Answer: 20 meters.
Step-by-step explanation:
The formula for calculate the area of a square is:
[tex]A=s^2[/tex]
Where "s" is the side length of the square:
The formula for calculate the area of a rectangle is:
[tex]A=lw[/tex]
Where "l" is the lenght and "w" is the width.
Based on the information provided, you know the sum of the areas of the square land and the adjacent land is 600 m². This is:
[tex]A_1+A_2=600\\\\s^2+lw=600[/tex]
Knowing that the width of the adjacent land is 10 meters:
[tex]s^2+10l=600[/tex]
Since the lenght of the adjacent land and the side lenght of his actual land are equal:
[tex]l=s[/tex]
You can substitute this into [tex]s^2+10l=600[/tex]:
[tex]s^2+10s=600\\\\s^2+10s-600=0[/tex]
Applying the Quadratic formula, you get:
[tex]s=\frac{-b\±\sqrt{b^2-4ac} }{2a}\\\\s=\frac{-10\±\sqrt{(10)^2-4(1)(-600)} }{2(1)}\\\\s_1=20\\\\s_2=-30[/tex]
Since the side lenght cannot be negative, you can determine that this is:
[tex]s=20\ m[/tex]
Which is bigger 0.999 or 1.0?
Answer:1.0
Step-by-step explanation: 0.999 repeating is not a whole number like 1.0
Answer:
1.0
Step-by-step explanation:
Look at where the numbers are placed, in regards to the decimal point.
If a number is 1 place before a decimal point (For example 5.0) it is in the ones place.
If a number is 1 place after a decimal point (For example 0.1) It is in the tenths place.
Any numbers that are to the right the decimal are smaller than numbers to the left!
Which mixed number is equvilent to thevimproper fraction 23/6
Which of the following represents the additive identity?
1. ab = ab
2. a x 1 = a
3. a+b = b+a
4. a + 0 = a
Answer:
4. a + 0 = a
Step-by-step explanation:
The zero means that it is the additive property.
Answer:
a + b = a
Step-by-step explanation:
Additive identity- the number 0; when added to any number, the value of the number does not change.
An article fills 5/8 of a magazine page. A
related photo takes up 1/4 of the article. How
much of the page is taken up by the photo?
Answer:
35
Step-by-step explanation:
bundles tundra dismay chard bff dusk m u
Based on the given information, the photo takes up 5/32 of the page.
How much of the page is taken up by the photo?To find out how much of the page is taken up by the photo, multiply the fraction representing the article's portion of the page (5/8) by the fraction representing the photo's portion of the article (1/4).
First, calculate the fraction representing the photo's portion of the page:
(5/8) * (1/4) = 5/32
Therefore, the photo takes up 5/32 of the page.
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Six times a number equals 3 times the number, increased by 12. Find the number
Answer:
x=4
Step-by-step explanation:
"A number" can be rewritten as X:
6x=3x+12
1) subtract 3x on both sides:
3x=12
2) divide both sides by 3:
x=4
What is lcm of 5 , 6 and 7
Answer:
210
Step-by-step explanation:
Since the three numbers have no factors in common, you can get the LCM by multiplying all three numbers.
Subtract 5m-2 from m-7
Answer:
-4m-5
Step-by-step explanation:
The trick here is knowing not to combine terms with variables with terms that don't have variables.
[tex]m-7-(5m-2)\\m-7-5m+2\\m-5m-7+2\\-4m-5[/tex]
So the answer is -4m-5
Answer:
-4m - 5Step-by-step explanation:
[tex](m-7)-(5m-2)\\\\=m-7-5m-(-2)\\\\=m-7-5m+2\qquad\text{combine like terms}\\\\=(m-5m)+(-7+2)\\\\=-4m-5[/tex]
A shoe store offers a frequent-buyers card. Each transaction is worth 10 points, and customers
automatically earn 22 points when they sign up.
Enter the function rule for the transaction function, where p represents the number of transactions.
The function rule is N (p)=__
In graphing the function,___
would be the slope and___
would be the y-intercept.
Answer:
N(p) = 22 + 10p
In graphing the function, N(p) = 22 + 10p
would be the slope and 10;
and 22 would be the y-intercept.
Step-by-step explanation:
Let p represents the number of transactions.
Each transaction is worth 10 points, then p transactions are worth 10p points.
Customers automatically earn 22 points when they sign up.
The total amount of points is
N(p) = 22 + 10p
In graphing the function, N(p) = 22 + 10p
would be the slope and 10;
and 22 would be the y-intercept.
What is the constant of proportionality from the equation y=7.25x
How many times does the quadratic function below intersect the x-axis?
y = 2x2 +7x+6
Answer:
once
Step-by-step explanation:
since the equation is liner, with x simply to the first power, it will only cross the x axis once. x^2 would cross the x axis twice, x^3 would cross it three times, and so on
Given quadratic function [tex]y = 2x^{2} +7x+6[/tex] intersects the x-axis two times.
What is quadratic function?" Quadratic function is defined as the function which has variables with highest degree two."
According to the question,
Given quadratic function,
[tex]y = 2x^{2} +7x+6[/tex]
If quadratic function intersect x-axis value of [tex]y=0[/tex] we have,
[tex]2x^{2} +7x+6 =0\\\\\implies 2x^{2} + 4x+3x + 6=0\\ \\\implies 2x(x+2) + 3(x+2)=0\\\\\implies (2x+3) (x+2)=0\\\\\implies 2x+3 =0 \ or \ x+2=0\\\\\implies x = \frac{-3}{2} \ or \ x =-2\\\\\implies x = -1.5 \ or \ x =-2[/tex]
As shown in graph , quadratic function intersect x-axis at two points [tex](-2,0)[/tex] and [tex](-1.5,0)[/tex].
Hence, given quadratic function [tex]y = 2x^{2} +7x+6[/tex] intersects the x-axis two times.
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Your bank account balance is −$20.85. You deposit $15.50. What is your new balance?
Your new balance=$-5.35
Answer:
[tex]-5.35[/tex] [tex]dollars[/tex]
Step-by-step explanation:
Currently, your bank account balance is [tex]-20.85[/tex] [tex]dollars[/tex]
You then [tex]deposited^{1}[/tex] [tex]15.50[/tex] [tex]dollars[/tex]
This means:
That you added $15.50 into your bank account balance, so:
-$20.85 + $15.50
==> -5.35
FOOTNOTE:
Deposited - put or set down
Helppp it’s due today!!
Answer: 15 + c = 64
Step-by-step explanation:
we need to do 15 + 64
C represents her age, which would be 49, if you needed to know
Therefore the equation is 15 + c
Estimate 815-281 to get the answer
Answer:800-300
Step-by-step explanation:
since there is a 1 after the 8 it would go down to 800 and there is a 8 after the 2 so it would go up to 300
Answer:
The estimated answer is 780.
Step-by-step explanation:
Given : Expression [tex]815-28[/tex]
To find : Estimate the expression ?
Solution :
Estimation is to approximate the number to its nearest value for making calculation easier.
Estimate 815 as 810.
Estimate 28 as 30.
So, Substituting these values
[tex]810-30=780[/tex]
Therefore, The estimated answer is 780.
7.
A holiday meal cost $12.50 a person plus a delivery fee of $30.
Which equation represents the amount a holiday meal
costs(y), including delivery, for x people?
Answer:
12.50x+30
Step-by-step explanation:
Answer:
[tex]y = 12.5x + 30[/tex]
Step-by-step explanation:
We are given the following information in the question:
Cost of a holiday meal = $12.50
Delivery fee = $30
Cost(y) represents the amount a holiday meal including delivery for x people.
[tex]cost = (\text{Cost of meal}\times x) + \text{Delivery chareges}[/tex]
Putting all the values,
[tex]y = 12.50\times x + 30\\y = 12.5x + 30[/tex]
The above equation gives the total amount of holiday meal for x people including the delivery charges.
Use the properties of exponents to complete the equivalent expression.
Answer:
15
Step-by-step explanation:
We can multiply powers with the same base
x^4⋅x^2=(x⋅x⋅x⋅x)⋅(x⋅x)=x^6
Properties of exponents are rules used to simplify mathematical expressions involving exponents. Examples are Power of a Power which means adding exponents when multiplying two expressions with the same base, and Quotient of Powers which is subtracting exponents when dividing two expressions with the same base.
Explanation:The question is about the properties of exponents. In mathematics, the properties of exponents refer to the rules that guide how expressions involving exponents are handled. For example, when you multiply two expressions with the same base, you add the exponents (also known as the Power of a Power property). So, an exponent like x^3 * x^2 simplifies to x^(3+2) = x^5.
Another example is the quotient of powers property, where you subtract the exponents when dividing two expressions with the same base. So, an expression like x^5 / x^3 simplifies to x^(5-3) = x^2.
These are just a couple of the basic properties of exponents. Other properties include the power of a product, the power of a quotient, zero exponent, and negative exponent. Each of these properties follows specific rules to simplify the expression involving exponents.
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What is the solution of the following system?
-2x-y=1
-4x-2y=-1
A. infinitely many solutions
B. no solutions
C. (3,8)
D.(-3,-8)
B
when we multiply the equation and subtract equatio 2 from equation 1 the result is 0=-4 and 0=2
Answer: The correct option is
(B) no solution.
Step-by-step explanation: We are given to find the solution of the following system of equations :
[tex]-2x-y=1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\-4x-2y=-1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]
From equation (i), we have
[tex]-2x-y=1\\\\\Rightarrow y=-2x-1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)[/tex]
Substituting the value of y from equation (iii) in equation (ii), we get
[tex]-4x-2(-2x-1)=-1\\\\\Rightarrow -4x+4x+2=-1\\\\\Rightarrow 2=-1,[/tex]
which can never be possible.
Thus, the given system of equations have no solution.
Option (B) is CORRECT.
A school district purchased 615 new laptops for their mobile labs. Each computer cost $409. What is the total cost for all of the laptops?
Answer: $251,535 is the total cost for all the laptops.
Step-by-step explanation:
615×409= 251,535
Answer:
[tex]total\ cost=\$251,535[/tex]
Step-by-step explanation:
For this exercise it is important to analize the information provided in the exercise.
According to the exercise, the of cost each computer is:
[tex]cost=\$409[/tex]
You know that the school district purchased 615 new laptops for their mobile labs; therefore, in order to calculate the total cost for all the laptops purchased, you must multiply the cost of one laptop ($409) by 615.
Therefore, you get that the total cost is the following:
[tex]total\ cost=(\$409)(615)\\\\total\ cost=\$251,535[/tex]
Anna has the following averages in his math class.
REPORT
CARD
Homework Avg: 95
Quiz Avg: 90
Test Avg: 87
Final Exam: ?
If the teacher weights homework at 20%, Quizzes at 20%
Tests at 40% , and the final exam at 20%, what is the
minimum grade Anna can make on the final so that she
scores a 90 in the class?
a. 86
b. 91
C.
d
94
98
Answer:
b) 91
Step-by-step explanation:
Step 1: Multiple marks by its weights
Homework average: 95 x 20% = 19
Quiz average: 90 x 20% = 18
Test average: 87 x 40% = 34.8
Final exam: y x 20% = 0.2y
Step 2: Add all weighted averages and find y
19+18+34.8+0.2y = 90
71.8 + 0.2y = 90
y = 18.2/0.2
y = 91
Therefore, Anna needs to score minimum 91 in the final exam so that she can score a 90 in class.
Option b is correct.
!!
Definiton of numerator?
The numerator is the number above a fraction bar. It indicates how many parts of the whole.
Answer: the part of a fraction that represents how many equal parts are being counted
Step-by-step explanation:
For example
1/6 the one is a numerator
What is 5.9 rounded to
Answer:
6
Step-by-step explanation:
through a point not in a plane are an infinite number of lines parallel to the plane always sometimes never
Answer:
sometimes
Step-by-step explanation:
i think sometimes
Answer:
ALWAYS!!
Step-by-step explanation:
What is the base of the triangle when the area is 120ft and the height is 8ft
The base is 30.
Hopefully I got this correct, not 100%
Answer: 30 ft
Step-by-step explanation:
Area of a triangle= (bh)/2
* multiply both sides by 2
2A=bh
*divide by h
(2A)/h=b
*substitute values
(2x120)/8=b
240/8=30
A chef wants to make 2 quarts of salad dressing. Currently, he has 18 parts oil, and 4 parts vinegar. How much oil must be added to get 24 parts oil and 3 parts vinegar? Write and solve an equation.
Answer:
24 plus 18 plus 2 plus 4 plus three
Evaluate the variable expression for x = 5, and enter your answer in the box
below.
7•(x-8)-3
Answer:
-18
Step-by-step explanation:
I used order of operations. first. you want to go the thing in parentheses. then I times it by 7 and minuses it by 3
The evaluation of the given mathematical expression 7•(x-8)-3 for x = 5 results in -24.
Explanation:To evaluate the variable expression 7•(x-8)-3 for x = 5, we substitute the value of x into the expression.
This becomes 7•(5-8)-3, which simplifies to 7•(-3)-3, or -21-3. Therefore, the evaluation of the given expression for x = 5 is -24.
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Julian saved between $ 30 and $ 52 over the summer. His friend Daniela saved twice as much. Let n represent the amount of money Julian saved. Write and solve an inequality to represent the amount of money Daniela saved.
Answer:
$60 - $104
Step-by-step explanation:
Based on what we know, we double $30 and double $52 which gives us $60 and $104. As we don't know the exact number we need to double we do that. This tells us that Daniela saved between $60 - $104.
If Julian saved between $ 30 and $ 52 over the summer. The inequality represents the amount of money Daniela saved which will be $ 60 < n < $ 104.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
For the inequality, we have to apply the arithmetic operation in which we do the multiplication of x and apply the inequality for the given data.
It is given that,n represents the amount of money and Julian saved between $ 30 and $ 52 over the summer.
The inequality represents the amount saved by Julian is,
$ 30<n<$ 52
If Daniela saved twice as much then he saved the amount between $ 60 and $ 104.If n shows the inequality for the amount Daniela saved then the inequality is shown as,
$ 60<x<$ 104
Thus, if Julian saved between $ 30 and $ 52 over the summer. The inequality represents the amount of money Daniela saved which will be $ 60 < n < $ 104.
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5(8g+5-2)
Please explain
Will give thanks and brainliest
Answer:
[tex]15 + 40g[/tex]
Step-by-step explanation:
Use the Distributive Property to figure this out:
[tex]5(8g + 5 - 2) \\ 40g + 5(5 - 2) \\ 40g + 5(3) \\ \\ 40g + 15[/tex]
* The above answer is written in reverse, which is the exact same result.
I am joyous to assist you anytime.
Which is the graph of g(x) = x - 16?
Answer: See attached graph
Nine less than a number is between 3 and 8. Find the range of numbers that make this true.
Answer:
The range of the numbers make this true is (12 , 17)
Step-by-step explanation:
Lets explain how to solve the problem
The statement is:
→ Nine less than a number is between 3 and 8
Assume that the number is x
∵ The number is x
∴ Nine less than a umber is x - 9
→ The difference is between 3 and 8
∴ 3 < x - 9 < 8
∴ Nine less than a number is between 3 and 8 ≡≡≡ 3 < x - 9 < 8
Lets solve the inequality to find the range of x
∵ 3 < x - 9 < 8
Add 9 to each side
∴ 3 + 9 < x - 9 + 9 < 8 + 9
∴ 12 < x < 17
∵ There is no mention about the type of the number that is integer or
rational number or real number
∴ The range of x is any number between 12 and 17
The range of the numbers make this true is (12 , 17)
Remember you can use any number between 12 and 17 but you
cannot use 12 or 17
The range of numbers that make this true is (12, 17).
Let the numbers be represented by x.
Therefore, based on the information given, the number will be:
x - 9 = 3
x = 3 + 9
x = 12
The first number is 12.
x - 9 = 8.
x = 8 + 9
x = 17
Therefore, the range of numbers that make this true is (12, 17).
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A bag contains 6 blue marbles, 4 red marbles, and 2 yellow marbles. What is the probability of selecting a blue marble, replacing it, then selecting another blue marble?
A. 1/4
B. 1
C. 30/144
D. 36/121
E. 30/121
If f(x) = 3x2 + 1 find f(6).
109
5/3
325
Answer:
The answer is 109.
Do you use the Monarch school program?? Looks just like mine!