Answer:
a
Step-by-step explanation:
Solve for a in the proportion.
The square of 356 is 126,736 and the square of 357 is 127,449. What is 3582? Try to solve this problem without multiplying. Show your work.
Answer:
The problem to get 358² is solved by adding 357 twice and then add 1 to the value of 357²
Step-by-step explanation:
The given information are;
The square of 356 = 126,736
The square of 357 = 127,449
We note that 357² = (356 + 1)² = 356² + 2×356 + 1 = 126,763 + 712 + 1 = 127,449
We can write the above equation as follows;
357² = (356 + 1)² = 356² + 356 + 356 + 1 = 126,763 + 712 + 1 = 127,449
357² = 127,449
Similarly, we have;
358² = (357 + 1)² = 357² + 357 + 357 + 1 = 128,164
358² = 128,164
We can also look at the question as forming squares with tiles
To form the square tile with 358 units per side, we add an extra row and column of 357 tiles each. Completing the figure with an extra tile at the top right or left corner
Therefore, the area of the 358 unit per side square = The area of the 357 unit per side + 357 + 357 + 1 = 128,164
the weekly profit of your cat grooming business is modeled by the expression 2x-15. your profit is more than $55 and at most $105 write your profit as an inequality
Answer:
55 < 2x-15 < 105
Step-by-step explanation:
Just set the equation less than and greater than the variables given
Find the midpoint of the line segment with the given endpoints.
1. (-6,3) and (-6,-1)
2. (-3,-1) and (0,9)
Answer:
1. (-6,1)
2. (-1.5,4)
Step-by-step explanation:
1. (-6,3) and (-6,-1)
Midpoint = [tex](\frac{-6+ -6}{2} , \frac{3 + -1}{2}) = (-6, 1)[/tex]
2. (-3,-1) and (0,9)
Midpoint = [tex](\frac{-3 + 0}{2} , \frac{-1 + 9}{2} ) = (-1.5,4)[/tex]
Simply the expressions
n-7-4n
Answer:
-3n-7
Step-by-step explanation:
n-7-4n
and then u combine like terms and u get
-3n-7
Answer:
-3n-7
Step-by-step explanation:
n also means 1n
The value of x is at most 450.
a
x 450
c
x ≤ 450
d
x ≥ 450
Answer:
Junior PSAT
Training Packet
2016-17
Math Department
Answer Key
Section 3: Math Test — No Calculator
QUESTION 1.
Choice C is correct. Subtracting 6 from each side of 5x + 6 = 10 yields 5x = 4.
Dividing both sides of 5x = 4 by 5 yields x =
_4
5
. Te value of x can now be
substituted into the expression 10x + 3, giving 10 ( _4
5 ) + 3 = 11.
Alternatively, the expression 10x + 3 can be rewritten as 2(5x + 6) − 9, and
10 can be substituted for 5x + 6, giving 2(10) − 9 = 11.
Choices A, B, and D are incorrect. Each of these choices leads to 5x + 6 ≠ 10,
contradicting the given equation, 5x + 6 = 10. For example, choice A is
incorrect because if the value of 10x + 3 were 4, then it would follow that
x = 0.1, and the value of 5x + 6 would be 6.5, not 10.
QUESTION 2.
Choice B is correct. Multiplying each side of x + y = 0 by 2 gives 2x + 2y = 0.
Ten, adding the corresponding sides of 2x + 2y = 0 and 3x − 2y = 10 gives
5x = 10. Dividing each side of 5x = 10 by 5 gives x = 2. Finally, substituting
2 for x in x + y = 0 gives 2 + y = 0, or y = −2. Terefore, the solution to the
given system of equations is (2, −2).
Alternatively, the equation x + y = 0 can be rewritten as x = −y, and substituting x for −y in 3x − 2y = 10 gives 5x = 10, or x = 2. Te value of y can then
be found in the same way as before.
Choices A, C, and D are incorrect because when the given values of x and
y are substituted into x + y = 0 and 3x − 2y = 10, either one or both of the
equations are not true. Tese answers may result from sign errors or other
computational errors.
QUESTION 3.
Choice A is correct. Te price of the job, in dollars, is calculated using
the expression 60 + 12nh, where 60 is a fxed price and 12nh depends on the
number of landscapers, n, working the job and the number of hours, h, the job
takes those n landscapers. Since nh is the total number of hours of work done
when n landscapers work h hours, the cost of the job increases by $12 for each
hour a landscaper works. Terefore, of the choices given, the best interpretation
of the number 12 is that the company charges $12 per hour for each landscaper.
Choice B is incorrect because the number of landscapers that will work each
job is represented by n in the equation, not by the number 12. Choice C is
incorrect because the price of the job increases by 12n dollars each hour,
which will not be equal to 12 dollars unless n = 1. Choice D is incorrect
because the total number of hours each landscaper works is equal to h. Te
number of hours each landscaper works in a day is not provided.
QUESTION 4.
Choice A is correct. If a polynomial expression is in the form (x)2
+ 2(x)(y) +
(y)2
, then it is equivalent to (x + y)2
. Because 9a4
+ 12a2
b2
+ 4b4
= (3a2
)2
+
2(3a2
)(2b2
) + (2b2
)2
, it can be rewritten as (3a2
+ 2b2
)2
.
Choice B is incorrect. Te expression (3a + 2b)4
is equivalent to the product
(3a + 2b)(3a + 2b)(3a + 2b)(3a + 2b). Tis product will contain the term
4(3a)3
(2b) = 216a3
b. However, the given polynomial, 9a4
+ 12a2
b2
+ 4b4
,
does not contain the term 216a3
b. Terefore, 9a4
+ 12a2
b2
+ 4b4 ≠ (3a + 2b)4
.
Choice C is incorrect. Te expression (9a2
+ 4b2
)2
is equivalent to the
product (9a2
+ 4b2
)(9a2
+ 4b2
). Tis product will contain the term (9a2
)
(9a2
Answer:
that looks hard
Step-by-step explanation:
b
find the linear function from the table
3 3/5 divided by 18/25
5.2sin20xsin?o=....
Answer:
the answer is 0
Step-by-step explanation:
I hope this answer is correct
True or false? You can rely solely upon induction to prove that your conclusion is correct
Answer:
false
Step-by-step explanation:
Answer:
false you will need more info
Step-by-step explanation:
Subtract x2 - 2x - 6 from - 6x + 5
How do you evaluate a function.
Answer:
to evaluate a function, substitute the input
Step-by-step explanation:
(the given number or expression) for the function variable (place holder, x) replace the x with the number or expression. 1. given function f (x)=3x -5 finf (f) 4.
7/8 divided by 2/3 in simplest form
Answer:
21/16
Step-by-step explanation:
Question 13
Find the value of x.
write each number in standard form and word form
11. 654 thousand, 321
12. five six point nine nine
11. 654,321
12. 56.99
Answer:
11. Standard form: 654,321
12. Standard form: 56.99
Word Form:
11. Six hundred fifty four thousand, three hundred twenty one
12. Fifty six point ninety nine
I hope this helps!
If you want to graph the relationship to compare the unit prices, what should the x- axis and the y-axis represent
Answer:
it represents the following
read in my explanation
Step-by-step explanation:
A bar chart is a graph with rectangular bars. The graph usually compares different categories. Although the graphs can be plotted vertically (bars standing up) or horizontally (bars laying flat from left to right), the most usual type of bar graph is vertical.
The horizontal (x) axis represents the categories; The vertical (y) axis represents a value for those categories. In the graph below, the values are percentages.
Answer:
The unit price in this situation is the approximate cost per pound of clementines. So, the x-axis should represent the number of pounds. The y-axis should represent the cost.
Step-by-step explanation:
Plato correct answer word for word
Find the area of the shape
Darryl earns $10 per hour tutoring students. if Darryl tutored for 25 hours this month, how much money did he earn this month
Answer:
danny makes 250 per month
Step-by-step explanation:
Answer:
Darryl earned $250.00 in a month.
Step-by-step explanation:
what is the answer??
Answer: x = -3 + √3 or x = -3 - √3
Step-by-step explanation:
X²+6x+6
now breaking 6x into 2x and 3x we get ,
X²+3x+2x+6
taking x common and 2 common we get ,
x(x+3)+2(x+3)
taking (x+3) common
(x+3) (x+2)
so comparing with zero to get values of x ,
either
x+3=0
x=-3
or x+2=0
x=-2
10x-2x in fewer terms
Answer:
Step-by-step explanations:
10x - 2x
8x
10x - 2x in fewer terms is 8x.
What is Subtraction?Subtraction can be done for any numbers or algebraic expressions. It is the process of taking out certain value from a given amount of number.
The process of subtraction can also be termed as finding difference.
Given is an expression 10x - 2x.
We have to find the difference of these two expressions.
We can add or subtract only the like terms.
Like terms are terms which consist of same kind of variables.
Here 10x and 2x have same variable x.
So they can be subtracted.
10x - 2x = x(10 - 2) = 8x
Hence the difference of 10x and 2x is 8x.
To learn more about Subtraction, click on the link given below :
https://brainly.com/question/1927340
#SPJ3
A car company can make 200 cars per day. How many weeks will it take to
make 5,600 cars?
Answer:
4 weeks
Step-by-step explanation:
5,600/200 = 28
28/7 = 4
Answer:
4 weeks
Step-by-step explanation:
200x7=1400
5600/1400=4
[tex]74 \times 54 + 7 \div 20[/tex]
slove this?
please help me quickly the question is on the image
pleaSe i need help brainlist if u get it right
Answer:
62.6
Step-by-step explanation:
After 2 hours the Red Cross raises $250 and after 6 hours it raised a total of $785. What's the average rate of change in terms of dollars per
hour?
Answer:
After 2 hours the Red Cross raises $250 and after 6 hours it raised a total of $785. What's the average rate of change in terms of dollars per hour? Add answer. Log in to add ... If we start with 5 cells, and each cell divides in two every 15 minutes, how many total after 1 hour? if you what 3x +2/w is than you ...
Step-by-step explanation:
f(x)=-x^2+3 pls help
Answer:
answer = -1
.-(-2)^2 +3 = -4 +3 = -1
Which ordered pair is an solution of the equation? Y+5=2(x+1)
Answer:
only -1,-5
got it from khan academy
Write an algebraic expression for the word expression.
the sum of 3 and a number x
The expression is .
Answer:
3 + x
Step-by-step explanation:
Sum means to add, so you would just add 3 and x (since they haven't given an actual number and only a variable).
The sum of the number 3 and the variable x will be (x + 3).
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
In the linear expression, the degree of the variable is one.
The sum of 3 and a number x.
Then the expression will be
⇒ 3 + x
The number 3 is a constant number and the term x is a variable.
The expression (x + 3) is a linear expression because the degree of the expression is one.
The number of the variable is one, then the expression is linear expression of one variable.
Thus, the sum of the number 3 and the variable x will be (x + 3).
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Solve for x: u = k + yx
10 points
1. The retail price of an electric toothbrush is $40. What is the price after
a markdown of 30%?*
Answer:
The answer is 12
Step-by-step explanation: