Laura just became a personal trainer and is finalizing her pricing plans. One plan is to charge
$55 for the initial consultation and then $41 per session. Another plan is to charge $50 for the
consultation and $46 per session. Laura realizes that the two plans have the same cost for a
certain number of sessions. How many sessions is that? What is that cost?
Using algebraic equations:
the number of sessions that will give same cost for both plans is: 1
the cost is: $96
Translate the situation into algebraic equations.
Let y = Total cost x = number of sessionsEquation for total cost of the first plan:
y = 41x + 55
Equation for the total cost of the second plan:
y = 46x + 50
To find the number of sessions that would yield same cost for both plans, make both equations equal to each other and solve for x.
41x + 55 = 46x + 50
Combine like terms together41x - 46x = - 55 + 50
-5x = -5
x = 1
For a session, both plans will yield the same cost.
The cost 1 session will yield for both:
41x + 55 = 46x + 50
Plug in the value of x41(1) + 55 = 46(1) + 50
96 = 96
Therefore, using algebraic equations:
the number of sessions that will give same cost for both plans is: 1
the cost is: $96
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-8.5x +0.43 = -2.97
The solution is x =
Answer:
x=0.4
Step-by-step explanation:
ubtract
0.43
from both sides of the equation.
−
8.5
x
=
−
2.97
−
0.43
Subtract
0.43
from
−
2.97
.
−
8.5
x
=
−
3.4
Divide each term in
−
8.5
x
=
−
3.4
by
−
8.5
.
−
8.5
x
−
8.5
=
−
3.4
−
8.5
Divide
−
3.4
by
−
8.5
.
x
=
0.4
original price of a cd is 12.50. what is the price with a discount of 39%
Answer:
original price of a cd is 12.50. what is the price with a discount of 39%
Step-by-step explanation:
Which of the following is a radical equation?
x^/3 = 13
x+√3 = 13
^/x+3 = 13
X+3=^/13
[tex]\huge \bf༆ Answer ༄[/tex]
The Correct choice is ~
[tex] \sf \: x + \sqrt{3} = 13[/tex]Help pleaseeee :,) 100 points
Answer:
x = 125
Step-by-step explanation:
Given equation:
[tex]\log_224-\log_23=\log_5x[/tex]
[tex]\textsf{Apply the Quotient log law}: \quad \log_ax - \log_ay=\log_a\frac{x}{y}[/tex]
[tex]\implies \log_2\left(\dfrac{24}{3}\right)=\log_5x[/tex]
[tex]\implies \log_28=\log_5x[/tex]
Rewrite 8 as 2³:
[tex]\implies \log_2(2^3)=\log_5x[/tex]
[tex]\textsf{Apply the Power log law}: \quad \log_ax^n=n\log_ax[/tex]
[tex]\implies 3\log_22=\log_5x[/tex]
[tex]\textsf{Apply log law}: \quad \log_aa=1[/tex]
[tex]\implies 3(1)=\log_5x[/tex]
[tex]\implies \log_5x=3[/tex]
[tex]\textsf{Apply log law}: \quad \log_ab=c \iff a^c=b[/tex]
[tex]\implies 5^3=x[/tex]
[tex]\implies x=125[/tex]
What is differentiation ?
Answer:
differentiate
for example what is difference between this and that
Average 8, 14, and 11
Answer:
Step-by-step explanation:
you add 8,14, and 11 to get 33 then you divide it by 3, because there are 3 numbers meaning the average is 11.
If that makes, all you have to do is add up all the numbers then divide by the amount of numbers you see to find the average of the numbers.
[tex]\huge\text{\bf Hey there!}[/tex]
[tex]\large\text{The word \underline{average} is basically the \boxed{\bf mean} of a data set. When you }\\\large\text{hear or see the word \underline{average} in math think of its asking you to \boxed{\bf find \ your \ total}}\\\large\text{in your data set.}[/tex]
[tex]\large\text{Here is the formula to make it easier to solve}\downarrow[/tex]
[tex]\mathbf{mean = \dfrac{sum\ of\ all\ terms}{number\ of\ terms}}}[/tex]
[tex]\large\text{YOUR EQUATION:}[/tex]
[tex]\mathbf{average = \dfrac{8 + 14 + 11}{3}}[/tex]
[tex]\mathbf{\dfrac{8 + 14 + 11}{3}}[/tex]
[tex]\mathbf{= \dfrac{22 + 11}{3}}[/tex]
[tex]\mathbf{= \dfrac{33}{3}}[/tex]
[tex]\mathbf{= \dfrac{33\div3}{3\div3}}[/tex]
[tex]\mathbf{= \dfrac{11}{1}}[/tex] [tex]\mathbf{\rightarrow 11\div1}[/tex]
[tex]\mathbf{= 11}[/tex]
[tex]\huge\boxed{\text{Therefore, your answer should be: \textsf{11}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Any help wit this one
Answer:
22.5 centimetres per second.
Step-by-step explanation:
To get the awnser for this you do the highest length of centimetre which is 90 divided by how many seconds it took to get to 90 centimetres, then we do 90÷4 which equals to 22.5, so the awnser is 22.5 centimetres per second. Hope this helps.
The Williams merch team earned 8,000 on mask sales and will earn 4 for each T-shirt they sell. Their goal is to earn 12,000 on today’s sales. Write an inequality to determine the number, t, of t-shirts the merch team could sell to earn their goal.
Answer:
[tex]12,000\geq 4t+8,000[/tex]
Step-by-step explanation:
-16.51 divided by 2.54 I need answers
Answer:
Answer: -13\2Step-by-step explanation:
-16.51
---------
2.54
-16.51
--------
2.54
1651
------
254
-13
-----
2
Answer: -13
----
2
Please help with this I will mark you as brainliest
Answer:
The answer is t = 0.25
Step-by-step explanation:
Answer:
t = 0.25
Step-by-step explanation:
Andre runs at a constant speed, 5 meters every 2 seconds. how long does it take him to run 91 meters at this rate
Answer: 36.4 seconds
(Unitary method)
5 meters take 2 seconds
1 meter takes 2/5 seconds
91 meter takes 2/5 * 91 --> 36.4 seconds
The time taken by Andre to run 91 meters is 36.5 seconds.
What is the speed of an object?Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time
Given here: Distance travelled by Andre=5 meters in time t=2seconds
Thus Andre's speed = 5/2
=2.5 m/sec
Thus time taken to run 91 m is = 91/2.5
=36.5 seconds
Hence, The time taken by Andre to run 91 meters is 36.5 seconds.
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Perform the indicated operation
g(x)=x^3+5x and f(x)=2x-2
Find (g o f)(x)
Answer:
g(f(x)) = 8x^3-24x^2+34x-18
Step-by-step explanation:
The composition is ...
[tex](g\circ f)(x)=g(f(x))=g(2x-2)\\\\=(2x-2)^3+5(2x-2)\\\\=(2x)^3 +3(-2)(2x)^2+3(-2)^2(2x)+(-2)^3+10x-10\\\\=8x^3-24x^2 +24x-8+10x-10\\\\\boxed{(g\circ f)(x)=8x^3-24x^2+34x-18}[/tex]
what is the slope of the line
Answer:
The slope is 0.8 or 4/5.
Step-by-step explanation:
Let's take two points on a line. (-2,0) and (3,4).
Now, determine the rise and run.
Rise: 4Run: 5Slope = Rise/Run
=> 4/5Conclusion:
Therefore, the slope is 0.8 or 4/5.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Answer:
The answer is rise over run
Step-by-step explanation:
You divide the rise coordinate on the Y axis of the X coordinate
What is the estimated difference between 7 6/11−5 13/15?
NO LINK OR FILESSSS PLZZZZZZZZZZZZ
Answer:
1 1/2
Step-by-step explanation:
7 6/11 is close to 7 1/2
5 13/15 is close to 6
7 1/2 - 6 = 1 1/2
Explain how you would solve the problem below.
20% of 60
One bunch of seedless black grapes cost $2. How many bunches can you buy for $20?
Answer:
If one bunch is two dollars even, then you could buy 10 bunches.
Step-by-step explanation:
20 divided by 2 = 10
So, you could buy ten bunches of grapes.
Answer:
the answer is 10 because 2 goes into 20 10 times.
Step-by-step explanation:
What does Point P on the number line represent? (Use the hyphen for negative numbers, such as −9)
I will mark you brinilylist if you got the best aswer
Answer:
-5
Step-by-step explanation:
considering they are counting in whole numbers it should be -5
hola pueden ayudar a=6cm b=8cm c?
Answer:
c=10cm
Step-by-step explanation:
a²+b²=c²
6²+8²=c²
36+64=c²
100=c²
10=c
if n=11 what is p pls help me
p=49 1/2 that's the answer i got you lil guy
ababccaaadadaddaddaa
Answer:
ababababababababbbababbbababbababaaaaaabababbababab
Step-by-step explanation:
hru and thank u for this question
Answer:
dsvrg
Step-by-step explanation:
3
5
+
2
3
=
whats the answer
Answer:
19/15 is the answer
In a scale drawing, 3 millimeters represents 17 meters. Exactly how many millimeters represents 55 meters?
Work Shown:
(3 mm)/(17 m) = (x mm)/(55 m)
3/17 = x/55
3*55 = 17*x
165 = 17x
17x = 165
x = 165/17
x = 9.706 approximately
Side note: I used the cross multiplication rule for the third step.
if a baseball team has lost 50 matches out of the 120 matches played in total, find out their winning percentage?
The percentage is the indicating hundredth thus the percentage of winning is 58.33%.
What is the percentage?The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
The percentage is just like the amount of that value but between 1 to 100 and it is very useful to predict for example if you say 678 then we have to know about the full number also but if you say 80% then it becomes clear.
As per the given,
Total matches = 120
Number of lost matches = 50
Number of winning match = 120 - 50 = 70
Winning percentage = (70/120) x 100 = 58.33%
Hence "The percentage is the indicating hundredth thus the percentage of winning is 58.33%".
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does anyone know the answer
Answer: C. Distributive Property
Step-by-step explanation: To simplify this expression, you would multiply 6 by y and 2.
10.) *
12
Sam ate 2/8 a pizza for dinner.
Then he ate 1/4 of the original pizza for lunch the next day. How much pizza is left
pizza for lunch the next day. How
much pizza is left
Answer:
4/8 (2/4)
Step-by-step explanation:
1/4 is 2/8
He ate 2/8 pizza for dinner
Then he ate 1/4 (2/8) the next day
So he has 4/8 (2/4) pizza left
If similar, state if it’s AA similarity, SSS or SAS similarity
Answer:
they are not similar
Step-by-step explanation:
MN/VW=16/22=8/11
LN/UW=20/28=5/7
LM/UV=25/35=5/7
there is no information about the angles, you apply SSS but in this situation not all sides are proportional
PLS ANSWER AND I WILL MARK AS BRAINLIST
Answer:
the correct answer is -8
Step-by-step explanation:
Raise -2 to the power of 3.
Answer:
Step-by-step explanation:
(-2)*(-2)*(-2) = -8
can someone answer my question plz
Graph the line that represents a proportional relationship between d and t with the property that an increase of 3 units in t corresponds to an increase of 8 units in d. What is the unit rate of change of d with respect to t? (That is, a change of 1 unit in t will correspond to a change of how many units in d?) The unit rate of change is Graph the relationship. The unit rate of change is _____
Answer:
Draw a straight line through these two points (0, 0) and (1, 3).
Step-by-step explanation:
"Proportional relationship" implies line or curve that goes through the origin; there is no "y-intercept" in this case.
Plot a dot at (0, 0). Next, move your pencil point 1 unit to the right (you'll end up at (1, 0), and then move it from there up to (1, 3). Draw a straight line through these two points (0, 0) and (1, 3).
Candi must take 15 ml of Medicine A three times daily, until it is finished. If the bottle of Medicine A contains, 5 L, how many days will she be taking the medication?
Round off your answer to the nearest whole number.
Candi would be taken medicine A for 11 days for her to complete the medication.
1 L = 1000 ml
Candi needs to take 15 ml of Medicine A three times daily. Therefore:
Amount of drug taken by Candi daily = 15 ml * 3 times = 45 ml = 0.045 L
Since the bottle contains 5 L, The number of days she needs to take the madication is:
Number of days = 5 L / 0.045 L = 11 days
Candi would be taken medicine A for 11 days for her to complete the medication.
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