Answer:
294384
Step-by-step explanation:
Answer:
294384
Step-by-step explanation:
24532x12=294384
You buy 4.5 pounds of bananas at $0.49 a pound. You hand the cashier a $20 bill. How much change will you get back
Answer:
You get 17.80 cents back
Step-by-step explanation:
4.5 times 0.49 is 2.20 cents
20 minus 2.20 is 17.80 dollars
7/8 divided by 2/3 in simplest form
Answer:
21/16
Step-by-step explanation:
Subtract x2 - 2x - 6 from - 6x + 5
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 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]
1. If f(x) = 6x2 and h(x) = 3x, then (f/h)(x)
A2
B2x
C2x2
Find the area of the shape
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
Jane decided she would spend the
of her money on Sweet Tarts. About how
many pounds of Sweet Tarts did Jane
purchase?
. Between the gum balls, Pixie Sticks, and
that she would spend the rest
Sour Patch Kids, how much money will
Nicholas have left of his allowance?
Answer:
can you comment the real question because this is just gibrish
Step-by-step explanation:
5.2sin20xsin?o=....
Answer:
the answer is 0
Step-by-step explanation:
I hope this answer is correct
pleaSe i need help brainlist if u get it right
Answer:
62.6
Step-by-step explanation:
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.
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:
Question 13
Find the value of x.
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:
Elena goes for a long walk. This graph shows her time and distance traveled throughout the walk.
What was her fastest speed, in miles per hour?
Do not include units (miles per hour) in your answer.
Answer:
Actually it is 4 mph.
Step-by-step explanation:
I know because I had it on a test I just took.
Her fastest speed was 4 miles per hour.
Given that,
Elena goes for a long walk.
This graph shows her time and distance traveled throughout the walk.
We have to find,
What was her fastest speed, in miles per hour?
According to the question,
The graph shows the time and distance traveled throughout the walk.
The distance traveled in every hour is given as follows.
In the given graph at the first point, the distance traveled in 1 hour is 3 miles.At the second point, the distance traveled in 1.5 hours is 0 miles.At the third point, the distance traveled in 2 hours is 5 miles.At the fourth point, the distance traveled in 3 hours is 7 miles.At the fifth point, the distance traveled in 4 hours is 9 miles.Therefore, Her fastest speed was 4 miles per hour.
For more details refer to the link given below.
https://brainly.com/question/24684377
[tex]74 \times 54 + 7 \div 20[/tex]
slove this?
Which sentence contains a word that is misspelled because a silent letter has been left out?
A
She completely forgot the chords to the song.
B
Courtesy costs nothing, but it pays off in huge dividends.
C
Since rent prices in the city were higher than most morgages, she tried to buy a house.
D
Between traffic jams and a lack of nearby parking, we arrived very late to the comic convention downtown.
Answer:
C
Step-by-step explanation:
Morgages is spelled mortgages
Questions in the photo. Please HELP!
Answer:
Step-by-step explanation: its a
Answer:
No,
No
because every line has to equal 180. (for both of them)
The price of stock market in at 9 AM was 13.17 then the price has been increasing at a rate of 0.11 each hour at noon the price of stuff he was 13.67 it begins to decrease at the rate of 0.12 each hour if the two rates continue and how many hours were the prices of the two stocks with the same
Answer:
2.26 hours
Step-by-step explanation:
Given that:
Stock 1:
Initial price = 13.17
Rate of increase = $0.11 per hour
13.17 + 0.11h - - - (1)
Stock 2 :
Initial price = 13.69
Rate of decrease = 0.12 per hour
13.69 - 0.12h - - (2)
13.17 + 0.11h = 13.69 - 0.12h
0.11h + 0.12h = 13.69 - 13.17
0.23h = 0.52
h = 0.52 / 0.13
h = 2.26 hours
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
please help me quickly the question is on the image
HHHHHHEEEEEEEEELLLLLLLLLPPPPPP
Answer:8 over 4
Step-by-step explanation:
Rise over run
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
f(x)=-x^2+3 pls help
Answer:
answer = -1
.-(-2)^2 +3 = -4 +3 = -1
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
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!
Solve for a in the proportion.
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
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