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kirill115 [55]
3 years ago
12

Joan's gross pay is $400, from which $24.80 is deducted for FICA, $5.20 for Medicare, and $45 for income tax. What is her net pa

y?
$325
$400
$475
Mathematics
1 answer:
WITCHER [35]3 years ago
8 0
400 - 24.80 = 375.20
375.20 - 5.20 = 370
370 - 45 = $325
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Lincoln went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 250 mg of sodium and each
Ludmilka [50]
We can solve with a system of equations, and use c for the amount of cans of soup and f for the amount of frozen dinners.


The first equation will represent the amount of sodium. We know the (sodium in one can times the number of cans) plus (sodium in one frozen dinner times the number of dinners) is the expression for the total sodium. We also know the total sodium is 4450, so:


250c + 550f = 4450


The second equation is to find how many of each item are purchased:


c + f = 13


Solve for c in the second equation:


c = 13 - f


Plug this in for c in the first equation:


250(13-f) + 550f = 4450


3250 - 250f + 550f = 4450


300f = 1200


f = 4


Now plug the value for f into the second equation:


c + 4 = 13


c = 9


The answer is 9 cans of soups and 4 frozen dinners.


6 0
3 years ago
Read 2 more answers
A student is trying to solve the system of two equations given below: Equation P: a + b = 6 Equation Q: 4a + 2b = 19 Which of th
Marrrta [24]

Answer:

-4(a + b = 6)

Step-by-step explanation:

Given

a + b = 6

4a + 2b = 19

Required

Eliminate a

Multiply the first equation by -4

-4(a + b = 6)

Add to the second equation

-4(a + b = 6) + (4a + 2b = 19)

Solve brackets

(-4a -4b = -24) + (4a + 2b = 19)

Open bracket

-4a + 4a -4b  + 2b = -24 + 19

-4b  + 2b = -24 + 19

At this point, a has been eliminated;

From the list of given options, the option that answers the question is -4(a + b = 6)

8 0
4 years ago
68. If Fran can only pay $250 per month, what is the most expensive boat she can buy without a down payment?
damaskus [11]

Answer:

If she buys a boat without a down payment, then the affordable price is 5,700.

Step-by-step explanation:

Her bank charges 5% interest per year.

Let, payment = p,

p = 250(\frac{1-(1+\frac{0.05}{12})^-24}{\frac{0.05}{12}})

p = 5698.47

After round off p = 5700

3 0
3 years ago
F
dimulka [17.4K]

Answer:

A. The length is 3

B. angel T

C. The perimeter is 20ft

Step-by-step explanation:

They are congruent so there side leghths are the same.

3 0
3 years ago
The table below represents the displacement of a turtle from its nest as a function of time: Time (hours) x Displacement from ne
andriy [413]
Part A: The y-intercept is 5. If you look to the data, when x=0, y=5. This means that the turtle started off 5 miles away from its nest. (at 0 hours, the distance away from his nest was 5 miles)

Part B:Answer=22. Remember, if you take any two distinct points on a line, the slope of the line will be equal to the average rate of change. In short,  we're just looking for the slope between the ordered pairs (1,27) and (4,93). The formula for slope is:

slope= \frac{y_{2}- y_{1} }{ x_{2} - x_{1} } = \frac{93-27}{4-1}= \frac{66}{3}=22

The average rate of change between x=1 and x=4 is 22. The average rate of changed describes the rate at which miles is changing with respect the the change in hour.

Part C: Answer=10hours. Since by now we know both the slope and the y-intercept, lets write the equation in slope intercept form and then solve for 225 miles.

y=mx+b
y=22x+5
225=22x+5
subtract 5 from both sides
220=22x
divide both sides by 22
10=x
It would take 10 hours for the turtle to travel 225miles from it's nest.
4 0
3 years ago
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