John has an account balance of $20. He receives his weekly paycheck
for work at his part-time job in the amount of $110. He can't find
a bike he wants, so he buys some comic books for $40. Then John
finds his dream bike priced as shown. If he buys the bike now, what
will his account balance be?
Step-by-step explanation:
Accounts balance=$20
Part time job salary=$110
Total balance
\begin{gathered}\\ \sf\longmapsto 110+20=130\$\end{gathered}
⟼110+20=130$
Now
Price of comics=$40
Price left for bike
\begin{gathered}\\ \sf\longmapsto 130-40=90\$\end{gathered}
⟼130−40=90$
After buying the dream bike, John's account balance will be -$110.
Let's calculate John's account balance after each transaction step by step:
1. Initial balance: $20
2. Weekly paycheck: +$110
Account balance = $20 + $110 = $130
3. Buys comic books: -$40
Account balance = $130 - $40 = $90
4. Buys dream bike: -$200
Account balance = $90 - $200 = -$110
After buying the dream bike, John's account balance will be -$110. This means he will have a negative balance of $110, indicating that he owes the bank or whoever manages the account. It's important to be cautious with negative balances as they can result in overdraft fees or other penalties depending on the account type and the bank's policies.
To know more about account:
https://brainly.com/question/6975956
#SPJ3
A board of wood measures 58 inches thick. If you stack the boards 6212 inches high, how many boards are in the stack
Answer:
107 full and .103 of another
Step-by-step explanation:
6212/58 =
Josephine enlarged a picture using a photocopier the original photo was 3.5 inches by 5 inches the copy was 8.5 by 12.5 inches . What is the scale factor of the dilation?
Answer:
the answer is 1 : 2.4 because for every 1 inch on the original image there are 2.4 inches on the modified image.
Step-by-step explanation:
Step 1:
Measure the change in X and Y of a single length of the original image.
X1 = 3.5
Y1 = 5
Step 2:
Measure the change in X and Y of the same length on the modified image.
X2 = 8.5
Y2 = 12.5
Step 3:
use formula SF = X2/X1 = Y2/Y1
(SF = Scale Factor Dilation)
(X2 and Y2 = change in X and Y of the same length on the modified image.)
(X1 and Y1 = change in X and Y of a single length of the original image.)
X2 = 8.5
8.5/X1
X1 = 3.5
8.5/3.5
8.5/3.5 = 2.4
2.4
1 : 2.4
Please help due tomorrow
The scaled factor is 3 for all of them.
The expression 1/x+y
is equal to which quantities?
(1/x) + y
1/x + y
1/(x + y)
The equivalent form of the given expression is 1 /(x + y)
The given expression:
[tex]\frac{1}{x+y}[/tex]
To find:
the equivalent form of the expression:The equivalent form of the expression can be written as follows:
[tex]\frac{1}{x+y} = 1 /(x + y)[/tex]
For example, if x = 1 and y = 2, the inverse of the expression can be written as;
[tex]\frac{1}{x + y} = \frac{1}{(1 + 2)} = \frac{1}{3}[/tex]
Also, if x = 2 and y = 3, the inverse of the expression can be written as;
[tex]\frac{1}{x + y} = \frac{1}{(2 + 3)} = \frac{1}{5}[/tex]
Thus, the equivalent form of the given expression is 1 /(x + y)
Learn more here: https://brainly.com/question/15469690
Maggies brother is 4 years younger than three times her age the sum of there ages is 28 how old is maggie
Answer:
24
Step-by-step explanation:
What is a rational number between -1/5 and -2/5?
Answer:
-1/4
Step-by-step explanation:
-0.25
Is [tex]2 \frac{2}{3} [/tex]
a rational number
Someone please help me with 13 and 14 I’m really struggling
Answer:
Step-by-step explanation:
BRAINIEST TO WHOEVER RIGHT
Which of the equations is shown by the shaded area of the model? A. 0 . 29 + 0 . 37 = 0 . 63 B. 0 . 34 + 0 . 23 = 0 . 57 C. 0 . 36 + 0 . 27 = 0 . 63 D. 0 . 24 + 0 . 33 = 0 . 57
Answer:
is there anyway you could show the Shaded area of the model because I can't answer it without is that part of the picture showing. Thank you
HW #3 review
I will give brainliest to whoever gets it right
Hi there!
The numbers you have written there are correct.
[tex]-5<x<0[/tex] is true for any value of x that is greater than -5 or less than 0.
When a number is less than 0, we know that it has to be negative.
However, it cannot be more negative than -5. It cannot be -5 either.
So, x could be -1, -2, -3, -4, -1/2, -2.3, -4.9, the list goes on.
I hope this helps!
For the following set of sample data: {10, 50, 60, 70, 75 79, 85, 90, 91, 95, 100, 110} Find the sample mean.
Answer:
76.25
Step-by-step explanation:
what is the value of the 2 in 3,261? the 3? the 1?
Answer:
The 2 is 200
The 3 is 3000
The 1 is 1
And if needed
The 6 is 60
Step-by-step explanation:
2 is in hundredths place
3 is in thousand place
6 is in tens place
1 is in ones place
hope this helps
simplify. (3st)^2
a.6s^2t*2
b. 9s^2t^2
c. 3st^2
d. 2s^2t^2
Answer:
b. 9s^2 t^2
Step-by-step explanation:
If (x*y) ^ 2 = multiple of x and y then power 2
(x * y) ^2 is equal to (x^2 * y^2)
That makes 9s^2t^2
Answer:
Option B. 9s^2t^2 is the correct answer.
Step-by-step explanation:
I just completed it.
order these numbers in ascending order. -11, 11.8 9.42 ,10
Answer:
-11,9.42,10,11.8
-11<9.42<10<11.8
Answer:
I think the answer is
-11, 9.24 ,10, 11.8
I need help solving this question please with an explanation.
Answer:
if he work 3 hours and earn 40.50
then the money he earn per hour is 40.50/3=13.5 ans
Jasmine bought 3500g of flour. She used 3/7 of it to bake some tarts and 700g of it to bake a cake. Find the ratio of the amount of flour used for baking the cake to the amount of flour used for baking the tarts to the remaining amount of flour.
Answer: 15:13
Step-by-step explanation: 7/7=3500
1/7=3500÷7=500500x3=15001500+700=22003500-2200=13001500:130015 : 13 (if there is a need to simplify the ratio)A waiter receives tips from each customer. On average, the tip is 15% of the customer’s bill. At this rate, which of the following is closest to the tip the waiter can expect when a customer has a bill that is $78.20?
A) $8.00
B) $10.00
C) $12.00
D) $14.00
(Pls add in the step-by-step explanation)
Answer:
C) $12.00
Step-by-step explanation:
Take the price of the bill
78.20
Find 10 %
78.20 * .1
7.82
Take half ( which is 5%)
3.91
Add the two amounts together
7.82+3.91
11.73
Rounding to the nearest dollar
12.00
OR
Round the bill to 80.00
Take 15%
80 * .15
12.00
Need help ASAP PLEASE!!!
Answer:
x=1
Step-by-step explanation:
3/2+1/2x=2x
or,3*1+1*1x/2=2x
or,4x/2=2x
or,4x-2x=2
or,x=2/2
so,x=1
Simplify the following expression. 2p – 10 – 4p – 7
Answer:
the answer is-2p-3
hope is helpful
Answer:
2p – 10 – 4p –7
–2p –17
I hope I helped you^_^
What is the relationship between the 6s in 675,002 and 385,621
Answer:
The value of 6 in 675,002 is 1,000 times greater than the value of 6 in 385,621.
Find all points on the curve x^2y^2+xy=2 where the slope of the tangent line is −1
Differentiate both sides with respect to x and solve for the derivative dy/dx :
[tex]\dfrac{\mathrm d}{\mathrm dx}\left[x^2y^2+xy\right] = \dfrac{\mathrm d}{\mathrm dx}[2] \\\\ \dfrac{\mathrm d}{\mathrm dx}\left[x^2\right]y^2 + x^2\dfrac{\mathrm d}{\mathrm dx}\left[y^2\right] + \dfrac{\mathrm d}{\mathrm dx}\left[x\right]y + x\dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ 2xy^2 + x^2(2y)\dfrac{\mathrm dy}{\mathrm dx} + y + x\dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ (2x^2y+x)\dfrac{\mathrm dy}{\mathrm dx} = -2xy^2-y \\\\ \dfrac{\mathrm dy}{\mathrm dx} = -\dfrac{2xy^2+y}{2x^2y+x}[/tex]
This gives the slope of the tangent to the curve at the point (x, y).
If the slope of some tangent line is -1, then
[tex]-\dfrac{2xy^2+y}{2x^2y+x} = -1 \\\\ \dfrac{2xy^2+y}{2x^2y+x} = 1 \\\\ 2xy^2+y = 2x^2y+x \\\\ 2xy^2-2x^2y + y - x = 0 \\\\ 2xy(y-x)+y-x = 0 \\\\ (2xy+1)(y-x) = 0[/tex]
Then either
[tex]2xy+1 = 0\text{ or }y-x=0 \\\\ \implies y=-\dfrac1{2x} \text{ or }y=x[/tex]
In the first case, we'd have
[tex]x^2\left(-\dfrac1{2x}\right)^2+x\left(-\dfrac1{2x}\right) = \dfrac14-\dfrac12 = -\dfrac14\neq2[/tex]
so this case is junk.
In the second case,
[tex]x^2\times x^2+x\times x=x^4+x^2=2 \\\\ x^4+x^2-2 = (x^2-1)(x^2+2)=0[/tex]
which means either
[tex]x^2-1 = 0 \text{ or }x^2+2 = 0 \\\\ x^2 = 1 \text{ or }x^2 = - 2[/tex]
The second case here leads to non-real solutions, so we ignore it. The other case leads to [tex]x=\pm1[/tex].
Find the y-coordinates of the points with x = ±1 :
[tex]x=1 \implies y^2+y=2 \implies y=-2 \text{ or }y=1 \\\\ x=-1\implies y^2-y=2\implies y=-1\text{ or }y=2[/tex]
so the points of interest are (1, -2), (1, 1), (-1, -1), and (-1, 2).
Find the perimeter and area of a rectangle of cardboard measuring 11.3 cm by 14.8 cm.
Area of rectangle = Length * Width
Length = 11.3 cmWidth = 14.8 cmArea = 11.3 cm * 14.8 cm
Area = 167.24
PerimeterPerimeter of rectangle = 2 (L + W)
Length = 11.3 cmWidth = 14.8 cmPerimeter = 2 (11.3 cm + 14.8 cm)
Perimeter = 2 (26.1 cm)
Perimeter = 52.2 cm²
Final AnswerArea of rectangle is 167.24 cm²
Perimeter of rectangle is 52.2 cm²
7(6-4) distribitive property
Answer:
14
Step-by-step explanation:
Multiply 7 and 6, then 7 and -4: 42-28=?
Subtract: 42-28=14
5 1/6•(-2/5)=
Answer as a fraction
Tanner earns 12.50 per hour at his after school job he worked 11.75 hours this week how much did tanner earn this week? Pls do step by step
Answer:
He earned $146.875
Step-by-step explanation:
12.5 an hour for 11.75 hours
So you just do 11.75 x 12.5 which is 146.875
Answer:
146. 88
Step-by-step explanation:
12.50×11.75
=146.88
You have two cards with a sum of (-12) in your hand.
Add two more cards but the total of cards stay the same
Answer:
you could have a 6 and then a -6
or a 3 and a -3
or 0 and 0
have 2 cards with the same number but one is negative
Step-by-step explanation:
17/3x + 17 - 2/3x - 15
what is the mid point of (27,3) and (18,-1)
Answer:
(22.5 , 1)
Step-by-step explanation:
Midpoint formula= [tex]\frac{x^1+x^{2} }{2} +\frac{y^{1} +2^{2} }{2} =Midpoint[/tex]
[tex]\frac{27+18}{2}[/tex]=22.5
3+-1=2
2/2=1
So, midpoint is (22.5 , 1)
You can also graph it out and use Pythagorean theorem but that would overcomplicate the problem.