John took all his money from his savings account. He spent 198 on a radio and 4/12 of what was left on presents for his friends. Of the money remaining, John put 2/9 into a checking account and the last remaining 980 was left to charity. How much money did John originally have in his savings account?
Answer:
John had $2088 originally in his savings accounts.
Step-by-step explanation:
Let John had $x originally in his saving account
He spent $198 on a radio. The remaining money = x - $198
4/12 of what was left, he spent on presents for his friends. Remainig money = x - 198 - 4/12*(x-198)
= (1 - 4/12) of (x-198)
= 2/3 of (x-198)
John then put 2/9 if his remaining money into a checking account.
Now, the remaining money = 2/3*(x-198) - 2/9 of (x-198)
= (1 - 2/9) * 2/3*(x-198)
= 7/9 * 2/3*(x-198)
= 14/27(x-198)
Money left with him = $980
14/27(x-198) = $980
x - 198 = $980 * 27 / 14
x - 198 = 1890
x = 1890 + 198
x = 2088
Hence, John had $2088 originally in his savings accounts.
(-9.5) to the power of 0
3. A new a bank customer with $3,000 wants to open
a money market account. The bank is offering a
simple interest rate of 1.9%
a. How much interest will the customer earn in 20 years?
Answer:
In 20 years, the customer earns 1330
Step-by-step explanation:
I =Prt
the formula for simple interest
P= 3000
r = 1.9% (0.019)
t = 20 years
(3500)(0.019)(20)= 1330
Lois Lane leaves Metropolis driving 50 km/h. Three hours later, Superman leaves Metropolis to catch up to her, flying at 300 km/h.
When does Superman catch up with Lois?
Superman will catch up ____ hours after Lois left Metropolis.
Answer:
0.6 hours
Step-by-step explanation:
50t=300(t-3)
50t= 300t - 900
-250t=-900
t=3.6
dont forget to subtract supermans time as well
3.6-3= 0.6
Answer:
0.6 hours
Step-by-step explanation:
674
x 38
Multiply by the ones.
Multiply by the tens.
+ Add the partial products.
+
Answer:
25612
Step-by-Step Explanation:
Simple multiplication
If parallelogram ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A′ lie? Parallelogram formed by ordered pairs A at negative 4, 1, B at negative 3, 2, C at 0, 2, D at negative 1, 1. (−4, 1) (1, −1) (1, 1) (−4, −1)
Answer:
(-4, 1)
Step-by-step explanation:
Answer:
(-4,1)
Step-by-step explanation:
I took the quiz and got it right
Are rational numbers closed under squaring?
Answer:
The integers are "closed" under addition, multiplication and subtraction, ... The rational numbers are "closed" under addition, subtraction, and multiplication
Step-by-step explanation:
There are 20 teachers and 705 students in Corey's school. What is the ratio of teachers to students?
Answer:
4:141
Step-by-step explanation:
first, wright out a ratio with what's given
20(teachers):705(students)
next, simplify the ratio by dividing both sides by the gcf
20: 705
20/5 : 705/5
4 : 141
0
What is the value of 12?
Answer:
1
Step-by-step explanation:
[remember: any number raised to the power of 0 is 1]
∴ 12^0 = 1
hope it helps you!!
place the items in order from lowest to highest degree of internal organization
stomach
digestive system
epithelial stomach cell
stomach lining tissue
Answer:
Simplest
1)Epithelial stomach cell
2)Stomach lining tissue
3)Stomach
4)Digestive system
Most complex
Answer:
1)Epithelial stomach cell
2)Stomach lining tissue
3)Stomach
4)Digestive system
I hope this helps
What is the answer I don’t understand how to do it
Answer:
= -22
Step-by-step explanation:
In a simple way to say it, all you have to do is add.
Remember that two negatives being added together will remain a negative.
Think of a number line, -11 would be on the left side of the 0. If you subtract another 11, you move 11 spaces more to the left. This gives you -22.
Or simply add the 11 and then add the negative sign next to it.
-(11+11)= -22
Hope this helps! :)
What is the equation of this graph?
A. y = 2x + 7
B. y = -2x + 7
C. y = -2/7x + 7
D. y = -7/2x + 7
E. y = -7/2x + 2
What is the solution to
−(6m+8) =4(17−m)
Answer:
[tex]\boxed{m = -38}[/tex]
Step-by-step explanation:
[tex]-(6m+8) =4(17-m)[/tex]
→ Expand brackets
[tex]-6m-8=68-4m[/tex]
→ Add 8 to both sides to collect the whole numbers
[tex]-6m = 76-4m[/tex]
→ Add -4m to both sides to collect the m terms
[tex]-2m=76[/tex]
→ Divide both sides by -10 to isolate m
[tex]m=-38[/tex]
which is a unit rate? plis help :c
Answer:
6 hours : 1 book
Step-by-step explanation:
A unit rate is a rate with 1 in the denominator. If you have a rate, such as a price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.
Please help!! I don’t know it
715,000___7.15 x 10^5
>
<
=
6^9 divided by (6^3)^2
Answer:
6^9 over 6^9 is 1
Matter is in a liquid state when its temperature is between its melting point and its boiling point. Suppose that some substance has a melting point of -36.14 degrees Celsius and a boiling point of 324.84 degrees Celsius . What is the range of temperatures in degrees Fahrenheit for which this substance is not in a liquid state?
Answer:
i. When the temperature is above [tex]616.712^{o}[/tex]F, it changes to gas.
ii. When the temperature is below [tex]-33.052^{o}[/tex]F, it changes to solid.
Step-by-step explanation:
Matter generally exists in either a solid, liquid or gaseous form. With each phase having a certain range of temperature.
Temperature scale of a given substance can be either in Celsius, Fahrenheit or Kelvin. And conversion from one scale to another can be achieved. Example, Celsius scale can be converted to Fahrenheit by:
F = [tex]\frac{9}{5}[/tex] θ + 32
where: F is the equivalent temperature in Fahrenheit, θ is the value of temperature in degree Celsius.
Given that: melting point of the substance = [tex]-36.14^{o}[/tex]C
⇒ F = [tex]\frac{9}{5}[/tex] x [tex]-36.14^{o}[/tex] + 32
= [tex]-33.052^{o}[/tex]F
The boiling point = [tex]324.84^{o}[/tex]C
F = [tex]\frac{9}{5}[/tex] x [tex]324.84^{o}[/tex] + 32
= [tex]616.712^{o}[/tex]F
The melting point of the substance is [tex]-33.052^{o}[/tex]F, and boiling point is [tex]616.712^{o}[/tex]F.
Therefore, the range of temperatures for which the substance is not in a liquid state are:
i. When the temperature is above [tex]616.712^{o}[/tex]F, it changes to gas.
ii. When the temperature is below [tex]-33.052^{o}[/tex]F, it changes to solid.
I need this today and in a few minutes not hours!!!
Answer: I think its D if not its C im sorry if its wrong!
Step-by-step explanation:
Answer:
[tex]the \: \: answer \: \: of \: \: this \: \: question \: \: is \: \:1 \frac{17}{25} [/tex]
A. 1 17/25 is the correct answer of this question.Thank you ☺️☺️
The value of 30 - (2 - 4) ÷ (-2) is _____.
-16
31
-14
29
Answer:
29.
Step-by-step explanation:
Solve for a
3a +1=4. With a 7 under it
Answer:
a=9
Step-by-step explanation:
(3a+1)/7=4
This deals with linear equations with one unknown.
Overview
Steps
Terms and topics
1 result(s) found
a=9
See steps
Step by Step Solution:
More Icon
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
(3*a+1)/7-(4)=0
Step by step solution :
STEP
1
:
3a + 1
Simplify ——————
7
Equation at the end of step
1
:
(3a + 1)
———————— - 4 = 0
7
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 7 as the denominator :
4 4 • 7
4 = — = —————
1 7
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(3a+1) - (4 • 7) 3a - 27
———————————————— = ———————
7 7
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
3a - 27 = 3 • (a - 9)
Equation at the end of step
3
:
3 • (a - 9)
——————————— = 0
7
STEP
4
:
When a fraction equals zero
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
3•(a-9)
——————— • 7 = 0 • 7
7
Now, on the left hand side, the 7 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
3 • (a-9) = 0
Equations which are never true:
4.2 Solve : 3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
4.3 Solve : a-9 = 0
Add 9 to both sides of the equation :
a = 9
One solution was found :
a = 9
Hope this helps! Please mark Brainliest!
us
How many milliliters are in
12 teaspoons?
1 tsp = 5 mL
12 tsp = [?] mL
Enter
How many tens do you see?4.There are 4 tens and how many ones?0.4 tens = 0 ones
A number x minus 7 is at most 22?
10. 2x =3 - 4y
Contains the point (-4,3)
Answer:
I don’t know what you’re trying to find but that equation does not contain the point.
Step-by-step explanation:
You start at (-3,0). You move down 2 units and left 1 unit. Where do you end?
Answer: should end up on (-4 , -2)
Step-by-step explanation:
help me please !! ❤️❤️
Answer:
Sorry, I don't understand what m and a||b means. If you are able to explain it to me, I can follow up for this question. much appreciated, Accqty.
Step-by-step explanation:
What is the x-intercept ?
Answer:
-3
Step-by-step explanation:
explain and give an example of how "power to a power" rule is different from "Multiplying powers" rule.
4. 700 J of work is used to push an object for 12 seconds. What is the power of this machine?
Answer:
58.3333333333
Step-by-step explanation: