Regina’s teacher recently gave her a homework assignment on solving equations. Since she has been thinking about saving for a new cell phone, she decided to use the assignment as an opportunity to model a savings plan.
She created this equation to model the situation. In it, y represents the total amount saved for the new cell phone, 74 is the amount of money she has now, 40 is the amount of money she saves each month for the phone, and x represents the number of months since she started saving a regular amount:
74 + 40x = y.
She then solved the equation to determine how many months she’d need to save to have enough to purchase the new cell phone. Review her work, and select the error.
Answers
Answer:
The answer is 4.
Step-by-step explanation:
In her solution, there is an error in step 4. She used the multiplication property of equality but its a division property.
Given that,
A solution is given, we have to review the solution and mark the steps that contain an error.
In mathematics, it deals with numbers of operations according to the statements.
Here,
In the solution, every step is accurate and correct, except for step 4. she divided the equality by 40 and she wrote the step as multiplication property of equality which is wrong the correct statement for step 4 is the division property of equality.
Thus, in her solution, there is an error in step 4. She used the multiplication property of equality but its a division property.
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Related Questions
what is 4x +9 in a verbal expression?
Answers
Answer:
four times a number plus nine
Step-by-step explanation:
I need help with this
Answers
Answer:
3 weeks.
Step-by-step explanation:
Answer:
3 weeks
Step-by-step explanation:
Hope this helps
Calcule o valor de x, sabendo que as retas “e” “f” e “a” são paralelas
a)36
b)37
c)37,5
d)38
Answers
Answer:
c
Step-by-step explanation:
[tex]\frac{x}{25}=\frac{60}{40}\\\\By\:Thales's\:Theorem\\\\x=\frac{60*25}{40}\\\\x=\frac{60*5}{8}\\\\x=\frac{15*5}{2}\\\\x=\frac{75}{2}\\\\x=37.5[/tex]
In the graph of an inequality, the area above a solid line through the points (−5, 2) and (3, 2) is shaded.
Which inequality does this graph represent?
A. y ≥ 2
B. y ≤ 2
C. y 2
Answers
Answer:
A. y ≥ 2
Step-by-step explanation:
First the line is solid, a complete line not dotted so the inequality sign to use is : ≥ or ≤
The points have their y-coordinate vale as 2, (−5, 2) and (3, 2), this means the line crosses the y-axis at y=2 but because the shaded part is above this line, then the correct inequality will be :
y ≥ 2
See attached graph below.
An item is priced at $14.07. If the sales tax is 5%, what does the item cost including sales tax?
Answers
Answer:
14.77
Sale Tax: 5.00% or $0.70
Answer:
14.12
Step-by-step explanation:
0.05 is also known as 5%
14.07+0.05=14.12
9=4(s-3)
Help me what’s the correct answer?
Answers
Answer:
s=5 1/4
Step-by-step explanation:
Have a wonderful day
evaluate x2+x-12÷y2 for x = 5 and y =2
Answers
Answer:
3
Step-by-step explanation:
Verify the following: 3
−21 × −4 + −6 = −21 × −4 + (−21) × (−6)
Answers
Answer:
the answer is -14 how about
study math next time
Answer:
Incorrect
Step-by-step explanation:
Use PEMDAS
Solve one side of the equation first
-21 × -4 + - 6
negative × negative = positive
84 + - 6
positive + negative = negative
84 - 6
78
Now solve the other side of the equation
-21 × -4 + (-21) × (-6)
negative × negative = positive
-21 × -4 + (126)
negative × negative = positive
84 + 126
210
Does 78 = 210?
No, so we can assume this equation is incorrect
What is 5280 divided by 60
Answers
Answer:
ya the answer is 88
Step-by-step explanation:
given the weekly demand curve of a local wine producer is p= 50-0.1q, and that the total cost function is c= 1500+ 10q, where q bottles are produced each day and sold at a price of $p per unit. a)Express the weekly profit as a function of price.b) at what price must a bottle of wine be sold to realise maximum profit. c) what is the maximum profit that ca be made by the producer
Answers
Answer:
a)the weekly profit as a function of price is[tex]P=-10 p^2 + 600 p - 6500[/tex]
b) a bottle of wine be sold at $30 to realise maximum profit
c) the maximum profit that can be made by the producer is $2500
Step-by-step explanation:
The weekly demand curve of a local wine producer is p= 50-0.1q
p = price
q = quantity
Revenue function R =Price \times Quantity
R=(50-0.1q)q
[tex]R=50q-0.1q^2[/tex]
Cost function: c= 1500+ 10q
Profit function=R(x)-C(x)
Profit function= [tex]50q-0.1q^2-1500-10q[/tex]
Profit function= [tex]40q-0.1q^2-1500[/tex] ----1
We have q = 500 - 10 p using p = 50 − 0.1q
[tex]P=-0.1 (500 - 10 p)^2 + 40 (500 - 10 p)- 1500\\P= -10 p^2 + 600 p - 6500[/tex]
General quadratic equation:[tex]ax^2+bx+c=0[/tex]
On comparing
a = -0.1 , b = 40 , c = -1500
Maximum Profit is at q = [tex]\frac{-b}{2a}=\frac{-40}{2(-0.1)}=200[/tex]
To find price must a bottle of wine be sold to realise maximum profit
p= 50-0.1q
p= 50-0.1(200)=30
Substitute the value of q in profit function(1) get the maximum profit
So, Profit function= [tex]40\left(200\right)-0.1\left(200\right)^{2}-1500=2500[/tex]
Hence
a)the weekly profit as a function of price is[tex]P=-10 p^2 + 600 p - 6500[/tex]
b) a bottle of wine be sold at $30 to realise maximum profit
c) the maximum profit that can be made by the producer is $2500
Find the measure of the exterior angle.
64
76
Answers
Using the exterior angles theorem, the measure of the exterior angle(k) is 140 degrees.
How to find the exterior angles of a triangle?The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
The two remote interior angles are 76 degrees and 64 degrees.
Therefore,
76 + 64 = k
k = 140 degrees.
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Simple geometry that I don’t know cuz I’m a dum dum
Answers
you do 2(5x-5)=(6x+50) and simplify, then you get x=15.
y=7
Once again, you do (5y+5)=(7y-9) and simplify. you get y=7.
please leave a thanks and mark brainliest if you can
Jill babysat for 7 1/2 hours and earned $63.75. How much money does she earn per hour?
Answers
Answer:
$8.50 per hour
Step-by-step explanation:
63.75 / 7.5 = 8.5
You are trying to find the distance AB between two points on either side of a river. You
measure the following distance:
Answers
Answer:32ft
Step-by-step explanation: I missed this as well, ED and AB are the same and if you don’t read you skip over the fact ED equals 32ft. Since ED and AB equal eachother it would be 32ft
The value of AB = 32 feet
What is congruency ?Congruent shapes are shapes that are exactly the same. The corresponding sides are the same and the corresponding angles are the same.
Given:
EC= 32 ft = BC
DC= 28 ft =AC
<ECD= <BCA
So, In ΔECD and ΔBCA
EC = BC
DC= AC
<ECD= <BCA
Thus, by SAS ΔECD ≅ ΔBCA
Hence, by CPCT : ED= BA = 32 ft.
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Left after party and you want to split it into four pieces what fraction of the original cake is each slice? A) 1/8. B) 1/4. C) 1/2. D) 2/1
Answers
Answer:
1/4
Step-by-step explanation:
because you are spitting it into fourths
Answer:
1/8
Step-by-step explanation:
express 52/9 as a decimial
Answers
Hey there!
In order for you to convert/ express a fraction as a decimal you SHOULD:
DIVIDE the numerator (the TOP number) from the denominator (the BOTTOM number)
Now that we have that guide/side note we can answer your question, shall we?
52/ 9 = 5.777778
If you’re rounding to your Answer, then it’ll be: 5.78
Overall answer is: 5.777778 ✅
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
pls help me with this
Answers
Answer:
I would say 3
Step-by-step explanation:
Most reasonable
In order to become a member of the library-all-star-members club, there is a $40 sign-up fee and a $2monthly fee. Write an equation in slope- intercept form that models this situation
Answers
Answer:
y = 2x + 40
Step-by-step explanation:
Y is the total cost.
2 is dollars per month.
X is the number of months.
40 is the sign up fee.
Answer:
2x+40
Step-by-step explanation:
- |4x+10|-7=-14 solve for x
Answers
Answer:I forgot how to solve that
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!
Answers
Answer:
4
Step-by-step explanation:
9x - 5 = 7x + 3
2x = 8
x = 4
x = -7y; 2x - 8y = 22
Answers
Answer:
(7; -1)
Step-by-step explanation:
Hi there!
Here is a solution:
If x=-7y then -14y-8y=22 => y=-1 and x=7
Hope this helps)
Have a nice day!
need help with this
Answers
Answer:
Slope-int form: y = 3x+5
Standard form: y - 3x = 5.
Step-by-step explanation:
(reminder: slope-intercept form is expressed as y=mx+b, and standard form is expressed as ax+bx=c.)
Since the slope is 3, the coefficient of x is also 3, which makes the equation y=3x.
But the y coordinate of the equation at x = -2 is -6, so we need to add 5 to the end of the equation, leaving you with:
y=3x+5.
To convert it to standard form, subtract 3x from both sides:
y - 3x = 5.
I hope this helped you.
4. Landon is cooking soup. He has 15 pinan of vegetable broth, 19 pints of milk, and 14 pints of tomato juice. How many gallons does Landon have, if 1 gallon = 8 pints? 6 gallons.
Answers
Answer:
6 gallons
Step-by-step explanation:
1) add 15 and 19 to get 34
2) then add 34 and 14 to get 48
3) then divide 48 by 8 to get 6
1 1 1
-x -xxxx -x 1 1
=
11 1 1 1
x 1 1 1 1 1
X
1
1
The model represents an equation. What value of x makes the equation true?
A)
3
4
B)
9
2
3
4
D)
9
2.
Answers
Answer:
its d or b
Step-by-step explanation:
Answer:i think it is d
Step-by-step explanation:
Solve sx+tx=r for x?
Answers
Answer:
x= r/s+t
Step-by-step explanation:
if PQ = 5 and QR = 17 , find PR
Answers
PR would be 17.72 as the hypotenuse, according to the measurements, is 17.72
If angle knm=(8x-5) and angle mnj=(4x-19) find the measure of angle knm?
Answers
45 ahuevo que ssik 45
|8x+3|=12 what’s the answer
Answers
Answer:
x= 9/8 , -15/8
Step-by-step explanation:
Answer:
x = 1.125 , x = 9/8
Step-by-step explanation:
|8x+3| = 12
=> 8x + 3 = 12
=> 8x = 12-3 = 9
=> 8x = 9
=> x = 9/8
As 9/8 is a fraction let's make it a decimal.
9/8 * 125/125 (To make it into a power of ten so that we can convert)
=> 1125 / 1000
=> 1.125
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
what is 4 divided by 6
Answers
Pls mark me brainliest
An amusement park charges $20 to enter the
park and an additional fee for each time a guest
rides a roller coaster. Emily rode 5 times on a
roller coaster. Her total payment was $40.
Shaheem rode 7 times on a roller coaster. What
was his total payment?
Answers
Answer:
Shaheem paid $76 as his total.
Step-by-step explanation:
He paid $20 to get in, Emily paid $40 for 5 rides, and if you divide that to get the payment for one ride which is $8. So you multiply 8 by 7 because 7 is how many rides he rode which equals to 56, plus 20(his enter fee) would be $76.