Answer:
54
Step-by-step explanation:
multiply 9 and 7 which is 63. then multiply 63 by 150 which is 9,450. then multiply 25 and 7 which is 175. then divide 175 and 9,450. and the answer is 54. Yw!!
We need to write and solve an algebraic equation to find the final company's balance.
The answer is: The final balance is -$275.
Let's see how to get that.
First, we know that the company earns $150 per week for 9 weeks, then the total amount of money that the company earns in these 9 weeks is:
$150*9 = $1,350
Then the company losses $65 per week for 25 weeks, then the amount that the company losses is:
$65*25 = $1,625
The final balance will be the difference between what the company earned and what the company lost, then the final balance is:
balance = $1,350 - $1,625 = -$275
This means that the company's final balance is -$275.
If you want to learn more, you can read:
https://brainly.com/question/24770120
what type of number is 18.62?
that is a rational number.
What is the value of the expression below when x=8? 10x+5
4617 divided by 23 as a mixed number
Answer:
200 17/23
Step-by-step explanation:
Mathxway.....
HELP ASAP WILL MARK BRAINLY
Answer:
[tex]\frac{61}{99}[/tex]
Step-by-step explanation:
let x = 0.616161 (etc.)
make a second equation because you multiply by 100:
100x = 61.616161 (etc.)
subtract from each other
100x = 61.616161
x = 0.616161
you get
99x = 61
solve for x
[tex]\frac{61}{99}[/tex]
What are Two figures that are proportional in size
At the Last Chance Filling Station, gas costs $1.60 a gallon. Trevor paid $32.00 to fill his tank. How many gallons of gas did he buy? a. Write an algebraic equation that represents the scenario. b. Solve to find the solution.
I know it’s 32/1.60=20 gallons
But how do you write the algebraic expression?
Answer:
1.60x=32.00
Step-by-step explanation:
Since you do not how much gallons of gas he bought you would use the variable x.
Answer:
1.60x=32
Step-by-step explanation:
If f(x) = 4x +4, g(x) = – 2x2 - 4x + 5, and h(x)= - 8x2 + 7, find g(1).
Answer:
-1
Step-by-step explanation:
g(1) = -2*1^2 - 4*1 + 5
If a+b>a−b, which of the following must be true?
(A) a>b
(B) a=b
(C) a 0
(E) b > 0
Hi
a+b > a-b
<=> a+b-a = b > a-b-a=-b ** subtract a **
<=> b+b > 0 ** add b **
<=> 2b > 0 ** divide by 2 **
<=> b > 0
so (E) is the right answer
Thanks
Help quick
(7u2+21u)÷(u+3)
Answer: it should be 11.infinite 6
Step-by-step explanation:7x2=14+21=35
35/3 = 11.infinite 6
So basically 11.6
A hot air balloon was rising at a rate of 474 feet per minute (ft/min). convert this speed to meters per second (m/s).
4 gallons of chocolate milk how many bottles if 2 pints per bottle.
Answer:
there are 32 bottles needed
Step-by-step explanation:
Thanks
Question 11 of 17
What division equation does the model show ?
The linear parent function is always (increasing/decreasing).
Answer:
I'm pretty sure it's increasing
Step-by-step explanation:
because the linear parent function is x=y, no negative signs
Answer:
Increasing
Step-by-step explanation:
What is 6/20 of a dollar
BRAINLIEST IS RIGHT
Answer: 30 cents
Step-by-step explanation:
1/20 of a dollar is 5 cents
Then we multiply by the numerator (6) to get our answer....
5x6= 30
Hoped this helps! :)
James completed 18 math problems,This is 30% of the problems he has to do.How many math problems must he do?
Answer:
60
Step-by-step explanation:
percentage=18
rate=30%
base=_____
p/r=b
18/0.30=60
Answer:
60
Step-by-step explanation:
18=30%
6=10%
6x10=60
10x10=100%
(x - 3) - 2x + 6)=-5
Answer: x=8
Step-by-step explanation:
What is equivalent to (r^-7)^6
Every morning for the past 12 days Beth used 2/3 of a cup of milk on her cereal to determine how much milk she used in total she set up the equation 2/3x12
Answer:
8
Step-by-step explanation:
2/3*12=24/3=8
easy way:
2/3*12/1=24/3=8
A survey was conducted of students at a high school and at a college to determine students' favorite subjects. The results are shown on the table.
Answer:
Step-by-step explanation:
Answer:
The answer is 35%
Maggie's brother is 4 years younger than four times her age. The sum of their ages is 31.
How old is Maggie?
Plzzzzzz hellp
Pllllzzzz
Answer:
Maggie is 7 years old
Step-by-step explanation:
Attached is an image that explains the question. Hope this helps!
Final question, solve this equation and show work! Worth 20 points
Answer:
[tex]n=5/2[/tex]
Step-by-step explanation:
We have the equation:
[tex]5^{2n-2}=125[/tex]
Notice that 125 is the same as 5³. So:
[tex]5^{2n-2}=5^3[/tex]
Since they have the same base, the exponents must be equal. Therefore:
[tex]2n-2=3[/tex]
Solve for n. Add 2 to both sides:
[tex]2n=5[/tex]
Divide both sides by 2:
[tex]n=5/2=2.5[/tex]
So, the value of n is 5/2.
And we're done!
Answer:
N = 2.5
Step-by-step explanation:
Ok, so try this.
125 is 5^3, right?
And in this equation, we have 5 to the power of 2n-2 is equal to 125.
You need to make sure that the exponent ends up as 3.
How would you do this?
Try substituting N for 3.
That's too big.
Try Substituting N for 2.
That's a bit too small.
What number is in between 2 and 3?
2.5 is.
N = 2.5
Check your work, and see if you came up with the same answer
Work:
2.5 x 2 = 5
5 - 3 = 2
5^3 = 125
Help pleaseeee!!
-4x - 3x^2 + 6 - 9x^2
Answer:
The answer would be -12x^2-4x+6
Step-by-step explanation:
This is the simplest form it could get since you subtract the two x^2 together.
solve the equation by factoring. (z^2 - z - 6 = 0) a. z = –2 or z = 3 b. z = 2 or z = 3 c. z = –2 or z = –3 d. z = 2 or z = –3. (50 POINTS PLEASE HELP)
Answer: (z + 2)(z - 3)
Step-by-step explanation:
First, we have 1 as a coefficient on z², so we multiply that by -6, which gives us -6. Now we must find out what two numbers when multiplied, give us -6, and when added together, give us -1 (z's coefficient). Going through -6's factors, I got -3 and 2 since we need a negative one when they are added together. Now we can input our values:
(z - 3)(z + 2).
Double checking, we get the starting equation, which means our factorization was correct, and so is the solution.
Note: it does not matter which binomial comes first because you will get the same answer regardless of its position.
b. The 100th term of 60, 110, 160, ... is (Simplify your answer.) How to do this?
The 1st term is 60.
Add 50 to this to get the 2nd term, 60 + 50 = 110.
Add 50 to that to get the 3rd term, 110 + 50 = 160.
Add 50 to that to get the 4th term, 160 + 50 = 210.
And so on...
Notice that in the 2nd term, we added 1 copy of 50 to the 1st term.
In the 3rd, we ultimately added 2 copies of 50 to the 1st term.
In the 4th, we added 3 50s.
And so on... If the pattern continues, then the n-th term can be obtained by adding (n - 1) copies of 50 to the first term.
So, the 100th term is
60 + (100 - 1) * 50 = 5010
What is the cardinal number of the set C={0,5,−4,25,103,56}
Answer:
I wanna say its Hence n (Q) =7
I may be mistaken
Answer:
6
Step-by-step explanation:
The set is made up of 6 elements. Therefore, the cardinal number is 6.
A bag contains a collection of distinguishable marbles. The bag has three red marbles, five green ones, one lavender one, two yellows, and six orange marbles.
How many sets of four marbles include exactly two green marbles? (Note that this means there must be two other non-green marbles as well).
Answer:
The total number of sets is 2,640.
Step-by-step explanation:
The number of marbles in the bag are:
S = {3R, 5G, 1L, 2Y and 6O}
There are a total of N = 17 marbles in the bag.
Four marbles are randomly selected.
Assume that the selection was without replacement.
It is provided that two of the marbles are green.
And the remaining two are non-green.
A sample of the selection is as follows:
G, G, _, _
The two green marbles can be selected in 5 × 4 = 20 ways.
So, the remaining two marbles cannot be green.
That leaves us with: 3R, 1L, 2Y and 6O = 12 marbles.
The third marble can be selected in 12 ways.
And the fourth marble can be selected in 11 ways.
So the number of combinations of selecting 4 marbles such that 2 are green and 2 are non-green is:
Total number of sets = 5 × 4 × 12 × 11 = 2640
Thus, the total number of sets is 2,640.
250 people went to a “couples only” party at 9pm. 70 people left at 11pm, how many couples stayed at the party?
Answer:
80
Step-by-step explanation:
Sam takes a sheet of paper and cuts from one corner to the opposite
comer, making two triangles. If the length of the cut is 41 inches and
the paper is 22 inches long, what is the width of the sheet of paper
(nearest tenth)?
41 in
22 in
width
Answer:
The width is 34.6
Step-by-step explanation:
You have to assume that the cut is a straight cut.
Givens
c = 41
a = 22
b = ?
Formula
a^2 + b^2 = c^2
Solution
22^2 + b^2 = 41^2
484 + b^2 = 1681 Subtract 484 from both sides
484-484 + b^2 = 1681-484 Combine
b^2 = 1197 Take the square root of both sides.
sqrt(b^2) = sqrt(1197)
b = 3*sqrt(133)
b = 34.598
b = 34.6
Solve the following and explain your steps. Leave your answer in base-exponent form. (3^-2*4^-5*5^0)^-3*(4^-4/3^3)*3^3 please step by step!!!!
Answer:
[tex]\boxed{2^{\frac{802}{27}} \cdot 3^9}[/tex]
Step-by-step explanation:
I will try to give as many details as possible.
First of all, I just would like to say:
[tex]\text{Use } \LaTeX ![/tex]
Texting in Latex is much more clear and depending on the question, just writing down without it may be confusing or ambiguous. Be together with Latex! (*^U^)人(≧V≦*)/
[tex]$(3^{-2} \cdot 4^{-5} \cdot 5^0)^{-3} \cdot (4^{-\frac{4}{3^3} })\cdot 3^3$[/tex]
Note that
[tex]\boxed{a^{-b} = \dfrac{1}{a^b}, a\neq 0 }[/tex]
The denominator can't be 0 because it would be undefined.
So, we can solve the expression inside both parentheses.
[tex]\left(\dfrac{1}{3^2} \cdot \dfrac{1}{4^5} \cdot 5^0 \right)^{-3} \cdot \left(\dfrac{1}{4^{\frac{4}{3^3} } }\right)\cdot 3^3[/tex]
Also,
[tex]\boxed{a^{0} = 1, a\neq 0 }[/tex]
[tex]\left(\dfrac{1}{9} \cdot \dfrac{1}{1024} \cdot 1 \right)^{-3} \cdot \left(\dfrac{1}{4^{\frac{4}{27} } }\right)\cdot 27[/tex]
Note
[tex]\boxed{\dfrac{1}{a} \cdot \dfrac{1}{b}= \frac{1}{ab} , a, b \neq 0}[/tex]
[tex]\left(\dfrac{1}{9216} \right)^{-3} \cdot \left(\dfrac{1}{4^{\frac{4}{27} } }\right)\cdot 27[/tex]
[tex]\left(\dfrac{1}{9216} \right)^{-3} \cdot \left(\dfrac{27}{4^{\frac{4}{27} } }\right)[/tex]
[tex]\left( \dfrac{1}{\left(\dfrac{1}{9216}\right)^3} \right)\cdot \left(\dfrac{27}{4^{\frac{4}{9} } }\right)[/tex]
[tex]\left( \dfrac{1}{\left(\dfrac{1}{9216}\right)^3} \right)\cdot \left(\dfrac{27}{4^{\frac{4}{27} } }\right)[/tex]
Note
[tex]\boxed{\dfrac{1}{\dfrac{1}{a} } = a}[/tex]
[tex]9216^3\cdot \left(\dfrac{27}{4^{\frac{4}{9} } }\right)[/tex]
[tex]\left(\dfrac{ 9216^3\cdot 27}{4^{\frac{4}{27} } }\right)[/tex]
Once
[tex]9216=2^{10}\cdot 3^2 \implies 9216^3=2^{30}\cdot 3^6[/tex]
[tex]\boxed{(a \cdot b)^n=a^n \cdot b^n}[/tex]
And
[tex]$4^{\frac{4}{27}} = 2^{\frac{8}{27} $[/tex]
We have
[tex]\left(\dfrac{ 2^{30} \cdot 3^6\cdot 27}{2^{\frac{8}{27} } }\right)[/tex]
Also, once
[tex]\boxed{\dfrac{c^a}{c^b}=c^{a-b}}[/tex]
[tex]2^{30-\frac{8}{27}} \cdot 3^6\cdot 27[/tex]
As
[tex]30-\dfrac{8}{27} = \dfrac{30 \cdot 27}{27}-\dfrac{8}{27} =\dfrac{802}{27}[/tex]
[tex]2^{30-\frac{8}{27}} \cdot 3^6\cdot 27 = 2^{\frac{802}{27}} \cdot 3^6 \cdot 3^3[/tex]
[tex]2^{\frac{802}{27}} \cdot 3^9[/tex]
The reaction of the body to a dose of medicine can sometimes be represented by an equation of the formR = M^2 (C/2- M/3),where C is a positive constant and M is the amount of medicine absorbed in the blood. If the reaction is a change in blood pressure, R is measured in millimeters of mercury. If the reaction is a change in temperature, R is measured in degrees, and so on. Find dR/dM. This derivative, as a function of M, is called the sensitivity of the body to the medicine.
Answer:
The derivative is [tex]\frac{dR}{dM} = CM - M^2[/tex]
Step-by-step explanation:
From the question we are told that
The equation representing the reaction is [tex]R = M^2 (\frac{C}{2} - \frac{M}{3} )[/tex]
Generally this equation can be represented as
[tex]R = \frac{C M^2}{2} - \frac{M^3}{3}[/tex]
Generally [tex]\frac{dR}{dM}[/tex] as a function of M is mathematically represented as
[tex]\frac{dR}{dM} = 2 * \frac{C M^{2 - 1 }}{2} + 3 * \frac{M^{3-1}}{3}[/tex]
=> [tex]\frac{dR}{dM} = CM - M^2[/tex]