\ =\frac{x^{2}+3x-2x-6+10}{x-2}\\=\frac{x^{2}+x+4}{x-2}[/tex]
[tex]3)(x+1)+\frac{6}{x-2} \\=\frac{(x+1)(x-2)+6}{x-2}\\ =\frac{x^{2}-2x+x-2+6 }{x-2}\\=\frac{x^{2}-x+4}{x-2}[/tex]
[tex]4)(x-3)+\frac{10}{x-2} \\=\frac{(x-3)(x-2)+10}{x-2}\\ =\frac{x^{2}-3x-2x+6+10 }{x-2}\\=\frac{x^{2}-5x+14}{x-2}[/tex]
What is the value of x in the equation −x = 2 − 3x + 6?
Answer:
x = 4Step-by-step explanation:
[tex]-x=2-3x+6\qquad\text{add}\ 3x\ \text{to both sides}\\\\-x+3x=8-3x+3x\\\\2x=8\qquad\text{divide both sides by 2}\\\\\dfrac{2x}{2}=\dfrac{8}{2}\\\\x=4[/tex]
What is the product of 7x-4 and 8x+5
➷ (7x - 4)(8x + 5) ==> 56x^2 + 35x - 32x - 20
This can be simplified to 56x^2 + 3x - 20
✽➶ Hope This Helps You!
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➶ Have A Great Day ^-^
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The product of the polynomials 7x - 4 and 8x + 5 is 56x^2 + 3x - 20, attained by applying the FOIL method.
Explanation:The given question asks to find the
product
of two polynomials: 7x - 4 and 8x + 5. The product of two polynomials can be found using the distributive property, also known as the FOIL (First, Outer, Inner, Last) method. So, start by multiplying the first terms of each polynomial: 7x * 8x = 56x^2. Then, multiply the outer terms: 7x * 5 = 35x. Next, the inner terms: -4 * 8x = -32x. And finally, the last term: -4 * 5 = -20. Summing all these gives the final answer: 56x^2 + 3x - 20.
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please help on #15 thank you !!
Answer: A. $3
Step-by-step explanation:
Price: $ 60.00
Sales Tax (5%): $ 3.00
Total: $ 63.00
OR, an easier way to do it is:
60 × 0.05 = 3
* Hopefully this helps:)!!!Mark me the brainliest:)!!
∞ 234483279c20∞
Answer:
The Answer is $3
Step-by-step explanation:
5% of 60= $3
1) Step I
5%=0.05
2) there asking for the amount of the tax So its 5%of 60
Which is solve like This
0.05 x 60 = 3
Hopes this helps you!
A parallelogram-shaped tile has an area if 48 in.2. The base of the tile measures 12in. What is the measure of bits height
Answer:
height = 4 in
Step-by-step explanation:
The area (A) of a parallelogram is calculated using the formula
A = base × height ← substitute values
48 = 12 × height ( divide both sides by 12 )
4 = height
Which equations correctly represent a line that has a slope of -2/3 and passes through the points (–2, 8) and (1, 6)?
Answer:
2x + 3y = 20
Step-by-step explanation:
Slope of the line is -2/3 . We can use any of the given points to find the equation of the line. Lets use (1, 6)
The general point-slope form of a line is:
[tex]y-y_{1} =m(x-x_{1} )[/tex]
Here m is the slope which is -2/3
x1 and y1 are the coordinates of the point. So x1 = 1 and y1 = 6
Using these values, we get:
[tex]y-6=-\frac{2}{3} (x-1)\\\\ 3(y-6)=-2(x-1)\\\\ 3y-18=-2x+2\\\\ 2x+3y=20[/tex]
Answer:
2x + 3y = 20
Step-by-step explanation:
We are given two points: (–2, 8) and (1, 6) and the slope (m) of the line and we are to find the equation of this line.
We know that the standard equation of a line is:
[tex]y=mx+c[/tex]
So we will plug in the given values in the above equation to find the y intercept.
[tex]6=-\frac{2}{3} (1)+c[/tex]
[tex]c=\frac{20}{3}[/tex]
So the equation of this line will be:
[tex]y=-\frac{2}{3} x+\frac{20}{3}[/tex]
or
2x + 3y = 20
An element with mass 570 grams decays by 26.9% per minute. How much of the element is remaining after 14 minutes, to the nearest 10th of a gram?
Answer:
7.1
Step-by-step explanation:
Exponential Functions:
y=ab^x
y=ab
x
a=\text{starting value = }570
a=starting value = 570
r=\text{rate = }26.9\% = 0.269
r=rate = 26.9%=0.269
\text{Exponential Decay:}
Exponential Decay:
b=1-r=1-0.269=0.731
b=1−r=1−0.269=0.731
\text{Write Exponential Function:}
Write Exponential Function:
y=570(0.731)^x
y=570(0.731)
x
Put it all together
\text{Plug in time for x:}
Plug in time for x:
y=570(0.731)^{14}
y=570(0.731)
14
y= 7.091174
y=7.091174
Evaluate
y\approx 7.1
y≈7.1
round
To calculate the remaining amount of an element undergoing exponential decay, use the formula A = A0 * (1 - r)^t, where A is the remaining amount, A0 is the initial amount, r is the decay rate per minute, and t is the time in minutes. In this case, approximately 12.3 grams of the element is remaining after 14 minutes.
Explanation:
To calculate the amount of the element remaining after 14 minutes, we need to use the formula for exponential decay, which is A = A0 * (1 - r)t, where A is the remaining amount, A0 is the initial amount, r is the decay rate per minute (in decimal form), and t is the time in minutes.
In this case, the initial amount is 570 grams, the decay rate is 26.9% or 0.269 per minute, and the time is 14 minutes.
Plugging these values into the formula, we get:
A = 570 * (1 - 0.269)14 = 570 * (0.731)14 = 570 * 0.0221 = 12.27 grams.
Therefore, approximately 12.3 grams of the element is remaining after 14 minutes.
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Emmanuel added 8 links per minute to his chain mail. Allesia started 20 minutes after Emmanuel and added 13 links per minute to her chain mail. How long had Emmanuel worked when Allesia caught up to him, and how many links had he added?
Answer: 52 minutes, 416 links
Step-by-step explanation:
8*20=160
13-8=5
160/5=32
32+20=52
52*8=416
Which two wholes numbers does 3 2/10 lie between?
Answer:
3 and 4
Step-by-step explanation:
On a number line, 3 2/10 is greater than 3, by 1/5, but less than 4, by 4/5.
3 and 4 are two whole numbers that come after each other.
Answer:
3 and 4
Step-by-step explanation:
3 2/10 is in-between the numbers 3 and 4