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aleksandrvk [35]
3 years ago
12

Jamie is selling tickets at a whale watch at a local beach.The tickets cost $24.40 for an adult and $14.50 for a child.Jamie ear

ns a 30% commission on all ticket sales.Write an expression using parentheses to represent how much Jamie earns from selling tickets,where a is the number of adult tickets c is the number of children tickets sold.Use the distributive property to simplify the expression.please explain too :D
Mathematics
1 answer:
wariber [46]3 years ago
7 0
30% = .3

.3(24.40a + 14.50c)

24.40 = cost of adult ticket
14.50 = cost of child ticket
a = # of adult tickets sold
c = # of child tickets sold

.3 * 24.40a + .3 * 14.50c
answer: 7.32a + 4.35c 

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2(3x – 1) = 6x – 2 number of solutions
Alexxandr [17]

Answer: All real numbers are solutions.

Step-by-step explanation:

Let's solve your equation step-by-step.

2(3x−1)=6x−2

Step 1: Simplify both sides of the equation.

2(3x−1)=6x−2

(2)(3x)+(2)(−1)=6x+−2(Distribute)

6x+−2=6x+−2

6x−2=6x−2

Step 2: Subtract 6x from both sides.

6x−2−6x=6x−2−6x

−2=−2

Step 3: Add 2 to both sides.

−2+2=−2+2

0=0

4 0
2 years ago
the arithmetic sequence ai is defined by the formula: a1 = -53 ai = ai-1 + 6 find the sum of the first 880 terms in the sequence
maxonik [38]

Answer:

The sum of the first 880 terms in the sequence is 2,273,920.

Step-by-step explanation:

Arithmetic sequence:

The difference between consecutive terms is always the same, called common difference, and the nth term is given by:

a_{n} = a_0 + (n-1)d

In which d is the common difference.

Sum of the first n terms:

The sum of the first n terms of an arithmetic sequence is given by:

S_{n} = \frac{n(a_1+a_n)}{2}

ai = ai-1 + 6

This means that d = 6

In this question:

Sum of the first 800 terms, so n = 800

First term is -53, so a_1 = -53

The 880th term is:

a_{880} = -53 + (880-1)*6 = 5221

Sum

S_{n} = \frac{880(-53+5221)}{2} = 440(-53+5221) = 2273920

The sum of the first 880 terms in the sequence is 2,273,920.

4 0
2 years ago
lyndsay has 3 3/4 gallons of paint she plans on using 1 1/4 gallons for each room how many rooms will she be able to paint?
vichka [17]

Answer:

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Step-by-step explanation:

7 0
2 years ago
Which table represents a linear function?
svp [43]

Answer:

3

Step-by-step explanation:

x 1,2,3,4

y-3,-5,-7,-9

y =  - 3 - (x - 1) \times 2

6 0
2 years ago
Read 2 more answers
Does anyone know the answer to this​
algol [13]

Answer:

x² + (y+3)² = 4²

Step-by-step explanation:

A close look at the diagram reveals that the center of this circle is (0, -3) and that the radius is 4 units.

Starting from the general equation of a circle, (x - h)² + (y - k)² = r²

and substituting the givens (h = 0, k = -3, r = 4), we get:

x² + (y+3)² = 4².  This is Answer B.

4 0
2 years ago
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