1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dedylja [7]
3 years ago
5

Janet's paycheck was $248.60. She put 1/4 of her paycheck into a checking account and 1/5 of what was left to buy dinner for her

family. How much money does she have remaining from her paycheck? Show Work!
Mathematics
1 answer:
jekas [21]3 years ago
6 0

Janet has remaining $ 149.16 in her paycheck

<h3><u>Solution:</u></h3>

Given that Janet's paycheck was $248.60

She put 1/4 of her paycheck into a checking account

Therefore amount put into checking account is given as:

\text {amount put into checking account }=\frac{1}{4} \times 248.60=62.15

So she spent $ 62.15 into checking account

Now the remaining paycheck amount left is:

remaining paycheck amount left = 248.60 - 62.15 = 186.45

Therefore remaining paycheck amount left is $ 186.45

Now she spent 1/5 of what was left to buy dinner for her family

\text { Amount spend on dinner }= \frac{1}{5} \times 186.45 = 37.29

So she spent $ 37.29 on dinner

<u><em>Now the remaining paycheck amount left is:</em></u>

remaining paycheck amount left = 186.45 - 37.29 = 149.16

Thus Janet has remaining $ 149.16 in her paycheck

You might be interested in
100m In 9 3/5 seconds
Nostrana [21]

Answer:

Speed = 10.42 m/secs

Step-by-step explanation:

We have been given with:-

Distance = 100m

Time taken = 9\frac{3}{5} secs

1) First, we need to convert the mixed number 9\frac{3}{5} to an improper fraction.

<u>Method to convert a mixed number to an improper fraction</u>

<u>a\frac{b}{c} = \frac{c*a+b}{c}</u>

Applying the above formula, we get

9\frac{3}{5} = \frac{5*9+3}{5}

= \frac{45+3}{5}

= \frac{48}{5}

2) Now we need to convert \frac{48}{5} into a decimal by dividing 48 by 5.

We get time taken as 9.6 secs

3) We need to find the speed using the below formula:-

Speed = \frac{Distance}{Time taken}

Plugging the values of Distance and Time taken into the formula, we get

Speed = \frac{100}{9.6}

= 10.416 m/secs

4) Upon rounding it to the nearest hundredth, we get

Speed = 10.42 m/secs

4 0
3 years ago
What is an equation of the line that passes through the point (-6,-8) and is parallel to the line x-2y=6?
vfiekz [6]

Answer:

y=\frac{1}{2}x-5

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
  • Parallel lines always have the same slope and different y-intercepts

<u>1) Determine the slope (m)</u>

x-2y=6

Rearrange this equation into slope-intercept form (this will help us find the slope)

Subtract x from both sides

x-2y-x=6-x\\-2y=-x+6

Divide both sides by -2

y=\frac{1}{2} x-3

Now, we can identify clearly that the slope of the given line is \frac{1}{2} since it's in the place of m. Because parallel lines always have the same slopes, the line we're currently solving for would therefore have a slope of \frac{1}{2} as well. Plug this into y=mx+b:

y=\frac{1}{2}x+b

<u>2) Determine the y-intercept (b)</u>

y=\frac{1}{2}x+b

Plug in the given point (-6,-8)

-8=\frac{1}{2}(-6)+b\\-8=-3+b

Add 3 to both sides to isolate b

-8+3=-3+b+3\\-5=b

Therefore, the y-intercept is -5. Plug this back into y=\frac{1}{2}x+b:

y=\frac{1}{2}x-5

I hope this helps!

7 0
3 years ago
Can someone help please ! Answer correct for brainliest and also get a thanks ! :)
Alona [7]
The standard deviation of the set is 5.2

To find standard deviation, we take the square root of the variance.
3 0
3 years ago
John buys 3 pounds of cherries and 2 pounds of bananas he pays a total of $24.95 the bananas cost $6.50 less per pound than the
Murrr4er [49]

John will pay $8.68 for the combined cost of 1 pound of banana and 1 pound of cherries.

Let: b=cost of banana per pound and c=cost of cherries per pound

Equation 1: For 3 pounds of cherries and 2 pounds of bananas, John pays a total of $24.95.

3c + 2b =$24.95

Equation 2: The cost of bananas is $6.50 less than a pound of cherries.

b= c - $6.50

We can substitute the second equation into the first one to solve for the cost of cherries per pound.

3c + (2)(c-$6.50)= $24.95

3c + 2c -$13.00 = $24.95

5c = $24.95 + $13.00

c = $7.59

Substituting the value of c to the second equation to solve for b.

b= $7.59 - $6.50 = $1.09

The combined cost of 1 pound of banana and 1 pound of cherries is $1.09 + $7.59 or $8.68.

For more information regarding the system of equations, please refer to brainly.com/question/25976025.

#SPJ4

4 0
1 year ago
Please help i will give brainliest
RideAnS [48]
The answer would be C because it’s the only fraction that does not equal 0.4
8 0
3 years ago
Other questions:
  • Find the mising measure
    6·2 answers
  • a ladder leans against the side of a house makes a angle of 60° with the ground. the foot of the ladder is 7 ft from the house.
    9·1 answer
  • How would the shape of the distribution change if the salesman decides to also deal in cars priced under $5,000 and in cars pric
    12·1 answer
  • Find two positive numbers satisfying the given requirements. The product is 216 and the sum is a minimum. (No Response) (smaller
    11·1 answer
  • Graph f(x)=−0.5x+3. Use the line tool and select two points to graph the line.
    8·2 answers
  • Zareena has 24 minutes to work on her math homework and each problem is taking g her 2/3 of a minute on average to complete whic
    12·1 answer
  • A tepee has a base of 19.5 feet and a height of 16.8 feet. The tepee can hold approximately ___ cubic feet of air.
    9·1 answer
  • What are the x-intercepts of the function f(x) = –2x^2 – 3x + 20?
    7·1 answer
  • Why was one trinomial jealous of the other trinomial?
    11·1 answer
  • What is the volume of a cone with a height of 27 inches and a radius of 11 inches?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!