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Firlakuza [10]
3 years ago
6

Dima called her friend to tell her that she saved 30% on her new skirt at a discount store. Her friend told her that she could h

ave gotten a better deal at a different store that was advertising a sale of off all clothing. If the original price of Dima’s skirt was $54, how much more could she have saved at the store her friend suggested?
$1.11
$1.80
$36.00
$37.80
Mathematics
2 answers:
Mkey [24]3 years ago
8 0

Answer:

The correct answer is $1.80

Ket [755]3 years ago
4 0

Answer:

$1.80

Step-by-step explanation:

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Find the solution of the differential equation dy/dt = ky, k a constant, that satisfies the given conditions. y(0) = 50, y(5) =
irga5000 [103]

Answer:  The required solution is y=50e^{0.1386t}.

Step-by-step explanation:

We are given to solve the following differential equation :

\dfrac{dy}{dt}=ky~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

where k is a constant and the equation satisfies the conditions y(0) = 50, y(5) = 100.

From equation (i), we have

\dfrac{dy}{y}=kdt.

Integrating both sides, we get

\int\dfrac{dy}{y}=\int kdt\\\\\Rightarrow \log y=kt+c~~~~~~[\textup{c is a constant of integration}]\\\\\Rightarrow y=e^{kt+c}\\\\\Rightarrow y=ae^{kt}~~~~[\textup{where }a=e^c\textup{ is another constant}]

Also, the conditions are

y(0)=50\\\\\Rightarrow ae^0=50\\\\\Rightarrow a=50

and

y(5)=100\\\\\Rightarrow 50e^{5k}=100\\\\\Rightarrow e^{5k}=2\\\\\Rightarrow 5k=\log_e2\\\\\Rightarrow 5k=0.6931\\\\\Rightarrow k=0.1386.

Thus, the required solution is y=50e^{0.1386t}.

8 0
3 years ago
Read 2 more answers
Four people must stand in a row for a group photo. How many different ways can they be lined up for the photo?
Finger [1]

Answer:

they can be lined up from front,side, back

Step-by-step explanation:

if u line them by side their in a straight line and hips faced to camera,or smallest to tallest  in face front camera or back point of view in jumping, or holding hands.

7 0
3 years ago
In simplest radical form, what are the solutions to the quadratic equation 6 = x2 – 10x?
Marina86 [1]

we have

6 = x^{2}- 10x

Complete the square. Remember to balance the equation by adding the same constants to each side

x^{2}- 10x+25=6+25

x^{2}- 10x+25=31

Rewrite as perfect squares

(x-5)^{2}=31

(x-5)=(+/-)\sqrt{31}\\ x1=5+\sqrt{31} \\ x2=5-\sqrt{31}

therefore

the answer is

the solutions are

x1=5+\sqrt{31} \\ x2=5-\sqrt{31}

7 0
3 years ago
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In the scale used on a blueprint, 12 inch represents 3 feet. On the blueprint what is the length of a room with an actual length
lozanna [386]

Answer:

27 feet

Step-by-step explanation:

5 0
3 years ago
Leena consumes 400 cal at breakfast and 350 cal at lunch. She consumes 2/3 of her daily calories at dinner. If X represents the
Zina [86]
1) Data:

Meal                calories consumed

Breakfast          400 cal
Lunch               350 cal
Dinner                x
                       ------------------
Total                 400 + 350 + x = 750 + x

2) Equation: <span>

She consumes 2/3 of her daily calories at dinner => (2/3)[750+x] = x

3) Analyze each statement:

</span><span>a) Lena consumed 1500 cal at dinner.

Solve the equation to find if the statement is true:
</span>
<span><span>(2/3)[750+x] = x</span>

2(750+x) = 3x

1500 + 2x = 3x

1500 = 3x - 2x

x = 1500

Conclusión: TRUE stament.

b) Do you equation 2/3 (x+400+350)=x can be used to model the situation.

That is the same equation that I found above.

Conclusion: TRUE statement

c) Lena consumed 500 cal at dinner.

She consumed (2/3) * 1500 = 500 cal

Conclusion: TRUE statement

d) Lena consumed 1000 cal at dinner.

No, we calculated that she consumed 500 cal at dinner.

Conclusion: FALSE statement

e) The equation 2/3(x)=x(400+350) can be used to model the situation.

No: (2/3) x = 500 and x(400+350) = 500*750 = 375,00, which are not equal.

Conclusion: FALSE statement.

f) The equation 2/3x(400+350)=x Can’t be used to model the situation

No: in that equation the variable x cancels out because it appears a factor at both sides.

</span>Conclusion: TRUE statement
3 0
3 years ago
Read 2 more answers
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