Answer:
x = -19
Step-by-step explanation:
6x + 36 = 4x - 2
6x + 36 - (4x - 2) = 4x - 2 - (4x - 2)
2x + 38 = 0
2x = -38
x = -19
Lindsey went to best buy and bought an MP3 Player. If the MP3 Player costs $78.99 and the sales tax was 6.5%, what was her total bill?
Answer:
$84.12
Step-by-step explanation:
78.99 x 0.065 = 5.13
78.99 + 5.13 = 84.12
find the the sulotion set/roots of the following equation
1. x(x + 3) = 28
2.3s(s-2) = 12s
3.( t + 1)²+(t - 8) ² = 45
4.(x + 2)² (x - 2)² 16
_______ + __ = _
5 3 3
5. 4 r
______ + ____ = -2
t - 3 2
Dante runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?
Step-by-step:
We can write it in the proportion [tex]\frac{7}{60} = \frac{x}{24}[/tex]
where x is our number of miles trying to find
We now cross multiply or use the butterfly method which I will demonstrate both
Cross MultiplyWe multiply the numerator with the dominator
so [tex]7 multiplied by 24[/tex]
and [tex]60 multiplied by x[/tex]
[tex]7*24=60x[/tex]
[tex]168=60x[/tex]
[tex]\frac{168}{60} =\frac{60x}{60}[/tex]
[tex]2.8=x[/tex] or [tex]x=2.8[/tex]
Now for the
Butterfly MethodYou would do 7 times 24 divided by 60 or [tex]\frac{7*24}{60}[/tex]
Then[tex]\frac{168}{60}[/tex] simplify
[tex]2.8[/tex] so 2.8 miles in either method
What is 2(5-3x)+(x-10)
Answer:
-5x
Step-by-step explanation:
-5x
step to step explaination:
2(5-3x)+(x-10)
=10-6x+x-10
=10-10-6x+x
= -5x
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The pumps will turn off when the volume in the tank hits 10,000 gallons. To the nearest minutes after how long does this happen
Answer:
150 minutes
Step-by-step explanation:
The mean of 4 numbers is 40, what is the sum of the 4 numbers
Answer:
the sum of 4 numbers is 160
Step-by-step explanation:
Let 4 numbers be a, b, c, d
Mean of those 4 numbers is: (a+b+c+d) : 4 = 40
So the sum of 4 numbers is: (a+b+c+d) = 40 x 4 = 160
=> 160 is the sum of 4 numbers
Jasmine travels 732 miles at an average speed of 65 mi/hr. How long will it take her to reach her destination? Round your answer to
the hundredths place.
Answer:
11.26 hrStep-by-step explanation:
Use the following equation:
Time = distance / speedt = 732 / 65 = 11.26 (rounded)Answer:11.26 hours
Step-by-step explanation:
which is the equation of a line that has a slope of -2/3 and passes through point (-3, -1)?
Answer: y = (-2/3)x - 3
Step-by-step explanation:
We'll be using y = mx + b
m = slope
b = y-intercept
Because we know this line will pass through -3, -1, we can input that.
y = mx + b
-1 = (-2/3)(-3) + b
-1 = 2 + b
b = -3
We can input that now to get the equation
y = (-2/3)x - 3
Edward run 1/3 of a mile in 5 minutes. If he runs 3/4 of an hour, how far does he go?
Answer:
He goes 4 miles
Step-by-step explanation:
Find the differential of the function.
u = 3x4 + 4
Answer:
U(x)= 3+4
Step-by-step explanation:
I simplified this equation into function notation form, then simplified the 12 and 4 with the common factor of 4.
Hope this helped and have a great day,
Ginny
Answer:
14
Step-by-step explanation:
you could solve this three different ways
1. 4*3 is 12 so add 4 = 16
2. 4 squared because 4*4 = 16
3. draw 4 groups of four to get 16
Aaliyah has a loyalty card good for a discount at her local hardware store. The item she wants to buy is priced at $39, before discount and tax. After the discount, and before tax, the price is $33.54. Find the percent discount.
Answer:
16.13
Step-by-step explanation:
x + ( -22 ) = 31
x = ?
x + ( -22 ) = 31
x = ?
Answer :x = 31 - ( -22 )
x = 31 + 22 =
x = 53
x = 53 ✔️
Answer:
52
Step-by-step explanation:
x + (-21)=31
x-21=31
x=31+21
x=52
Complete 4-14. I have the answers to the previous questions if needed.
Answer:
d
Step-by-step explanation:
Ava bought a new computer and is now
$249 in debt. How much money does
Ava have?
What does $0 represent in this problem?
Answer:
If Ava is in Debt she will have 0 dollars. 0 represents how much money Ava has. Hope this helps!
Step-by-step explanation:
What's the sum of 14,12,8,and 6
Answer:
40
Step-by-step explanation:
14 + 12 + 8 + 6 = ?
20 + 20 = ?
20 + 20 = 40
help plsss plsss pls
Answer:
11) >
12) >
13)<
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I HOPE IT IS HELPFUL
A hose fills a hot tub at a rate of 4.86 gallons per minute. How many hours will it take to fill a 267 gallon hot tub?
La función de costos para una compañía es C=125q + 13500 y su punto de equilibrio es q=270. Plantear la función de Utilidad
Based on the information given, the total cost incurred based on the equation given as C= 125q + 13500 will be 47250.
From the information given, the cost function is given as C=125q + 13500 while the value of q is given as 270. Therefore, on order to find the cost, we'll slot in the value of q into the equation given. This will be:
C=125q + 13500
C = 125(270) + 13500
C = 33750 + 13500
C = 47250
In conclusion, the cost is 47250.
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g(x)=x^2-6/3x+10 g(4)=?
Answer:
g(4) = [tex]\frac{5}{11}[/tex]
Step-by-step explanation:
Substitute x = 4 into g(x) , that is
g(4) = [tex]\frac{4^2-6}{3(4)+10}[/tex] = [tex]\frac{16-6}{12+10}[/tex] = [tex]\frac{10}{22}[/tex] = [tex]\frac{5}{11}[/tex]
_______
[tex] \: [/tex]
[tex] \sf{g(x) = \frac{ {x}^{2} - 6 }{3x + 10} }[/tex]
[tex] \sf{g(4) = \frac{ {4}^{2} - 6 }{3(4) + 10}} [/tex]
[tex] \sf{g(4) = \frac{16 - 6}{12 + 10}} [/tex]
[tex] \sf{g(4) = \frac{10}{22}} [/tex]
[tex] \sf{g(4) = \bold{\frac{5}{11}} }[/tex]
If the function f (x) is defined by f(x) =x over 2 minus 6
Depending on how it is written, it could be either of these following solutions:
f(x) = x/2 - 6 or f(x) = x/(2-6)
For the first, we solve for x by replacing f(x) with 0
x/2 - 6 = 0
x/2 = 6
x = 3
For the second, do the same
x/(2-6) = 0
x/-4 = 0
x = 0
If 49600 dollars is invested at an interest rate of 8 percent per year, find the value of the investment at the end of 5 years for the following compounding methods.
Monthly:
Daily:
Answer:
Monthly = 31000 Daily = 10950000
Step-by-step explanation:
49,600/6=31000
1825 days in 5 years
1825 x 6000
Hope that helps :)
Factorize this quadratic expression 12x^2-x-6
Answer:
(4x - 3)(3x + 2)
Step-by-step explanation:
(4x - 3)(3x + 2)
Luna is competing in a 200 m race.
She runs at a constant speed of 5.4 m/s for the first 50 m, then 4.4 m/s for 10 seconds.
The remainder of the race takes her 29 seconds to complete.
What is Luna's average speed for the entire race to 1 dp?
Answer:
24
Step-by-step explanation:
Answer:
24 in the answer
Step-by-step explanation:
Hep help help help thanks thanks
Answer:
2
Step-by-step explanation:
4x+2<=10
4x<=8
x<=2
Answer:
x < = 2Step-by-step explanation:
(4x + 2)/5 <= 2
4x + 2 <= 10
4x <= 10 - 2
x <= 8/4
x<= 2...ans
Hope it Helps you!!Harry is paid £8.60 per hour for the first 30 hours he works each week. After 30 hours he is paid 1 and a half times the hourly rate.
Last week Harry worked 33 hours. He was also paid a bonus of 1/10 of his earnings
Calculate how much in total Harry was paid last week
Answer:
1404.81
Step-by-step explanation:
1277.1 +127.71 = i read it wrong the first time sorry
The total amount paid to harry in past week, is 299.28.
What is amount?Amount is the sum or the total value.
For example, if A purchase 2 kg rice at the price of 40 rs/kg, the amount will be 40×2= 80 rs.
Given that,
The amount paid to Harry for 1 hour = $8.60
Since, Harry worked for 33 hours,
So, The amount paid to Harry for 33 hours = 8.60×33=283.8
Harry gets half times more amount than hourly rate and also gets bonus for last 3 days
So for last 3 days the extra amount paid to Harry
= 3×1/2×8.60+3×1/10×8.60
= 12.9+2.58
=15.48
So the total amount paid to harry = 283.8+15.48=299.28
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How to find out the least common denominator of 3/4 and 7/10
Answer:
20
Step-by-step explanation:
you use prime factor method to find the least common divider of denominator 10 and 5
This table represents a relationship Is this relationship proportional or not proportional?
Hours Worked 2 3 4 5 6
Total Income $20.50 $30.75 $41.00 $51.25 $61.50
Select from the drop down menus to correctly complete the statement
The relationship represented by this table is ______ because the unit rates _____
Answer:
Proportional and they are all equal to 10.25
Step-by-step explanation:
20.50/2=10.25
30.75/3=10.25
41/4=10.25
51.25/5=10.25
61.5/6=10.25
They all match. they are proportional.
A player throws a coin 100 times. It lands on heads 54 times. Comment on whether the coin is fair.
Answer:
yes
Step-by-step explanation:
in a perfect situation, it would be 50/50 because there are two options, but because a person is throwing it, and is throwing it a little differently every time, it is not perfect, but it is close, close enough that it is clearly a fair coin
What is the quotient of 8×10 to the 20/4÷2×10 to the 18th in scientific notation
Step-by-step explanation:
[tex] = \frac{8 \times {10}^{24} }{ 2\times {10}^{18} } [/tex]
[tex] = \frac{8}{2} \times {10}^{24 - 18} [/tex]
[tex] = 4 \times {10}^{6} [/tex]
[tex] \: [/tex]
[tex] \frac{8 \times {10}^{24} }{2 \times {10}^{18} } = 4 \times {10}^{6} [/tex]
Answer:
[tex] \sf \frac{8 \times {10}^{24} }{2 \times {10}^{18} } = ... \times {10}^{?} [/tex]
[tex] \sf (8 \div 2) \times {10}^{(24 - 18)} =... \times {10}^{?} [/tex]
[tex] \sf4 \times {10}^{6} = ... \times {10}^{?} [/tex]
[tex]↪4 \times {10}^{6} [/tex]
Which of the following can be used to show that the triangles are congruent
In ΔPQN and ΔSQN,
∠PQN = ∠SNQ (Given)
∠PNQ = ∠SQN (Given)
NQ = NQ (Common)
∴ ΔPQN ≅ ΔSQN (By ASA Criteria)
Option C is correct.
Hope it helps you....
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