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.
Learn more about arithmetic here:
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Related Questions
The average speed of a plane was 500 kilometers per hour . How long did it take the plane to travel 100 kilometers
Answers
Answer:
12 minutes (1/5 hour)
Step-by-step explanation:
Speed is 500 kmph.
Distance is 100 km.
Time = Distance/Speed = 100 km/500 kmph = 1/5h = 12 minutes.
© MP.1 Make Sense and Persevere
The Environmental Club's goal is to collect
9,525 cans by the end of four months. How
can you find the number of cans the club
needs to collect in September to meet their
goal? How many more cans do they need?
Month
DATA
June
July
Augusthow many more cans did they need
Answers
Answer:
[tex]September = 2697[/tex]
Step-by-step explanation:
Given
[tex]June = 1,898[/tex]
[tex]July = 2,643[/tex]
[tex]August = 2,287[/tex]
[tex]Expected = 9,525[/tex]
Required
Number of cans in September
First, we need to determine the total collected can from July to August.
[tex]Total = 1898 + 2643 + 2287[/tex]
[tex]Total = 6828[/tex]
September is then calculated as follows:
[tex]September = 9525 - 6828[/tex]
[tex]September = 2697[/tex]
Hence:
2697 cans are still needed
Find a pattern for the sequence below.
1, 4, 9, 16, 25, ...
Answers
Answer:
add 3, add 5, add 7, add 9
Step-by-step explanation:
1+3=4
4+5=9
9+7=16
16+9=25
add by odd numbers, for a simpler answer
4(2q - 3) = 8q - 12 | one solution, no solution, or many soulutons
Answers
Answer:
0
Step-by-step explanation:
8q-12=8q-12
0=0
Please do this if your smart please dont guess this is an important anwser
Answers
Answer:
J''(- 3, 3 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 90°
a point (x, y ) → (- y, x )
Thus J(1, 1 ) → J'(- 1, 1 )
Under a dilatation with scale factor 3, multiply each of the coordinates of J' by 3, that is
J'' = (3(- 1), 3(1)) = (- 3, 3 )
After a dilation, a figure becomes similar or congruent
Answers
Answer:
The figure becomes congruent
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answers
Answer:yz
Step-by-step explanation:
final answer is c= 24 degrees
Si el tamaño de una bacteria es 1,59 x 10-3 mm, ¿cuántos átomos de oxígeno caben a lo largo de ella? (Sabiendo que: el ancho de un átomo de oxígeno aprox. Es 4,804 x 10-9 cm).
Answers
An.
Step-by-step explanation:
what is 67-u=182 i got 249 and ik it is wrong
Answers
Answer:
Step-by-step explanation:
67 - u = 182
67 - 182 = u
-115 = u
The diagram at the right shows a path through a garden.
The approximate length of the path, p, can be found with the formula
[tex]} p^{2}[/tex] =[tex]8^{2}[/tex] + [tex]10^{2}[/tex]
Which of the following measures is closest to the length
of the path?
A. 10 m
B. 12 m
C. 13 m
D. 18 m
Answers
Answer: B about 13 m
Step-by-step explanation:
Calculate 8² = 64 and 10² = 100 Add to get 16
Then get √164 = =12.80624847
Round up to 13.
What is an
equation of the line that passes through the points (0, 2) and (5,8)?
Answers
Answer: y = 1.2x + 2
Step-by-step explanation:
slope = (8 - 2)/(5 - 0) = 6/5
y-intercept = (0, 2)
y = (6/5)x + 2
y = 1.2x + 2
Somebody help ...............................
Answers
I need HELP asap the teacher wants it do today PLEASE HELP
Answers
Answer:
i think Point C
Step-by-step explanation:
Because Point A is you walking to the bus stop-
Point B is u waiting at the bus stop-
And point C is u on the bus
Sorry if it didn't help :/
which of the following options is the decimal equivalent of 2 7/9
2.8
1.5
1.6
2.7 (The seven has a line over it)
Answers
Answer: 2 . (7)
Step-by-step explanation:2 7/9 equals to 2.(7)
It is, a so called, 'repeating' decimal
`~hope i helped~
because
7/9 is .7777777777
and .777777 + 2 = 2.7777777
56 equals 128 reduced by z
Write the sentence as an equation.
Answers
Answer:
56 = 128-z
Step-by-step explanation:
Answer:
128-z=58
z=70
Step-by-step explanation:
NEED HELP IM BEGGING YOU PLEASE !!!!!
Answers
Answer:
1.5t+2=4 and 2/3
1.5t=2 and 2/3
t= 1 and 7/9
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:
Step-by-step explanation:
From the given information:
a) To express the weekly profit as a function of price
Cost =C(q) = 1500 + 10q
Revenue = p×q = (50 − 0.1q)×q = 50q - 0.1q²
Revenue = 50q - 0.1q²
Weekly profit = Revenue - Cost
P(q) = (50q -0.1q²) - (1500 + 10q)
P(q)= -0.1 q² + 40 q - 1500
However, q = 500 - 10 p using p = 50 − 0.1q
P= -0.1 (500 - 10 p)² + 40 (500 - 10 p) - 1500
P= -10 p² + 600 p - 6500
b)
The price at which the bottle of the wine must be sold to realise a maximum profit can be determined by finding the derivative and then set it to 0
P' = 0
= -20p+600 = 0
20p = 600
p = 600/20
p = $30
c)
The maximum profit that can be made by the producer is:
P= -10(30)² + 600(30) - 6500
P = - 9000 + 18000 - 6500
P = $2500
Given A (-3, 4) and M(1, 2), find the distance AM
Answers
Answer:
[tex]d = 2\sqrt{5}[/tex]
Step-by-step explanation:
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Simply plug in the 2 coordinates into the distance formula to find distance d:
[tex]d = \sqrt{(1-(-3))^2+(2-4)^2}[/tex]
[tex]d = \sqrt{(1+3)^2+(-2)^2}[/tex]
[tex]d = \sqrt{(4)^2+4}[/tex]
[tex]d = \sqrt{16+4}[/tex]
[tex]d = \sqrt{20}[/tex]
[tex]d = 2\sqrt{5}[/tex]
find the y-intercept and slope of the function’s graph, and find the equation for the function using the table in the picture.
y- intercept:
slope:
equation:
Answers
m = (y2-y1)/(x2-x1)
m = (9-5)/(3-2)
m = 4
Substitute the values in y= mx + c,
5 = (4)(2) + c
5 = 8 + c
c = -3
Thus, the equation is y= 4x -3
The y intercept is -3 and the slope of line is 4 .
Then the equation of line will be : y= 4x -3
Given,
Points on x and y axis .
Standard equation of line :
y = mx + c
m = slope of line
c = y intercept
Now
Firstly find out the slope of line ,
m = (y2-y1)/(x2-x1)\
m = (9-5)/(3-2)
m = 4
Now to calculate the value of y intercept
Substitute the values in y= mx + c,
5 = (4)(2) + c
5 = 8 + c
c = -3
Thus, the equation is m = (y2-y1)/(x2-x1)
Know more about slope of line,
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I am almost bankrupt asking the same question but....
1)If (a^2+1)/a=12,find the value of a^3 +(1)/a^3
2)If y-(1)/y=7 find the value for (y^6-1)/y^3
Answers
Answer:
If you understand how I solved a you can do B. Keep at it!
Step-by-step explanation:
THIS IS THE 2ND TIME I SAY THIS PLZ HELP ME ASAP!!!!!!!!! THIS IS CONFUSING
Answers
Answer:
15
Step-by-step explanation:
i had this on a test
Which of the following is not a rational number
Answers
Answer:
c
Step-by-step explanation:
Which of the following equations is equivalent to 2x+y = 7?
a
y = -2x +7
Ob
y = 2x +7
y=2x-7
y=-2x-7
Od
Answers
Answer:
a,y=‒2x+7
Step-by-step explanation:
2x+y=7
y=7‒2x or y=‒2x+7
i think it is easy to understand
Add the following rational numbers -7.2 + (-4.28)
Answers
Answer:
-11.48
Step-by-step explanation:
-7.2 + (-4.28)
-7.2 - 4.28
-11.48
36 - (- 4) + 5 + (- 10) =
Answers
Answer:-370
Step-by-step explanation:
Answer: 35
Step-by-step explanation: 36−(−4)+5−10 =40+5−10
45-10=35 :) hope this helps!
need answer 4x+2+3x+3=180
Answers
Answer:
Step-by-step explanation:
4x + 2 + 3x + 3 = 180
7x + 5 = 180
7x = 175
x = 25
What is 3x+ x equal to?
Answers
Answer:
4x
Step-by-step explanation:
3 3/4 + 5/12
help me plz lol
Answers
Answer:
4 [tex]\frac{1}{6}[/tex]
Step-by-step explanation:
When adding fractions, you want to make the denominators of the fraction the same. To do this, we can multiply both the numerator and denominator of 3/4 by 3. When changing either a denominator or numerator in a fraction, you must do the same thing to the numerator as the denominator.
Now we have [tex]\frac{3\cdot3}{4\cdot3} = \frac{9}{12}[/tex]. To add 9/12 and 5/12, we keep the denominator the same, and add the numerators, getting [tex]\frac{9+5}{12} =\frac{14}{12}[/tex]. This is greater than 1, so we can take 12/12 from 14/12, and make it [tex]1 \frac{2}{12}[/tex]. If we then add 3, we get [tex]4 \frac{2}{12}[/tex], which simplifies to [tex]4 \frac{1}{6}[/tex]
PLZ HELP FOR A LOT POINTS!
Let f(x) represent the linear parent function.
Which descriptions match the given transformations?
Drag and drop the answers into the boxes.
1.) f(x+17)
2.) 17f(x)
f(x) is vertically stretched by a factor of 17.
f(x) is vertically compressed by a factor of 17.
f(x) is translated 17 units down.
f(x) is translated 17 units right.
f(x) is translated 17 units left.
PreviousNext
Answers
Answer:
Stretched vertically by a factor of 17 and translated 17 units left
Step-by-step explanation:
Answer:
1.) f(x)
is translated 17 units left.
2.) f(x)
is vertically stretched by a factor of 17.
Step-by-step explanation:
a sqaure tile has a width of 1/4 foot. how many tiles will fit end to end along a 4 foot wall
Answers
Answer:
16- this question is already here from other people! :-)
Step-by-step explanation: