Answer:
12
Step-by-step explanation:
√(9×16) =√9×√16 = 3 ×4 = 12
Alina spent no more than $45 on gas for a road trip. The first gas station she used charged $3.50 per gallon and the second gas station charged $4.00 per gallon. Which inequality relates the number of gallons of gas she bought at the first station, x, the number of gallons of gas she bought at the second station, y, and the total amount she paid? What are the possible values of y?
Answer: 3.50x + 4.00y ≤ 45
0 < y < 11.25
Step-by-step explanation:
[tex]3.50x + 4.00y \leq 45\\\\\\\text{Subtract 3.50x from both sides:}\\4.00y\leq -3.50x+45\\\\\\\text{Divide everything by 4.00 (to isolate y):}\\\dfrac{4.00y}{4.00}\leq \dfrac{-3.50x}{4.00}+\dfrac{45}{4.00}\\\\\\y\leq-0.875x+11.25\\\\\\\text{Both x and y must be greater than zero, so:}\\0<y<11.25[/tex]
Two parallel lines are crossed by a transversal.What is the value of m?
Same side interior angles are supplementary, which means together they add up to 180 degrees.
In order to find the value of angle m, subtract 180 from the supplement.
180 - 78 = 102
The value of m is 102 degrees
Answer:
C.m=102
Step-by-step explanation:
The two angles are alternate interior angle, those angles add up to 180, 180-78=102. The answer is c
Choose the simplified form of the fifth term of 6C4(2x)2(-y2)4.
You didn't give us the choices. It doesn't matter. I think you're trying to write
[tex]\displaystyle {6 \choose 4} (2x)^2 (-y^2)^4 [/tex]
[tex] = \dfrac{6!}{4! 2!} ( 4x^2 y^8)[/tex]
[tex] = \dfrac{6(5)}{2} ( 4x^2 y^8)[/tex]
[tex] =60x^2 y^8[/tex]
Answer: 60 x² y⁸
An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression ⁶C₄ (2x)² (-y²)⁴ is 60x²y⁸.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The expression can be simplified as,
⁶C₄ (2x)² (-y²)⁴
The value of the combination can be written as,
= [6!/4!(6-4)!] (2x)² (-y²)⁴
= 15 (4x²) (-y²)⁴
The value of y can be written as,
= 15 (4x²) y⁸
= 60 x²y⁸
Hence, the value of the expression ⁶C₄ (2x)² (-y²)⁴ is 60x²y⁸.
Learn more about Expression:
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To win a game you need at least 45 points.Each question is worth 3 points.Write and solve an inequality that represents the number of questions you need to answer correctly to win the game.
plz help which expression is equivalent to 4-2/2^-3
8
16
-8
-16
Answer:
The answer is 16.
Step-by-step explanation:
In this expression 4-2/2^-3, first of all we will solve the numerator.
Subtract 4 and 2
4-2= 2
So, the expression will become 2/2^-3
Now notice that the numerator has the base 2 and exponent 1 where as the denominator has the base 2 and exponent -3. Both the numerator and denominator have the same base
So we will use the property a^m/a^n=a^m-n.
=2/2^-3
=2^1-(-3)
=2^1+3
=2^4
2^4 means that 2 will be multiplied 4 times.
=2*2*2*2
=16
Thus the answer is 16....
Distance from origin
Answer:
Maybe 13
Step-by-step explanation:
Im not sure from the answer
Answer:
B
Step-by-step explanation:
Use the distance formula, that is
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = A(- 3, - 2) and (x₂, y₂ ) = (0, 0)
d = [tex]\sqrt{(0+3)^2+(0+2)^2}[/tex]
= [tex]\sqrt{3^2+2^2}[/tex] = [tex]\sqrt{9+4}[/tex] = [tex]\sqrt{13}[/tex]
please can someone answer this quickly. 50 points!!
Answer:
Step-by-step explanation:
Distribute...
6x^2-3x-6x+3
6x^2-9x+3 is the expanded equation
The solution....
(3x-3)=0
(2x-1)=0
3x=3
2x=1
x=1
x=1/2
What is the gcf of 45 and 9?
Answer:
9
Step-by-step explanation:
The factors of 9 are: 1, 3, 9
The factors of 45 are: 1, 3, 5, 9, 15, 45
Then the greatest common factor is 9.
The GCF of 45 and 9 is 9.
To find the greatest common factor we need to prime factorize 9 and 45 and then find the product of the factors common between the two. This can be represented mathematically as follows:
[tex]45 = 3 \times 3 \times 5\\9 = 3 \times 3[/tex]
Thus we can see that two pair of 3 are common factors between 9 and 45. Thus the GCF [tex]= 3 \times 3 = 9[/tex]
Therefore, the GCF of 45 and 9 is 9.
Myles is tracking the growth of his palm tree. It was 62 inches when he bought it, and it has grown 6 inches per year.
What does the initial value represent?
Answer:
The height the tree was when brought
input value: 0
Output value: 62
Step-by-step explanation:
The initial value represents the height, the tree was when bought.
Given that,
Myles is tracking the growth of his palm tree. It was 62 inches when he bought it, and it has grown 6 inches per year.Based on this, we can say that the initial value defines the height basically the tree at the time of purchased.
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How many dinner specials are possible?
HELP PLEASEEEEEE!!!!!!!!!!!!!!!!!!!!
[tex]3\cdot3\cdot4\cdot4=144[/tex]
A company's forecasted
sales are $300,000 and
its sales at break-even
are $180,000. Its margin
of safety % is:
Answer:
$120,000
Step-by-step explanation:
It's easy ,
all you got to do is just minus $300,000 from $180,000 so it'll be :
$300,000 − $180,000 = $120,000
$120,000 Will be your answer !
Answer:
$120,000
It's easy ,
all you got to do is just minus $300,000 from $180,000 so it'll be :
$300,000 − $180,000 = $120,000
$120,000 Will be your answer !
Step-by-step explanation:
What is 7-(a-b)-4+(3a-2b)
Answer:
[tex]\boxed{2a+3-b}[/tex]
Step-by-step explanation:
Distributive property:
↓
A(B+C)=AB+AC
Remove parenthesis first.
7-(a-b)-4+3a-2b
(-a-b)=-a+b
7-a+b-4+3a-2b
Simplify, to find the answer.
7-a+b-4+3a-2b
Group like terms:
↓
-a+3a+b-2b+7-4
Add numbers from left to right.
-a+3a=2a
2a+b-2b+7-4
b-2b=-b
2a-b+7-4
Adding and subtracting numbers from left to right.
7-4=3
2a+3-b
[tex]2a+3-b[/tex], which is our answer.
Answer:
3 +2a -b
Step-by-step explanation:
7-(a-b)-4+(3a-2b)
Distribute the minus
7 -a +b -4 +3a-2b
Combine like terms
7-4 -a +3a +b-2b
3 +2a -b
select the correct product. (2x+9)(x+1)
How long would it take to travel 315 mi at the rate of 45 mi/h ?
O
7 h
O 270 h.
360 h
14.175 h
It would take 7 hours.
If you are going at 45 miles per hour, you need to find out how much 45 goes into 315.
To deduce this, divide 315 by 45.
315/45=7
It would take 7 hours.
Hope this helps!
Answer:
7 hours
Step-by-step explanation:
Write it out like a ratio X/315 = 1/45
Let X be hours
Cross multiply 315 x 1
and 45 x X -------> this gives you 315 = 45X
Then simply divide both sides by 45 and you get 7 hours
Veronique found the difference of a number and 8.
Which expression models the situation?
n-8 8/n 8-n
Answer:
n-8
Step-by-step explanation:
Let
n ----> the number
we know that
To find the difference of a number and 8, subtract 8 from the number
so
n-8
When you multiply a function by -1, what is the effect on its graph?
Answer:
The correct answer is C.
Step-by-step explanation:
When you multiply a real function by -1 you only change its sign in all the domain of definition. The positive part becomes negative, and the negative values becomes positive and the zeros are unaltered. So, it is no difficult to see that the multiplication by -1 is equivalent to make a reflection with respect to the x - axis.
For f(x)=5x−x2 , use the definition of a derivative to find f′(x)
[tex]\bf f(x)=5x-x^2\qquad \qquad \lim\limits_{h\to 0}~\cfrac{f(x+h)-f(x)}{h} \\\\[-0.35em] ~\dotfill\\\\ \lim\limits_{h\to 0}~\cfrac{[5(x+h)-(x+h)^2]~~-~~[5x-x^2]}{h} \\\\\\ \lim\limits_{h\to 0}~\cfrac{[5x+5h-(x^2+2xh+h^2)]~~-~~5x+x^2}{h}[/tex]
[tex]\bf \lim\limits_{h\to 0}~\cfrac{\begin{matrix} 5x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}+5h~~\begin{matrix} -x^2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}-2xh-h^2~~-~~\begin{matrix} 5x +x^2\\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}{h}\implies \lim\limits_{h\to 0}~\cfrac{5h-2xh-h^2}{h}[/tex]
[tex]\bf \lim\limits_{h\to 0}~\cfrac{\begin{matrix} h \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix} ~~(5-2x-h)}{\begin{matrix} h \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix} }\implies \lim\limits_{h\to 0}~5-2x-0\implies \lim\limits_{h\to 0}~5-2x[/tex]
what is the complete factor of 12Xsquared + 28X
Answer:
12x^2 + 28x = 0
3x^2 + 7x = 0
x(3x+7)=0
x=0 or
3x+7=0
3x= - 7
x= - 7/3
Answer:
4x(3x + 7)
Step-by-step explanation:
Given
12x² + 28x ← factor out 4x from each term
= 4x(3x + 7) ← in factored form
What is an expression for the amount of money you can save if you use 5/6 Of your wages for spending money?
Evaluate your expression for weekly wages of $60, $120 , $180 and $300.
Answer:
Step-by-step explanation:
If you spend 5/6 of your wages, you'll have 1/6 of your wages left, hopefully to be placed into your savings account.
If your wages are $60, you'd have 1/6 of that, or $10, left.
$120, $20.
$180, $30
$300, $50
If f(x) = 27 +3 and g(x) = x - 7, find (f - g)(x).
Answer:
(f - g)(x) = 37 - x
Step-by-step explanation:
(f - g)(x) = (27 +3) - (x - 7)
= 27 + 3 - x + 7
= 37 - x
Answer:
(f - g)(x) = 26x + 10Step-by-step explanation:
(f - g)(x) = f(x) - g(x)
We have f(x) = 27x + 3 and g(x) = x - 7. Substitute:
(f - g)(x) = (27x + 3) - (x - 7)
(f - g)(x) = 27x + 3 - x - (-7)
(f - g)(x) = 27x + 3 - x + 7 combine like terms
(f - g)(x) = (27x - x) + (3 + 7)
(f - g)(x) = 26x + 10
Which lines are parallel if m 3 = m 6?
Justify your answer.
Answer:
[tex]r \parallel s[/tex] by the Converse of the Alternate Interiors Angles Theorem.
Step-by-step explanation:
Remember that two lines are parallel if their angle of direction is the same.
So, in this case we know that [tex]m\angle 3 = m\angle 6[/tex], where [tex]\angle 3[/tex] is the direction of [tex]r[/tex] and [tex]\angle 6[/tex] is the direction of [tex]s[/tex].
Therefore, [tex]r \parallel s[/tex] by the Converse of the Alternate Interior Angles Theorem, which states that if two lines are cut by a transversal and the alternate interior angles are congruent, then those lines are parallel.
Can the set of lengths be the side lengths of a right triangle?
7ft, 12ft, 17 ft
Answer:
No
Step-by-step explanation:
For a right triangle, a^2+b^2=c^2 EVERY time.
a and b are always smaller than c, so 7 and 12 are a and b, and 17 is c:
7^2+12^2 ?= 17^2
49+144 ?= 289
193 != 289
Therefore, these can't be the set of lengths for a right triangle
Answer:
These set of lengths cannot be the side lengths of a right angled triangle.
Step-by-step explanation:
Pythagoras Theorem is always followed by a right angled triangle. According to which the sum of squares of the two shorter legs is equal to the square of the longest leg.
[tex]a^2=b^2+c^2[/tex]
So here, 17 is the longest leg and 7 and 12 the shorter ones.
Applying Pythagoras Theorem to these lengths to find out.
[tex]17^2=7^2+12^2[/tex]
[tex]289\neq 193[/tex]
Therefore, these set of lengths cannot be the side lengths of a right angled triangle.
Drag each set of side lengths to show whether they can or cannot make a triangle, or if there is not enough information to tell.
A. 4cm, 6cm, 10cm
B. 2cm, 3cm, 10cm
C. 1cm, 1cm, 12cm
D. 5cm, 8cm, 10cm
E. 7cm, 7cm, 12cm
F. 6cm, 6cm, 12cm
Answer:
D and E
Step-by-step explanation:
because the rule to make triangle is
a<b+c with a, b and c is the side of the triangle
Answer:
Step-by-step explanation:
I just did it nothing to explain :D
Task 1 a Real State company sells plots of land.The plot shown at the right cost $84,120. What is the price per square foot of the land?
Answer:
The price is $1.6 per square foot of the land
Step-by-step explanation:
step 1
Find the area of the plot of land
we know that
The area of the plot of land is equal to the area of trapezoid 1 plus the area of trapezoid 2
see the attached figure to better understand the problem
Remember that
The area of a trapezoid is equal to
[tex]A=\frac{1}{2}[b1+b2]h[/tex]
Find the area of trapezoid 1
we have
[tex]b1=125\ ft[/tex]
[tex]b2=265\ ft[/tex]
[tex]h=260-150=110\ ft[/tex]
substitute
[tex]A1=\frac{1}{2}[125+265](110)[/tex]
[tex]A1=21,450\ ft^{2}[/tex]
Find the area of trapezoid 2
we have
[tex]b1=150\ ft[/tex]
[tex]b2=265\ ft[/tex]
[tex]h=150\ ft[/tex]
substitute
[tex]A2=\frac{1}{2}[150+265](150)[/tex]
[tex]A2=31,125\ ft^{2}[/tex]
The area total of the land is
[tex]A=A1+A2[/tex]
[tex]A=21,450+31,125=52,575\ ft^{2}[/tex]
step 2
Find the price per square foot of the land
Divide the total cost by the total area
[tex]\frac{84,120}{52,575}=1.6\frac{\$}{ft^{2}}[/tex]
Please help! Will mark brainliest, thank, and rate to the best answer!This is easy math!ASAP!
_____________________________________________
This week, 300 tickets were sold to the school play. This is 120 percent of the number of tickets sold last week. How many tickets were sold last week for the school play?
_________ tickets sold
Answer:
250 tickets
Step-by-step explanation:
This week, the tickets sold was 300.
The # of tickets sold this week was 120% of last weeks ticket sales.
To find out the number of tickets sold last week, first convert 120% into a decimal.
120% = 1.2
Now, divide 300 [tickets sold this week] by 1.2.
If you do this, you get 250.
That means 250 tickets were sold last week.
To double check our answer, break down 120% again, but this time, differently.
100% + 20% = 120%
100% = 1
20% = 0.2
Now, multiply 250 by 1.
250 x 1 = 250.
Now multiply 250 by 0.2
250 x 0.2 = 50.
250 + 50 = 300
So, the amount of tickets sold last week is 250. I hope this helps! :)
Which is the graph of x ≤ 2? Graph of a dashed vertical line 2 units to the right of the origin with everything shaded to the right. Graph of a solid vertical line 2 units to the right of the origin with everything shaded to the right. Graph of a dashed vertical line 2 units to the right of the origin with everything shaded to the left. Graph of a solid vertical line 2 units to the right of the origin with everything shaded to the left.
Answer:
Graph of a solid vertical line 2 units to the right of the origin with everything shaded to the left.
Step-by-step explanation:
The solid line shows it is greater than or equal to. Shade to left of vertical line if less than and right of it if greater than.
Answer:
A graph of a solid vertical line 2 units to the right of the origin with everything shaded to the right.
Step-by-step explanation:
The inequality x≤ 2 means that for any coordinate picked to the left of the line x=2 including 2 satisfies the argument for x. The less than or equal to sign means the value of x is 2 or less.
If for example you pick (2,5) or even (-1,150), the x coordinate satisfies the inequality.
Which linear equal what is represented by the graph
Answer:
It is the third option.
Step-by-step explanation:
First, the shaded part is above the line, so there must be a y>, ruling out two of our options. so now, the slope of the line is the only missing item. Use the points (0,3) and (3,5). m=(y2-y1)/(x2-x1), so m = -2/-3, which simplifies to 2/3. Therefore, y>2/3x + 3 is your answer.
Hope this helps!
Extra credit question for math class...
3 men go to a hotel room for a night. The manager charged them $30, therefore they split the bill “$10” each.
The manager later realized that he made a mistake and the total should’ve been $25, not $30...
The manager tells the bell boy to return the $5 to the 3 men, but the bellboy cheats and pockets $2 and only returned $3...
now each guy did not pay $10... they each payed $9, because they each got $1 back.
Each guy payed $9 = $27
Plus $2 in bellboys pocket
Total is $29
Where is the missing dollar?
they paid 30, 10 + 10 + 10.
the manager refunded them 5, 30 - 5 = 25.
the bellboy took 2, gave them 3 only.
since the bellboy gave only 3 to friends, then they paid 10 + 10 +10 - 3 = 27, if we include the 2 the bellboy kept, then that makes it 27 - 2 = 25.
we're not adding the $2 kept by the bellboy, we're subtracting it from the $27.
what is the slope of the line (2,3) (1,-2)?
Answer: The slope is 5
Step-by-step explanation:
You can calculate the slope of the line with this fomula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Given the points (2,3) and (1,-2), you can identify that:
[tex]y_2=-2\\y_1=3\\x_2=1\\x_1=2[/tex]
Now, the final step is to substitute these values into the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex], getting that the slope of this line is:
[tex]m=\frac{-2-3}{1-2}[/tex]
[tex]m=\frac{-5}{-1}\\\\m=5[/tex]
Answer:
M = 5X
Step-by-step explanation:
use the slope of a line equation
[tex]m \: = \frac{y2 - y1}{x2 - x1} [/tex]
so plug in your x and y's
[tex] m = \frac{ - 2 - 3}{1 - 2} [/tex]
m = 5x
remember negative devided by negative is a positive. also dont forget to add your x at the end.
Challenge 1:
The sum of two numbers is 20, and the difference between their squares is 40. Find the numbers.
Challenge 2:
What is the number?
It is greater than 15 squared. It is not a multiple of 3 or 5, but a multiple of 4. It is less than 20
squared. It is not a multiple of 17. It is a square number.
11+9=20
(11)^2-(9)^2=40
121-81=40
40=40