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pochemuha
3 years ago
13

Please add explanation as well.

Mathematics
1 answer:
Marianna [84]3 years ago
3 0
It is the first one. Three times a number means 3x. The sum of 3x and 7 is 3x + 7 because sum means additions. And 3x + 7 is greater than four times the number which is 4x and greater than is this symbol >. So 3x + 7 > 4x
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A group of people went to a coffee shop.
Zielflug [23.3K]

Answer:

Fraction of the people chose a tart = \frac{13}{45}

Step-by-step explanation:

Given - A group of people went to a coffee shop. Each person chose a

            drink  and a treat. number of people who chose coffee: number of  

            people who chose tea = 1:4. Of those who chose coffee,  number of  

            people who chose a muffin number of people who chose a tart =    

            2:7. Of  those who chose tea,  number of people who chose a muffin  

            : number of people who chose a tart = 5:1.

To find - What fraction of the people chose a tart?

Proof -

Let the Total number of People went to a coffee shop = 5x

Now,

As given, number of people who chose coffee: number of people who chose tea = 1:4

⇒Total number of people who chooses coffee = \frac{1}{5}.5x = x

  Total number of people who chooses tea  = \frac{4}{5}.5x = 4x

Now,

As given,

Of those who choose coffee,  number of people who chose a muffin number of people who chose a tart = 2:7

⇒Total number of people who choose muffin after coffee = \frac{2}{9}x

   Total number of people who choose tart after coffee = \frac{7}{9}x

Also,

Given that

Of those who chose tea,  number of people who chose a muffin : number of people who chose a tart = 5:1

⇒Total number of people who choose muffin after tea = \frac{5}{6}.4x = \frac{20}{6}x

   Total number of people who choose tart after tea = \frac{1}{6}.4x = \frac{4}{6}x

∴ we get

Total number of people who chooses tart = Total number of people who choose tart after coffee + Total number of people who choose tart after tea

⇒Total number of people who chooses tart = \frac{7}{9}x + \frac{4}{6}x

                                                                         = \frac{7}{9}x + \frac{2}{3}x

                                                                         = \frac{7x + 6x}{9}

                                                                         = \frac{13}{9}x

⇒Total number of people who chooses tart = \frac{13}{9}x

Now,

Fraction of the people chose a tart = \frac{People choose tart}{Total people}

                                                           = \frac{\frac{13}{9}x }{5x}

                                                           = \frac{13}{45}

⇒Fraction of the people chose a tart = \frac{13}{45}

4 0
3 years ago
At the beginning of spring, Arianna planted a small sunflower in her backyard. When
zhannawk [14.2K]

Answer:

3 weeks: 21.5 inches

w weeks: 20+0.5w inches

Step-by-step explanation:

Equation: 20+0.5w.

20 was when it was first planted and 0.5 is the amount it grows per week.

6 0
3 years ago
HELP AP Math
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4 to the tenth power
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5 0
3 years ago
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During a business trip, an individual stopped at two rest stops. In the parking lot of the first rest stop, they counted 20 cars
olganol [36]

Answer

given,

on first stop

number of car = 20  and number of trucks = 18

on second stop

number of car = 18  and number of trucks = 10

we need to calculate which rest stop has higher ratio of car to truck.

Rest Stop 1

ratio= r₁ =\dfrac{cars}{trucks}

           r₁ =\dfrac{20}{18}

           r₁ =\dfrac{10}{9}

Rest Stop 2

ratio= r₂ =\dfrac{cars}{trucks}

           r₂ =\dfrac{18}{10}

           r₂=\dfrac{9}{5}

hence, r₂ > r₁

rest stop 2 has more car to truck ratio than rest stop 1

3 0
3 years ago
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