Find the LCM of the following by listing their multiples 5 ,10 ,15​

Answer:

Coordinates are (–6, 0), (2,0).

Step-by-step explanation:

Given the function

we have to find the x-intercepts of the graph of the function f(x).

As the value of y coordinate is 0 on x-axis which gives the x-intercepts of the function.

Put y=0 in above function we get the x-intercepts.

⇒

⇒

⇒

⇒ x=2 and x=-6

Hence, x-intercepts are 2 and -6

⇒ Coordinates (–6, 0), (2,0).

Option 1 is correct.

Answer:

Step 1: Remove parentheses using the Distributive Law:

-3 + 5(p+2) = -3 + 5p + 5(2)

Step 2: Collect like terms:

-3 + 5p + 10

The simplified expression is:

5p + 7

Step-by-step explanation:

Step-by-step explanation:

To remove parentheses using the Distributive Law and then collect like terms, follow these steps:

Step 1: Distributive Law

Multiply each term inside the parentheses by the number outside the parentheses:

-3 + 5(p) + 5(2)

Step 2: Simplify

-3 + 5p + 10

Step 3: Collect Like Terms

Combine the constant terms (-3 and 10) and the like terms with 'p' (5p):

5p + 7

So, the simplified expression after removing parentheses and collecting like terms is 5p + 7.

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

School allots £1500 to spend on a trip to the theatre.

Theatre tickets have a regular cost of £35 each and are on offer for 1/5 off

therefore 4/5*35 = 28 for the tickets

:

A train ticket for the day will cost £15 each.

therefore total cost for each: 28 + 15 = 43 pounds each

:

If 2 teachers and the maximum number of students attend, how much money will the school have left over?

:

let s = no. of students

43(s+2) =< 1500

43s + 86 =< 1500

43s =< 1500 - 86

43s =< 1414

s =< 1414/43

s =< 32.88, 32 students max

:

find how much left over. plus 2 teachers = 34 people

1500 - 43(34) =

1500 - 1462 = 38 pounds left over

Final answer:

After taking into account the reduced ticket price and transportation costs for two teachers and the maximum number of students (32) that can attend, the school will have £34 left over.

Explanation:

The question involves a calculation of total spending on a school trip to the theatre including train tickets and theatre tickets for teachers and students. The regular cost of each theatre ticket is £35 but there is a 1/5 off, making each ticket cost £28. For train tickets, each costs £15. If we calculate for the 2 teachers first, it will be £28 (theatre ticket per teacher) x 2 (total teachers) + £15 (train ticket per teacher) x 2 (total teachers) = £86. We then subtract this from the total money spent to find out the available budget for the students which is £1500 - £86 = £1414. To find out maximum students that can attend, we need to divide this available budget for students with total cost per student (theatre ticket + train ticket), i.e., £1414 / (£28 (theatre ticket per student) + £15 (train ticket per student)) = £1414 / £43 = 32 students (in case of a fractional number, the number of students is always rounded down because we can't have a fraction of a student). So, the money left over will be the remaining of the £1414 after taking out the expense for the 32 students: £1414 - 32 students * £43 = £34.

Learn more about Budget allocation here:

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The correct answer is:

B) hashmarks.

Explanation:

When two line segments are congruent, we mark this using small dashes through the segments. These dashes are called "hashmarks."