Answer:
36.36
Step-by-step explanation:
We can express 10% as a decimal by multiplying it by (1/100), resulting in 0.1. Therefore, adding 0.1 of the original price, or x, to the price will result in 40, so x+0.1*x=40
= 1.1x
Dividing both sides by 1.1, we get that x, or the original price, is $36.36 (approximately).
.. Jessie charges Jim $45.00 for 3 hours of tutoring. Mike charges Jim $90.00 for
5 hours of tutoring. Who offers Jim the better hourly rate of pay?
Answer:
jessie is better
Step-by-step explanation:
45/3=15
$15 per hour
90/5=18
$18 per hour
Answer:
the correct answer is jessie charges jim the better price
Step-by-step explanation:
Find the solution for 30 − 5n ≤ 25.
1 n ≤ -1
2 n ≤ -11
3 n ≥ -11
4 n ≥ 1
Answer:
n>=1
Step-by-step explanation:
30-5n<=25
5n<=30-25
5n<=5
n<=5/5
n<=1
n>=1
Paulo used the expression 7×(4+4) to solve 7×8. Does his method make sense? Explain
Answer:
Yes, because 4 + 4 = 8 so it is the same as 7 × 8.
Answer:
Yes.
Step-by-step explanation:
This is because if using PEMDAS, you will see that (4+4) = 8.
That would mean that 7x(4+4) =7x8, and that Paulo is correct.
Which situation CANNOT be represented by this equation?
4r +7= 31
Answer:
r=6
Step-by-step explanation:
4r+7=31
4r=31-7
4r=24
r=24/4
r=6
The slope is undefined and contains the point (-3,8)
If 1/2 is subtracted from four times the reciprocal of a number, the result is 0. Find the number.
Answer:Include
Step-by-step explanation:
Multiply add and subtract the top. I can include the rest if you want
Answer:
The required number is 8.
Step-by-step explanation:
Given : If [tex]\frac{1}{2}[/tex] is subtracted from four times the reciprocal of a number, the result is 0.
To Find : The number ?
Solution :
Let the number be x.
The reciprocal of number is [tex]\frac{1}{x}[/tex]
[tex]\frac{1}{2}[/tex] is subtracted from four times the reciprocal of a number, the result is 0.
The equation will become,
[tex]4\times \frac{1}{x} - \frac{1}{2}=0[/tex]
Solving the equation we get,
[tex]\frac{4}{x} -\frac{1}{2}=0[/tex]
[tex]\frac{4}{x} = \frac{1}{2}[/tex]
[tex]x= 4\times 2[/tex]
[tex]x=8[/tex]
Therefore, the required number is 8.
Write as a monomial in standard form (-xy^4b^2)^4
Answer:
[tex]\large\boxed{(-xy^4b^2)^4=x^4y^{16}b^8}[/tex]
Step-by-step explanation:
[tex](-xy^4b^2)^4\qquad\text{use}\ (ab)^n=a^nb^n\ \text{and}\ (a^n)^m=a^{nm}\\\\=(-1)^4(x)^4(y^4)^4(b^2)^4=1x^4y^{(4)(4)}b^{(2)(4)}=x^4y^{16}b^8[/tex]
[tex](-xy^{4} b^{2} )^{4}[/tex] can be written as x⁴y¹⁶b⁸.
What is simplification?Procedures must be made simpler in order to attain uniformity in efforts, expenses, and time. Variety and variation that is unnecessary, damaging, and unproductive are eliminated.
Given an equation [tex](-xy^{4} b^{2} )^{4}[/tex] in this, we need to find a monomial in standard form which can be optimized after putting the power back at every variable. hence,
[tex](-xy^{4} b^{2} )^{4}[/tex] = (-x)⁴(y⁴)⁴ (b²)⁴
= x⁴y¹⁶b⁸
Therefore, a monomial in the standard form [tex](-xy^{4} b^{2} )^{4}[/tex] is x⁴y¹⁶b⁸.
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the graph of which of the following will be perpendicular to the graph of 4x- 3y= -12
a. 4x+3y=12
b. y=-3/4x-8
c.y=3/4x+1
d. 3x-4y=1
Answer:
(b) y=-3/4x-8
Step-by-step explanation:
The graph that will be perpendicular to the graph 4x - 3y = -12
If this equation is represented in form of the straight line equation y = mx + b
it will change to 3y = 4x + 12
therefore y = (4/3)x + (12/3)
y = (4/3)x + 4
which implies that m = 4/3 while b = 4
However for the line that will be perpendicular to the graph, its slope m1 must be negative inverse of the slope of the initial graph
This is because m x m1 = -1
therefore m1 = -1/m
this implies that the correct answer must have a slope of -1/(4/3) = -3/4
The correct answer can then be analysed by expressing all options with y = mx + b
(a) In form of y = m1x + b, 4x+3y=12 becomes y = -4/3x + 4 (m1 = -4/3: wrong)
(b) In form of y = m1x + b, y=-3/4x-8 has m1 = -3/4 (correct)
(c) In form of y = m1x + b, y=3/4x+1 has m1 = 3/4 (wrong)
(d) In form of y = m1x + b, 3x-4y=1 becomes y = 3/4x - 1/4 (m1 = 3/4: wrong)
The cost of producing bicycles at a manufacturing facility is $38 per bicycle plus we
costs of running the facility each day.
What type of function should be used to model the cost of running the facility each day, and
why should this type of function be used?
Answer:
f(x)=38x+b
Linear Equation
Step-by-step explanation:
So I used slope intercept form it 38 per bicycle and plus the costs of running but we don't know the cost so it's shown as b, the reason I did not use Exponential because from reading the word problem it's not going to grow rapidly.
HELPPPPPP The scatter plot shows a regression line of advertising dollars spent and sales. If the company were to spend $350,000 on advertising, what would be the predicted sales? A) $105 million B) $110 million C) $115 million D) $120 million
Answer:
120 i think i don't know
Step-by-step explanation:
Answer:
D) $120 millionStep-by-step explanation:
The scatter plot is attached. There you can match the value assigned to $350,000.
Using a red line, we find that the answer is between 115 and 125, closer 125 than 115.
So, if you look all choices, there are two possibilities, C and D. However, $115 million can't be the right answer because our graphic approximation is closer to 125.
Therefore, the right answer is D) $120 million.
If the company were to spend $350,000 on advertising, the predicted sales would be $120 million.
this should be easy for someone who is smart
Answer:
Hope it helps :)
Step-by-step explanation:
Detailed answer in the attached file
I need help !
Write an equation in point slope form (-6,3) m= -1/5
Answer:
y-3=-1/5(x+6)
Step-by-step explanation:
[tex] {x}^{2} + {11}^{2} = {22 }^{2} [/tex]
Answer:
See image below.
I'm not 100% sure if this is allowed or not, someone please let me know if it is not.
Step-by-step explanation:
See image below
Answer:
± 11[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Given
x² + 11² = 22², that is
x² + 121 = 484 ( subtract 121 from both sides )
x² = 363 ( take the square root of both sides )
x = ± [tex]\sqrt{363}[/tex] = ± [tex]\sqrt{121(3)}[/tex] = ± 11[tex]\sqrt{3}[/tex]
The perimeter of a rectangle is 34cm.Find the breadth of the rectangle if its length is 12cm.
Ifc-8 is an odd integer, which of the following could be the value of c?
-8
0
-5
10
Let's try all of the possible answer choices.
Any result that is even, we cross off the list. Otherwise we have our answer.
If c = -8, then c-8 = -8-8 = -16 which is even. Cross this off the list
If c = 0, then c-8 = 0-8 = -8, which is even. Cross this off the list.
If c = -5, then c-8 = -5-8 = -13, which is odd. We have our answer
If c = 10, then c-8 = 10-8 = 2, which is even. Cross this off the list
=============================================
Final Answer: Choice C) -5HELP!
Jack drove 278.2 miles on 19.6 gallons of gasoline. About how many miles did he drive per gallon of gasoline?
(Round your answer to the nearest WHOLE amount of miles. Whole = ones place)
Answer:
[tex]14\ \frac{miles}{gallon}[/tex]
Step-by-step explanation:
we know that
To find out the unit rate (number of miles per gallon of gasoline) divide the total miles driven by the total gallons of gasoline used
so
[tex]\frac{278.2}{19.6}\ \frac{miles}{gallons}=14.19\ \frac{miles}{gallon}[/tex]
Round to the nearest WHOLE amount of miles
[tex]14.19\ \frac{miles}{gallon}=14\ \frac{miles}{gallon}[/tex]
Am i doing this right?
y = -4
Answer:
Step-by-step explanation:
no but you are very close
you forgot to put the x next to the -4
because if you left it like that than it would be a horizontal line going through the y-axis at -4
the x is very important since it is the input value while y is the output
so y depends on the x
Answer:
[tex]\displaystyle YES[/tex]
Step-by-step explanation:
The equation you modeled here is [tex]\displaystyle y = -4x,[/tex]where the y-intercept and x-intercept are both located at the origin. This is what is called direct variation.
I am joyous to assist you anytime.
*Just attach the x to the equation because leaving it out would form a horizontal line [zero rate of change (slope)].
es - Multiply the binomials (5x - 1) and (2x - 8).
A)
10x2 - 42x - 8
B)
10x2 - 42x + 8
o
10x2 + 38x - 8
D)
10x2 – 38x - 8
Answer:
Our final answer is option B that is [tex]10x^2-42x+8[/tex]
Step-by-step explanation:
As we have to multiply the binomial.
Here is the work.
Using distributive law of multiplication.
Where [tex]a(b+c)=ab+ac[/tex]
⇒[tex](5x-1)(2x-8)[/tex]
[tex]5x(2x-8)-1(2x-8)[/tex]
[tex]10x^2-40x-2x+8[/tex]... [tex](-1\times -8 =8)[/tex]
As [tex]-40x[/tex] and [tex]-2x[/tex] are in negative so we will add these
numbers keeping the negative sign as it is.
[tex]10x^2-42x+8[/tex]
So the correct choice is option B that is [tex]10x^2-42x+8[/tex]
6 - x = -12 A) -18 B) -6 C) 0 D) 18
Answer:
D
Step-by-step explanation:
6 - x = -12
subtract 6 from each side
6 - 6 - x = -12 - 6
-x = -18
divide each side by -1
-x / -1 = -18 / -1
x = 18
Answer:
The answer is D.) 18
Step-by-step explanation:
Subtract 6 from both sides. Divide both sides by −1. The answer is 18.
Determine the intercepts of the line.
5x-9=-8y-3
Answer:
X-Intercept: (1.2,0)
Y-Intercept (0,.75)
Step-by-step explanation:
If you want fraction form then the
X-Intercept: (6/5,0)
Y-Intercept (0,3/4)
To find the x intercepts, you have to plug y=0 into the equation. After you plug in y=0, you get the equation 5x-9=-3 and once you solve that, you find that the x intercept = 1.2
Likewise, to find the y intercepts, you would plug x=0 into the equation. Once you do that, you get the equation -9=-8y-3 and when you solve for y you get an intercept of 3/4
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Write as one logarithm. Simplify.
log5 125 – log5 25
Answer:
log 5 5
= 1.
Step-by-step explanation:
Use the logarithm law loga b - loga c = loga b/c:
log5 125 – log5 25
= log5 125 / 25
= log5 5.
= 1.
The expression log5 125 - log5 25 simplifies to 1.
To combine the logarithms log5 125 and log5 25 as one logarithm and simplify, we can use the properties of logarithms. Specifically, we'll use the property that states logb(x) - logb(y) = logb(x/y). Applying this property, we have:
log5 125 - log5 25 = log5 (125/25)
We simplify the fraction 125/25 to get 5. So, we have:
log5 (125/25) = log5 5
The logarithm of a number to the base of itself is always 1, so:
log5 5 = 1
Therefore, the expression log5 125 - log5 25 simplifies to 1.
You ride your bike at 9 miles per hour. To find how long it will take you to ride 26 miles, you solve the equation 9 • t = 26. What does t represent?
The amount of time it takes to ride 26 miles
Your speed in miles per hour
The number of miles you've traveled so far
The total distance after t hours
Answer:
The amount of time it takes to ride 26 miles is 2.89 hours.
Step-by-step explanation:
Given : You ride your bike at 9 miles per hour.
To find : How long it will take you to ride 26 miles ?
Solution :
The equation given is [tex]9\times t=26[/tex]
Using distance formula,
[tex]\text{Distance}=\text{Speed}\times \text{Time}[/tex]
According to formula t represent the time taken to cover the distance.
Your speed in miles per hour is 9 miles per hour.
The number of miles you've traveled so far is 26 miles.
Solving the equation,
[tex]9\times t=26[/tex]
[tex]t=\frac{26}{9}[/tex]
[tex]t=2.89[/tex] hours
The amount of time it takes to ride 26 miles is 2.89 hours.
3x - 3y = -3
2x - y = -5
For this case we must solve the following system of equations:
[tex]3x-3y = -3\\2x-y = -5[/tex]
To solve we follow the steps below:
We multiply the second equation by -3:
[tex]-6x + 3y = 15[/tex]
Thus, we have the equivalent system:
[tex]3x-3y = -3\\-6x + 3y = 15[/tex]
We add the equations:
[tex]3x-6x-3y + 3y = -3 + 15\\-3x = -3 + 15\\-3x = 12\\x = \frac {12} {- 3}\\x = -4[/tex]
We look for the value of the variable "y":
[tex]2 (-4) -y = -5\\-8-y = -5\\-y = -5 + 8\\-y = 3\\y = -3[/tex]
Thus, the solution of the system is given by:
[tex](x, y): (- 4, -3)[/tex]
Answer:
[tex](x, y): (- 4, -3)[/tex]
Mohammad would like to graph the line that represents the total number of baseball cards he will
have collected, T, after m months, given that he buys 5 cards each month and he started with no
cards. He would like the graph to show the number of cards after 6 and 12 months
Select from the drop-down menus to correctly complete each statement
To best show this information, the scale for the T-axis of his graph should go from 0 to at least
(Answer)
and the m-axis of his graph should go from 0 to at least (Answer)
Answer:
To best show this information, the scale for the T-axis of his graph should go from 0 to at least 60.
To best show this information, the scale for the m-axis of his graph should go from 0 to at least 12.
Step-by-step explanation:
Mohammad will have collected T cards after m months, given that he buys 5 cards each month and he started with no cards.
The relationship describing this situation is
[tex]T=5m[/tex]
When [tex]m=6,[/tex] then [tex]T=5\cdot 6=30[/tex] cards.
When [tex]m=12,[/tex] then [tex]T=5\cdot 12=60[/tex] cards.
To best show this information, the scale for the T-axis of his graph should go from 0 to at least 60.
To best show this information, the scale for the m-axis of his graph should go from 0 to at least 12.
need help with 31 pleeeee
Answer: 1 hour
Step-by-step explanation:
2 gallons in, 3 gallons out per minute
means 1 gallon lost per minute
60 gallons in the tank so it will take 60 minutes to drain it completely
answer=1hr
Write the standard form of the equation of the circle with a radius of 5 and a center at (0, 0).
Answer:
Step-by-step explanation:
no
(x +a)² + (y + b)² = r²
Since, a=0 and b=0, r=5, we get x²+ y²= 5².
So, x²+y² = 25
There are 2 girls and 3 boys on a camping trip. What is the ratio of girls
to boys on the trip?
Answer:
2/3
Step-by-step explanation:
Answer:
2/3 is the answer
Step-by-step explanation:
Sequence 1: 32, 16, 0, –16, ...
Sequence 2: 32, 16, 8, 4, ...
Which of the following statements are true regarding Sequence 1 and Sequence 2.
This is a cool one. Sequence 1 will approach negative infinity and Sequence 2 will approach 0 but never get to it!
Sequence 1 is an arithmetic sequence with a common difference of -16. Sequence 2 is a geometric sequence with a common ratio of 1/2.
Explanation:Sequence 1 is an arithmetic sequence with a common difference of -16. Starting with 32, each term is obtained by subtracting 16 from the previous term. Sequence 2 is a geometric sequence with a common ratio of 1/2. Starting with 32, each term is obtained by multiplying the previous term by 1/2.
Sequence 1: 32, 16, 0, -16, ...
Sequence 2: 32, 16, 8, 4, ...
Statement 1: Sequence 1 is an arithmetic sequence. True.
Statement 2: Sequence 2 is a geometric sequence. True.
Statement 3: The common difference in Sequence 1 is 8. False. The common difference is -16.
Statement 4: The common ratio in Sequence 2 is 1/2. True.
Statement 5: The next term in Sequence 1 is -32. True. The next term is obtained by subtracting 16 from -16.
Statement 6: The next term in Sequence 2 is 2. True. The next term is obtained by multiplying 4 by 1/2.
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A) The sum of my digits equals
11. The ones digit minus the
hundreds digit equals 3. No
digit is less than 2.
(2, -3) and (6,-13)
What is the slope
Answer:
-5/2
Step-by-step explanation:
Slope = change in y over change in x or (y2-y1)/(x2-x1)
slope = (-13-(-3))/(6-2) = -10/4 = -5/2
Answer:
m=-5/2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-13-(-3))/(6-2)
m=(-13+3)/4
m=-10/4
simplify,
m=-5/2