Answer:
See below:
Step-by-step explanation:
Hello! I hope you are having a nice day.
We can solve the problem in 2 steps, one being Solving, and the second being Comprehending. I'll start with comprehending.
Comprehending
We can start by analyzing the problem and creating an equation to then begin solving.
So, we know that a number, which we will call [tex]x[/tex] has a discount of 10% to get the current price of $810. We know that when there is a discount, we need to find what the 10 percent is then add it to the current price;$810.
We can create a formula and steps by doing the following:
[tex]x*0.9=810[/tex]
We have 0.9 as there is a 10% discount (0.1) and we subtract 1.00 by 0.1 to get 0.9. (Which is 90%).
This states that 90% of a number is equal to 810.
Now that we have an equation, we can begin solving.
Solving
We can solve the problem by using basic algebra.
[tex]x*0.9=810\\x*\frac{9}{10}=810\\x=(810*10)\div 9\\x=8100 \div 9\\x=900[/tex]
On step 1, we convert the decimal to a fraction for easy simplification/solving.
On step 2, we split the fraction into two and since we're dividing, we can flip the fraction and multiply by 10 and divide by 9.
On step 3, we use basic algebra and after step 4 we get our answer.
We can double check out answer by doing the following:
[tex]900-(900*0.10)=810?\\900-90=810?\\810=810[/tex]
We have checked our answer and gotten our answer of $900.
Cheers!
If
x
=
4
and
y
=
6
, evaluate the following expression:
20
+
3
(
3
y
−
4
x
)
20+3(3y-4x)
if x=4 y=6
20+3((3×6)-(4×4))=20+3(18-16)=20+3×2=20+6=26
answer: 26.
Given f(x) = 8x + 1 and g(x) = f(x - 2), which equation represents g?
O A. g(x) = 6x + 1
O B. g(x) = 6x - 1
O C. g(x) = 8x + 15
O D. g(x) = 8x - 15
Answer:Given f(x) = 8x + 1 and g(x) = f(x − 2), which equation represents g substitute x-2 for x in f(x). we have. g(x)=8(x-2)+1. =8x-16+1. =8x-15.
Step-by-step explanation:
find slope and y-intercept
5x+3y=-6
Answer:
[tex]m=-\frac53; q=-2[/tex]
Step-by-step explanation:
Let's bring the line in the classical [tex]y=mx+q[/tex] form
[tex]3y= -5x-6\\y=-\frac53 x -2[/tex]
At this point we have the two values [tex]-\frac53[/tex] for the slope and [tex]2[/tex] for the intercept
The selling price of an item is $550 it’s marked down by 20% but the sale price is still marked up from the cost of $400 find the markup from cost to sale price
for f(x)=8x+8, find f(x) when x=5
A:-32
B:56
C:104
D:48
Answer:
D. 48
Step-by-step explanation:
f(x)=8x+8
f(x)=40+8
f(x)=48
Write each number without exponent 6.453 x 10^-3
Answer:
.006453
Step-by-step explanation:
6.453 x 10^-3
Move the decimal 3 places to the left since the exponent is negative
006.453
.006453
A boat traveled 27 miles in 2 hours. At this rate, how many miles will the boat travel in 1 over 2 hour?
Neil is rolling a fair die and the last ten rolls have been 2, 5, 6, 3, 2, 1, 5, 2, 6, and 1. He says that the probability of getting a four on his next roll is higher since he has not gotten one yet. Is he correct?
A) No, the probability of getting a 4 on a fair die does not change. It will always be 16 no matter what he got on previous rolls.
B) Yes, since he has gotten everything but a 4 on the last ten rolls, the probability of getting a 4 is higher on the next roll.
C) No, since he has not gotten a 4 yet he is guaranteed to get one on the next roll as it is time for him to get one.
D) There is no way to tell until he rolls the die. You cannot accurately predict what he will get.
Answer:
A)No, the probability of getting a 3 on a fair die does not change. It will always be 1/6 no matter what she got on the previous roll.
Step-by-step explanation:
Weather report, pls help me y’all i don’t wanna fail this class i beg you plss
Answer:
1
Step-by-step explanation:
A toy rocket is launched from the ground, the equation
h= -16t^2+ 80t, models the height of the rocket h in feet at any timet
in seconds.
For which interval of time will the rocket be higher than 64 feet off the
ground?
Answer:
Step-by-step explanation:
We can graph the function and determine the points where the y value line is greater than 64 feet. We could also solve the equation for h = 64.
Graphing:
A graph is attached. The intersections of the line at height = 64 feet are at (1,64) and (4,64). The first is going up and the second coming down. The period of time the rocket is above 64 feet is from 1 to 4 seconds.
Solving:
h= -16t^2+ 80t
64 = -16t^2+ 80t
-16t^2+ 80t - 64 = 0
Solve using the quadratic formula:
We get two answers: 1 and 4 (seconds)
Please help I do not understand what to do or what the answer is
Answer:
Step-by-step explanation:
[tex](x_{1} ,y_{1}) = (-3 , -4) \\\\(x_{2},y_{2}) = (-7 ,16)\\\\\\Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\dfrac{16-[-4]}{-7-[-3]}=\dfrac{16+4}{-7+3}\\\\=\dfrac{20}{-4}\\\\=-5[/tex]
(1 , -3) & ( 1 , 0)
The x-coordinates in the points are unchanged. So, the line is parallel to y-axis.
Slope is undefined.
3) (0,2) , (4 , 0)
[tex]Slope =\dfrac{0-2}{4-0}=\dfrac{-2}{4}=\dfrac{-1}{2}[/tex]
The casino will pay you $20 for every dollar you bet if your number comes up. How much profit is the casino making on the bet
Answer:
The casino is making 47 cents profit on your $1 bet
Step-by-step explanation:
19(1/38) + (-1)(37/38) = -0.4736
How to solve (8x-3)(5x+4)=0
Answer:
x= 3/8 = 0.375 , x= -4/5= -0.8
Step-by-step explanation:
8x-3=0
8x=3
8x/8 = 3/8
x= 3/8 converted to decimal will be =0.375
for 5x+4=0
5x= -4
5x/5 = -4/5
x= -4/5 = converted to decimal will be = -0.8
Answer:
x —4/5 or 3/8
Step-by-step explanation:
hope it helps u
plzz plzz plzz mark as brainliest
If needed,round your answer to the nearest cent.
please help me.
Answer:
1.62 per pen
Step-by-step explanation:
Take the total cost and divide by the number of pens
9.69/6
1.615
Round to the nearest cent
1.62 per pen
Jason swims at a constant speed of 5 feet per second and gets a 30 second head start over Frank. How fast must Frank swim in order to reach 300 yards at the same time that Jason does? Answer numerically in feet per second.
Answer:
6 ft/s
Hope I helped
please need help answering this
9514 1404 393
Answer:
2
Step-by-step explanation:
Between the points at (x, y) = (-5, 4) and (-4, 6), the graph rises 2 units for a horizontal run of 1 unit. The average rate of change between the two points is ...
m = rise/run = 2/1 = 2
The average rate of change on the interval [-5, -4] is 2.
Hi pls help me I'm mad struggling
<3
Answer:
should have studied
Step-by-step explanation:
Which one is not a function? And why not ?
Answer:
the selected answer/2
Step-by-step explanation:
not a function because the same y has 2 different x values
A you-pick blueberry farm offers 6 lbs of blueberry for $16.50.
Sketch a graph of the relationship between cost and pounds of blueberries
Answer:
Step-by-step explanation:
Lol hi
The points (2,-5) and (5,r) lie on a line with slope 2. Find the missing coordinate r.
Answer: r = 1
Step-by-step explanation:
The slope of a line can be represented as [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. Plugging in the following values would provide you with:
[tex]\frac{(r)-(-5)}{(5)-(2)} =2[/tex]
[tex]\frac{r + 5}{3} = 2[/tex]
[tex]r + 5 = 6[/tex]
[tex]r = 1[/tex]
Hope it helps :) and let me know if you want me to elaborate on anything.
Solve for c.
c+38=113
Enter your answer as a fraction in simplest form in the box.
c =
Answer:
c = 75
Hope this helps!
Step-by-step explanation:
c + 38 = 113
c + 38 - 38 = 113 - 38
c = 113 - 38
c = 75
When 8 goes in,5 comes out
When 24 goes in.13comes out
when 70 goes in,__ comes out
What is the missing answer?
When 70 goes in, 36 comes out.
The pattern for this is x/2 + 1.
8/2 = 4, 4+1 = 5
24/2 = 12, 12+1 = 13
70/2 = 35, 35+1 = 36
Write an explicit rule and recursive rule for a geometric sequence with a 2nd term of 6 and a 3rd term of 12.
Answer:
57777788999999888889999
Create a random triangle, ABC Measure and record its angles.
Answer:
a. 3.5
b.5.4
c 2.6
Step-by-step explanation:
/\_
is 60:45 and 4:3 are equivalent ratios
Answer:
yes
Step-by-step explanation:
if we divide both terms of 60 and 45 by 15, we can simplify it to 4:3.
I need help (if you can) the problem is Solve
the algebraic expression below.
(3)(0.2)+9
Answer:
9.6
Step-by-step explanation:
(3) * (0.2)=0.6
Then do 9+ 0.6
this will equal 9.6
GEOMETRY HELP ME PLEASE ASAP
Right and equation of a line passing through the point (-6,-3) and perpendicular to line JK with J(-2,-7) and K(6,5)
Answer:
Find the slope that passes between the points.
(y₂ - y₁) / (x₂ - x₁)
J(-4, -5)
K(-6, 3)
(3 - (-5)) / (-6 - (-4))
(3 + 5) / (-6 + 4)
8 / -2
-4
Step-by-step explanation:
there
The L.C.M of two numbers is 2079 and their H.C.F. is 27. If one of the numbers is 297, then the other number is:
Step-by-step explanation:
2079 / 297 = 7
that is the first indication about what we need.
but 7 itself can't be the solution, because the solution needs to contain at least a factor of 27.
297 = 27×11
therefore,
2079 = 27×11×7
and the other number must now be
27×7 = 189
because due to the HCF it has to be divisible by 27, but must have another additional factor. a factor that allows it to divide 2079 without remainder, and makes it big enough to block any LCM lower than 2079.
there are only 2 other factors available in 2079 : 11 and 7.
297 has already "taken" 11, and the two numbers cannot be the same (otherwise the LCM and the HCF would be the number itself), so that leaves 7 for the other number.
hence the solution.
the other number is 189
and the other number must then be 27×7 = 189
3/4 ÷ 1/2 +1 ddgngadgaekyfyuktyjrthrgefwretrytjyktuli;obpnML"NKP?boliykujhtgrfedw
Answer:
5/2
Step-by-step explanation:
alternative = 2 1/2 , 2.5
7. Elle can buy milk at a local farmers'
market for $3.58 per gallon or at the
grocery store for $3.79 for 4 L. Which
is the better buy?
Answer: They are the same equivalent price, $0.95/liter.
Step-by-step explanation:
Choices: $3.58 per gallon, or $3.79 for 4 L.
========
We need to convert one of the volumes. I'll convert gallons to liters.
By definition, 1 gallon = 3.785 liters
Make this into a conversion factor:
We can make it either:
1) (3.785 liters/gallon), or
2) (1 gallon/3.785 liters)
Now convert the $3.58/gallon into dollars/liter. We'll use the second conversion factor so that gallons cancels out when we multiply:
($3.58/gallon)*(1 gallon/3.785 liters) = $0.95/liter.
The grocery store milk must also be converted to a price expressed per 1 liter:
$3.79 for 4 L
= $0.95/liter.
They are the same equivalent price, $0.95/liter.