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Annette [7]
2 years ago
13

To have a party at Sky Zone, it cost $125 to rent the room and $5.25 a person for pizza and drinks. The following equation repre

sents the total amount to have a party: T=125 + 5.25p. If Trisha has $250 to spend on her party, how many people can she invite?
Mathematics
1 answer:
mario62 [17]2 years ago
7 0

Answer:

23 people.

Step-by-step explanation:

T=125 + 5.25p

p=23

She'd spend a total of 245.75.

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Given that a function, g, has a domain of -1 ≤ x ≤ 4 and a range of 0 ≤ g(x) ≤ 18 and that g(-1) = 2 and g(2) = 8, select the st
notka56 [123]

Options

  • (A)g(5) = 12
  • (B)g(1) = -2
  • (C)g(2) = 4
  • (D)g(3) = 18

Answer:

(D)g(3) = 18

Step-by-step explanation:

Given that the function, g, has a domain of -1 ≤ x ≤ 4 and a range of                       0 ≤ g(x) ≤ 18 and that g(-1) = 2 and g(2) = 8

Then the following properties must hold

  1. The value(s) of x must be between -1 and 4
  2. The values of g(x) must be between 0 and 18.
  3. g(-1)=2
  4. g(2)=9

We consider the options and state why they are true or otherwise.

<u>Option A: g(5)=12</u>

The value of x=5. This contradicts property 1 stated above. Therefore, it is not true.

<u>Option B: g(1) = -2 </u>

The value of g(x)=-2. This contradicts property 2 stated above. Therefore, it is not true.

<u>Option C: g(2) = 4 </u>

The value of g(2)=4. However by property 4 stated above, g(2)=9. Therefore, it is not true.

<u>Option D: g(3) = 18</u>

This statement can be true as its domain is in between -1 and 4 and its range is in between 0 and 18.

Therefore, Option D could be true.

3 0
2 years ago
A.You have deposited $400 in a simple interest savings account, which pays three percent interest annually. Find the amount of i
djverab [1.8K]

Answer:

0 years: $0

5 years: $460

10 years: $520

15 years: $580

20 years: $640

6 0
2 years ago
Tia Veronica Pam and Lily are sisters. Tia is eight years old and she’s two years older than Pam. Pam is five years younger than
Nastasia [14]

Answer:

Pam (6 years), Tia(8 years), Veronica(11 years) , Lily (15 years)

Step-by-step explanation:

Age of Tia = 8 years

______________________________________________

Given Tia is  2 years older than Pam

mathematically

age  of Pam + 2 years = age of Tia

age  of Pam + 2 years = 8 years

age  of Pam  = 8 years- 2 years = 6 years

______________________________________________

Given Pam is five years younger than Veronica

we can infer that age of veronica is age of Pam + 5 more years

mathematically

age  of Pam + 5 years = age of Veronica

6 years + 5 years = age of Veronica

age  of Veronica   = 11 years

______________________________________________

Given Veronica is four years younger than Lily

we can infer that age of Veronica is (age of Lily - 4  years)

mathematically

age of Veronica = age of lily - 4 years

11 years = age of lily - 4 years

age of lily = 11 years + 4 years = 15 years

age  of lily   = 15 years

______________________________________________

Arranging the list from youngest  to oldest we have

age  of Pam  = 6 years

Age of Tia = 8 years

age  of Veronica   = 11 years

age  of lily   = 15 years

Arranging sisters in order of youngest  to oldest

Pam, Tia, Veronica , Lily

3 0
2 years ago
If a certain number of Grade IV students share 28 or 39 skill books in Mathematics,there are remainders of 4 and 3 books. What i
nadya68 [22]

Answer:

  • 12 students

Step-by-step explanation:

<u>Below numbers are divisible by the number of students:</u>

  • 28 - 4 = 24
  • 39 - 3 = 36

<u>Lets find GCF of 24 and 36:</u>

  • 24 = 2*2*2*3
  • 36 = 2*2*3*3
  • GCF(24,36) = 2*2*3 = 12

The largest possible number of students is 12

7 0
1 year ago
How many terms are in the algebraic expression -7 + 12x4 - 5y8 + x?
Mazyrski [523]

Answer:

4

Step-by-step explanation:

Each mix of numbers and letters that is separated by a + or a - is a term.

5 0
2 years ago
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