Answer:
x ≤ 435
Step-by-step explanation:
Let the capacity of the theater be represented by x. The movie theater has a capacity of 435, which implies that it can hold nothing more than or maximum of 435 people. Thus the number of people for the theater could be less than 435, but not more than 435.
Expressing this with inequality, we have;
x ≤ 435
where x is the movie theater capacity.
put (your aunt’s age a minus 25) in a algebraic expression
Answer:
Step-by-step explanation:
28 - 25 = 3
Simplify:
-(7x-9)
PLEASE HELP ASAP
Answer:
-7x+9
Step-by-step explanation:
All you are doing is distributing the negative
The equation should now be -7x+9 ( a negative times a negative is always positive)
what expression is equivalent to 3/5x + 2/5 + 3/5x
Answer: 3/5x+2/5+3/5x= 1.6
A department store sells a pair of shoes with an 56.3% markup. If the store bought the pair of shoes for $43.75, what is the selling price to the nearest cent?
Answer:
The selling price for the shoes will be $68.35
Step-by-step explanation:
A music shop charges a deposit of $20, plus a monthly rate of $30 to rent an instrument. For how many months did Avi rent an instrument if he spent a total of $80?
Answer:A) 2 months
Step-by-step explanation:The base fee is $20.
The monthly rate is $30.
We can represent the number of months with the variable ‘x’.
The equation for this problem would look like this: 20+30x=80l
In words, it would be: base fee + monthly rate*x = $80
A music shop charges a deposit of $20, plus a monthly rate of $30 to rent an instrument. For how many months did Avi rent an instrument. For how many months did Avi rent an instrument if he spent a total of $80
A) 2 months
B) 3 months
C) 4 months
D) 5 months
PLEASE Help me...I'd really appreciate it
Matrices C and D are shown below C= 2 1 0 0 3 4 0 2 1 D= a b -0.4 0 -0.2 0.8 0 0.4 -0.6 what values of a and b will make the equation CD = l true?
The question is incomplete. Here is the complete question
Matrices C and D are shown below:
[tex]C=\left[\begin{array}{ccc}2&1&0\\0&3&4\\0&2&1\end{array}\right][/tex] [tex]D=\left[\begin{array}{ccc}a&b&-0.4\\0&-0.2&0.8\\0&0.4&-0.6\end{array}\right][/tex]
What values of a and b will make the equation CD = I true?
(i) a = 0.5
b = 0.1
(ii) a = 0.1
b = 0.5
(iii) a = -0.5
b = -0.1
Answer: (i) a = 0.5
b = 0.1
Step-by-step explanation: Identity Matrix (I) is a n x n square matrix with the number 1 on the main diagonal and 0 everywhere else.
The question asks for multiplication of matrices, i.e.:
[tex]\left[\begin{array}{ccc}2&1&0\\0&3&4\\0&2&1\end{array}\right][/tex] . [tex]\left[\begin{array}{ccc}a&b&-0.4\\0&-0.2&0.8\\0&0.4&-0.6\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right][/tex]
To multiply matrices, the number of columns of the 1st matrix must be the same as the number of rows of the 2nd.
Matrix C is a 3x3 square matrix and so is matrix D, so, values of a and b:
[tex]2a=1[/tex] [tex]2b-0.2=0[/tex]
[tex]a=\frac{1}{2}[/tex] [tex]2b=0.2[/tex]
a = 0.5 [tex]b=0.1[/tex]
For the equation CD=I be true, a and b has to be 0.5 and 0.1, respectively.
Expand and simplify ([tex]2x^{2}[/tex]+3)(4x+5)-8x([tex]x^{2}[/tex]-2)
Answer:
2x(5x + 14) + 15
Step-by-step explanation:
Given: (2[tex]x^{2}[/tex] + 3)(4x + 5) - 8x([tex]x^{2}[/tex] - 2)
(2[tex]x^{2}[/tex] + 3)(4x + 5) - 8x([tex]x^{2}[/tex] - 2) = 2[tex]x^{2}[/tex](4x + 5) + 3(4x + 5) - 8x([tex]x^{2}[/tex] - 2)
= (8[tex]x^{3}[/tex] + 10[tex]x^{2}[/tex] + 12x + 15) - 8[tex]x^{3}[/tex] + 16x
= 8[tex]x^{3}[/tex] + 10[tex]x^{2}[/tex] + 12x + 15 - 8[tex]x^{3}[/tex] + 16x
collecting like terms to have,
8[tex]x^{3}[/tex]- 8[tex]x^{3}[/tex] + 10[tex]x^{2}[/tex] + 12x + 16x + 15
10[tex]x^{2}[/tex] + 28x + 15
Thus,
(2[tex]x^{2}[/tex] + 3)(4x + 5) - 8x([tex]x^{2}[/tex] - 2) = 10[tex]x^{2}[/tex] + 28x + 15
= 2x(5x + 14) + 15
One lap around a track is ½ mile. It takes Bryan ⅛ hour to ride one lap. What is Bryan’s mile per hour?
Answer:
4 miles per hour
Step-by-step explanation:
Total miles = 1/2
Time taken = 1/8
Miles per hour = 1/2 ÷ 1/8
= 1/2 × 8/1
= 8/2
= 4 miles per hour
Bryan’s mile per hour = 4
4 miles per hour
Please help with math! I'm getting pretty confused about solving each system of equations by graphing. Any answers to this?
y = x + 3 , y = 4x - 3
Answer: x= 2, y= 5
Step-by-step explanation:
Are these triangles similar?
Answer:
Not similar, one has 4 sides
Step-by-step explanation:
An accountant earns 6% simple interest. You want to find the interest earned on $200 after 8 months.
Answer:
The interest is $12
Step-by-step explanation:
You just put the percent in a decimal form(6%-0.06)Then you multiply 200 with 0.06. And the answer you get is the interest
Hope that helps :)
A student says that the equation y = 4x + 2 can be written in standard form as 4x − y = 2. Is the student correct?
Answer: I think so
Step-by-step explanation:
You drive a car that runs on ethanol and gas. You have a 20 gallon tank to fill and you can buy fuel that is either 25% or 85% ethanol. How much of each fuel should you buy to have 50% ethanol in the tank? Will give brainliest!!!!!!!!!!!!!!!!!!
Answer:
11.67 gallons of 25% and 8.33 gallons of 85%Step-by-step explanation:
Let the volume of 25% ethanol be x, then volume of 85% ethanol will be (20 - x)
The ethanol content is:
0.25x + 0.85(20 - x) = 20*0.50.25x + 17 - 0.85x = 10-0.6x = 10 - 17-0.6x = -7x = 7/0.6x = 11.6711.67 gallons of 25% ethanol and
20 - 11.67 = 8.33 gallons of 85% ethanol
PLEASE HURRY THIS IS TIMED
Answer:
Plot a point on (0,1). Then count upwards by 9, and over to the right by 1. Then you're done!
Step-by-step explanation:
Hope this helps! <3
Simplify. 32 + 1 x 2 (1).8 (2).20 (3).14 (4).11
Answer:
31.11
Step-by-step explanation:
simplify the expression
what is the unit rate if 12 inches of snow in 3 hours?
Answer:
4 inches of snow has fallen rate per hour
therefore the unit rate is 4 inches of snow per hr.
Step-by-step explanation:
Answer:
4 per hour
Step-by-step explanation:
because 12 divided by 3 is 4
An angle measures 10° less than the measure of its complementary angle. What is the measure of each angle?
Answer:
50º & 40º
Step-by-step explanation:
complementary anlges add up to 90º. so, we can make an equation:
x+x-10=90
2x=100
x=50
so the angles are 50º and 40º.
Need this ASAP please...
Answer:
I think x might be 2 i don't know...
Step-by-step explanation:
John is buying toy cars. If each car is 0.35 cents, how many cars can John buy with 1,000 dollars?
Answer:
He can buy 2857 cars.
Step-by-step explanation:
In order to find the amount he can buy, you need to divide 1,000/.35. This equals 2857.14 but because you cannot buy .14 of a toy car, you round down to 2857 which is the end answer. Hope this helps :)
Answer: 2857 cars
Step-by-step explanation:
PLEASE HELP !?
The chess club at a school has 15 members. The number of games won in tournament play this season by each member is listed. What measure of center is most appropriate to use to describe a typical value for the data in this distribution? Explain your reasoning.
Median
Step-by-step explanation:
Options:
• Line A
• Line B
• Line C
• Line D
I’ll give you brainlest!!
Answer:
line D
Step-by-step explanation:
An undefined slope is when the "run" of a line is zero, the line will be vertical. I hope this helps
Please SHOW WORK I need help
x⁶
look at the picture
l hope that's help you
y=x+3
y=x-3
Solve these equations
Answer:
what is x?
Step-by-step explanation:
Answer:
No solutions
Step-by-step explanation:
Which graph represents a function with direct variation
Answer:
WHere are the graphs
Step-by-step explanation:
:)
A forest covers 68.000 acres. A survey finds that 0.6% of the forest is old-growth trees. How many acres of old-growth trees are there?
Answer:
68.000 acres x 0.6% = 408 acres
Step-by-step explanation:
I neeeeeeddddd helppppppppppppppp
is this right?
Answer:
no the answer is 7.....
Answer:7
Step-by-step explanation:
27 divided by 3 is 9.
so
21 divided by 3 will give u the answer which is 7.
Solve the system of equations below by elimination.
(Show your work)
x+2y=−4
x+y=2
Tomic and Brooke make a game of shooting free throws. Each basket is worth 2 1/2 points. Each miss is worth −3/4 points. Out of 30 free throws, they make 16 baskets. What is the correct number of points that Tomic and Brooke scored?
Answer:
I did this on a test and got 29.5 points
Step-by-step explanation:
Make t the subject of the formula.
u = v+ 2t
9514 1404 393
Answer:
t = (u -v)/2
Step-by-step explanation:
Observe what is done to t:
multiplied by 2v added to the productUndo these operations, starting with the last one and working up the list.
[tex]u = v+2t \qquad\text{given}\\\\u-v=2t \qquad\text{undo addition by subtracting $v$}\\\\\dfrac{u-v}{2}=t \qquad\text{undo multiplication by dividing by 2}\\\\\boxed{t=\dfrac{u-v}{2}}[/tex]
Answer:
[tex]u = v + 2t \\ u - v = 2t \\ t = \frac{(u - v)}{2} [/tex]
t=(u-v)/2 is the right answer.