I’m struggling with this question, please help me

I need help on 11 and 12 and you don’t need to graph it

Lera25 [3.4K]

Answer:

Part 11) see the explanation

Part 12) The graph in the attached figure

Step-by-step explanation:

Part 11)

Let

x ----> the number of tickets is section A (cost $50 each)

y ----> the number of tickets is section B (cost $40 each)

we know that

At most means "less than or equal to"

$x+y\leq 10$ ----> inequality A

$50x+40y\leq 450$ ----> inequality B

Using a graphing tool

The solution is the shaded area

see the attached figure N 1

Three possible combinations are the points

(0,10),(5,5),(9,0)

That means

(0,10) ----> They buy 0 seats in section A and 10 seats in section B

(5,5) ----> They buy 5 seats in section A and 5 seats in section B

(9,0) ----> They buy 9 seats in section A and 0 seats in section B

Part 12)

Let

x ----> the number of hours Kendra works as a babysitter

y----> the number of hours Kendra works providing technical support

we know that

$x+y\leq 80$ ----> inequality A

At least means "greater than or equal to"

$10x+15y\geq 1,000$ ----> inequality B

using a graphing tool

The solution is the triangular shaded area

The graph in the attached figure N 2

3 0

3 years ago

Point b is between points a and C. AB=2x+5 and BC=5x-1. What is the length of AB

telo118 [61]

Answer: AB = 9

Step-by-step explanation:

Since B is the midpoint, AB and BC must be congruent (since theyre both half of the segment). The equation is:

2x + 5 = 5x - 1

This means x = 2, meaning AB is 9.

7 0

3 years ago

Two types of tickets were sold for an upcoming concert: adult tickets and child tickets. In total, there

Alona [7]

Answer:

Adult ticket is $60

Child ticket is $32

Step-by-step explanation:

Let x = price of adult ticket

y = price of child ticket

(1) 175x + 103y = 13796 (2) 2x + 2y = 184

x + y = 92

y = 92 - x

175x + 103(92 - x) = 13796

175x + 9476 - 103x = 13796

72x = 4320

x = 60 y = 92 - 60

y = 32

4 0

2 years ago

Need help on 15 and 16 PLEASEE!!!

melisa1 [442]

Answer:

Part 15) The next three terms are 5/8,3/4 and 7/8

Part 16) The 37th term is -35.5

Step-by-step explanation:

we know that

In an Arithmetic Sequence the difference between one term and the next is a constant and this constant is called the common difference (d)

Part 15) Find the next three terms of the arithmetic sequence

$\frac{1}{8},\frac{1}{4},\frac{3}{8},\frac{1}{2},...$

so

$a1=1/8\\ a2=1/4\\ a3=3/8\\ a4=1/2\\ a2-a1=1/4-1/8=1/8\\ a3-a2=3/8-1/4=1/8\\ a4=a3=1/2-3/8=1/8$

The common difference is equal to

d=1/8

Find the next three terms of the arithmetic sequence

Find a5

$a5=a4+d$ -----> $a5=1/2+1/8=5/8$

Find a6

$a6=a5+d$ -----> $a6=5/8+1/8=3/4$

Find a7

$a7=a6+d$ -----> $a7=3/4+1/8=7/8$

therefore

The next three terms are

5/8,3/4 and 7/8

Part 16) what is the 37th term of the arithmetic sequence

$4.1,3,1.9,0.8,...?$

so

$a1=4.1\\ a2=3\\ a3=1.9\\ a4=0.8$

$a2-a1=3-4.1=-1.1\\ a3-a2=1.9-3=-1.1\\ a4=a3=0.8-1.9=-1.1$

The common difference is equal to

d=-1.1

We can write an Arithmetic Sequence as a rule

$an=a1+d(n-1)$

substitute the values

$an=4.1-1.1(n-1)$

For n=37

substitute

$a37=4.1-1.1(37-1)$

$a37=4.1-1.1(36)$

$a37=-35.5$

4 0

3 years ago

A watch cost $75.99. If the sales tax rate is 6.25%, what is the amount of sales tax?

Luden [163]

75.99*0.0625=4.75 hope helps

7 0

3 years ago