The equation, representing the cost of each book, c, which Jade buys is c = 50/4. The cost of each book represented by c in this situation is $12.5
How to interpret the division?When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.
Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.
Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.
Thus, [tex]a \div b[/tex] = a divided in b equal parts.
Also, we can write: [tex]a \div b = a \times \dfrac{1}{b}[/tex]
(it is so because as a = a times 1 so [tex]a/b = 1 \times (a/b) = (1/b) \times a[/tex] )
For this case, we're given that;
Jade buys 4 booksEach book's cost is same, represented by 'c' (in dollars)Total amount spent on buying those 4 books = $504 books = $50 in cost
Dividing 4 books in 4 groups equally gives 1 book per group.
Dividing $50 in 4 groups equally, which would correspond to those 4 groups of books, would give cost per group, and therefore cost of each book.
We've got:
[tex]\text{Cost of each book} = c = \dfrac{50}{4} \: \rm (in \: dollars)[/tex]
Dividing further, we get:
[tex]c = 50/4 = 12.5 \: \rm dollars[/tex]
Thus, the equation, representing the cost of each book, c, which Jade buys is c = 50/4. The cost of each book represented by c in this situation is $12.5
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11 Dani wants to buy cookies for her friend. The radius of a cookle is 5 Inches. What is the cookie's circumference? Round to the nearest tenth
Answer:
Around 31.4
Step-by-step explanation:
The circumference formula of a circle is C=2[tex]\pi[/tex]r. Plug the radius in which is 5. 5 times 2 is 10. 10 times pi would be around 31.4
best answer gets brainly ^^
Answer:
(6, 5)
Step-by-step explanation:
Coordinates are written in the form (x, y), where x is the x-axis value that the point is in, in this case 6, and where y is the y-axis value, in this case 5.
Answer:
the answer would be (6,5)
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out the maximum amount of profit the company can make, to the nearest dollar. y= -6x^2 + 600x - 5726
The maximum amount of profit the company can make is 9274
What is differentiation?Differentiation is the rate of change of one quantity with respect to the other.
It is the ratio of the change in one quantity, usually the dependent quantity to the change in another related quantity, usually the independent quantity.
Analysis:
y= -6x^2 + 600x - 5726
differentiating the equation,
dy/dx = -12x + 600
for maximum selling price, dy/dx = 0
-12x + 600 = 0
12x = 600
x = 50
The maximum selling price is 50, so substituting x to find y
y = -6(50)(50) + 600(50) - 5726 = 9274
In conclusion, the maximum amount of profit the company can make is 9274.
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How many square feet of glass is used to create the window
Answer:108
mark me brainliest
Step-by-step explanation:8 pieces of glass uses 1 sqft. glass window. 864 sqin. required = = 108 pieces. Number of pieces required for 864 sq.inches = 108 pieces.
please help and explain
Answer:
Step-by-step explanation:
Remark
These two angles are related by the supplement of corresponding angles. So they add to 180.
Equation
<1 + <2 = 180
2x + 4 + 8x - 14 = 180
Givens
<1 = 2x + 4
<2 = 8x - 14
Solution
<1 + <2 = 180 Substitute the givens into this equation
2x + 4 + 8x - 14 = 180 Combine like terms
2x + 8x + 4 - 14 = 180
10x - 10 = 180 Add 10 to both sides
10x-10+10 = 180+10 Combine
10x = 190 Divide by 10
10x/10 = 190/10
x = 19
Answer: x = 19
the annual tuition and parent rating of 12 private schools is shown in the scatterplot the schools are waiting on a scale of 0 to 100.
Part A: describe the association shown in scatterplot
Part B: give an example of a data points that affects the appropriateness of using a linear regression model to fit all the data. Explain
Part C: give an example of a school that is cost-effective and rated highly by parents
There is no association in scatter plot of the annual tuition and parent rating of the 12 private schools
Part A: The association shown in scatter plotWe can see that the points on the scatter plot are scattered, and they do not follow a specific pattern.
This means that there is no association in scatter plot
Part B: A data points that affects the appropriateness of using a linear regression modelA point that would affect the appropriateness is a point that is relatively far from other data points i.e. an outlier
An example of this point is the point between x = 8000 and 10000 and y = 0 and 10
Part C: A school that is cost-effective and rated highly by parentsThis school would have a high rating and a medium or not so high cost
From the scatter plot, an example of a school that has this feature have a tuition close to $6000 and rating close to 90
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Rewrite in simplest radical form 1 over the quantity x to the negative three sixths end quantity. show each step of your process.
Applying the property of exponents, the simplest radical form of [tex]\frac{1}{x^{-\frac{3}{6} }}[/tex] is: [tex]\sqrt{x}[/tex].
What is the Property of Exponents?The property of exponents that can be used to solve this problem are:
[tex]a^{-m} = \frac{1}{a^m} \\\\ a^{\frac{1}{2} } = \sqrt{a}[/tex]
Given the expression, [tex]\frac{1}{x^{-\frac{3}{6} }}[/tex], applying the property of exponents, we would simplify the expression as shown below:
[tex]\frac{1}{x^{-\frac{3}{6} }} = x^{\frac{3}{6} }[/tex]
Reduce the fraction
[tex]= x^{\frac{1}{2} }\\\\ = \sqrt{x}[/tex]
Therefore, [tex]\frac{1}{x^{-\frac{3}{6} }} = \sqrt{x}[/tex]
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anyone knows the answer?!
Answer:
Domain: All real numbers
Range: y≤5
Step-by-step explanation:
Domain: All real numbers (it can be all x values)
Range: y≤5 (the y values can be 5 or less.)
Help is much appreciated :)
Answer:
Your answer is B
y < x
y ≥ -x
Step-by-step explanation:
6.14 Checkpoint: Systems of Linear Inequalities
I took the test.
Answer:
B is correct because I too took the test.
6.14 Checkpoint: Systems of Linear Inequalities
Step-by-step explanation:
You're welcome.
How do you find the area of a 2x-3 square
Please help me.
I will give you Brainliest, if you answer correctly
Answer:
9(5x^3-1)
Please Vote Me Brainliest. Thank You.
A signal from a satellite in space travels to the surface of the Earth at the speed of light. The distance between the satellite and the surface of the Earth is 30,425 kilometers. How long does it take for the signal to reach the surface of the Earth, to the nearest thousandth of a second? (Note: Use 3.0 x 10 meters/second for the speed of light. 1 kilometer = 1,000 meters)
Answer:
0.101
Step-by-step explanation:
[tex]speed = \frac{distance}{time} [/tex]
We have speed, and we have distance. So let's rearrange to get time:
[tex]time = \frac{distance}{speed} [/tex]
Let's plug in our numbers (make sure to times distance by 1000 to convert to metres):
[tex]time = \frac{30425000}{3.0 \times {10}^{8} } [/tex]
Which leaves us with:
[tex]time = \frac{1217}{2 ^ {5} \cdot 3 \cdot 5 ^ {3}} \approx 0.101416667[/tex]
Find the Total Surface area of this triangular prism?
Answer:
Im pretty sure its 144 cm
Step-by-step explanation:
Complete the factorization of 3x2 – 10x 8. 3x2 – 10x 8 = (x – )( x – 4)
The factorization of the given expression, 3x² - 10x + 8, is expressed completely as: (x - 2)(3x - 4).
How to Factorize an Expression?Given the expression, 3x² - 10x + 8, to factorize, follow the steps below:
Find two factors that will give you -10 when you add them and also give you 24 when you multiply them. Let's use -6 and -4.
3x² - 6x - 4x + 8
(3x² - 6x) - (4x + 8)
3x(x - 2) - 4(x - 2)
(x - 2)(3x - 4)
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Answer:
2 and 3
Step-by-step explanation:
please help guys anything will be helpful
[tex]~~~~~2^{x+1} = 3^x\\\\\implies \ln \left(2^{x+1}\right) = \ln\left(3^x \right)\\\\\\\implies (x+1) \ln 2 = x \ln 3\\\\\\\implies \dfrac{x+1}x = \dfrac{\ln 3}{\ln 2}\\\\\\\implies 1+ \dfrac 1x = \dfrac{\ln 3}{\ln 2}\\\\\\\implies \dfrac 1x = \dfrac{\ln 3 }{ \ln 2}-1\\\\\\\implies \dfrac 1x = \dfrac{ \ln 3 - \ln 2}{\ln 2}\\\\\\\implies x = \dfrac{\ln 2}{\ln 3 - \ln 2}\\\\\\\implies x \approx 1.7095\\\\\\[/tex]
Can someone please help?? This is sooooo hard!!!
Answer:
Step-by-step explanation:
1) [tex]\overline{AC}[/tex] bisects [tex]\overline{BD}[/tex] and [tex]\overline{BC} \parallel \overline{AD}[/tex] (given)
2) [tex]\overline{AE} \cong \overline{EC}[/tex] (a bisector splits a segment into two congruent parts)
3) [tex]\angle BCE \cong \angle EAD[/tex] (if two parallel lines are cut by a transversal, the alternate interior angles are congruent)
4) [tex]\angle CBE \cong \angle EDA[/tex] (if two parallel lines are cut by a transversal, the alternate interior angles are congruent)
5) [tex]\triangle BEC \cong \triangle DEA[/tex] (AAS)
This is easy I think pls help
solve the equation:-
[tex] - 7n + m[/tex]
[tex] m = - 1.2 \\ n = - 4.8[/tex]
Putting the value:-
[tex] - 7( - 4.8) + ( - 1.2) \\ - 33.6 - 1.2 \\ - 34.8[/tex]
Which measurements of two similar triangles are the same?
A
the angles
B
the angles and legs
C
the lengths of all legs
D
the length of the hypotenuses
A) the angles
Step-by-step explanation:Similar triangles are triangles that have the same shape but different sizes.
Angles
Since similar triangles have the same shape, all of the angles must be congruent. If any of the angles are different sizes, then the shape of the entire triangle would change.
Sides
The sides of a similar triangle are not necessarily congruent. However, because all of the angles are congruent, the sides are proportionate. This means that if you are given the sides and angles of one triangle, you can find the sides and angles of any similar triangle.
How many ways can you fold the square so one half? How many ways an you fold the letter G one half fits exactly on top of the other half?
There are four ways to fold the square into half and the number of ways to fold the letter G is 0
Folding a square?A square has 4 lines of symmetry.
Each line of symmetry divides the square into half
This means that the square can be folded in any of its line of symmetry to get one half
Hence, there are four ways to fold the square into half
Folding the letter GThe letter G has no line of symmetry.
This means that the letter cannot be folded so that the halves fit perfectly
Hence, the number of ways to fold the letter G is 0
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what is greater 42.9 or 42.900 ANSWER PLSSSS
pls answer this question
The number of zeros of the given Polynomial which are α, β and γ are; A:3
How to find the zeros of a Polynomial?We are given the Polynomial;
x³ - 8x² + 4x - 4 = 0
From online polynomial root calculator, to roots of the Polynomial are;
7.54, 0.23, 0.23.
α = 7.54
β = 0.23
γ = 0.23
Thus, we see that there are three roots of the Polynomial. although the latter 2 are imaginary roots.
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Solve the system of the linear equations with three variables:
6x + 4y + z = 12
6x + 4y + 2z = 12
6x + 4y + 3z = 12
Answer:
z = 0
y = -3x/2 + 3
Step-by-step explanation:
6x + 4y + z = 12
6x + 4y + 2z = 12
6x + 4y + 3z = 12
Second equation minus first equation:
z = 0
If you plug in z = 0 in all the original equations, you get a single equation:
3x + 2y = 6
The best you can do is to solve for y in terms of x.
y = -3x/2 + 3
Answer:
z = 0
y = -3x/2 + 3
Español Use the equation below to find y, if m=4, x=8, and b=12. y=mx-b
Answer
[tex]y=4* 8 -12\\[/tex]
Step-by-step explanation:
4 x 8 = 32
y=32-12
y=20
how many 3 servings are in ounces
It depends on the size of the portion and you divide that size by 3 and the result comes out
There are 12 players on a baseball team. In how many different ways can the coach choose players for left field, right field, and center field?
A) 36
B) 220
C) 1320
D) 1728
Find the radius of a circle in which the central angle, o, intercepts an arc of the given length s.
a= 90° s = 57m. Round final answer to nearest tenth.
Which number sequence follows the rule add 4 starting from 2?
Nathaniel has a toy car collection of 480 toy cars. He keeps 216 of the toy cars on his wall. What percentage of Nathaniel's toy car collection does he keep on his wall?
Answer:
45%
Step-by-step explanation:
216/480
216 ÷ 480
= 0.45
0.45 × 100
= 45%
5y-2x=-3/-4y+x=12 Can someone help me with this system of equation.
[tex]-2x+5y +3=0~~~~~~.....(i)\\\\x-4y -12=0~~~~~~,,,,(ii)\\\\\\~~~~~~~~\dfrac{x}{5(-12)-3(-4)} = \dfrac{y}{3\cdot 1 -(-2)(-12)}=\dfrac{1}{(-2)(-4)-5\cdot 1} \\\\\\\implies \dfrac{x}{-60+12}= \dfrac{y}{3-24} = \dfrac1{8-5}\\\\\\\implies -\dfrac{x}{48}=-\dfrac y{21} = \dfrac 1{3}\\\\\\\implies x = -\dfrac{48}{3},~~~ y = -\dfrac{21}{3}\\\\\\\implies x = -16, ~~~~ y = -7[/tex]
round to the nearest hundreth