Answer:
[tex]-\frac{1}{12}[/tex]
Step-by-step explanation:
So we have the expression:
[tex]\frac{2}{6}-\frac{5}{12}[/tex]
To subtract, we want to have a common denominator. So, let's find a common denominator by using the LCM.
The LCM of 6 and 12 is 12.
Since the second term is already 12, let's multiply the first term by 2 to get its denominator to be 12:
[tex]=(\frac{2}{2})\frac{2}{6}-\frac{5}{12}[/tex]
Multiply:
[tex]=\frac{4}{12}-\frac{5}{12}[/tex]
Now, we can combine the fractions:
[tex]=\frac{4-5}{12}[/tex]
Subtract:
[tex]=\frac{-1}{12}[/tex]
And we are done!
Write 6 x 10 x 10 x 10 x 10 with an exponent.
Answer:
the answers is 6x 10 4
Step-by-step explanation:
The expression 6 x 10 x 10 x 10 x 10 with an exponent would be written as 6(10^4).
What are exponents?The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.
If we have a^b then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).
We have been given an expression as
6 x 10 x 10 x 10 x 10
Here we can see the base 10 multiplied by itself 4 times.
Exponentiation(the process of raising some number to some power) have some basic rules as:
[tex]a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\\\ a^b \times a^c = a^{b+c} \\\\^n\sqrt{a} = a^{1/n} \\\\(ab)^c = a^c \times b^c\\\\a^b = a^b \implies b= c \: \text{ (if a, b and c are real numbers and } a \neq 1 \: and \: a \neq -1 )[/tex]
The expression 6 x 10 x 10 x 10 x 10 with an exponent would be written as 6(10^4).
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The cross-sectional areas of a right pyramid and a right cylinder are congruent. The pyramid has a height of five units, and a right triangle has a height of three units. Which conclusion could be made from the given information
Answer:
the volume of the right cylinder is 1.8 times the volume of the pyramid
Step-by-step explanation:
The volume of a pyramid is
[tex]V = \dfrac{1}{3} \times B\times H[/tex]
where the height of the pyramid is 5
[tex]V = \dfrac{1}{3} \times B\times 5[/tex]
[tex]V = \dfrac{5}{3} B \ units ^3[/tex]
On the other hand, the volume of a right cylinder is
V = BH
where the height of the right cylinder = 3 units
V = 3 B units³
Since we know that the cross-sectional areas are congruent, comparing the two-volume, we have the ratio of their volumes to be:
[tex]\dfrac{V_p}{V_c}= \dfrac{\dfrac{5}{3}B}{3B}[/tex]
[tex]\dfrac{V_p}{V_c}= \dfrac{5}{9}[/tex]
[tex]9 V_p = 5 V_c[/tex]
[tex]V_c = 1.8 \ V_p[/tex]
Hence, the volume of the right cylinder is 1.8 times the volume of the pyramid
Is figure B a scaled copy of figure A?
Answer:
Yes
Step-by-step explanation:
Figure B is doubled in size
Answer:
Yes
Step-by-step explanation:
Because every length of each of the shape is just doubled:
Bottom of figure A=4
Bottom of figure B=8
Right Side of figure A=2
Right Side of figure B=4
Left Side of figure A=2
Left Side of figure B=4
Top of figure A=3
Top of figure B=6
Will Give Brainliest
Big Water Canoeing Company rents canoes for $75 per hour. Explain why the point (0, 0) and (1, 75) are on the graph of the relationship and what these points mean in the context of the problem.
Answer: Unit Rate= 75 they are on the graph because that is where the unit rate starts. In the context they mean the rent goes up by $75.
Step-by-step explanation: I hope this helps im still a little confused myself, if it doesnt help im sorry.
The stock of Company A gained 6.5% today to $40.47. What was the opening price of the stock in the beginning of the day?
Answer:
$37.84
Explanation:
We need to see what to multiply $40.47 by to find the price of the stock from the beginning. First, we need to subtract 100% by the percentage of gain.
100% - 6.5% = 93.5%
Next, we need to divide 93.5% by 100.
93.5% ÷ 100 = 0.935
Lastly, we multiply $40.47 by 0.935 and round it to the nearest hundredth.
40.47 × 0.935 = 37.83945 --> 37.84
Hope this helped!
$37.84
So we know that we need to see what to multiply $40.47 by to find the price of the stock from the beginning.
First, we need to subtract 100% by the percentage of gain.
100% - 6.5% = 93.5%
Next, we need to divide 93.5% by 100.
93.5% ÷ 100 = 0.935
Lastly, we multiply $40.47 by 0.935 and round it to the nearest hundredth.
40.47 × 0.935 = 37.83945 --> 37.84
Fianl result: $37.84
Scott imports a car from Japan for $12,500. He places an advertisement to sell the car in the newspaper and sells it for $26,800 How much profit has he made ?
Answer:
14,300
Step-by-step explanation:
A van can travel 18 miles on each gallon of gasoline. At that rate, how many miles can the van travel on 15 gallons of gasoline? 33 miles 83 miles 120 miles 270 miles Mark this and return
Answer:
270 miles
Step-by-step explanation:
if 1 gallon = 18 miles
then 15 gallons = x miles
cross multiply
1 × x = 15×18miles
x = 270 miles
so it travels 270 miles on 15 gallons of gasoline
Last year, Gena’s food cart business was $225 in debt. This year, the debt has tripled. Which expressions show how much Gena’s business is currently in debt? Check all that apply.
225(3)
(3)(–225)
–225 + 3
3 – 225
–225(3)
Answer:
first one cause 225 times 3
Step-by-step explanation:
Answer:
answers 2 and 5
Step-by-step explanation:
All good football players are over 200 pounds. Earl is 230 pounds. Kaylie concludes Earl is a good football player. Is her conclusion valid? Explain.
Answer:
I don't think so
Step-by-step explanation:
If being over 200 lbs makes you a good football player, then Earl could be a good player. But you need to be skilled at football to be good at it. Your weight doesn't make you good at something. So in my opinion, I don't think Kaylie's conclusion is valid.
I hope this answer helped you
Urgent!!! Brainliest ,25 points and a thanks for the first to answer.
Answer:
1) 8
2) 6
3) 7
4) 0
5) 5
6) 1
7) 3
8) 2
9) -14
10) 12
11) -9
12) -6
13) -11
14) 1
15) -6
16) -12
17) -1/2
18) 9/11
19) 7/13
20) 9/7
21) -5/13
22) -13/25
Step-by-step explanation:
A muffin recipe calls for 3 cups of flour for 24 muffins. If you want to make 108
muffins, how many cups of flour will you need? *
Answer:
13.5
Step-by-step explanation:
3 cups for 24 muffins
x cups for 108 muffins
x=(108*3)/24
x=13.5
six plus what equals -2
Answer: -8
Step-by-step explanation:
6+ -8 = -2
Owen knows he only has three pencils in his backpack, and they are all yellow. He reaches into his backpack without looking and takes out a pencil. What is the probability that the pencil was yellow? Answer options with 5 options A. 0-thirds B. 1-third C. 2-thirds D. 3-thirds E. 3 over 1 I NEED ACTUAL ANSWERS NOT JUST STUPID PEOPLE WITH A POOR SENSE OF HUMOR
Answer:
D; 3-thirds
Step-by-step explanation:
Here is a probability question.
Firstly, we need to understand that the probability of any event is between 0 and 1; it cannot be negative and cannot be more than 1.
So the probability we want to calculate here is simply the probability of drawing a yellow pencil.
The way to go about this is by dividing the number of yellow pencils by the total number of pencils
Mathematically;
Probability of bringing out a yellow pencil= Number of yellow Pencils/ Total number of pencils
From the question, we are told that the number of pencils = number of yellow pencils = 3
Thus the probability will be 3/3 = 1
This cannot be found in the options right?
1 is the same as 3-thirds meaning 3 * 1/3 = 1
A ladder leans against a house making a 30 degree angle with the ground. If the ladder touches the house at a point 10 feet high, how long is the ladder?
Answer:
20ft.
Step-by-step explanation:
Sine = Opposite / Hypothenuse
Opposite = Height = 10ft
Hypothenuse = Length of ladder
Therefore, sin30° = 10ft / Length = 1/2
Length = 20ft
Please help ALGEBRA 1 !
Answer:
B. 36 root7 = area of the rectangle
Ava has 34 candy bars. If
a box contains 5 bars and she has 4 extra candy bars
determine how many boxes
She has?
[tex]\bf Step-by-step~explanation:[/tex]
If Ava has 34 candy bars, and each box can hold 5 bars, then we need to find out how many boxes that are filled up.
[tex]\bf Step~1:[/tex]
Divide the number of candy bars (34), by the number each box can hold (5)
[tex]\bf\frac{34}{5}=6.8[/tex]
Since we cannot have 6.8 boxes, we have to round down to 6.
[tex]\boxed{\bf Our~final~answer:~6~boxes}[/tex]
[tex]\bf Check~our~answer:[/tex]
To check our answer, we multiply the number of boxes (6), by the number of bars in each box (5), to get 30. We add Ava's extra bars (4), and we get the number we started off with: 34. This proves our answer is correct!
How can 3.14159 be based on a multiple on the divisor?
Answer:
Here the value is similar to the value of pi ([tex]\pi[/tex])
Step-by-step explanation:
22 / 7 = [tex]\pi[/tex]
22 / 7 = 3.14159
So it is based on a multiple on the divisor 7
-14 could be classified as all of these EXCEPT?
Rational
Real
Whole
Integer
Answer:
it is a rational number, a integer, and a real number. It is NOT a whole number
Step-by-step explanation:
Answer:
It is not a whole number when compared to other answers.
is 65.4279 Rational or Irrational
Answer:
Irrational
Step-by-step explanation:
Not repeating
Which angles are corresponding angles?
Check all that apply.
8 5
7
6
4
1
3
2
D A. 7 and 3
B. 1 and 5
O c. 1 and 6
O D. 5 and 4
D E. 8 and 1
O F. 1 and 4
Answer:
A. 7 and 3
&
B. 1 and 5
Step-by-step explanation:
Corresponding angles are a pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.
The answers are:
•8 and 4
•5 and 1
•7 and 3
•6 and 2
I hope this helps! I'm sorry if it's wrong.
Solve the equation for x.
1/4(2x + 8) = –16
A)
-18
B)
-24
D
-28
D)
-36
Answer:
D
Step-by-step explanation:
Given
[tex]\frac{1}{4}[/tex] (2x + 8) = - 16
Multiply both sides by 4 to clear the fraction
2x + 8 = - 64 ( subtract 8 from both sides )
2x = - 72 ( divide both sides by 2 )
x = - 36
Answer:
The answer is option DStep-by-step explanation:
[tex] \frac{1}{4} (2x + 8) = - 16[/tex]First multiply through by 4
That's
[tex]4 \times \frac{1}{4}(2x + 8) = - 16 \times 4 \\ 2x + 8 = - 64[/tex]Subtract 8 from both sides
We have
[tex]2x + 8 - 8 = - 64 - 8 \\ 2x = - 72[/tex]Divide both sides by 2
That's
[tex] \frac{2x}{2} = - \frac{72}{2} [/tex]We have the final answer as
x = - 36Hope this helps you
-1/2x-1/4(10x-9)=-(-7/4x+2)-x
Answer:
x= 17/15
Step-by-step explanation:
−1/2 x- 1/4 (10x−9)=−( -7/4 x+2)−x
5x (x+8)= - 7 quadratic or not? explain,
Answer:
Step-by-step explanation:
Yes it is a quadratic equation
5x^2 + 40x = -7
5x^2 + 40x + 7 = 0
a = 5
b = 40
c = 7
-40/10 + (sqrt(1600 - 4(5)(7)))/10
-4 + (sqrt(1600-160))/10
-4 + (sqrt(1440))/10
-4 + 12(sqrt(10))/10
-4 + 6/5(sqrt(10))
Set of the equation
X+9=26
Answer:
17
Step-by-step explanation:
subtract 9 from 26 and you should get the answer
Solve for b. A=1/2(b+h)
Answer:
b = 2A - hStep-by-step explanation:
A = 1/2(b+h)
×2 ×2
2A = b + h
- h - h
2A - h = b
b = 2A - h
Write the mixed number as a fraction. Write the fraction as a mixed number.
[tex]8 \times \frac{1}{3} [/tex]
which is not a correct name to name an angle
Answer:
<TGE
Step-by-step explanation:
it must connect
What is the x-coordinate of the solution to the following system of equations?
x − y = −3
x + 3y = 5
x = −2
x = −1
x = 1
x = 2
The {x} coordinate of the solution to the following system of equations is - 1.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the system of equations as -
x − y = − 3
x + 3y = 5
We can write -
x - y = - 3
y = x + 3
So, we can write -
x + 3(x + 3) = 5
x + 3x + 9 = 5
4x = - 4
x = - 1
Therefore, the {x} coordinate of the solution to the following system of equations is - 1.
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determine the quotient of 2/3 ÷ 4/5
Answer:
5/6
Step-by-step explanation:
It might make the problem easier to understand if we were to rewrite it as:
2
----
3
======
4
----
5
In this expression, we're dividing by a fraction, the fraction 4/5. We can get the same result by inverting this divisor fraction, 4/5, and then multiplying 2/3 by 5/4:
5 2
----- * -----
4 3
This reduces to
5 1
----- * ----- = 5/6
2 3
Grissom draws different sized spheres in a notebook. He knows there is a relationship between the volume of the sphere and the length of its diameter. What is the independent quantity in the situation?
Answer:
The independent quantity in the situation is the length of the diameter.
Step-by-step explanation:
Consider a relationship between two variables.
Of the two variables one variable is dependent upon the other.
Dependent variables are those variables that are under study, i.e. they are being observed for any changes when the other variable values are changed.
Independent variables are the variables that are being altered to see a proportionate change in the dependent variable.
In this case, it is provided that Grissom knows there is a relationship between the volume of the sphere and the length of its diameter.
With every sphere that Grissom draws, the volume of the sphere changes according to its diameter length.
That is the volume of the sphere depends upon the length of its diameter.
Thus, the independent quantity in the situation is the length of the diameter.