Answer:
[tex]\large\boxed{\begin{array}{c|c|c|c}Length:&4cm&2cm&8cm\\Width:&6cm&12cm&3cm\\Height:&9cm&9cm&9cm\end{array}}[/tex]
Step-by-step explanation:
The formula of a volume of a cube with side length a:
[tex]V=a^3[/tex]
We have a = 6cm. Substitute:
[tex]V=6^3=216\ cm^3[/tex]
[tex]\begin{array}{c|c}216&2\\108&2\\54&2\\27&3\\9&3\\3&3\\1\end{array}[/tex]
[tex]216=2\cdot2\cdot2\cdot3\cdot3\cdot3=(2\cdot2)\cdot(2\cdot3)\cdot(3\cdot3)=4\cdot6\cdot9\\\\216=2\cdot2\cdot2\cdot3\cdot3\cdot3=2\cdot(2\cdot2\cdot3)\cdot(3\cdot3)=2\cdot12\cdot9\\\\216=2\cdot2\cdot2\cdot3\cdot3\cdot3=(2\cdot2\cdot2)\cdot3\cdot(3\cdot3)=8\cdot3\cdot9\\\vdots[/tex]
Angelo runs 7 miles per week and increases his distance by 1 mile each week. Marc runs 4 miles per week and increases his distance by 2 miles each week. In how many weeks will Angelo and Marc be running the same distance? What will that distance be?
Answer:
Step-by-step explanation:
You have to set each runner's plan equal to each other because they are equal in the end. You start with 7 miles for Angelo and 4 miles for Marc.
x is a variable that is multiplied by the number of weeks it takes for both runners' distances to be equal. So multiply x by the miles increased every week.
Marc = Angelo
2x + 4 = x + 7
x = 3
In 3 weeks each runner will run 10 miles for the week.
To find when Angelo and Marc will be running the same distance and what that distance will be, set up and solve equations.
Explanation:To find out in how many weeks Angelo and Marc will be running the same distance, we can set up an equation. Let's assume the number of weeks is x. Angelo's distance can be represented by the equation 7 + 1x, and Marc's distance can be represented by the equation 4 + 2x. To find when their distances are equal, we can set the two equations equal to each other and solve for x.
Setting the equations equal: 7 + 1x = 4 + 2x
Simplifying the equation: x = 3
Therefore, Angelo and Marc will be running the same distance in 3 weeks. To find the distance, we can substitute the value of x back into either of the original equations. Let's use Angelo's equation: 7 + 1(3) = 10
So, Angelo and Marc will be running 10 miles in the same distance.
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How to fill in the prime factor tree?????? Answer???
Step-by-step explanation:
On the 8 branch, to the left is 2, and on the right is 4. On the left branch, and on the left, it is 2, and there is a 2 for the 6 branch.
What is the zero of the following function?
Answer:
D
Step-by-step explanation:
The zero of the function is the point on the x- axis where the graph crosses
That is x = - 5
Answer: OPTION D
Step-by-step explanation:
The zero of the function is the intersection of the function with the x-axis.
A function intersects the x-axis when the value of y is zero ([tex]y=0[/tex])
Then, you can observe in the graph attached that the function intersects the x-axis at the point (-5,0), where the x-coordinate is -5 and the y-coordinate is 0:
[tex]x=-5\\y=0[/tex]
Therefore, you can identify that the zero of the function shown in the figure is:
[tex]x=-5[/tex]
This matches with the option D.
Help please
“What are my chances of drawing a g”
Answer:
0.1
Step-by-step explanation:
There are a total of 10 tiles, of which 1 is the letter G
P(G) = [tex]\frac{1}{10}[/tex] = 0.1
0.1
Explanation step by step:
There is a total of 10 tiles of which 1 is the letter G
[tex]P(G) = \ \frac{1}{10} = 0.1[/tex]
pls pls pls help
I need help
Use the formula A = bh to determine which parallelograms have the same area.
What is that area?
Answer: Parallelograms
have an area of
square units.
Answer:
Parallelograms I, II, and IV
Step-by-step:
Area of parallelograms:
I. A=3*5=15 units squared
II. A=5*3=15 units squared
III. A=4*4=16 units squared
IV. A=5*3=15 units squared
So, parallelograms I, II, and IV have the same area of 15 units squared.
Answer:
Parallelograms I, II, and IV have an area of 15 square units
Step-by-step:
Area of parallelograms:
I. A=3*5=15 units squared
II. A=5*3=15 units squared
III. A=4*4=16 units squared
IV. A=5*3=15 units squared
So, parallelograms I, II, and IV have the same area of 15 units squared.
if you start on the unit circle at (0,-1) and move 360° in the counterclockwise direction, at what angle measure on the unit circle will you end up? Answer should be the angle measure in degrees.
Answer:
270°
Step-by-step explanation:
(0, -1) is at the 270° angle. If you do a 360°, you end up back where you started, so the angle is still 270°.
Rhea had a score of a 70 on her first quiz and a score of a 77 on her second quiz. What is the percent increase from her first quiz score to her second quiz score?
The answer is:
The percent increase from her first quiz score to her second quiz score is 10%.
Why?To know what is the percent increase from her first quiz to her second quiz, first we need to calculate the increase points, then, represent it in porcentage value.
Then, calculating her increas in points, we have:
[tex]Increase=SecondQuizScore-FirstQuizScore\\Increase=77points-70points=7points\\Increas=7points[/tex]
Now, calculating the percent increase, we have:
[tex]Increase(Percentage)=\frac{Increase(points)}{FirstScore}*100\\\\Increase(Percentage)=\frac{7}{70}*100\\\\Increase(Percentage)=0.10*100=10[/tex]
Hence, the percent increase from her first quiz score to her second quiz score is 10%.
Have a nice day!
Answer:
10%
Step-by-step explanation:
increase percentage is = difference /initial value x 100
=77-70/70 x 100
=10
Plz help me with this
Only the last two options are true.
The first one is false, because 4.5 is the value of the maximum of f(x), not the point where it is reached.
The second one is false, because g(x) has a maximum of 9, so it is a downward-facing parabola (just like f(x)), so it doesn't have a minimum.
The third one is true, because the maximum value of f(x) is 4.5, and the maximum value of g(x) is 9, which is twice the maximum of f(x)
The last one is false (see point 2).
Answer:
The third and last one.
Step-by-step explanation:
First, by looking at the graph you can tell that the parabola peaks where x = 0.5, not 4.5, so this one is incorrect.
The second one is incorrect, because the value of the g(x) at 0 is 9, but he function is less at other values such as when x is -3 and the g(x) is 0.
The maximum value of the g(x) is 9. We can tell this because points with an equal difference of x values away from x = 0 (where g(x) = 9), also have the same y values. Because 9 is twice of 4.5, and 4.5 is the maximum value of the f(x), the third one is correct.
Lastly, The last one is true, because quadratic functions only have a minimum or a maximum value and we already know that both of these functions have a maximum value.
To make six cakes Fred uses four and a half cups of sugar. How much sugar does he need for one cake?
Answer:
1.333 cups
Step-by-step explanation:
if you divide 6 by 4.5 you get 1.333
which of the statememts below are true for linear functions? Select all that apply.
That's is correct answer
ΔABC with vertices A(-3, 0), B(-2, 3), C(-1, 1) is rotated 180° clockwise about the origin. It is then reflected across the line y = -x. What are the coordinates of the vertices of the image?
Answer: The answer would be C. Please give me a thanks :) bye!
Step-by-step explanation:
Pls does anyone know the answer??
Answer:
The on the bottom is right.
Step-by-step explanation:
Answer:
A is the correct answer
Step-by-step explanation:
Will give Brainlest! Help plz
41000 is 100%
29000 is ? %
?=29000x100/41000~70.73%
Jefferson High School is looking to expand its student parking lot by expanding the existing lot as shown above. The size of the new parking lot will be twice the size of the old parking lot. How many feet, x, was the old parking lot expanded by?
Answer:
60
Step-by-step explanation:
15 Points Please Answer Thx
Answer:
18
Step-by-step explanation:
There are 6 possible outcomes for the number and each one of those can land with all three different colors.
This means that the total amount of outcomes is 6*3 or 18.
can i have some help please?
Answer:
C is the correct answer
Find the values for c and d that would make the following equation true. (cy^2)(4y^d)=-20y^3
Answer:
c = -5 and d = 1
Step-by-step explanation:
First, multiply out (cy^2)(4y^d). We get: 4cy^(2+d).
We equate this result to the right side of the equation: - 20y^3.
Then, equating the exponents and solving for d, we get: 2 + d = 3, or d = 1.
Equating the coefficients, we get 4c = -20, or c = -5.
Look at the picture above. Tell me the steps that I need to use to get the answer.
Answer:
¹¹⁹/₁₂₀ gallon
Step-by-step explanation:
1. Total amount of paint owned: 1 ¹/₅ + 1 ¹/₆ + ⁷/₈ = ³⁸⁹/₁₂₀ gallons
2. Total amount of paint used: 3 * ³/₄ = ⁹/₄ gallons
3. Amount left: ³⁸⁹/₁₂₀ - ⁹/₄ = ¹¹⁹/₁₂₀ gallon
72/10 is equal to which number
It is equal to 7.2
Hope this helps.
Answer:
7.2
Step-by-step explanation:
Imagine math 2021
Comstock nut company has 500 pounds of peanuts to package if each package contains one and one four pounds how many packages are needed?
Answer:
2000
Step-by-step explanation:
500/0.25. :) hope this helped
Comstock Nut Company can make 400 packages of peanuts by dividing the total weight of peanuts (500 pounds) by the weight of each package (1.25 pounds). Ounces or grams would be suitable to measure a handful of peanuts.
Explanation:To calculate how many packages Comstock Nut Company can make, we simply divide the total weight of the peanuts by the weight of each package. They have 500 pounds of peanuts and each package weighs 1 and 1/4 pounds (which is the same as 1.25 pounds).
Number of packages = Total weight of peanuts ÷ Weight per package
Number of packages = 500 pounds ÷ 1.25 pounds/package
When you divide 500 by 1.25, you get 400. Therefore, Comstock Nut Company can make 400 packages of peanuts.
When it comes to choosing the best unit of measurement, for a handful of peanuts, we would typically use ounces or grams since they are small quantities that don't weigh much, similar to how Jeffrey should use ounces to label packages of steak when most are less than a pound.
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Marilyn has a bag of coins. The bag contains 25 wheat pennines, 15 Canadian pennies, 5 steel pennies, and 5 Lincoln pennies. She picks a coin randomly from the bag. What is the probability that she picked a steel penny or a lincoln penny? A.) 10% B.) 20% C.) 50% D.) 30%
Answer:
B
Step-by-step explanation:
In probability, "AND" means to multiply and "OR" means to add.
Here they want probability of steel penny ( P(s) ) "OR" probability of lincoln penny ( P(l) ).
Let's find the individual probabilities and "ADD" them.
P(s) = 5/50 (since there are 5 steel pennies and there are 50 coins in total)
P(l) = 5/50 (since there are 5 lincoln pennies and there are 50 coins in total)
So probability of 5 steel penny and 5 lincoln penny = 5/50 + 5/50 = 10/50 = 1/5
1/5 is equal to 20%, correct answer is B
72 subtract 3 equals 36
That is not true. 72-3=69
Please I need help with this one
Answer:
Cone
Step-by-step explanation:
the base is formed when the triangle is turned in a circle. the base is a triangle.
A triangle has 2 congruent sides and 1 right angle.What is the triangle? List all that apply.
Answer:
When a triangle has two congruent sides it is called an isosceles triangle
Step-by-step explanation:
find the height of the cylinder V=271.4in3
h=271.4/6π≈14.4 inches.
If the volume and the rafius of the cylinder is 271.4 cubic inches and 6 inches. Then the height of the cylinder will be 2.4 inches.
What is a cylinder?A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.
If the volume of the cylinder is 271.4 cubic inches and the radius of the cylinder is 6 inches.
Then the height of the cylindr will be
We know the volume of the cylinder is given as
V = πr²h
Then we have
271.4 = π x 6² x h
271.4 = 36π x h
271.4 = 113.1 x h
h = 2.4
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identify an equation in point-slope intercept form for the line perpendicular to y=3x+5 that passes through (4,-1)
Answer:
y + 1 = - [tex]\frac{1}{3}[/tex](x - 4)
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 5 is in this form
with slope m = 3
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{3}[/tex]
The equation of a line in point slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
here (a, b) = (4, - 1), thus
y - (- 1) = - [tex]\frac{1}{3}[/tex](x - 4), that is
y + 1 = - [tex]\frac{1}{3}[/tex](x - 4) ← in point- slope form
Darian is multiplying 34
3
4
by 12
1
2
.
Answer:
408
Step-by-step explanation:
because is you use long multiplication you will get 12*34=408.
how do you rewrite 1/27 as an expression with a negative exponent
Answer:
3^-3
Step-by-step explanation:
27 = 3^3
so
1/ 27= 1 / 3^3 = 3^-3
To write the fraction \( \frac{1}{27} \) as an expression with a negative exponent, you can use the property of exponents that states \( a^{-n} = \frac{1}{a^n} \), where \( a \) is any non-zero real number and \( n \) is a positive integer.
Applying this property to \( \frac{1}{27} \), we can see that the fraction is the reciprocal of \( 27 \) raised to the first power. Thus, we rewrite the expression \( \frac{1}{27} \) by flipping the position of \( 27 \) to the numerator and making the exponent negative:
\( \frac{1}{27} = 27^{-1} \)
So, \( 27^{-1} \) is the same as \( \frac{1}{27} \). When you calculate \( 27^{-1} \), you get the value of approximately \( 0.037037037037037035 \), which represents the decimal equivalent of the fraction \( \frac{1}{27} \).
Tickets numbered 1 to 20 are mixed up and drawn at random. What is the probability that the ticket drawn has a number which is a multiple of three or five.
8/15
2/5
9/20
1/2
Answer:
B. 2/5
Step-by-step explanation:
First we write down the numbers.
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20.
Multiplies of three or five above are: 6,9,10,12,15,16,19,20 (there are 8)
So 8/20.
8/20 simplified is 2/5
So, it's B.
3x+4(x-8)-14 evaluate for x=11
Answer:
For X = 11, the expression is equal to 31
Step-by-step explanation:
Hello
For X = 11 you only have to replaced the value into the expression, so:
3(11) + 4(11-8) - 14
33 + 4(3) - 14
33 + 12 - 14
31
Best regards
Hello there!
Plug 11 into the equation, by replacing x with it and simplify.
3x+ 4(x-8) - 14
3(11) + 4(11-8) - 14 -- Remember PEMDAS, start by subtracting 11 - 8.
3(11) + 4(3) - 14 -- Next, multiply 3 by 11.
33 + 4(3) - 14 -- Now, multiply 4 by 3.
33 + 12 - 14 -- Now, add 33 to 12.
45 - 14 -- Now, take 14 away from 45.
31 -- This is your final answer.
I hope this was helpful and have a great rest of your day! ~ saturns