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pashok25 [27]
2 years ago
8

Marie has 55 in her bank account and she would like to buy a video game system that cost 395. Marie save $60 for each hour she w

orks how many hours must you work to have enough money to buy the video game system? ​
Mathematics
1 answer:
irinina [24]2 years ago
6 0

Answer:

6 hours

Step-by-step explanation:

She already has $55, so we can subtract that from $395.

395-55 = 340

So now we can figure out how many hours she needs to work. We'll set up the problem like this, where x = the number of hours needed:

60x = 340

Divide each side by 60: x = 5.666(repeating decimal)

Rounding up to the nearest hour, Marie needs to work 6 hours.

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Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit
Ann [662]
Let
x--------> <span>the number of sandwich lunch specials sold
y-------> </span><span>the number of wrap lunch specials sold

we know that
2x+3y=1470

Part 1) </span><span>Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.

we know that
</span>the equation to slope-intercept form is of the form
y=mx+b
so
2x+3y=1470------> solve for y
3y=1470-2x-----> divide by 3 both sides
y=(-2/3)x+1470/3
y=(-2/3)x+490

the slope m=-2/3
the y-intercept is 490


Part 2) <span>Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.

</span><span>the slope is -2/3  and the y-intercept is 490

Plot the point (0,490)------>  the y-intercept.
With the slope count 3 squares to the right and 2 squares down and plot that point, which is (0+3,490-2)--------> (3,488)
Draw a line through the two points  

Part 3) </span><span>Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.

In function notation, the equation is:
f(x)=(-2/3)x+490
The graph of this function represents how the value of the function varies as the value of x varies. Looking back at the question context, this graph specifically represents how many wraps could have been sold at each number of sandwich sales, in order to maintain the same profit of $1470.</span><span>

Part 4) </span>Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology

using a graph tool
see the attached figure

Part 5) Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different

we have that
2x+3y=1593
3y=1593-2x--------> y=(-2/3)x+531
slope=(-2/3)
y intercept=531
therefore
similarities : same slope
differences : y intercepts are different.
<span>This is basically telling me that the lines are parallel lines because they have the same slope.
</span>
6) Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph. Show your work or explain how you determined the equations

Select two points on the line and write down their coordinates

Let
 A( 0,300)  B (450,0)
a) find the slope
m=(y2-y1)/(x2-x1)----> m=(0-300)/(450-0)----> m=-2/3
b) with the slope m=(-2/3) and the point A (0,300)
y-y1=m*(x-x1)-----> y-300=(-2/3)*(x-0)----> y=(-2/3)x+300

the answer Part 6) is
y=(-2/3)x+300

7 0
2 years ago
The data set represents the total number of people who bought bananas each hour at a grocery store.
balandron [24]
It's A. i just took the quiz.
6 0
2 years ago
Read 2 more answers
Amina used the quadratic formula to solve an equation. Her result shows two solutions that are complex numbers with imaginary pa
Mama L [17]

A quadratic equation has either two different real roots, one real root, or two conjugate complex roots (this is the case when the discriminant is negative, i.e. when you have no real roots).

Two conjugate complex roots have the same real part and opposite imaginary parts. So, the solutions to Amina's equation will be in this form:

a+bi,\ \ a-bi

For some a,b\in\mathbb{R},\ b\neq 0

6 0
1 year ago
A mechanical dart thrower throws darts independently each time, with probability 10% of hitting the bullseye in each attempt. Th
Arturiano [62]

Answer:

The probability of hitting the bullseye at least once in 6 attempts is 0.469.

Step-by-step explanation:

It is given that a mechanical dart thrower throws darts independently each time, with probability 10% of hitting the bullseye in each attempt.

The probability of hitting bullseye in each attempt, p = 0.10

The probability of not hitting bullseye in each attempt, q = 1-p = 1-0.10 = 0.90

Let x be the event of  hitting the bullseye.

We need to find the probability of hitting the bullseye at least once in 6 attempts.

P(x\geq 1)=1-P(x=0)       .... (1)

According to binomial expression

P(x=r)=^nC_rp^rq^{n-r}

where, n is total attempts, r is number of outcomes, p is probability of success and q is probability of failure.

The probability that the dart thrower not hits the bullseye in 6 attempts is

P(x=0)=^6C_0(0.10)^0(0.90)^{6-0}

P(x=0)=0.531441

Substitute the value of P(x=0) in (1).

P(x\geq 1)=1-0.531441

P(x\geq 1)=0.468559

P(x\geq 1)\approx 0.469

Therefore the probability of hitting the bullseye at least once in 6 attempts is 0.469.

3 0
2 years ago
A rectangular block measures 3 cm x 4 cm x 3 cm how much water would it displace?
nika2105 [10]

Answer:

36c^3m^3x^2

Step-by-step explanation:

  1. you first multiply 3 cm by 4 cm by 3 cm to get 36 cm.
  2. its mass in air and its effective mass when submerged in water (density = 1 gram per cubic centimeter).
  3. 1.0 g/cm3
  4. then you get the answer 36c^3m^3x^2
4 0
2 years ago
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