Division is one of the four fundamental arithmetic operations. The number of batches of cookies to make from a bag of flour is 40.
What is Division?Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that a bag of flour contains ten cups of flour. And one batch requires 1/4 cup of flour. Therefore, we can write,
The number of cups of flour in a bag = 10 cups of flour
The number of cups required to make one batch of cookies = 1/4 cup of flour
The number of batches of cookies can be made with a bag of flour is,
Number of Batches = 10 cups of flour / 1/4 cup of flour per batch
= 40 batches
Thus, the number of batches of cookies to make from a bag of flour is 40.
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Identify ALL of the constants & coefficients of the following equation:
18 - 5W + 7w-4 = 28
Answer:
constants are 18, -4 and 28
coefficients are -5, 7
Step-by-step explanation:
constants are numbers not attached to variables
coefficients are numbers attached to variables
(30 points) find the measure of each lettered angle a= b= c= d= e= f= g= h= i=
Answer:
a=90 b=90 c=90 d=148 e=32 f=148 g= 122 h=58 l=122
Step-by-step explanation:
a is supp. to 90 degrees, therefore it is 90 (180-90)=90.
b and c are vertical angles, therefore they are the same as the angle directly across from them
d is supp. to 32 degrees, therefore it is 148 (180-32)=148
e and f are vertical angles, therefore they are the same as the angle directly across from them
g is supp. to 58 degrees, therefore it is 122 (180-58)=122
h and l are vertical angles, therefore they are the same as the angle directly across from them
Find R and theta with the coordinates (-3,7).
"R" is the distance from the origin to the point.
R = √(-3² + 7²)
R = √(9 + 49)
R = √(58)
R = 7.62
tangent (Θ) = 7 / -3
Θ = arctan (7 / -3)
Θ = 113.2° counterclockwise from the x-axis
Solve for y.
8+4y= -8
Answer:
-4
Step-by-step explanation:
8+4y= -8
4y= -8 -8
4y= -16
divide both sides by the coeffient of the variable. in this case divide both sides by 4
y=-4
Answer:
y = -4
Step-by-step explanation:
8+4y= -8
4y = -8 -8
4y = -16
y = (-16) ÷ 4
y = -4
A coordinate plane with a line passing through the points (0, negative 4) and (2, 2).
What is the equation of the graphed line written in standard form?
–3x + y = –4
y = 3x – 4
y + 3x = 4
3x – y = 4
Answer:
The answer is D
Step-by-step explanation:
The only logical explanation
Equation of the graphed line passing through the points (0, - 4) and (2, 2) is equals to [tex]y = 3x - 4[/tex].
What is coordinate plane?" Coordinate plane is defined as the two dimensional plane formed by number line named x-axis and y-axis."
Formula used
Standard equation of the line
[tex]\frac{y-y_{1} }{x-x_{1} } =\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
According to the question,
Points passing through coordinate plane,
[tex](x_{1} ,y_{1} ) = (0,-4)\\\\(x_{2} ,y_{2} ) = (2,2)[/tex]
Substitute the coordinates in the formula to get the equation of line ,
[tex]\frac{y-(-4) }{x-0 } =\frac{2-(-4) }{2-0}[/tex]
⇒ [tex]\frac{y+4 }{x } =\frac{6 }{2}[/tex]
⇒[tex]y + 4= 3x[/tex]
⇒[tex]y=3x-4[/tex]
Hence, the equation of the line is [tex]y=3x-4[/tex].
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This graph shows the number of miles a freight train travels over a period of time.
Freight Train Travel Rate
What is the slope of the line?
Use the number pad to enter your answer in the box
What is the common ratio (r) of the geometric sequence 1, 5, 25, 125?
Answer:
The common ratio is 5
Step-by-step explanation:
We know this because the first term times 5 equals the second term and the second term times five equals the third term and so forth.
the product of -3 and the square of a number decreased by 8.
Answer:
[tex]n^{2}(-3) -8[/tex]
Step-by-step explanation:
So the "product of" means the answer to a multiplication problem. That means -3 is being multiplied by a number which is squared. I used the variable "n" for number but you could use any letter you want.
This is what we have so far,
[tex]n^{2} \\[/tex] x -3 or [tex]n^{2}[/tex](-3)
The term decreased means to reduce or subtract. Which means we are left with....
[tex]n^{2}(-3) -8[/tex]
Hope that helps and have a great day!
an elevator traveled up to the 9th floor and then down to the third floor. how many floors did the elevator travel down
Answer:
in went down 6 floors.
Step-by-step explanation:
9-6=3 so that's how I found the answer.
john is trying new things on his adventure vacation and is excited about riding a zip line for the first time the zip line is 12 feet high and run distance of 200 feet what is the slope of zip line
Answer:
12/200
Step by Step:
Simplify Expression
16 - (1 - 5x) - 4x - 29
Answer:
-9x-14
Step-by-step explanation:
What is 8c-4-2c+5= simplified
Answer:
6c+1Step-by-step explanation:
[tex]8c-4-2c+5\\\\\mathrm{Group\:like\:terms}\\=8c-2c-4+5\\\\\mathrm{Add\:similar\:elements:}\:8c-2c=6c\\=6c-4+5\\\\\mathrm{Add/Subtract\:the\:numbers:}\:-4+5=1\\=6c+1[/tex]
P
-4x - 3y= -26
-5x+2y= -21
Find the solution to the system of equations shown above by graphing.
A. X= 5, y= 2
B. X= 5, y=3
C. X= 2, y = 5
D. x= 6, y= 2
PLEASE EXPLAIN!!!
HELP ME WITH THIS I NEED TO ANSWER IT ASAP
Answer:
e 125x
f 125 x 12 =150
Step-by-step explanation:
What is the 4th term in the sequence?
a(n) = -1/16(2)n−1
Answer:
To find the 1st term, put n = 1 into the formula, to find the 4th term, replace the n's by 4's: 4th term = 2 × 4 = 8. Example.
Step-by-step explanation:
Hope this helps
Please help lol it’s quick
AR:AB = 1/5 means that AR has length equal to 1/5 of the length of AB.
To find the x coordinate of R, you take 4/5 of the x coordinate of A plus 1/5 of the x coordinate of B:
4/5 * 1 + 1/5 * 4 = 8/5
You do the same for the y coordinate:
4/5 * (-1) + 1/5 * 4 = 0
So the point R has coordinates (8/5, 0).
I have a terrible problem. I cannot figure it out. What is the blank? 6= _ - (-8)
Answer:
x=-2
Step-by-step explanation:
[tex]6=x-(-8)\\\\6=x+8\\\\6-8=x+8-8\\\\-2=x[/tex]
Answer:
- 2
Step-by-step explanation:
Step 1:
x - ( - 8) = 6
Step 2:
x + 8 = 6
Step 3:
x = 6 - 8
Answer:
x = - 2
Hope This Helps :)
1) Which expression represents the volume
of a shipping box?
Answer:
(s+2)^3
Step-by-step explanation:
I think this is referring to a square as a box, so the length of a jewelry box would be s. We learn that a shipping box is 2 inches longer, so s+2 = the length of the shipping box.
Volume = Length*Width*Height, but if square, all dimensions are the same, so s+2 to the power of 3 would be your answer.
Answer:answer (s+2)^3
Step-by-step explanation: ( I did it on iready
• The value of the expression is
Answer:
15
Step-by-step explanation:
[tex](a+b)^{3}-12[/tex]
= [tex](2+1)^{3}-12[/tex]
= [tex](3)^{3}-12[/tex]
=(27)-12
=15
Given: f(x)=4x-9 and g(x)= 2x-3. What is the value of (f+g)(0)=?
A.-9
B.-10
C.-11
D.-12
Answer:
D. -12
Step-by-step explanation:
if f=4x-9, and g=2x-3, and the value is (f+g), then we have to add the equations. This is equal to 6x-12. And then, in '(f+g)(0)', it is asking what is the y-value at x=0. Plug in 0 into the equation, and the y-value equals -12.
Solve for the indicated variable.
a -c=d-r. for a
a=
Answer:
a= d-r +c
Step-by-step explanation:
a-c = d-r
+c
a= d-r +c
Solving for a gives the result as a = d - r + c
What is a variable ?A variable is something which can vary from a given set of numerical values.We can also substitute some specific values to a variable.
A constant on the other hand is a fix value even if it is denoted by some letter it is a fixed numerical value that can not be changed.
According to the given question
a is the indicated variable.
Given a - c = d - r
a = d - r + c
moving any constant or variable from one side to another changes the sign of the constant or the variable.
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Help!!!!!! Put the circle with the greatest area on top. circumference = 30 diameter = 3 radius = 10
Answer:
10 , 30 , 3
Step-by-step explanation:
Your radius: 10 is the greatest
The circumference is 30 that came from 10 x 3( diameter x radius)
and the diameter is 3 which is the smallest
express 6^1/4 b^3/4 c^1/4 using a radical
Answer:
B
Step-by-step explanation:
[tex]6^{\frac{1}{4} } b^{\frac{3}{4} }c^{\frac{1}{4} }\\\\=(6^1b^3c^1)^{\frac{1}{4} }\\\\=(6b^3c)^\frac{1}{4} \\\\=\sqrt[4]{6b^3c}[/tex]
so answer is B
[tex]6^{\frac{1}{4} }b^{\frac{3}{4} }c^{\frac{1}{4} }[/tex] expressed as a radical is d. [tex]\sqrt[4]{(6b^{3}c )}[/tex]
To answer the question, we need to know what radicals are.
What are radicals?Radicals are roots of numbers. They are written in the form [tex]\sqrt[n]{x}[/tex] where n is the nth root of x.
Now given that we want to express [tex]6^{\frac{1}{4} }b^{\frac{3}{4} }c^{\frac{1}{4} }[/tex] as a radical, we having using the laws of indices
[tex]6^{\frac{1}{4} }b^{\frac{3}{4} }c^{\frac{1}{4} } = (6b^{3}c )^{\frac{1}{4} } \\6^{\frac{1}{4} }b^{\frac{3}{4} }c^{\frac{1}{4} }= \sqrt[4]{(6b^{3}c )}[/tex]
Thus, we have expressed it as a radical.
So, [tex]6^{\frac{1}{4} }b^{\frac{3}{4} }c^{\frac{1}{4} }[/tex] expressed as a radical is d. [tex]\sqrt[4]{(6b^{3}c )}[/tex]
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Sarah and her 4 friends share some cookies. If each person gets 3 cookies, how many cookies were shared? Write a mathematical equation that represents this situation.
Equation:
3 x 5 = 15
15 cookies is the answer.
Sarah and her 4 friends are 5 people in total.
They are each getting 3 cookies.
You are adding three cookies for each friend. That is the same as multiplying 5 times.
Answer:
Step-by-step explanation:
c/5. = 3
5c = 3
c/4. = 3
4c = 3
Estimate the value of negative square root of 150.
Answer:
-12.25
Step-by-step explanation:
Let's investigate what happens when negative values appear under the radical symbol (as the radicand) for cube roots and square roots.
In some situations, negative numbers under a radical symbol are OK. For example, radnegnew14is not a problem since (-2) • (-2) • (-2) = -8, making the answer -2. In cube root problems, it is possible to multiply a negative value times itself three times and get a negative answer.
Difficulties, however, develop when we look at a problem such as radnegnew214. This square root problem is asking for a number multiplied times itself that will give a product (answer) of -16. There simply is no way to multiply a number times itself and get a negative result. Consider: (4) • (4) = 16 and (-4) • (-4) = 16.
CUBE ROOTS:
radnn1
BUT
SQUARE ROOTS:
n2
Yes, (-2) x (-2) x (-2) = -8.
No problem.
Nope! (4) x (4) ≠ -16.
Nope! (-4) x (-4) ≠ -16.
bullet Square roots are the culprits! The difficulties arise when you encounter a negative value under a square root. It is not possible to square a value (multiply it times itself) and arrive at a negative value. So, what do we do?
statement
The square root of a negative number does not exist among the set of Real Numbers.
When problems with negatives under a square root first appeared, mathematicians thought that a solution did not exist. They saw equations such as x2 + 1 = 0, and wondered what the solution n3 really meant.
In an effort to address this problem, mathematicians "created" a new number, i, which was referred to as an "imaginary number", since it was not in the set of "Real Numbers". This new number was viewed with much skepticism. The imaginary number first appeared in print in the year 1545.
def The imaginary number "i" is the square root of negative one.
neg i
An imaginary number possesses the unique property that when squared, the result is negative.
irad1
Consider: irad2a
The process of simplifying a radical containing a negative factor is the same as normal radical simplification. The only difference is that the irad4 will be replaced with an "i ".
As research with imaginary numbers continued, it was discovered that they actually filled a gap in mathematics and served a useful purpose. Imaginary numbers are essential to the study of sciences such as electricity, quantum mechanics, vibration analysis, and cartography.
When the imaginary i was combined with the set of Real Numbers, the all encompassing set of Complex Numbers was formed.
I NEED HELP !!!!!!!!!
Answer:
b
d
e
Step-by-step explanation:
the standar form is
[tex]ax^{2} +bx+c=0[/tex]
so it's
[tex]0.5x^{2} -3.2x+5.8=0\\\\-x^2-3x+20=0\\\\\frac{1}{2}x^2+4x-3=0\\\\[/tex]
only that
15p+69=93.
solve for both variables
In a year, there are 12 months. Seven months have 31 days. How many have 28 days? *
Answer:
ALLL OF THEM 12
Step-by-step explanation:
Answer:
4 months are 28 days
Step-by-step explanation:
4x+9=56 what is the value of x
4x + 9 = 56
To Find:The value of x.
Solution:4x + 9 = 56
The value of 9 changes when we take 9 to the Right Hand Side, we get
4x = 56 - 9
Now, The value of 4 changes when we take 4 to the Right Hand Side, we get
x = 47/4
Answer:The value of x is 47/4
helppp pleaseeeeeeeee
Answer:
The probability would be 30/52
Step-by-step explanation:
if there is 52 cards in a deck, there is 26 red card, plus 4 queens equals 30