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
Licemer1 [7]
4 years ago
5

Which situation can be represented by this inequality? 50−3.50x>100−6x Select one: A. Daniel has a $50 Dunkin Donuts™ gift ca

rd and spends $3.50 a day. David has a $100 gift card and spends $6 a day. What is x, the number of days that need to pass for Daniel to have less money on his gift card than David? B. Daniel has a $50 Dunkin Donuts™ gift card and spends $6 a day. David has a $100 gift card and spends $3.50 a day. What is x, the number of days that need to pass for Daniel to have more money on his gift card than David? C.Daniel has a $50 Dunkin Donuts™ gift card and spends $3.50 a day. David has a $100 gift card and spends $6 a day. What is x, the number of days that need to pass for Daniel to have more money on his gift card than David? D. Daniel has a $50 Dunkin Donuts™ gift card and spends $3.50 a day. David has a $100 gift card and spends $6 a day. What is x, the number of days that need to pass for Daniel to have the same amount of money on his gift card as David?
Mathematics
1 answer:
VARVARA [1.3K]4 years ago
6 0

Answer:

Option C is correct

Step-by-step explanation:

Given: inequality is 50-3.50x>100-6x

To find: situation that can be represented by the given inequality

Solution:

Cost of Dunkin Donuts gift card with Daniel = $50

Amount spent by Daniel per day = $3.50

Cost of Dunkin Donuts gift card with David = $100

Amount spent by David per day = $6

Amount left with Daniel after x days = \$(50-3.50x)

Amount left with David after x days = \$(100-6x)

According to question,

Amount left with Daniel after x days > Amount left with David after x days

50-3.50x>100-6x

So, he inequality that satisfies the situation is 50-3.50x>100-6x

Option C is correct

You might be interested in
Please answer correctly !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!
expeople1 [14]
It’s 50 degrees cuz alternate exterior angles
4 0
3 years ago
If a tower casts a shadow 11 feet long the distance from the top of the tower to the end of the shadow is 61 feet .. How many fe
Alexeev081 [22]
Pythagorean theorem
the shadow legnth=bottom leg
legnth from top of tower to end of shadow=hypotounuse
height of tower=vertical leg

a^2+b^2=c^2
a and b are legs
c=hypotonuse

11^2+b^2=61^2
121+b^2=3721
minus 121 both sides
b^2=3600
sqrt both sides
b=60

height of toer is 60 feet
3 0
3 years ago
Help please will mark brainliest!
Nat2105 [25]

Answer:

Option B. Cosec θ = –5/3

Option C. Cot θ = 4/3

Option D. Cos θ = –4/5

Step-by-step explanation:

From the question given above, the following data were obtained:

Tan θ = 3/4

θ is in 3rd quadrant

Recall

Tan θ = Opposite / Adjacent

Tan θ = 3/4 = Opposite / Adjacent

Thus,

Opposite = 3

Adjacent = 4

Next, we shall determine the Hypothenus. This can be obtained as follow:

Opposite = 3

Adjacent = 4

Hypothenus =?

Hypo² = Opp² + Adj²

Hypo² = 3² + 4²

Hypo² = 9 + 16

Hypo² = 25

Take the square root of both side

Hypo = √25

Hypothenus = 5

Recall:

In the 3rd quadant, only Tan is positive.

Therefore,

Hypothenus = –5

Finally, we shall determine Sine θ, Cos θ, Cot θ and Cosec θ to determine which option is correct. This can be obtained as follow:

Opposite = 3

Adjacent = 4

Hypothenus = –5

Sine θ = Opposite / Hypothenus

Sine θ = 3/–5

Sine θ = –3/5

Cos θ = Adjacent / Hypothenus

Cos θ = 4/–5

Cos θ = –4/5

Cot θ = 1/ Tan θ

Tan θ = 3/4

Cot θ = 1 ÷ 3/4

Invert

Cot θ = 1 × 4/3

Cot θ = 4/3

Cosec θ = 1/ Sine θ

Sine θ = –3/5

Cosec θ = 1 ÷ –3/5

Invert

Cosec θ = 1 × –5/3

Cosec θ = –5/3

SUMMARY

Sine θ = –3/5

Cos θ = –4/5

Tan θ = 3/4

Cot θ = 4/3

Cosec θ = –5/3

Therefore, option B, C and D gives the correct answer to the question.

5 0
3 years ago
30% of Number A is the same as 40% of Number B.
Goryan [66]

30% of number A means

\dfrac{30A}{100}=\dfrac{3A}{10}

similarly, 40% of number B means

\dfrac{40B}{100}=\dfrac{2B}{5}

These must be equal, so we have

\dfrac{3A}{10}=\dfrac{2B}{5}

Multiply both sides by 10 to get

3A=4B \iff A=\dfrac{4B}{3}

So, you can choose any number for A, and then you multiply it by 4/3 to get B. There are infinitely many solutions to this equation.

5 0
3 years ago
Rob deposits $1,000 in a savings account at New York State Bank that pays 1.4% interest, compounded monthly.
Nata [24]

Answer:

14

Step-by-step explanation:

p=$1000

rate percent=1.4%

time=one year

then

1.4/100*100=14

8 0
3 years ago
Other questions:
  • Help please i really really really need it.....
    8·1 answer
  • Mr. Schwartz builds toy cars. He begins the week with a supply of 85 wheels, and uses 4 wheels for each car he builds. Mr. Schwa
    6·1 answer
  • part 2 : A local pizzeria sold 72 pizzas yesterday. Suppose the actual number of pizzas sold was 77. Determine if the number of
    6·1 answer
  • The radius of a circle is 4.3 inches. Using the formula A ≈ 3r^2, what is the approximate area of the circle?
    15·1 answer
  • Instructions: state what additional information is required in order to know that the triangle in the image below are congruent
    15·1 answer
  • 1.3.PS-44 Question Help A housekeeper had 2 3 of a spray bottle of a cleaning solution. She used 1 4 of the solution in a day. H
    5·1 answer
  • I don’t know how to do these problems but I’m supposed to find X
    14·1 answer
  • Please help I do not know how to do this
    5·2 answers
  • Question 28 of 45 V50​
    9·2 answers
  • PLEASE HELP FAST 20 POINTS! I need A. And B.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!